d y, given that -b*y + 0*y**2 + 2*y + y**2 - y**3 = 0.
0, 1
Let w = -41 + 45. Let u(o) be the second derivative of -1/3*o**3 + 1/10*o**5 + 1/6*o**w + 2*o + 0 - o**2. Solve u(q) = 0.
-1, 1
Let j be (2 + -1)/(1/3). Suppose -4*u + u + 2*d = -13, 0 = u + 3*d + 3. Factor -7/3*r + 1/3*r**4 - 5/3*r**u + j*r**2 + 2/3.
(r - 2)*(r - 1)**3/3
Let w(t) = t + 8. Let y be w(-6). Let m = 4 - y. Factor -1/4*r**m - 1 + r.
-(r - 2)**2/4
Let q be (-7)/14 - (-41)/66. Let m(t) be the first derivative of 4/11*t + 1/22*t**4 - 3 - q*t**3 - 1/11*t**2. Factor m(s).
2*(s - 2)*(s - 1)*(s + 1)/11
Let i(y) be the second derivative of -y**4/4 - y**3 + 16*y. Let i(d) = 0. Calculate d.
-2, 0
Let z(r) be the second derivative of r**5/15 + 2*r**4/3 + 2*r**3 + 8*r**2/3 + 12*r. Suppose z(u) = 0. Calculate u.
-4, -1
Factor -z + z - 20*z - 5*z**2 - 20 + 0*z.
-5*(z + 2)**2
Let q(v) be the second derivative of v**6/12 - v**5/8 - 5*v**4/24 + 5*v**3/12 - 7*v. Let q(r) = 0. What is r?
-1, 0, 1
Suppose -15 = -4*o - y, 2*y = -1 - 1. Let i(x) be the second derivative of x + 0*x**3 + 0 + 0*x**2 - 1/54*x**o. Factor i(g).
-2*g**2/9
Let h(s) be the second derivative of s**6/20 - 3*s**5/20 - 3*s**4/8 + 2*s**3 - 3*s**2 - 8*s. Suppose h(g) = 0. What is g?
-2, 1, 2
Solve -117/7*g**2 + 6/7 + 111/7*g**3 - 3/7*g - 108/7*g**5 + 111/7*g**4 = 0 for g.
-1, -2/9, 1/4, 1
Let w(z) = z**3 + 0*z**2 + 0*z**3 + z**2 + 2. Let j be w(0). Factor -2/3*h**5 + 0*h**j + 0 - 2/3*h + 4/3*h**3 + 0*h**4.
-2*h*(h - 1)**2*(h + 1)**2/3
Let l(p) = -p - 10. Let r be l(-8). Let i(m) = 4*m**3 + 2*m**2 - m + 1. Let a(j) = j**3 + j**2. Let z(v) = r*i(v) + 6*a(v). Solve z(g) = 0.
-1, 1
Let q(w) be the first derivative of w**5/60 - w**4/36 - w**3/18 + w**2/6 - w - 3. Let i(x) be the first derivative of q(x). Let i(r) = 0. What is r?
-1, 1
Suppose -9*i = -7*i - 12. Suppose -11 = -i*a + 7. Determine u, given that -2/7*u + 2/7*u**2 + 0 - 2/7*u**4 + 2/7*u**a = 0.
-1, 0, 1
Suppose 16 - 22 = 2*p. Let w be p*(87/45 + -2). Determine a so that 3/5*a**2 - w*a + 0 + 1/5*a**4 - 3/5*a**3 = 0.
0, 1
Let r = -24 + 18. Let p(w) = w + 8. Let f be p(r). Factor 2*u**f - 2*u - 1/2*u**3 + 0.
-u*(u - 2)**2/2
Let u = 101/130 - -11/26. Suppose 0 = s - 4 - 0. Factor 2/5*o**s - 6/5*o**3 + 0 - 2/5*o + u*o**2.
2*o*(o - 1)**3/5
Let v(l) be the third derivative of l**10/75600 + l**9/15120 + l**8/10080 - l**5/20 - 3*l**2. Let o(w) be the third derivative of v(w). Solve o(t) = 0 for t.
-1, 0
Let g(a) be the first derivative of -1/6*a**3 + 0*a + 1/10*a**5 - 1/4*a**4 + 1/2*a**2 - 8. Determine i so that g(i) = 0.
-1, 0, 1, 2
Let y(c) be the first derivative of 2/5*c**4 + 0*c**2 + 6/25*c**5 - 6 + 2/15*c**3 + 0*c. Solve y(r) = 0 for r.
-1, -1/3, 0
Let z be (-4)/(-3) - 5*6/30. Factor -1/3*j + z*j**3 - 1/3*j**4 + 1/3*j**2 + 0.
-j*(j - 1)**2*(j + 1)/3
Let z = -1/18 + 2/9. Let v(i) be the third derivative of 1/30*i**5 + 2*i**2 + z*i**4 + 0 + 0*i + 1/3*i**3. Factor v(t).
2*(t + 1)**2
Factor -5*b**4 - 3*b**2 + 18*b**3 + 54*b + 3*b**4 - 51*b**2.
-2*b*(b - 3)**3
Let m(n) be the third derivative of n**9/1512 - n**8/210 + n**7/105 + n**3/3 + n**2. Let g(z) be the first derivative of m(z). Factor g(l).
2*l**3*(l - 2)**2
Let n be -2 + (-1 - (-8)/1). Let -5 + 24*b**4 - 8*b**3 - 10*b**n - 20*b**2 + 12*b + 6*b - 1 + 2 = 0. Calculate b.
-1, 2/5, 1
Let v be -3 - 3/(-584)*638. Let g = v - 2/73. Factor 1/2*c**2 + g*c**3 + 1/4*c + 0.
c*(c + 1)**2/4
Let k = -19 + 31. Suppose -4*l = -5*o - 37, 2*o + k = 2*l - 4. Factor 0*v + 2/7*v**2 - 4/7*v**l + 2/7*v**4 + 0.
2*v**2*(v - 1)**2/7
Let r(y) be the second derivative of 0 - 1/135*y**6 + 0*y**3 - 3*y - 1/90*y**5 + 1/54*y**4 + 1/189*y**7 + 0*y**2. Factor r(d).
2*d**2*(d - 1)**2*(d + 1)/9
Suppose 79*o = 78*o. Factor -2/3*x + o + 1/3*x**2.
x*(x - 2)/3
Let p = 46 + -39. Let a(j) be the third derivative of -1/105*j**p + 0 + 1/12*j**4 + 0*j - 1/30*j**6 + 3*j**2 + 1/15*j**5 + 1/168*j**8 - 1/3*j**3. Factor a(c).
2*(c - 1)**3*(c + 1)**2
Let f be 624/(-1510) - 20/(-50). Let l = f + 626/1661. Factor 6/11*q + l + 2/11*q**2.
2*(q + 1)*(q + 2)/11
Let s be (-3 - -1) + 7 + (-35)/7. Solve 1/4*k**2 + 0 + s*k = 0 for k.
0
Let s(n) be the third derivative of -1/40*n**6 + 0*n**4 - 1/336*n**8 - 2*n**2 + 1/60*n**5 + 1/70*n**7 + 0 + 0*n**3 + 0*n. Let s(i) = 0. What is i?
0, 1
Let k be 4/(24/33) - 4. Determine w, given that -1/2*w**3 + 1/2 + 3/2*w**2 - k*w = 0.
1
Suppose -19 = -7*h + 2*h - x, -32 = -4*h - 5*x. Factor -4*k**h + 5*k**2 - 2*k**4 + 2*k + 2*k**3 - 3*k**2.
-2*k*(k - 1)*(k + 1)**2
Let f(c) be the first derivative of 25*c**4/16 - 15*c**3/4 + 3*c**2 - c - 3. Suppose f(z) = 0. Calculate z.
2/5, 1
Let n(y) be the first derivative of -8*y**5/45 + y**4/6 + 2*y**3/27 + 8. Let n(j) = 0. Calculate j.
-1/4, 0, 1
Suppose -23 + 13 = -5*a. Let d(m) be the first derivative of -2*m - a*m**3 - 2 + 1/2*m**4 + 3*m**2. Suppose d(v) = 0. Calculate v.
1
Let b = -1328/9 - -148. Determine s so that 2/9*s**2 + 2/9 - b*s = 0.
1
Let f(s) be the second derivative of -1/30*s**3 + 2*s + 0*s**2 - 1/60*s**4 + 0. Factor f(a).
-a*(a + 1)/5
Let n(l) be the third derivative of 1/5*l**6 + 0*l + 0*l**3 + 1/84*l**8 + 8/105*l**7 + 0 - 6*l**2 + 4/15*l**5 + 1/6*l**4. Find t, given that n(t) = 0.
-1, 0
Let n = -36 + 17. Let i be 4/(-20) + n/(-45). Let 0*z + 0 + 2/9*z**5 + 2/9*z**2 - 2/9*z**3 - i*z**4 = 0. What is z?
-1, 0, 1
Suppose -32 - 53 = -4*l + 5*z, -5*l - z + 99 = 0. Suppose -2*k - i = -11, -l - 8 = -k - 5*i. Let 4*o**3 - k*o**3 + o**3 + o**2 + o**4 = 0. What is o?
-1, 0
Let z(y) be the second derivative of -y**7/189 + 4*y**5/45 + y**4/9 - 7*y**3/27 - 2*y**2/3 + 30*y. Suppose z(j) = 0. Calculate j.
-2, -1, 1, 3
Let p(h) be the second derivative of h**9/6048 - h**7/840 + h**5/240 + 7*h**3/6 - 2*h. Let l(n) be the second derivative of p(n). Factor l(z).
z*(z - 1)**2*(z + 1)**2/2
Let o(m) = -m**3 - 1. Let w(n) = n**3 + 8*n**2 + 4*n - 3. Let f(j) = -3*o(j) + w(j). Find k such that f(k) = 0.
-1, 0
Let l be 0/(1/(-1) - -2). Suppose v + 3*i - 12 = 0, l*i = -3*v - 5*i + 20. What is p in -1/3*p + 0*p**2 + 1/3*p**3 + v = 0?
-1, 0, 1
Let g(x) be the first derivative of -x**4/9 - 8*x**3/27 + 2*x**2/9 + 8*x/9 - 23. Factor g(z).
-4*(z - 1)*(z + 1)*(z + 2)/9
Let a(f) be the third derivative of -1/8*f**4 + 0 - 1/20*f**5 + 0*f**3 + 6*f**2 + 0*f. Factor a(z).
-3*z*(z + 1)
Let v(t) = -t + 4. Let u be v(5). Let n(q) = 2*q**2 - 2*q - 12. Let c(h) = 0 + 0 - 1. Let d(k) = u*n(k) + 12*c(k). Factor d(y).
-2*y*(y - 1)
Let o = 4 - 2. Factor 2/11*u - 4/11 + 2/11*u**o.
2*(u - 1)*(u + 2)/11
Suppose 2 = 2*z + 3*l - 0, 4*z - 4 = -4*l. Let y be (z/4)/(7/8). Find b such that 0*b**3 + 0 - 2/7*b - 4/7*b**4 + y*b**5 + 4/7*b**2 = 0.
-1, 0, 1
Solve 1/2*c**2 - c + 0 = 0 for c.
0, 2
Let c(d) be the first derivative of -d**9/1512 - d**8/840 + d**7/420 + d**6/180 + d**3 - 4. Let p(f) be the third derivative of c(f). Factor p(a).
-2*a**2*(a - 1)*(a + 1)**2
Let q(w) be the second derivative of -16*w**7/21 + 8*w**6/15 + 7*w**5/10 + w**4/6 - w. Determine o so that q(o) = 0.
-1/4, 0, 1
Let p(l) be the first derivative of -l**6/2 + 2*l**5/5 + 5. Determine t, given that p(t) = 0.
0, 2/3
Let d be 16 - 15 - 152/530. Let c = d + -6/53. What is y in -3/5*y**2 - 1/5 - 1/5*y**3 - c*y = 0?
-1
Suppose k**2 - k**3 - k**3 - 3*k**2 = 0. What is k?
-1, 0
Let -1/3*d + 1/3 - 4/3*d**4 - 11/3*d**3 - 3*d**2 = 0. Calculate d.
-1, 1/4
Find a, given that -2/7*a**4 + 0*a + 0 + 4/7*a**2 + 2/7*a**3 = 0.
-1, 0, 2
Suppose -8 + 15*t - 15*t + 6*t**2 + 2*t**3 = 0. What is t?
-2, 1
Suppose -5*g = -7 - 18. Let a be (120/11)/g - 2. Solve a*c - 2/11*c**3 + 2/11*c**2 + 0 - 2/11*c**4 = 0.
-1, 0, 1
Let t be 4 + (5 - 3/1). Suppose 0 = -6*z + 8*z - t. Factor 12*r**3 - 3*r**4 + 3*r**4 - z*r**4 + 6*r + 0*r**4 - 15*r**2.
-3*r*(r - 2)*(r - 1)**2
Let z(p) = 1. Let h(l) = -l**2 + 3*l + 7. Let s(w) = 2*h(w) - 14*z(w). Suppose s(c) = 0. Calculate c.
0, 3
Let p = -1341 + 1344. What is l in 1/2 + 1/2*l - 1/2*l**p - 1/2*l**2 = 0?
-1, 1
Let c(z) be the third derivative of z**7/21 + z**6/48 - z**5/6 - 5*z**4/48 - 26*z**2. Solve c(y) = 0 for y.
-1, -1/4, 0, 1
Let z(i) be the first derivative of i**6/120 + i**5/40 - i**3 - 3. Let u(s) be the third derivative of z(s). Solve u(r) = 0.
-1, 0
Let m(v) = -v**2 - v + 8. Let n be m(0). Determine x, given that -12*x**2 + n*x**2 + 5 + 11 = 0.
-2, 2
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