 be t/25 + (-52)/(-70). Factor 2/7*b**2 - k*b**3 - 2/7 + 8/7*b.
-2*(b - 1)*(b + 1)*(4*b - 1)/7
Let x(y) be the third derivative of -y**6/220 - y**5/330 + y**4/44 + y**3/33 + 10*y**2. What is z in x(z) = 0?
-1, -1/3, 1
Suppose -2*g + 3*g - 6 = -2*d, 0 = 4*d + 3*g - 14. Let k = d + -2. Suppose k + 0*b + 1/5*b**3 + 1/5*b**2 = 0. Calculate b.
-1, 0
Let z(s) = -19*s**5 - 12*s**4 + 13*s**3 - 13*s - 13. Let b(g) = 9*g**5 + 6*g**4 - 6*g**3 + 6*g + 6. Let w(n) = -13*b(n) - 6*z(n). Solve w(m) = 0.
-2, 0
Let r(k) be the first derivative of 1/2*k**2 + 1/3*k**3 - 2*k + 4. Factor r(l).
(l - 1)*(l + 2)
Let x(k) be the second derivative of -k**7/252 - k**6/90 + k**5/60 + k**4/18 - k**3/36 - k**2/6 + 9*k. Solve x(i) = 0 for i.
-2, -1, 1
Let u = -1/52 + 10/13. What is y in -9/4*y**3 + u*y**4 + 0 - 3/4*y + 9/4*y**2 = 0?
0, 1
Let w(x) = 6*x**4 + 6*x**3 + 18*x**2 + 10*x. Let m(k) = -7*k**4 - 5*k**3 - 19*k**2 - 11*k. Let l(f) = 4*m(f) + 5*w(f). Suppose l(h) = 0. Calculate h.
-3, -1, 0
Let g = -453/5 - -91. Let n(b) be the first derivative of 2*b + 0*b**4 + 0*b**2 - 4/3*b**3 + 2 + g*b**5. Factor n(x).
2*(x - 1)**2*(x + 1)**2
Determine b, given that 10*b**2 + 4*b**4 + 0*b**3 - 16*b**2 - b**4 - 3*b**3 = 0.
-1, 0, 2
Solve 2/5*w**3 + 2/5 + 6/5*w**2 + 6/5*w = 0 for w.
-1
Suppose -12 = 5*u + 58. Let x = u + 17. Factor 0*m + 0 + 6/5*m**x - 4/5*m**2 + 2*m**4.
2*m**2*(m + 1)*(5*m - 2)/5
Let z(l) = -l**2 + 6*l + 3. Let f be z(7). Let d be (-13)/f - (-1)/(-4). Determine i so that 0*i**d + 1 + 5*i**2 - 3*i**3 - 2 - i + 0 = 0.
-1/3, 1
Let p(q) be the second derivative of -1/3*q**4 + 5*q + 0*q**2 + 0 - 1/6*q**3. Solve p(l) = 0 for l.
-1/4, 0
Factor -1/5*r + 4/5 - 1/10*r**2.
-(r - 2)*(r + 4)/10
Let w(z) be the second derivative of -z**6/150 + 3*z**5/100 - z**4/30 - 3*z. Let w(l) = 0. Calculate l.
0, 1, 2
Let c be ((-1)/9)/(4/(-24)). Let r(d) be the first derivative of d**2 + 1 + 4*d - c*d**3. Let r(u) = 0. Calculate u.
-1, 2
Let a(i) be the second derivative of 0*i**4 + i + 0*i**2 - 1/6*i**3 + 0 + 1/20*i**5. Factor a(w).
w*(w - 1)*(w + 1)
Factor 1/4*s**3 + 1/4 - 1/4*s**2 - 1/4*s.
(s - 1)**2*(s + 1)/4
Let o = -13 + 18. Factor 2*z**3 - 9*z**2 + z + 3*z - 3 + o*z + z**3.
3*(z - 1)**3
Factor -z**2 - 6*z - 12*z**3 + 10*z**3 - 2 - 5*z**2.
-2*(z + 1)**3
Factor 45 - 3*x**3 + 2*x - 48 + x + 3*x**2.
-3*(x - 1)**2*(x + 1)
Let t(o) be the second derivative of o**6/60 - o**5/18 + o**4/18 + 3*o**2/2 + 10*o. Let p(d) be the first derivative of t(d). Factor p(w).
2*w*(w - 1)*(3*w - 2)/3
Let c(o) be the second derivative of 2*o**7/7 - 32*o**6/15 + 24*o**5/5 - 32*o**3/3 + 2*o. Factor c(r).
4*r*(r - 2)**3*(3*r + 2)
Let l(b) be the second derivative of -3/5*b**5 + 0 + b + 3/2*b**2 + 1/10*b**6 + 3/2*b**4 - 2*b**3. Factor l(p).
3*(p - 1)**4
Let i = 85 + -83. Factor -54/7 - 54/7*k - 2/7*k**3 - 18/7*k**i.
-2*(k + 3)**3/7
Let h(x) be the first derivative of 21*x**5/5 + 3*x**4/2 - 21. What is i in h(i) = 0?
-2/7, 0
Suppose k - 4*k = 0. Suppose 10 = 2*f + 3*f, 16 = 2*g + 5*f. Factor 1/2*a**g + 0 - a**2 + k*a.
a**2*(a - 2)/2
Let b(i) be the second derivative of -5*i**4/12 + 5*i**3/2 - 5*i**2 + 11*i. Factor b(h).
-5*(h - 2)*(h - 1)
Suppose -27*d + 25 = 25. Determine c so that 0*c**2 + 2/3*c**5 - 2/3*c**3 + 0*c + 0*c**4 + d = 0.
-1, 0, 1
Suppose 5*q - 21 + 1 = 0. Find o such that 5*o**3 + 2*o**q - 2*o - 3*o**3 - 2*o**2 + 0*o = 0.
-1, 0, 1
Factor -4/17*t - 2/17 - 2/17*t**2.
-2*(t + 1)**2/17
Let o(b) = 2*b**2 - 9*b - 5. Let c be o(5). Factor 1/5*j**2 - 1/5*j**4 + 1/5*j**3 - 1/5*j + c.
-j*(j - 1)**2*(j + 1)/5
Let j(u) be the first derivative of -4*u**3/3 - 6. Determine a, given that j(a) = 0.
0
Let c(j) be the first derivative of -j**5/240 + j**4/96 + 3*j**2/2 + 1. Let l(a) be the second derivative of c(a). Let l(z) = 0. Calculate z.
0, 1
Let c = -124 - -127. Let j(w) be the second derivative of 0 + 0*w**c - 1/36*w**4 - 3*w + 1/6*w**2. Factor j(v).
-(v - 1)*(v + 1)/3
Let b(h) = 6*h + 0*h - 5*h - 5*h - 5*h**3 - 3*h**4. Let i(c) = 5*c**4 + 9*c**3 + 7*c. Let n(a) = -7*b(a) - 4*i(a). Solve n(w) = 0.
0, 1
Let l = -191 + 193. Factor 1/3*j**l + 0 - 1/3*j**4 - 1/3*j**5 + 1/3*j**3 + 0*j.
-j**2*(j - 1)*(j + 1)**2/3
Let t(p) be the third derivative of p**8/1008 - p**7/315 + p**6/360 - 3*p**2. Factor t(z).
z**3*(z - 1)**2/3
Let f(w) be the first derivative of -2*w**7/21 + 11*w**6/30 - 9*w**5/20 + w**4/12 + w**3/6 - 3*w + 3. Let n(g) be the first derivative of f(g). Factor n(h).
-h*(h - 1)**3*(4*h + 1)
Let b(f) = -3*f**5 - f**4 - 9*f**3 - 3*f**2 + 7*f + 4. Let t(d) = -d**5 - 4*d**3 - 2*d**2 + 3*d + 2. Let q(s) = -4*b(s) + 10*t(s). Let q(o) = 0. Calculate o.
-2, -1, 1
Suppose 0*y + 0 + 0*y**2 - 1/2*y**4 + 1/2*y**3 = 0. Calculate y.
0, 1
Let g(i) be the third derivative of i**6/180 - 2*i**5/45 + i**4/36 + 2*i**3/3 + 33*i**2. Factor g(c).
2*(c - 3)*(c - 2)*(c + 1)/3
Suppose 0*o - o + 2 = 0. Factor v - v**2 + 0*v - 3*v - 1 + 0*v**o.
-(v + 1)**2
Solve 0 + 1/5*q**2 + 1/5*q**3 - 2/5*q**4 + 0*q = 0.
-1/2, 0, 1
Let j(y) be the second derivative of -y**5/10 + y**4/6 + 4*y**3/3 - 4*y**2 - 3*y - 2. Determine a so that j(a) = 0.
-2, 1, 2
Let u(l) be the first derivative of 8*l + 4 + 2/3*l**3 + 4*l**2. Factor u(w).
2*(w + 2)**2
What is j in 0 - 3/4*j**2 - 3/2*j = 0?
-2, 0
Suppose 3*t = -3*w - 21, w - 4*t + 2*t + 4 = 0. Let n(f) = -8*f**2 + 4 + 2*f - 5*f - f. Let u(k) = k**2 - 1. Let m(d) = w*u(d) - n(d). Factor m(b).
2*(b + 1)**2
Let k(b) be the first derivative of -7/6*b**4 + 9 + 4*b**2 + 8/3*b - 2*b**3. Suppose k(o) = 0. What is o?
-2, -2/7, 1
Suppose -2*t = t - 24. Let m = -5 + t. Suppose 1/2*j**4 - 5/2*j - 3/2*j**2 - 1 + 1/2*j**m = 0. Calculate j.
-1, 2
Let w(s) = 2*s**2 - 6*s + 2. Let r be w(4). Let m = r - 7. Determine k so that 8*k + 7*k**2 - m*k**2 + 4*k**2 + 2 = 0.
-1/2
Suppose 8*t - 4*t - 2*k - 18 = 0, -2*k = t + 8. Let y be 16/(-72) + 56/90. Factor 0*m**t + 0 + y*m - 2/5*m**3.
-2*m*(m - 1)*(m + 1)/5
Let s(h) be the second derivative of h**6/150 - 3*h**5/20 + 21*h**4/20 - 49*h**3/30 + 3*h. Factor s(m).
m*(m - 7)**2*(m - 1)/5
Let m = -1889/8 + 237. Let x(w) be the first derivative of w + 2 + 8/3*w**3 + m*w**4 + 11/4*w**2. Determine z, given that x(z) = 0.
-1, -2/7
Factor -5*o + 14 - 13*o - 6 + 18*o**3 - 6*o**2 + 2*o.
2*(o + 1)*(3*o - 2)**2
Suppose -q = 3*c - 9, -2*q = 4*c - 18 - 4. Let d be 1 + (-1)/(q/9). Determine v so that d*v**3 - 2/5*v - 2/5 + 2/5*v**2 = 0.
-1, 1
Let c = 547/4 + -136. Let h(p) be the second derivative of 3/2*p**2 + 3/2*p**3 + 3/20*p**5 + c*p**4 + p + 0. Suppose h(g) = 0. What is g?
-1
Suppose -f - 1/4*f**2 + 0 = 0. Calculate f.
-4, 0
Let j(u) be the second derivative of -u**5/100 + u**4/30 + 8*u. Factor j(q).
-q**2*(q - 2)/5
Let o(t) = -t**5 - t. Let a(r) = -2*r**5 - r**5 + 2*r - 2*r**4 + 4*r**3 - r**5. Suppose n = -3 + 4. Let p(i) = n*a(i) + 2*o(i). Factor p(b).
-2*b**3*(b + 1)*(3*b - 2)
Determine a, given that -2/3*a**4 + 0*a + 8/3*a**3 + 0 + 0*a**2 = 0.
0, 4
Let s(p) be the first derivative of -7*p**4/8 - 23*p**3/6 - 5*p**2 - 2*p - 3. Find o, given that s(o) = 0.
-2, -1, -2/7
Let a(h) be the second derivative of h**7/56 - 3*h**5/80 + h. Solve a(u) = 0 for u.
-1, 0, 1
Let o(z) be the second derivative of -z**8/336 + z**7/105 - 3*z**2/2 - 5*z. Let y(j) be the first derivative of o(j). Factor y(i).
-i**4*(i - 2)
Let h(i) = -i**3 - 8*i**2 - 2*i - 13. Let g be h(-8). Let n(f) be the first derivative of -4 - f**4 - 7/3*f**g + 0*f + f**2. Factor n(c).
-c*(c + 2)*(4*c - 1)
Let o = 1 + -3. Let j(i) = -i**3 - 3*i**2 - 3*i. Let b be j(o). Determine g, given that -1 + 5*g - 7*g**b - 9*g + 3*g**4 + 5 + 4*g**3 = 0.
-2, -1, 2/3, 1
Let p = 2/65 - -191/130. Let u(a) = 7*a - 8. Let t be u(2). Factor 9/2*s + p - t*s**2.
-3*(s - 1)*(4*s + 1)/2
Let z(i) be the first derivative of -i**4/4 + i**3 - 3*i**2/2 + i + 12. Factor z(m).
-(m - 1)**3
Let t(r) be the first derivative of 3*r**5/5 - 15*r**4/4 + 8*r**3 - 6*r**2 - 1. What is o in t(o) = 0?
0, 1, 2
Let o be -4 + 1 + (2 - -4). Let -2*z - o - 1/3*z**2 = 0. What is z?
-3
Let h(z) = z**2 - 6*z + 2. Let a be h(6). Factor a*m + 3*m - 3*m + m**2.
m*(m + 2)
Let f(s) be the third derivative of -2*s**7/315 - s**6/90 - 4*s**2. Determine i, given that f(i) = 0.
-1, 0
Let w(c) be the third derivative of 1/12*c**4 + 0*c - 1/3*c**3 - 1/60*c**6 + 4*c**2 + 0 + 1/30*c**5. What is j in w(j)