1, 0, 1
Let t be 2*2/(-8)*0. Solve t - 2/3*p**3 - 4/3*p - 2*p**2 = 0 for p.
-2, -1, 0
Let i(x) = -18*x - 122. Let o be i(-7). Determine w, given that -4/9*w**2 + 2/3*w - 2/9 - 2/9*w**5 - 4/9*w**3 + 2/3*w**o = 0.
-1, 1
Let k(l) be the second derivative of l**7/112 + l**6/40 - l**4/16 - l**3/16 - 4*l. Factor k(z).
3*z*(z - 1)*(z + 1)**3/8
Let r be 2/3*(-5)/(10/(-6)). Let a(w) be the third derivative of 0 + 1/360*w**6 + 0*w - 5/72*w**4 + 1/630*w**7 - 1/9*w**3 - 1/60*w**5 - w**r. Factor a(j).
(j - 2)*(j + 1)**3/3
Suppose -a - 16 = -3*b, -4*b + 34 - 2 = -4*a. What is l in 4/3*l + 14/3*l**2 - 6*l**3 + 0 - 44/3*l**b - 16/3*l**5 = 0?
-2, -1, -1/4, 0, 1/2
Let x(y) be the third derivative of y**6/480 + y**5/60 + 5*y**4/96 + y**3/12 - 8*y**2. Factor x(l).
(l + 1)**2*(l + 2)/4
Let p be 4/6 + (-7)/(-3). Factor 3 - 3 - 6*d**p + 2*d + 4*d**3.
-2*d*(d - 1)*(d + 1)
Let s(m) = m**4 + m**3 - m**2 + m. Let a(i) = 8*i**4 + 24*i**3 + 42*i**2 + 38*i. Let b(w) = a(w) - 6*s(w). Factor b(f).
2*f*(f + 1)*(f + 4)**2
Let p(b) be the first derivative of -b**4/26 + 14*b**3/39 - 15*b**2/13 + 18*b/13 + 11. Suppose p(x) = 0. What is x?
1, 3
Suppose -3*d - 2 = -o, -2*o = 5*d + o - 6. Let -1/3*f**3 + d + 2/3*f**2 - 1/3*f = 0. What is f?
0, 1
Let l(i) be the second derivative of -4*i**7/189 + i**5/30 - i**4/54 + 13*i. Factor l(a).
-2*a**2*(a + 1)*(2*a - 1)**2/9
Let z(l) = 15*l + 30. Let b(q) = -q**2. Let x(k) = 5*k**2 + 46*k + 89. Let g(j) = -4*b(j) - x(j). Let u(s) = -3*g(s) - 8*z(s). Factor u(f).
3*(f + 3)**2
Let o(u) be the first derivative of 0*u - 1/4*u**4 + 3 - 1/2*u**2 + 2/3*u**3. Let o(d) = 0. What is d?
0, 1
Suppose 0 = q + 2 + 2. Let g = 9 + q. Factor 2*b**3 + b**5 + b**2 - b**4 - 2*b**g - b**3.
-b**2*(b - 1)*(b + 1)**2
Factor 4/3*q**3 + 1/3*q**4 + q**2 - 4/3*q - 4/3.
(q - 1)*(q + 1)*(q + 2)**2/3
Let y(k) be the third derivative of 0 + 1/420*k**5 + 1/84*k**4 + 1/42*k**3 + 0*k - 5*k**2. Factor y(b).
(b + 1)**2/7
Let v be (22/55)/(1/50). Let q = v + -16. Find b, given that -4/5*b**5 - b**2 - 2/5*b + 0 + 12/5*b**3 - 1/5*b**q = 0.
-2, -1/4, 0, 1
Factor 8/3*r**3 + 31/9*r**2 - 2/3 + 1/9*r.
(r + 1)*(3*r + 2)*(8*r - 3)/9
Factor -9/2 - 1/2*l**2 - 3*l.
-(l + 3)**2/2
Let q = 89 + -263/3. Factor 1/3*s + 0 - q*s**2.
-s*(4*s - 1)/3
Let z(p) = -6*p - 2. Let c be z(-4). Suppose -2*m + c = 3*y, 4*m = 2*y + y + 8. Suppose 3*b**4 + b**2 + b**4 - m*b**4 = 0. What is b?
-1, 0, 1
Let i(l) be the second derivative of 0*l**2 + 0 + 0*l**5 - 1/105*l**6 + 0*l**4 + 0*l**3 - 4*l. Determine f so that i(f) = 0.
0
Suppose -4*z = 3*j + 20, -4*j + 0 = z + 5. Factor j*q**2 - 2/3*q**3 + 2/3*q + 0.
-2*q*(q - 1)*(q + 1)/3
Let f(o) = -2*o**2 + 2*o - 2*o**3 + 4*o**3 + 3*o**2 - 4*o**3 + 1. Let u be f(-2). Find l, given that 4*l**3 + 17*l + 4*l**2 + l**4 - u*l = 0.
-2, 0
Let g(f) = -f**4 - f**3 - f. Let m(w) = -w**5 - 4*w**4 - 3*w**3 - 2*w. Let u(j) = 6*g(j) - 3*m(j). What is x in u(x) = 0?
-1, 0
Let r be ((-25)/(-10))/(15/18). Let 12/11*z**r + 2/11*z**4 + 24/11*z + 8/11 + 26/11*z**2 = 0. What is z?
-2, -1
Let f = 359/22 - 174/11. Factor 1/2*g**3 + 0 + 0*g**2 - f*g.
g*(g - 1)*(g + 1)/2
Let f be 14/(-49) + (-164)/14. Let t be (-12)/30 + f/(-5). Factor -2*q**4 - q**4 + q**4 + t*q**2.
-2*q**2*(q - 1)*(q + 1)
Let o(q) be the first derivative of -q**7/210 + q**6/120 + q**5/60 - q**4/24 - 3*q**2/2 + 1. Let m(u) be the second derivative of o(u). Solve m(d) = 0 for d.
-1, 0, 1
Let t(q) = 0*q - 6*q - 3*q + q**3 - 10*q**2 - 2*q. Let o be t(11). Solve -1/4*a**4 + 0*a - 1/2*a**3 + o - 1/4*a**2 = 0 for a.
-1, 0
Let z(g) be the second derivative of -g**4/60 + g**3/15 + 3*g**2/10 + 3*g. Factor z(r).
-(r - 3)*(r + 1)/5
Factor -5*s - 11*s**3 + 10*s**3 + 2*s**2 + 4*s.
-s*(s - 1)**2
Let v(r) = -2*r - 7. Let u be v(-5). Suppose -12 = -4*t + 5*x, 2*t - 3*t = x - u. What is f in 2/7*f**t - 2/7*f - 2/7*f**2 + 2/7 = 0?
-1, 1
Factor 2/3*y - 1 + 1/3*y**2.
(y - 1)*(y + 3)/3
Let f = -362/3 + 122. Suppose 3 = 2*g - 1. Suppose -y**g - 1/3 + f*y = 0. What is y?
1/3, 1
Let d(u) = u**3 + 2*u**2 - u + 2. Let q(b) = 3*b**2 + b**2 + 5 - 3*b + 3*b**3 - 3*b**3 + 2*b**3. Let c(w) = -5*d(w) + 2*q(w). Factor c(f).
-f*(f + 1)**2
Let v(n) be the first derivative of 2/15*n**3 - 3 + 0*n**2 - 2/5*n. Find w, given that v(w) = 0.
-1, 1
Let s(r) be the first derivative of -2*r**6/33 + 2*r**5/55 + r**4/22 - 11. Factor s(w).
-2*w**3*(w - 1)*(2*w + 1)/11
Let t = 79 - 76. Let v(o) be the third derivative of 0 - 1/60*o**5 + 2*o**2 + 1/240*o**6 - 1/48*o**4 + 1/6*o**t + 0*o. Factor v(h).
(h - 2)*(h - 1)*(h + 1)/2
Let o(k) be the second derivative of k**7/2940 - k**6/630 + k**5/420 - k**3/6 - 3*k. Let b(x) be the second derivative of o(x). Factor b(y).
2*y*(y - 1)**2/7
Suppose -2*s = -6*s + 5*i + 16, -2*s + 5*i = -8. Determine t so that -19*t**2 - 1/2*t**5 - 25/2*t**3 - s*t**4 - 4 - 14*t = 0.
-2, -1
Let c(w) be the second derivative of 0 - 1/6*w**4 + 2*w + 1/10*w**5 + 0*w**3 + w**2. Let a(t) = t**2 - t - 1. Let d(b) = 2*a(b) + c(b). Factor d(h).
2*h*(h - 1)*(h + 1)
Let z(o) be the third derivative of o**7/168 - o**6/24 + o**5/12 + 24*o**2. Factor z(s).
5*s**2*(s - 2)**2/4
Let j(v) be the second derivative of -4*v + 0*v**4 + 1/360*v**6 + 0*v**2 - 2/3*v**3 + 1/60*v**5 + 0. Let k(p) be the second derivative of j(p). Factor k(b).
b*(b + 2)
Solve 4/7*a**4 - 2/7*a**5 + 0 - 2/7*a**3 + 0*a + 0*a**2 = 0.
0, 1
Let g(h) = h**3 - 7*h**2 - 7*h - 6. Let m be g(8). Factor 7*d - 4 + m*d + d + 2*d**3 - 8*d**2.
2*(d - 2)*(d - 1)**2
Let n(j) be the first derivative of -j**4 - j**2 - 1/5*j**5 + 0*j + 3 - 5/3*j**3. Determine b, given that n(b) = 0.
-2, -1, 0
Suppose 3*v + 0*v = 15. Suppose v*p = 2*p. Factor p*r**2 + 0*r - 7/4*r**4 + 0 - 1/2*r**3.
-r**3*(7*r + 2)/4
Let j(i) be the third derivative of 4*i**2 - 1/3*i**3 + 0*i + 0*i**4 + 0 + 1/30*i**5. Factor j(n).
2*(n - 1)*(n + 1)
Let j be 3*(620/(-105) + 6). Factor -2/7*c**2 + 4/7 - j*c.
-2*(c - 1)*(c + 2)/7
Let h(d) be the second derivative of -d**7/21 - 8*d**6/15 - 11*d**5/5 - 14*d**4/3 - 17*d**3/3 - 4*d**2 + 32*d. Factor h(l).
-2*(l + 1)**4*(l + 4)
Solve -4 + 13*f - 4*f**4 + 3*f + 11*f**3 + 4*f**4 - 21*f**2 - 2*f**4 = 0.
1/2, 1, 2
Let f be 6/4 - 29/(-4). Let k = f + -17/2. Factor -k*c + 1/4*c**3 - 1/4*c**2 + 0 + 1/4*c**4.
c*(c - 1)*(c + 1)**2/4
Let y be 1/((148 - -2)*1). Let s(f) be the third derivative of 0*f - y*f**5 - 2/15*f**3 + 2*f**2 + 0 + 1/20*f**4. Factor s(i).
-2*(i - 2)*(i - 1)/5
Let r(b) be the third derivative of -b**6/540 - b**5/54 - 2*b**4/27 - 4*b**3/27 + 5*b**2. Suppose r(q) = 0. What is q?
-2, -1
Let k(q) be the third derivative of -q**8/840 - 2*q**7/525 + q**5/75 + q**4/60 + 20*q**2. Factor k(s).
-2*s*(s - 1)*(s + 1)**3/5
Let r(x) = x**5 - x**4 + x**3 + x**2. Let c = -2 - -3. Let p(b) = 2*b**5 + 14*b**4 - 20*b**3 - 2*b**2. Let l(q) = c*p(q) + 6*r(q). Factor l(k).
2*k**2*(k + 2)*(2*k - 1)**2
Suppose 3*k - 175 = -q, 0 = 7*k - 3*k - 2*q - 230. Let -64*y - 160*y**3 - k*y**4 - 118*y**3 - 132*y**4 - 194*y**2 - 50*y**5 - 8 = 0. What is y?
-1, -2/5
What is c in 10*c**4 + 92*c**3 + 858/5*c**2 - 184*c + 40 = 0?
-5, 2/5
Let n be (1*72/14)/(1 + 1). Factor 8/7*c**5 + 0 - 2/7*c**2 - 2/7*c + n*c**3 - 22/7*c**4.
2*c*(c - 1)**3*(4*c + 1)/7
Let z = 64 - 62. Suppose 0 = 4*w + 2*h - 4, 6*w - 2*h = 4*w + 14. Solve 0*r + 1/5*r**4 + 1/5 + 0*r**w - 2/5*r**z = 0 for r.
-1, 1
Let a = 4 + -1. What is m in 2*m**5 + 4*m**2 - m**4 - 2*m**a + 0*m**2 - 3*m**2 = 0?
-1, 0, 1/2, 1
Suppose x = -5*k + k + 13, 2*k - 11 = -5*x. Let m**3 - m - 4*m + 1 + 3*m + m**k - m**4 = 0. Calculate m.
-1, 1
Let c = 134/21 + 2/7. Determine l, given that 0 - 4/3*l - c*l**4 + 20/3*l**2 + 25/3*l**5 - 7*l**3 = 0.
-1, 0, 2/5, 1
Let a be ((-2)/(30*-1))/((-1)/(-6)). Suppose 2/5 + 6/5*q**2 - a*q**3 - 6/5*q = 0. What is q?
1
Factor 42 - 3*y - 42 + 0*y - 3*y**2.
-3*y*(y + 1)
Let p = 104 - 98. Let w(l) be the third derivative of -1/20*l**5 + 4*l**2 + 0 + 0*l**3 + 1/40*l**p - 1/4*l**4 + 0*l. Suppose w(r) = 0. What is r?
-1, 0, 2
Suppose -2*o = d + 2*o - 6, 0 = d + 3*o - 5. Let i(s) be the third derivative of 1/270*s**5 + 0 - 1/108*s**4 - 2/27*s**3 - 2*s**d + 0*s. Factor i(b).
2*(b - 2)*(b + 1)/9
Suppose 7*q = 6*q + 3. Suppose -1/3 - 1/3*o**q + 1/3*o**2 + 1/3*o = 0. Calculate o.
-1, 1
Let i(z) be the first derivative of 1 + 0*z + 0*z**2 + 1/3*z**3 + 3/4*z**4. Determine m so that