 t(v) = 0.
-1, 1
Let v be 5 + 36*27/(-252). Factor -v + 2*y**2 + 24/7*y.
2*(y + 2)*(7*y - 2)/7
Suppose 6*m - 2*m - 8 = 0. Suppose 25 = 7*o - m*o. Factor 7/4*g**o + 27/4*g**3 - 13/4*g**2 + 1/2*g - 23/4*g**4 + 0.
g*(g - 1)**3*(7*g - 2)/4
Let g(x) be the second derivative of 3*x**5/80 - x**4/24 - x**3/24 + 2*x + 11. Suppose g(s) = 0. What is s?
-1/3, 0, 1
Let k(u) be the third derivative of u**5/12 + 5*u**4/4 + 15*u**3/2 - 24*u**2. Find f, given that k(f) = 0.
-3
Factor -3*l**2 + 0*l**2 - 2*l**2 - l**3 + 3*l**2.
-l**2*(l + 2)
Let g(b) be the second derivative of 0 + 1/3*b**3 - 1/4*b**4 + 0*b**2 + b - 3/5*b**5 - 7/30*b**6. What is i in g(i) = 0?
-1, 0, 2/7
Factor 0*x**2 + 1/7*x**4 + 0 + 0*x - 6/7*x**3.
x**3*(x - 6)/7
Let s(r) be the third derivative of -1/30*r**5 + 0 + r**2 + 0*r - 2/3*r**3 - 1/4*r**4. Let s(i) = 0. What is i?
-2, -1
Let x be (-9)/(-2)*8/12. Suppose -9 = 3*s + 5*w, -5*s - x*w = -0*w - 1. Factor 6/13*a + 2/13*a**3 - 2/13 - 6/13*a**s.
2*(a - 1)**3/13
Suppose d = 3*x + 11, 21*d = 20*d + 4*x + 14. Find r, given that -4/3 + 2/3*r**d + 2/3*r = 0.
-2, 1
Let m(v) be the third derivative of -v**6/660 - v**5/165 + v**4/44 + 8*v**2. Factor m(a).
-2*a*(a - 1)*(a + 3)/11
Suppose -5*o + 2*s = -6, -2 = -5*o + 4*s - 0*s. Let h(q) be the first derivative of 0*q - 1/2*q**3 - 3 - 3/10*q**5 - 3/4*q**4 + 0*q**o. Factor h(b).
-3*b**2*(b + 1)**2/2
Let d be 2*1 + -1 + 1. Find l such that 3 - l**4 - 5 - 2 - 4*l + 2*l**3 + 2*l**d + l**2 = 0.
-1, 2
Let r = -66 + 69. Let z(t) be the second derivative of -1/4*t**4 + 0*t**2 - 1/30*t**6 + 1/6*t**r + 0 - 3*t + 3/20*t**5. What is j in z(j) = 0?
0, 1
Let t be -6 + 3 + 1 + 8. Let s(g) = -3*g**2 - 9*g + 12. Let v(r) = -5*r**2 - 18*r + 23. Let m(x) = t*v(x) - 11*s(x). Suppose m(y) = 0. What is y?
1, 2
Let x(t) = -t**2 - 11*t + 2. Let m be x(-11). Factor 56/3*q + 2/3*q**5 + 76/3*q**m + 16/3 + 50/3*q**3 + 16/3*q**4.
2*(q + 1)**2*(q + 2)**3/3
Let v(w) be the third derivative of -w**5/150 - w**4/15 + w**3/3 + 15*w**2. Factor v(g).
-2*(g - 1)*(g + 5)/5
Let k(f) be the third derivative of 0*f + 0*f**4 + 7*f**2 + 1/60*f**6 + 0*f**5 + 1/672*f**8 + 0*f**3 + 0 - 1/105*f**7. Find r, given that k(r) = 0.
0, 2
Solve -1/2*b - b**2 + 0 + 3/2*b**3 = 0 for b.
-1/3, 0, 1
Let u(f) be the second derivative of -5/28*f**4 + 11/42*f**3 + 5*f - 34/35*f**5 + 0 + 1/7*f**2 - 8/15*f**6. What is p in u(p) = 0?
-1, -1/4, 2/7
Let g(b) be the third derivative of b**7/840 - b**6/120 + b**5/40 - b**4/24 - b**3/3 - b**2. Let o(c) be the first derivative of g(c). Factor o(x).
(x - 1)**3
Factor -3/5*k**3 + 1/5*k**2 + 2/5*k + 1/5*k**5 - 1/5*k**4 + 0.
k*(k - 2)*(k - 1)*(k + 1)**2/5
Suppose -3*q - 6 + 4 = -4*i, -3*i - 2*q + 10 = 0. Suppose 3*a**3 - 3*a - 9*a**2 - i*a**4 - 12*a**3 - a**4 = 0. Calculate a.
-1, 0
Suppose 10*j**3 + 19*j**2 - 74 + 6*j + 74 = 0. What is j?
-3/2, -2/5, 0
Let v = 382/5 - 76. Let p(u) be the second derivative of 2/5*u**3 + 0 + v*u**4 + 2*u + 1/5*u**2 + 4/25*u**5. What is w in p(w) = 0?
-1/2
Suppose 3*p - 2*h - 17 = 0, -h - 28 = -5*p + 12. Solve -d + p*d**2 + 0*d + 4*d = 0 for d.
-1/3, 0
Let c(b) be the third derivative of 16*b**5/15 + 4*b**4/3 + 2*b**3/3 - 9*b**2. Factor c(v).
4*(4*v + 1)**2
Let z(u) be the second derivative of -u**9/1008 - u**8/280 + u**7/280 + u**6/60 - 2*u**3/3 - u. Let p(l) be the second derivative of z(l). Solve p(o) = 0 for o.
-2, -1, 0, 1
Let y(t) be the first derivative of 0*t**3 - 3/5*t**5 + 3*t - 1 - 3*t**2 + 3/2*t**4. Factor y(f).
-3*(f - 1)**3*(f + 1)
Let j(s) be the third derivative of s**8/420 + 16*s**7/525 + 11*s**6/75 + 28*s**5/75 + 17*s**4/30 + 8*s**3/15 - 38*s**2. Factor j(i).
4*(i + 1)**4*(i + 4)/5
Let i(h) be the first derivative of 5*h**6/12 - 11*h**5/10 + 7*h**4/8 - h**3/6 + 30. Factor i(n).
n**2*(n - 1)**2*(5*n - 1)/2
Let g be 5/5 + -3 - -2. Let i(b) be the third derivative of -1/45*b**6 - 1/30*b**5 + 0*b**3 + 1/36*b**4 + g + b**2 + 0*b. Factor i(l).
-2*l*(l + 1)*(4*l - 1)/3
Let n be -1*11 + -2 + 3. Let u be (-3*n/6)/1. Factor 4*x**u - x**3 - x**3 + 0*x**5 + 7*x**4 + 0*x**5.
x**3*(x + 2)*(4*x - 1)
Solve 18/17*x**3 - 10/17*x**2 - 18/17*x - 4/17 + 14/17*x**4 = 0.
-1, -2/7, 1
Factor 26*l - 18*l**2 + 3*l**3 - 28 + 10*l + 4.
3*(l - 2)**3
Let a(h) be the second derivative of -1/135*h**6 + 1/90*h**5 + 4*h + 0*h**3 + 0 - 1/189*h**7 + 0*h**2 + 1/54*h**4. Factor a(c).
-2*c**2*(c - 1)*(c + 1)**2/9
Factor -9/4*l + 3/4*l**5 + 9/4*l**4 - 3/4 + 3/2*l**3 - 3/2*l**2.
3*(l - 1)*(l + 1)**4/4
Factor 2/7*n**3 + 0*n**4 + 0 - 2/7*n**5 + 0*n + 0*n**2.
-2*n**3*(n - 1)*(n + 1)/7
Factor 0*t**2 - 3*t**4 + 4/3*t**5 + 0*t + 0 + 2/3*t**3.
t**3*(t - 2)*(4*t - 1)/3
Let h(y) = y - y - y - 5. Let g be h(-7). What is k in -k**5 + 3*k**2 - k**4 - k**3 - 2*k**g + 2*k**3 = 0?
-1, 0, 1
Let v(s) = s**3 + 6*s**2 + 6*s + 4. Let d be v(-5). Let b(w) = -4*w**2 + 5*w. Let f(h) = 0*h**2 - h + h**2 + 0*h. Let z(p) = d*b(p) - 5*f(p). Factor z(l).
-l**2
Let a(s) = s**3 + s**2. Let n(d) = 8*d**3 + d**2 - 7*d. Let t(z) = -21*a(z) + 3*n(z). Solve t(c) = 0.
-1, 0, 7
Let w be (-12 - -8) + (-28)/(-6). Factor -w + 1/3*t**2 - 1/3*t.
(t - 2)*(t + 1)/3
Factor 1/3*m**2 + 1/3*m**5 + 0 - 1/3*m**3 - 1/3*m**4 + 0*m.
m**2*(m - 1)**2*(m + 1)/3
Suppose 0 = -d + 1. Suppose 1 + d = l. Factor -h**2 - l*h**3 + 0*h + h**3 + h**4 + h**5 + 0*h.
h**2*(h - 1)*(h + 1)**2
Let y be 0/(2/(2 + -1)). Solve -2*h + 9*h**2 - 2*h**2 + 4*h**5 - 3*h**3 + y*h**2 - 8*h**4 = 0.
-1, 0, 1/2, 2
Let n = 2/135 + 41/270. Let q(d) be the third derivative of 1/4*d**4 + 2/3*d**3 + 0 + 2*d**2 - n*d**5 + 0*d. Factor q(p).
-2*(p - 1)*(5*p + 2)
Let a = 61/40 + -9/8. Factor a*l + 0 + 3/5*l**3 + l**2.
l*(l + 1)*(3*l + 2)/5
Let j be (2 - -48) + 1 + 1. Suppose -4*c = 4*p - j, -3*c - 21 + 70 = p. Factor -5*k + k - 13*k**3 - 7*k**3 + c*k**2.
-2*k*(2*k - 1)*(5*k - 2)
Let p(s) be the third derivative of 0*s - 1/180*s**5 + 0 + 0*s**3 - 1/360*s**6 + 2*s**2 + 0*s**4. Determine d, given that p(d) = 0.
-1, 0
Factor 3/2 + 9/4*i + 3/4*i**2.
3*(i + 1)*(i + 2)/4
Let i(r) = -6*r**3 - 16*r**2 - 2*r. Let m = 1 + -3. Let t(w) = 12*w**3 + 33*w**2 + 3*w. Let h(b) = m*t(b) - 5*i(b). Determine s, given that h(s) = 0.
-2, -1/3, 0
Let r(u) = u**2 - 7*u - 12. Let k be r(9). Find s such that 2*s + 8 + 4*s**2 - k*s - 8*s + 0*s = 0.
1, 2
Let y(t) be the second derivative of -7*t**6/75 + t**5/10 + t**4/15 - 4*t. Factor y(q).
-2*q**2*(q - 1)*(7*q + 2)/5
Suppose -423 + 4*v + 429 + 4*v + v**2 + v**2 = 0. Calculate v.
-3, -1
Determine c, given that -4/5*c - 8/5*c**3 + 2/5*c**4 + 2*c**2 + 0 = 0.
0, 1, 2
Let q(p) be the first derivative of p**3/21 + p**2/7 + p/7 + 3. Suppose q(t) = 0. Calculate t.
-1
Let x be 2/(-7) - (-86)/7. Suppose -3*c + 3*n = x, -3*c - n = n - 13. Find p such that 2*p**2 - c - 2*p**2 + p**2 = 0.
-1, 1
Let g(p) = p**2 + 10*p + 3. Let o be g(-10). Let y(t) be the first derivative of -1/2*t**2 + 1 + 0*t + 1/3*t**o. Factor y(l).
l*(l - 1)
Factor 3/4*q + 3/4*q**2 - 3/4*q**3 - 3/4.
-3*(q - 1)**2*(q + 1)/4
Let u(z) be the first derivative of -z**6/9 + 8*z**5/9 - 13*z**4/6 + 4*z**3/9 + 44*z**2/9 - 16*z/3 - 20. Find l such that u(l) = 0.
-1, 2/3, 2, 3
Suppose -5 + 135*x**3 - 10*x**4 + 133*x**3 - 273*x**3 + 5*x + 15*x**2 = 0. Calculate x.
-1, 1/2, 1
Let x(k) be the third derivative of k**5/150 - 11*k**2. Determine w so that x(w) = 0.
0
Let m(b) be the first derivative of b**4/2 + 16*b**3/9 + 4*b**2/3 + 5. Find x, given that m(x) = 0.
-2, -2/3, 0
Let p(c) be the third derivative of 0*c**3 + 11/120*c**5 + 1/24*c**4 + 0*c + c**2 + 0 + 1/15*c**6 + 1/60*c**7. Determine r, given that p(r) = 0.
-1, -2/7, 0
Let y(b) be the second derivative of 3*b**5/100 - 3*b**4/20 + 6*b**2/5 + 17*b. Factor y(o).
3*(o - 2)**2*(o + 1)/5
Suppose g - 5 = 6*l - l, -4*g - l + 20 = 0. Let c be (-7 - -7)/(-1*2). Suppose 4/11*w**4 + 0*w - 2/11*w**3 + c*w**2 + 0 - 2/11*w**g = 0. What is w?
0, 1
Let p(s) = s**2 - 4*s + 3*s - 4 - 2*s + 0*s. Let n be p(5). Factor 3*g + 3 + 6*g**5 - 3*g**5 - g**3 - n*g**2 - 5*g**3 + 3*g**4.
3*(g - 1)**2*(g + 1)**3
Suppose -w - 71 = -5*q, -25 = -2*q + 4*w - 7*w. Let n be (q/3)/((-2)/(-12)). Find m such that 8*m**2 + n*m**3 + 0 - 16/7*m - 98*m**4 = 0.
-2/7, 0, 2/7
Let v = 514 - 512. Factor 1/3 + 25/3*k**v - 10/3*k.
(5*k - 1)**2/3
Factor 0 - 2/17*v**2 + 2/17*v**3 + 0*v.
2*v**2*(v - 1)/17
Let h(f) be the second derivative 