v**4/3 + 10*v**2. Let s(c) be the second derivative of z(c). Factor s(m).
-3*(m - 2)*(m + 1)*(m + 2)
Suppose p - 2*p = 5*s - 12, -4*s + 5*p = -27. Suppose i - s = 2. Determine q, given that 28*q**4 - 17*q - q**i - 72*q**3 - 15*q - 3*q**5 + 80*q**2 = 0.
0, 1, 2
Let m = 41708/315 - 662/5. Let i(v) be the third derivative of -1/9*v**3 + 1/30*v**5 + 0*v + m*v**7 - 1/36*v**6 - 3*v**2 + 1/36*v**4 + 0. Factor i(a).
2*(a - 1)**3*(2*a + 1)/3
Let g be (-8 - -7)/(2/12). Let y = -3 - g. Suppose d**y - 1/4*d**4 + 0*d - d**5 + 1/4*d**2 + 0 = 0. What is d?
-1, -1/4, 0, 1
Find w, given that -882/13 - 84/13*w - 2/13*w**2 = 0.
-21
Let n = -47012 + 47012. Suppose -2/7*z**2 + n*z + 2/7 = 0. Calculate z.
-1, 1
Let c = 3/109 + 639/545. Suppose 105*h = 102*h + 9. Suppose -3/5*a**4 - 3/5*a**2 - c*a**h + 0*a + 0 = 0. What is a?
-1, 0
Let g(w) be the first derivative of -w**6/8 - 3*w**5/4 + 10*w**3 + 30*w**2 + 36*w + 132. Factor g(y).
-3*(y - 3)*(y + 2)**4/4
Let k(a) be the second derivative of a**5/70 - 17*a**4/21 + 65*a**3/21 - 32*a**2/7 - 205*a. Suppose k(d) = 0. Calculate d.
1, 32
Let y(t) be the first derivative of 0*t**3 + 8 - t + 1/14*t**7 + 0*t**2 + 1/10*t**6 + 0*t**5 + 0*t**4. Let o(g) be the first derivative of y(g). Factor o(v).
3*v**4*(v + 1)
Let r(f) = -5*f**3 + 62*f**2 - 243*f + 198. Let k(x) = x**2 + x - 6. Let t(q) = 3*k(q) + r(q). Factor t(b).
-5*(b - 6)**2*(b - 1)
Let b be ((-32)/704 - 86/44)*(1 - 3). Let -1/11*l**b - 2/11*l**2 + 0 + 0*l + 3/11*l**3 = 0. Calculate l.
0, 1, 2
Solve -4 - 8 + 8*l + 4*l**2 - 6*l**2 + 6*l**2 = 0.
-3, 1
Determine n, given that 3/2*n**2 - 93*n + 2883/2 = 0.
31
Suppose 6*j - 14 = -5*p + 5*j, -2*p - 4*j + 20 = 0. Let -15*l + 11*l**p + 4*l**2 - 3*l**2 - 18 = 0. Calculate l.
-3/4, 2
Let n = -58 + 70. Let p be 2/7*28/n. Solve p*u**2 + 0 + 4/3*u = 0.
-2, 0
What is i in 19/2*i + 5/2*i**3 + 17/2*i**2 + 7/2 = 0?
-7/5, -1
Suppose 0*g = g - 2*g. Solve 4*u - 13*u - 3*u + g*u**2 - 36 - u**2 = 0.
-6
Suppose -3*k = -2 - 28. Suppose -2*m + k + 2 = -2*a, -m - 4*a - 14 = 0. Factor 0*o - 3/2*o**3 + 0 - 3/2*o**4 + 3*o**m.
-3*o**2*(o - 1)*(o + 2)/2
Suppose 24/7*h - 2/7*h**3 + 32/7 + 0*h**2 = 0. Calculate h.
-2, 4
Let r(s) be the first derivative of 2*s**6 - 321*s**5/5 + 1935*s**4/4 + 952*s**3 + 294*s**2 - 250. Suppose r(q) = 0. Calculate q.
-1, -1/4, 0, 14
Let w be (11/(-165))/(7/21) + 23/15. Factor -w*d**3 + 1/3*d**2 - 5/3*d**4 + 0*d + 0.
-d**2*(d + 1)*(5*d - 1)/3
Let r(d) be the second derivative of -1/840*d**6 + 1/42*d**4 + 0 - 1/2*d**3 - 1/210*d**5 + 3*d + 0*d**2. Let l(b) be the second derivative of r(b). Factor l(g).
-(g + 2)*(3*g - 2)/7
Let v(n) be the third derivative of -11*n**2 + 0 + 1/70*n**7 + 0*n + 3*n**5 - 14*n**4 - 13/40*n**6 + 32*n**3. Determine q, given that v(q) = 0.
1, 4
Suppose 101*b + 2 = s + 99*b, 1 = s - b. Let n(r) be the third derivative of -3*r**2 + s*r**4 - 1/30*r**5 + 0 + 0*r + 1/3*r**3. Suppose n(q) = 0. Calculate q.
-1, 1
Let b = 4689490/341943 - -2/48849. Factor -4/7*f**4 - b*f**2 - 40/7*f**3 + 128/7*f + 512/7.
-4*(f - 2)*(f + 4)**3/7
Let l(y) = y**2 - y - 4. Let o be l(3). Find k such that -32*k**2 + 0*k**4 - 2*k + 26*k**2 - o*k**4 - 6*k**3 = 0.
-1, 0
Suppose 20 = 104*p - 100*p. Let q(b) be the first derivative of -5*b**2 - 8/5*b**5 + 2*b**4 + 1/3*b**6 + 4/3*b**3 + 4*b - p. Factor q(c).
2*(c - 2)*(c - 1)**3*(c + 1)
Let v(d) be the third derivative of d**7/350 - 31*d**6/600 + 61*d**5/300 + 67*d**4/120 - 14*d**3/15 - 5*d**2 + 11*d. Determine u, given that v(u) = 0.
-1, 1/3, 4, 7
Let y be (-6)/243*3/(-2). Let i(g) be the first derivative of 1 + y*g**6 - 4/27*g**3 + 0*g + 4/45*g**5 - 1/9*g**2 + 0*g**4. Factor i(w).
2*w*(w - 1)*(w + 1)**3/9
Let j be (-7)/(-21) - (-8 - 25/(-3)). Factor 0*z + j*z**3 - 2/9 + 4/9*z**2 - 2/9*z**4.
-2*(z - 1)**2*(z + 1)**2/9
Let u = -174 + 147. Let h be 2/(-5) - (u - -23). Factor 54/5*b + 2/5*b**3 - h*b**2 - 54/5.
2*(b - 3)**3/5
Let x(k) = -15*k**4 - 70*k**3 - 55*k**2 + 65*k + 65. Let o(s) = 8*s**4 + 35*s**3 + 28*s**2 - 32*s - 33. Let l(r) = -5*o(r) - 3*x(r). Factor l(q).
5*(q - 1)*(q + 1)**2*(q + 6)
Let z(t) be the first derivative of -1/8*t**4 + 19 + 0*t + 0*t**2 + t**3. Factor z(s).
-s**2*(s - 6)/2
Let o be (-1036)/(-35) + (-2)/(-5). Determine p, given that -o*p**4 - 2*p**2 + 14*p**3 + 68*p**5 - 120*p**5 + 70*p**5 = 0.
0, 1/3, 1
Let i(u) be the third derivative of -1/390*u**5 + 0 - u**2 - 2/39*u**3 + 0*u - 1/52*u**4. Factor i(w).
-2*(w + 1)*(w + 2)/13
Factor -9/5*q + 6 - 3/5*q**2.
-3*(q - 2)*(q + 5)/5
Factor -6*c**2 - 25*c**2 - 21*c**3 + 15*c**4 + 22*c**2 + 21*c - 6.
3*(c - 1)**2*(c + 1)*(5*c - 2)
Let w(f) be the first derivative of 5*f**6/6 - 4*f**5 + 5*f**4/4 + 70*f**3/3 - 50*f**2 + 40*f + 69. Find i such that w(i) = 0.
-2, 1, 2
Let t be (-2 + 2)/(2 - 1). Let c = -4997/3 + 1666. Factor c*v**3 + t*v + 2/3*v**2 + 0.
v**2*(v + 2)/3
Factor -2263*k - 3136 - 128*k**3 - 479*k**2 + 31*k**4 - 769*k**2 - 1321*k - 35*k**4.
-4*(k + 2)**2*(k + 14)**2
Let t(c) be the first derivative of c**4/20 + 2*c**3/15 - c**2/10 - 2*c/5 + 216. Factor t(s).
(s - 1)*(s + 1)*(s + 2)/5
Let c(r) be the second derivative of r**8/8960 + r**7/2520 - r**6/2880 - r**5/240 + 3*r**4/4 + 4*r. Let u(j) be the third derivative of c(j). Factor u(y).
(y + 1)**2*(3*y - 2)/4
Suppose -143*f = -168*f - 1 + 1. Let a = 1 - 1. Let 1/2*q**2 + a - 1/4*q + f*q**3 - 1/2*q**4 + 1/4*q**5 = 0. What is q?
-1, 0, 1
Let n(b) be the third derivative of b**6/120 - b**5/20 + b**4/12 + 3*b**2 - 9. Factor n(o).
o*(o - 2)*(o - 1)
Let q = -1177 + 8259/7. Find x such that 16/7 + q*x**2 - 32/7*x - 4/7*x**3 = 0.
1, 2
Suppose 10 - 4 = 3*n. Solve 2*i**3 + 5*i**2 - 4*i**2 + 2*i**2 - 4*i**2 + i**4 - n*i = 0.
-2, -1, 0, 1
Solve -2/9*z**2 - 292/9 - 98/3*z = 0.
-146, -1
Let n(l) = l**2 - 6*l - 6. Let h be n(7). Factor 3 + 20*b + 6*b**3 + h + 13*b**2 - 8*b + b**4.
(b + 1)**2*(b + 2)**2
Let l be ((-242)/(-41))/2 + 31 + -34. Let o = l - -45/82. Factor 0 + 0*s - 1/2*s**5 - 1/2*s**2 + 1/2*s**3 + o*s**4.
-s**2*(s - 1)**2*(s + 1)/2
Let 8/3*z + 8/3*z**3 + 0 - 12*z**4 - 16/3*z**5 + 12*z**2 = 0. What is z?
-2, -1, -1/4, 0, 1
Let q(m) be the third derivative of m**5/90 - m**4/9 - 5*m**3/9 + 78*m**2 - 1. Suppose q(z) = 0. Calculate z.
-1, 5
Let s(j) be the third derivative of -j**5/330 + 19*j**4/132 + 20*j**3/33 - 31*j**2. What is y in s(y) = 0?
-1, 20
Let p(n) be the second derivative of -4/5*n**5 - 8/3*n**3 + 2*n**2 + 2*n**4 + 0 + 2/15*n**6 - 18*n. Factor p(y).
4*(y - 1)**4
Let g(y) be the second derivative of -y**5/3 - 2*y**4 - 8*y**3/3 - 2*y**2 + 15*y. Let h(z) be the first derivative of g(z). Factor h(q).
-4*(q + 2)*(5*q + 2)
Let v be 1 + (2*-10)/(-5). Determine a, given that 256*a**3 + 5*a**4 - 5*a**2 + 0*a**v + 5*a**5 - 261*a**3 = 0.
-1, 0, 1
Find x such that -65/7*x**3 + 8*x + 20/7 - 33/7*x**4 + 13/7*x**2 + 9/7*x**5 = 0.
-1, -2/3, 1, 5
Let a(s) be the first derivative of -s**6/36 + 4*s**5/15 - s**4/6 - 13*s**3/9 + 37*s**2/12 - 7*s/3 - 17. Determine b, given that a(b) = 0.
-2, 1, 7
Let w(x) = x**3 - 6*x**2 + 7*x - 7. Let j be w(5). Let f(m) be the second derivative of 0 + j*m**2 + 11/2*m**4 - 3*m - 13/2*m**3 - 6/5*m**5. Factor f(o).
-3*(o - 2)*(2*o - 1)*(4*o - 1)
Let n(r) = -4*r**4 - 65*r**3 - 52*r**2 + 155*r - 59. Let y(k) = -k**4 + k**3 + k - 1. Let h(u) = -2*n(u) - 10*y(u). Factor h(b).
2*(b + 4)**2*(3*b - 2)**2
Let s = -80 - -80. Suppose 3*v + 5*m = -0*m, 5*v + 5*m - 10 = s. Determine n so that 45*n**4 - 75*n**3 + 60*n**2 - 45/2*n - 21/2*n**v + 3 = 0.
2/7, 1
Suppose 2*p - 3*v - 7 = 0, 5*p + 3 = -v + 12. Let w be (-212)/(-6) + (-2)/(-3). Solve w*h**2 - 4 + h - 2*h**3 - 56*h**4 + h + 24*h**p = 0 for h.
-1, -2/7, 1/4, 1
Let 4 - 4/9*f**2 + 10/9*f = 0. What is f?
-2, 9/2
Let g(m) = -m + 2. Let a be g(-2). Let c(i) = -i**2 + 1. Let b(q) = 3 - 3 + q**2 - 4 + 0*q**2. Let d(y) = a*c(y) + b(y). Factor d(u).
-3*u**2
Let l(k) be the first derivative of k**4/4 - 5*k**3/3 - k**2 - 18*k + 14. Let n be l(6). Suppose -n*r**3 + 4/3 + 6*r + 4/3*r**2 - 8/3*r**4 = 0. What is r?
-2, -1, -1/4, 1
Find y, given that 766/5*y**2 + 448/5*y + 462/5*y**3 + 88/5 + 36/5*y**4 = 0.
-11, -2/3, -1/2
Let m(l) = l**2 + 4*l + 5. Let b be m(-4). Suppose -p + b*p = 0. Let 6*o**3 + 0*o - 7*o**3 + 2*o + o**2 + p*o**2 = 0. Calculate o.
-1, 0, 2
Let t(k) be the first derivative of -5*k**4/14 + 46*k**3/2