 + t*s**4 + 3 + 0*s. Factor p(q).
-2*q*(q - 1)**2*(q + 1)
Factor 6*f**2 - 9/2*f - 3/2*f**3 + 0.
-3*f*(f - 3)*(f - 1)/2
Let h(k) be the third derivative of 0*k + 7*k**2 + 0 - 1/20*k**5 + 1/8*k**4 + k**3. Let h(m) = 0. Calculate m.
-1, 2
Let x(u) be the second derivative of u**5/30 - u**4/3 + 11*u**3/9 - 2*u**2 + 34*u. Factor x(m).
2*(m - 3)*(m - 2)*(m - 1)/3
Let q be ((-78)/(-15))/(7/5). Let p be 16/20*15/42. Find j, given that -p*j**4 + 24/7*j + 12/7*j**3 - 8/7 - q*j**2 = 0.
1, 2
Let v(k) be the second derivative of k**7/168 + k**6/45 + k**5/120 - k**4/12 + k**3/6 - 3*k. Let j(n) be the second derivative of v(n). Let j(p) = 0. What is p?
-1, 2/5
Let k(u) be the third derivative of -u**5/5 + 13*u**4/36 - 2*u**3/9 + 2*u**2. Determine v so that k(v) = 0.
2/9, 1/2
Let v(z) = 2*z + 31. Let x be v(-14). Determine o, given that 0*o**4 + 0 + 0*o**2 - 1/2*o**5 - 1/2*o + o**x = 0.
-1, 0, 1
Suppose -2*q + 3 = -3. Factor -x**3 + 3*x**2 - q*x**2.
-x**3
Let i(m) = -3*m - 19. Let k be i(-8). Solve 8*v**2 - 4*v**k + 9 - 16*v**4 - 16*v**3 + 2 + 20*v - 3 = 0 for v.
-2, -1, 1
Let u be (-7 + 2)*42/35. Let q = -4 - u. Factor 0 - 8/3*f**q + 2*f**3 + 2/3*f.
2*f*(f - 1)*(3*f - 1)/3
Suppose k = -0 + 2. Let z be (-64 + 39)*2/(-15). Determine o so that -2/3*o**3 - 4/3 - 8/3*o**k - z*o = 0.
-2, -1
Let h(y) = y**3 - 5*y**2 + y - 3. Let v be h(5). What is d in v*d**4 + 3*d**3 + 0*d**3 - d**3 = 0?
-1, 0
Let k(u) = u + 2. Let r be k(2). Let -r - w**2 + 13 - 9 = 0. Calculate w.
0
Let g(x) be the third derivative of x**8/224 + 3*x**7/140 + x**6/40 - x**5/20 - 3*x**4/16 - x**3/4 + 4*x**2. Factor g(a).
3*(a - 1)*(a + 1)**4/2
Let b(v) = v - 1. Let d(r) be the first derivative of -9*r**3 - 29*r**2/2 - 10*r + 8. Let w(g) = 4*b(g) - d(g). Determine k so that w(k) = 0.
-1, -2/9
Let a(r) be the third derivative of 0*r**3 + 0 - 1/210*r**5 - 1/1176*r**8 - 1/245*r**7 + 0*r - 1/140*r**6 + 0*r**4 + 4*r**2. Solve a(h) = 0 for h.
-1, 0
Let b(n) = -19*n**2 - 7*n - 13. Let y(j) = -9*j**2 - 3*j - 6. Let v(r) = -6*b(r) + 13*y(r). Suppose v(o) = 0. Calculate o.
0, 1
Suppose 21 = -3*t + 6. Let x = t + 5. Find y such that 3/4*y**2 + x + 1/2*y = 0.
-2/3, 0
Let p(t) be the third derivative of t**8/1008 - t**7/630 - t**6/120 + t**5/180 + t**4/36 - 4*t**2. Factor p(k).
k*(k - 2)*(k - 1)*(k + 1)**2/3
Suppose 0 = 2*v - v. Suppose a + f - 2 = v, -4 = -3*a - 2*f - 0. Factor 0*s**2 - s**3 - s**4 + a*s**2.
-s**3*(s + 1)
Let z(p) be the second derivative of -p**7/420 + p**6/120 - p**5/120 + 3*p**2 + p. Let d(m) be the first derivative of z(m). Factor d(v).
-v**2*(v - 1)**2/2
Let -4*o**5 + 134 - 72*o**3 + 88*o**2 - 248 + 28*o**4 - 52*o + 126 = 0. Calculate o.
1, 3
Let -6*z**2 - 4/3*z + 0 + 6*z**4 + 4/3*z**3 = 0. Calculate z.
-1, -2/9, 0, 1
Let o(p) be the first derivative of 0*p**2 - 2*p + 3/100*p**5 + 1/15*p**4 + 1/30*p**3 + 1. Let q(t) be the first derivative of o(t). Factor q(k).
k*(k + 1)*(3*k + 1)/5
Suppose -27/2*r**4 + 3*r**2 + 0 + 0*r - 21/2*r**3 = 0. What is r?
-1, 0, 2/9
Let o = 54/17 - 253/85. Find x such that 0 - 4/5*x**2 + 4/5*x + o*x**3 = 0.
0, 2
Let d(b) be the first derivative of b**6/21 + 4*b**5/35 - b**4/14 - 4*b**3/21 - 5. Let d(t) = 0. What is t?
-2, -1, 0, 1
Let r = 2 - 0. Find x, given that x**2 + 8*x**r - x + x + 3*x**3 - 12 = 0.
-2, 1
Let g(r) be the third derivative of r**6/240 + r**5/40 + r**4/24 + r**2. Factor g(n).
n*(n + 1)*(n + 2)/2
Factor -3/7*c**2 - 9/7*c + 0.
-3*c*(c + 3)/7
Let j(d) = d - 1. Suppose 39 = 4*f - 3*c, -4*f + 9 = 6*c - 3*c. Let m be j(f). Factor -m*t**4 - 2*t**2 - t**3 - 5*t**3 - t**4 - 2*t**5.
-2*t**2*(t + 1)**3
Let h(p) be the second derivative of -p**9/90720 + p**8/20160 + p**7/15120 - p**6/2160 + p**4/2 - 4*p. Let g(w) be the third derivative of h(w). Factor g(o).
-o*(o - 2)*(o - 1)*(o + 1)/6
Factor 1/2*k - 1/2*k**2 + 1/6*k**3 - 1/6.
(k - 1)**3/6
Let x(g) be the third derivative of -8*g**7/105 + 2*g**6/15 + g**5/5 - g**4/3 - 2*g**3/3 - 7*g**2. Find q, given that x(q) = 0.
-1/2, 1
Let a(d) be the second derivative of d**4/4 - 3*d**3/2 - 6*d. Factor a(s).
3*s*(s - 3)
Let m(z) be the second derivative of -z**5/100 + z**4/60 - 8*z. Suppose m(b) = 0. What is b?
0, 1
Let f = -163 + 165. Determine p so that 0 + 2/5*p**f + 2/5*p - 2/5*p**3 - 2/5*p**4 = 0.
-1, 0, 1
Let j be (-2)/(-1 - 0) + 2. Let b = 7 - 5. Let b + 0*q**2 - j*q - 4 - 2*q**2 = 0. Calculate q.
-1
Suppose 2*f - 5*f + 6 = 0. Let m be 2*f + (1 - 1). Let -4*a**2 + 0*a**4 + 6*a**3 + 2*a + a**4 - 3*a**m - 2*a**2 = 0. Calculate a.
0, 1
Let m(u) be the first derivative of -u**3 + 21*u**2/2 + 24*u + 50. Factor m(b).
-3*(b - 8)*(b + 1)
Suppose -12*r + 8 = -10*r. Let 4/5 - 18/5*l**2 + 14/5*l**r + 2*l - 2*l**3 = 0. What is l?
-1, -2/7, 1
Let w be (-118)/(-5) - (-2)/5. Let k be ((-4)/w)/(1/(-4)). Determine h, given that 0 - k*h**2 + 4/3*h = 0.
0, 2
Factor -2/5*u**5 - 12/5*u**3 + 0 - 2/5*u + 8/5*u**4 + 8/5*u**2.
-2*u*(u - 1)**4/5
Let x(q) be the first derivative of -q**5/20 - 3*q**4/8 - 3*q**3/4 - q**2/2 - 29. Determine a so that x(a) = 0.
-4, -1, 0
Let a(n) be the first derivative of n**6/17 - 2*n**5/17 + n**4/34 + 2*n**3/51 - 1. Factor a(r).
2*r**2*(r - 1)**2*(3*r + 1)/17
Factor 3/2*a**3 + 0 + 3/2*a**4 - 3/2*a**2 + 0*a - 3/2*a**5.
-3*a**2*(a - 1)**2*(a + 1)/2
Let w(p) be the second derivative of p**5/8 - 5*p**4/6 + 5*p**3/4 + 3*p + 1. Let w(r) = 0. Calculate r.
0, 1, 3
Let a be 13 + 2 + 2 - 3. Suppose 0 = -4*k + a - 2. Determine o, given that -1/5*o + 1/5*o**2 + 1/5*o**k - 1/5 = 0.
-1, 1
Let p = -181/105 + 2/35. Let n = -1 - p. Factor -4/3*a + n*a**2 + 0.
2*a*(a - 2)/3
Suppose -2*g + 6*g = 56. Suppose 0 = -5*a - 5*i + 5, -g + 3 = -3*a + i. Factor 1/3*m**a + 1/3*m**2 - 1/3 - 1/3*m.
(m - 1)*(m + 1)**2/3
Factor -20*c + 128*c**5 + 4 - 40*c**3 + 29*c**2 - 132*c**5 + 20*c**4 + 11*c**2.
-4*(c - 1)**5
Let l = 7 + -4. Factor -2*y - 2*y + l + 0 + y**2 + 1.
(y - 2)**2
Let n(g) be the first derivative of g**4/2 - 10*g**3/3 + 8*g**2 - 8*g + 10. Solve n(y) = 0 for y.
1, 2
Let f(d) = -d + 18. Let q be f(11). Suppose 8 + q = 5*p. Factor -j**p + 1/3 - 1/3*j**2 + j.
-(j - 1)*(j + 1)*(3*j + 1)/3
Let n(p) be the second derivative of 0*p**3 + 0 + 5*p + 0*p**2 - 1/48*p**4. Solve n(a) = 0.
0
Let h = 567/5 + -113. Determine j, given that -6/5*j**2 + h*j**3 + 0 + 4/5*j = 0.
0, 1, 2
Suppose y = d - 3, 3*y - 14 = d - 15. Find v, given that -1/5*v**3 + 0 + 0*v**2 + 0*v**d + 0*v + 1/5*v**5 = 0.
-1, 0, 1
Suppose -z = -d + 7, -2*d + 0*d = 3*z - 4. Determine q, given that -3*q**4 + 0 + 3/2*q**3 + 0*q + 0*q**2 + 3/2*q**d = 0.
0, 1
Let f(t) be the first derivative of 2*t**5/55 + 3*t**4/22 + 2*t**3/11 + t**2/11 - 4. Determine a so that f(a) = 0.
-1, 0
Let p = -1025/7 + 147. Factor 0*x**3 - p*x + 0 - 6/7*x**2 + 2/7*x**4.
2*x*(x - 2)*(x + 1)**2/7
Solve 2*z**2 + 2*z - 2*z + z**3 - 3*z**4 = 0.
-2/3, 0, 1
Let k(d) be the second derivative of -d**7/63 - d**6/45 + d**5/15 + d**4/9 - d**3/9 - d**2/3 - 8*d. Find t, given that k(t) = 0.
-1, 1
Let t(k) = k**3 - 3*k**2 + 3. Let z be t(3). Let m be 46/(-36) - z/(-2). Suppose 4/9*q**2 + 2/9*q + m*q**3 + 0 = 0. What is q?
-1, 0
Let z(j) be the second derivative of 0*j**2 + 1/14*j**4 + 3/140*j**5 + 0*j**3 + 0 + 7*j. Factor z(c).
3*c**2*(c + 2)/7
Let q(s) be the first derivative of s**5/25 - 2*s**3/5 + 4*s**2/5 - 3*s/5 - 11. Find g such that q(g) = 0.
-3, 1
Let v = 984528/55 + -17902. Let z = -1/11 - v. Factor -z*m**3 + 0 + m**2 + 2/5*m.
-m*(m - 1)*(7*m + 2)/5
Let a(r) be the third derivative of -r**5/48 + 5*r**3/6 + 36*r**2. Factor a(n).
-5*(n - 2)*(n + 2)/4
Let x(c) = 15*c**3 + 15*c**2 - 20*c - 30. Let n(i) = i**3 - 2*i - 1. Let j(a) = -10*n(a) + x(a). Solve j(m) = 0 for m.
-2, 1
Let v(j) be the second derivative of -j**7/336 - j**6/60 - j**5/32 - j**4/48 - 12*j. Suppose v(t) = 0. What is t?
-2, -1, 0
Let -3/2*g - 3/4 - 3/4*g**2 = 0. What is g?
-1
Let q(p) be the second derivative of -p**4/3 + 2*p**3/3 + 60*p. Solve q(y) = 0 for y.
0, 1
Let k(f) be the second derivative of 0 + 0*f**3 + 1/12*f**4 - 1/4*f**2 - 1/60*f**6 + 0*f**5 - 3*f. Find c, given that k(c) = 0.
-1, 1
Let b(m) be the first derivative of 2*m**5/25 + m**4/10 - 2*m**3/15 - m**2/5 + 1. Find s such that b(s) = 0.
-1, 0, 1
Let w(h) be the first derivative of -h**6/120 + h**5/40 - 2*h**3/3 - 3. Let g(z) be the third derivative of w(z). Let g(s) = 0. Wh