-1/4, 1, 3
Let g(p) be the second derivative of p**4/4 - p**3 - 9*p**2/2 + 12*p. Let g(z) = 0. Calculate z.
-1, 3
Let t(j) be the second derivative of -j**7/210 + j**6/75 + 3*j**5/100 - j**4/15 - 2*j**3/15 + 2*j. Factor t(b).
-b*(b - 2)**2*(b + 1)**2/5
Let v(w) = -5*w**2 + w - 4. Let j(t) = -6*t**2 + t - 5. Let n(q) = -4*j(q) + 5*v(q). Let f be n(1). Determine h so that f + h**2 + 2/3*h = 0.
-2/3, 0
Let y = 84/5 - 16. Determine m so that 2/5*m**2 + y*m + 2/5 = 0.
-1
Let g(k) be the third derivative of 3*k**2 + 1/50*k**5 + 0*k**3 + 0*k + 0*k**6 + 0 - 1/525*k**7 + 1/30*k**4. Find b, given that g(b) = 0.
-1, 0, 2
Let r be (27/(-6))/((-3)/4). Suppose -5*k + r + 4 = 0. Factor 4*f**2 - 4*f**4 - k*f + 2*f**3 + 0*f**3 + 0*f**3.
-2*f*(f - 1)*(f + 1)*(2*f - 1)
Let a(l) = -l**3 + l**2 - 11*l + 5. Let s(d) = -10*d + 6. Let x(u) = -2*a(u) + 3*s(u). Find q such that x(q) = 0.
-2, 1, 2
Let t(g) be the first derivative of g**6/210 - g**5/70 - g**4/28 + 2*g**3/21 + 2*g**2/7 - 5*g - 3. Let b(u) be the first derivative of t(u). Factor b(r).
(r - 2)**2*(r + 1)**2/7
Determine v so that 0*v**3 + 0 - 2/9*v**4 + 4/3*v + 14/9*v**2 = 0.
-2, -1, 0, 3
Let h = 35/116 - 3/58. Factor 1/4*z**2 + h - 1/2*z.
(z - 1)**2/4
Let h(f) be the second derivative of f**6/15 + 3*f**5/5 + 2*f**4 + 10*f**3/3 + 3*f**2 + 35*f. Determine u so that h(u) = 0.
-3, -1
Let o(z) be the third derivative of -z**7/11340 + z**6/3240 + z**5/270 - z**4/12 - z**2. Let s(y) be the second derivative of o(y). Factor s(n).
-2*(n - 2)*(n + 1)/9
Let l(p) be the first derivative of p**7/1680 + p**6/360 - 10*p**3/3 + 3. Let k(q) be the third derivative of l(q). Factor k(a).
a**2*(a + 2)/2
Let c(o) be the first derivative of o**9/1512 - o**7/210 + o**5/60 - o**3/3 - 1. Let q(f) be the third derivative of c(f). Factor q(r).
2*r*(r - 1)**2*(r + 1)**2
Let p(r) = -r**3 + 11*r**2 + r - 11. Let u(y) = -12*y**2 + 12. Let k = -25 + 21. Let j(g) = k*p(g) - 3*u(g). Factor j(c).
4*(c - 2)*(c - 1)*(c + 1)
Find v, given that 1/7*v**3 + 0 - 1/7*v**2 - 2/7*v = 0.
-1, 0, 2
Find v such that -12/7 - 2*v - 2/7*v**2 = 0.
-6, -1
Determine j, given that -2*j**2 - 3 + 4*j**2 - 6*j + 7 = 0.
1, 2
Let z be (-62)/(-36) - (-8)/216*-6. Find i, given that z*i**2 + 0*i + 3/4*i**4 + 9/4*i**3 + 0 = 0.
-2, -1, 0
Determine g, given that 88*g + 114*g**5 - 78*g**3 - 18*g**2 + 32*g**3 - 6*g**4 - 86*g**5 + 24 - 70*g**3 = 0.
-3/2, -1, -2/7, 1, 2
Find n such that -2/11*n**2 - 4/11 + 6/11*n = 0.
1, 2
Let w(b) be the first derivative of 2*b**3/45 - 2*b**2/15 + 2*b/15 + 2. Factor w(l).
2*(l - 1)**2/15
Let q(y) = 3*y + 47. Let c be q(-15). Let a(b) = -b**3 - 5*b**2 + 6*b + 4. Let x be a(-6). Suppose 128/3*m - 48*m**c + 18*m**x - 32/3 + 0*m**3 = 0. Calculate m.
-2, 2/3
What is g in -3*g**4 + 2*g - 3*g**3 - g**4 + 4*g**2 - 3*g + 4*g**3 = 0?
-1, 0, 1/4, 1
Suppose 0 = -15*z + 13*z + 5*q + 33, 9 = -4*z - 5*q. Find c such that 0 + 9/4*c**3 - c**z + 5/2*c**2 - 3/4*c = 0.
-1, 0, 1/4, 3
Let p(a) be the first derivative of a**6/8 - 9*a**5/10 + 9*a**4/4 - 2*a**3 + 8. Find i, given that p(i) = 0.
0, 2
Let y(k) = 24*k**3 - 50*k**2 + 18*k - 16. Let s(r) = -r**3 + r**2 + r + 1. Let x(f) = -12*s(f) - y(f). Factor x(c).
-2*(c - 2)*(c - 1)*(6*c - 1)
Let n(y) = y - 24. Let x be n(0). Let p be x/144 - 38/(-12). Determine b, given that -24/11*b**2 - 16/11*b - 12/11*b**p - 2/11*b**4 + 0 = 0.
-2, 0
Let g = -24 + 26. Suppose -3 = 2*t - 11. Determine l so that -7*l - t*l**2 + g*l**2 + 5*l = 0.
-1, 0
Let w = 959 - 959. Suppose w*h**3 - 6/5*h**2 + 0*h + 3/5 + 3/5*h**4 = 0. Calculate h.
-1, 1
Solve 5/4*v - 1/4*v**2 - 1 = 0 for v.
1, 4
Factor 10*l - 9*l**2 + 0*l - 6*l + 7*l**2.
-2*l*(l - 2)
Let w(x) = -x + 3. Let m be w(0). Let f = m + 1. Solve 9*u + 4 + 0 + 12*u**2 - 2 + f*u**3 = 0.
-2, -1/2
Factor 0*g**2 - 2*g + 3*g + g**2 + 0*g.
g*(g + 1)
Let r(s) be the second derivative of 1/5*s**2 + 0 - 4*s - 1/15*s**4 + 1/75*s**6 + 0*s**3 + 0*s**5. Suppose r(k) = 0. Calculate k.
-1, 1
Let a(q) be the third derivative of 0*q + 1/3*q**3 + 0 - 1/120*q**5 - 4*q**2 - 1/16*q**4. Factor a(y).
-(y - 1)*(y + 4)/2
Factor 5*s - s**5 - 3*s**4 - 4*s + 1 + 2*s - 2*s**3 + 2*s**2.
-(s - 1)*(s + 1)**4
Factor -6*w**3 + 3*w**2 - 13*w**2 + 5*w**5 - 9*w**3 + 0*w**3.
5*w**2*(w - 2)*(w + 1)**2
Let s(j) be the third derivative of j**5/30 - j**4/6 - 10*j**2. Determine h so that s(h) = 0.
0, 2
Let b(u) be the second derivative of 0*u**3 + 0*u**2 - 4*u + 0 + 1/6*u**4 + 1/20*u**5. Factor b(o).
o**2*(o + 2)
Suppose -2/13*a + 0 + 2/13*a**3 + 0*a**2 = 0. What is a?
-1, 0, 1
Let z = 33 + -18. Let x be (-3 - (-27)/z)*-4. Factor 0*p + 18/5*p**3 + 0 + 2*p**5 + x*p**4 + 4/5*p**2.
2*p**2*(p + 1)**2*(5*p + 2)/5
Let n be -5 + 5 + -2 + -1. Let s(i) = i**2 - i. Let z(m) = -m**3 - 5*m**2 + 5*m + 1. Let d(t) = n*z(t) - 24*s(t). Suppose d(u) = 0. What is u?
1
Let w = 6 - 4. Factor -2*i**2 - 2*i - 4 - 6*i + w*i.
-2*(i + 1)*(i + 2)
Let v(t) be the first derivative of -2*t**4/5 + 2*t**3/5 + 9*t**2/5 + 4*t/5 + 6. Suppose v(o) = 0. What is o?
-1, -1/4, 2
Let s be (3/(-4))/((-105)/(-28) - 4). Factor 0 - 2/13*g**s + 0*g + 2/13*g**2.
-2*g**2*(g - 1)/13
Let m be (-7)/((-21)/(-54))*-1. Suppose -i = 2*i - m. Factor -t + 7*t**2 + 1 + 0 + i*t + 3*t**3.
(t + 1)**2*(3*t + 1)
Factor -3*p - 87*p**3 + 5*p + 85*p**3.
-2*p*(p - 1)*(p + 1)
Find f such that -14*f**3 + 12*f**2 - 17*f**4 - 8*f**3 + f + 31*f**4 - 2 - 3*f**5 = 0.
-1/3, 1, 2
Let -43 + 11*j + j**2 + 41 - 10*j**2 = 0. What is j?
2/9, 1
Let g = -24 + 48. Factor 0*l - 54*l**4 - g*l**3 + 0 - 8/3*l**2.
-2*l**2*(9*l + 2)**2/3
Let w = 0 + 2. Find i such that -3*i**2 + 2*i**w - i**2 + 2*i + 3*i**2 = 0.
-2, 0
Let d(m) be the second derivative of 0 + 3/80*m**5 - 3/8*m**2 + 1/16*m**4 - 1/8*m**3 - 8*m. Factor d(b).
3*(b - 1)*(b + 1)**2/4
Let b(d) be the second derivative of -7*d**4/24 - 3*d**3/4 - d**2/2 + 7*d. Factor b(o).
-(o + 1)*(7*o + 2)/2
Let y(b) be the third derivative of 0 + 0*b**4 + 1/20*b**5 + 1/40*b**6 + 0*b**3 - 3*b**2 + 0*b. Suppose y(t) = 0. Calculate t.
-1, 0
Suppose -y + 3*o = 3, o - 65 = -8*y + 3*y. Let i = y + -10. Suppose 1/5 - 4/5*t**3 + 1/5*t**4 + 6/5*t**i - 4/5*t = 0. Calculate t.
1
Factor 0 + 0*k**2 + 8/3*k**3 - 2/3*k**5 + 0*k**4 + 0*k.
-2*k**3*(k - 2)*(k + 2)/3
Let c be (-33)/(-9) + -1 + 2. Let h = c - 40/9. Factor 0*y**2 + 0*y**4 + 2/9*y**5 + 0 + 0*y - h*y**3.
2*y**3*(y - 1)*(y + 1)/9
Suppose 14*j = 7 + 35. Let d(v) be the third derivative of -3*v**2 + 0 + 1/12*v**4 - 1/12*v**5 + 0*v**j + 0*v. Find u such that d(u) = 0.
0, 2/5
Let u = -28 + 34. Let c(l) be the third derivative of 0 + 0*l + 1/480*l**u - 1/96*l**4 + l**2 + 1/240*l**5 - 1/24*l**3. Factor c(y).
(y - 1)*(y + 1)**2/4
Let p(r) = -3*r**2 - 12*r + 17. Let v(j) = 8*j**2 + 37*j - 52. Let c(l) = -7*p(l) - 2*v(l). Suppose c(a) = 0. Calculate a.
-3, 1
Suppose 34 = 5*u - 2*q, -2 = 4*q - 3*q. Let g be ((-87)/45 - -2)*u. Find p such that 4/5 + 4/5*p**4 - 8/5*p**2 + 2/5*p - 4/5*p**3 + g*p**5 = 0.
-2, -1, 1
Factor 0*o + 1/9*o**3 - 4/9 + 1/3*o**2.
(o - 1)*(o + 2)**2/9
Let -9/8*i - 3/8*i**2 - 3/4 = 0. What is i?
-2, -1
Let r = 0 + 0. Let t be ((-12)/(-10))/((-36)/(-48)*4). Find p such that r*p + t*p**2 + 0 = 0.
0
Let t(d) be the first derivative of -5*d**4/2 + 2*d**3/3 + 5*d**2 - 2*d + 6. Factor t(n).
-2*(n - 1)*(n + 1)*(5*n - 1)
Let j = 37 + -23. Let x be (-20)/(-70) - 4/j. Factor 2/9*a**2 + 2/9*a**3 - 2/9*a + x - 2/9*a**4.
-2*a*(a - 1)**2*(a + 1)/9
Let f(b) be the first derivative of -2*b + 2 - 1/6*b**3 + 0*b**2 - 1/12*b**4. Let a(j) be the first derivative of f(j). Find u such that a(u) = 0.
-1, 0
Let b(h) = -405*h**4 - 1820*h**3 + 475*h**2 - 85*h + 85. Let i(c) = 29*c**4 + 130*c**3 - 34*c**2 + 6*c - 6. Let g(k) = -6*b(k) - 85*i(k). Factor g(d).
-5*d**2*(d + 4)*(7*d - 2)
Let x(z) be the third derivative of -z**8/504 - z**7/315 + z**6/180 + z**5/90 - 2*z**2. Factor x(y).
-2*y**2*(y - 1)*(y + 1)**2/3
Let f(t) be the second derivative of -t**5/10 - t**4/12 + t**3/3 + t**2/2 - 24*t. Determine n so that f(n) = 0.
-1, -1/2, 1
Let w(d) be the first derivative of -d**4/72 - d**3/36 - 2*d + 8. Let a(t) be the first derivative of w(t). Solve a(q) = 0.
-1, 0
Let a = 0 - 1. Let t be 1 + a + 0 + 3. Let 2*i**t + 0*i - 2*i**2 - 2*i + 1 + 1 = 0. What is i?
-1, 1
Let v(d) be the third derivative of d**7/840 + d**6/504 - d**5/420 - 4*d**3/3 - 4*d**2