 + 12*s**2. Solve h(r) = 0 for r.
-1, 0, 1
Let x(a) be the first derivative of 2*a**5/25 - 26*a**3/15 + 12*a**2/5 - 147. Solve x(c) = 0.
-4, 0, 1, 3
Let b(g) = g**3 + 3*g**2 - 2*g + 2. Let t(c) be the first derivative of -c**4 - 3*c**3 + 3*c**2 - 7*c + 11. Let z(m) = -7*b(m) - 2*t(m). Solve z(i) = 0 for i.
0, 1, 2
Let l(f) = -f**5 + 9*f**4 - 43*f**3 + 9*f**2 + 44*f - 18. Let b(q) = -q**4 - q**3 + q + 1. Let a(u) = -6*b(u) + l(u). Suppose a(m) = 0. What is m?
-1, 1, 2, 12
Let o(y) be the second derivative of -4/17*y**2 + 0 - 1/17*y**3 + 6*y + 1/102*y**4. Factor o(t).
2*(t - 4)*(t + 1)/17
What is a in 0 - 186/11*a**3 - 4232/11*a - 4416/11*a**2 - 2/11*a**4 = 0?
-46, -1, 0
Let w(g) = 6*g**3 - g**2 - 3*g - 3. Suppose 3*b - 15 = -6. Let f(l) = -l**3 + l + 1. Let j(i) = b*w(i) + 21*f(i). Solve j(u) = 0 for u.
-2, -1, 2
Let s(v) be the first derivative of 4*v**2 + 22/9*v**3 + 14 + 2/3*v**4 + 3*v + 1/15*v**5. Find r such that s(r) = 0.
-3, -1
Let n(m) be the second derivative of -5*m**7/42 + 5*m**6/6 + 13*m**5/4 + 35*m**4/12 - 59*m. Factor n(x).
-5*x**2*(x - 7)*(x + 1)**2
Let p = 12 - -12. Let l = p + -19. Factor -r**4 - 4*r**5 + 3*r**3 + l*r**5 - 3*r**3.
r**4*(r - 1)
Let c(v) = -v**4 + v**3 + v**2 - v - 2. Let n(u) = -6*u**4 - 19*u**3 - 15*u**2 + 31*u + 5. Let d(h) = -6*c(h) + 3*n(h). Suppose d(q) = 0. What is q?
-3, -1/4, 1
Let c(l) = -l + 3. Let j be c(-2). Let r be j/(140/(-12))*-7. Find t such that -30*t**3 + 15*t**4 + 2*t + 3 - 18*t - r*t**5 + t + 30*t**2 = 0.
1
Factor 21/2*m**3 - 3*m**2 + 3 - 21/2*m.
3*(m - 1)*(m + 1)*(7*m - 2)/2
Factor 10*h**3 + 8 - 5*h**2 + 2*h**3 + 3*h - 13*h**3 - 5*h.
-(h - 1)*(h + 2)*(h + 4)
Let i(y) = 8*y**3 + 6*y**2 - 20*y - 6. Let p(w) = 14*w**3 + 13*w**2 - 38*w - 11. Let n(t) = 11*i(t) - 6*p(t). Solve n(c) = 0.
0, 1, 2
Let c(r) = -2*r**4 + 5*r**3 + 11 + 2*r**3 + 5*r**2 - 17*r + r**4. Let s(d) = -3*d**3 - 3*d**2 + 9*d - 6. Let p(u) = 3*c(u) + 5*s(u). Factor p(x).
-3*(x - 1)**3*(x + 1)
Let p(v) be the first derivative of v**6/3 - 66*v**5/25 + 3*v**4/10 + 178*v**3/15 + 12*v**2/5 - 72*v/5 - 83. Determine g, given that p(g) = 0.
-1, 3/5, 2, 6
Factor 24*p**3 + 20*p + 4/5*p**5 + 32*p**2 + 24/5 + 8*p**4.
4*(p + 1)**4*(p + 6)/5
Let f(m) be the second derivative of -44*m + 0 - 1/12*m**6 + 5/84*m**7 + 0*m**4 + 0*m**3 + 0*m**2 + 0*m**5. Factor f(x).
5*x**4*(x - 1)/2
Solve -22*x + 5*x**5 + 2*x**4 - 15*x**3 + 42*x - 20*x**2 - 4*x**4 + 12*x**4 = 0.
-2, 0, 1
Let r = -553 + 558. Let u(a) be the second derivative of 2*a - 1/30*a**4 + 0 - 1/50*a**r + 0*a**3 + 0*a**2. Factor u(o).
-2*o**2*(o + 1)/5
Let a(o) be the third derivative of o**6/3600 - o**5/120 + 5*o**4/48 + 31*o**3/6 - 27*o**2. Let t(y) be the first derivative of a(y). Factor t(z).
(z - 5)**2/10
Let o = 24010182794/3115 - 7707923. Let i = 3/445 + o. Factor 12/7*r**3 + 0 + i*r - 15/7*r**2 - 3/7*r**4.
-3*r*(r - 2)*(r - 1)**2/7
Let 3*r**2 - 8*r**2 - 76*r + 3*r**2 - 1444 + r**2 = 0. What is r?
-38
Let r(n) be the first derivative of 1 + 3/5*n**4 - 2/5*n**3 + 0*n**2 + 0*n - 6/25*n**5. Let r(f) = 0. What is f?
0, 1
Let v(i) be the second derivative of -i**5/4 - 5*i**4/6 - 5*i**3/6 - 25*i. Factor v(q).
-5*q*(q + 1)**2
Suppose 23*k = 51*k - 84. Let x(r) be the first derivative of -4 - 12/5*r + 2/5*r**k + 7/5*r**2. Let x(d) = 0. What is d?
-3, 2/3
Determine q, given that 0 + 75/2*q**3 + 12*q - 27/2*q**4 + 63*q**2 = 0.
-1, -2/9, 0, 4
Suppose -12*w = 28*w + 227*w - 801. Determine z so that -8/3*z**w - 10/3*z**2 + 0 - 2/3*z = 0.
-1, -1/4, 0
Suppose -41*v - 40 + 122 = 0. Factor -3/2*f**3 + 0*f**v + 0 + 0*f.
-3*f**3/2
Let g = -205 + 210. Let x(f) be the second derivative of 1/90*f**6 - 1/12*f**4 + 4*f - 1/18*f**3 + 0 + 1/3*f**2 + 1/60*f**g. Factor x(v).
(v - 1)**2*(v + 1)*(v + 2)/3
Let j = -2/5 + 43/45. Let m(a) be the first derivative of 41/18*a**4 + 4/9*a - 14/15*a**5 - j*a**2 + 4 - 34/27*a**3. Suppose m(r) = 0. What is r?
-1/3, 2/7, 1
Let q be ((-5)/(-20))/(-9*(-10)/48). Let x(o) be the third derivative of 1/20*o**4 + 0 - 1/150*o**5 + 0*o + 6*o**2 - q*o**3. Factor x(t).
-2*(t - 2)*(t - 1)/5
Suppose -2*s - 3 = u - 20, 5*u - 8 = s. Let g(o) = -o**2 + 6*o + 10. Let q be g(s). Factor q*i + 3*i**4 - 3*i - i**2 - 2*i + 2*i**3 + 2*i**3.
i*(i + 1)**2*(3*i - 2)
Suppose 0 = -9*j + 4*j + 20. Let k be (14/8)/1 - (-1)/j. Suppose -2/3*q**k - q - 1/3 = 0. What is q?
-1, -1/2
Let g(r) be the first derivative of 2*r**3/7 + 36*r**2/7 + 192*r/7 + 19. Find f, given that g(f) = 0.
-8, -4
Let i(t) be the first derivative of 16/27*t**3 - 7/9*t**2 - 1/6*t**4 + 4/9*t - 13. Factor i(f).
-2*(f - 1)**2*(3*f - 2)/9
Let c(p) = 21*p**2 - 700*p + 789. Let f(y) = 4*y**2 - 140*y + 156. Let r(b) = 2*c(b) - 11*f(b). Factor r(s).
-2*(s - 69)*(s - 1)
Suppose 0 = -f + 4*f - 201. Suppose -5 = -d, -5*d = 4*s - s - f. Suppose 3*v**2 - 1 - 4*v**4 - s*v**3 + 10*v**3 + 2*v + 0*v**4 = 0. What is v?
-1, 1/2
Let l = -7919/20 - -396. Let w(p) be the third derivative of 1/150*p**5 + 0*p - 4*p**2 + 2/15*p**3 + l*p**4 + 0. Factor w(r).
2*(r + 1)*(r + 2)/5
Let v = -8 - -42/5. Let o(d) be the first derivative of 2 + 0*d + 2/3*d**3 + 0*d**2 + 1/4*d**4 - v*d**5 - 1/6*d**6. Factor o(a).
-a**2*(a - 1)*(a + 1)*(a + 2)
Let g be (-4)/(-12)*(-7)/(-49). Let h(k) be the second derivative of g*k**4 + 0*k**2 - 9*k + 4/21*k**3 + 0. Factor h(o).
4*o*(o + 2)/7
Let t = -377 - -381. Let f(p) be the second derivative of 3*p**3 + 0 - 3*p**2 - 9/8*p**t + 4*p. Factor f(j).
-3*(3*j - 2)**2/2
Let w(z) be the first derivative of -z**3 - 114*z**2 - 4332*z - 212. Factor w(d).
-3*(d + 38)**2
Let m = 20 - 15. Suppose -m*j = 69 - 69. Find s such that 1/3 + j*s**2 - s + 4/3*s**3 = 0.
-1, 1/2
Let w(v) = 3*v**3 + 3*v + 2. Let r be w(-1). Let a be 144/r*3/(-30). Let 12/5*u - a - 2/5*u**2 = 0. Calculate u.
3
Factor -r**2 + 3*r**2 + 2*r**2 + 2 + 3*r**2 + 9*r.
(r + 1)*(7*r + 2)
Suppose q = -0*q + 2*m + 16, 3*q = -3*m + 3. Let l(p) be the second derivative of 0*p**2 + 0*p**3 + 1/10*p**5 + 1/12*p**4 + 1/30*p**q + 0 + 4*p. Factor l(j).
j**2*(j + 1)**2
Let a be 0 - (-1 + 2) - 44. Let u be (-30)/a*9/2. Suppose 20*b**2 + 32/3*b + 2 + 16*b**u + 14/3*b**4 = 0. What is b?
-1, -3/7
Let l = -27 + 39. Let -3*x**3 - 6 - 6 + l + 3*x = 0. What is x?
-1, 0, 1
Let n be (10/15)/((-6)/(-585)). Let i = n + -61. What is x in 0 - 2/5*x**2 + 4/5*x**3 - 4/5*x + 2/5*x**i = 0?
-2, -1, 0, 1
Let g(w) be the third derivative of w**8/84 + 26*w**7/105 + 2*w**6/5 + 4*w**2 + 18*w. Let g(q) = 0. What is q?
-12, -1, 0
Let n = 306 - -537. Factor 2*z**3 - 6*z**2 + 841*z - n*z - 2 + 8.
2*(z - 3)*(z - 1)*(z + 1)
Find l, given that 0 - 32*l**2 - 1/2*l**3 - 63/2*l = 0.
-63, -1, 0
Let h(z) = z - 2. Let r be h(4). Let u(k) = 4*k - 1. Let b be u(1). Solve 2*x**4 + x**3 + x**b + x**r - x**4 = 0 for x.
-1, 0
Let n(o) = -o**2. Let k(z) = -8 - 16*z + 7*z**2 + 2*z**3 - 7*z**2 - 4*z**3. Suppose -5*y - 2 = 3. Let c(l) = y*k(l) - 10*n(l). Factor c(i).
2*(i + 1)*(i + 2)**2
Let x = -8 + 4. Let c be (-2)/(3/18*x). Factor -f - c + 3 - f**4 + 21*f**2 + f**3 - 20*f**2.
-f*(f - 1)**2*(f + 1)
Let w = -53 - -65. Find q such that -w*q**2 + 7*q**2 - q + 6*q = 0.
0, 1
Let x = -55/3 - -21. Let o be (1 - -2) + (10/6 - -4). Determine h, given that 2/3*h**4 - 8*h - 4*h**3 + o*h**2 + x = 0.
1, 2
Let r(z) = -z**3 - 4*z**2 + 8*z + 6. Let h be r(-5). Let c be (-340)/(-15) + (-3)/h. Factor -4*m + 12*m**2 + 2*m + 6 - 2*m - c*m.
3*(m - 2)*(4*m - 1)
Suppose 0 = 2*o + 47 + 23. Let u = o + 107/3. Factor 0 + 2/3*b**4 - 2/3*b - u*b**2 + 2/3*b**3.
2*b*(b - 1)*(b + 1)**2/3
What is q in -14/3*q - 19/3*q**4 - q**5 + 17/3*q**3 + 0 + 19/3*q**2 = 0?
-7, -1, 0, 2/3, 1
Factor 4*q - 22/5*q**2 + 0 + 2/5*q**3.
2*q*(q - 10)*(q - 1)/5
Let j = 16 - -39. Let a be (-2)/12*(-5)/(j/88). Factor 1/3 + 4/3*c**3 + 2*c**2 + a*c + 1/3*c**4.
(c + 1)**4/3
Let t(d) be the second derivative of -d**5/50 + 2*d**4 - 279*d**3/5 - 1922*d**2/5 + 185*d. Factor t(s).
-2*(s - 31)**2*(s + 2)/5
Suppose 2*i - 6 - 20 = -d, 4*i + 3*d = 50. Let z be (15 - i)*2*2/16. Factor -z*p**3 - 1/4*p**4 + 0 + 1/4*p + 1/4*p**2.
-p*(p - 1)*(p + 1)**2/4
Let f = 127 + -125. What is x in 78*x**f - 23*x**2 + 16*x - 26*x**2 + 64 - 28*x**2 = 0?
-8
Let a(j) = -j**2 + 5*j - 4. Let i be a(3). Let w = i - 3/4. Find t, given that -5/4*t + 5/2 + w*t**3 - 5/2*t**2 = 0.
-1, 1, 2
Factor 53544 + 15*z**2 - 53544 + 6*z**3 - 2