0*j + 0*j**2. Factor a(h).
3*h**2*(h + 2)
Suppose -4*r**3 + 102*r**3 + 57*r**3 + 75*r**4 - 20*r = 0. What is r?
-2, -2/5, 0, 1/3
Determine r, given that -r + 13 + 0*r**2 + 2*r**2 - 3*r - 8 - 3 = 0.
1
Let m = 33 + -33. Let u(r) be the third derivative of -1/40*r**6 + 7*r**2 + 0*r + m - 3/8*r**4 - 1/5*r**5 + 0*r**3. Suppose u(z) = 0. What is z?
-3, -1, 0
Let y = 3236 + -74422/23. Factor -2/23*h - 6/23*h**3 - y*h**2 + 0 - 2/23*h**4.
-2*h*(h + 1)**3/23
Suppose -4535*o + 4531*o + 36 = 3*k, -2*k = 2*o - 18. Factor k*n - 2/9*n**3 + 0 - 2/9*n**2.
-2*n**2*(n + 1)/9
Suppose -12*u = -46 - 374. Let i be (8/u)/((-38)/(-95)). Factor -8/7*g + 12/7 - i*g**2.
-4*(g - 1)*(g + 3)/7
Factor 33 + 35*q**3 - 13 - 30*q**4 - 20 - 5*q**5.
-5*q**3*(q - 1)*(q + 7)
Let z(q) be the third derivative of q**5/210 - 31*q**4/42 + 961*q**3/21 - 169*q**2. Let z(c) = 0. Calculate c.
31
Let f(l) = -l**2 + 8*l + 2. Let u be f(8). Let w(k) = k**2. Let d be w(u). Let d*j**5 + j + j - 16*j**4 + 12*j**3 - 16*j**2 + 2*j + 12*j**3 = 0. Calculate j.
0, 1
Suppose 10*p = -7 - 13. Let t be (13/(-65))/(p/4). Factor -1/5*d**5 + d + 4/5*d**4 - 2/5 - t*d**2 - 4/5*d**3.
-(d - 2)*(d - 1)**3*(d + 1)/5
Let c(n) be the second derivative of 2*n**7/735 + n**6/210 - 2*n**5/105 + 17*n**2/2 - 7*n. Let z(i) be the first derivative of c(i). Factor z(j).
4*j**2*(j - 1)*(j + 2)/7
Let o(f) be the second derivative of f**4/60 - 41*f**3/15 + 1681*f**2/10 + 11*f + 3. Factor o(d).
(d - 41)**2/5
Factor 64/15*x - 4/3*x**2 + 2/15*x**3 - 64/15.
2*(x - 4)**2*(x - 2)/15
Let b(d) = -2*d - 39. Let g be b(-20). Let n be -1*(-5)/(-35)*(-7 + g). Factor -30/7*a**3 - n - 26/7*a - 6*a**2 - 8/7*a**4.
-2*(a + 1)**3*(4*a + 3)/7
Let q(c) be the third derivative of -1/8*c**4 - 3*c**3 + 0*c + 0 - 38*c**2 + 1/10*c**5. What is l in q(l) = 0?
-3/2, 2
Suppose 4*d + 8 = 0, -4*v + d - 10 = -0*v. Let u = v + 6. Let -6*j**2 + u*j**2 + j**2 + 8*j - 2*j**2 = 0. Calculate j.
0, 2
Let r(j) be the second derivative of -j**4/4 + j**3 - 3*j**2/2 + 72*j. Factor r(q).
-3*(q - 1)**2
Let u(x) be the third derivative of x**6/360 + x**5/45 + x**4/24 + 49*x**2. Factor u(v).
v*(v + 1)*(v + 3)/3
Solve -118*t**4 + 4*t**5 - 3*t**5 + 150*t**4 - 5*t**5 - 76*t**3 + 48*t**2 = 0.
0, 1, 3, 4
Let i(a) = -4*a**3 - 38*a**2 - 74*a - 58. Let q(v) = -v**2 + v + 1. Let h(s) = -i(s) + 6*q(s). Factor h(c).
4*(c + 2)**2*(c + 4)
Let a be 10/(-3)*(-66)/(-44). Let f be (1/(-5))/(2/a). Solve 1/2*m**2 + f + m = 0.
-1
Factor -5/4*h**4 + 20*h**2 + 25*h + 0 + 5/4*h**3.
-5*h*(h - 5)*(h + 2)**2/4
Let v = 3860 - 3858. Solve -6/13*b**v + 0 - 2/13*b**3 - 4/13*b = 0 for b.
-2, -1, 0
Let d(n) = 2*n**4 - 20*n**3 - 65*n**2 - 94*n - 3. Let l(q) = -5*q**4 + 58*q**3 + 195*q**2 + 284*q + 8. Let t(s) = -8*d(s) - 3*l(s). What is u in t(u) = 0?
-5, -4, 0
Let z = -72782/3 + 24261. Determine l, given that -23/3*l - 100*l**3 - z - 160/3*l**2 = 0.
-1/3, -1/10
Let j(f) be the third derivative of -2*f**7/525 + 3*f**6/50 - 8*f**5/25 + 2*f**4/3 - 86*f**2. Factor j(k).
-4*k*(k - 5)*(k - 2)**2/5
Suppose -95*w**2 + 12*w**2 - 4 - 152*w - 65*w**2 = 0. What is w?
-1, -1/37
Let h(r) be the third derivative of 0*r + 0 + 1/10*r**7 + 8*r**2 + 1/56*r**8 + 1/4*r**5 + 9/40*r**6 + 0*r**3 + 1/8*r**4. Suppose h(y) = 0. Calculate y.
-1, -1/2, 0
Let g(h) = -7*h + 38. Let q be g(4). Let v = q - 26/3. Solve -2/3 + 2/3*t - v*t**3 + 2/3*t**5 + 4/3*t**2 - 2/3*t**4 = 0 for t.
-1, 1
Let x be -1*(-10 - (-6)/3). Let l = -3 + x. Determine z, given that l - 5 + z - 9*z**2 + 3*z**4 + 3*z**3 - 4*z + 6 = 0.
-2, -1, 1
Let o(n) be the first derivative of n**4/7 - 4*n**3/3 - 60*n**2/7 + 469. Determine v, given that o(v) = 0.
-3, 0, 10
Let a(n) be the first derivative of 44*n**3 - 10*n**4 - 88*n**2 + 4/5*n**5 + 36 + 80*n. Solve a(d) = 0.
1, 2, 5
Let f(t) be the first derivative of 54*t - 6*t**2 - 17 + 2/9*t**3. What is n in f(n) = 0?
9
Let b(f) be the first derivative of -20*f + 9*f**2 + 2/3*f**3 + 6. Factor b(h).
2*(h - 1)*(h + 10)
Let f(j) be the first derivative of -4*j**3/21 + 10*j**2/7 + 96*j/7 - 70. Suppose f(p) = 0. What is p?
-3, 8
Let h(i) = -154*i - 4002. Let p be h(-26). Factor 8/7*j**3 + 0 - 34/7*j**p + 8/7*j.
2*j*(j - 4)*(4*j - 1)/7
Let d(c) = -2*c + 21. Let l be d(9). Factor 4*p**5 - 8*p**2 - 4*p + 3*p**2 - l*p**2 + 8*p**4.
4*p*(p - 1)*(p + 1)**3
Let o(g) be the third derivative of g**8/392 + 9*g**7/245 + g**6/7 + 6*g**5/35 + 38*g**2. What is a in o(a) = 0?
-6, -2, -1, 0
Suppose -b + 149 = 3*m, m = -0*m - 2*b + 43. Suppose -m*p + 24 = -45*p. Factor 4/3 - 4*c - 2*c**3 + 1/3*c**p + 13/3*c**2.
(c - 2)**2*(c - 1)**2/3
Let n(g) be the second derivative of g**4/9 + 4*g**3/9 - 2*g**2 - 366*g. Find i, given that n(i) = 0.
-3, 1
Let -4*w**5 - 32*w**2 - 44*w**3 - 40*w**4 + 6*w - 24*w**3 - 6*w = 0. Calculate w.
-8, -1, 0
Let y(x) be the second derivative of 2*x**7/21 - 4*x**6/15 - 11*x**5/5 + 40*x**4/3 - 88*x**3/3 + 32*x**2 + 3*x + 1. Solve y(l) = 0 for l.
-4, 1, 2
Let h(v) = -4*v**5 - 38*v**4 + 37*v**3 + 35*v**2 - 39*v - 12. Let j(q) = -q**5 - q**3 - q**2 - 4. Let z(c) = h(c) - 3*j(c). Let z(l) = 0. Calculate l.
-39, -1, 0, 1
Let r(m) be the first derivative of -m**6/8 - 9*m**5/20 + 3*m**4/2 + 3*m**3 - 6*m**2 + 449. Let r(s) = 0. What is s?
-4, -2, 0, 1, 2
Let y(o) be the second derivative of -o**7/21 + o**6/5 - 2*o**4/3 - 119*o. Determine h, given that y(h) = 0.
-1, 0, 2
Factor 26/3*k - 8/3*k**2 - 4*k**3 + 2/3*k**5 + 4/3*k**4 - 4.
2*(k - 1)**3*(k + 2)*(k + 3)/3
Let q be (((-24)/(-10))/(-4))/(-3*(14 - 13)). Factor 0*m**2 + 0*m + q*m**4 + 0 - 2/5*m**3 + 3/5*m**5.
m**3*(m + 1)*(3*m - 2)/5
Let k(t) be the third derivative of 1/4*t**5 + 7*t**2 + 1/12*t**6 + 0 - 5/8*t**4 - 5/3*t**3 + 0*t. What is b in k(b) = 0?
-2, -1/2, 1
Factor -27/2*z - 65/2*z**3 - 21/2*z**4 - 69/2*z**2 - 1.
-(z + 1)**3*(21*z + 2)/2
Determine n so that 2*n**3 - 15/4*n**2 - 1/4*n**4 + 4 - 2*n = 0.
-1, 1, 4
Let f be (16/6)/(-4) - (14 - 2320/150). Solve -4/5*r + 12/5 + f*r**3 - 12/5*r**2 = 0 for r.
-1, 1, 3
Let z(j) be the second derivative of j**8/1680 - j**6/360 - 2*j**3/3 + 15*j. Let o(m) be the second derivative of z(m). Let o(w) = 0. What is w?
-1, 0, 1
Factor 8/7*i + 0 + 2/7*i**2.
2*i*(i + 4)/7
Let x(l) be the first derivative of 5/4*l**4 + 4 - 15/2*l**2 + 0*l**3 + 10*l. Suppose x(i) = 0. What is i?
-2, 1
Let f(v) be the second derivative of v**7/420 - v**6/360 - v**5/30 - 3*v**4/4 - 8*v. Let t(h) be the third derivative of f(h). Solve t(x) = 0 for x.
-2/3, 1
Let k(q) = 2*q**3 - 20*q**2 + 110*q - 824. Let a be k(9). Factor 0*t + 0*t**2 + 0 - 7/3*t**a + 2/3*t**3 + t**5.
t**3*(t - 2)*(3*t - 1)/3
Let h(o) = o**2 + 6*o + 16. Let p be h(-10). Suppose 49*a**3 + p*a**3 - 18*a**2 - 24*a - 45*a - 18 = 0. What is a?
-3/7, -2/5, 1
Let t = 92 - 1378/15. Let i(h) be the first derivative of 5 + 2/5*h + 0*h**2 - t*h**3. Suppose i(c) = 0. Calculate c.
-1, 1
Suppose 2 = 3*u - 2*n, -3*u + 2*u + 4*n = -4. Let s(z) be the third derivative of -1/8*z**4 + u + z**3 - 3*z**2 + 0*z - 1/20*z**5. Determine b so that s(b) = 0.
-2, 1
Let m(n) = 2*n**2 + 25*n - 56. Let r be m(2). Find s such that 7/3*s + 1/3*s**r + 0 = 0.
-7, 0
Let l = -12 - -14. Let k(n) be the third derivative of 0*n + 5*n**l + 1/30*n**6 + 4/3*n**4 + 8/3*n**3 + 0 + 1/3*n**5. Find i, given that k(i) = 0.
-2, -1
Let s be (24/(-90))/((-2)/5)*45/35. Factor s*k**5 + 6/7*k**2 + 0 + 0*k + 18/7*k**4 + 18/7*k**3.
6*k**2*(k + 1)**3/7
Let d(c) be the second derivative of c**8/1680 + c**7/630 + 5*c**4/12 - c**2/2 + 29*c. Let b(i) be the third derivative of d(i). Suppose b(h) = 0. What is h?
-1, 0
Let l(n) = n**3 + 8*n**2 - 23*n + 12. Let o be l(-8). Factor -9*h**2 + 201*h - o*h + 29*h**2.
5*h*(4*h + 1)
Factor 28/5 - 1/5*b**3 + 4/5*b - 7/5*b**2.
-(b - 2)*(b + 2)*(b + 7)/5
Let u(g) be the second derivative of -g**8/9240 - g**7/4620 + 2*g**3/3 - 2*g. Let j(v) be the second derivative of u(v). Factor j(b).
-2*b**3*(b + 1)/11
Let v be -5*(333/(-15) - 3). Let f be 770/v - 5/1. Find n such that 2/9*n**2 + 2/3 - 2/9*n**3 + f*n = 0.
-1, 3
Let w(z) = 8*z**4 - 24*z**3 + 42*z**2 - 44*z + 18. Let h(u) = -u**4 + u**3 + u - 1. Let g(b) = 6*h(b) + w(b). Factor g(o).
2*(o - 6)*(o - 1)**3
Let j = -213 - -213. Let m(t) be the second derivative of -t - 1/5*t**5 + j + 0*t**2 + 1/6*t**4 + 0*t**3 + 1/15*t**6. Factor m(c).
2*c**2*(c - 1)**2
Let c(l) = -8*l + 106.