10*n - 232/3*n**3 + 8*n**2 + 841/3*n**4. Let p(u) = 0. What is u?
2/29
Factor 0 + 45/2*y**3 - 93*y**2 + 1/4*y**4 + 94*y.
y*(y - 2)**2*(y + 94)/4
Let w(l) be the first derivative of 0*l + 0*l**3 + 12 + 6*l**2 + 0*l**5 - 1/30*l**6 + 1/6*l**4. Let h(v) be the second derivative of w(v). Factor h(f).
-4*f*(f - 1)*(f + 1)
Let n(q) be the third derivative of -7/180*q**4 + 0 - 5*q + 10*q**2 - 1/225*q**5 - 4/45*q**3 + 1/900*q**6. Suppose n(g) = 0. What is g?
-1, 4
Factor -22*j**2 - 5/6*j**3 + 9 + 83/6*j.
-(j - 1)*(j + 27)*(5*j + 2)/6
Let m = 21 - 15. Suppose 5*o - m = 19. Factor -15 + 25*h + h**3 + 3*h**4 + 0*h**4 - 36*h**2 + 17*h + o*h**3.
3*(h - 1)**3*(h + 5)
Let r be (-75)/(-70)*7 + 126/(-21). Find v, given that 0 - 2*v - 1/4*v**3 + r*v**2 = 0.
0, 2, 4
What is g in -211/3*g - 212/3 + 1/3*g**2 = 0?
-1, 212
Let d(n) be the first derivative of n**3/27 + 28*n**2 + 1004*n/9 + 1789. Let d(a) = 0. Calculate a.
-502, -2
Suppose 26*v = -17*v - 19*v. Let r(s) be the second derivative of 0*s**3 - 1/5*s**6 + v*s**2 + 9/40*s**5 - 18*s + 1/8*s**4 + 0. Factor r(z).
-3*z**2*(z - 1)*(4*z + 1)/2
Suppose -367/9*n**2 - 91/9*n**3 + 82/9*n + 0 + 367/9*n**4 + n**5 = 0. What is n?
-41, -1, 0, 2/9, 1
Let c = 3612 + -46954/13. Factor 0 - c*g**4 + 18/13*g**3 + 0*g**2 + 0*g.
-2*g**3*(g - 9)/13
Suppose 6*w - 2*w = -132. Let x = w + 37. Determine l, given that 8*l + 2 + 58*l**2 - 2 + x*l**3 - 46*l**2 = 0.
-2, -1, 0
Let r(t) = -t**2 + 38*t. Suppose w + 2*m - 40 = 5*m, 4*m + 145 = 5*w. Let i(j) = 10*j**2 - 455*j. Let l(z) = w*r(z) + 2*i(z). Let l(g) = 0. What is g?
0, 8
Let b(p) = 27*p**2 + 40527*p - 120855. Let t(m) = m**2 + 1621*m - 4834. Let j(x) = -2*b(x) + 51*t(x). Let j(r) = 0. What is r?
3, 536
Let n(v) be the first derivative of -v**5/60 - 7*v**4/16 - 5*v**3/6 - 7*v**2 - 61. Let m(s) be the second derivative of n(s). What is r in m(r) = 0?
-10, -1/2
Let y(r) = -4*r**5 - 52*r**4 - 232*r**3 - 364*r**2 + 108*r + 536. Let h(z) = -z**2 - 1. Let f = -513 - -517. Let v(k) = f*h(k) - y(k). What is x in v(x) = 0?
-5, -3, 1
Let z(y) be the first derivative of -y**6/6 + 4*y**5/5 + 7*y**4/2 - 56*y**3/3 + 59*y**2/2 - 20*y - 5563. Factor z(w).
-(w - 5)*(w - 1)**3*(w + 4)
Let o(d) be the first derivative of -2*d**3/9 + 315*d**2 - 8090. Determine b so that o(b) = 0.
0, 945
Let s(j) be the second derivative of 0 + 2*j**3 + 25/2*j**2 + 0*j**4 - 1/20*j**5 + j. Let h(m) be the first derivative of s(m). Factor h(t).
-3*(t - 2)*(t + 2)
Let a = 1284104/55 + -256812/11. Factor -a*z**2 - 12 + 32/5*z.
-4*(z - 5)*(z - 3)/5
Let y(n) be the second derivative of 1/5*n**5 + 0*n**2 + 0 + 0*n**3 + n**4 - 194*n - 1/30*n**6. What is g in y(g) = 0?
-2, 0, 6
Factor -13*s**3 - s**4 + 4*s**2 + 4*s**2 + 0*s - 15*s**2 + 3*s + 18*s**3.
-s*(s - 3)*(s - 1)**2
Let 11/6*b**4 - 53/3*b**3 - 64/3 - 112/3*b + 52*b**2 = 0. Calculate b.
-4/11, 2, 4
Suppose -140*v + 121*v = -38. Let r(q) = q**2 - 24*q + 48. Let t(o) = -5*o**2 + 97*o - 192. Let c(b) = v*t(b) + 9*r(b). What is k in c(k) = 0?
-24, 2
Let r(y) be the first derivative of y**3/3 - 28*y**2 + 384*y + 1458. Factor r(v).
(v - 48)*(v - 8)
Let r = 1/24530 - -2/669. Let u(p) be the third derivative of 49/33*p**3 + 25*p**2 - 7/66*p**4 + 0*p + r*p**5 + 0. Find l, given that u(l) = 0.
7
Let -69692/5*y - 70756/5 - 4/5*y**3 + 212*y**2 = 0. Calculate y.
-1, 133
Let r(a) = a**4 + 67*a**3 + 866*a**2 + 1514*a + 726. Let y(w) = -2*w**4 - 66*w**3 - 866*w**2 - 1514*w - 728. Let i(h) = 4*r(h) + 3*y(h). Factor i(n).
-2*(n - 45)*(n + 1)**2*(n + 8)
Factor -264*w**4 + 530*w**4 + 8*w**2 - 269*w**4 - 2*w**2 + 6*w**2.
-3*w**2*(w - 2)*(w + 2)
Let y = 56637 + -56637. Let q be 24/13 - 4/(-26). Factor 20/9*p**q + 8/9*p**3 + y - 4/3*p.
4*p*(p + 3)*(2*p - 1)/9
Let g(r) = 830*r**2 + r + 6. Let y be g(-1). Factor 10 - 38 + 836*s**2 - 1673*s**2 - 30*s + y*s**2.
-2*(s + 1)*(s + 14)
Suppose 0 = -4*j - b - 4577, 7*j = 3*j - 3*b - 4571. Let o = 1147 + j. Determine r so that 0 - 12*r - 1/3*r**3 + 4*r**o = 0.
0, 6
Let j(u) be the third derivative of u**5/45 + 862*u**4/9 + 1486088*u**3/9 + 12*u**2 + 61*u. Determine f so that j(f) = 0.
-862
Let i(o) = -o + 35. Let x be i(-4). Let k be -54*(x/(-9) + 4). Factor 4*n**4 + 5*n - 26*n**3 + 4*n**2 - 5*n + k*n**3.
4*n**2*(n - 1)**2
Let c(u) be the first derivative of u**6/450 - 13*u**5/150 + 2*u**4/5 - 28*u**3/3 + 73. Let h(y) be the third derivative of c(y). Find m such that h(m) = 0.
1, 12
Let m(w) be the third derivative of -25*w**8/84 + 26*w**7/21 + 47*w**6/15 - 224*w**5/15 + 16*w**4 + 611*w**2. Determine k so that m(k) = 0.
-2, 0, 4/5, 3
Let t be 11/(-7) + 2/(-21)*-6. Let g be (-4)/(3 + t) - -4. Find h such that -8*h - 16/3 - 1/3*h**3 - 3*h**g = 0.
-4, -1
Suppose 2*l - 89 = -3*s, 0*s + 5*l - 114 = -4*s. Suppose -s*y**2 + 27*y**2 - 8*y**3 + 6*y**3 = 0. What is y?
-2, 0
Let b be (14/(-68))/((-160)/(-5568)). Let o = -81/17 - b. Determine q so that -o*q - 3/5*q**2 - 9/5 = 0.
-3, -1
Suppose -4*y - 15 = -3, 5*v = 2*y - 14. Let l be 3 - 1/((-20)/v - 6). Find o, given that -7/3*o + 4/3*o**l - 13/3*o**3 + 1/3 + 5*o**2 = 0.
1/4, 1
Suppose 3*n = -5*b + 24, 4*n - 1 - 23 = -4*b. Let d(v) be the first derivative of 1/6*v**b + v**2 + 1 + 0*v. Let d(x) = 0. What is x?
-4, 0
Let r(x) = -2*x**3 + 25*x**2 - 11*x - 4. Let n be r(12). Factor n*a**3 + 3*a**4 - 4*a - 36*a**5 - 9*a**4 + 36*a**4 + 18*a**4 - 16*a**2.
-4*a*(a - 1)**2*(3*a + 1)**2
Let z be (-222)/7 - -2 - (-22)/(-77). Let c(a) = -a**2 - 2*a + 1. Let d(o) = -35*o**2 - 15*o + 140. Let l(q) = z*c(q) + d(q). Factor l(x).
-5*(x - 11)*(x + 2)
Factor 62*b**4 + 170*b**3 + 55*b**4 + 5*b**5 + 101*b**4 + 80*b**3 + 37*b**4.
5*b**3*(b + 1)*(b + 50)
Factor 2707500*u + 90009682 + u**3 + 2850*u**2 + 1047124528 - 279759210.
(u + 950)**3
Factor -1/4*p**2 - 51984 + 228*p.
-(p - 456)**2/4
Let o(g) = 5*g**3 - 20*g**2 + 139*g - 124. Let n(p) = 12*p**3 - 38*p**2 + 276*p - 250. Let l(b) = 2*n(b) - 5*o(b). Solve l(f) = 0 for f.
1, 8, 15
Let h(w) = 4*w**2 + 101*w - 118. Let s(c) = -5*c**2 - 114*c + 116. Let v(r) = -6*h(r) - 5*s(r). Solve v(m) = 0 for m.
4, 32
Let z = -53 - -44. Let g be (-1 + -15)*z/18. Solve -8*a**2 + g + 12*a**3 - 7*a**3 - 9*a**3 + 4*a = 0 for a.
-2, -1, 1
Let s be (1497/(-738) - -2)*(-38 - -47). Let v = s + 1049/574. Suppose 2/7 + 9/7*r - v*r**2 = 0. What is r?
-2/11, 1
Suppose 363 = -5*a + j, 4*a = 3*j - 0*j - 286. Let n = 75 + a. Determine k so that -2/3*k - 8/9 + 2/9*k**n = 0.
-1, 4
Let f(u) be the third derivative of u**7/315 + u**6/15 + 37*u**5/90 + 7*u**4/6 + 16*u**3/9 + 2*u**2 + 6*u - 48. Factor f(s).
2*(s + 1)**2*(s + 2)*(s + 8)/3
Let d be (-2*7/(-56)*6)/(285/380). Factor -1/12*h**d + 7/6 - 13/12*h.
-(h - 1)*(h + 14)/12
Let g(n) be the first derivative of -3*n**5/5 + 3*n**4/4 + 6*n**3 - 6*n**2 - 24*n + 2302. Factor g(y).
-3*(y - 2)**2*(y + 1)*(y + 2)
Let q(o) be the third derivative of -7*o**5/90 - 55*o**4/72 + 2*o**3/9 + 30*o**2 + 7. Solve q(r) = 0 for r.
-4, 1/14
Let n(c) be the second derivative of -c**5/60 - 23*c**4/36 - 47*c**3/9 - 12*c**2 - 6*c - 16. Let n(y) = 0. What is y?
-18, -4, -1
Let i(t) be the second derivative of 0*t**2 + 0 + 0*t**5 - 1/1800*t**6 - 11/6*t**3 + 1/30*t**4 + 4*t. Let a(r) be the second derivative of i(r). Factor a(x).
-(x - 2)*(x + 2)/5
Let t = -30/47 - -9553/15040. Let n = 159/320 - t. Factor -1/2*q**2 - 1/4*q + 0*q**3 + 1/4*q**5 + n*q**4 + 0.
q*(q - 1)*(q + 1)**3/4
Let l(q) be the first derivative of 405*q**6 + 7317*q**5/5 + 1251*q**4 - 32*q**3 - 264*q**2 + 48*q - 863. Find f, given that l(f) = 0.
-2, -2/3, 1/10, 2/9
Let v(a) = 3*a**3 + 51*a**2 + 293*a + 210. Let p(k) = k**3 + 17*k**2 + 95*k + 69. Let c(n) = -21*p(n) + 6*v(n). Factor c(r).
-3*(r + 1)*(r + 7)*(r + 9)
Let n(o) be the third derivative of -o**6/540 + 13*o**5/54 - 94*o**4/9 + 656*o**3/3 + 2*o**2 - 24*o + 63. Factor n(t).
-2*(t - 41)*(t - 12)**2/9
Let l(n) be the third derivative of -n**7/420 + n**6/12 + 47*n**5/120 - 11*n**4/8 - n**2 + 34*n. Factor l(k).
-k*(k - 22)*(k - 1)*(k + 3)/2
Let f(s) be the third derivative of -s**6/120 + 7*s**5/15 - 15*s**4/2 - 136*s**2 - 24*s. What is r in f(r) = 0?
0, 10, 18
Let z(p) be the second derivative of p**4/4 - 121*p**3/2 - 183*p**2 + 380*p. Find l, given that z(l) = 0.
-1, 122
Suppose 5*j - 2*l = 0, -9 - 1 = -2*l. Let 32*y**j + 15*y - 36*y - 29*y + 24 - 4*y**3 - 2*y = 0. Calculate y.