u(p) = 26*p**2 - 2*p + 6. Let l(x) = x**2 + 2*x - 1. Let g(q) = o*u(q) - 36*l(q). Let g(n) = 0. Calculate n.
3/4, 4
Let a be (77/(-154))/(2/4)*(-10 + -44). Determine t, given that 3/2*t**4 + a*t**2 + 15*t**3 + 84*t + 48 = 0.
-4, -2
Let d(n) be the first derivative of n**6/6 - 21*n**5/5 + 143*n**4/4 - 335*n**3/3 + 500*n - 2823. Suppose d(c) = 0. Calculate c.
-1, 2, 5, 10
Let a = -215423/8 + 26928. Let a*d**2 + 15/4 + 17/8*d = 0. Calculate d.
-15, -2
Let c(n) = -4870*n - 63309. Let j be c(-13). Factor j - 1/6*k - 1/6*k**3 - 2/3*k**2.
-(k - 1)*(k + 2)*(k + 3)/6
Let u = -52081/7 + 52083/7. Factor -10/7*f**2 - u*f**3 + 16/7 - 4/7*f.
-2*(f - 1)*(f + 2)*(f + 4)/7
Let j(s) be the first derivative of 0*s + 4/3*s**3 - 7*s**2 - 1/6*s**4 + 10 - 1/15*s**5. Let a(c) be the second derivative of j(c). Suppose a(u) = 0. What is u?
-2, 1
Factor 1010*h + 86114 - 48297 + 5*h**2 + 390*h + 60183.
5*(h + 140)**2
Let y(f) be the second derivative of f**7/189 + 143*f**6/135 + 283*f**5/90 + 47*f**4/18 + 2*f + 456. Suppose y(v) = 0. Calculate v.
-141, -1, 0
Suppose 697*v + 144 = 721*v. Let k(h) be the second derivative of 34*h + 5/24*h**4 - 5/4*h**v + 0*h**2 + 0 + 5/6*h**3 - 2*h**5. Suppose k(i) = 0. Calculate i.
-1, -2/5, 0, 1/3
Let v(p) be the first derivative of -p**4/10 - 32*p**3/15 + 19*p**2/5 + 68*p/5 + 1402. Solve v(o) = 0 for o.
-17, -1, 2
Suppose -24*n + 1655 = -2*l - 19*n, 3*l = -2*n - 2454. Let f = -816 - l. Find b such that 8/3*b**3 + 44/9*b**2 + 98/9 + 2/9*b**f - 56/3*b = 0.
-7, 1
Factor 816 + 926*q - 134003654*q**2 - 52*q + q**3 + 134003713*q**2.
(q + 1)*(q + 24)*(q + 34)
Suppose 283*p = 281*p + 16, 5*r + 40 = 5*p. Find g, given that -1/4*g**3 - 5/4*g**2 - g + r = 0.
-4, -1, 0
Let s(a) = -9*a**3 + 24*a**2 - 15*a - 6. Let m(f) = -26*f**3 + 71*f**2 - 47*f - 17. Suppose 0 = -27*i + 178 - 16. Let g(d) = i*m(d) - 17*s(d). Factor g(w).
-3*w*(w - 3)**2
Let y be 13*(-12)/(-36) - -2*(-1)/6. Let u(w) be the first derivative of 1/8*w**4 + 0*w + 1/6*w**3 - 1/10*w**5 + y - 1/4*w**2. Suppose u(a) = 0. Calculate a.
-1, 0, 1
Let w(j) be the third derivative of -1/480*j**5 - 23*j**2 + 0*j**3 + 1/960*j**6 - j + 0*j**4 + 0. Suppose w(s) = 0. Calculate s.
0, 1
Determine v, given that -105*v**3 + 510*v**2 - 520*v - 5*v**4 + 38*v**3 - 93*v**3 + 175 = 0.
-35, 1
Let f = -386901 - -2703202/7. Let j = 731 + f. What is p in -6/7*p**2 + 24/7 + j*p - 3/7*p**3 = 0?
-2, 2
Let x(v) be the first derivative of 3*v**4/8 + 9*v**3/2 + 15*v**2 - 8345. Factor x(r).
3*r*(r + 4)*(r + 5)/2
Suppose 2*a = -2*n + 12, -4*n - 48 = -5*a - 3*n. Find b such that -6*b - 5*b - 8*b + 2*b**2 + a*b = 0.
0, 5
Let f(z) be the first derivative of z**8/5880 - z**7/2940 - z**6/630 + z**3/3 + 31*z + 17. Let t(a) be the third derivative of f(a). Let t(j) = 0. What is j?
-1, 0, 2
Let q(k) = -7*k**2 + 4*k + 6. Let j(p) = -4*p**2 + 2*p + 3. Let m be ((-18)/(-10))/(87/290). Let o(d) = m*q(d) - 10*j(d). Factor o(l).
-2*(l - 3)*(l + 1)
Let d = -345 - -930. Let w = 587 - d. Determine i, given that -49/5 - 1/5*i**w + 14/5*i = 0.
7
Suppose 0 = -13*a + 17*a. Suppose -2*r = 2*f - a - 14, -4*f = -5*r + 17. Solve f*g**2 + 0*g**2 - 4*g + 6 - g**2 - 2 = 0.
2
Factor 27*q - 6*q**2 - 28 - 1/4*q**3.
-(q - 2)**2*(q + 28)/4
Let p be (-50)/4*(-46)/1380. Let r(z) be the second derivative of 5/6*z**2 + 5/72*z**4 + 16*z + p*z**3 + 0. Factor r(s).
5*(s + 1)*(s + 2)/6
Let p(k) = -3*k**3 + 355*k**2 + 949*k + 22. Let s(v) = -v**3 + 89*v**2 + 237*v + 6. Let m(j) = -6*p(j) + 22*s(j). Factor m(a).
-4*a*(a + 3)*(a + 40)
Suppose i - 4*d - 19 = -d, 0 = -3*i + 3*d + 39. Let s be (-1 + 9/i)*(-5 + -49). Factor 0 + 48/5*g**2 - 12/5*g + s*g**3.
3*g*(g + 2)*(9*g - 2)/5
Let b(z) = z**2 + 2*z. Let j(a) = 5*a**3 - 166*a**2 + 1268*a. Suppose 1 = 7*x + 8. Let d(s) = x*j(s) - 6*b(s). What is m in d(m) = 0?
0, 16
Let j = 34292 + -34290. Factor -66*l - 3/4*l**j - 1452.
-3*(l + 44)**2/4
Let i be (-9)/(-60) + (-2391)/(-3985). Factor 0*n + 3*n**3 + 0 - 9/4*n**4 + 0*n**2 - i*n**5.
-3*n**3*(n - 1)*(n + 4)/4
Let t be (-8)/72*(-5 + 572/112). Let x = 1789/252 - t. Find z, given that -700/9*z**4 + 196/9*z**5 + 736/9*z**2 + x + 352/9*z**3 - 448/9*z = 0.
-1, 2/7, 2
Let x(s) be the first derivative of s**4/4 - 239*s**3/9 - 41*s**2/3 + 160*s/3 + 1351. Factor x(i).
(i - 80)*(i + 1)*(3*i - 2)/3
Suppose 0*t - 1/3*t**4 - 112/3*t**2 - 23/3*t**3 + 0 = 0. What is t?
-16, -7, 0
Let i(u) = 188*u**4 - 1171*u**3 - 60*u**2 + 84*u + 12. Let m(w) = 113*w**4 - 703*w**3 - 36*w**2 + 52*w + 7. Let j(s) = -7*i(s) + 12*m(s). Factor j(x).
x*(x - 6)*(5*x + 2)*(8*x - 3)
Factor 5*b**2 - 25*b**3 - 26*b**3 - 60*b**2 + 8*b + 16*b**3 - 28*b.
-5*b*(b + 1)*(7*b + 4)
Let d(v) be the second derivative of -69*v - 16*v**2 + 0 - 5/3*v**4 - 44/3*v**3. Determine a so that d(a) = 0.
-4, -2/5
Let x(k) = -82*k**2 + 635*k + 1105. Let c(s) = -29*s**2 + 212*s + 366. Let a(i) = 17*c(i) - 6*x(i). Factor a(v).
-(v + 2)*(v + 204)
Let g = -2 + 5. Suppose -4*d + 2 = -g*d. Solve d - 2*h**2 - 3 + h**2 - 4*h - 2 = 0.
-3, -1
Let b(j) = -2*j + 36. Let l(i) = -2*i - 1. Let d(p) = b(p) + 6*l(p). Let x(s) = -s**2 - 13*s + 29. Let v(m) = 3*d(m) - 2*x(m). Factor v(y).
2*(y - 4)**2
Let h(g) = -70*g + 3290. Let q be h(47). Let c(d) be the first derivative of 17 + q*d - d**2 + 1/3*d**3. Solve c(n) = 0 for n.
0, 2
Let c(a) = -3*a**3 + a**2 - a + 1. Let r(q) = -2*q + 7*q**3 - 59*q**2 - 2 + 57*q**2 + 0*q. Let s(z) = -6*c(z) - 3*r(z). Find u, given that s(u) = 0.
-2, 0, 2
Factor -1/4*c**3 + 0 + 0*c + 551/4*c**2.
-c**2*(c - 551)/4
Let v(p) be the first derivative of -p**4/42 + 2*p**3/7 - 9*p**2/7 - 100*p + 266. Let l(i) be the first derivative of v(i). Factor l(f).
-2*(f - 3)**2/7
Suppose -62*v - 20*v = 33*v + 168*v. Factor -6/17*x**4 + 2/17*x**5 + 6/17*x**3 + v*x + 0 - 2/17*x**2.
2*x**2*(x - 1)**3/17
Let b(o) be the first derivative of 3*o**4/8 + 20*o**3/3 + 107*o**2/4 - 45*o - 1530. Find s such that b(s) = 0.
-9, -5, 2/3
Solve -893/2*o - 5/2*o**2 + 179 = 0.
-179, 2/5
Let t(l) be the second derivative of l**5/5 + 2*l**4/3 - 128*l**3/3 - 256*l**2 + 1888*l. Solve t(u) = 0 for u.
-8, -2, 8
Let l = 6418 + -6411. Let q(r) be the third derivative of 1/12*r**6 - 20*r**2 - 5/24*r**4 + 0 - 5/336*r**8 - 1/6*r**5 + 1/42*r**l + 0*r + 5/6*r**3. Factor q(j).
-5*(j - 1)**3*(j + 1)**2
Let x(t) be the third derivative of -31*t**2 + 0 + 0*t**3 - 1/60*t**5 - 3/4*t**4 + 0*t. Factor x(l).
-l*(l + 18)
Let c = 6323/10 - 6299/10. Let 4/5*l + 16/5*l**2 - c = 0. Calculate l.
-1, 3/4
Let x(r) be the first derivative of -r**5/20 + 4*r**4 - 128*r**3 + r**2/2 - 18*r + 75. Let n(p) be the second derivative of x(p). Find m, given that n(m) = 0.
16
Let i(w) be the second derivative of -9*w**4/4 + 31*w**3 + 21*w**2/2 - 726*w. Factor i(p).
-3*(p - 7)*(9*p + 1)
Let o(v) be the first derivative of v**6/6 + 78*v**5/5 - v**4/2 - 52*v**3 + v**2/2 + 78*v + 77. Find r such that o(r) = 0.
-78, -1, 1
Let 3*a + 54/7*a**2 - 18/7 + 15/7*a**3 = 0. What is a?
-3, -1, 2/5
Factor -2*z**3 + 254089767 + 627332395 - 290931*z - 1009297*z + 4566*z**2 - 510176*z - 1664322*z.
-2*(z - 761)**3
Let n = 166871240/463333 + -6/35641. Let o = n + -360. Suppose 2/13 + o*r**2 + 4/13*r = 0. What is r?
-1
Suppose -2*w + 2 = -2*u, 2367*w - 2365*w - 5*u + 1 = 0. What is h in -27/2*h**4 + 3*h + 3*h**5 - 27/2*h**w + 0 + 21*h**3 = 0?
0, 1/2, 1, 2
Suppose 0 = -m - 5*l + 39, -7*m - 3*l + 37 = -3*m. Let h(c) be the first derivative of -3/8*c**2 + 0*c - 1/16*c**m + 7 - 1/20*c**5 + 5/12*c**3. Factor h(p).
-p*(p - 1)**2*(p + 3)/4
Let d(g) be the third derivative of -1/588*g**8 + 1/105*g**6 + 0*g + 0*g**3 - g**2 + 8/735*g**7 - 3/14*g**4 - 4/35*g**5 + 0. Factor d(c).
-4*c*(c - 3)**2*(c + 1)**2/7
Let f(k) = -8*k**2 - 2366*k + 20. Let y(m) = 7*m**2 + 2371*m - 16. Let o(n) = -4*f(n) - 5*y(n). Suppose o(v) = 0. What is v?
-797, 0
Let s = -93165 + 93169. Let -28/11 + 26/11*g**2 - 18/11*g + 18/11*g**3 + 2/11*g**s = 0. What is g?
-7, -2, -1, 1
Let o(w) be the third derivative of -1/300*w**6 + 0*w - 2/25*w**5 + 0 - 10/3*w**3 + 134*w**2 - 3/4*w**4. Factor o(x).
-2*(x + 2)*(x + 5)**2/5
Find p such that -32 + 32 + p**2 + 6*p - 7734*p**3 + 40*p**4 + 7652*p**3 = 0.
-1/4, 0, 3/10, 2
Suppose -66*z + n + 2 = -63*z, 72 = 4*z + 4*n. Factor 5/2*p + 1/4*p**z - 27/4*p**2 - 9/4*p**4 + 0 + 25/4*p**3.
p*(p - 5)*(p - 2)*(p - 1)**2/4
Let u = 8