pose 58*d - 124*d = -39*d - 46*d. Find x, given that 28/3*x**2 + 8*x + 0*x**3 + d - 4/3*x**4 = 0.
-2, -1, 0, 3
Let r = 1758 + -1755. Suppose -r*h - 19 + 16 = 3*d, -4*d - 18 = -3*h. Factor -4/3*m**h + 0 - 8/3*m.
-4*m*(m + 2)/3
Suppose -59*v = -66*v + 14. What is p in 5*p - 21*p**v + 34*p**3 + p + 4457*p**4 - 11*p**2 - 4465*p**4 = 0?
0, 1/4, 1, 3
Let w be (102 - 104)*(-5)/((-60)/(-9)). Factor 4*y**2 + 3/2*y + w*y**3 - 1.
(y + 1)*(y + 2)*(3*y - 1)/2
Let i(y) = -5*y**3 + 584*y**2 - 603*y + 8. Let f(m) = -3*m**3 + 390*m**2 - 402*m + 5. Let x(c) = 8*f(c) - 5*i(c). Factor x(s).
s*(s - 1)*(s + 201)
Let i(b) be the second derivative of 2/9*b**3 - 274*b + 2/9*b**7 + 0 + 0*b**2 + 17/15*b**6 + 7/6*b**4 + 28/15*b**5. Suppose i(p) = 0. Calculate p.
-2, -1, -1/2, -1/7, 0
Let u(t) = -3*t**2 + 1606*t + 36. Let b(i) = 2*i**2 - 1604*i - 54. Let c(l) = 2*b(l) + 3*u(l). Factor c(h).
-5*h*(h - 322)
Suppose 4 = 2*d - 2*a, 5*d + 5*a = -0*d + 30. Solve -32 - 10*t**3 + 2*t**5 + 32*t**2 + 0*t**4 - 6*t**d + 2*t**3 = 0.
-2, -1, 2
Let i(s) be the second derivative of -5*s**7/294 + 11*s**6/105 - 23*s**5/140 - s**4/6 + 2*s**3/3 - 4*s**2/7 - 576*s. Let i(l) = 0. What is l?
-1, 2/5, 1, 2
Let v(j) be the third derivative of -2*j**5/3 - 25*j**4/12 + 55*j**3/2 - 896*j**2. Factor v(s).
-5*(2*s - 3)*(4*s + 11)
Let f be -8 - 189/(-14) - (-1)/(-2). Let d(r) be the second derivative of 0 + 9/2*r**3 - 3/4*r**4 + 8*r - 15/2*r**2 - 3/20*r**f. What is i in d(i) = 0?
-5, 1
Let 567/4 - 142*h + 1/4*h**2 = 0. What is h?
1, 567
Let r(s) be the third derivative of s**6/144 + 5*s**5/36 + 85*s**4/144 - 35*s**3/9 + 2*s**2 + 6835*s. Find a such that r(a) = 0.
-7, -4, 1
Let i be -867*(-12)/42*(-399)/27. Let g = 3694 + i. Factor -4/3*l**2 - g + 40/3*l.
-4*(l - 5)**2/3
Let t(k) be the first derivative of -k**3 - 1/5*k**5 + 80 + 4*k + k**4 - 2*k**2. Suppose t(n) = 0. Calculate n.
-1, 1, 2
Let q(b) be the second derivative of 0 + 1/4*b**4 + 5/2*b**3 + 62*b + 0*b**2. Factor q(a).
3*a*(a + 5)
Suppose 0 = -5*n - 5, -3*t = -8*t + 2*n - 23. Let i(h) = h**3 + 7*h**2 + 11*h + 9. Let p be i(t). Factor 23*z**3 - 5*z**3 - z**p + 4*z**4.
3*z**3*(z + 6)
Let n(b) be the third derivative of 16/3*b**3 - 2*b + 2/5*b**5 - 2*b**4 - 1/30*b**6 + 0 + 20*b**2. Factor n(k).
-4*(k - 2)**3
Let q be (-169)/910 - 14/(-49). Let t(j) be the second derivative of -1/60*j**4 + 1/75*j**6 - q*j**2 + 0 - 1/10*j**3 + 3/100*j**5 - 3*j. Factor t(h).
(h - 1)*(h + 1)**2*(2*h + 1)/5
Let f(n) = -5*n**3 + 61*n**2 + 256*n + 294. Let b(j) = -5*j**3 + 62*j**2 + 252*j + 293. Let h(s) = -6*b(s) + 7*f(s). Factor h(q).
-5*(q - 15)*(q + 2)**2
Suppose -6*m = -12 - 6. Suppose -5*u + 61 = m*v, 0*v = -3*u - 3*v + 33. Suppose 2*j**3 - u*j**2 - j**3 + 8*j**2 + 8*j**2 = 0. What is j?
-2, 0
Suppose 3*p**3 - 354/5*p**2 + 837/5*p - 378/5 = 0. Calculate p.
3/5, 2, 21
Suppose -3*p + 10 = 5*h, 4*p - 17 = h - 4*h. Let z be (5 - 0)*1*83. Factor -z*j - j**p + 415*j + j**4.
-j**4*(j - 1)
What is q in -1080*q**3 + 10*q**4 + 7*q**4 - 265*q - 2*q**4 + 9*q**4 - 4*q**4 + 1065*q**2 = 0?
0, 1/2, 53
Suppose 81*a - 315 = 9. Let t(n) be the second derivative of 7/2*n**3 - 9/2*n**2 + 3/20*n**5 - 6*n + 0 - 5/4*n**a. What is s in t(s) = 0?
1, 3
Let d(f) be the first derivative of 53*f**4 + 284*f**3 + 8*f**2 - 2970. Factor d(m).
4*m*(m + 4)*(53*m + 1)
Let v = 79568 + -79565. What is n in 0 - 5/4*n**5 - 25/4*n**4 + 15/2*n**v - 40*n + 40*n**2 = 0?
-4, 0, 1, 2
Let f(h) = 63*h**2 + 195*h + 78. Let o(n) = -7 - 5*n - 9*n**2 - 4 - 23*n. Let p be 1/(70/(-30))*63. Let q(j) = p*o(j) - 4*f(j). Factor q(z).
-3*(z + 1)*(3*z + 5)
Let b(h) be the first derivative of 3/4*h**2 - 13/24*h**3 - 1/40*h**5 - 88 - 1/2*h + 3/16*h**4. Factor b(j).
-(j - 2)**2*(j - 1)**2/8
Let z(c) be the third derivative of 1/180*c**6 + 7/15*c**5 + 0 + 0*c + 40/3*c**4 + 181*c**2 + 800/9*c**3. Factor z(q).
2*(q + 2)*(q + 20)**2/3
Suppose 0 = 2*d + 8 - 12. Suppose 3*r - c = 6, 0 = 3*r + d*r + c - 10. Find t such that -8*t + 7 + 50*t**3 + 794*t**2 + 1 - 844*t**r = 0.
-2/5, 2/5, 1
Let a = -18733/3 - -6255. Let j(p) be the third derivative of 0*p + 0 + 1/60*p**5 + 25*p**2 + 2/3*p**4 + a*p**3. Factor j(g).
(g + 8)**2
Let l be 3*(-4)/(-6)*(-669 - -670). Factor -2/15*u + 2/15*u**3 + 2/15 - 2/15*u**l.
2*(u - 1)**2*(u + 1)/15
Let l(x) be the first derivative of -4*x**5/45 - x**4/9 + 904*x**3/27 - 448*x**2/9 - 406. What is w in l(w) = 0?
-16, 0, 1, 14
Let b be 8/12*9/(-6). Let r be b - 4 - (-9)/(27/15). Find k such that r + 1/5*k**2 + 3/5*k**5 - 1/5*k**4 - k**3 + 2/5*k = 0.
-1, -2/3, 0, 1
Suppose 12*x = 20*x - 432. Factor -25 - 8*p - 28 + x - p**2 + 17*p**2.
(4*p - 1)**2
Let i be (-1836)/(-459)*(0/(-2) - -2) + -6. Let 1/6*d**4 - 1/2*d**3 + 0 + 1/2*d - 1/6*d**i = 0. What is d?
-1, 0, 1, 3
Let u(s) be the first derivative of s**8/560 - s**7/280 - s**6/30 + s**5/10 + 92*s**3/3 - 134. Let x(v) be the third derivative of u(v). Solve x(b) = 0.
-2, 0, 1, 2
Let l be 2170/930 - (0 - (-4)/(13 + -1)). Suppose 44/5*z + 4/5*z**l + 72/5 = 0. Calculate z.
-9, -2
Let s be (-10 + 1421/140)*152. Let l = -203/10 + s. Factor 0 - l*h**3 - 5/4*h**5 + 0*h + 0*h**2 - 15/4*h**4.
-5*h**3*(h + 1)*(h + 2)/4
Let z be (-616)/(-32) - (21 - (41 - 39)). Find y, given that 5*y - 21/4 + z*y**2 = 0.
-21, 1
Let v = 315506 + -1893035/6. Determine n, given that 50/3 + v*n**2 + 10/3*n = 0.
-10
Determine r so that 107/3*r - 36 + 1/3*r**2 = 0.
-108, 1
Let b(t) be the second derivative of -t**6/6 - 175*t**5/4 + 220*t**4/3 - 4742*t - 1. Factor b(m).
-5*m**2*(m - 1)*(m + 176)
Let z(p) be the first derivative of -p**6/1320 + p**5/60 + 55*p**2/2 - 26. Let u(c) be the second derivative of z(c). Factor u(v).
-v**2*(v - 11)/11
Let t = 266891/114369 + -10/38123. Factor -t*o + 0 - 1/6*o**2.
-o*(o + 14)/6
Let v be 1*-2*(-2)/8. Let o(x) = 11*x**3 + 55*x**2 + 40*x + 202. Let s be o(-5). Find g such that 3/4 + v*g - 1/4*g**s = 0.
-1, 3
Let g(z) be the first derivative of z**4/5 + 68*z**3/15 + 124*z**2/5 - 64*z + 3055. Factor g(q).
4*(q - 1)*(q + 8)*(q + 10)/5
Let p = -34752 + 34752. Let l(m) be the third derivative of 1/20*m**6 - 1/4*m**4 + 0*m - 1/70*m**7 + p + 1/2*m**3 + 9*m**2 + 0*m**5. Factor l(n).
-3*(n - 1)**3*(n + 1)
Suppose 2*g - 2*i - 2 = 0, 0*i = 2*g + 4*i - 20. Suppose 207*m + 247*m + 80*m**2 + 72 - 602*m - g*m**3 = 0. What is m?
1, 18
Factor -407*x + 1053*x + 1134*x - 2150*x**2 - 125*x**3 - 222 + 89 - 227.
-5*(x + 18)*(5*x - 2)**2
Let o(u) be the second derivative of -1/6*u**4 - 2*u**2 - 2 + u**3 - 21*u. Determine y so that o(y) = 0.
1, 2
Let f(w) be the third derivative of 0*w - 19/3*w**3 - 1/960*w**6 - 19*w**2 + 0 + 1/96*w**4 - 1/960*w**5. Let k(j) be the first derivative of f(j). Factor k(o).
-(o + 1)*(3*o - 2)/8
Let z(n) be the second derivative of -n**4/36 - 41*n**3/9 + 83*n**2/6 + 1127*n. Determine c so that z(c) = 0.
-83, 1
Suppose 43 = 4*y + x - 6*x, 16 = y + 4*x. Let l be ((-92)/(-10))/(y/30). Factor 21*j**2 + l*j + 22*j**2 - 5*j - 27 - 46*j**2.
-3*(j - 3)**2
Let q(x) be the first derivative of -10/9*x**3 + 177 - 11/6*x**2 + 0*x + 1/12*x**4. Let q(v) = 0. What is v?
-1, 0, 11
Let m(n) be the first derivative of n**5/20 + 67*n**4/8 - 409*n**3/12 + 137*n**2/4 + 4778. Suppose m(c) = 0. Calculate c.
-137, 0, 1, 2
Let n(p) be the third derivative of 11/140*p**7 - 3/224*p**8 + 1/40*p**5 + 1/8*p**4 + 0*p**3 + 4*p**2 - 9*p - 11/80*p**6 + 0. Let n(r) = 0. What is r?
-1/3, 0, 1, 2
Let w(b) be the first derivative of b**5/10 - b**4/2 - 3*b**3 - 5*b**2 - 233*b - 268. Let c(i) be the first derivative of w(i). Factor c(v).
2*(v - 5)*(v + 1)**2
Let j(r) be the first derivative of r**5 + 35*r**4/2 + 100*r**3 + 125*r**2 - 625*r + 670. Solve j(f) = 0.
-5, 1
Let d(r) be the third derivative of 0*r**5 + 1/120*r**6 + 0*r + 0 + 0*r**3 + 0*r**4 - 1/175*r**7 + 1/1680*r**8 + 246*r**2. Let d(p) = 0. Calculate p.
0, 1, 5
Factor 117*g + 4*g**3 - 3*g**3 - 90*g**2 + 4*g**3 + 47*g + 316*g - 800.
5*(g - 10)*(g - 4)**2
Let l(b) = 2*b**2 - 37*b - 79. Let q(m) = -m - 1. Let u(a) = -l(a) + 3*q(a). Factor u(h).
-2*(h - 19)*(h + 2)
Let d(k) be the third derivative of k**6/780 + 509*k**5/390 + 16256*k**4/39 + 64516*k**3/39 + 2747*k**2. Let d(m) = 0. What is m?
-254, -1
Suppose -2*l - 2*l = -5*p - 73, p = -4*l + 43. Find f such that -5 - 20*f**3 - 4*f**2 + l*f**2 + 20*f - 3*f**2 = 0.
-1, 1/4, 1
Let w be 