5*(y - 1)**2*(y + 1)*(y + 36)
Let b(z) = -56*z**4 - 44*z**3 + 64*z**2 - 24*z - 20. Let p(l) = -3*l**4 - l**3 + l**2 - 1. Let y(m) = b(m) - 20*p(m). Factor y(h).
4*h*(h - 3)*(h - 2)*(h - 1)
Let y(t) be the second derivative of t**4/60 - 439*t**3/15 + 192721*t**2/10 - 364*t. Factor y(m).
(m - 439)**2/5
Let k(n) be the third derivative of 1/140*n**5 - 5/2*n**3 - 309*n**2 + 17/28*n**4 + 0*n + 0. Factor k(o).
3*(o - 1)*(o + 35)/7
Suppose 0 = -327*c + 331*c + 8, -4*n + 6 = -3*c. Let x(t) be the first derivative of -2 + n*t + 3/28*t**4 + 3/7*t**3 + 3/7*t**2. Solve x(i) = 0.
-2, -1, 0
Let m be 4/(-10)*-3*(12 + 3)/180. Let o(h) be the second derivative of m*h**5 + 21*h + 1/6*h**4 + 0*h**2 + 0*h**3 + 0. Factor o(v).
2*v**2*(v + 1)
What is l in -5*l**2 + 525 - 20*l + 244*l + 296*l = 0?
-1, 105
Let t be 4 + -2*(-470)/1200*-5. Let a(p) be the first derivative of 0*p + 4 - 9/8*p**4 - t*p**6 + 7/6*p**3 - 1/2*p**2 + 1/2*p**5. Solve a(w) = 0.
0, 1, 2
Suppose -4*o + 5*q + 10 = 0, -q - 22 - 1 = -5*o. Solve -135*k**3 - 44*k + 0*k**2 + 16*k - 125*k**2 - 55*k**4 - 5*k**o - 12*k = 0 for k.
-8, -1, 0
Let a(u) = -11 + 2 + u**2 - 4 + 5 - 10*u. Let d be a(11). Factor 2/7*t - 2/7*t**d - 2/7 + 2/7*t**2.
-2*(t - 1)**2*(t + 1)/7
Let d be -1 + 6/1 - 2/1. Determine f so that d*f**2 + 5540 - 456*f + f**2 + 7456 = 0.
57
Let y(z) = -285*z - 45. Let n be y(7). Let f = n + 8229/4. Let 3/4*k**3 + 9 - f*k + 15/2*k**2 = 0. What is k?
-12, 1
Let k(j) = 11*j - 28. Let d(m) = -13*m + 27. Let h(o) = -4*d(o) - 5*k(o). Let p be h(10). Factor 45*l**2 - 147 + 14*l - 94*l**p + 46*l**2 + 28*l.
-3*(l - 7)**2
Let c(m) = -20*m**3 + m**2 + 2*m + 1. Let z be c(-1). Let k = z - 18. Factor -73*s - 14*s + 17*s - 126*s**k - 5 - 119*s**2.
-5*(7*s + 1)**2
Let h be 18/234 - (((-21)/156)/((-3)/24) + -3). Factor 27/7*u**h - 12/7*u - 18/7*u**3 + 0 + 3/7*u**4.
3*u*(u - 4)*(u - 1)**2/7
Find w such that -11 + 1179 + 334979*w**2 - 100*w**3 - 327759*w**2 + 5824*w = 0.
-2/5, 73
Let u(m) be the second derivative of -5*m**7/42 - 3*m**6 - 47*m**5/4 - 25*m**4/2 + m + 9. What is w in u(w) = 0?
-15, -2, -1, 0
Factor -153/4*t**3 - 207/2*t**2 - 123*t - 21/4*t**4 - 54.
-3*(t + 2)**3*(7*t + 9)/4
Factor -6*x - 28/17*x**2 + 0 + 2/17*x**3.
2*x*(x - 17)*(x + 3)/17
Let o = -1/24733 - -74209/247330. Let h(a) be the second derivative of -o*a**6 + 3/10*a**5 + 2*a + 3/2*a**2 - 3/2*a**3 - 5 + 1/14*a**7 + 1/2*a**4. Factor h(m).
3*(m - 1)**4*(m + 1)
Let h(z) = z**3 + 37*z**2 + 32*z + 274. Let s be h(-36). Let y = s - 415. Find q such that -10/3*q**2 + 0 - 5*q + 5/3*q**y = 0.
-1, 0, 3
Let n(w) be the first derivative of -2*w**5/35 - 15*w**4/14 + 26*w**3/7 + 79*w**2/7 - 204*w/7 + 83. Let n(d) = 0. Calculate d.
-17, -2, 1, 3
Factor 3264 + 3*c**2 - 20*c + 8*c + 312*c + 4236.
3*(c + 50)**2
Let f(h) be the second derivative of 1/90*h**4 - 16/15*h**2 + 0 + 1/3*h**3 - 58*h. Solve f(t) = 0.
-16, 1
Let f = -195035 + 195038. Suppose 0 + 0*o**2 - 2/11*o**f + 2/11*o = 0. Calculate o.
-1, 0, 1
Suppose 0 = -u - 4*d + 21, 3*u = 3*d - 0*d + 3. Suppose 5*o = -6*m + 10*m, 0 = -u*m. Factor 2/9*s**5 + 2/9*s + 0 + o*s**2 - 4/9*s**3 + 0*s**4.
2*s*(s - 1)**2*(s + 1)**2/9
Let t(x) = -56*x**3 + 534*x**2 - 910*x - 302. Let h(p) = -19*p**3 + 177*p**2 - 305*p - 101. Let a(r) = -14*h(r) + 5*t(r). Factor a(q).
-2*(q - 12)*(q - 2)*(7*q + 2)
Let b be 2/14 + (-5)/35. Let t(u) = -u**3 - 24*u**2 - 26*u - 24. Let i be t(-23). Determine k so that -3 - i*k**2 + b + 48*k**2 = 0.
-1, 1
Let f = -338 - -346. Let c be 2/3 - (-4 + 3)*f. Factor -4 - c*q + 10/3*q**2.
2*(q - 3)*(5*q + 2)/3
Suppose -3/4*z**3 + 63/4*z**2 + 0 + 33/2*z = 0. Calculate z.
-1, 0, 22
Let r(n) = 47*n + 22. Let c be r(6). Factor -3*t + 303*t**2 - 10*t - c*t**2.
-t*(t + 13)
Let s be (-7)/(-18)*420/980. Let k(c) be the first derivative of 1/9*c**3 + 1/36*c**4 + 30 + s*c**2 + 1/9*c. Determine h, given that k(h) = 0.
-1
Factor -2172*i**2 - 295*i**4 - 2450 - 247*i**4 + 540*i**4 + 667*i + 4093*i - 136*i**3.
-2*(i - 1)**2*(i + 35)**2
Let h(u) be the second derivative of -u**5/10 + 68*u**4/3 - 3700*u**3/3 - 65712*u**2 - 43*u - 68. Factor h(m).
-2*(m - 74)**2*(m + 12)
Suppose 9*l - 4*l - 10 = 0. Suppose 15*o**4 - 96*o**3 - 32*o + 5*o**4 + 98 - 110 + 157*o**l - 37*o**2 = 0. What is o?
-1/5, 1, 3
Let x be (1860/21)/((-14)/(-49)). Factor -990 - 67 - x*q - 5*q**2 - 3748.
-5*(q + 31)**2
Let m(x) be the first derivative of x**3/3 + 2930*x**2 + 8584900*x + 6458. Factor m(k).
(k + 2930)**2
Let -77/2*x**4 + 0 + 79/6*x**2 + 49/6*x**5 + 75/2*x**3 + x = 0. Calculate x.
-1/7, 0, 2, 3
Let r(n) be the third derivative of n**6/30 + 86*n**5/15 + 880*n**4/3 - 7744*n**3/3 - 2*n**2 - 879*n. Factor r(d).
4*(d - 2)*(d + 44)**2
Factor -4617*o + 479*o**2 + 121*o**2 + 642*o**2 + o**5 + o**3 + 7*o**3 + 0*o**5 - 5832 - 18*o**4.
(o - 9)**3*(o + 1)*(o + 8)
Let f(o) be the third derivative of 2/105*o**7 + 0 + 6*o - 1/5*o**6 + o**4 - 5*o**2 - 6*o**3 + 8/15*o**5. Suppose f(w) = 0. What is w?
-1, 1, 3
Let y(o) = 5*o**3 + 1135*o**2 + 64969*o + 63845. Let r(h) = 70*h**3 + 15890*h**2 + 909565*h + 893830. Let l(u) = 6*r(u) - 85*y(u). Determine c so that l(c) = 0.
-113, -1
Suppose 4*n - 2*m = -10, -5*n - 1984*m = -1988*m + 26. Factor 2*r**4 + 1/2*r**5 + 0 + 3/2*r**3 - n*r**2 - 2*r.
r*(r - 1)*(r + 1)*(r + 2)**2/2
Suppose 0 = -8*k + 49 - 17. Suppose 0 = 5*o + 2*r - 27, k*r - 3 = r. Solve 8*c**3 + 3*c**2 + 3*c**4 + o*c**2 + 12*c**3 + 9*c**4 = 0.
-1, -2/3, 0
Let i(y) = -42 + 39*y - 37 + 8 - 16 + 14. Let a be i(2). Factor -25/2*b + a*b**2 + 15/2.
5*(b - 1)*(2*b - 3)/2
Let z be 14/6*(-486)/(-189). Let d(q) be the second derivative of -8/3*q**2 - 4/9*q**3 - z*q - 1/36*q**4 + 0. Factor d(m).
-(m + 4)**2/3
Factor 68/13*a - 2/13*a**3 + 30/13*a**2 + 0.
-2*a*(a - 17)*(a + 2)/13
Let k(r) = -r**2 + 39*r - 95. Let l be k(40). Let d be -30 + 27 + l/(-39). Factor d*c - 2/13*c**2 - 4/13.
-2*(c - 2)*(c - 1)/13
Let j be ((-60)/(-50))/(2/15). Let m be 134/j + (-29)/(-261). Find i, given that -6*i - 36*i**3 - 858 + m*i**4 + 27*i**2 + 858 = 0.
0, 2/5, 1
Let y = -7114 - -7114. Let p(a) be the second derivative of -2/3*a**3 - 1/7*a**2 + y - 7/6*a**4 - 15*a. Determine m, given that p(m) = 0.
-1/7
Let m(h) = -4*h**3 + 54*h**2 - 12*h - 302. Let q(n) = -n**3 + n**2 - 8*n + 2. Let o(u) = -m(u) - q(u). Determine y so that o(y) = 0.
-2, 3, 10
Let s be -14095*12/(-180) + -9. Let g = s - 930. Factor -g*t**2 - 2/9*t**3 + 0 + 0*t.
-2*t**2*(t + 3)/9
Suppose -133*d = -149*d. Let u(m) be the first derivative of -5 + d*m**2 + 1/14*m**4 - 2/7*m**3 + 0*m. Determine n so that u(n) = 0.
0, 3
Let g(b) be the first derivative of 5*b**6/6 + 996*b**5 + 1230025*b**4/4 - 4975010*b**3/3 + 3120000*b**2 - 2500000*b + 7323. Solve g(v) = 0 for v.
-500, 1, 2
Factor 0 + 1/2*w**3 - 33/2*w**2 + 81*w.
w*(w - 27)*(w - 6)/2
Let o(a) be the first derivative of 4*a**5 + 28/3*a**3 + 0*a**2 + 61 + 12*a**4 + 0*a. Suppose o(s) = 0. What is s?
-7/5, -1, 0
Let o(i) be the second derivative of 27*i**5/40 - 325*i**4/4 + 2952*i**3 - 1944*i**2 - 514*i. Suppose o(u) = 0. What is u?
2/9, 36
Let p(g) be the first derivative of -g**3/8 + 765*g**2/16 + 771*g/4 - 1819. Suppose p(r) = 0. What is r?
-2, 257
Let q(g) be the first derivative of g**4/6 - 2*g**3 + 2*g**2 + 112*g/3 - 329. Factor q(b).
2*(b - 7)*(b - 4)*(b + 2)/3
Suppose -4*k + 8 = 3*a, 2*k + 2*a - 4 = -3*a. Solve -32*p**2 - 27*p**2 - 5*p**3 - 2*p**2 + 19*p**k - 225*p - 250 - 18*p**2 = 0 for p.
-5, -2
Factor 3/8*p**3 - 351/4 - 171/4*p**2 - 1047/8*p.
3*(p - 117)*(p + 1)*(p + 2)/8
Let l = 2587/246 - 2/123. Let z = l - 47/6. Find k, given that -10/9*k**3 + 4/9 + z*k**2 - 2*k = 0.
2/5, 1
Let i = 71 + -119. Let a be i/(-27) + 2/9. Let -2*x**2 - 180*x + 6 + 176*x + 0*x**a = 0. What is x?
-3, 1
Suppose 150 = 28*u - 74. Let d(w) be the first derivative of 0*w**2 - 2/17*w + 2/51*w**3 - u. Factor d(q).
2*(q - 1)*(q + 1)/17
Suppose -5*l + 332 = -4*u, 0 = -7*l + 8*l - u - 67. Let i(w) be the first derivative of 1/4*w**4 - 5*w**3 - 11 + 24*w**2 + l*w. Factor i(z).
(z - 8)**2*(z + 1)
Let c be (-18)/99 - (-156)/11. Let y be c*(4/392*4 - 0). Factor 2/7*o**5 + 8/7*o**3 - 8/7*o**4 + 4/7*o**2 - 10/7*o + y.
2*(o - 2)*(o - 1)**3*(o + 1)/7
Let n(s) = 383*s + 113755. Let u be n(-297). Find v, given that 1/4*v**u - 3*v**2 - 16 + 20*v - 5/4*v**3 = 0.
-4, 1, 4
Suppose 28*b = -56 + 140. Let p(f) 