9/4 + 3/4*o**3.
3*(o + 27)**3/4
Factor -21*r**3 - 251*r - 27*r**3 - 30*r**2 + 46*r**3 + 179*r.
-2*r*(r + 3)*(r + 12)
Suppose 8 = -2*u + 14. Factor 5*g**3 - 2*g**u - 65*g**2 + 65*g**2.
3*g**3
Let i(z) be the first derivative of -z**7/378 - z**6/45 - 13*z**5/180 - z**4/9 - 2*z**3/27 + 63*z + 7. Let h(c) be the first derivative of i(c). Factor h(g).
-g*(g + 1)**2*(g + 2)**2/9
Let p(s) be the second derivative of 3/4*s**5 - 16*s**2 + 2 + 22*s**3 - 34/3*s**4 - 17*s. Factor p(c).
(c - 8)*(3*c - 2)*(5*c - 2)
Let t(p) be the first derivative of -p**3 + 39*p**2/2 - 90*p + 2122. Find m, given that t(m) = 0.
3, 10
Let h(j) = 7*j - 26. Let n be 5/((-20)/(-16) - 0). Let m be h(n). Determine p, given that 6/7*p**m + 0 + 3/7*p + 3/7*p**3 = 0.
-1, 0
Let x be ((-144)/54)/((-5)/((-5085)/(-6))). Let q = -449 + x. Find b, given that -12/5*b + 4/5 - 6/5*b**q + 1/5*b**4 + 13/5*b**2 = 0.
1, 2
Let h(c) = c**4 - c**3 + c**2 - 5. Let o(x) = -x**5 - 13*x**4 + 16*x**3 + 13*x**2 + 25. Let f(k) = -5*h(k) - o(k). Factor f(i).
i**2*(i - 2)*(i + 1)*(i + 9)
Suppose -8*s - 592 = -2*k - 12*s, -3*k = 3*s - 873. Let d = k - 284. Solve -1 + 5/4*v**d - v + 3/4*v**3 = 0 for v.
-2, -2/3, 1
Let c be (-2 - 17/(-8))/(55/440) + 680/56. Solve c*v**2 - 88/7*v + 0 - 4/7*v**3 = 0 for v.
0, 1, 22
Let y(n) be the second derivative of 1/42*n**4 + 0*n**2 + 1/70*n**5 - 2/7*n**3 - 13*n - 1. Factor y(a).
2*a*(a - 2)*(a + 3)/7
Let d(c) be the third derivative of -c**8/42 + 7*c**7/15 - 13*c**6/5 + 82*c**5/15 - 8*c**4/3 - 6*c**2 - 3. Solve d(y) = 0.
0, 1/4, 2, 8
Let x(l) be the second derivative of -11/2*l**2 + 1/40*l**6 + l**3 - 1/8*l**4 - 6*l - 1/10*l**5 + 0. Let j(h) be the first derivative of x(h). Factor j(r).
3*(r - 2)*(r - 1)*(r + 1)
Let c = 1892797/22400 - -3/22400. Find o, given that 1/2*o**3 + c*o + 0 - 13*o**2 = 0.
0, 13
Let v(w) = -w**2 - 13*w - 25. Let h be v(-9). Determine r, given that -r**2 + 0*r + h*r - 2 - 6*r + 3*r + 11 = 0.
-1, 9
Find n such that 1 - 5 - 4 + 2*n**2 + 8 - 1182*n = 0.
0, 591
Let a(o) be the first derivative of -6*o + 5/2*o**2 + 64 - 1/3*o**3. Factor a(n).
-(n - 3)*(n - 2)
Let f(l) be the first derivative of 0*l + 2/7*l**2 - 1/7*l**4 - 2/21*l**3 + 2/35*l**5 + 22. Suppose f(r) = 0. Calculate r.
-1, 0, 1, 2
Let l(s) be the third derivative of 121/210*s**5 + 16/21*s**3 - 22/21*s**4 + 0 + 22*s - s**2. Factor l(i).
2*(11*i - 4)**2/7
Let p(k) be the first derivative of -7*k**4 - 152*k**3/3 - 30*k**2 - 2633. Factor p(v).
-4*v*(v + 5)*(7*v + 3)
Let y(s) be the first derivative of -s**3/12 - 25*s**2 - 591*s/4 + 1107. Factor y(a).
-(a + 3)*(a + 197)/4
Suppose -143*j**2 - 1379*j**3 - 295*j**2 + 15987*j + 1382*j**3 = 0. Calculate j.
0, 73
Let l = -464 - -466. Determine s, given that 0*s**l - 22 - 2*s - 19*s - 2*s**2 - s**2 + 4*s**2 = 0.
-1, 22
Let h(s) be the first derivative of 102 - 7/2*s**2 - 1/4*s**4 - 3*s - 5/3*s**3. Factor h(v).
-(v + 1)**2*(v + 3)
Solve 27/5*h**2 + 1/5 + 12/5*h = 0 for h.
-1/3, -1/9
Suppose -9/2*c**3 - 21/2*c**2 - 3 - 19/2*c - 1/2*c**4 = 0. What is c?
-6, -1
Solve b**2 - 67*b - 39 - 12 - 27*b**2 - 4*b + 6 = 0.
-45/26, -1
Let g(k) = -k**5 + 142*k**4 - 177*k**3 - 530*k**2 + 600*k - 4. Let b(m) = 2*m**5 + 16*m**4 - m**3 - 2. Let l(i) = -2*b(i) + g(i). Solve l(v) = 0.
-2, 0, 1, 3, 20
Let h(t) be the second derivative of 0 - 1/150*t**6 + 1/210*t**7 - 51*t - 1/30*t**4 + 1/6*t**3 - 3/50*t**5 + 3/10*t**2. Factor h(z).
(z - 3)*(z - 1)*(z + 1)**3/5
Let l(r) be the first derivative of r**6/4 - 27*r**5/10 + 69*r**4/8 - 15*r**3/2 + 9013. Find d such that l(d) = 0.
0, 1, 3, 5
Let z be (-21)/(-12)*(4 - -4). Determine p so that -5*p**4 + 69*p - p**3 + 61*p - 6 + z*p**2 - 135*p + 3*p**4 = 0.
-3, -1/2, 1, 2
Let r = -48988 - -48991. Determine w, given that -12/5*w**2 + 8/5*w + 4/5*w**r + 0 = 0.
0, 1, 2
Let l = 151468 - 1060222/7. Find y, given that -12/7*y - 90/7*y**3 - l*y**4 + 0 - 10/7*y**5 - 58/7*y**2 = 0.
-3, -1, -2/5, 0
Let j(r) be the second derivative of -r**4/48 + 247*r**3/24 + 249*r**2/4 - 4797*r. Factor j(g).
-(g - 249)*(g + 2)/4
Let x(b) = -2*b**2 + 78*b + 87. Let v be x(38). Suppose -176*r = -v*r - 39. Factor 0 + 8/3*j + 7/3*j**2 - 1/3*j**r.
-j*(j - 8)*(j + 1)/3
Let u be 2/(-5) + (-12)/(-5). Suppose x + 0*x = -h + u, 0 = -5*h - x + 22. Let 8 - 12*m**3 - 6*m**2 + 8*m - 2 + 6*m**5 - 3*m**h + m = 0. What is m?
-1, 1, 2
Let t(g) = -g**3 + 6*g**2 + 861*g - 4327. Let a be t(5). Factor -3/8*y**a - 9/4 + 9/4*y**2 + 3/8*y.
-3*(y - 6)*(y - 1)*(y + 1)/8
Let i(l) = -2*l**2 + 118*l - 536. Let o be i(5). Let d(j) be the second derivative of 4 - 13/27*j**3 - 2/3*j**2 + 4*j - 4/27*j**o - 1/90*j**5. Factor d(p).
-2*(p + 1)**2*(p + 6)/9
Suppose 7*y = -26 - 772. Let t be y/152*(-5)/(30/16). Solve -1/2*w**3 + 17/2*w**t - 3/2*w**4 + 3 - 19/2*w = 0.
-3, 2/3, 1
Let y be (-3240)/2592*9/(-30). Factor y*w + 3/4 - 3/8*w**2.
-3*(w - 2)*(w + 1)/8
Let m(t) be the third derivative of 0*t + 9/20*t**5 - 11/40*t**6 + 0 + 49*t**3 + 1/70*t**7 + 119/8*t**4 - 56*t**2. Find f, given that m(f) = 0.
-2, -1, 7
Let c(u) be the second derivative of u**4/12 - 677*u**3/3 + 458329*u**2/2 + 2073*u + 1. Find j, given that c(j) = 0.
677
Suppose 11*c - 5*y - 9 = 9*c, 3*y = 3*c. Let a(w) = -39*w**2 + 185*w - 40. Let f(d) = 116*d**2 - 556*d + 120. Let n(k) = c*f(k) - 8*a(k). What is v in n(v) = 0?
2/9, 5
Suppose -252 = d + 2162. Let z = -2412 - d. Factor 3/2 - 3/2*n**z + 0*n.
-3*(n - 1)*(n + 1)/2
Factor 376360 - 1940*o + 5/2*o**2.
5*(o - 388)**2/2
Suppose -5*j + j + 14048 = -5*f, 3*j + f = 10517. Suppose -3*d = 4*t - t - j, 3*d = -15. Let 1175*c**5 + 0*c**3 - c**3 - t*c**5 = 0. Calculate c.
-1, 0, 1
Suppose 0 = -111*o - 20342 + 20564. Solve -3/7*u**3 - 2/7 + 4/7*u**o + 5/7*u = 0.
-1, 1/3, 2
Let s(d) = -22*d**2 - 144*d - 2884. Let q(h) = -17*h**2 - 146*h - 2885. Let c(x) = 4*q(x) - 3*s(x). Determine a, given that c(a) = 0.
-38
Let y be 8/34 + (-209050)/(-47175). Suppose -5*p - 2*u + 0*u + 10 = 0, -5*u = 0. Factor 17/3*l + y*l**p + l**3 + 2.
(l + 1)*(l + 3)*(3*l + 2)/3
Let c = 19 + -9. Find s such that -100 + c*s**2 + 62*s**2 + 5*s**4 + 23*s**2 + 1094*s**3 - 45*s - 1049*s**3 = 0.
-5, -4, -1, 1
Suppose -160*q = -157*q + 162. Let y be 2/10 + q/(-30). Find i such that -2/7*i**3 + 34/7*i - 6*i**y + 2*i**4 - 4/7 = 0.
-2, 1/7, 1
Suppose -4*b + 13 - 7 = -i, 5*i = 3*b + 21. Let q = 19/9 - -167/36. Suppose 0 + q*h**5 - 15/4*h**3 - 9*h**4 - b*h + 9*h**2 = 0. What is h?
-1, 0, 2/3, 1
Find p such that -3/4*p**2 + 294 - 291/2*p = 0.
-196, 2
Factor 768/5 - 4/5*g**2 + 376/5*g.
-4*(g - 96)*(g + 2)/5
Let l(f) = -6*f**3 + 152*f**2 - 90*f. Let a(r) be the second derivative of -r**5/4 + 38*r**4/3 - 89*r**3/6 + 58*r. Let y(t) = -6*a(t) + 7*l(t). Factor y(w).
-4*w*(w - 12)*(3*w - 2)
Let o(m) = -m**3 + 29*m + 83. Let n be o(-5). Suppose 9 = 24*d - n. Suppose f**2 + 1/3*f**4 + 4/3*f**d + 0 + 0*f = 0. Calculate f.
-3, -1, 0
Let m(j) be the second derivative of 3*j**7/56 - 17*j**6/60 - 53*j**5/80 - 5*j**4/24 + 2*j - 1095. Solve m(p) = 0.
-1, -2/9, 0, 5
Let q be (72/96)/((-15)/(-100)). Let m(b) be the second derivative of 0*b**3 - 1/30*b**6 - 42*b + 0 - 3/20*b**q + 0*b**2 - 1/6*b**4. Factor m(z).
-z**2*(z + 1)*(z + 2)
Suppose 101*u - 432 + 154 - 227 = 0. Let a(h) be the first derivative of 9*h**6 + 8 - 19*h**2 + 0*h**u - 124/3*h**3 - 36*h**4 - 4*h. Factor a(j).
2*(j - 2)*(j + 1)*(3*j + 1)**3
Let z(q) = -3558*q - 3558. Let k be z(-1). Factor -9/2*u + 4*u**3 + 1/2*u**5 - 3*u**2 + 3*u**4 + k.
u*(u - 1)*(u + 1)*(u + 3)**2/2
Let o be 10/(((-16)/(-8))/(0 - -58)). Let i be -14*(4 - o/35). What is c in 137*c**3 - 12960*c - 857*c**3 - 2*c**5 + i*c**4 + 8058 + 4320*c**2 + 7494 = 0?
6
Let b(z) = -65*z - 6. Let h be b(-6). Factor -102*i**3 + 454*i - 3540*i**4 - 3*i**5 + h + 26*i + 3507*i**4 + 24*i**2.
-3*(i - 2)*(i + 1)*(i + 4)**3
Let n(l) be the second derivative of -l**5/140 - 5*l**4/28 - l**3/3 - 78*l - 1. Solve n(y) = 0 for y.
-14, -1, 0
Let x(d) = -d**3 - 963*d**2 + 232323*d + 233287. Let l(z) = -15*z**3 - 13481*z**2 + 3252522*z + 3266017. Let o(h) = 6*l(h) - 87*x(h). Factor o(r).
-3*(r - 483)**2*(r + 1)
Let d(c) = 224*c - 51. Let n be d(1). Factor -5*f**3 - 25 + 292*f + 176*f**2 + f**3 - 8*f**2 + n - 28*f**2.
-4*(f - 37)*(f + 1)**2
Let i(c) be the first derivative of c**3/3 - 15*c**2 - 64*c - 3134. Determine f, given that i(f) = 0.
-2, 32
Let s(