 + 2778564*z**3 + 12*z**2 - 2778566*z**3 + 48 + 10*z**2 - 46*z.
-2*(z - 6)*(z - 4)*(z - 1)
Factor -1 - 136161/4*i**2 - 369*i.
-(369*i + 2)**2/4
Factor 1925/3*w - 741125/6 - 5/6*w**2.
-5*(w - 385)**2/6
Suppose 5*d - 130 = p, 2*p = 7*d - 3*d - 110. Suppose -50*u**4 - 7*u**3 - d*u + 5*u**5 + 30*u**2 + 12*u**4 + 27*u**3 + 8*u**4 = 0. Calculate u.
-1, 0, 1, 5
Factor -85/3*c - 88 + 1/3*c**2.
(c - 88)*(c + 3)/3
Let r(u) = 33*u**2 + 453*u - 912. Let w(t) = -28*t**2 - 452*t + 911. Let c(s) = 5*r(s) + 6*w(s). Factor c(p).
-3*(p - 2)*(p + 151)
Let y(p) be the first derivative of 16*p - 1/3*p**3 - 255 + 3*p**2. Factor y(r).
-(r - 8)*(r + 2)
Let d(n) = -2*n**2 + 301*n - 1452. Let r be d(5). Solve 5/4*u - 1/2 + 1/4*u**4 - 1/4*u**r - 3/4*u**2 = 0 for u.
-2, 1
Let v(o) be the second derivative of 1 + 4/5*o**2 + 14161/30*o**4 + 36*o + 476/15*o**3. Determine r so that v(r) = 0.
-2/119
Suppose j + 5*o = -32, 0 = -5*j - o + 1390 - 1382. Find a, given that 2/9*a**j - 4/9*a**2 + 8 - 10/3*a = 0.
-4, 3
Let j(o) be the second derivative of -9*o - 5/6*o**3 + 0 - 1/12*o**5 - 5/12*o**4 - 9/2*o**2. Let k(g) be the first derivative of j(g). Factor k(s).
-5*(s + 1)**2
Factor 4*v + 150*v**2 + 561*v**2 + 3096*v**3 + 746*v**2 + 4*v + 107*v**2.
4*v*(2*v + 1)*(387*v + 2)
Let o = 1269282 + -717144021/565. Let k = o + 6/113. Suppose 0 + 3/5*z**2 + 0*z - k*z**3 = 0. Calculate z.
0, 1
What is n in -25*n**5 + 10 - 955/2*n**2 - 695/4*n**4 - 1765/4*n**3 - 175*n = 0?
-2, -1, 1/20
Let a = 30267 + -30258. Let v = 3/53 + 147/212. Determine s so that v*s**3 - 75/2 - a*s**2 + 135/4*s = 0.
2, 5
Let y(v) = 3*v. Let i(j) = -5*j**2 - 208*j - 960. Let s(t) = -i(t) - 6*y(t). Factor s(a).
5*(a + 6)*(a + 32)
Let c be (-3)/5 + ((-22)/(-11))/(-24 - -26). Let r(j) be the second derivative of -27*j + 0 - 13/15*j**3 + c*j**4 + 1/5*j**2. Determine t, given that r(t) = 0.
1/12, 1
Let g(f) be the first derivative of f**7/630 - 7*f**6/360 - f**2 + 3*f + 66. Let s(u) be the second derivative of g(u). Let s(v) = 0. Calculate v.
0, 7
Find z such that -336869 - 5*z**2 + z**2 - 1432*z + 208705 = 0.
-179
Let v(p) be the second derivative of -p**4/18 + 2258*p**3/9 - 1274641*p**2/3 - 18*p - 24. Let v(n) = 0. Calculate n.
1129
Factor -1024/5 - 248/5*z + 2/5*z**2.
2*(z - 128)*(z + 4)/5
Factor 423/8*g + 1095/4 - 3/8*g**2.
-3*(g - 146)*(g + 5)/8
Let t = 1343681/63 + -149007/7. Determine i so that 359/9*i**3 - t*i**2 + 100/9*i + 44/9*i**4 - 121/9*i**5 - 8/9 = 0.
-2, 2/11, 1
Let y(z) be the third derivative of 14*z**5/15 - 83*z**4/12 - z**3 + 4*z**2 - 69. Factor y(j).
2*(j - 3)*(28*j + 1)
Suppose 2*x + 1 = o, -8*o + 4*x - 3 = -11*o. Suppose 627 - 195 = 3*r. Factor 1 - r*j - 4*j**3 - o - 21*j**2 - 27*j**2.
-4*j*(j + 6)**2
Let s(l) be the third derivative of -l**5/330 + 644*l**4/11 - 4976832*l**3/11 - 168*l**2 + 3*l + 1. Factor s(r).
-2*(r - 3864)**2/11
Let l(i) = -i**3 + 3*i**2 + 15*i + 21. Let c(x) = x**3 - 3*x**2 - 18*x - 29. Let v(z) = -2*c(z) - 3*l(z). Factor v(s).
(s - 5)*(s + 1)**2
Let p(x) be the first derivative of -2*x**5/15 - 26*x**4/15 - 46*x**3/9 + 112*x**2/15 + 8*x - 3440. Let p(f) = 0. Calculate f.
-6, -5, -2/5, 1
Let b be (-866)/(-3) + (-16)/(-48). Let d = 291 - b. Factor -2/5*z + 0 - 6/5*z**d - 2/5*z**4 - 6/5*z**3.
-2*z*(z + 1)**3/5
Let b(w) = -50*w**4 + 1475*w**3 - 1430*w**2 + 5*w + 5. Let a(i) = -75*i**4 + 2212*i**3 - 2144*i**2 + 7*i + 7. Let z(n) = 5*a(n) - 7*b(n). What is f in z(f) = 0?
0, 1, 142/5
Let t = 2464/39 - 2438/39. Factor 1/6*s**3 + 1/2*s + t*s**2 + 0.
s*(s + 1)*(s + 3)/6
Let b(j) be the third derivative of j**4/2 + 34*j**3 + 164*j**2. Let n be b(-17). What is l in n + 5/3*l**2 + 0*l = 0?
0
Let p(h) = -h**3 + 12*h**2 - 21*h + 13. Let i be p(10). Find v, given that 32*v + i*v**2 + 15*v - 59*v = 0.
0, 4
Let c(y) be the second derivative of y**4/4 - 47*y**3 - 285*y**2/2 - 895*y. Solve c(p) = 0 for p.
-1, 95
Let y(p) be the second derivative of -p**6/30 + 41*p**5/20 - 475*p**4/12 + 361*p**3/2 - 636*p. Determine h so that y(h) = 0.
0, 3, 19
Let y(k) = -3*k**3 - 42*k**2 + 193*k - 180. Let o(s) = s**3 + 3*s**2 + s + 3. Let x(f) = -4*o(f) - y(f). Factor x(d).
-(d - 21)*(d - 8)*(d - 1)
Let o(q) be the third derivative of 0*q**3 + 0*q**5 - 109*q**2 + 0*q**4 + 0*q - 1/160*q**6 + 1/280*q**7 + 0. Find n, given that o(n) = 0.
0, 1
Let t(i) be the second derivative of i**7/147 - 13*i**6/105 - 3*i**5/7 - i**4/21 + 29*i**3/21 + 15*i**2/7 + 10*i - 45. Suppose t(w) = 0. Calculate w.
-1, 1, 15
Let o(a) be the second derivative of 1/2*a**3 + 5*a - 13/2*a**2 - 1/60*a**5 + 0 - 1/12*a**4. Let m(k) be the first derivative of o(k). Factor m(j).
-(j - 1)*(j + 3)
Let g(t) = 24*t**2 - 165*t - 168. Let a(x) = 5*x**3 + 3*x - 4. Let o be a(1). Let y(c) = 14*c**2 - 82*c - 84. Let r(z) = o*g(z) - 7*y(z). Factor r(b).
-2*(b + 1)*(b + 42)
Suppose -5*k + 4 = -k, -5*k = 2*n - 13. Factor 0*t**5 - 62 + 64 + 4*t**3 - 4*t**2 + 2*t**4 + 0*t**n - 2*t**5 - 2*t.
-2*(t - 1)**3*(t + 1)**2
Factor 0 + 23051/4*x**2 + 3/4*x**4 + 7921*x - 265/2*x**3.
x*(x - 89)**2*(3*x + 4)/4
Let v = 819267/7 + -117031. Factor 80/7*z + 4/7*z**3 - v + 38/7*z**2.
2*(z + 5)**2*(2*z - 1)/7
Let q be (84/(-30) - (11 + -15))*(-5)/(-2). Let l(d) be the first derivative of 5 + 0*d**2 + 0*d + 1/2*d**4 + 2/3*d**q. Suppose l(t) = 0. Calculate t.
-1, 0
Let x(w) be the second derivative of -3/20*w**5 - 27/2*w**2 + w - 7/4*w**4 - 24 - 15/2*w**3. Find v, given that x(v) = 0.
-3, -1
Let w(c) be the third derivative of -c**5/150 - 763*c**4/15 - 2328676*c**3/15 + 3*c**2 + c - 267. Factor w(f).
-2*(f + 1526)**2/5
Let l(b) be the first derivative of b**4/12 + 22*b**3/9 + 80*b**2/3 + 128*b - 1437. Factor l(u).
(u + 6)*(u + 8)**2/3
Let o be (-5)/5370*3/(-9)*250. Let c = o + 6/179. Determine u so that 0 + c*u**2 - 2/3*u = 0.
0, 6
Let p = -379823 + 379827. Factor 676/3 + 1300/3*y + 1/3*y**p + 191*y**2 - 50/3*y**3.
(y - 26)**2*(y + 1)**2/3
Let a be 63/2*32/(-6). Let n be (-172)/(-728) + (-12)/a. Determine t so that -n*t**4 + 2/13*t**5 + 4/13*t**2 - 2/13*t + 0 + 0*t**3 = 0.
-1, 0, 1
Suppose 10*q - 23 - 87 = 0. Factor -13*d**3 - 7*d**2 + d**2 + q*d**3.
-2*d**2*(d + 3)
Determine b so that -14*b**2 + 0 + 1/2*b**3 + 27/2*b = 0.
0, 1, 27
Let k = -14507 + 884959/61. Let r = 2/1159 + k. Factor 6/19*i**2 + 4/19 - r*i.
2*(i - 1)*(3*i - 2)/19
Suppose -5*n + 31 = -2*x, 2*n - 10*x - 22 = -8*x. Factor -4/9*b + 5/9*b**n - 8/9*b**2 + 0.
b*(b - 2)*(5*b + 2)/9
Determine v, given that -3192*v - 3/2*v**2 - 1698144 = 0.
-1064
Let r(t) = -3*t**2 - 6*t + 13. Let k be r(-3). Suppose -26 = -5*s - 4*v, 56*v - 16 = -k*s + 54*v. Factor 0*a - 8/5 + 2/5*a**s.
2*(a - 2)*(a + 2)/5
Suppose -147*s + 21*s = 14 - 24 - 242. Suppose -3/4*h**5 - 29/4*h**2 + 11/4*h**3 + 3 - s*h + 17/4*h**4 = 0. What is h?
-1, 2/3, 1, 6
Suppose 237 = -2*o - n, n + 379 = -3*o + 22. Let r be o/18*(1 + (-604)/220). Find a, given that 2/11*a**2 + r + 32/11*a = 0.
-8
Let p(y) be the second derivative of y**7/252 - y**6/18 + 17*y**5/120 + 8*y**4/9 - 3*y**3 - 12*y**2 - 3092*y. Determine a, given that p(a) = 0.
-2, -1, 3, 4, 6
Let u(b) be the second derivative of 3*b**5/50 - 9*b**4/5 + 13*b**3 - 219*b + 4. Let u(p) = 0. Calculate p.
0, 5, 13
Suppose o - 4 = -2. Suppose 3*i + v - 1 = 0, 2*i - 1 = -v - o. Factor -15*b - 2*b**2 - 4*b**2 - b**2 + 2*b**i.
-5*b*(b + 3)
Let 39*w**4 - 561*w**2 + 180 + 5/2*w**5 - 277/2*w**3 - 206*w = 0. What is w?
-18, -2, -1, 2/5, 5
Let n(f) = -1024*f - 42. Let g be n(-10). Let 10218*q - 1 - q**2 + 6 - g*q - 5 = 0. What is q?
0, 20
Factor 3/4*i**2 + 4385043/4 + 3627/2*i.
3*(i + 1209)**2/4
Suppose 0*d - 1/6*d**3 + 0 - 37/3*d**2 = 0. Calculate d.
-74, 0
Let f(m) = -5*m + 15 - m - 11*m**2 + 10*m**3 - 3*m**3 - 6*m**3. Let y be f(13). Factor 5*c**3 + 10*c + 15*c**2 + y - 275.
5*c*(c + 1)*(c + 2)
Let l = 124 - 121. Factor r**2 + r**l - 19*r**3 - 3*r**4 - 18*r + 4*r**2 - 38*r**2.
-3*r*(r + 1)*(r + 2)*(r + 3)
Let d(u) be the first derivative of -1/4*u**4 + 1/15*u**5 - u - 56 - 19/12*u**2 + 1/36*u**6 - 10/9*u**3. What is p in d(p) = 0?
-2, -1, 3
Let y(x) = x**3 + 25*x**2 + 26*x + 48. Let c be y(-24). Factor 3*j - 9*j**3 - 444*j**4 - 3*j**2 + 6*j + 224*j**4 + c*j + 223*j**4.
3*j*(j - 3)*(j - 1)*(j + 1)
Let p(m) be the second derivative of -m**6/135 + 7*m**5/45 + m**4/18 - 40*m**3/27 - 28*m**2/9 + 48*m - 2. Let p(o) = 0. Calculate o