 Let m = z - -2/129. Factor 6/19 + m*o - 2/19*o**2.
-2*(o - 3)*(o + 1)/19
Let i(p) be the second derivative of 8 - 1/30*p**3 + 1/75*p**6 - 1/20*p**5 + 0*p**2 - 2*p + 1/15*p**4. Suppose i(a) = 0. What is a?
0, 1/2, 1
Suppose 0 = 36*h - 40*h + 3*a + 1846, -928 = -2*h + 4*a. Let i = -452 + h. What is c in 3/2*c**3 + 0 + 1/4*c**4 + 0*c**2 - i*c = 0?
-4, 0, 2
Let z = -243 + 245. Suppose 3*n - 2 = f + 2, -3*f = 5*n - 30. Factor -2*p**3 + 2*p**4 + 3*p**z - f*p**4 + 2*p**4.
-p**2*(p - 1)*(p + 3)
Solve -19/3*w**3 - 28 + 151/3*w + 1/3*w**4 - 49/3*w**2 = 0 for w.
-4, 1, 21
Let t be (1/(-2))/(22/(-396)). Suppose x + 10 = 3*w, 7*x + 16 = t*x + 3*w. What is y in 0 - 6/13*y - 2/13*y**x = 0?
-3, 0
Let m(y) be the first derivative of 0*y**2 + 1/30*y**3 + 0*y + 1/40*y**4 - 1/50*y**5 + 91 - 1/60*y**6. Factor m(r).
-r**2*(r - 1)*(r + 1)**2/10
Let v be 0 + (-8)/44 - (-28)/154. Let n(j) be the second derivative of 30*j + 1/27*j**4 + 0 - 8/9*j**2 + v*j**3. Factor n(y).
4*(y - 2)*(y + 2)/9
Let s = -45524 + 45526. Let m(x) be the first derivative of 49 - s*x**2 - 6/5*x**5 - 32/3*x**3 + 6*x - 7*x**4. Solve m(q) = 0 for q.
-3, -1, 1/3
Let g(y) be the first derivative of 5*y**6/6 + 16*y**5 - 65*y**4/2 - 820*y**3/3 - 955*y**2/2 - 340*y - 2039. Let g(q) = 0. Calculate q.
-17, -1, 4
Let d(l) be the first derivative of l**3 - 42*l**2 + 441*l + 981. Factor d(p).
3*(p - 21)*(p - 7)
Let h(q) = -q**2 - 95*q - 2. Let f(m) = 4*m**2 + 217*m + 530. Let u(i) = -f(i) - 5*h(i). Factor u(g).
(g - 2)*(g + 260)
Factor 1031*f - 1678*f + 264 + 3*f**3 + 923*f + 78*f**2.
3*(f + 2)**2*(f + 22)
Let 19616*v**2 + 26048*v - 33215*v**4 + 4*v**5 + 12992 + 6592*v**3 + 66954*v**4 - 32895*v**4 = 0. What is v?
-203, -2
Let q(i) = i**2 - 30*i - 290. Let z be q(40). Determine b so that z*b**2 + 118*b**2 - b - 227*b**2 + b**3 - 1 = 0.
-1, 1
Let k = -113328 - -340034/3. Determine g so that -484/3 + k*g**3 + 814/3*g - 126*g**2 - 2/3*g**4 = 0.
1, 2, 11
Let t = -447 + 457. Factor -23*j**3 + j**5 + 0*j**4 - t*j - 8*j**3 - 29*j**2 - 7*j**4 + 4*j**3.
j*(j - 10)*(j + 1)**3
Suppose -2*n = -5*v + 4, -2*v - 2 = 6*n - 5*n. Let g = 11 + n. Determine l so that 3*l**5 - 3*l**3 - g*l**2 + 3*l**2 - 737*l**4 + 743*l**4 = 0.
-2, -1, 0, 1
Let q(l) = 10*l**2 + 40*l - 80. Let h(s) = 9*s**2 + 39*s - 82. Let j(b) = 5*h(b) - 4*q(b). Factor j(p).
5*(p - 2)*(p + 9)
Suppose -4*c**4 + 213*c**2 - 38 - 116*c**2 + 128*c - 20*c**3 - 90 - 73*c**2 = 0. What is c?
-4, 1, 2
What is m in 48*m**2 + 43919*m + 732 - 133019*m + 43732*m + m**3 + 44587*m = 0?
-61, 1, 12
Let m(r) = 2*r**3 + 73*r**2 - 502*r - 2208. Let d(n) = -6*n**3 - 216*n**2 + 1504*n + 6624. Let u(z) = 3*d(z) + 10*m(z). Determine i so that u(i) = 0.
-46, -3, 8
Suppose 8/5*d**2 - 82/5*d - 66/5 = 0. Calculate d.
-3/4, 11
Let n be (1074/27)/((-14)/(-63)). Let j = -176 + n. Find v such that -128/3 - 2/3*v**4 + 8*v**2 + 64/3*v - 8/3*v**j = 0.
-4, 2
Let f(y) be the second derivative of -3/14*y**3 + 1/28*y**4 + 12*y - 6/7*y**2 + 2. Factor f(m).
3*(m - 4)*(m + 1)/7
Let m(h) be the second derivative of 161*h - 1/10*h**5 + 5/3*h**3 - 1/2*h**4 + 0 - 2*h**2 + 1/15*h**6. Factor m(l).
2*(l - 1)**3*(l + 2)
Factor -15*u**3 - 134*u - 280 - 431*u + 10*u**3 - 290*u**2.
-5*(u + 1)**2*(u + 56)
Suppose 0 = r + 262*g - 257*g - 73, 2*r = g - 8. Let 0 + 5/2*m**2 - 2/5*m - 3/5*m**r = 0. Calculate m.
0, 1/6, 4
Suppose -214*z - 68*z + 4 - 5 + 1 = 0. Let 7/4*n**4 - 9/4*n**5 + z + 11/4*n**3 - 7/4*n**2 - 1/2*n = 0. What is n?
-1, -2/9, 0, 1
Factor 2/3*l**2 + 458882/3 - 1916/3*l.
2*(l - 479)**2/3
Let h(u) = -13*u**3 - 116*u**2 - 3477*u + 7438. Let a(f) = 23*f**3 + 233*f**2 + 6954*f - 14877. Let c(g) = -4*a(g) - 7*h(g). Determine w, given that c(w) = 0.
-61, 2
Factor 860/3*z**2 - 2/3*z**5 + 242/3 - 380/3*z**3 + 50/3*z**4 - 770/3*z.
-2*(z - 11)**2*(z - 1)**3/3
Suppose 5797 - 5823 = -2*f - 2*m, -4*m = -2*f - 34. Solve 2/11*k**f + 4/11*k - 10/11*k**2 + 16/11 = 0 for k.
-1, 2, 4
Suppose -9 = t + 2*t, -5*f + 3*t = 281. Let p = f - -61. Solve 320*l + 3 + 5*l**3 - p + 15*l**2 + 65*l**2 = 0.
-8, 0
Suppose -17*r + 54 = 3. Find d, given that 2 - 2 + 32*d - 353*d**r + 333*d**3 - 72*d**2 = 0.
-4, 0, 2/5
Let b(o) be the first derivative of o**5/15 - 5*o**4/12 - 9*o**3 + 173*o**2/6 - 88*o/3 + 1692. What is y in b(y) = 0?
-8, 1, 11
Let p(z) be the first derivative of 7*z**5/30 - 5*z**4/3 - 61*z**3/18 - 7*z**2/6 - 1061. Let p(c) = 0. What is c?
-1, -2/7, 0, 7
Let h(z) = -z**2 - 48*z. Suppose 3*m = -4*x - 199 + 35, -5*x - 169 = 3*m. Let d be h(m). Factor 6/7*y**2 + d - 2/7*y.
2*y*(3*y - 1)/7
Let b = -15301/238 + 2623/34. Solve b*z + 2/7*z**3 + 24/7*z**2 + 108/7 = 0.
-6, -3
Let d(j) be the third derivative of j**6/60 + 17*j**5/30 - 217*j**4/6 + 3*j**2 - 1840*j. Factor d(h).
2*h*(h - 14)*(h + 31)
Suppose 2*c + 3*p = 15, -5*c = -3*p - 2*p. Let j be (-2)/40*(-62 + 38). Determine n, given that -j*n**c + 8/5 + 24/5*n - 2/5*n**2 = 0.
-2, -1/3, 2
Let h(i) be the third derivative of -i**5/180 - 11*i**4/72 + 40*i**3/9 + 1935*i**2. Factor h(d).
-(d - 5)*(d + 16)/3
What is y in 147/5 - 3/5*y**2 + 0*y = 0?
-7, 7
Let f(j) = 2*j + 14. Let y be f(3). Let z = 24 - y. Factor 22*p**4 - 2*p**5 + 26*p**z - 4*p**3 + 0*p**3 - 42*p**4.
-2*p**3*(p - 2)*(p - 1)
Let r(k) be the second derivative of 1/42*k**4 + 16/3*k**3 + 240*k - 1 + 448*k**2. Solve r(x) = 0.
-56
Factor 144/5*a - 4*a**2 - 2/5*a**4 - 22/5*a**3 + 0.
-2*a*(a - 2)*(a + 4)*(a + 9)/5
Solve -28/15*a**3 - 216/5*a + 168/5 + 262/15*a**2 - 2/15*a**4 = 0.
-21, 2, 3
Let l = 268038/23 - 804068/69. Factor 0 + 0*p + 11*p**4 + 0*p**2 - l*p**3.
p**3*(33*p - 2)/3
Suppose 66 = 32*w - 62. Solve -12*z**3 - 5*z - 6 - 15*z - 28*z**2 + 4*z**2 - 2*z**w = 0.
-3, -1
Let d(c) be the third derivative of c**7/40 + c**6/10 + 9*c**5/80 + 43*c**2 - 3. Find i such that d(i) = 0.
-9/7, -1, 0
Let q(o) = 9*o + 84. Let r be q(-9). Factor 42 - 16*t**3 + 183*t - 20*t**2 + 4*t**r + 101*t**2 - 24*t**2.
-3*(t - 7)*(t + 2)*(4*t + 1)
Let p be -35 + (-220)/20 + 46. Let 2/5*f**2 + 2*f + p = 0. Calculate f.
-5, 0
Suppose -1 - 5 = -2*u. Suppose 3*v + u - 9 = 0. What is s in -6*s - 2 + v - 9*s**2 - 8*s**3 + 5*s**3 = 0?
-2, -1, 0
Suppose -29*j = 32 - 148. Let w(d) = 5*d**4 - 5*d**3 - 5*d**2 + 5*d. Let s(y) = -5*y**4 + 4*y**3 + 5*y**2 - 4*y. Let o(k) = j*w(k) + 5*s(k). Factor o(c).
-5*c**2*(c - 1)*(c + 1)
Let b(t) be the second derivative of 0 + 3/160*t**5 + 0*t**2 + 1/80*t**6 + 68*t + 1/336*t**7 + 0*t**3 + 1/96*t**4. Factor b(a).
a**2*(a + 1)**3/8
Let l be 1/(36/32 - 1). Let h be 20/l*4/5. Factor -5 + 3 + w**2 + 2*w + h.
w*(w + 2)
Let w(t) = 2*t + 29. Let b be w(-12). Suppose -7 = 4*y - 3*d, 2 = -y + b*d - 21. Determine q so that -4*q - 7*q**y + 11*q**3 - q**4 + 7*q - 5*q**3 - q**3 = 0.
0, 1, 3
Let y(j) be the third derivative of j**6/240 + 61*j**5/120 + 1015*j**4/48 + 841*j**3/4 - 8*j**2 - 31*j. Factor y(n).
(n + 3)*(n + 29)**2/2
Let y(q) be the third derivative of q**6/24 - 19*q**5/6 - 515*q**4/8 - 225*q**3 + 77*q**2 - 14. Factor y(g).
5*(g - 45)*(g + 1)*(g + 6)
Let z = -716/5 - -2153/15. Factor -48 - z*o**2 - 8*o.
-(o + 12)**2/3
Suppose t + 22 = 5*p, 3*t + 57 = 2*p + 43. Suppose -3*j = -3*i, p*i - 21 = 3*j - 6*j. Find o such that -36/19 - 150/19*o - 88/19*o**2 - 14/19*o**i = 0.
-3, -2/7
Let j(u) be the first derivative of 245*u**5/3 + 3605*u**4 + 40756*u**3 - 44496*u**2 + 15552*u - 14561. Determine w, given that j(w) = 0.
-18, 12/35
Let g(f) be the first derivative of 6*f**5/5 - 11*f**4/3 - 146*f**3/9 + 66*f**2 - 48*f + 734. Find c such that g(c) = 0.
-3, 4/9, 2, 3
Let c(i) be the third derivative of -i**6/60 + i**5/15 + 721*i**2 - 2. Determine f so that c(f) = 0.
0, 2
Let v = 3/769930 - -7699/76993. Factor -b - v*b**2 - 5/2.
-(b + 5)**2/10
Determine f, given that 72*f**2 + 20*f**3 + 136 - 2*f**4 + 248*f + 23*f**3 + 88 + 14*f**3 - 59*f**3 = 0.
-4, -2, 7
Let i(j) be the second derivative of -j**4/6 + 5758*j**3/3 - 8288641*j**2 - 2955*j. Find g such that i(g) = 0.
2879
Let s(t) be the first derivative of -1/6*t**4 - 1/9*t**2 - 2/45*t**5 - 2/9*t**3 + 0*t - 8. Solve s(m) = 0 for m.
-1, 0
Let g be 6/(-22) - 522/(-1926). Let l = 2360/3531 + g. Factor l - 2/3*p**2 + 0*p.
-2*(p - 1)*(p + 1)/3
Let p(w) = -w**3 - 3*w**2 + w + 5. Let s be p(-3). Solve -f**s - 16 - 377*f + 399*f - 105 = 0.
11
Let b(z) be the third derivative of -1/5*z**4 + 0 + 3