
Suppose 0 = -3*d - 5*g - 9, 2*d + g = -2*g - 5. Suppose 2*b - 2*t = -7*t + 89, -10*b + 3*t - 31 = 0. What is q in 5/4*q**b + 0 - 3/4*q + d*q**3 = 0?
-1, 0, 3/8
Let k be (-3)/4 - 48276/(-26224). Factor -k*u - 54/11 + 2/11*u**2.
2*(u - 9)*(u + 3)/11
Let u = -93 + 97. Factor 11 + 5 + 21*k + k**3 - 3*k**2 - u*k**2 - 13*k.
(k - 4)**2*(k + 1)
Suppose 0 = 37*o - 7 - 30. Suppose 2*v - 1 = 2*a + 9, 4*v + 3*a = -o. What is h in -3/4*h**v + 3*h - 3 = 0?
2
Let v(a) be the third derivative of a**8/672 - 17*a**7/1260 + a**6/40 + 13*a**5/180 - 7*a**4/48 - a**3/4 - 138*a**2 - 4. Solve v(w) = 0 for w.
-1, -1/3, 1, 3
Determine t, given that -1290*t**2 + 3/2*t**3 + 557283 + 552111/2*t = 0.
-2, 431
Let c = 135257 - 135257. Factor -20/11*d - 2/11*d**2 + c.
-2*d*(d + 10)/11
Let o(b) be the third derivative of -b**5/240 + 3*b**4/32 - 5*b**3/6 + b**2 - 107. Determine q, given that o(q) = 0.
4, 5
Let l(g) be the first derivative of g**3/24 - g**2 + 8*g - 450. Factor l(b).
(b - 8)**2/8
Let x = -65 + 65. Let d(c) be the second derivative of 2/9*c**2 + 27*c + 1/54*c**4 + x + 1/9*c**3. Let d(k) = 0. Calculate k.
-2, -1
Let y = -205 + 207. Factor -5*c**2 - 2238*c + 17 + 2248*c - y.
-5*(c - 3)*(c + 1)
Suppose 32 = 5*d - 4*d - 2*y, -4*y = 4*d - 68. Factor -v**3 - 98*v**2 + d*v - 12 + 86*v**2 + 3*v**3.
2*(v - 3)*(v - 2)*(v - 1)
Let s(r) be the third derivative of -r**6/420 + r**5/15 + 8*r**4/21 + 992*r**2. Find h such that s(h) = 0.
-2, 0, 16
Let n = 653/14 + -1285/28. Suppose 27/4*y**3 - 15*y - 3/4*y**4 - n*y**5 + 9 + 3/4*y**2 = 0. Calculate y.
-3, -2, 1, 2
Let x = -560528/5 + 112106. Find j such that 12/5 - 2/5*j**3 - 8/5*j**2 - x*j = 0.
-3, -2, 1
Suppose 15 - 38373*c**2 + 4*c**3 - 3*c**3 + 109*c - 33 + 38317*c**2 - 36 = 0. What is c?
1, 54
Let l(n) be the third derivative of n**5/390 - 28*n**4/39 + 37*n**3/13 + 1046*n**2. Find i, given that l(i) = 0.
1, 111
Let h(o) be the third derivative of 0 - 41/35*o**5 - 63*o**2 + 0*o**3 + 0*o - 1/21*o**4. Factor h(i).
-4*i*(123*i + 2)/7
Let r(y) = 5*y**4 - 24*y**3 + 47*y**2 - 14*y + 4. Let z(u) = 36*u**4 - 168*u**3 + 333*u**2 - 96*u + 30. Let t(d) = -15*r(d) + 2*z(d). Let t(a) = 0. Calculate a.
0, 1, 6
Let g(u) be the second derivative of u**6/30 + 301*u**5/20 + 99*u**4/2 - 602*u**3/3 - 1196*u**2 + 1356*u - 4. Determine o, given that g(o) = 0.
-299, -2, 2
Suppose -3*g + 3 = -3. Let -160*b**5 + 27*b**4 + 2 + 13*b**2 + 21*b**4 - 63*b**g - 6*b + 166*b**3 = 0. Calculate b.
-1, -1/5, 1/4, 1
Let d(l) = l**2 + 7*l - 1. Let s(c) = 6*c - 136. Let a be s(22). Let x(h) = 1. Let w(g) = a*x(g) - 4*d(g). Find b, given that w(b) = 0.
-7, 0
Let b(j) be the third derivative of j**5/12 - 1195*j**4/24 - 1205*j**3/3 + 65*j**2 - j - 3. Solve b(v) = 0 for v.
-2, 241
Let o(r) be the second derivative of 3*r + 1/6*r**6 + 4225/3*r**3 + 19/2*r**5 - 7 - 10985/2*r**2 + 195*r**4. Suppose o(k) = 0. Calculate k.
-13, 1
Let j = -10/303 - -84/505. Let i(l) be the second derivative of 0*l**3 - 2/3*l**4 + 0 + 0*l**5 + j*l**6 + 9*l + 2*l**2. Factor i(s).
4*(s - 1)**2*(s + 1)**2
Let i = -137 + 139. Factor -i*d**2 - 2*d**2 - 5*d + 9*d.
-4*d*(d - 1)
Let o(c) be the second derivative of c**4/36 - 44*c**3/9 - 155*c**2/2 - 6529*c. Factor o(q).
(q - 93)*(q + 5)/3
Let h = 83632/5 + -16726. Suppose 0*t - 3/5*t**5 - 2/5*t**4 + 0 + 7/5*t**3 - h*t**2 = 0. Calculate t.
-2, 0, 1/3, 1
Let p(l) be the second derivative of -l**5/60 - 157*l**4/36 - 25*l**3/3 + 156*l**2 - 426*l + 12. Find w such that p(w) = 0.
-156, -3, 2
Let c be (10 - 6 - -24)*500/(-8). Let p = 8772/5 + c. Let p*d**3 + 24/5*d**4 - 16/5 - 2*d**5 - 92/5*d**2 + 72/5*d = 0. What is d?
-2, 2/5, 1, 2
Factor 5*q**4 - 215585*q - 640 - 192*q**2 - 28*q**2 + 214865*q.
5*(q - 8)*(q + 2)**2*(q + 4)
Suppose -3*n + 336 = 2*p, 2*p = -33 + 39. Let o be ((-8)/n)/(4*4/(-80)). Let 2/11*v**2 - o*v - 16/11 = 0. Calculate v.
-2, 4
Let k(b) = 19. Let f(t) = t + 39. Let v(m) = -4*f(m) + 9*k(m). Let r be v(3). Determine h, given that 16*h**3 + 12*h + 3*h**2 + 50 - 12*h**r - 14 - 23*h**2 = 0.
-1, 3
Let j be 12*((-456)/(-96) - (-7)/(-1)). Let v be (-114)/j + 4/(-18). Suppose -6/17*u**3 + 0*u**2 + 0*u + 0 + 2/17*u**5 + 4/17*u**v = 0. What is u?
-3, 0, 1
Let k(s) be the second derivative of s**7/462 + 8*s**6/165 + 21*s**5/110 - 18*s**4/11 - 81*s**3/22 - 4371*s + 3. Find i, given that k(i) = 0.
-9, -1, 0, 3
Let q(a) be the first derivative of -3*a**2/2 - 13*a + 187. Let k be q(-5). Find j such that 0*j**3 + 0 - 6/7*j**4 - 3/7*j + 3/7*j**5 + 6/7*j**k = 0.
-1, 0, 1
Let h be 24/9*(-9)/2. Let x(o) = o**2 + 11*o - 12. Let b be x(h). Factor -5*m**3 - 4 + 7*m - 2*m + 4*m**2 - m**2 + m**4 + b*m**3.
(m - 4)*(m - 1)**2*(m + 1)
Let j(o) be the second derivative of -o**5/5 + 28*o**4/3 - 338*o**3/3 - 396*o**2 - 10*o - 370. Factor j(m).
-4*(m - 18)*(m - 11)*(m + 1)
Let x = -1548241/9 + 172027. Suppose x*n**5 + 64/9 + 16/9*n**4 + 26/9*n**3 - 64/9*n - 44/9*n**2 = 0. Calculate n.
-4, -2, 1
Suppose -20*v + 17*v - 6 = -3*s, -v - 2 = 5*s. Let q(n) be the third derivative of 0 - 3*n**2 + 0*n**3 + s*n + 0*n**5 + 1/72*n**4 - 1/360*n**6. Solve q(j) = 0.
-1, 0, 1
Let t(j) be the second derivative of -j**4/20 + 23*j**3/10 + 42*j**2 + 96*j - 12. Let t(q) = 0. What is q?
-5, 28
Let v be -5 + 684*4*3/24. What is b in -1372*b**5 - 1874*b**4 + 9152*b**2 + 1024 + 5039*b - 478*b**4 + v*b + 4144*b**3 = 0?
-2, -4/7, 2
Let d(f) = -f**3 - 4*f**2 + 3*f - 3. Let b be d(-5). Let g be 2 + b/(35/15). Factor -14 + 12*q**4 + 6*q**g - 3*q**5 - 41*q**2 - 4 - q**2 - 51*q.
3*(q - 2)*(q + 1)**3*(q + 3)
Let q = -1683 - -1686. Let t be (1 - q)/(-14 - (-2290)/165). Factor 96 + t*w**3 + 24*w - 3/2*w**4 - 54*w**2.
-3*(w - 4)**3*(w + 1)/2
Let z(q) be the second derivative of -3/20*q**5 - 31/3*q**3 + 0 - 141*q + 12*q**2 + 41/12*q**4. Suppose z(x) = 0. Calculate x.
2/3, 1, 12
Let w be -2 + 4 + (3 - -1) + -3. Factor -14*c**3 - 14*c**2 - 9*c**w + 18*c + 5*c**3 - 2 + 16*c**4.
2*(c - 1)**2*(c + 1)*(8*c - 1)
Let d = -14 + 16. Suppose -d*j + 2*m = -124, -322 = -4*j - j + m. Let 45*t**4 + 20*t + 0*t**2 - 2 + 14 - 65*t**3 + 45*t**5 - j*t**2 + 8 = 0. Calculate t.
-1, -2/3, 2/3, 1
Let n = 9976 - 9968. Let m(u) be the first derivative of 0*u + n + 3/2*u**4 + 2*u**5 - 4*u**2 + 1/3*u**6 - 10/3*u**3. What is z in m(z) = 0?
-4, -1, 0, 1
Suppose -75 + 87 = -2*x. Let l(v) = 4*v**3 - 9*v**2 - 2. Let f(b) = -3*b**3 + 8*b**2 - b + 2. Let g(w) = x*l(w) - 7*f(w). Solve g(y) = 0 for y.
-2, 1/3, 1
Let c(q) be the second derivative of 5*q**5/42 - 955*q**4/63 + 4928*q**3/9 + 10976*q**2/3 + 396*q - 3. Factor c(j).
2*(j + 2)*(5*j - 196)**2/21
Let p = -12695 + 12695. Let o(k) be the third derivative of -1/40*k**6 - 1/6*k**3 + 1/8*k**4 + 1/60*k**5 + p*k - 13*k**2 + 0. Factor o(y).
-(y - 1)*(y + 1)*(3*y - 1)
Let l(z) be the second derivative of 5*z**4/12 - 155*z**3/6 + 75*z**2 - 1189*z. Factor l(x).
5*(x - 30)*(x - 1)
Factor 1053*w**3 + 220*w**2 - 2*w**4 - 1088*w**3 + 340*w - 28*w**4.
-5*w*(w + 2)**2*(6*w - 17)
Let j be 90/21 - (-290)/(-1015). Factor 0 + 48/5*q**2 + 24/5*q**3 + 0*q - 21/5*q**j + 3/5*q**5.
3*q**2*(q - 4)**2*(q + 1)/5
Let i(o) be the second derivative of -1/18*o**4 + 0 + 0*o**3 + 0*o**2 + 47*o. Let i(g) = 0. Calculate g.
0
Let j be 0/2 + (21 - (-1 - 1)). Let a = j - 21. Factor -2*g**a + g**2 - 1 + 5 - 3*g**2.
-4*(g - 1)*(g + 1)
What is b in 1/7*b**2 + 43/7*b - 44/7 = 0?
-44, 1
Let o(f) = 6*f + 58. Let r be o(-7). Factor 42*m**2 - r*m**2 - 12*m - 9*m**2 - 13*m**2.
4*m*(m - 3)
Let z(w) be the first derivative of 256 + w**2 - 1/2*w**4 - 2/5*w**5 + 2/3*w**3 + 0*w. Factor z(n).
-2*n*(n - 1)*(n + 1)**2
Let z(c) be the third derivative of -308*c**6/15 + 148*c**5/15 + 169*c**4/132 + 2*c**3/33 - 2*c**2 + 196*c + 1. Factor z(q).
-2*(7*q - 2)*(44*q + 1)**2/11
Let s = 41/1007 - -1727/7049. Solve -s*x**4 - 2/7*x**3 + 26/7*x + 2*x**2 + 12/7 = 0 for x.
-2, -1, 3
Let b(h) = 14201*h + 56840. Let j be b(-4). Solve j - 34*k**3 - 211/2*k**2 - 7/2*k**4 - 93*k = 0 for k.
-4, -3, 2/7
Suppose 15 = 14*r - 13. Suppose -10 = -r*u, -3*y - 2*u = -4*u + 4. Solve 2/5*b - 4/5 + 18/5*b**2 + y*b**4 - 26/5*b**3 = 0 for b.
-2/5, 1
Let z(h) be the second derivative of -h**4/42 + 16*h**3/3 - 12*h - 69. Factor z(g).
-2*g*(g - 112)/7
Let v(s) be the second derivative of s**4/8 + 1820*s**3 + 9937200*s**2 + 2817*s. Factor v(i).
3*(i + 3640)**2/2
Let j(p) =