 1/3*q**2 = 0. Calculate q.
-5, -1
Let c(s) = -s**3 - 4*s**2 + s + 12. Let h be c(-3). Suppose h = 19*d - 11*d - 40. Find v such that -2*v**4 - 2/3*v**2 + 0 - 2*v**3 + 0*v - 2/3*v**d = 0.
-1, 0
Let n(j) = -j**3 - 26*j**2 - 49*j + 8. Let a be n(-24). Let b = 127 - a. Find p such that -2*p**4 + 5*p - 97 + b - 3*p**2 - p**3 + 3*p**4 = 0.
-2, 1
What is g in 0 - 2560/9*g**2 - 819200/9*g - 2/9*g**3 = 0?
-640, 0
Let n(g) = 32*g - 892. Let d be n(28). Let w(p) = p**2 - 13*p + 15. Let b be w(12). Let 0 + 1/7*h**d + 4/7*h**b + 0*h + 4/7*h**2 = 0. What is h?
-2, 0
Let h(v) = 20*v**3 + 1940*v**2 + 5872*v + 3952. Let i(n) = -8*n**3 - 647*n**2 - 1957*n - 1318. Let q(s) = -3*h(s) - 8*i(s). Determine r so that q(r) = 0.
-2, -1, 164
Let p(o) be the third derivative of -o**6/600 + 53*o**5/120 + 101*o**4/60 - 67*o**3/15 - 5*o**2 - 44*o - 2. Determine n so that p(n) = 0.
-2, 1/2, 134
Let v(b) = 8*b + 21. Let f be v(-2). Let a(i) be the first derivative of 0*i + 31/5*i**f - i**2 - 17 + 14/3*i**3 - 7/4*i**6 - 65/8*i**4. Solve a(n) = 0.
0, 2/7, 2/3, 1
Suppose -m = 3*t + 7, 0 = -2*t + 6*t + 4. Let f be ((-1125)/(-700))/(m/((-192)/9)). Factor -4*g**5 + 0 - f*g**3 + 4/7*g**2 + 76/7*g**4 + 8/7*g.
-4*g*(g - 1)**3*(7*g + 2)/7
Let a = 172814 - 172814. Factor 8/9*d**2 + 2/9*d**3 + 8/9*d + a.
2*d*(d + 2)**2/9
Let f(k) be the second derivative of 57/40*k**5 + 0*k**4 + 0 - 1/60*k**6 + 0*k**2 + 115*k + 0*k**3. Let f(c) = 0. Calculate c.
0, 57
Let h(k) be the first derivative of 2*k**3/11 - 3530*k**2/11 - 214*k - 4771. Solve h(c) = 0 for c.
-1/3, 1177
Let m(r) be the second derivative of r**6/30 - 9*r**5/10 + 20*r**4/3 + 644*r + 2. Factor m(t).
t**2*(t - 10)*(t - 8)
Let b(q) be the third derivative of q**5/12 - 30*q**3 + 1273*q**2. Factor b(x).
5*(x - 6)*(x + 6)
Let a(n) be the second derivative of -n**4/12 + 22*n**3/3 - 259*n**2/2 + 881*n. Factor a(w).
-(w - 37)*(w - 7)
Determine h, given that -52/17*h - 150/17 + 98/17*h**2 = 0.
-1, 75/49
Let s be (-27034)/40 + 369/615. Let z = 676 + s. Factor 3/4*p**4 + z*p + 3/2 - 9/4*p**2 - 3/4*p**3.
3*(p - 2)*(p - 1)*(p + 1)**2/4
Let v = -8806 - -8810. Let c(l) be the second derivative of 0 + 1/13*l**2 - 8*l + 3/26*l**v - 2/13*l**3. Find q such that c(q) = 0.
1/3
Let r be 18/10*-1*(-10)/6. Factor -r*q**2 - 2*q**3 + 6*q**2 - 2 - q**2 + 2*q.
-2*(q - 1)**2*(q + 1)
Let h(n) = -n**2 + 76*n - 75. Let s be h(75). Let c(g) be the third derivative of 5/24*g**4 + 0*g + 1/30*g**5 + 16*g**2 + s - 1/2*g**3. Factor c(p).
(p + 3)*(2*p - 1)
Find x, given that -164/17*x**3 + 616/17 + 786/17*x**2 + 2/17*x**4 - 1240/17*x = 0.
1, 2, 77
Let u(m) be the first derivative of m**4/132 - 2*m**3/11 - 14*m**2/11 + 48*m - 37. Let b(j) be the first derivative of u(j). Suppose b(d) = 0. What is d?
-2, 14
Suppose 0 = s + 5, 2*s = -3*x + 39 + 26. Suppose -x*o - o + 52 = 0. Determine a, given that -1/3*a**4 - 8/3 + 1/3*a**3 + 2*a**o - 4/3*a = 0.
-2, -1, 2
Suppose 0 = 69*f - 3349 + 1560 + 1582. Factor -3 - 9/4*v**f - 15/4*v**2 + 8*v.
-(v + 3)*(3*v - 2)**2/4
Suppose -891*t + 3612*t = 892488. Factor 650/3*h + 36 + t*h**2 + 6*h**3.
2*(h + 54)*(3*h + 1)**2/3
Let i = 308773/36 + -8577. Let u(g) be the second derivative of -1/18*g**3 + 1/60*g**5 - i*g**4 + 23*g + 0 + 1/6*g**2. Determine z, given that u(z) = 0.
-1, 1
Let g(f) = -f**2 + 197*f - 354. Let y be g(195). Factor -3/7*z**3 - 1008*z - 9408 - y*z**2.
-3*(z + 28)**3/7
Let c = 469659/2348245 - 2/469649. Determine j so that 2/5*j**4 - j**3 - c*j + 0 + 4/5*j**2 = 0.
0, 1/2, 1
Factor -16/5*x**2 - 18/5*x + 2/5*x**3 + 0.
2*x*(x - 9)*(x + 1)/5
Suppose -1684*i - 59 = -1742*i + 115. Factor 4/9*g**i + 0*g + 1/9*g**4 + 4/9*g**2 + 0.
g**2*(g + 2)**2/9
Let n(o) = -26*o**3 + 1106*o**2 + 1121*o - 11. Let x(c) = -9*c**3 + 369*c**2 + 374*c - 4. Let g(t) = 4*n(t) - 11*x(t). Factor g(s).
-5*s*(s - 74)*(s + 1)
Let c(f) be the second derivative of -f**7/21 - 22*f**6/15 - 53*f**5/10 + 38*f**4/3 + 1017*f. Solve c(w) = 0.
-19, -4, 0, 1
Let u = 623863/67715 - 177/13543. What is k in 61/5*k**3 - 32*k - 128/5 + 1/5*k**5 + u*k**2 - 16/5*k**4 = 0?
-1, 2, 8
Let j be 4/(-26) - 54461/143. Let m = -376 - j. Factor 0*d**4 + 3/7*d**3 + 0 + 0*d + 0*d**2 - 3/7*d**m.
-3*d**3*(d - 1)*(d + 1)/7
Suppose -2*d - 15 = -3*d. Let i be d/(-3)*(-16)/40. Factor x**i - 13 - x + 25 - 14.
(x - 2)*(x + 1)
Let v(s) be the second derivative of s**7/420 + s**6/75 - 51*s**5/200 - 9*s**4/20 + 4774*s. Solve v(u) = 0.
-9, -1, 0, 6
Let j(y) be the second derivative of -y**6/15 + y**5/10 + y**4/2 - y**3/3 - 2*y**2 - y + 1737. Suppose j(l) = 0. Calculate l.
-1, 1, 2
Let f be (5 + 23/((-92)/24))/(5/(-1)). Factor -f*c**3 + 0 - 9/5*c - 6/5*c**2.
-c*(c + 3)**2/5
Suppose -4*f = -r + f + 43, 29 = r + 2*f. Let l = -31 + r. Factor 2*m**5 + 3*m**2 + 8*m**3 + 2*m**5 + 2*m**l - 16*m**4 + 11*m**2 - 12*m.
4*m*(m - 3)*(m - 1)**2*(m + 1)
Let p(z) = -2*z**2 + 8*z + 13. Suppose 75 = 15*r - 0*r. Let k be p(r). Let -14*n - 9 + 16*n**2 + 8 - 6*n**k + 5 = 0. Calculate n.
2/3, 1
Let p = 1021/2316 + -14/579. Let s(m) be the second derivative of 0 - 5*m + 5/3*m**3 - p*m**4 + 0*m**2. Determine a so that s(a) = 0.
0, 2
Let h = -492207 - -492207. Solve h + 2/5*a + 2/5*a**2 = 0 for a.
-1, 0
Find k such that -k**2 + 240 + 2*k**2 - 70*k + 203*k - 4*k**2 - 100*k = 0.
-5, 16
Let o be -5 - (-58 + (5 - 7)). Suppose 16*l**3 - 19 - 51*l + 8*l**4 + 4*l**2 + o - 33*l + 40*l**3 - 20*l**3 = 0. Calculate l.
-3, 1/2, 1
Let u = 53/24 + -17/24. Let l(q) be the second derivative of -1/12*q**4 + 0 + 9*q + u*q**2 - 1/3*q**3. Factor l(d).
-(d - 1)*(d + 3)
Let t = 21 - 19. Suppose 4*v + 5 = 29. Suppose -v*n - 7*n + 0*n**t + 5*n**2 + 3*n = 0. What is n?
0, 2
Let l(k) be the second derivative of 1/2*k**2 - 2*k - 1/24*k**4 + 56 + 1/12*k**3. Factor l(v).
-(v - 2)*(v + 1)/2
Let d(k) be the second derivative of k**7/210 - k**6/50 - k**5/10 - k**4/30 + 3*k**3/10 + k**2/2 + 3053*k. Suppose d(u) = 0. What is u?
-1, 1, 5
Suppose -5*a + 185 = p, -8*a = -4*a + 4*p - 164. Let a + 180 + 29 + 5*h**2 - 70*h = 0. Calculate h.
7
Let z(n) be the third derivative of -3*n**5/80 + 11*n**4/32 - 3*n**3/4 + 4023*n**2. Suppose z(o) = 0. Calculate o.
2/3, 3
Let m(v) be the third derivative of -v**5/12 - 5*v**4/6 + 195*v**3/2 - 206*v**2. What is u in m(u) = 0?
-13, 9
Factor 0*j + 0*j**2 + 1/3*j**5 + 0 + 0*j**4 - 1/3*j**3.
j**3*(j - 1)*(j + 1)/3
Let i(z) be the third derivative of -z**6/660 + 2*z**5/5 - 44*z**4 + 7744*z**3/3 - 1731*z**2. Solve i(f) = 0 for f.
44
Let t(k) be the first derivative of 1/3*k**3 + 5 + 0*k**2 - 17*k - 1/24*k**4. Let l(c) be the first derivative of t(c). Factor l(b).
-b*(b - 4)/2
Let l = -261 + 263. Factor -28*k - 13*k + 2*k**l + 200 - 9*k + 10*k.
2*(k - 10)**2
Let t(h) be the second derivative of h**6/30 + 17*h**5/20 + 31*h**4/6 - 40*h**3/3 + 2765*h. Let t(s) = 0. Calculate s.
-10, -8, 0, 1
Find u, given that 31*u + 13/3*u**3 - 6 - 68/3*u**2 = 0.
3/13, 2, 3
Let d(p) = 35*p**2 - 14*p**2 - 11*p**2 - 12*p**2 - 7*p**2 + 42*p + 27. Let o(x) = 18*x**2 - 85*x - 53. Let v(n) = 7*d(n) + 3*o(n). Factor v(r).
-3*(r - 5)*(3*r + 2)
Factor 37*k**2 + 333 + 43*k**2 - 9*k - 79*k**2 + 55*k.
(k + 9)*(k + 37)
Let p(t) be the first derivative of -4*t**3/15 + 52*t**2/5 + 108*t/5 - 430. What is l in p(l) = 0?
-1, 27
Let -5*d**4 - 15*d**3 + 279*d + 155*d - 30*d**2 - 134*d + 170*d**2 = 0. Calculate d.
-6, -2, 0, 5
Suppose 2*n - 28 = -24. Let u be 378/108 + n/(-4). Suppose -6/7*b - 2/7*b**u + 0 + 8/7*b**2 = 0. Calculate b.
0, 1, 3
Factor -49/5*m**2 - 209/5*m - 159/5 + 1/5*m**3.
(m - 53)*(m + 1)*(m + 3)/5
Suppose 5*s = -o - 5, -36 = 2*o - 26. Let q(a) be the second derivative of -27*a - 1/9*a**4 + s - 1/60*a**5 + 2/3*a**2 + 1/18*a**3. Find j, given that q(j) = 0.
-4, -1, 1
Let l(n) = 9*n + 2. Let f be l(0). Solve -3*q**3 + 2*q**3 + 33*q**2 - 35*q**f = 0.
-2, 0
Let k(f) = -f**3 + 6*f**2 - 3*f. Let z = -6 - -8. Let q(o) = -6*o**z + 0*o + 5*o**2 + 0*o + o. Let m(y) = -2*k(y) - 6*q(y). Factor m(l).
2*l**2*(l - 3)
Let o be (14 - 15)*(3 + 568). Let a = -569 - o. Determine u so that -18/11*u - 2/11 - 32/11*u**3 - 48/11*u**a = 0.
-1, -1/4
Let x = 8/11211 + 1235/14948. Let b(m) be the second derivative of 0*m**2 - 9 - 1/60*m**5 + x*m**4 - 2*m - 1/9*m**3. Factor b(v).
-v*(v - 2)*(v - 1)/3
Let d(s) be the second derivative of s**7/21 - 21*s**6/5 + 96*s**5 + 512*s**4/3 -