81/(4536/(-128)). Suppose 3*p + 0 + 6/5*p**v + 21/5*p**2 = 0. What is p?
-5/2, -1, 0
Let c = 125946 - 125944. Solve 48/5*d + 3/5*d**c - 51/5 = 0 for d.
-17, 1
Let q(f) be the first derivative of -f**5 - 45*f**4/4 - 45*f**3 - 135*f**2/2 + 1016. Suppose q(c) = 0. What is c?
-3, 0
Let t = -624/1333 - -31596/33325. Suppose 0 + t*c**2 - 2/5*c - 2/25*c**3 = 0. Calculate c.
0, 1, 5
Let a(q) be the second derivative of q**7/4410 - q**6/252 + q**4/6 - 11*q**3/6 + 75*q. Let y(h) be the third derivative of a(h). Factor y(v).
4*v*(v - 5)/7
Let x(y) be the first derivative of -y**3 - 3663*y**2/2 + 2536. Determine v, given that x(v) = 0.
-1221, 0
Let a(r) be the first derivative of 3/10*r**5 - 3/8*r**4 + 14 + 0*r - 1/12*r**6 + 0*r**2 + 1/6*r**3. Solve a(z) = 0 for z.
0, 1
Let c(o) be the third derivative of -o**8/112 - 3*o**7/70 + 17*o**6/20 - 13*o**5/5 - 3*o**4 + 32*o**3 - 5578*o**2. Factor c(u).
-3*(u - 2)**3*(u + 1)*(u + 8)
Let a(j) be the third derivative of -5*j**8/336 + 359*j**7/42 - 715*j**6/24 + 119*j**5/4 - 14*j**2 + j - 13. Find g such that a(g) = 0.
0, 1, 357
Suppose 55 = 15*n - 4*n. Let b be (n + 0)/(11/((-22)/(-3))). Factor 6 - 2/3*x**3 - b*x**2 - 2*x.
-2*(x - 1)*(x + 3)**2/3
Find i, given that 81*i**2 - 11 + 121*i + 20 + 6*i**3 - 10*i + 27 = 0.
-12, -1, -1/2
Let o(q) be the first derivative of -4 + 14*q**2 + 1/6*q**3 + 392*q. What is r in o(r) = 0?
-28
Let g(l) be the third derivative of -1/280*l**6 + 0 + 0*l**3 - 61*l**2 - 2*l + 15/56*l**4 + 1/70*l**5. Factor g(a).
-3*a*(a - 5)*(a + 3)/7
Let r = 5261 - 5259. Let a(p) be the first derivative of 1/3*p**3 + 3 - p**r + 0*p. Factor a(i).
i*(i - 2)
Let x(u) = 2*u**2 + 12*u + 64. Let a(c) = -c**2 - 9*c - 66. Let z(m) = -6*a(m) - 4*x(m). Factor z(t).
-2*(t - 10)*(t + 7)
Suppose 0 = i + i + 8, -3*x + 8 = i. Find a such that -40*a + 522*a**2 + x*a**3 + 24 + a**4 - 3*a**4 - 508*a**2 = 0.
-3, 1, 2
Let a(l) be the first derivative of -5*l**3/7 + 1818*l**2/7 - 1452*l/7 - 5702. Find x such that a(x) = 0.
2/5, 242
Determine d so that 1/7*d**5 + 0*d**3 - 17/7*d**4 + 0 + 236/7*d**2 + 320/7*d = 0.
-2, 0, 5, 16
Let j = -4452 - -4456. Let l(b) be the second derivative of -5/12*b**j + 4*b + 0 - 90*b**2 - 10*b**3. Suppose l(y) = 0. What is y?
-6
Let a(k) = 26*k**4 + 111*k**3 + 29*k**2 - 244*k + 57. Let r(p) = 14*p**4 + 56*p**3 + 14*p**2 - 124*p + 28. Let t(x) = 4*a(x) - 7*r(x). Let t(c) = 0. What is c?
-8, -2, 1/3, 1
Let v(w) be the third derivative of 0*w**3 + 0*w**4 + 0*w**5 + 0*w - 8*w**2 - 1/40*w**6 - 3. Let v(x) = 0. Calculate x.
0
Let p(w) = w**3 - 16*w**2 - 820*w + 6183. Let g be p(7). Factor -2/19*s**3 - 12/19 - 2/19*s + 8/19*s**g.
-2*(s - 3)*(s - 2)*(s + 1)/19
Let v(s) = -s**3 - 159*s**2 + 17*s + 27654. Let q be v(-158). Solve 16*l + 4/9*l**q - 16/3*l**3 + 0 + 92/9*l**2 = 0.
-1, 0, 4, 9
Let v(z) be the first derivative of -z**3 - 1851*z**2/2 - 232. Factor v(b).
-3*b*(b + 617)
Let t(q) be the third derivative of 9/10*q**5 - 9/4*q**4 + 0 + 0*q - 27*q**3 + 2/105*q**7 + 1/4*q**6 - 78*q**2. Suppose t(u) = 0. Calculate u.
-3, 3/2
Let l = 29 - -147. Factor 2*o**2 + 8*o**2 - 56*o + l*o + 15*o**2 - 5*o**3.
-5*o*(o - 8)*(o + 3)
Let k(z) be the first derivative of 6*z + 9 + 3/2*z**2 - z**3. Find m, given that k(m) = 0.
-1, 2
Suppose 4*u - 79 = 1. Let m be (-46)/(-253) + u/11. Factor 3*p**m - 7*p - p**2 - p**2 + 6*p.
p*(p - 1)
Let f(o) be the second derivative of -o**7/2100 - 7*o**6/900 + 2*o**5/75 - 53*o**3/6 - o**2/2 + 4*o + 3. Let u(c) be the second derivative of f(c). Factor u(n).
-2*n*(n - 1)*(n + 8)/5
Suppose 4*p + 3 = 4*y - 7*y, 6*y = 5*p + 33. Let w(s) be the first derivative of -29 + 5/11*s**2 - 4/11*s + 8/11*s**y. Let w(o) = 0. What is o?
-2/3, 1/4
Solve 54/7*q**3 - 3/7*q**4 + 456/7*q - 36*q**2 - 288/7 = 0.
2, 12
Let k(r) be the second derivative of r**7/168 + 19*r**6/120 + 67*r**5/40 + 217*r**4/24 + 211*r**3/8 + 315*r**2/8 - 53*r. What is z in k(z) = 0?
-7, -5, -3, -1
Let n(k) be the third derivative of -k**8/504 + 107*k**7/315 + 22*k**6/9 + 74*k**5/15 + 19*k**2 - 136. Factor n(z).
-2*z**2*(z - 111)*(z + 2)**2/3
Let t(r) = 15*r**4 + 45*r**3 - 9*r**2 + 57*r - 36. Let g(z) = -z**4 - 3*z**3 + z**2 - 2*z + 1. Let j(m) = -18*g(m) - t(m). Find d such that j(d) = 0.
-3, -2, 1
Let g be ((-2)/(-590)*3)/((-54)/(-60)). Let p = 21/118 - g. Suppose 0 - p*k**3 - 1/6*k**2 + 1/6*k**4 + 1/6*k = 0. What is k?
-1, 0, 1
Let q(g) be the first derivative of -3/20*g**5 + 1/4*g**3 - 41 + 0*g + 0*g**4 + 0*g**2. Factor q(w).
-3*w**2*(w - 1)*(w + 1)/4
Let v(r) be the third derivative of r**5/180 - 129*r**4/4 + 149769*r**3/2 - 29*r**2 + 38. Suppose v(p) = 0. Calculate p.
1161
Let f = 1438 - 1447. Let a be f/(-2)*292/657. Let -8/9*r + 16/9 + 2/9*r**3 - 4/9*r**a = 0. What is r?
-2, 2
Factor 5350/9*p - 7155625/9 - 1/9*p**2.
-(p - 2675)**2/9
Let p(c) be the first derivative of c**6/21 - 6*c**5/35 - 32*c**4/7 + 152*c**3/7 + 288*c**2/7 + 11251. Determine i so that p(i) = 0.
-8, -1, 0, 6
Let b be (0*(-38)/836)/12. Suppose -2/3*r + b - 1/3*r**2 = 0. Calculate r.
-2, 0
Let y(k) = -5*k**2 - 267*k - 2476. Let d(f) = 5*f**2 + 275*f + 2475. Let o(g) = -4*d(g) - 5*y(g). Factor o(b).
5*(b + 16)*(b + 31)
Let g(t) be the third derivative of -5*t**8/84 - 22*t**7/35 - 43*t**6/30 - t**5 - 27*t**2 + 8. Find v such that g(v) = 0.
-5, -1, -3/5, 0
Let c(s) = -s - 16. Let o be c(9). Let a be (-160)/o - (4 - -2). Find b, given that -6/5*b + a*b**2 + 0 = 0.
0, 3
Let r = -8116799/240 - -33820. Let i(f) be the third derivative of 0 + 1/96*f**4 - 18*f**2 + 0*f - 1/12*f**3 + r*f**5. Let i(y) = 0. Calculate y.
-2, 1
Let u(b) be the first derivative of -b**5/80 - 13*b**4/96 + 5*b**3/12 - 103*b**2 + 279. Let r(y) be the second derivative of u(y). Solve r(z) = 0 for z.
-5, 2/3
Let b(o) = -o**2 - 6*o + 3. Let m = 34 - 33. Let a(d) = m + 2 - 8*d - 3*d + 5*d. Let f(q) = -4*a(q) + 3*b(q). Determine x, given that f(x) = 0.
1
Solve -42 - 136/15*d - 2/15*d**2 = 0.
-63, -5
Let o(v) = 3*v**2 + 24*v - 27. Let y(u) be the second derivative of -u**4/4 - 25*u**3/6 + 14*u**2 - 4*u + 3. Let i(g) = 4*o(g) + 3*y(g). Factor i(c).
3*(c - 1)*(c + 8)
Let g(m) be the second derivative of m**7/14 + 24*m**6/5 + 99*m**5 + 484*m**4 + 2*m - 433. Suppose g(x) = 0. Calculate x.
-22, -4, 0
Let y(v) = -8*v - 32. Let i be y(-11). Let w = i + -54. Determine z, given that 57*z + z**3 + 3*z**3 + z**2 + 7*z**w - 8 - 61*z = 0.
-2, -1, 1
Let j(v) = 3*v**3 + 57*v**2 + 126*v + 108. Let s(a) = a**2 + a + 3. Let f(o) = -j(o) + 12*s(o). Factor f(k).
-3*(k + 1)*(k + 2)*(k + 12)
Solve 35*q**2 - 68*q - 1/2*q**3 + 0 = 0.
0, 2, 68
Let b**2 - 17*b + 357 + 5*b - 139 - 76*b + 37 = 0. Calculate b.
3, 85
Let j = 543002/35 - 77571/5. Factor -5184/7 - j*b**2 - 144/7*b.
-(b + 72)**2/7
Let t(w) = w**2 + 87*w - 858. Let h be t(9). Let f(d) be the second derivative of 49/5*d**5 - 77/3*d**4 - h*d + 64/3*d**3 + 0 - 8*d**2. Solve f(n) = 0 for n.
2/7, 1
Let k(l) be the third derivative of l**6/160 - 13*l**5/20 + 805*l**4/32 - 1587*l**3/4 - 606*l**2. Solve k(h) = 0 for h.
6, 23
Let d(b) be the first derivative of b**4/30 - 44*b**3/9 + 3233*b**2/15 - 22472*b/15 - 201. Factor d(l).
2*(l - 53)**2*(l - 4)/15
Let l(v) be the first derivative of -2*v**3/39 - 1630*v**2/13 - 1328450*v/13 + 1510. Factor l(p).
-2*(p + 815)**2/13
Let k be (1 - 6/21) + 922/(-6454). Factor -700 - 40*d - k*d**2.
-4*(d + 35)**2/7
Let t(g) = -6*g**2 - 138*g + 363. Let i(c) = 11*c**2 + 276*c - 652. Let l(z) = 3*i(z) + 5*t(z). Let l(u) = 0. What is u?
-47, 1
Find c such that 284*c**3 + 56*c**5 + 373*c**2 - 64*c**4 - 52*c**5 - 576*c - 597*c**2 = 0.
-1, 0, 4, 9
Factor 4/5*y + 2/5*y**2 + 0 - 4/5*y**3 - 2/5*y**4.
-2*y*(y - 1)*(y + 1)*(y + 2)/5
Let v be (3 + 7)/5 + 5 + 0. Factor 12*j + v + 2*j**2 + 13 - 20.
2*j*(j + 6)
Factor -5732*r + 0*r**3 - r**3 - 25*r**2 + 11566*r - 5721*r - 87.
-(r - 3)*(r - 1)*(r + 29)
Let x be -2 - -4 - ((-12)/4 - 4). Suppose -z - m = -3*z + 3, -x = 5*z + 3*m. Find n such that 5/3*n + z + 1/3*n**3 + 2*n**2 = 0.
-5, -1, 0
Let j = -775 - -1951/3. Let c = j - -125. Determine i, given that 0 - 1/3*i + c*i**2 + 2/3*i**3 = 0.
-1, 0, 1/2
Let i(p) be the second derivative of 5*p**6/72 + 9*p**5/2 + 243*p**4/2 - 20*p**3/3 + p**2 - 41*p. Let g(o) be the second derivative of i(o). Factor g(u).
(5*u + 54)**2
Let g(o) = o**3 + 4*o**2 - 4*o + 1. Let n be g