3 - 704*r**3/69 + 512*r**2/23 - 99*r. Let z(t) = 0. What is t?
1, 8
Let s(p) = 3*p - 115. Let f be s(8). Let i = f - -461/5. Factor 2/5*b**4 + 0 - 6/5*b**3 - 2/5*b + i*b**2.
2*b*(b - 1)**3/5
Let k(n) be the third derivative of n**5/30 + n**4/4 - 6*n**3 - 17*n**2. Factor k(l).
2*(l - 3)*(l + 6)
What is n in -28/3*n**3 + 3*n**5 - 13/3*n - 14*n**2 + 8/3*n**4 + 2/3 = 0?
-1, 1/9, 2
Let t(j) = -j**4 + j**3 + j**2 + 1. Let r(d) = 4*d**4 + 6*d**3 + 4*d**2 - 9*d - 11. Let b(m) = 5*r(m) + 15*t(m). Suppose b(q) = 0. Calculate q.
-8, -1, 1
Let j(x) be the second derivative of -x**7/126 + x**6/90 + x**5/60 - x**4/36 - 124*x. Solve j(z) = 0 for z.
-1, 0, 1
Let c(k) be the first derivative of -12 - 2/3*k**3 + 1/5*k**4 + 0*k + 2/5*k**2. Factor c(z).
2*z*(z - 2)*(2*z - 1)/5
Let v = 1/1562 + 6638/781. Solve 2*s + 8*s**2 + 5/2*s**4 + 0 + v*s**3 = 0.
-2, -1, -2/5, 0
Let d = 2 - 0. Factor 3*y**3 - 75*y**2 + y**5 - 5*y + d*y**5 - y - 9*y**4 + 84*y**2.
3*y*(y - 2)*(y - 1)**2*(y + 1)
Factor -8/3*p - 10/9*p**2 - 8/9.
-2*(p + 2)*(5*p + 2)/9
Let r(z) be the first derivative of -z**6/540 + 2*z**5/135 - 5*z**4/108 + 2*z**3/27 - z**2/2 - 3. Let c(q) be the second derivative of r(q). Factor c(g).
-2*(g - 2)*(g - 1)**2/9
Suppose -4*g - 3*w + 16 = 0, 2*g - 12*w + 13*w - 8 = 0. Let u(z) be the second derivative of 5*z + 1/6*z**3 + 1/12*z**g + 0 - z**2. Factor u(t).
(t - 1)*(t + 2)
Suppose 94*j**3 - 5*j**5 - 183*j**3 + 92*j**3 - j**5 + 3*j**4 = 0. What is j?
-1/2, 0, 1
Let a = 1/51 - -97/255. Suppose -a*b**2 + 2/5 - 6/5*b**3 + 6/5*b = 0. What is b?
-1, -1/3, 1
Let h(g) be the third derivative of g**6/1200 + 79*g**5/600 + 31*g**4/48 + 77*g**3/60 + 341*g**2. Let h(m) = 0. Calculate m.
-77, -1
Let b be 3/(-18) + (-76)/(-24). Let k = 2093 - 2089. Factor 5/3*g**5 - 20/3*g**b + 10/3 + 0*g**k + 5*g - 10/3*g**2.
5*(g - 2)*(g - 1)*(g + 1)**3/3
Let z(p) be the first derivative of 2*p**7/315 - p**5/60 - p**4/72 - 6*p**2 - 10. Let b(h) be the second derivative of z(h). Factor b(q).
q*(q - 1)*(2*q + 1)**2/3
Let v be (1/(-8))/((-3)/(8 - -4)). Let u(n) be the second derivative of -7/32*n**4 - v*n**3 - 3/160*n**5 + 3*n**2 + 0 - 11*n. Factor u(q).
-3*(q - 1)*(q + 4)**2/8
Let v(i) be the second derivative of 0*i**2 + 0*i**3 + 36*i + 1/18*i**4 + 1/30*i**5 + 0. Solve v(a) = 0.
-1, 0
Let v = 89 + -84. Let m(w) be the first derivative of 2*w - v + 32/3*w**3 + 8*w**2. Factor m(z).
2*(4*z + 1)**2
Let w = -51944/13 - -4000. Factor 16/13 + 2/13*x**5 + 16/13*x**4 + w*x + 76/13*x**2 + 50/13*x**3.
2*(x + 1)**2*(x + 2)**3/13
Suppose s + 48 - 45 = 0. Let b be 1/s + 7/3. Factor -18/7 - b*g**2 - 2/7*g**3 - 30/7*g.
-2*(g + 1)*(g + 3)**2/7
Let s = 25316 - 75946/3. Factor 0 - 2*p**2 + s*p**3 + 4/3*p.
2*p*(p - 2)*(p - 1)/3
Let f(c) be the first derivative of -c**5 + 2*c**4 - c**3 + 22. Factor f(h).
-h**2*(h - 1)*(5*h - 3)
Suppose 0 = 5*b - s + 36, -s + 0*s + 15 = -2*b. Let c(v) = v**2 + 5*v - 11. Let g be c(b). Let 5 + 0*x**g + 8 - 6*x**3 - 5 + 22*x**2 - 24*x = 0. Calculate x.
2/3, 1, 2
Factor 0 + 2/3*s**2 - 10/3*s.
2*s*(s - 5)/3
Let p(u) be the second derivative of -8/75*u**6 + 0*u**4 - 8/25*u**5 + 0*u**2 - 1/105*u**7 + 0*u**3 - 13*u + 0. Factor p(a).
-2*a**3*(a + 4)**2/5
Let p(w) be the first derivative of -w**2 + 0*w**4 + 0*w - 1/100*w**5 - 7 + 0*w**3. Let a(r) be the second derivative of p(r). Solve a(k) = 0 for k.
0
Suppose -3*k = -5*x + 1, 3*k - 9 + 0 = 0. Find r such that -4 + 42*r**2 + 33*r**2 - 8*r - 79*r**x = 0.
-1
Let s(d) be the third derivative of 0*d + 1/330*d**5 + 7*d**2 - 1/132*d**4 + 0 + 0*d**3. Determine h so that s(h) = 0.
0, 1
Let x(d) be the second derivative of -d**7/21 + d**6/15 - 25*d. Find t such that x(t) = 0.
0, 1
Let b(c) be the second derivative of -5*c**8/1152 + 11*c**7/3024 + c**6/144 + c**4/3 - 12*c. Let a(y) be the third derivative of b(y). Factor a(g).
-5*g*(5*g - 3)*(7*g + 2)/6
Let c(h) be the second derivative of 23*h**6/6 + 25*h**5/4 + 5*h**4/6 + 100*h + 4. Suppose c(b) = 0. Calculate b.
-1, -2/23, 0
Let i(z) be the first derivative of z**6/90 - z**5/6 + 2*z**4/3 + z**3/3 + 9. Let m(y) be the third derivative of i(y). Factor m(d).
4*(d - 4)*(d - 1)
Let k(i) be the second derivative of -i**7/84 + i**5/24 + 15*i**2/2 + 24*i. Let c(r) be the first derivative of k(r). Let c(d) = 0. Calculate d.
-1, 0, 1
Find o, given that 6*o**2 - 7*o**2 - 43*o**5 - o**2 - 42*o**3 - 8*o**5 - 222*o**4 - 131*o**5 = 0.
-1, -1/7, -1/13, 0
Suppose 21*s - 18*s - 2*d = -6, -3*d + 9 = 4*s. Factor 0*b + s*b**2 - 4/3*b**4 + 0 + 8/9*b**3.
-4*b**3*(3*b - 2)/9
Let o be 72/(-756)*(-26)/(-4)*1. Let l = -1/3 - o. Suppose -4/7 + l*w**2 + 2/7*w = 0. Calculate w.
-2, 1
Let q(w) be the second derivative of 0 + 14*w + 0*w**2 - 1/66*w**4 + 0*w**3. Suppose q(n) = 0. What is n?
0
Let w(y) be the third derivative of -17/75*y**5 + 1/840*y**8 - 1/4*y**4 + 7/150*y**6 + 17*y**2 + 5/3*y**3 + 3/175*y**7 + 0 + 0*y. Suppose w(q) = 0. Calculate q.
-5, -1, 1
Suppose 3*c + 16 = 4. Let a be (-1)/c + (-66)/(-24). What is n in -6*n**2 - a*n**3 + 6*n**3 - 3*n**2 + 6*n = 0?
0, 1, 2
Find t, given that 96*t + 84*t + 18*t**2 - 63*t**2 - 176 + 20*t**2 + 21*t**2 = 0.
1, 44
Let a(h) be the first derivative of -5*h**4/12 + 121*h**3/18 - 31*h**2 + 6*h + 176. Suppose a(j) = 0. Calculate j.
1/10, 6
Let p(a) = 3*a. Let k(h) = -h**3 - h**3 + 1 + h**3 + 3*h**2 + 2*h**3. Let o be k(-3). Let j(x) = x**2 + x. Let c(b) = o*j(b) - p(b). Solve c(r) = 0 for r.
0, 2
What is u in -4 + 3*u + u**4 - 2*u**3 - 3*u**2 + 2*u + u + 2*u = 0?
-2, 1, 2
Let n(s) = -s**2 - 48*s. Let o be n(0). Suppose 0 = -4*w + 2*b + 16, w - 5*b - 18 = 2*w. What is z in -1/2*z**w + o + 0*z - 1/6*z**3 = 0?
-3, 0
Suppose 165 = 6*n + 49*n. Let a(m) be the first derivative of 5 + 3/8*m**4 + 0*m**2 - 3/10*m**5 - 1/4*m**6 + 1/2*m**n + 0*m. Suppose a(b) = 0. What is b?
-1, 0, 1
Let b(u) be the second derivative of -u**6/10 + 3*u**4 - 8*u**3 - 3*u - 20. Factor b(t).
-3*t*(t - 2)**2*(t + 4)
Let s(v) = 26*v**4 - 30*v**3 + 44*v**2 - 60*v + 32. Let i(u) = 2*u**4 - u**3 - u**2 + u. Let p(d) = 12*i(d) - s(d). Solve p(o) = 0 for o.
1, 2, 4
Let i(o) be the third derivative of -o**6/780 + o**5/78 - 7*o**4/156 + o**3/13 - 5*o**2 - o. Factor i(q).
-2*(q - 3)*(q - 1)**2/13
Let m(v) = v**3 + 6*v**2 - 2*v - 8. Let b be m(-6). Suppose -b*o + 11 = -w, 5*w - 11 = -2*o - 0*w. Factor 6*z**2 - 15*z**3 - 110*z + 120*z + 2 - o*z**3.
-2*(z - 1)*(3*z + 1)**2
Let q(j) be the third derivative of -7/15*j**5 - 10/3*j**3 + 1/30*j**6 + 11/6*j**4 + 0 + 0*j + 4*j**2. Let q(v) = 0. Calculate v.
1, 5
Let t(k) be the first derivative of k**3/21 + 3*k**2/7 - 33. Factor t(w).
w*(w + 6)/7
Suppose -2/5*n + 8/5 - 7/5*n**3 - 17/5*n**2 = 0. Calculate n.
-2, -1, 4/7
Let o be (((-15)/(-6))/(-1))/(2/(-4)). Let p(s) be the second derivative of 0 - 2*s**2 - 1/3*s**3 - o*s + 1/6*s**4. Determine x, given that p(x) = 0.
-1, 2
Let a be ((-466)/(-4))/((-33)/(-66)). Let r = 1635/7 - a. Factor 0*o + 0 - 4/7*o**5 + r*o**2 + 4/7*o**3 - 4/7*o**4.
-4*o**2*(o - 1)*(o + 1)**2/7
Let d(o) be the first derivative of 4*o + 8*o**2 - 5 + 4*o**4 + 4/5*o**5 + 8*o**3. Find y such that d(y) = 0.
-1
Let f(i) = i**3 - 14*i**2 + 27*i - 30. Let k be f(12). Suppose 9 = -k*b + 21. Factor -2/7*d - 2/7*d**3 + 4/7*d**b + 0.
-2*d*(d - 1)**2/7
Let l(t) be the first derivative of t**6/15 - 48*t**5/25 + 44*t**4/5 + 448*t**3/5 + 784*t**2/5 - 70. Find n such that l(n) = 0.
-2, 0, 14
Suppose 3*d + 2*i = -0*i + 142, 0 = d + 5*i - 56. Suppose 0 = 11*f - 9 - d. Factor 8/3*u**2 + 0*u + 16*u**4 - 12*u**3 - 20/3*u**f + 0.
-4*u**2*(u - 1)**2*(5*u - 2)/3
Suppose 2*m = -2, -w - 9*m - 4 = -5*m. Let f(u) be the second derivative of 7*u + w + 1/4*u**4 + 0*u**2 - 1/2*u**3. Factor f(c).
3*c*(c - 1)
Let m be 1/5 + 99/55. Let -f**2 + 4*f**m + 6*f - 3*f**2 - 9 + 3*f**2 = 0. Calculate f.
-3, 1
Solve -49/2*b**2 - 7*b**3 - 1/2*b**4 + 0 + 0*b = 0.
-7, 0
Let o(f) be the first derivative of -f**6/6 + 8*f**5/5 - 4*f**4 + 2*f**3/3 + 17*f**2/2 - 10*f - 775. Suppose o(u) = 0. Calculate u.
-1, 1, 2, 5
Let a(u) be the first derivative of -u**4/36 - 32*u**3/27 + 35*u**2/18 + 22*u/3 - 465. Factor a(o).
-(o - 2)*(o + 1)*(o + 33)/9
Let n = -52/43 - -405/86. Find t, given that 0*t + t**2 + n*t**3 + 0 = 0.
-2/7, 0
Let o be (11 - 1) + (-4)/(-2). Let y = -10 + o. Factor -j - 3*j + 53*j**2 - 47*j**y - 2*j**3.
-2