*(r - 4)*(r - 1)**2/3
Suppose 6 = 5*r - 3*r. Let x(t) = -t + 8. Let m be x(8). Solve -n - 6 + m*n**2 + r*n**2 + 0*n - 2*n = 0 for n.
-1, 2
Let t be ((-3)/(-2))/(29/(-1044)). Let m = t + 54. Let -10/7*j**5 + 0*j - 4/7*j**4 + 10/7*j**3 + 4/7*j**2 + m = 0. What is j?
-1, -2/5, 0, 1
Let f(w) be the first derivative of -w**5/5 - w**4/4 + w**3/3 + w**2/2 + 12. Let b(c) = -2*c**4 - 5*c**3 - 2*c**2 + c. Let k(x) = -b(x) + f(x). Factor k(t).
t**2*(t + 1)*(t + 3)
Suppose -116*f - 1129 + 1477 = 0. Determine x so that 0 + 4/21*x + 2/21*x**2 - 2/21*x**f = 0.
-1, 0, 2
Find h such that -1125*h**2 - 34*h**4 + 3*h + 65*h**4 - 26*h**4 - 5*h**5 - 3*h + 325*h**3 = 0.
-9, 0, 5
Suppose -70*i = -72*i + 3*a, -4*i - 4*a = 0. Find u, given that i - 4/9*u**2 - 4/3*u = 0.
-3, 0
Let w(p) = p**2 - 8*p + 8. Let m be (-70)/(-15)*(-6)/(-4). Let d be w(m). Determine g so that d - 3*g**2 - 4 + 4 + 2 = 0.
-1, 1
Factor 12*n**3 + 16*n**2 - 8*n**3 + 4*n - 8*n**2.
4*n*(n + 1)**2
Let o(f) = -7*f + 30. Let k be o(4). Let -6 - k*v + 9*v**2 + 19*v**4 - 3*v**3 - 22*v**4 + 5*v = 0. What is v?
-2, -1, 1
Let b be ((-5)/((-50)/12))/(56/35). Let o(m) be the second derivative of -b*m**4 + 3/2*m**3 + 0 - 4*m - 3/2*m**2 + 3/20*m**5. Let o(l) = 0. Calculate l.
1
Let h(o) = -1132*o**3 - 321*o**2 - 2*o + 8. Let n(c) = 10190*c**3 + 2890*c**2 + 20*c - 70. Let a(s) = -35*h(s) - 4*n(s). Find u, given that a(u) = 0.
-1/4, -2/57, 0
Let q be (-12)/(-24) - 3/(-2). Determine x so that -4*x**3 + 0*x - 8*x - 10*x**2 - 2*x**q = 0.
-2, -1, 0
Let i = -110 + 112. Factor -x**i + 4*x**2 + 65 - x**2 - 69 - 2*x.
2*(x - 2)*(x + 1)
Let o = -4083/308 + 147/11. Let x(n) be the first derivative of 0*n**2 - 1/14*n**6 - 6/35*n**5 + 0*n - 2 + 0*n**3 - o*n**4. Find k such that x(k) = 0.
-1, 0
Let i(j) be the first derivative of j**4/14 + 12*j**3/7 + 81*j**2/7 + 94. Factor i(s).
2*s*(s + 9)**2/7
Let b(i) be the third derivative of 5/2*i**3 + 5*i**2 + 0*i + 0 + 11/8*i**4 + 7/20*i**5 + 1/40*i**6. Suppose b(c) = 0. What is c?
-5, -1
Let r(x) be the second derivative of -x**7/315 + 8*x**6/225 - 11*x**5/150 - 4*x**4/45 + 4*x**3/15 + 63*x. Suppose r(s) = 0. Calculate s.
-1, 0, 1, 2, 6
Let o(x) be the first derivative of -x**6/30 + 2*x**5/5 + x**4/6 - 4*x**3 - x**2/2 - 11. Let g(d) be the second derivative of o(d). Factor g(l).
-4*(l - 6)*(l - 1)*(l + 1)
Suppose -4*c - 3*u = -35, 0 = -5*c + u + 48 - 9. Suppose -f = -v, 3*f - v = -2*v + c. Factor 6*k**2 + f*k**3 - k**3 + 2*k**3.
3*k**2*(k + 2)
Let d(z) = 7*z**5 - 112*z**4 + 248*z**3 - 8*z**2 + 8. Let g(a) = -2*a**5 + 37*a**4 - 83*a**3 + 3*a**2 - 3. Let s(w) = 3*d(w) + 8*g(w). What is u in s(u) = 0?
0, 4
Suppose -8 = 94*w - 96*w. Factor -c**5 + 2*c**3 - 11*c**4 - c + 11*c**w.
-c*(c - 1)**2*(c + 1)**2
Let f(w) be the third derivative of -w**5/240 + w**4/4 + 13*w**3/6 - 2*w**2 + 77*w. What is g in f(g) = 0?
-2, 26
Let q(k) be the second derivative of -k**4/30 + 14*k**3/15 + 3*k**2 - 3*k - 9. Factor q(u).
-2*(u - 15)*(u + 1)/5
Let u(h) = 6*h**2 + 48*h + 15. Let r(j) = j**2 + 7*j + 2. Suppose -21 = 5*f - 156. Let x(l) = f*r(l) - 4*u(l). Factor x(y).
3*(y - 2)*(y + 1)
Factor -11*m**3 - 206*m - 5*m**4 - 44*m**3 - 2369*m**2 + 81*m + 2194*m**2.
-5*m*(m + 1)*(m + 5)**2
Let o(w) be the third derivative of 2*w**7/105 + 9*w**6/10 + 193*w**5/15 + 39*w**4/2 - 676*w**3/3 + 173*w**2. Factor o(x).
4*(x - 1)*(x + 2)*(x + 13)**2
Suppose 0 = -5*o - 61*o + 330. Let i(v) be the third derivative of -1/75*v**6 + 0*v**3 + 0 + 1/25*v**o + 0*v - 7*v**2 - 1/30*v**4. Factor i(d).
-4*d*(d - 1)*(2*d - 1)/5
Suppose b = 3*c - b - 1267, 0 = 5*b - 20. Let s be (51/c)/((-18)/(-20)). What is k in s*k**3 - 2/15*k**2 + 2/15 - 2/15*k = 0?
-1, 1
Let -9/7*m + 30/7 - 3/7*m**2 = 0. What is m?
-5, 2
Let o(x) be the second derivative of x**7/126 + x**6/30 - x**4/9 + 272*x. Find d such that o(d) = 0.
-2, 0, 1
Let b(k) be the third derivative of 0 + 0*k - 1/300*k**6 - 4*k**2 - 9/5*k**3 - 9/20*k**4 - 3/50*k**5. Factor b(n).
-2*(n + 3)**3/5
Suppose 0 = -4*d - 4*s + 16, d + 2*s - 6 = -2. Let t(x) be the second derivative of x + 0 - 1/4*x**d - 3*x**3 - 27/2*x**2. Factor t(v).
-3*(v + 3)**2
Let b(p) = -3*p - 42. Let o be b(-22). Let h be 3*o/9*(-1)/(-4). Factor -16/9*y**h - 8/3*y - 1.
-(4*y + 3)**2/9
Factor 7/3*o - 1/3*o**2 - 10/3.
-(o - 5)*(o - 2)/3
Factor -192/5*n - 2/5*n**3 + 54/5*n**2 - 512.
-2*(n - 16)**2*(n + 5)/5
Let x(w) be the third derivative of w**6/60 - 28*w**5/15 + 53*w**4/3 - 208*w**3/3 + 374*w**2. Let x(j) = 0. Calculate j.
2, 52
Let x(y) = y**3 - 1. Let p(k) = 2*k**4 + k**3 - 6*k**2 - 5. Let r(q) = -p(q) + 5*x(q). Find i such that r(i) = 0.
-1, 0, 3
Let u(o) be the second derivative of o**6/160 + o**5/20 + o**4/8 + 11*o**2 - 25*o. Let l(x) be the first derivative of u(x). Factor l(q).
3*q*(q + 2)**2/4
Determine b so that -4120/7*b**3 + 50*b**4 - 126 + 6340/7*b**2 - 8/7*b**5 - 240*b = 0.
-1/4, 1, 21
Determine k, given that -24/13*k + 0*k**2 + 2/13*k**3 - 32/13 = 0.
-2, 4
Let x(w) be the first derivative of -2*w**3/9 + 28*w**2 - 1176*w + 184. Factor x(r).
-2*(r - 42)**2/3
Let s(p) = -p**2 + 8*p + 4. Let f be s(8). Suppose -f*b + 14 = 2*m, -b - 16 = -4*b + 4*m. Factor 20/7*d**b + 4/7*d**5 + 40/7*d**3 + 20/7*d + 40/7*d**2 + 4/7.
4*(d + 1)**5/7
Let q(u) be the third derivative of -u**6/840 + 3*u**5/140 - 5*u**4/56 - 25*u**3/42 - 48*u**2. Let q(l) = 0. What is l?
-1, 5
Let d = 1332 + -1327. Determine j so that 2/7*j**d - 6/7*j**3 + 0*j + 4/7*j**2 + 0 + 0*j**4 = 0.
-2, 0, 1
Let t(r) be the first derivative of -r**3/27 + r**2/3 - 122. Factor t(o).
-o*(o - 6)/9
Let j(h) be the second derivative of -h**7/3780 - h**6/405 + h**5/108 + 14*h**3/3 - 11*h. Let w(b) be the second derivative of j(b). Factor w(y).
-2*y*(y - 1)*(y + 5)/9
Let d(q) be the third derivative of q**5/30 + 7*q**4/3 + 196*q**3/3 - 163*q**2. Suppose d(i) = 0. Calculate i.
-14
Let o(j) = -7*j**2 - 6*j - 9. Let s = -23 + 28. Let x(p) = -11*p**2 - 9*p - 14. Let d(q) = s*x(q) - 8*o(q). Factor d(u).
(u + 1)*(u + 2)
Let n = -75 - -75. Suppose 8*z - 6*z - 4 = n. Suppose 1/3*q**z - 1/3 + 0*q = 0. Calculate q.
-1, 1
Let d(v) be the third derivative of v**8/546 + 37*v**7/1365 + 23*v**6/260 + 43*v**5/390 + 7*v**4/156 - v**2 - 309. Let d(y) = 0. What is y?
-7, -1, -1/4, 0
Let a be (-8)/(-3)*1053/(-18). Let d = a - -158. Suppose 3/2*i**d + 6 + 6*i = 0. Calculate i.
-2
Let p be (-6)/5*(-70)/28. Suppose -19 = -5*r - p*b, 2*r - 2*b = 3*b - 11. Find n such that 0 + 6/7*n - 3/7*n**3 - 3/7*n**r = 0.
-2, 0, 1
Let g(f) be the third derivative of f**7/147 + 11*f**6/140 + 41*f**5/210 + f**4/28 - 10*f**3/21 - 4*f**2 + 14*f. Suppose g(i) = 0. Calculate i.
-5, -1, 2/5
Let f(k) be the third derivative of -k**6/60 + k**5/15 + k**4/12 - 2*k**3/3 + 40*k**2. Find x such that f(x) = 0.
-1, 1, 2
Let m(y) be the first derivative of 5*y**3/3 + 85*y**2/2 - 167. Let m(a) = 0. What is a?
-17, 0
Let u = 17 - 13. Let h be 25 - (u/2 + -2). Factor h - 25 + 2*f**5.
2*f**5
Solve 8/5*a**2 + 0 + 4/5*a + 1/5*a**4 + a**3 = 0.
-2, -1, 0
Factor 1/2*d**2 - 6 - 1/2*d.
(d - 4)*(d + 3)/2
Let g(a) = 2*a**2 + 32*a + 113. Let h(p) = 3*p**2 + 33*p + 114. Let c(r) = 6*g(r) - 5*h(r). Factor c(x).
-3*(x - 12)*(x + 3)
Let y(q) be the second derivative of q**6/15 + 13*q**5/10 + 35*q**4/6 - 49*q**3/3 - 33*q. Factor y(f).
2*f*(f - 1)*(f + 7)**2
What is k in -2*k**2 + 2466 - 20*k - 2491 + 7*k**2 = 0?
-1, 5
Let j = 3/136 - -535/408. Factor j*z - 2/3 - 2/3*z**2.
-2*(z - 1)**2/3
Let a be 0 - ((-6)/13)/3. Let i = 3469/8 + -45081/104. Factor -4/13*t**3 + i*t**4 + a*t**5 + 2/13*t - 4/13*t**2 + 2/13.
2*(t - 1)**2*(t + 1)**3/13
Let n(m) be the second derivative of -1/15*m**6 + 0*m**3 + 1/3*m**4 - m**2 + 0 + 4*m + 0*m**5. Factor n(z).
-2*(z - 1)**2*(z + 1)**2
Suppose -15*q = -4 - 41. Let y(d) be the third derivative of 6*d**2 + 0 + 1/30*d**6 + 0*d + 1/15*d**5 - 2/3*d**q - 1/6*d**4. Find c such that y(c) = 0.
-1, 1
Let b be (-12)/(-45) + (-4)/(-10). Let v be (-192)/(-180) - 6/(-10). Factor 1/3*f**3 + 4/3*f**2 + b + v*f.
(f + 1)**2*(f + 2)/3
Let p(o) be the first derivative of -3*o**5/5 + 3*o**4/4 + 5*o**3 + 9*o**2/2 - 109. Factor p(y).
-3*y*(y - 3)*(y + 1)**2
Determine w so that -16*w**5 + 14 + 40*w**3 - 64*w + 36*w**4 + 16*w + 2 - 76*w**2 = 0.
-1, 1/4, 2
Let q(u) be the third derivative of u**9/12096 + 5*u**8/4032 + u**7/144 + u**6/48 