3 - 3*t - 2*t**2 = 0.
-1, 0
Let b(n) be the third derivative of n**7/252 - 29*n**6/36 + 841*n**5/12 - 121945*n**4/36 + 3536405*n**3/36 + 36*n**2. Solve b(p) = 0 for p.
29
Let s(t) be the first derivative of -2/33*t**3 + 1/11*t**4 + 0*t + 2/55*t**5 - 17 - 2/11*t**2. Solve s(j) = 0 for j.
-2, -1, 0, 1
Let w be (-7 - -5)*(-15)/(-10) - 441/(-91). Factor w*p + 2/13*p**3 - 12/13*p**2 - 16/13.
2*(p - 2)**3/13
Let w be (-6)/(-36) - (-2)/12. Let m(r) be the first derivative of -w*r**3 - 2*r + 2 - 3/2*r**2. What is o in m(o) = 0?
-2, -1
Let t(j) be the first derivative of 21*j**5/20 - 9*j**4/4 - 6*j**3 + 6*j**2 - 28*j - 6. Let r(c) be the first derivative of t(c). Let r(k) = 0. What is k?
-1, 2/7, 2
Let j(g) be the second derivative of 9/13*g**2 + 0 + 2/13*g**3 + 7*g + 1/78*g**4. Factor j(k).
2*(k + 3)**2/13
Suppose 0 = -3*d + 1559 - 1544. Let m(g) be the third derivative of -1/12*g**4 - 1/24*g**d - 7*g**2 - 1/120*g**6 - 1/12*g**3 + 0*g + 0. What is z in m(z) = 0?
-1, -1/2
Find g such that -28*g**4 - g - 1974*g**2 + 596*g**3 + 8357*g - 2592 + 1868*g - 1657*g**2 - 569*g**2 = 0.
2/7, 6, 9
Factor -1/2*k**2 - 55*k - 109/2.
-(k + 1)*(k + 109)/2
Suppose 0*m + 8*m = -32. Let v be -2 + (-16)/(-8 - m). Factor -4/11 + 2/11*o**v - 2/11*o.
2*(o - 2)*(o + 1)/11
Let z(y) be the third derivative of 0*y + 0*y**3 + 0*y**5 - 1/48*y**6 + 0*y**4 + 0 + 3/56*y**7 + 20*y**2. Factor z(g).
5*g**3*(9*g - 2)/4
Factor -v**3 - 47 - v**3 + 39*v**4 + 94*v**2 + v - 86*v**4 + v**5 + 0*v.
(v - 47)*(v - 1)**2*(v + 1)**2
Let u = 6 - 3. Let x(z) = z**2 - 16*z - 32. Let q be x(18). Factor -q*t**2 - 2*t**3 + 5*t**2 + t**u.
-t**2*(t - 1)
Suppose 0 = -52*m + 55*m - 3*u - 18, -5*m = -u - 14. Let p(g) be the second derivative of 0 + 4/27*g**3 + 6*g + 1/54*g**4 + 4/9*g**m. Solve p(j) = 0 for j.
-2
Suppose w + 2*o + 11 = 7*o, -o + 23 = 5*w. Solve 15*u**4 + 3*u**3 - 19*u**w + 5*u**3 = 0.
0, 2
Let x(k) = 5*k**2 + 147*k - 148. Let l be x(1). Factor 0*i + 0 - 25/4*i**3 - 5*i**l - 5/4*i**2.
-5*i**2*(i + 1)*(4*i + 1)/4
Let b(t) be the first derivative of -t**5/5 - t**4/4 + t**2/2 - 17. Let s(h) = -6*h**4 - 9*h**3 + 7*h. Let g(r) = 35*b(r) - 5*s(r). Factor g(l).
-5*l**3*(l - 2)
Let o(a) be the first derivative of -a**3/15 + 9*a**2/5 + 8*a - 81. Let o(l) = 0. What is l?
-2, 20
Let s(w) be the third derivative of -w**5/20 - 21*w**4/8 - w**2 + 15*w. Solve s(y) = 0 for y.
-21, 0
Let c = 24605/6 + -3767. Let s = c - 332. What is y in 11/6*y**4 - s*y**2 - 7/3*y**5 + 1/3*y + 0 + 2*y**3 = 0?
-1, 0, 2/7, 1/2, 1
Let k(z) = -z**3 + 18*z**2 - 9*z - 134. Let o be k(17). Factor -5*a - 5/2*a**o - 5/2.
-5*(a + 1)**2/2
Suppose 10*k + 105 = 3*k. Let w(n) = -n - 10. Let i be w(k). Factor 3/5*a**i + 6/5*a**2 + 3/5*a - 6/5*a**3 - 3/5*a**4 - 3/5.
3*(a - 1)**3*(a + 1)**2/5
What is a in 0*a - 2/3*a**4 + 0 + 1/3*a**5 - 4/3*a**3 + 8/3*a**2 = 0?
-2, 0, 2
Let u(q) be the third derivative of q**5/270 + q**4/54 - 8*q**3/27 + 28*q**2 + 1. Factor u(w).
2*(w - 2)*(w + 4)/9
Solve -4 + 926*k - 175*k**2 - 1096*k - 5*k**3 + 4 = 0.
-34, -1, 0
Let l be 185/555 + (-16)/(-6). Factor 7/3*n + 1 + 1/3*n**l + 5/3*n**2.
(n + 1)**2*(n + 3)/3
Let v(o) = -30*o - 54. Let q(f) = -f**2 + 31*f + 54. Let j(t) = 3*q(t) + 4*v(t). Factor j(h).
-3*(h + 3)*(h + 6)
Solve 464/3*y + 2/3*y**2 + 26912/3 = 0.
-116
Let a be (-6 + 30)/(-4) - -6. Let k(x) be the first derivative of 4/3*x**3 + 6 + 0*x + 1/2*x**4 + a*x**2. Factor k(r).
2*r**2*(r + 2)
Let f(g) = g**2 + g + 1. Let x(t) = 3*t**2 + 2*t + 2. Let s be (0 - 1) + 11 + -8. Let i(c) = s*x(c) - 4*f(c). Factor i(d).
2*d**2
Let y(v) be the third derivative of v**7/1995 - v**6/380 - v**5/570 + v**4/76 - v**2 - 7. Factor y(b).
2*b*(b - 3)*(b - 1)*(b + 1)/19
Let u(c) be the third derivative of -c**6/120 + c**5/10 - 3*c**4/8 + 2*c**3/3 + 13*c**2. Solve u(x) = 0.
1, 4
Factor 15/4*n**2 + 144*n + 57.
3*(n + 38)*(5*n + 2)/4
Let d(b) be the first derivative of -b**9/3024 - b**8/1680 + b**7/280 + b**6/360 - b**5/60 + 4*b**3 + 41. Let r(w) be the third derivative of d(w). Factor r(h).
-h*(h - 1)**2*(h + 1)*(h + 2)
Factor -r**3 + 17 + 4*r - 16 - 6*r + 3*r - r**2.
-(r - 1)*(r + 1)**2
Let m(t) be the third derivative of t**7/840 - t**6/120 + t**5/80 - 79*t**2. Let m(z) = 0. What is z?
0, 1, 3
Suppose -91 = -53*x + 174. Let t(v) be the second derivative of v**3 - 5*v + 3/4*v**4 + 0 + 0*v**2 - 3/14*v**7 - 9/20*v**x - 7/10*v**6. Factor t(i).
-3*i*(i + 1)**3*(3*i - 2)
Let d(y) = y**2 + 4*y + 13. Let k be d(-8). Find w such that -w**4 + 34*w**3 - 79*w**3 + k*w**3 = 0.
0
Solve 4/3*d + 2/3*d**2 + 2/3 = 0.
-1
What is a in 0*a + 1/5*a**5 - 1/5*a**3 + 3/5*a**2 - 3/5*a**4 + 0 = 0?
-1, 0, 1, 3
Let k(u) = -36*u**3 + 156*u**2 - 90*u - 237. Let a(m) = -5*m**3 + 22*m**2 - 13*m - 34. Let h(s) = 15*a(s) - 2*k(s). Find r, given that h(r) = 0.
-1, 3, 4
Suppose -3*w + 0*q = 5*q + 3, -4*q - 8 = w. Factor -6*r - 4*r**4 + w*r**3 + 6*r + 4*r**2 - 4*r.
-4*r*(r - 1)**2*(r + 1)
Let m be (4/(-3))/((-12)/72). Suppose -13 = 3*j + m*o - 13*o, 4*j - 3*o - 1 = 0. Factor 4/11*s**3 + 0 - 2/11*s**2 + 0*s - 2/11*s**j.
-2*s**2*(s - 1)**2/11
Let l(k) be the second derivative of k**4/12 - 67*k**3/3 - 135*k**2/2 + 2*k + 32. Find v, given that l(v) = 0.
-1, 135
Let c(z) be the second derivative of -1/160*z**5 + 0*z**2 + 1/48*z**3 + 23*z + 0 - 1/96*z**4 + 1/240*z**6. Factor c(r).
r*(r - 1)**2*(r + 1)/8
Let d(f) be the second derivative of 5*f**7/14 - 17*f**6/30 - 7*f**5/5 + f**4/3 + 127*f. Let d(j) = 0. What is j?
-1, 0, 2/15, 2
Let d = -22 - -26. Find k such that -3*k**3 + d*k - 2*k + 2 + 3*k**2 - 5 + k = 0.
-1, 1
Suppose l + 5*l - 30 = 0. Suppose m - l*a - 7 = 0, 2*m + a - 1 = -2*a. What is t in 0*t + 4/3*t**m + 0 + 2/3*t**3 - 4/3*t**4 - 2/3*t**5 = 0?
-2, -1, 0, 1
Let h = -2072 - -2078. Factor -15/2*j - 3/2*j**3 + 3 + h*j**2.
-3*(j - 2)*(j - 1)**2/2
Let r(q) be the second derivative of 0*q**2 + 0 - 1/3*q**4 + 0*q**3 - 12*q. Factor r(o).
-4*o**2
Let h(f) be the first derivative of -2/3*f - 1 - 5/12*f**4 + 5/6*f**2 + 1/5*f**5 - 1/9*f**3. Factor h(p).
(p - 1)**2*(p + 1)*(3*p - 2)/3
Factor -2 - 2/3*p**2 + 8/3*p.
-2*(p - 3)*(p - 1)/3
Let q(g) = -3*g - 10. Let b(v) = -v - 16. Let k be b(-12). Let u be q(k). Factor -1/3*w**u + 2/3 + 1/3*w.
-(w - 2)*(w + 1)/3
Factor 0*m - 2/17*m**2 + 8/17.
-2*(m - 2)*(m + 2)/17
Let s be (5/1 - 4)*(1 - -4). Let d(o) be the second derivative of -4/135*o**6 + 8*o - 1/27*o**4 + 1/18*o**s + 1/189*o**7 + 0*o**3 + 0 + 0*o**2. Factor d(t).
2*t**2*(t - 2)*(t - 1)**2/9
Factor 29*u**4 - 54*u - u**4 + 22*u**4 - 90*u**3 - 823*u**2 + 661*u**2.
2*u*(u - 3)*(5*u + 3)**2
Let j(t) be the third derivative of -t**8/756 - 8*t**7/945 + t**6/135 + 8*t**5/135 - t**4/54 - 8*t**3/27 + 6*t**2 - 8*t. What is k in j(k) = 0?
-4, -1, 1
Let m(l) = -2*l**3 - l**2 - 4*l - 3. Let h be m(-1). Let 7*w + 5*w + 34*w**2 - 66*w**h + 30*w**2 = 0. What is w?
0, 6
Let -1304/11*q + 48/11 - 1458/11*q**3 + 8964/11*q**2 = 0. Calculate q.
2/27, 6
Let f(v) = -v**3 + v - 1. Let o be (1/1)/(3/12). Let u = -8 + o. Let t(g) = 5*g**3 + 3*g**2 - g + 5. Let a(l) = u*f(l) - t(l). Suppose a(y) = 0. Calculate y.
-1
Suppose 41 = -5*p + 71. Suppose -4*b = i - 2 - p, -3*i = -2*b + 4. Factor 0*o**2 - 5/2*o**3 + 0 + 5/4*o**5 + 5/4*o + i*o**4.
5*o*(o - 1)**2*(o + 1)**2/4
Let b(n) = n**2 - 14*n + 44. Let g be b(10). Suppose -q**4 + 16 + 13*q**4 + q**3 - 28*q**2 - g*q**5 + 6*q**3 - 3*q**3 = 0. Calculate q.
-1, 1, 2
Let m = -1128 - -1130. Let o(b) be the second derivative of -1/8*b**m - 1/48*b**4 + 0 - 1/12*b**3 - 4*b. Factor o(g).
-(g + 1)**2/4
Let o be (6 - 7)/((-2)/12). Let 5*w + 13*w + 40 - o*w - 4*w**2 + 0*w = 0. What is w?
-2, 5
Let l be (4/(-3) - -1) + (-67 - -68). Determine w, given that -4/3*w + l*w**2 + 2/3*w**3 + 0 = 0.
-2, 0, 1
Factor -52*v**2 - 52*v - 230*v**3 + 12*v**2 - 36*v**2 + 233*v**3.
v*(v - 26)*(3*v + 2)
Let x be 327/(-763) + 3/7. Let t(j) be the first derivative of x*j + 3/2*j**2 + 3 - 1/2*j**3 - 3/8*j**4. Factor t(h).
-3*h*(h - 1)*(h + 2)/2
Let h(z) be the second derivative of z**5/40 + z**4/6 - 35*z**3/12 - 75*z**2/2 + 79*z. Determine x so that h(x) = 0.
-5, 6
Let w(h) = -3*h**5 - 24*h**4 + 11*h**3 - 4*h**2 - 4*h. Let f(r) = 35*r**5 + 265*r**4 - 120*r**3 + 45*r**2 + 45*r. Let y(k) = 4*f(k) + 45*w(k). Factor y(o).
5*o**3*(o - 3)*(o - 1)
Let y be (-2)/5*200/32 + 3. Let j(d) be the first de