+ 17)/13
Let c(n) be the third derivative of 0 - 1/56*n**4 - 1/140*n**5 + 0*n + 1/14*n**3 + 1/280*n**6 - 15*n**2. Solve c(j) = 0 for j.
-1, 1
Determine z so that -15*z - 1/4*z**2 + 64 = 0.
-64, 4
Suppose 29*p + 3400*p**4 - 1658*p**4 - 5*p**5 - 179*p + 155*p**3 - 65*p**2 - 1677*p**4 = 0. Calculate p.
-2, -1, 0, 1, 15
Find z, given that -89*z**4 - 6880*z**3 + 14892*z + 11463*z + 12170*z**2 + 989*z**4 + 6370 - 35*z**5 = 0.
-1, -2/7, 7, 13
Let x(i) be the third derivative of -i**10/120960 + i**8/16128 - 3*i**5/5 + i**4/12 - 2*i**2 + 36. Let r(h) be the third derivative of x(h). Factor r(j).
-5*j**2*(j - 1)*(j + 1)/4
Let d = -2657 + 2657. Let n(u) be the third derivative of 1/6*u**4 + 0*u**6 + 6*u**2 - 1/105*u**7 + 0*u + 1/10*u**5 + 0*u**3 + d. What is f in n(f) = 0?
-1, 0, 2
Suppose 333/2*x**2 - 3/4*x**3 + 165 - 1323/4*x = 0. What is x?
1, 220
Let l = 87 + -82. Let r be (l + 4 + -10)/(9/(-6)). Suppose -1/3*z**4 + r*z**3 - 2/3*z + 0 + 1/3*z**2 = 0. What is z?
-1, 0, 1, 2
Let z(r) be the first derivative of r**7/126 + 2*r**6/45 + r**5/10 + r**4/9 + r**3/18 + 56*r + 7. Let h(m) be the first derivative of z(m). Solve h(s) = 0.
-1, 0
What is u in -3249/2*u - 3/4*u**2 - 3518667/4 = 0?
-1083
Let n be ((-6)/8 - (1 + -1)) + 39/52. Suppose -5*u + 5*f = -20, u + u = -4*f - 4. What is a in n*a - 3/5 + 3/5*a**u = 0?
-1, 1
Let x(i) be the first derivative of -i**3 - 333*i**2/2 - 3030*i + 5211. Let x(h) = 0. What is h?
-101, -10
Let o = -2771639/5 + 554334. Suppose 1/5*x**2 + o*x - 66/5 = 0. What is x?
-33, 2
Let y(k) = 87*k + 520. Let x be y(-6). Let a(u) = -56*u - 109. Let j be a(x). Factor 0*f - 6/5*f**2 + 3/5*f**j + 3/5*f**4 + 0.
3*f**2*(f - 1)*(f + 2)/5
Let q(u) = 36*u**2 + u + 17. Let t be q(0). Let s(j) be the first derivative of -t + 18/5*j**4 - 4/5*j**3 - 63/25*j**5 + 0*j + 0*j**2 - 49/10*j**6. Factor s(h).
-3*h**2*(h + 1)*(7*h - 2)**2/5
Factor 250*q + 0 - 2/5*q**2.
-2*q*(q - 625)/5
Let o(j) = -18*j**2 + j + 1. Let h be o(-1). Let z(l) = l**2 + 17*l + 6. Let b be z(h). Factor 15*d**5 - 7*d**5 + 28*d**3 - b*d**4 - 6*d**2 + d**5 - 7*d**3.
3*d**2*(d - 1)**2*(3*d - 2)
Factor -602802/7 - 2/7*f**2 - 2196/7*f.
-2*(f + 549)**2/7
Suppose -685*t = -649*t - 72. Let j(b) be the first derivative of -3*b + 5/9*b**3 - 6 - 1/12*b**4 - 1/2*b**t. Factor j(u).
-(u - 3)**2*(u + 1)/3
Let u(t) be the third derivative of 13*t**8/840 + 106*t**7/525 + 37*t**6/60 + 52*t**5/75 + t**4/5 - 4*t**2 - 278. Let u(l) = 0. What is l?
-6, -1, -2/13, 0
Let t(a) = 2*a**2 - 25*a + 26. Let i(f) = -6*f**3 - 17*f**2 + 2*f - 2. Let u be i(-3). Let x be t(u). Factor 0 + 42*v**2 + 2/3*v**4 - 10*v**x - 98/3*v.
2*v*(v - 7)**2*(v - 1)/3
Let t be ((-4)/(-6))/((-2)/45*-3). Suppose t*u = -u + 12. Determine y so that -716*y + u - 4 + 724*y + 10*y**2 = 0.
-1, 1/5
Let k be 2/3 + -348*(-4)/18. Suppose -8*v - k = -10*v. Suppose 17*t**2 - t - 2 + 23*t**2 - v*t**2 = 0. Calculate t.
-1, 2
Let m be 24/(1*(4 - 40/12)). Let x be -8 + m/27*6. What is u in x*u - 2/13*u**2 + 2/13 = 0?
-1, 1
Let v = -27 + 103. Let o = v + -72. Factor 3*y**4 - 9*y**5 - 4*y**4 - 3*y**o + 13*y**5.
4*y**4*(y - 1)
Let u(n) be the second derivative of 9*n**5/10 + 139*n**4/2 - 281*n**3/3 + 47*n**2 - 45*n - 25. What is l in u(l) = 0?
-47, 1/3
Let p(h) be the second derivative of -h**7/10 - h**6 - 18*h**5/5 - 4*h**4 + 8*h**3 + 47*h**2/2 - 4*h. Let z(n) be the first derivative of p(n). Factor z(f).
-3*(f + 2)**3*(7*f - 2)
Let g = 300604/15 + -20026. Let o = -38/3 + g. What is c in 0 + 2/5*c**2 + o*c = 0?
-4, 0
Factor -189/4 - 141*z + 9/4*z**2.
3*(z - 63)*(3*z + 1)/4
Let i(f) be the first derivative of -f**6/21 - 18*f**5/7 + 93*f**4/14 - 94*f**3/21 - 417. Suppose i(u) = 0. What is u?
-47, 0, 1
Let n(k) = -4*k - 86. Let h be n(-22). Suppose 235*a**h + 2*a**3 - a - 217*a**2 + 17*a = 0. What is a?
-8, -1, 0
Let h(u) = 7*u**3 - 69*u**2 + 1905*u + 12023. Let w(m) = -m**3 - 4*m**2 + m - 3. Let z(o) = -h(o) - 6*w(o). Factor z(i).
-(i - 49)**2*(i + 5)
Let g(h) be the third derivative of -2*h**7/735 + 74*h**6/105 + 30*h**5/7 + 226*h**4/21 + 302*h**3/21 + 1254*h**2. Determine u so that g(u) = 0.
-1, 151
Let d(y) be the first derivative of -5*y**3/3 + 30*y**2 + 425*y + 5707. Factor d(t).
-5*(t - 17)*(t + 5)
Let a = -187 + 255. Find v such that a*v + 80*v + 43*v - 3*v**2 - 1502 - 1570 + v = 0.
32
Let b(t) be the third derivative of t**8/1680 + t**7/525 - 19*t**6/600 - 8*t**5/75 + 7*t**4/10 + 24*t**3/5 - 448*t**2 - 5. Find k such that b(k) = 0.
-4, -2, 3
Let y(m) be the second derivative of -m**5/210 + 3*m**4/28 + 10*m**3/21 + 219*m**2/2 - 199*m. Let a(o) be the first derivative of y(o). Factor a(w).
-2*(w - 10)*(w + 1)/7
Let p(r) be the third derivative of r**2 - 1/126*r**5 - 27*r + 1/1260*r**6 + 0*r**3 + 0 + 0*r**4. Find t such that p(t) = 0.
0, 5
Let y(b) be the second derivative of 0 + 175*b - 2/5*b**5 - 1/3*b**3 + 5/6*b**4 + 0*b**2. Factor y(j).
-2*j*(j - 1)*(4*j - 1)
Let h be 20/15*-3*(-3)/(-1). Let s be (2 + h/5)*9/(-6). Find g such that -2/5*g**4 - 6/5*g**3 - 2/5 + s*g + 4/5*g**2 + 3/5*g**5 = 0.
-1, 2/3, 1
Let p(q) be the first derivative of q**8/840 - q**6/90 + q**4/12 + 70*q**3/3 + 66. Let a(i) be the third derivative of p(i). Find y such that a(y) = 0.
-1, 1
Let d(a) be the second derivative of -a**7/21 + 5*a**6/24 + 11*a**5/12 + 5*a**4/6 + 31*a**2 - 56*a. Let v(b) be the first derivative of d(b). Factor v(h).
-5*h*(h - 4)*(h + 1)*(2*h + 1)
Factor 1/3*f**2 + 14/3 + 5/2*f.
(f + 4)*(2*f + 7)/6
Let s(t) = -2*t**3 - 8*t**2 - 5*t - 6. Let w be s(-5). Factor -125*v + 245*v - w*v + 3*v**2 + 48.
3*(v + 1)*(v + 16)
Let p(x) be the third derivative of -x**7/40 + x**6/4 + 19*x**5/10 - 3*x**4 + 35*x**3/6 - 2*x**2 - 9*x. Let i(d) be the first derivative of p(d). Factor i(y).
-3*(y - 6)*(y + 2)*(7*y - 2)
Let r(x) be the first derivative of -5/2*x**2 + 122 + 14/3*x + 1/9*x**3. Factor r(n).
(n - 14)*(n - 1)/3
Let q(g) be the third derivative of 0*g + 2/135*g**5 + 0 + 0*g**4 - 1/1890*g**7 + 0*g**6 - 8/27*g**3 - 160*g**2. Factor q(j).
-(j - 2)**2*(j + 2)**2/9
Let f(j) be the third derivative of j**8/1344 - j**7/42 + 5*j**6/16 - 25*j**5/12 + 61*j**4/24 + 41*j**2. Let s(n) be the second derivative of f(n). Factor s(m).
5*(m - 5)**2*(m - 2)
Suppose -7*s + 12*s = 5. Let g(o) = 8*o**2 + 8*o - 4. Let u(p) = -p**3 - p**2 - p. Let l(w) = s*g(w) + 4*u(w). Let l(j) = 0. Calculate j.
-1, 1
Let w(n) = -n**2 + 2*n + 2. Let k = -663 + 663. Let z be w(k). Determine t, given that -t**3 - 1/2 + t + 0*t**z + 1/2*t**4 = 0.
-1, 1
Let j = 28707 - 28704. Suppose -3/2*y**2 + 0 + y + 1/2*y**4 + 0*y**j = 0. Calculate y.
-2, 0, 1
Let h(f) = 11*f**5 + 21*f**4 + 4*f**3 - 56*f**2 - 56*f - 24. Let a(y) = -y**5 - y**4 + y**2 - y + 1. Let m(j) = -8*a(j) - h(j). Factor m(k).
-(k - 2)*(k + 2)**3*(3*k + 1)
Suppose -602 = 464*p - 457*p. Let b = p - -604/7. Factor -16/7*m + b*m**2 + 32/7.
2*(m - 4)**2/7
Factor 2/5*y**2 - 648/5 + 154/5*y.
2*(y - 4)*(y + 81)/5
Factor 19*n**4 - 24*n**4 + 560 + 371*n - 1280 + 527*n + 95*n**3 - 500*n**2 + 122*n.
-5*(n - 12)*(n - 3)*(n - 2)**2
Let u(j) be the first derivative of -j**4/14 + 20*j**3/3 + 389*j**2/7 - 300*j - 12137. Factor u(k).
-2*(k - 75)*(k - 2)*(k + 7)/7
Let t(z) be the third derivative of 2*z**7/105 - 101*z**6/30 - 42*z**5 - 638*z**4/3 - 1712*z**3/3 + 2*z**2 + 256*z. Let t(g) = 0. Calculate g.
-2, 107
Let l = -44569 + 133708/3. Let h(w) be the third derivative of -w**2 + l*w**5 + 10/3*w**3 + 0*w - 19 + 85/24*w**4. Determine p so that h(p) = 0.
-4, -1/4
Let g(h) = -6*h**4 + 20*h**3 - 34*h**2 + 12*h + 4. Let r be (-5 + 135/25)*-5 + 6. Let n(s) = s**4 + s - 1. Let b(m) = r*n(m) + g(m). Factor b(k).
-2*k*(k - 8)*(k - 1)**2
Let k(x) be the third derivative of -5/11*x**4 + 71/165*x**5 + 2 + 21*x**2 - 31/220*x**6 - 8/33*x**3 + 0*x + 19/1155*x**7. Find z, given that k(z) = 0.
-2/19, 1, 2
Let 0 + 108/5*t**2 + 153/5*t**3 + 1/5*t**5 - 26/5*t**4 - 1836/5*t = 0. Calculate t.
-3, 0, 6, 17
Solve 1/5*a**2 + 48/5 - 26/5*a = 0.
2, 24
Let y be 3000/625*(-20)/(-3). Suppose -y = 53*a - 138. Suppose 0*i**3 + 0*i + i**a - 4/5 - 1/5*i**4 = 0. What is i?
-2, -1, 1, 2
Solve 2240*b - 464*b**2 - 508*b**2 + 2*b**4 - 4*b**4 - 2376*b**2 + 162*b**3 + 19200 = 0.
-2, 3, 40
Factor 36/5*r**3 + 9/5*r**5 - 12*r**4 + 0 + 0*r + 0*r**2.
3*r**3*(r - 6)*(3*r - 2)/5
Factor 3*w**3 - 8*w + 10*w +