d = 8 - z. Factor 14 + 5*y**d - 14 + 10*y**3 + 5*y**4 + 0.
5*y**2*(y + 1)**2
Let h be ((-2)/4)/((-2)/80). Let g = 13493744/5 + -2698748. Suppose -h + 8*t - g*t**2 = 0. What is t?
5
Let y(o) be the second derivative of -29*o**4/18 + 2*o**3/3 - 2*o - 206. What is f in y(f) = 0?
0, 6/29
Solve 2116*q**2 - 35449*q**3 + 1193 - 4244*q + 931 + 35453*q**3 = 0 for q.
-531, 1
Suppose 0 = x - 2*g - 12571, -3*x - g + 16634 = -21065. Suppose x - 2*q**2 + q**2 - q - 12565 = 0. What is q?
-2, 1
Let m be (-4940)/18564 - 2*1/(-7). Let p(g) be the third derivative of m*g**3 + 0 - 1/510*g**5 + 0*g + 1/1020*g**6 + 22*g**2 - 1/204*g**4. Factor p(w).
2*(w - 1)**2*(w + 1)/17
Let p = 4724 + -4721. Let z(a) be the second derivative of 1/55*a**6 + 0 + 0*a**p - 2/55*a**5 + 0*a**2 + 1/66*a**4 - 10*a. What is c in z(c) = 0?
0, 1/3, 1
Factor 20/9*c**2 - 536/9*c - 12.
4*(c - 27)*(5*c + 1)/9
Let o(v) be the second derivative of v**4/11 + 35*v**3/66 + v**2 + 3315*v. Factor o(g).
(g + 2)*(12*g + 11)/11
Suppose -231 = 3*i - 36. Let q = i + 132. Factor -32*x**3 - q*x + 4*x**4 + 88*x**2 + x - 13*x + 36 - 17*x.
4*(x - 3)**2*(x - 1)**2
Determine w so that 802/7*w + 990/7 - 190/7*w**2 - 2/7*w**3 = 0.
-99, -1, 5
Let u(v) be the third derivative of -v**8/1176 - 2*v**7/245 - 3*v**6/140 - 6*v**2 + 9*v. Find x, given that u(x) = 0.
-3, 0
Let l(g) be the first derivative of 5*g**5/4 + 215*g**4/12 - 15*g**3 + 3*g - 162. Let y(z) be the first derivative of l(z). Factor y(p).
5*p*(p + 9)*(5*p - 2)
Let h be (-78)/8*240/180. Let o be (((-156)/(-20))/h)/((-81)/30). Find j such that 0 + o*j**3 + 2/3*j - 8/9*j**2 = 0.
0, 1, 3
Let v(m) = 2*m**2 + m + 1. Let a(t) be the first derivative of -4*t**3/3 + 134*t**2 + 4620*t + 160. Let f(b) = -a(b) - 4*v(b). Let f(h) = 0. What is h?
-34
What is b in 2/7*b**3 + 16950/7*b**2 + 47883750/7*b + 45090531250/7 = 0?
-2825
Let o(r) be the first derivative of r**6/90 - 7*r**5/60 + 5*r**4/72 - 7*r**2/2 - 44. Let k(u) be the second derivative of o(u). Factor k(y).
y*(y - 5)*(4*y - 1)/3
Let y(k) = k**3 - 18*k**2 - 99*k + 201*k - 37 - 118*k. Let o be y(19). Find j, given that -7*j + 7*j**4 + j**2 + 7*j + 9*j**5 + 3*j**2 - o*j**3 = 0.
-2, 0, 2/9, 1
Let m = -23996 + 23999. Solve 0 - 15/2*v**4 + 21/2*v**m + 3/2*v**5 - 9/2*v**2 + 0*v = 0.
0, 1, 3
Factor 216/7*d - 162/7*d**2 + 3*d**3 + 3/7*d**4 + 0.
3*d*(d - 3)*(d - 2)*(d + 12)/7
What is g in -4/3*g**2 - 56/3 - 2/3*g**3 + 62/3*g = 0?
-7, 1, 4
Suppose -415*g = -5*g - 4510. Let f(t) be the second derivative of 1/25*t**5 + g*t - 1/75*t**6 + 1/6*t**4 + 0*t**2 + 0 - 2/5*t**3. Determine n so that f(n) = 0.
-2, 0, 1, 3
Let z be 12*(-3)/(-6) + -16. Let f be (-4)/(-4)*(z/(-5) - 2). Factor 0*h**2 - 12/7*h + f + 3/7*h**3.
3*h*(h - 2)*(h + 2)/7
Let u(w) = -8*w**2 - 237*w - 681. Let l(p) = -2*p**2 - p + 1. Let h(y) = 6*l(y) - 2*u(y). Factor h(v).
4*(v + 3)*(v + 114)
Let b(o) be the second derivative of o**8/23520 - o**7/4410 + o**6/2520 - 35*o**4/6 - 7*o + 3. Let q(t) be the third derivative of b(t). Factor q(z).
2*z*(z - 1)**2/7
Let u = -5995/6 + 42163/42. What is i in -u + 36/7*i - 3/7*i**2 = 0?
1, 11
Let y(i) be the second derivative of -i**6/15 + 7*i**5/10 + 2*i**4/3 - 28*i**3/3 - 30*i + 5. Let y(m) = 0. What is m?
-2, 0, 2, 7
Find z such that 84/5*z**3 - 786/5*z**2 + 2904/5 - 440*z - 2/5*z**4 = 0.
-3, 1, 22
Let g = 412430 + -412430. Solve g + 2/7*a**2 + 2/7*a**3 + 0*a = 0.
-1, 0
Let z(o) = -o**3 + 2*o**2. Let n(y) = -13*y**3 - 83*y - 60. Let c(t) = -5*n(t) + 60*z(t). Suppose c(i) = 0. What is i?
-20, -3, -1
Let w(x) be the third derivative of -3*x**2 - 5 + 1/1680*x**7 - 1/96*x**5 - 1/2688*x**8 + 0*x + 1/192*x**6 + 1/12*x**3 - 1/48*x**4. Find t such that w(t) = 0.
-2, -1, 1, 2
Let o(i) be the second derivative of -5*i - 1/60*i**6 - 15 + 0*i**2 + 1/24*i**4 - 1/12*i**3 + 1/40*i**5. Suppose o(a) = 0. Calculate a.
-1, 0, 1
Let w be 120/(-16)*12/(-9). Factor -2*d + 410*d**2 - 414*d**2 + w*d.
-4*d*(d - 2)
Suppose 2*g + 4*d - 128 = 0, -5 = -3*g - 5*d + 186. Let k = 66 - g. Find f such that 0 - 3/8*f**k + 9/8*f**2 - 3/4*f + 0*f**3 = 0.
-2, 0, 1
Let l(j) be the third derivative of j**6/300 + j**5/75 - 3*j**4/20 - 6*j**3/5 - 132*j**2 + 4. Factor l(g).
2*(g - 3)*(g + 2)*(g + 3)/5
Suppose 33*a + 960 = 9*a. Let i be 180/(-99) - -2 - a/22. Factor 8/3 + 10/3*m**i + 16/3*m + 2/3*m**3.
2*(m + 1)*(m + 2)**2/3
Let f(r) be the first derivative of r**4/2 + 386*r**3/3 + 9408*r**2 + 18432*r + 76. Let f(j) = 0. What is j?
-96, -1
Suppose -2*u + 12 - 8 = 0. Suppose 0 = -h + u - 1. Solve h - v**3 - 3*v - 3*v**2 + 2 - 4 = 0 for v.
-1
Let z(n) be the first derivative of n**2/2 + n - 34. Let u be z(3). Let 3*k**u + 35*k**2 + 3*k**3 - 35*k**2 = 0. What is k?
-1, 0
Factor 47*t**3 + 35 + 118*t**2 + 219/2*t - 1/2*t**5 + 3*t**4.
-(t - 14)*(t + 1)**3*(t + 5)/2
Let d(b) = -4*b**3 - b + 2. Let m(j) = 3*j**3 - 273*j**2 + j - 2. Let z(q) = 3*d(q) + 3*m(q). Find l such that z(l) = 0.
-273, 0
Suppose -8 = 4*a - j, 2*a + 5*j - 10 = 7*a. Let m be 13 + 1 + a + -3. Let -m - 8*l + 3 - 6 + 4*l**2 = 0. Calculate l.
-1, 3
Let b(y) be the second derivative of -1/126*y**7 + 0*y**2 - 1/18*y**4 + 1/180*y**6 - 6*y + 8 + 1/15*y**5 + 0*y**3. Solve b(n) = 0.
-2, 0, 1/2, 2
Let h(o) be the third derivative of o**7/2016 - 7*o**6/288 - 31*o**4/12 + 5*o**2 + 2*o. Let p(v) be the second derivative of h(v). Factor p(f).
5*f*(f - 14)/4
Let i(w) = -w**2 + 424*w - 37546. Let t be i(298). Factor -23/6 + 1/6*o**t - 11/3*o.
(o - 23)*(o + 1)/6
Let h(i) be the third derivative of -i**5/60 + 5*i**4/6 + 7*i**3/3 - 98*i**2. Let t(c) = -3*c - 1. Let q(b) = h(b) + 6*t(b). Find p, given that q(p) = 0.
-2, 4
Suppose -44 = -5*o + 3*n, -2*o + 0*n + 2*n + 20 = 0. Let z = -14 + 20. Suppose 4*v**4 + o - 7 + 0 - 2*v + z*v**3 = 0. Calculate v.
-1, 0, 1/2
Suppose -6*z + 34 = -26. Suppose 3*a - 8*a + z = 0. Determine k so that 2*k**2 - 6*k - 2*k**a + 22*k + 2*k**2 = 0.
-8, 0
What is r in 0 - 22/5*r + 21/5*r**2 + 1/5*r**3 = 0?
-22, 0, 1
Find k such that 52*k + 36*k + 1201*k**2 - 32*k**4 - 24*k - 1101*k**2 + 6*k**3 - 2*k**5 = 0.
-16, -1, 0, 2
Let w(p) be the first derivative of -139 + 0*p**3 + 7/16*p**4 - 1/2*p**2 + 0*p + 3/20*p**5. Factor w(a).
a*(a + 1)*(a + 2)*(3*a - 2)/4
Factor 576 - 1/4*l**3 - 552*l - 95/4*l**2.
-(l - 1)*(l + 48)**2/4
Let a(c) be the third derivative of -c**7/945 - c**6/180 + 53*c**5/45 - 365*c**4/27 - 1400*c**3/9 + 1490*c**2. Determine i so that a(i) = 0.
-21, -2, 10
Let o(s) be the first derivative of s**4/4 - 9*s**3 + 3*s**2/2 - 79*s - 9. Let q be o(27). Factor 3*g**q + 0*g - 1/3*g**3 + 0.
-g**2*(g - 9)/3
Let o(v) be the first derivative of -v**6/39 + 24*v**5/65 + 15*v**4/26 - 556*v**3/39 - 828*v**2/13 - 1296*v/13 + 421. Factor o(y).
-2*(y - 9)**2*(y + 2)**3/13
Determine y, given that -98*y**4 + 18*y**3 + 90*y**3 - 13*y**5 - 4*y**5 - 8*y**3 + 15*y**5 = 0.
-50, 0, 1
Factor -1/5*p**2 + 6/5*p + 11.
-(p - 11)*(p + 5)/5
Let n(l) = l + 17. Let o = 43 - 60. Let c be n(o). Suppose c + 1/8*r**2 - 1/4*r = 0. What is r?
0, 2
Let b(v) be the third derivative of 50653/18*v**4 + 1874161/18*v**3 + 1/630*v**7 - 1 + 37/90*v**6 + 42*v**2 + 0*v + 1369/30*v**5. Find x, given that b(x) = 0.
-37
Let h be (3 + -1)*((10/1)/(-5))/(49 - 71). Find k such that 10*k - h*k**2 - 108/11 = 0.
1, 54
Determine v so that 314*v**2 - 109*v**2 + 160000 + 800*v - 204*v**2 = 0.
-400
Factor 14046*b**4 + 20*b + 89*b**3 + 420 + b**3 - 315*b**2 - 14041*b**4.
5*(b - 2)**2*(b + 1)*(b + 21)
Let z(p) be the third derivative of 0 + 1/5*p**5 + 0*p**3 + 1/40*p**6 - 5/8*p**4 + p - 60*p**2. Let z(b) = 0. What is b?
-5, 0, 1
Factor -8/19*f**2 - 4 + 306/19*f.
-2*(f - 38)*(4*f - 1)/19
Let x(i) = 8*i**2 + 28*i + 6. Let y(q) be the first derivative of q**3/3 - q**2 + q - 90. Let m(s) = x(s) + 2*y(s). Factor m(k).
2*(k + 2)*(5*k + 2)
Factor -30 + 3*p**2 - 9/2*p.
3*(p - 4)*(2*p + 5)/2
Let v(a) be the third derivative of -5*a**8/336 + 4*a**7/21 - 5*a**6/24 - 7*a**5/6 - a**2 + 8*a + 2. What is i in v(i) = 0?
-1, 0, 2, 7
Determine u so that 58/3*u - 20/3*u**3 + 40/3 - u**2 + 1/3*u**4 = 0.
-1, 2, 20
Let s(r) be the first derivative of 3*r**5/5 - 27*r**4/4 - 68*r**3 - 54*r**2 + 336*r - 5894. Determine c, given that s(c) = 0.
-4, -2, 1, 14
Suppose 0 = -f + 5, -k = -2*k + 4*f - 20. Let x(m) be the third derivative of -5/4*m**4 - 4*m**2 + k + 25/6*m**3 + 0*m 