3 - 2*u**q + 0 - 6/7*u.
-2*u*(u + 1)**2*(u + 3)/7
Suppose 5*z = -z - z. Let k be 6/(-13)*(-33)/99. Solve 2/13*i + k*i**2 + z = 0 for i.
-1, 0
Determine y, given that -20/19 + 14/19*y - 2/19*y**3 + 8/19*y**2 = 0.
-2, 1, 5
Suppose 5*g - 150 = -140. Let h(n) be the first derivative of -g*n**2 - 11 - 6*n + 2/3*n**3. Suppose h(q) = 0. What is q?
-1, 3
Let m(w) be the third derivative of 25*w**8/336 + 16*w**7/21 + 19*w**6/8 + 3*w**5/2 - w**2 + 822*w - 1. Find f such that m(f) = 0.
-3, -2/5, 0
What is z in -220177073 + 220177073 + 772*z - 4*z**2 = 0?
0, 193
Factor -178/5*m + 94/5*m**2 - 4.
2*(m - 2)*(47*m + 5)/5
Determine f so that -3*f**4 - 78*f**3 + 199*f**2 - 16*f**2 - 156*f + 54*f**3 = 0.
-13, 0, 1, 4
Let x(j) be the third derivative of j**7/1260 - 17*j**6/180 + 289*j**5/60 - 7*j**4/4 + j**2 + 14. Let w(s) be the second derivative of x(s). Factor w(f).
2*(f - 17)**2
Suppose 0 = 4*a - 2*i - 6, -4*i + 52 - 34 = 2*a. Let b(d) be the first derivative of -3/7*d**2 + 4/21*d**a + 2/7*d + 26. Find p, given that b(p) = 0.
1/2, 1
Let m(f) be the third derivative of -f**8/336 - 17*f**7/630 - f**6/24 + 5*f**5/36 + f**4/4 - 4*f**3/9 - 2*f**2 + 1993*f. Find w, given that m(w) = 0.
-4, -2, -1, 1/3, 1
Let j(f) = f**2 - 11*f + 8. Let v be 12*(-3)/((-18)/4). Let k be j(v). Let w(d) = 8*d**2 + 4*d + 20. Let i(p) = p + 1. Let o(s) = k*i(s) + w(s). Factor o(y).
4*(y - 1)*(2*y - 1)
Let x(a) be the second derivative of 5*a**4/12 - 95*a**3/6 + 2379*a. Factor x(r).
5*r*(r - 19)
Let j be 24/(-216) + 644/126. Let f(h) be the first derivative of 16 - 6*h**2 - 2/3*h**3 - 8*h + 1/5*h**j + 3/4*h**4. Suppose f(i) = 0. Calculate i.
-2, -1, 2
Let i be (0/(-18))/(8/4). Let s(z) be the third derivative of 3*z**3 + 0 + 1/6*z**4 + 1/270*z**5 - 37*z**2 + i*z. Solve s(a) = 0.
-9
Let y(q) be the second derivative of q**5/60 + q**4/24 - 30*q**2 - q + 17. Let h(m) be the first derivative of y(m). Determine d, given that h(d) = 0.
-1, 0
Factor -230*r**3 - 5125/3*r - 56/3*r**4 - 1/3*r**5 - 3200/3*r**2 + 0.
-r*(r + 5)**3*(r + 41)/3
Let h(a) = -2*a**3 - 2*a + 1. Suppose 4*y - 2*y + 58 = 5*z, -3 = -3*y. Let s(l) = 22*l**3 + 10*l**2 + 36*l - 12. Let c(m) = z*h(m) + s(m). Factor c(t).
-2*t*(t - 6)*(t + 1)
Let r(y) be the first derivative of -y**6/12 - y**5/5 + 11*y**4/8 + 2*y**3 + 2745. Suppose r(f) = 0. What is f?
-4, -1, 0, 3
Let q(v) be the second derivative of v**5/35 - 12*v**4/7 + 88*v**3/7 - 256*v**2/7 + 226*v + 2. Find d such that q(d) = 0.
2, 32
Let h = 5/197 - -713/2955. Let o(k) be the second derivative of 1/150*k**5 + 5 + 1/30*k**4 - h*k**2 + 3*k + 0*k**3. Let o(g) = 0. What is g?
-2, 1
Let n = 89/128 - -71/128. Let i(z) be the second derivative of -38*z - n*z**3 + 0 - 1/8*z**4 + 0*z**2. Factor i(l).
-3*l*(l + 5)/2
Solve -1022*x - 18 - 1029*x - 72 + 2048*x + 3*x**2 = 0 for x.
-5, 6
Suppose 8210*k - 8214*k = -8. Let d(i) be the second derivative of 19*i - 4/21*i**3 - 8/7*i**k + 0 + 1/70*i**5 + 1/21*i**4. Let d(x) = 0. Calculate x.
-2, 2
Let s(h) be the third derivative of h**8/10080 - h**7/1260 + h**5/10 + h**4/8 + 79*h**2. Let m(l) be the third derivative of s(l). Find n such that m(n) = 0.
0, 2
Suppose 4*n + 28 = 8*n. Let u(t) = 10*t**2 - 26*t + 34. Let d(v) = 11*v**2 - 25*v + 35. Let s(a) = n*u(a) - 6*d(a). Determine r so that s(r) = 0.
1, 7
Let y(w) be the second derivative of -5*w**4/12 + 695*w**3/6 + 350*w**2 + 44*w + 1. Suppose y(o) = 0. What is o?
-1, 140
Let y(s) be the second derivative of -8/21*s**7 + 2/3*s**6 - 46/3*s**3 - 11/3*s**4 + 45*s + 27/5*s**5 + 12*s**2 + 0. Find h such that y(h) = 0.
-2, -1, 1/4, 1, 3
Let r(h) be the third derivative of h**8/336 - 6*h**7/35 - 41*h**6/40 + 103*h**5/30 + 89*h**4/2 + 156*h**3 - 3530*h**2. Factor r(g).
(g - 39)*(g - 3)*(g + 2)**3
Let j = 837 + -612. Suppose 8*f**2 + 7*f**2 - j*f**3 + 405 + 220*f**3 + 225*f = 0. What is f?
-3, 9
Let t = 743/1414 - 18/707. Let z = 267 + -264. Factor -4 + 6*h + t*h**3 - z*h**2.
(h - 2)**3/2
Let d = -23 + 23. Suppose -44 = -3*g + 4*w, d = w + 4*w + 10. Find u, given that u - 14*u**3 - 2*u**4 - 8*u + 7*u - g*u**2 = 0.
-6, -1, 0
Suppose 2*w = 3*u - 2, 26 = 1037*u - 1034*u + 10*w. Factor -1/6*g**3 + 5/3*g**u + 2 + 23/6*g.
-(g - 12)*(g + 1)**2/6
Let q(b) be the second derivative of 41*b**5/60 - 185*b**4/9 + 373*b**3/2 - 27*b**2 + 2598*b. Factor q(i).
(i - 9)**2*(41*i - 2)/3
Solve -5*t**2 - 105*t - 690 + 10*t**2 - 230*t + 0*t**2 = 0 for t.
-2, 69
Let m(z) be the second derivative of -3*z**5/20 + 73*z**4/4 - 35*z**3 - 216*z**2 - 5*z + 162. Factor m(x).
-3*(x - 72)*(x - 2)*(x + 1)
Determine r so that 5 - 1/9*r**2 - 4/9*r = 0.
-9, 5
Let m(z) = 2*z**2 - 7*z - 3. Let d be m(5). Let o be 4/d + 560/12. Determine g so that 15*g**2 + 11*g - 30 + 14*g + o*g - 3*g = 0.
-5, 2/5
Let i(q) be the second derivative of -q**4/8 + 291*q**3/2 - 254043*q**2/4 + 827*q. Factor i(p).
-3*(p - 291)**2/2
Let n = -2223835/7 + 317691. Factor 8 + n*w**2 + 58/7*w.
2*(w + 1)*(w + 28)/7
Let h(j) = 3*j**2 - 8*j - 1. Let f be h(7). Let v be 5*(-9)/(f/(-4)). Factor -4*g**3 - 2*g**2 - 209*g - v*g**2 - 3 + 229*g - 9.
-4*(g - 1)**2*(g + 3)
Let v(d) be the second derivative of -d**5/4 - 145*d**4/12 - 65*d**3/3 + 140*d**2 + d - 8. Factor v(h).
-5*(h - 1)*(h + 2)*(h + 28)
Factor -8*u**3 + 0*u + 0 - 7/2*u**5 + 0*u**2 + 23/2*u**4.
-u**3*(u - 1)*(7*u - 16)/2
Suppose -3*x - 4*x = 357. Let c be 4/(-30) + (-1 - x/45). Let -4*d**3 - 308*d**2 + 12*d + c*d**3 + 300*d**2 = 0. What is d?
-3, 0, 1
Let c = -226 - -231. Let d(t) = 2*t**2 + 5*t + 8. Let f = 7 + -13. Let w(u) = 2*u**2 + 4*u + 8. Let x(a) = c*w(a) + f*d(a). Solve x(n) = 0 for n.
-4, -1
Solve -8 + 46605*z**2 - 46606*z**2 - 82 + 23*z = 0 for z.
5, 18
Let w(d) be the third derivative of 0 + 62*d**2 + 0*d + 5/36*d**4 + 1/180*d**5 - 11/18*d**3. Factor w(k).
(k - 1)*(k + 11)/3
Let s(z) be the first derivative of 2*z + 78 - 5*z**4 - 21*z + 5*z**3 - 113*z**2 + 123*z**2 + z**5 - z. Factor s(m).
5*(m - 2)**2*(m - 1)*(m + 1)
Let v(z) be the second derivative of z**6/40 + 21*z**5/80 - 39*z**4/16 + 53*z**3/8 - 33*z**2/4 + 3*z - 92. Let v(k) = 0. What is k?
-11, 1, 2
Let -1/5*t**3 + 181*t**2 + 0*t + 0 = 0. What is t?
0, 905
Let b be -8 + 8/(24/6) + (-146)/(-24). Let h(w) be the third derivative of 0*w + 5/4*w**4 + 0 + 13*w**2 + b*w**5 + 15/2*w**3. Factor h(k).
5*(k + 3)**2
Let h = -706 + 707. Let r(m) = 6*m**3 + 26*m**2 - 20*m. Let k(c) = c**3 + c**2 - 2*c. Let v(j) = h*r(j) - 10*k(j). Suppose v(z) = 0. Calculate z.
0, 4
Let l(n) be the third derivative of n**7/70 - n**6/20 - 9*n**5/20 + 9*n**4/4 - 528*n**2. Find u, given that l(u) = 0.
-3, 0, 2, 3
Let h(i) be the second derivative of -i**6/80 + 33*i**5/160 + 23*i**4/2 + 108*i**3 + 6762*i. Determine p so that h(p) = 0.
-8, 0, 27
Let q(c) be the first derivative of 358*c**3/3 - 360*c**2 + 8*c + 1247. Factor q(i).
2*(i - 2)*(179*i - 2)
Suppose -1791*u + 364 = -8591. Factor -u + 9/4*f - 1/4*f**2.
-(f - 5)*(f - 4)/4
Let h(j) be the second derivative of 15/2*j**3 - 1/40*j**6 + 0 - 17*j - 9/40*j**5 - 75/2*j**2 + 11/16*j**4. Determine b, given that h(b) = 0.
-5, 2
Let b(v) = 85*v + 1023. Let j be b(-12). Let p(y) be the second derivative of -11*y - 4*y**j + 18*y**2 + 0 + 1/3*y**4. Factor p(c).
4*(c - 3)**2
Let d(y) be the first derivative of -1/8*y**6 + 23 + 9/2*y**2 - 3/10*y**5 + 0*y - 7*y**3 + 57/16*y**4. What is t in d(t) = 0?
-6, 0, 1, 2
Let v(c) be the first derivative of -c**5/45 + 193*c**4/36 - 383*c**3/27 + 191*c**2/18 + 8385. Factor v(h).
-h*(h - 191)*(h - 1)**2/9
Factor -4*v**4 - 86663*v**3 + 84 - 67*v - 80*v**2 - 21*v + 86751*v**3.
-4*(v - 21)*(v - 1)**2*(v + 1)
Factor 3/5*g**3 - 798/5*g**2 - 4869/5*g - 7344/5.
3*(g - 272)*(g + 3)**2/5
Let q(u) be the first derivative of -4*u**3/9 - 2*u**2/3 + 408*u + 8843. Determine k, given that q(k) = 0.
-18, 17
Let c(y) = 5*y**4 - 85*y**3 + 202*y**2 + 778*y + 2. Let g(f) = -60*f**4 + 1020*f**3 - 2425*f**2 - 9335*f - 25. Let a(n) = -25*c(n) - 2*g(n). Factor a(o).
-5*o*(o - 13)*(o - 6)*(o + 2)
Let q be 3 - 8/(1 - -3). Let j(x) = 5*x**2 - 2*x. Let k be j(q). Suppose 0*z**2 + 6*z**k + 4*z**5 + 6*z**4 - 2*z**5 + 2*z**2 = 0. Calculate z.
-1, 0
Let f be 28/2 + 3 + (38 - 1924/37). Factor -10/3*m - 1/3*m**2 - f.
-(m + 1)*(m + 9)/3
Let n(z) = z**3 - z**2 + 5*z - 1. Let a(h) = 2*h**4 + 14*h**3 - 160*h**2 + 226*h - 138. Let d(y) = 