- 4)*(z + 70)**3/3
Let h(z) = -z**3 - 10*z**2 - 23*z + 8. Let u be h(-4). Factor -1/6*t**u + 0*t + 1/3*t**2 + 0*t**3 - 1/6.
-(t - 1)**2*(t + 1)**2/6
Let i = 75136513/80046 + -1/80046. Let x = i + -938. Solve 2/5*g**2 - 8/15*g**4 + 2/15 - x*g + 2/3*g**3 = 0 for g.
-1, 1/4, 1
Let t(a) be the first derivative of -a**4/12 + 19*a**3/9 + 10*a**2/3 - 1149. Let t(g) = 0. What is g?
-1, 0, 20
Let u(p) = -p**3 + 23*p**2 + 6*p**2 - 45*p + 2 + 48*p + 27*p. Let n be u(30). Solve 1/7*a**n - 4/7 + 0*a = 0.
-2, 2
Let k(w) be the first derivative of -4*w**6/15 + 21*w**5/10 - 5*w**4 - 4*w**3/3 + 24*w**2 - 43*w - 121. Let z(f) be the first derivative of k(f). Factor z(y).
-2*(y - 2)**3*(4*y + 3)
Let -43/2*w + 1/4*w**2 - 455/4 = 0. What is w?
-5, 91
Factor -1/2*t**3 + 97/2*t**2 + 0 + 99*t.
-t*(t - 99)*(t + 2)/2
Let t(j) be the third derivative of j**7/630 - 19*j**6/360 + 31*j**5/180 + 17*j**4/24 + 510*j**2 + 2*j + 3. Factor t(g).
g*(g - 17)*(g - 3)*(g + 1)/3
Suppose 7291443/5 - 9354/5*h + 3/5*h**2 = 0. What is h?
1559
Find k, given that -16/7*k**3 - 3092/7*k**2 - 3844/7*k - 768/7 = 0.
-192, -1, -1/4
Let q(d) be the first derivative of 0*d**2 - 1/11*d**4 + 0*d - 270 + 2/33*d**3 + 2/55*d**5. Factor q(l).
2*l**2*(l - 1)**2/11
Let l = 689/4 + -6193/36. Let x = 2857/1854 + 3/206. Factor -10/9*y**2 + l*y + x*y**3 + 0 - 2/3*y**4.
-2*y*(y - 1)**2*(3*y - 1)/9
Let b = -91013/22 - -8275/2. What is l in -b*l**4 + 36/11 - 38/11*l**3 + 6/11*l - 62/11*l**2 = 0?
-3, -1, 2/3
Let r(g) be the second derivative of -g**7/357 + 2*g**6/51 + 23*g**5/170 - 22*g**4/17 - 360*g - 5. Solve r(h) = 0 for h.
-4, 0, 3, 11
Let h(c) be the third derivative of -c**5/240 + 323*c**4/48 - 104329*c**3/24 + 578*c**2 - c. Let h(q) = 0. What is q?
323
Factor -219/4*c - 105/4*c**2 - 111/4 + 3/4*c**3.
3*(c - 37)*(c + 1)**2/4
Let k(c) = -77*c + 313. Let f be k(4). Let d(r) be the first derivative of 0*r**f + 1/8*r**4 - 1/8*r**2 - 1/24*r**6 + 0*r + 0*r**3 - 5. Solve d(j) = 0.
-1, 0, 1
Suppose 5*y + 4*z - 155 = 0, 4*z = -y + 3 + 12. Let i be (2 - 46/y)/((-10)/(-35)). Suppose -6/5*f**2 + 1/5*f**3 - 8/5 + i*f = 0. What is f?
2
Suppose 5*m = 3*f + 26 + 110, 4*f = -3*m - 162. Let h = f - -55. Find t such that 18*t**2 - 10*t**3 + 4 + h*t + 8*t**4 - 27*t - 6*t**4 = 0.
1, 2
Let u(s) be the second derivative of -s**7/14 + 47*s**6/10 - 249*s**5/4 - 3427*s**4/4 + 208*s**3 + 5070*s**2 - 2382*s. What is a in u(a) = 0?
-5, -1, 1, 26
Let d = -364739/4 + 91186. Solve 11/4*i - d*i**4 + 1/2*i**2 - 7/2*i**3 + 3/4*i**5 + 3/4 = 0.
-1, -1/3, 1, 3
Let u be (-35)/30 + -1 + 183/18 - (-270)/(-35). Solve 8/7 + u*p**4 + 0*p**3 + 0*p - 10/7*p**2 = 0 for p.
-2, -1, 1, 2
Let t be 3/(22 + (-67 - -57)). Solve -9/4*v + 7/2 + t*v**2 = 0.
2, 7
Let y(m) be the second derivative of 2*m**7/7 - 47*m**6/10 + 144*m**5/5 - 301*m**4/4 + 52*m**3 + 72*m**2 + 3721*m. Suppose y(l) = 0. What is l?
-1/4, 1, 3, 4
Let x(w) be the third derivative of -w**8/1344 + w**7/84 + 19*w**6/480 - 49*w**5/60 - w**4/8 + 30*w**3 - 12184*w**2. Solve x(r) = 0.
-4, -2, 3, 10
Let s(b) be the second derivative of b**5/140 + 43*b**4/21 + 3698*b**3/21 + b - 331. Solve s(r) = 0.
-86, 0
Let o(y) be the first derivative of y**5/15 - y**4 + 4*y**3/3 + 40*y**2/3 - 5064. Factor o(i).
i*(i - 10)*(i - 4)*(i + 2)/3
Let t(d) be the third derivative of 1/45*d**5 - 3*d - 7/6*d**4 - 26*d**2 + 0 + 0*d**3. Factor t(w).
4*w*(w - 21)/3
Let t(g) be the second derivative of g**7/21 + 259*g**6/15 + 22699*g**5/10 + 701845*g**4/6 + 2543200*g**3/3 + 2456500*g**2 - 17*g + 43. Factor t(l).
2*(l + 2)**2*(l + 85)**3
Suppose 31*j - 27*j = 16. Suppose j*h - 13 + 33 = t, t = -5*h - 16. Factor -3*l**t - 88*l**2 - 36 + l**4 - 34*l**3 - 96*l + 2*l**3 - 2*l**4.
-4*(l + 1)**2*(l + 3)**2
Let s = 33 + -19. Let j = s + -11. Factor -j*f - 36 + 319*f**2 - 320*f**2 + 15*f.
-(f - 6)**2
Let w(z) be the second derivative of -z + 5/3*z**3 - 1/2*z**5 + 1/6*z**6 + 11 + 0*z**2 - 5/12*z**4. Factor w(b).
5*b*(b - 2)*(b - 1)*(b + 1)
Let g(u) be the third derivative of 2*u**7/105 + 43*u**6/120 - 23*u**5/12 + 13*u**4/12 - 1147*u**2. Factor g(j).
j*(j - 2)*(j + 13)*(4*j - 1)
Let u(x) be the third derivative of x**7/210 + 5*x**6/8 - 19*x**5/15 - 7839*x**2. Factor u(f).
f**2*(f - 1)*(f + 76)
Let j = -5758/11 + 23197/44. What is f in j*f - 3/4*f**2 - 9/2 = 0?
2, 3
Let p(f) be the third derivative of 0*f**3 + 0*f**5 - 23/210*f**7 + 0*f + 236*f**2 + 0*f**6 + 0*f**4 - 1/336*f**8 + 0. Let p(v) = 0. What is v?
-23, 0
Let p be ((-35)/20)/(49/(-42)). Let f(k) be the second derivative of -1/4*k**4 + 0 - 19*k + 0*k**2 + p*k**3. Factor f(b).
-3*b*(b - 3)
Suppose 0 = -38*q + 32*q + 336. Factor 8*w - 111*w**2 + 51*w**2 + q*w**2 + 12.
-4*(w - 3)*(w + 1)
Let l = 132 - 130. Solve -2*o**5 + 786 - 5*o**4 + 8*o - 798 - 9*o**3 + 17*o**l + 3*o**5 = 0.
-2, -1, 1, 6
Let q(g) = -g**3 - g**2 - 1. Let p be 4 + -3 + -1 - (12 - 0). Let r = 8 + p. Let n(v) = -20*v**4 + 19*v**3 + 9*v**2 + 4. Let i(b) = r*q(b) - n(b). Factor i(x).
5*x**2*(x - 1)*(4*x + 1)
Let n = -5/9567 + 89297/9567. Factor -1/6*b**2 - 392/3 - n*b.
-(b + 28)**2/6
Let n = 2/819067 + 597099839/1638134. Let 1/4*i**3 + 14*i**2 + n + 837/4*i = 0. Calculate i.
-27, -2
Let l(i) = i**2 - 13*i - 32. Let b be l(-3). Factor -27*p**2 - 40*p**3 + 13*p + 6*p - 12*p**4 + 11*p**2 - 3*p + b*p.
-4*p*(p + 2)**2*(3*p - 2)
Let w be (-1)/2*-2*3 + 681. Let i = 686 - w. Factor 1/4*b**i - 7/2*b + 49/4.
(b - 7)**2/4
Let k be (5 + -5 - 1)/(2/1110). Let c be (36/(-91))/(13 - k/(-42)). Factor 2/13*l**4 + 120/13*l + 92/13*l**2 + c*l**3 + 50/13.
2*(l + 1)**2*(l + 5)**2/13
Let t(y) be the first derivative of -2*y**2 + 0*y + 24 + 25/4*y**4 - 14/5*y**5 + 8/3*y**3. Find s such that t(s) = 0.
-1/2, 0, 2/7, 2
Let h(i) be the second derivative of -i**7/14 - 47*i**6/5 - 111*i**5/4 - 23*i**4 + 1994*i. Factor h(f).
-3*f**2*(f + 1)**2*(f + 92)
Let k(q) be the second derivative of -q**2 + 1/10*q**5 + 1/6*q**4 + 0 - 30*q - 1/3*q**3. Suppose k(u) = 0. Calculate u.
-1, 1
Let z(w) = w - 7. Let x(h) = -5*h**2 - 316*h - 28. Let k(d) = -x(d) + 4*z(d). Factor k(j).
5*j*(j + 64)
Let a = 8655/7 + -1236. Let n be (-45)/42 + 9/6. Factor -n*f**4 + 6/7*f**3 + 6/7*f**2 - 3/7*f**5 - 3/7 - a*f.
-3*(f - 1)**2*(f + 1)**3/7
Let v = 1564839 - 1564815. Solve 0 + v*t**4 + 0*t - 201/4*t**3 + 51/2*t**2 + 3/4*t**5 = 0 for t.
-34, 0, 1
Let v(a) be the second derivative of 4*a**7/21 - 64*a**6/5 + 717*a**5/10 - 557*a**4/6 - 226*a**3 + 792*a**2 + 2*a - 1893. What is o in v(o) = 0?
-1, 3/2, 2, 44
Let x = -65/69 + 51/46. Let f(c) be the first derivative of -1/8*c**4 + 1 - 1/18*c**3 + x*c**2 + 0*c. What is k in f(k) = 0?
-1, 0, 2/3
What is o in 3*o**4 + 453*o**3 + 5 - 202 + 1776*o**2 + 197 + 1764*o = 0?
-147, -2, 0
Suppose 3*r = 2*h + 8, -r + 9 = -5*h - 11. Suppose x + 2*x = -9*x. Factor 0*g**3 + r + 3*g**4 + 0*g + 15/2*g**5 + x*g**2.
3*g**4*(5*g + 2)/2
Suppose 88 = 10*q + 28. Suppose -2*k = -4*k + q, 4*g = -k + 11. Suppose g*a**2 - 2*a**2 - 5*a - 5*a**2 = 0. Calculate a.
-1, 0
Let n(l) be the first derivative of l**3 - 75*l**2 + 1875*l + 1159. Factor n(r).
3*(r - 25)**2
Let p(h) = -60*h**2 + 4138*h + 4154. Let t(i) = 11*i**2 - 828*i - 831. Let o(k) = -2*p(k) - 11*t(k). Factor o(j).
-(j - 833)*(j + 1)
Let l = -82/15 - -5942/1065. Let z = l - -338/781. Factor 18/11*x - 6/11*x**5 - 12/11*x**2 - 12/11*x**3 - z + 18/11*x**4.
-6*(x - 1)**4*(x + 1)/11
Let j = -11 + 13. Suppose 13 = 2*w + 5. Factor 12*i + w*i**3 - 5*i**3 - j*i**3.
-3*i*(i - 2)*(i + 2)
Let j be (232/52983*58)/(1/14). Factor -j*m - 28/9*m**2 + 4/9*m**3 + 0.
4*m*(m - 8)*(m + 1)/9
Let d = 669475 + -6025139/9. Solve -4/9*n**3 + 2048/9 + d*n**2 - 1280/9*n = 0.
2, 16
Let d = 11135 - 11224079/1008. Let c(m) be the third derivative of 0*m**5 + 0*m**4 + 0 + 4*m**2 + d*m**8 + 1/315*m**7 + 0*m + 0*m**3 - 1/120*m**6. Factor c(f).
f**3*(f - 1)*(f + 3)/3
Let b(u) be the third derivative of 17*u**9/60480 - u**8/560 + u**7/240 - u**6/360 + u**5 - 98*u**2 - 2. Let y(s) be the third derivative of b(s). Factor y(c).
(c - 1)**2*(17*c - 2)
Let s(y) = 2*y**5 + 6*y**4 + 18*y**3 - 14*y**2 + 8*y - 4. Let m(w) = 4*w**4 + w - 1. Let x(f) = -4*m(f) + s(f). Solve x(g) = 0 for g.
0, 1, 2
Let d(l) be the first derivative of 7 + 1/72*l**4 + 0*l - 1/180*l**5 + 3/2*l**2 + 0*l**3. Let z(a) be the second derivative of d(a). Factor z(u).
-u*(u -