70*t**7 + 47/40*t**6 - 45*t**2 + 0. Factor p(c).
3*(c - 1)*(c + 3)**2*(9*c + 2)
Let d(q) be the third derivative of q**5/180 + 55*q**4/36 + 109*q**3/18 + 2031*q**2 + 2. Factor d(j).
(j + 1)*(j + 109)/3
Suppose 0 = -r - 5*k + 3, -4*r - 5*k = -5 - 7. Let b(y) be the first derivative of 1/2*y**2 + 5/24*y**r + 33 + 3/8*y. What is z in b(z) = 0?
-1, -3/5
Let x(w) be the first derivative of -1848/5*w**5 - 283*w**3 + 2019/4*w**4 - 70 + 98*w**6 - 3*w + 93/2*w**2. Factor x(a).
3*(a - 1)**3*(14*a - 1)**2
Let w(j) be the second derivative of -167*j**4/6 - 335*j**3/3 - 2*j**2 + 201*j - 2. Let w(v) = 0. What is v?
-2, -1/167
Let f(w) be the second derivative of -2/3*w**3 + 50*w + 1 - 5/3*w**2 - 1/18*w**4. Find t such that f(t) = 0.
-5, -1
Let h be 15/6 + (-20)/(-40). Let 0*g**4 - h*g**4 + 23*g**3 - 3*g**3 - 14*g**3 = 0. What is g?
0, 2
Suppose 246*t = 248*t - 8. Let w be (320/(-240))/(t/(-6)). Solve 0 - 8/7*b**w + 0*b - 12/7*b**3 - 4/7*b**4 = 0 for b.
-2, -1, 0
Suppose -33*m + 813/8*m**2 - 273/8*m**4 + 261/8*m**3 - 135/2 + 3/8*m**5 = 0. What is m?
-1, 1, 2, 90
Let m(y) = -y**4 + 12*y**3 - 3*y**2 - 20. Let d(k) = 6*k**4 - 60*k**3 + 18*k**2 + 105. Let c(u) = 4*d(u) + 21*m(u). Factor c(s).
3*s**2*(s + 1)*(s + 3)
Factor 0 + 300/7*y - 4/7*y**2.
-4*y*(y - 75)/7
Suppose -3*u - 2*k + 5 - 3 = 0, 2*u + 5*k = -6. Suppose 2*v**2 - 4*v - 12*v**u + 10*v**2 + 4*v**3 = 0. Calculate v.
-1, 0, 1
Let o(i) be the second derivative of -i**9/3024 + i**8/1344 - 77*i**4/12 - 17*i + 2. Let j(z) be the third derivative of o(z). Solve j(b) = 0 for b.
0, 1
Let a be (84/(-48)*6/35)/(1196/(-195) + 6). Suppose -7/4*p**4 + 1/2 + 5/4*p**2 + a*p - 9/4*p**3 = 0. What is p?
-1, -2/7, 1
Factor 567/4*i**2 - 3/4*i**3 + 861/2*i + 288.
-3*(i - 192)*(i + 1)*(i + 2)/4
Let s(c) = 9*c**4 - 87*c**3 - 660*c**2 - 1017*c - 3. Let r(x) = -22*x**4 + 175*x**3 + 1319*x**2 + 2035*x + 7. Let v(p) = -3*r(p) - 7*s(p). Factor v(g).
3*g*(g + 2)*(g + 13)**2
Let i = -17651 - -17657. Let z(x) be the first derivative of 0*x + 2/9*x**i + 0*x**3 + 1/3*x**4 + 0*x**2 + 2/3*x**5 - 11. Factor z(v).
2*v**3*(v + 2)*(2*v + 1)/3
Suppose 0 = -37*i + 8*i + 5*g + 113, 5*i - 65 = 5*g. Let -108/5 + 6/5*m**3 + 33/5*m**i - 36/5*m - 3/5*m**4 = 0. Calculate m.
-2, 3
Suppose -4*b - 4*a + 74 = -2*b, -a = -4. Let m = -26 + b. Factor -4*n**5 + 11 - 26*n + 4*n - 3 + 16*n**m + 10*n - 8*n**2.
-4*(n - 1)**3*(n + 1)*(n + 2)
Let y(h) be the third derivative of 2/175*h**7 + 0*h**3 + 0*h + 13/75*h**5 - 7/40*h**4 - 7/100*h**6 - 1/1680*h**8 - 203*h**2 + 0. Suppose y(i) = 0. What is i?
0, 1, 3, 7
Find a, given that a**2 - 1/6*a**4 + 1/2*a**3 - 4/3*a + 0 = 0.
-2, 0, 1, 4
Let q be -5 - (2 - 6) - (1 - 6). Let d be q + (-6)/4 + -2. Let 0 + 0*x**2 + d*x**4 + 0*x + 3*x**3 = 0. Calculate x.
-6, 0
Let a(v) be the third derivative of v**6/225 + 11*v**5/300 - v**4/20 + 50*v**3/3 - 78*v**2. Let u(g) be the first derivative of a(g). Factor u(t).
2*(t + 3)*(4*t - 1)/5
Let t(j) = -40*j + 43. Let z be t(1). Let c(v) = v**3 - 17*v**2 + 43*v - 14. Let w be c(14). Factor 6/5*m**z + w*m - 3/5*m**4 + 9/5*m**2 + 0.
-3*m**2*(m - 3)*(m + 1)/5
Let s(n) be the second derivative of n**4/18 - 10*n**3/3 + 161*n**2/3 + 3*n - 187. Suppose s(w) = 0. What is w?
7, 23
Let v(y) be the first derivative of 1/40*y**4 + 1/30*y**3 - 54 - 1/50*y**5 + 0*y - 1/20*y**2. Factor v(i).
-i*(i - 1)**2*(i + 1)/10
Let m be -9*1*26/(-39). Suppose 0 = m*n - 14*n + 16. Find c, given that 1148*c**n + 2*c - 1152*c**2 - 3*c - 4*c**3 = 0.
-1/2, 0
Let a(d) = 34*d + 243. Let n be a(-7). Let v(p) be the second derivative of 0*p**2 + 0 - 5*p + 2/105*p**6 - 1/35*p**n + 0*p**4 + 0*p**3. Factor v(l).
4*l**3*(l - 1)/7
Let b(c) = -c**3 + 8*c**2 + 11*c - 1. Let a be b(9). Suppose 0 = -19*y + a*y + 4. Factor -8 - 5*k**2 + 7*k**2 - 6*k**2 + 12*k - 2*k**y + k**3.
(k - 2)**3
Let x be 12/19 + (-3604720)/(-35796). Factor 28/3*t**3 + 160/3*t**2 + 64 + x*t.
4*(t + 2)**2*(7*t + 12)/3
Let o(n) be the second derivative of n**6/140 - 2*n**5/21 - 31*n**4/84 - 8*n**3/21 - 38*n**2 + 105*n. Let c(g) be the first derivative of o(g). Factor c(k).
2*(k - 8)*(k + 1)*(3*k + 1)/7
Let s(q) be the first derivative of -32 + 1/2*q**4 + 35*q**2 + 26/3*q**3 - 98*q. Suppose s(x) = 0. What is x?
-7, 1
Let r = 645212/50943 + 22/16981. Suppose -1/3*b**2 - r*b - 361/3 = 0. Calculate b.
-19
Let m = -14642 - -14646. Let p(n) be the third derivative of 0*n + 8*n**2 + 0 + 3/4*n**m + 1/40*n**6 + 1/4*n**5 + 0*n**3. Let p(j) = 0. What is j?
-3, -2, 0
Let y(b) = 5387*b + 409426. Let a be y(-76). Suppose -44 + 40/11*l**2 + a*l + 2/11*l**3 = 0. What is l?
-11, 2
Let g(w) = -466*w + 955. Let o be g(2). Let b(j) be the second derivative of 1/6*j**4 + o*j + 9*j**2 + 0 - 2*j**3. Suppose b(n) = 0. What is n?
3
Let y = -43059 - -43061. Factor 14/5*x - 4/5*x**y - 6/5.
-2*(x - 3)*(2*x - 1)/5
Let x(r) = r**2 - 63*r + 955. Let o be x(38). Let j(l) be the first derivative of 85/8*l**2 + 5/4*l**4 - 25/3*l**3 - 15 - o*l. Let j(g) = 0. Calculate g.
1/2, 4
Let v be 2/(-8)*-19 + (-6)/(7 - 31). Let k(m) be the third derivative of 2/63*m**3 + 0*m - 1/36*m**4 + 1/210*m**v + 0 + 15*m**2. What is q in k(q) = 0?
1/3, 2
Let a(y) = 120*y**2 + 406*y - 2. Let v(i) = 123*i**2 + 407*i - 4. Let q(r) = 8*a(r) - 7*v(r). Factor q(w).
3*(w + 4)*(33*w + 1)
Let l(t) be the third derivative of -t**7/1050 - t**6/200 + 2820*t**2. Factor l(p).
-p**3*(p + 3)/5
Let r(w) be the third derivative of -w**7/13860 + w**6/1980 - w**5/660 + 71*w**4/12 + 5*w**2 + 2. Let l(i) be the second derivative of r(i). Factor l(s).
-2*(s - 1)**2/11
Let i be (-5 - 14 - -19)/(2/1 - 3). Let g(p) be the third derivative of i*p + 0 - 8*p**2 + 1/210*p**6 + 0*p**4 + 2/105*p**5 + 0*p**3. Factor g(k).
4*k**2*(k + 2)/7
Let n = -137056 + 137058. Let 0 + 1/2*c**5 + 0*c - n*c**4 + 2*c**3 + 0*c**2 = 0. What is c?
0, 2
Let m = 4087 + -4069. Let z(g) be the first derivative of -1/48*g**4 + 1/3*g + 0*g**2 + m - 1/12*g**3. Determine u so that z(u) = 0.
-2, 1
Let y(r) be the first derivative of 45*r**4 + 72*r**3 - 69/10*r**5 + 261 + 0*r**2 + 1/4*r**6 + 0*r. What is z in y(z) = 0?
-1, 0, 12
Suppose 4*x - 28 = 2*s, -2*x - 5*s + 5 = 15. Suppose 2*d = x*d - 4*z - 13, -d = 4*z + 1. Factor 27 - 977*w + w**d + 9*w**2 - 2*w**3 + 950*w.
-(w - 3)**3
Suppose 11002 = 395*x + 10212. Let -1/4*u**3 - u + 0 + 5/4*u**x = 0. Calculate u.
0, 1, 4
Let r = -3125/2 - -1565. Let i(j) be the first derivative of 12 + 0*j + 5/3*j**3 - r*j**2. Determine k, given that i(k) = 0.
0, 1
Let u = 54499 - 54494. Solve -2/5*m**u - 6/5*m**2 + 6/5*m**4 + 0 + 2*m**3 - 8/5*m = 0.
-1, 0, 1, 4
Let z(h) be the third derivative of -7/60*h**5 - 13/240*h**6 + 0*h**3 - 21*h**2 + 0*h - 1 + 1/420*h**7 + 0*h**4. Suppose z(t) = 0. Calculate t.
-1, 0, 14
Let v(l) = -184*l - 4236. Let s(x) be the first derivative of x**3/3 - 184*x**2 - 8474*x - 65. Let d(z) = -4*s(z) + 10*v(z). Solve d(n) = 0.
-46
Let q(z) = -14*z**2 - z**3 - 9*z + 6*z**2 + 14*z**2 + 3*z**2 + 18. Let g be q(8). Solve 6*n**2 + 18*n**5 - 14*n**4 - 76*n**3 - g*n**4 - 6*n - 46*n**2 = 0 for n.
-1, -1/3, 0, 3
Let f(p) = -p**4 + p**3 + 2*p**2 - p. Let g(w) = -w**4 - w**3 - 5*w**2 - 7*w. Let y(s) = 6*f(s) - 3*g(s). Let y(d) = 0. Calculate d.
-1, 0, 5
Let h(r) = -4*r**2 + 45*r + 23. Let v be h(11). Let 23*k**5 + 156*k - v*k**2 + 32 - 7*k**5 - 120*k**3 - 52*k**3 - 108*k**4 + 110*k**2 = 0. Calculate k.
-1, -1/4, 1, 8
Let b(v) be the second derivative of -v**5/170 - v**4/51 + 33*v**3/17 + 34*v - 21. What is x in b(x) = 0?
-11, 0, 9
Determine w so that -2/7*w**3 + 314/7 + 626/7*w + 310/7*w**2 = 0.
-1, 157
Let t(f) = -39*f**2 - 209*f - 210. Let x be t(-4). Factor 4/3*z**x + 12100/3 - 440/3*z.
4*(z - 55)**2/3
Let f(w) be the first derivative of 5/9*w**3 + 1/12*w**4 + 17 + 0*w**2 + 0*w. Find g, given that f(g) = 0.
-5, 0
Let m(q) be the second derivative of -q**7/252 - 17*q**6/15 - 5099*q**5/60 + 1751*q**4/6 - 10609*q**3/36 - q + 338. Factor m(n).
-n*(n - 1)**2*(n + 103)**2/6
Let d = 48/329 - -31056/3619. Let n be (-1)/3 + (-3)/45 + (-1632)/(-2805). Factor 16/11*y - d + 10/11*y**2 - n*y**3.
-2*(y - 4)**2*(y + 3)/11
Let z be -2 + (-3 - -4) + 5. Let m be (-30)/(-50) - 3/((-30)/74). Factor m*d**2 - d**3 - 5*d**3 + 10*d**3 + z*d.
4*d*(d + 1)**2
Factor 9357 - 4656 + 1710*x + 585*x**2 - 4701 + 5*x**3.
5*x*(x + 3)*(x + 114)
Let y(k) be the 