nd z such that d(z) = 0.
-15, 1
Factor d**4 - 24 + 8*d + 13*d**2 + 2*d**4 - 46*d**2 - 62*d.
3*(d - 4)*(d + 1)**2*(d + 2)
Let k = -1367 + 4521/4. Let i = k - -238. Let -2*m - 1 - 1/4*m**3 - i*m**2 = 0. What is m?
-2, -1
Let y(f) be the first derivative of -f**4/16 + 13*f**3/12 - 6*f**2 + 9*f + 243. Let y(x) = 0. Calculate x.
1, 6
Let q(d) be the second derivative of 1/28*d**4 - 1/294*d**7 + 1/21*d**3 - 8*d + 0*d**2 - 1/140*d**5 - 1/70*d**6 + 0. Suppose q(n) = 0. What is n?
-2, -1, 0, 1
Factor 162*s - 32 - 22*s**3 - 202*s - 16*s**3 + 5*s**4 + 84*s**2.
(s - 4)*(s - 2)**2*(5*s + 2)
Let s(o) be the third derivative of 11*o**7/10 + 113*o**6/40 - 211*o**5/10 - 53*o**4/2 - 12*o**3 + 577*o**2. Let s(v) = 0. What is v?
-3, -2/7, -2/11, 2
Let m(u) = -u**4 + 10*u**3 - 8*u**2 + 14*u - 3. Let w(c) = 2*c**4 - 19*c**3 + 15*c**2 - 25*c + 5. Let p(d) = -11*m(d) - 6*w(d). Solve p(q) = 0 for q.
-1, 1, 3
Solve 0 + 35/6*v**2 + 5/2*v**3 + 5/3*v = 0.
-2, -1/3, 0
Let f = -2116/7 + 2145/7. Determine k, given that -4/7 - f*k**2 - 20/7*k - 3/7*k**4 - 16/7*k**3 = 0.
-2, -1, -1/3
Suppose 0 = p - 2, -24 = -5*d - 3*p + 6*p. Let f(g) = 3*g**2 + 11*g - 19. Let i(u) = -u**2 - 6*u + 9. Let z(s) = d*f(s) + 15*i(s). Factor z(w).
3*(w - 7)*(w - 1)
What is s in -13*s + 1/4*s**2 - 53/4 = 0?
-1, 53
Let u(x) be the first derivative of x**3 - 45*x**2 + 243*x - 600. Factor u(c).
3*(c - 27)*(c - 3)
Let y = -6853 + 6857. Factor -2/7*z**5 + 0*z**3 + 4/7*z**2 - 4/7*z**y + 0 + 2/7*z.
-2*z*(z - 1)*(z + 1)**3/7
Factor -9/2*d + 1/2*d**2 + 4.
(d - 8)*(d - 1)/2
Let l(g) be the second derivative of -g**5/140 - g**4/56 + 15*g**2/2 + 11*g. Let n(y) be the first derivative of l(y). Determine v so that n(v) = 0.
-1, 0
Let y(q) be the second derivative of q**4 - q + 3/2*q**3 - 3*q**2 + 3/14*q**7 - 1/5*q**6 - 9/10*q**5 + 0. Suppose y(f) = 0. Calculate f.
-1, 2/3, 1
Let s(w) be the first derivative of w**7/735 - w**5/105 + w**3/21 - 23*w**2/2 - 10. Let k(v) be the second derivative of s(v). Determine u, given that k(u) = 0.
-1, 1
Let k(m) be the first derivative of 3/2*m - 1/2*m**3 + 5 + 3/8*m**2 - 3/16*m**4. Factor k(j).
-3*(j - 1)*(j + 1)*(j + 2)/4
Let t be ((-40)/(-9) - 4)/((-278)/(-1251)). Factor -1 + 0*g**4 + g**2 + 1/2*g**5 - t*g**3 + 3/2*g.
(g - 1)**3*(g + 1)*(g + 2)/2
Let m(c) = -c**2 - 23*c - 122. Let n be m(-14). Suppose 0*b = -2*b + 4. Factor -n*f + 5/2*f**2 + b - 1/2*f**3.
-(f - 2)**2*(f - 1)/2
Let q = -40391/9 - -4491. Factor 2/9*l**5 - 4/3*l**4 + q*l**3 - 32/9*l**2 + 2*l - 4/9.
2*(l - 2)*(l - 1)**4/9
Let s(p) be the second derivative of -7*p**5/5 - 4*p**4 - 2*p**3 + 4*p**2 - 2*p. Let s(y) = 0. What is y?
-1, 2/7
Determine w, given that -17 - 14 - 15*w - 14 + 5*w**2 + 55 = 0.
1, 2
Let 1653*t**3 - 18*t - 10*t**2 - 1657*t**3 - 17*t**2 = 0. What is t?
-6, -3/4, 0
Let d(m) = 3*m**3 - 9*m - 6. Let t(f) = 4*f**3 - f**2 - 10*f - 7. Let h be 3*2/(-6)*6. Let r(q) = h*t(q) + 7*d(q). Determine u so that r(u) = 0.
0, 1
Let t(l) be the third derivative of 1/30*l**6 + 0*l + 0 + 49/2*l**4 + 6*l**2 - 7/5*l**5 - 686/3*l**3. Suppose t(d) = 0. Calculate d.
7
Suppose -8*l - 140*l = 14*l. Factor l + 4/7*y**3 + 0*y**2 + 6/7*y**5 + 0*y - 10/7*y**4.
2*y**3*(y - 1)*(3*y - 2)/7
Suppose 32 = 5*d - d. Let t = d - 5. Let -1/2*n + 0 + 1/4*n**4 + 1/2*n**t - 1/4*n**2 = 0. What is n?
-2, -1, 0, 1
Let q(z) be the second derivative of -z**6/12 + 35*z**4/24 - 5*z**3/2 - 185*z. Factor q(u).
-5*u*(u - 2)*(u - 1)*(u + 3)/2
Let f(k) = -k**3 + 24*k**2 + 29*k - 98. Let b be f(25). Factor -3/2*o**b - 216 - 36*o.
-3*(o + 12)**2/2
Let j = 4826/35 - 954/7. Solve -4/5*a**3 - j*a**5 + 0*a + 18/5*a**4 + 0 + 0*a**2 = 0 for a.
0, 1/4, 2
Let t = -234 + 234. Let d(v) be the third derivative of 0 - 2*v**2 + 0*v**4 + 0*v**3 + 1/840*v**7 - 1/240*v**5 + t*v**6 + 0*v. Suppose d(f) = 0. What is f?
-1, 0, 1
Suppose -5*m = 21 - 31. Let u be (4/(-6))/(m/(-6)). Factor 3*r**3 + u*r - 4*r**2 + 0*r**3 - 2*r**3 + r**3.
2*r*(r - 1)**2
Let i(f) be the second derivative of -15*f + 0 + 5/294*f**7 + 2/7*f**2 + 53/84*f**4 + 11/28*f**5 + 4/7*f**3 + 9/70*f**6. Factor i(c).
(c + 1)**3*(c + 2)*(5*c + 2)/7
Let l(n) = -n**3 + 3*n**2 - 9*n + 3. Let q(b) = 5*b**2 + b. Let j(t) = -t**2. Let k(c) = -4*j(c) - q(c). Let v(o) = -6*k(o) + 3*l(o). Solve v(s) = 0 for s.
1, 3
Let c be (-36)/(-234) - (-1608)/195. Let z = c + -39/5. Factor -6/5 - 9/5*x - z*x**2.
-3*(x + 1)*(x + 2)/5
Let x be 6/4*(-22 + 23). Let p(o) be the first derivative of 1 + x*o**2 - o**3 + 6*o. Factor p(y).
-3*(y - 2)*(y + 1)
Factor 2 + 2*p**2 - 4*p**2 - 10 - 7*p - 3*p.
-2*(p + 1)*(p + 4)
Let i(w) be the second derivative of 16*w + 40/51*w**3 + 7/51*w**7 + 47/34*w**5 + 145/102*w**4 + 4/17*w**2 + 0 + 35/51*w**6. Suppose i(c) = 0. What is c?
-1, -2/7
Find v such that 66 + 64*v**2 + 1095*v**3 - 4*v**5 - 20*v**4 - 2 + 128*v - 1111*v**3 = 0.
-2, -1, 2
Factor 0 + 12*z - 3/2*z**2.
-3*z*(z - 8)/2
Let o(a) = -21*a**3 - 141*a**2 - 78*a + 214. Let x(y) = -10*y**3 - 70*y**2 - 40*y + 108. Let g(k) = -6*o(k) + 13*x(k). What is h in g(h) = 0?
-15, -2, 1
Let c(p) be the first derivative of 8*p**5 - 163*p**4/2 - 316*p**3/3 + 43*p**2 + 36*p - 94. Let c(z) = 0. What is z?
-1, -1/4, 2/5, 9
Let -43*s**3 - 2*s**2 + 17*s**2 - 7*s + 4*s**4 + 1 + 30*s**3 = 0. What is s?
1/4, 1
Let u = -1108 - -5543/5. Factor 0*x**2 - 3/5*x**5 + 0 + 6/5*x**4 + 0*x - u*x**3.
-3*x**3*(x - 1)**2/5
Let s(w) be the second derivative of -2*w**7/21 - 2*w**6/15 + 6*w**5/5 - 2*w**4/3 - 10*w**3/3 + 6*w**2 - 66*w. Let s(x) = 0. What is x?
-3, -1, 1
Let b(j) be the third derivative of 0*j**3 - 1/60*j**4 + 0*j - 1/1680*j**8 + 1/200*j**6 - 1/300*j**5 + 21*j**2 + 1/1050*j**7 + 0. Suppose b(m) = 0. What is m?
-1, 0, 1, 2
Let p be 6*(30/(-18))/(0 + -5). Let f = 7 - 4. Factor 0*q**p + 0 + 3/2*q - 3/2*q**f.
-3*q*(q - 1)*(q + 1)/2
Let u(w) be the third derivative of -w**5/330 - w**4/66 + 319*w**2. Factor u(x).
-2*x*(x + 2)/11
Let f = -170 - -173. Suppose -18*n - 280*n**3 - 87*n**2 + 141*n**3 + 22*n**f - 9*n**5 - 57*n**4 + 0*n**5 = 0. Calculate n.
-3, -2, -1, -1/3, 0
Solve -3 + 18 + 17 + 20*p + 2*p**2 = 0 for p.
-8, -2
Let j = -29 - -31. Factor 3*r - 2*r - 6 + r**j + 6.
r*(r + 1)
Factor -315*t**2 - 3/8 + 171/8*t + 294*t**3.
3*(t - 1)*(28*t - 1)**2/8
Suppose 153/4*a**2 + a**4 + 53/4*a**3 - 161/4*a - 49/4 = 0. Calculate a.
-7, -1/4, 1
Let h(v) be the third derivative of v**4/6 - 2*v**3 - 8*v**2. Let g be h(8). Factor 2*o**3 + 9*o**4 + g*o**4 + 4*o**3 + 27*o**5 + 4*o**4.
3*o**3*(o + 1)*(9*o + 2)
Find d such that 3/8*d**2 - 15/4*d + 27/8 = 0.
1, 9
Let s be ((-24)/(-33))/2*(-209)/(-38). Let -2/3*q**3 + 0 - 2*q**s + 0*q = 0. What is q?
-3, 0
Suppose 0 = 6*j - 10*j - 16. Let d = j + 11. Factor 1 + 2 + d*q + 0*q + 2*q**3 - 5 - 7*q**2.
(q - 2)*(q - 1)*(2*q - 1)
Determine i, given that -7/2 - 3*i + 1/2*i**2 = 0.
-1, 7
Let p(n) = 3*n**4 - 14*n**3 + 9*n**2 - 4*n + 3. Let r(h) = 6*h**4 - 27*h**3 + 19*h**2 - 8*h + 5. Let x(s) = -5*p(s) + 3*r(s). Factor x(q).
q*(q - 2)*(q - 1)*(3*q - 2)
Let t = -40 + 41. Factor 0 - 20*v**4 + t - 7*v + 15*v**2 + 35*v**4 - 11*v**4 - 13*v**3.
(v - 1)**3*(4*v - 1)
Let f(n) be the first derivative of -n**4/2 + 2*n**3/3 + 2*n**2 - 87. Determine o so that f(o) = 0.
-1, 0, 2
Let z(k) = k**3 + 19*k**2 + 57*k - 45. Let j be z(-15). Suppose -55/2*t - 30*t**2 + j - 5/2*t**3 = 0. Calculate t.
-11, -1, 0
Let m(s) = -13*s**2 + 571*s + 50. Let i be m(44). Factor -18 - 1/2*a**2 + i*a.
-(a - 6)**2/2
Let r(o) be the third derivative of -1/2016*o**8 + 1/144*o**6 + 1/9*o**3 + 0*o - 1/36*o**4 + 0 + 42*o**2 + 1/1260*o**7 - 1/72*o**5. Solve r(n) = 0.
-2, -1, 1, 2
Suppose 2*l = -l + t + 2, -4*l - 2*t = 14. Let y be 4/((l/1)/(-1)). Find v such that 10*v**3 + v**5 + 5*v + 1 + 8*v**4 + 0*v**3 - 3*v**y + 10*v**2 = 0.
-1
Let d(p) be the first derivative of -8 + 6*p**2 - 7*p + 19*p - 2*p**3 + 3*p**3. Determine c, given that d(c) = 0.
-2
Let s(h) be the second derivative of -h**6/90 - 11*h**5/30 + 23*h**4/36 + 44*h. Factor s(k).
-k**2*(k - 1)*(k + 23)/3
Let w = -13383 + 13385. Solve -1/6*n**4 + 0 + 0*n + 0*n**3 + 1/6*n**w = 0 for n.
-1, 0, 1
Let z(t) be the third derivative of 7*t**2 + 0*t + 0 + 0*t**3 - 5/12*t**4 - 1/30*t**5. Factor z(k).
-2*k*(k + 5)
Let r(n) = -2*n**3 - 3*n + 1. Let u be r(2). Let v = u - -26. Determine o, given that -2*o - o + 3*o**2 + o + v*o = 0.
-1, 0
Let h