= 0. What is u?
-1
Let k = -2836 - -2836. Let v(p) be the first derivative of k*p + 6/5*p**2 + 3/25*p**5 + 3/4*p**4 - 2 + 8/5*p**3. Suppose v(q) = 0. Calculate q.
-2, -1, 0
Let g be 0/3 - (-6)/(-72)*1*-4. Solve 0 + 2*s**3 + 0*s - g*s**4 + 7/3*s**2 = 0.
-1, 0, 7
Let p(i) be the first derivative of 0*i - i**4 - 2*i**2 + 9 + 8/3*i**3. Factor p(a).
-4*a*(a - 1)**2
Suppose -10/3*z**2 + 10 + 95/3*z - 25*z**3 = 0. Calculate z.
-1, -1/3, 6/5
Let r(v) be the first derivative of -52 - 4/9*v + 1/2*v**2 + 1/36*v**4 - 2/9*v**3. Determine g, given that r(g) = 0.
1, 4
Let v = 12 + -9. Suppose v*m + 19 = 37. Factor m*w**3 + 23*w**2 - 4*w**2 - 11*w**2 - 4*w**3.
2*w**2*(w + 4)
Suppose c = -5*p - 1, -3*p = 2*c - 4 - 8. Find x such that 24 + 0*x + 18*x + c*x + 3*x**2 = 0.
-8, -1
Let g(b) = -1033*b**2 - 12*b - 11. Let w be g(-1). Let t = -1030 - w. Factor 2/3 + 2/3*u**t + 4/3*u.
2*(u + 1)**2/3
Factor -3/4*w**3 + 0 + 159/2*w**2 - 315/4*w.
-3*w*(w - 105)*(w - 1)/4
Let o(s) be the first derivative of 9*s**2 - 176 + 1/2*s**3 - 42*s. Factor o(d).
3*(d - 2)*(d + 14)/2
Let v(q) = 3*q**3 + 3*q - 2. Let g(r) = 2*r + 1 - 3*r + r**2 + r**3 - 2*r**3. Suppose 0*t - t = 9*t + 20. Let o(w) = t*g(w) - v(w). Factor o(m).
-m*(m + 1)**2
Let s = 497876 - 2489252/5. Factor 0 - 2/5*l**3 - 32/5*l**2 - s*l.
-2*l*(l + 8)**2/5
Let t(f) be the second derivative of f**6/75 - 41*f**5/25 + 219*f**4/10 + 5422*f. Factor t(s).
2*s**2*(s - 73)*(s - 9)/5
Let h(q) be the third derivative of q**7/42 - 17*q**6/24 - 185*q**5/12 + 695*q**4/8 - 180*q**3 + 2397*q**2 - 2*q + 2. Suppose h(m) = 0. Calculate m.
-9, 1, 24
Suppose 0 = h - 2*h + 2. Let i be 3*6*(19/3 + -6). What is o in i*o**2 - o - 6*o**h - o**2 + 2 = 0?
-2, 1
Let l be ((-328)/(-54) + (-60)/((-380)/(-38)))*27. Factor 4/3*i**4 + 0*i + 0*i**l - 4/9*i**5 + 16/9*i**3 + 0.
-4*i**3*(i - 4)*(i + 1)/9
Let j(c) = 153*c + 247 + 32*c + 38*c + 5042*c**2 - 5059*c**2. Let d(t) = 8*t**2 - 112*t - 123. Let u(a) = -7*d(a) - 3*j(a). Let u(w) = 0. Calculate w.
-1, 24
Let k(o) = 286 + 57 + 257 + 40*o. Let v be k(-15). Determine c so that 6/7*c + v*c**2 + 4/7 - 2/7*c**3 = 0.
-1, 2
Factor 15/4*d**2 + 17/4*d + 3/4*d**3 + 3/2 - 1/4*d**4.
-(d - 6)*(d + 1)**3/4
Let b(r) be the second derivative of 3*r**5/5 + 2*r**4/3 - 8*r**3/9 + 28*r**2 + 68*r. Let t(a) be the first derivative of b(a). Factor t(q).
4*(3*q + 2)*(9*q - 2)/3
Let t be (-10 + 7)*7/(-3) - (-517)/(-88). Factor 5/4 - 1/8*z**2 + t*z.
-(z - 10)*(z + 1)/8
Suppose -247 + 1129 = 294*c. Find k such that 4/5*k**4 - 8/5*k - 4/5*k**2 + 0 + 8/5*k**c = 0.
-2, -1, 0, 1
Let o = 154152 - 154149. Suppose 308/3*y - 98 - 20/3*y**o + 8/3*y**2 - 2/3*y**4 = 0. Calculate y.
-7, 1, 3
Let s(a) be the third derivative of -49*a**6/1140 - 2807*a**5/570 - 799*a**4/228 - a**3 + 3507*a**2. Determine i, given that s(i) = 0.
-57, -1/7
Let b(r) = 25*r**3 - 20*r**2 + 45*r - 30. Let a = -3 + 4. Let f(d) = -d**3 + d**2 - d + 1. Let c = -275 - -305. Let k(x) = a*b(x) + c*f(x). Factor k(z).
-5*z*(z - 3)*(z + 1)
Let q(b) be the second derivative of b**5/240 - 7*b**4/32 + 9*b**3/4 + 97*b**2/2 - 4*b - 17. Let s(y) be the first derivative of q(y). Factor s(k).
(k - 18)*(k - 3)/4
Let w(j) = j**4 + j**2 - 2*j - 1. Let y(m) = 2*m**4 + 30*m**3 + 95*m**2 + 98*m + 1. Let l(f) = -w(f) - y(f). Factor l(b).
-3*b*(b + 2)*(b + 4)**2
Let f = -120 - -40. Let g = 85 + f. Find t, given that -432*t + 2*t**3 - 11*t**3 + g*t**3 + 72*t**2 + 864 = 0.
6
Let v(x) = x + 27 + 14 - 14. Let d be v(-18). Factor 23*b**4 + 7*b**4 + 3*b**5 + 3*b**3 - 6*b - 21*b**4 - d*b**2.
3*b*(b - 1)*(b + 1)**2*(b + 2)
Find a such that -14*a**2 + 0*a - 22*a**2 - 4960*a**3 + 36*a**4 + 4957*a**3 + 15*a**5 - 12*a = 0.
-2, -1, -2/5, 0, 1
Let y(s) be the first derivative of -s**4/20 - 4*s**3/5 - 24*s**2/5 + 13*s + 27. Let q(z) be the first derivative of y(z). Find w such that q(w) = 0.
-4
Let c = 2706787/6315820 + -1/902260. Solve -15/7*s**4 + c*s**5 + 15/7*s**2 + 9/7*s**3 - 12/7*s + 0 = 0 for s.
-1, 0, 1, 4
Suppose -7*x + 213 = -4*x - 5*z, 5*z = 0. Factor -126*b**2 - 2*b + 150 + 123*b**2 + x*b.
-3*(b - 25)*(b + 2)
Suppose -2 = p + 3*z, 5*p = 3*z - 4*z + 4. Let s(t) = -t**3 + 2*t**2 - 6*t + 2. Let u(b) = b**3 - b**2 + b - 1. Let q(x) = p*s(x) + 2*u(x). Factor q(v).
v*(v - 2)*(v + 2)
Let k(w) be the first derivative of -w**5/570 - w**4/228 - 2*w**2 + 18*w + 70. Let h(z) be the second derivative of k(z). Let h(n) = 0. What is n?
-1, 0
Let j(r) be the first derivative of r**6/540 - r**5/90 - r**3/3 + r - 7. Let u(k) be the third derivative of j(k). Let u(v) = 0. What is v?
0, 2
Suppose 26*l - 30*l + 184 = 0. Suppose l*q - 44*q = 110. Factor -85*z**4 + q*z**4 + 40*z**4 - 3*z**5 - 3*z**5 - 4*z**3.
-2*z**3*(z - 1)*(3*z - 2)
Let k(w) be the third derivative of w**8/2688 + 149*w**7/840 + 9997*w**6/320 + 528661*w**5/240 + 962801*w**4/48 + 117649*w**3/2 + 2994*w**2. Factor k(q).
(q + 1)*(q + 3)*(q + 98)**3/8
Let 0 - 279/2*i**3 + 279/2*i - 1/2*i**2 + 1/2*i**4 = 0. What is i?
-1, 0, 1, 279
Factor -120*h**2 + 39 + 139 + 134 + 18 + 5*h**3 + 205*h.
5*(h - 22)*(h - 3)*(h + 1)
Let g(m) be the first derivative of -2*m**2 - 14*m + 16. Let y be g(-6). Factor -38*w**5 + 41*w**5 - 5*w - y*w**4 + 2 + w**2 + 10*w**3 - w**2.
(w - 1)**4*(3*w + 2)
Let k(q) be the third derivative of 0 - 7/15*q**5 + 38*q**2 - 4*q**3 + 0*q - 23/6*q**4. What is f in k(f) = 0?
-3, -2/7
Let x(g) be the first derivative of g**4/4 + 49*g**3/3 - 220*g**2 + 912*g + 413. Find u, given that x(u) = 0.
-57, 4
Let s = 410 + -216. Suppose -s*q + 188*q = 0. Factor q + g**3 + 2/7*g - 9/7*g**2.
g*(g - 1)*(7*g - 2)/7
Let q(h) be the third derivative of -1/15*h**5 + 0*h + 21*h**4 + 44 + 2*h**2 - 2646*h**3. Factor q(f).
-4*(f - 63)**2
Factor -2480624/3*i + 3149/3*i**2 + 2477476/3 - 1/3*i**3.
-(i - 1574)**2*(i - 1)/3
Let s(i) = 5*i + 32. Let y be s(-4). Let q be (y/(-18))/(39/18 + -3). Find f, given that 0*f - 16/5*f**2 + 0*f**3 + q*f**4 + 0 = 0.
-2, 0, 2
Let b be (2 - (-12 - 0)/3)/(140 + -90). Let w(a) be the second derivative of 0*a**2 + 3/20*a**4 + 0*a**3 - b*a**5 + 1/50*a**6 + 0 + 16*a. Factor w(x).
3*x**2*(x - 3)*(x - 1)/5
Let n(l) = -l**4 + 82*l**3 + 244*l**2 + 232*l + 77. Let t(h) = 4*h**4 - 246*h**3 - 734*h**2 - 693*h - 230. Let o(y) = 7*n(y) + 2*t(y). Solve o(b) = 0.
-79, -1
Let f = -1961 - -1970. Suppose 72*c = -f*c + 405. Solve -8/9 - 6*s**4 - 110/9*s**3 - 10/9*s**c - 16/3*s - 106/9*s**2 = 0 for s.
-2, -1, -2/5
Let u(i) be the third derivative of 0 - 1/78*i**4 + 1/390*i**5 + 0*i - 48*i**2 - 1/1365*i**7 + 0*i**3 + 1/390*i**6. Determine q so that u(q) = 0.
-1, 0, 1, 2
Let x(m) = -m**3 + m**2 + 4*m + 10. Let q be 1 + (156/(-364) - 17/(-7)). Let t be x(q). Solve -p**t + p**3 + 1/3*p**5 - 1/3*p**2 + 0 + 0*p = 0 for p.
0, 1
Let u = -3961 + 95065/24. Let s(a) be the second derivative of -14*a + 0*a**2 - 1/4*a**3 - u*a**4 + 0. Factor s(r).
-r*(r + 3)/2
Determine f, given that -29/2*f**3 - 159/4 - 68*f**2 - 187/2*f - 1/4*f**4 = 0.
-53, -3, -1
Factor -871790*i**2 + 9264*i - 22186*i**2 + 28756228*i**3 - 1 - 31.
4*(193*i - 2)**3
Let c(j) be the third derivative of -j**6/900 + 13*j**5/75 - 17*j**4/20 - 29*j**3/2 + 2*j**2 + 44. Let g(n) be the first derivative of c(n). Factor g(m).
-2*(m - 51)*(m - 1)/5
Let n = -2867/2 - -1434. Let t be (-20)/(-24)*6/10. What is o in -n*o**2 - t - 5/4*o = 0?
-2, -1/2
Let h(t) = 2*t**2 + 2*t - 2. Let s(g) = -7*g**2 - 49*g - 274. Let x(c) = 6*h(c) + 2*s(c). Suppose x(j) = 0. Calculate j.
-35, -8
Suppose q = 3*q - 7*q. Suppose q = 11*o - 6*o. Factor o*y + 2*y**2 - 2*y - 2*y**2 + 2*y**2.
2*y*(y - 1)
Let t(c) be the first derivative of c**6/3 - c**5/10 - 15*c**4/8 + 11*c**3/6 + 7*c**2/4 - 3*c - 1021. Factor t(g).
(g - 1)**3*(g + 2)*(4*g + 3)/2
Suppose 142197*a = 143342*a. Factor 3/5*w**4 - 6/5*w**2 - 3/5*w**3 + a*w + 0.
3*w**2*(w - 2)*(w + 1)/5
Let i(f) be the second derivative of f**4/15 - 871*f**3/5 + 1306*f**2/5 - 10671*f. Suppose i(z) = 0. What is z?
1/2, 1306
Suppose -265*i + 271*i - 5658 = 0. Let r = i - 941. Factor 0*l + 2/7*l**r + 0.
2*l**2/7
Let v(w) = 6*w**2 + 11*w - 71. Let u be v(8). Let y = -399 + u. Let -15/4 + 5*q**3 + 5/4*q**4 + 5/2*q**y - 5*q = 0. Calculate q.
-3, -1, 1
Factor -5*g**5 - 96*g**4 + 39*g**3 - 3600*g**2 - 890*g**3 - 239*g**3 - 49*g**4 - 230*g**3.
-5*g**2*(g + 5)*(g + 12)**2
Let x = 1100 - 1096. Let q be 