/3 - 32640*v**2 + 230400*v + 618. Suppose q(u) = 0. What is u?
-40, 6
Factor 154*x + 90*x**2 - 640 - 40*x**2 - 45*x**2 + 481*x.
5*(x - 1)*(x + 128)
Suppose -2/23*w**2 - 104/23*w - 294/23 = 0. What is w?
-49, -3
Let j = 33322 + -33318. Let x(m) be the third derivative of 0 + 7*m**2 - 9/5*m**3 - 1/450*m**5 + 0*m + 1/10*m**j. Find a, given that x(a) = 0.
9
Let r(d) be the third derivative of -5*d**2 + 3/32*d**4 - 9/4*d**3 + 0*d + 0 + 1/20*d**5 - 1/160*d**6. Factor r(b).
-3*(b - 3)**2*(b + 2)/4
Let q(r) = 2*r**2 + r + 4. Let i be (-600)/(-140) + (-2)/7. Let v(j) = -5 - 3*j**2 - j + i*j**2 + 1 + 3. Let d(s) = -q(s) + 5*v(s). Factor d(t).
3*(t - 3)*(t + 1)
Let h(y) = y**3 - 4*y**2 - y + 6. Let w be h(4). Factor -4*u**3 - 5*u**4 - 3*u**w - 3*u**2 - u**2 - 6*u + 22*u**3.
-u*(u - 3)*(u - 1)*(5*u + 2)
Let n(m) = -8*m + 43. Let t(s) = 9*s - 43. Let g(d) = -3*n(d) - 2*t(d). Let i be g(12). Determine k so that -34*k**2 + i*k**2 - 2 - 25*k**3 - 20*k**4 + 2 = 0.
-1, -1/4, 0
Let b(a) = -13*a**2 - 11*a + 50. Let t = 259 - 253. Let i(w) = -11*w**2 - 12*w + 48. Let j(u) = t*i(u) - 5*b(u). Factor j(d).
-(d - 2)*(d + 19)
Let u be (-4 - (1 - 3)) + (-4)/(-1). Let p = 4 - u. Determine x, given that 11*x + 2*x + 4*x - p*x**2 - x - 32 = 0.
4
Let o(d) be the second derivative of -1/42*d**4 + 0*d**2 + 0 + 2/21*d**3 + 33*d. Suppose o(c) = 0. What is c?
0, 2
Let k be (-54)/3*808/(-2020). Factor -4*o**4 - 28/5*o**2 + 8/5*o + 4/5*o**5 + k*o**3 + 0.
4*o*(o - 2)*(o - 1)**3/5
Suppose 602*u = 29*u - 1131*u + 5112. Factor -10 - 4*g**2 + 109/3*g - 7/3*g**u.
-(g - 3)*(g + 5)*(7*g - 2)/3
Let g(d) be the first derivative of -d**4/2 - 140*d**3/3 + 223*d**2 + 584*d - 2172. Find q such that g(q) = 0.
-73, -1, 4
Suppose -4*z + 6 = -0*v - 5*v, 0 = -2*z - 5*v - 12. Let o be 1*(z - (0/4 - 4)). Suppose 3*x - 7*x - 12*x**o + 2*x**5 - 2*x - 16*x**2 = 0. What is x?
-1, 0, 3
Find s, given that 12 - 17 - 3 + 60*s + 24 - 7*s**2 + 33*s**2 = 0.
-2, -4/13
Let r(n) = 4*n - 10. Let p be r(6). Suppose -8 = -4*y - f + 7, -9 = -2*y + f. Find l such that 19 + 7*l**3 - p*l**3 + y*l**3 - 9*l**2 - 7 = 0.
-2, 1
Let m(q) = -4*q**2 + 3144*q + 1254486. Let w(g) = g**2 + 4*g + 7. Let j(o) = -2*m(o) - 12*w(o). Suppose j(r) = 0. What is r?
-792
Find p, given that p**3 + p + 0*p**3 - 2*p**3 - 18 + 26*p**2 - 34 + 26 = 0.
-1, 1, 26
Let l(o) be the first derivative of -o**7/4200 - o**6/1800 + o**5/100 - 2*o**3/3 - 91*o**2 + 101. Let v(z) be the third derivative of l(z). Factor v(p).
-p*(p - 2)*(p + 3)/5
Let 5/3*u**2 + 0 - 380/3*u = 0. Calculate u.
0, 76
Let r(p) = 10*p**3 - 4444*p**2 - 816958*p. Let d(z) = -6*z**3 + 2962*z**2 + 544639*z. Let w(f) = -8*d(f) - 5*r(f). Find o such that w(o) = 0.
-369, 0
Let r(x) be the third derivative of x**8/336 - x**7/30 - 23*x**6/20 - 128*x**5/15 - 68*x**4/3 + 97*x**2. Solve r(y) = 0 for y.
-4, -2, 0, 17
Let l(n) be the first derivative of 4/3*n - 17/6*n**4 - 6 + 2/3*n**5 + 14/3*n**3 - 11/3*n**2. Factor l(z).
2*(z - 1)**3*(5*z - 2)/3
Suppose 2*y - 18 = 4*a, -503*y + 497*y = 2*a - 82. Determine q so that -74/11*q - 2/11*q**a + 76/11 = 0.
-38, 1
Suppose 393 = 4*o + 381. Factor -72*f + 72*f - 3*f**o + 18*f**3 - 6*f**2.
3*f**2*(5*f - 2)
Suppose 0 + 1/3*b**5 - 4/3*b**2 - 3*b**3 + 4*b + 0*b**4 = 0. Calculate b.
-2, 0, 1, 3
Let i(f) = f**3 - 36*f**2 - 258*f + 9290. Let k be i(36). Solve 578 - 34*m + 1/2*m**k = 0 for m.
34
Let m(r) be the third derivative of 7*r**7/15 + 161*r**6/60 - 3*r**5 - 27*r**4 + 72*r**3 - 2443*r**2 + 1. Factor m(z).
2*(z + 2)*(z + 3)*(7*z - 6)**2
Let q be ((-1)/4)/(29/580). Let r be -2 + q/((-5)/22). Factor -r*b - 25/3 - 4*b**3 - 1/3*b**4 - 46/3*b**2.
-(b + 1)**2*(b + 5)**2/3
Let b(q) = 6*q**3 + 65*q**2 + 1205*q + 7995. Let s(w) = -w**3 - w**2 - w + 1. Let x = -120 + 123. Let j(g) = x*b(g) + 15*s(g). Factor j(r).
3*(r + 20)**3
Let x(i) be the second derivative of 33/5*i**5 - 56 + 48*i**4 + 128/3*i**3 + 4/15*i**6 + 0*i**2 - 2*i. Factor x(n).
4*n*(n + 8)**2*(2*n + 1)
Suppose -8*x + 3075 = -453. Factor -74*r + x + 233*r - 117*r + r**2.
(r + 21)**2
Suppose -4*s = -4 - 24. Suppose -j = -s + 3. Factor -9*m**3 + 2*m**j - 5*m**4 + 1738*m**2 - 1744*m**2.
-3*m**2*(m + 1)*(m + 2)
Let o(n) = -156*n**2 - 3746*n - 44. Let k be o(-24). Let -3/4*a**3 + a - 4*a**2 + a**5 + 0 + 11/4*a**k = 0. What is a?
-2, 0, 1/4, 1
Factor -196 - 30*u**2 - 80*u**2 - 44*u**3 - 49*u - 334*u + u**4 - 127*u**2 - 5*u.
(u - 49)*(u + 1)*(u + 2)**2
Let r(i) = 5*i**2 + 21*i + 9. Let w be r(-4). Solve -34*s + w*s**2 - 21*s**2 + 3*s**2 - s**2 + 24 = 0.
-3, 4/7
Let v(t) = t**2 + 28*t + 146. Let w be v(-6). Let b be 0/((-4)/4)*(-7)/w. What is y in 4/3*y**3 + 0*y + 0 + b*y**2 + 2/3*y**4 = 0?
-2, 0
Let d(z) = -z**2 + 48. Let l be d(-12). Let f be (-7 - (-17 + 6))*(-9)/l. Factor 3*g**3 + 0 + 0*g - 15/8*g**4 - 3/2*g**2 + f*g**5.
3*g**2*(g - 2)**2*(g - 1)/8
Let v(b) be the third derivative of b**5/240 + 1043*b**4/96 - 87*b**3/2 - 13*b**2 + 3*b - 1. Let v(s) = 0. What is s?
-1044, 1
Let m(v) be the first derivative of -1225*v**6/6 - 371*v**5 - 120*v**4 + 60*v**3 + 847. Let m(q) = 0. Calculate q.
-6/7, 0, 1/5
Let i(f) = -f**3 + 29*f**2 - 29*f + 32. Let v be i(28). Let u = 9 + -4. Factor 12*o**v + 16*o - 16*o**2 + 4*o**2 + 9*o**3 + 3*o**u - 28*o.
3*o*(o - 1)*(o + 1)*(o + 2)**2
Let v(m) = -4*m - 3. Let z be v(4). Let b = -13 - z. Solve -18 - 5*a + 27 - b*a + 3*a**2 - a = 0 for a.
1, 3
Let d(j) be the second derivative of -j**7/6300 + j**6/360 + 7*j**4/12 + j**3/2 + 54*j. Let k(f) be the third derivative of d(f). Factor k(v).
-2*v*(v - 5)/5
Suppose -936*c - 288*c + 2329 = 779*c - 3680. Determine w, given that -24 - 26/3*w**2 - 2/3*w**c - 80/3*w = 0.
-9, -2
Let l(q) = 2*q**2 + 2*q - 6. Let d(m) = 3*m**2 + 3*m - 7. Let b(w) = 3*d(w) - 4*l(w). Let a(h) = -4*h**2 + 22*h + 17. Let c(s) = a(s) + 3*b(s). Factor c(y).
-(y - 26)*(y + 1)
Factor -48*r - 3/2*r**2 - 378.
-3*(r + 14)*(r + 18)/2
Let t(r) be the third derivative of -r**8/5040 + r**7/315 + r**5/15 - r**3/3 + 2*r**2 - 4. Let u(m) be the third derivative of t(m). Factor u(z).
-4*z*(z - 4)
Let z(w) = 7*w + 66. Let m be z(-3). Let t be (-729)/(-2457) + (1 - m/39). Let 2/7 - 1/7*n**2 + t*n = 0. What is n?
-1, 2
Solve 800*p**3 + 47876*p - 12121 + 96597*p + 39613*p**2 + 91323 + 14727*p + 41183*p**2 + 2*p**4 = 0.
-199, -1
Let z(x) be the second derivative of x**4/4 - 7*x**3 + 39*x**2/2 + 700*x. Determine b, given that z(b) = 0.
1, 13
Let b(h) = 3*h**2 - 36*h - 66. Let n(i) = 133 + 71*i - i**2 + 24*i**2 - 28*i**2. Let o(y) = 11*b(y) + 6*n(y). Determine k so that o(k) = 0.
-6, -4
Factor 1323/8 + 1/8*q**3 - 39/8*q**2 + 315/8*q.
(q - 21)**2*(q + 3)/8
Let x = 2617/165 + -1027/66. What is y in 1/2*y**3 - 1/5*y**4 - x + 1/2*y**2 - 1/2*y = 0?
-1, -1/2, 1, 3
Factor -80/9 - 2/9*q**3 - 4/9*q + 14/9*q**2.
-2*(q - 5)*(q - 4)*(q + 2)/9
Let a(i) = 10*i**3 + 175*i**2 - 1030*i + 15. Let b(l) = -9*l**3 - 176*l**2 + 1029*l - 12. Let k(r) = -4*a(r) - 5*b(r). Let k(c) = 0. Calculate c.
-41, 0, 5
Suppose 90*r - 78*r - 240 = 0. Let w be (15/r)/1 - 7/(-14). Determine q, given that w*q**2 - 7/4*q + 3/4 - 1/4*q**3 = 0.
1, 3
Suppose -10*y = 2*y - 864. Let i = y + -68. Factor -14*f**2 - i + 10*f**2 + 8 - 10*f + 2*f**3 + 8.
2*(f - 3)*(f - 1)*(f + 2)
Suppose 0 = -456268*j + 456404*j. Factor 2/7*m**4 + 8/7*m**3 + 0 + j*m + 6/7*m**2.
2*m**2*(m + 1)*(m + 3)/7
Let f be 31*(-40)/1905 + 7 + -7. Let q = 2/127 - f. Factor -q*i**3 + 2*i**2 + 2/3 - 2*i.
-2*(i - 1)**3/3
Let r = -2071 + 1943. Let g = -128 - r. Factor 0*w + 2/3*w**4 + 4/3*w**2 - 2*w**3 + g.
2*w**2*(w - 2)*(w - 1)/3
Factor 1/4*p**2 - 401/2*p + 160801/4.
(p - 401)**2/4
Let p(a) be the first derivative of -a**5/60 - 2*a**4 - 96*a**3 + 127*a**2/2 - 140. Let q(b) be the second derivative of p(b). Factor q(y).
-(y + 24)**2
Let c(a) be the second derivative of a**5/12 - 55*a**4/4 + 1820*a**3/3 + 33800*a**2/3 - 3379*a. Determine d so that c(d) = 0.
-5, 52
Determine t, given that 401*t**2 - 601*t**2 + 6 - 1165*t**2 + 1359*t = 0.
-2/455, 1
Let d(r) be the second derivative of -1 + 1/90*r**4 + 3/5*r**3 - 6*r + 0*r**2. Determine v so that d(v) = 0.
-27, 0
Let f(r) be the third derivative of r**5/5 + 421*r**4/120 + 7*r**3/30 + 1163*r**2. Factor f(u).
(u + 7)*(60*u + 1)/5
Let c(f) = 20*f**2 + 98*f + 80. Let y be c(-1). Suppose 8/9 - 4/9*h**y + 4/9*h = 0. Calculate h.
