3 - 19*q + 3*q - 4*q - 3*q**3.
5*(q - 2)*(q + 2)**2
Let m(n) be the third derivative of -n**7/1575 + 3*n**6/50 + 146*n**5/225 + 31*n**4/30 - 59*n**3/5 + 34*n**2 - 3*n - 6. Find l such that m(l) = 0.
-3, 1, 59
Let g = 5396/3 + -1798. Let h(r) be the first derivative of 10*r**2 + g*r**3 + 18*r + 31. Let h(w) = 0. What is w?
-9, -1
Let k = -7/15976 + 702993/111832. Factor k*s - 242/7 - 2/7*s**2.
-2*(s - 11)**2/7
What is g in -56 - 131 + 47 + 16*g**2 + 11*g**2 - 72*g - 28*g**2 = 0?
-70, -2
Let y = -144 - -184. Let -25*r**3 + 5*r**4 + 43*r**3 - 20*r + y*r**2 - 43*r**3 = 0. What is r?
0, 1, 2
Let y(t) be the third derivative of -t**6/120 + 89*t**5/150 - 191*t**4/15 - 64*t**3/3 + 44*t**2 + 29*t. Suppose y(r) = 0. Calculate r.
-2/5, 16, 20
Let i(w) be the second derivative of -8/45*w**4 - 9 + 0*w**2 - 7/150*w**5 - 1/225*w**6 - 4/15*w**3 - 2*w. Determine j so that i(j) = 0.
-3, -2, 0
Let r be (42/8 - (-1)/(-4))*28/(-350)*-10. Factor -4/5*w**2 - 16/5 + r*w.
-4*(w - 4)*(w - 1)/5
Let l = -267 + 342. Suppose -168*h**2 + l*h**2 + 54*h**2 - 33*h + 33*h**3 + 3*h**4 + 36 = 0. Calculate h.
-12, -1, 1
Suppose 0 = 17*s - 76*s - 7*s. Let f(d) be the third derivative of 0*d - 1/90*d**5 + 7*d**2 + s + 0*d**3 + 1/18*d**4. Suppose f(x) = 0. Calculate x.
0, 2
Let i(f) = -74*f + 447. Let m be i(6). Let -16*o + 0 - 16/3*o**2 - 4/3*o**4 + 28/3*o**m = 0. Calculate o.
-1, 0, 2, 6
Let p(w) be the first derivative of -3*w**4/4 - 53*w**3 - 225*w**2 - 651. Factor p(d).
-3*d*(d + 3)*(d + 50)
Let x(n) be the third derivative of n**5/15 + 98*n**4 - 1178*n**3/3 + 1332*n**2. Let x(d) = 0. Calculate d.
-589, 1
Let i(q) = q**2 + 6*q + 6. Suppose 0 = -41*s + 46*s + 30. Let l be i(s). Find a such that a**2 + 18 + 12*a - l*a**2 + 10*a**2 - 3*a**2 = 0.
-3
Let u(s) = 4*s**2 - 6*s - 3. Let q be u(-3). Let x = q + -24. Suppose 4*h**3 + 2*h**4 - 14*h**2 - 46*h + x*h + 27*h = 0. What is h?
-4, 0, 1
Let q(w) be the third derivative of w**7/350 + 59*w**6/200 + 419*w**5/50 - 51*w**4/2 - 180*w**3 - 1019*w**2. What is o in q(o) = 0?
-30, -1, 2
Let h(k) be the second derivative of k**7/168 + k**6/8 - 47*k**5/40 + 5*k**4/2 - 4*k + 136. What is x in h(x) = 0?
-20, 0, 2, 3
Let a be 2/(-9) - -4*(-238)/(-504). Let i(p) be the first derivative of 5/16*p**4 - 55/8*p**2 - 15/2*p - a*p**3 - 40. Determine s, given that i(s) = 0.
-1, 6
Let a(d) be the first derivative of 2*d**3/33 - 68*d**2/11 - 1183. Determine l so that a(l) = 0.
0, 68
Let t = 11879 + -130667/11. Let m = -313 - -3449/11. Solve -m*o**3 + 2/11*o**5 + 4/11*o - 2/11*o**2 + 0 + t*o**4 = 0.
-2, -1, 0, 1
Let o(t) be the first derivative of -3*t**4/8 + 4*t**3 - 3*t**2/4 - 63*t + 1342. Determine x, given that o(x) = 0.
-2, 3, 7
Let n(l) be the first derivative of -l**4/6 - 94*l**3/9 - 328*l**2/3 - 416*l - 8428. Solve n(c) = 0 for c.
-39, -4
Suppose -4*n + 14 = 2*l, 7*n = -2*l + 5*n + 14. Let q be (-1)/l*5*9/(-15). Determine b so that 0 - 6/7*b**3 + 0*b + 3/7*b**2 + q*b**4 = 0.
0, 1
Let h(b) = -15*b**2 + 202*b - 114. Let r = -619 + 625. Let a(x) = 90*x**2 - 1210*x + 685. Let l(o) = r*a(o) + 35*h(o). Suppose l(g) = 0. What is g?
2/3, 12
Suppose -167*f = -47*f + 4800. Let y be (f/12)/((-60)/36). Suppose 39/2*i**4 + 0 + 0*i + 33*i**3 + 12*i**y + 3*i**5 = 0. What is i?
-4, -2, -1/2, 0
Let g = -951 + 958. Suppose 0 = g*v - 124 + 110. Find o, given that -1/6*o**4 - 2/3*o + 0*o**v + 0 + 1/2*o**3 = 0.
-1, 0, 2
Let j be 18/(-3) + (22 - 12). Let o be 55/(-110) + 5/j. Factor 1/4*a**2 + 1/2*a**4 + o*a**3 + 0 + 0*a.
a**2*(a + 1)*(2*a + 1)/4
Let z(s) be the second derivative of 1/6*s**4 + 0 - 1/180*s**6 - 17*s + 0*s**2 - 5/2*s**3 + 1/60*s**5. Let r(o) be the second derivative of z(o). Factor r(m).
-2*(m - 2)*(m + 1)
Let c(k) = -7*k**4 + 16*k**3 + 21*k**2 - 180*k. Let x(i) = 114*i**4 - 255*i**3 - 336*i**2 + 2880*i. Let s(g) = 33*c(g) + 2*x(g). Let s(r) = 0. Calculate r.
-3, 0, 4, 5
Let a = 170 + -106. Let q = a + -59. Let 2*g**4 + 5*g**q - 2*g**4 - 25*g**3 - 5*g**4 - 15*g**2 = 0. Calculate g.
-1, 0, 3
Let x = -8/28177 - -28241/225416. Find f, given that -x*f**2 + 5/8 - 1/2*f = 0.
-5, 1
Let h(k) be the second derivative of -k**5/20 - 17*k**4/12 - 20*k**3/3 + 150*k**2 + 8*k - 39. Factor h(t).
-(t - 3)*(t + 10)**2
Let k(s) = s**3 + 24*s**2 + 40*s - 81. Let b be k(-22). Let i(u) be the first derivative of -1/2*u**2 - 3/2*u + 1/6*u**3 - b. Factor i(w).
(w - 3)*(w + 1)/2
Let l(f) = -2*f**2 + 13*f - 2. Let t be l(5). Determine x so that -9 - 15 + 5 + 148*x - t - 18*x**2 = 0.
2/9, 8
Find i such that 46 - 826/9*i + 410/9*i**2 + 2/9*i**3 = 0.
-207, 1
Factor -39 - 180 - 72*f - 3*f**2 - 194 + 869 + 987.
-3*(f - 13)*(f + 37)
Let w be (3 + (1 - 1))/(12/8). Factor -19*i + 24*i + 12*i**w + i**3 + 2 - 8*i**2.
(i + 1)**2*(i + 2)
Let q(b) be the first derivative of -b**6/105 - 3*b**5/35 - 5*b**4/42 - 51*b - 24. Let l(n) be the first derivative of q(n). Factor l(y).
-2*y**2*(y + 1)*(y + 5)/7
What is k in -5/3*k**2 - 640/3*k - 635/3 = 0?
-127, -1
Let y(h) be the second derivative of -5*h**6/24 - 77*h**5/16 - 175*h**4/8 - 15*h**3 + 4967*h. Find f such that y(f) = 0.
-12, -3, -2/5, 0
Let d be 76/190*400/40. Solve 4/13*v**2 + 8/13*v + 2/13*v**d - 8/13*v**3 - 6/13 = 0 for v.
-1, 1, 3
Let z(k) be the second derivative of -11/42*k**4 + 2/35*k**5 - 46*k - 1/7*k**3 + 0 + 0*k**2. Solve z(w) = 0.
-1/4, 0, 3
Let q be 5 + 66*64/(-336) - -8. Factor 24/7 + 18/7*m + q*m**2.
3*(m + 2)*(m + 4)/7
Let t = 78375/28 + -19592/7. Factor 0 + 0*i + 1/2*i**2 + t*i**3.
i**2*(i + 2)/4
Suppose -34*n + 25011 + 3524 = 1063. Suppose 0 = -2*z - u + 20, 2*u + 2*u = 2*z - 20. Factor 5*w**3 - z + n*w - 823*w + 0*w**3.
5*(w - 2)*(w + 1)**2
Solve -6*p**2 + 970*p + 241842 - 6617 + 4*p**2 + 3*p**2 = 0.
-485
Factor -621/4*n + 45/4*n**3 - 529/2 + 1/4*n**4 + 481/4*n**2.
(n - 2)*(n + 1)*(n + 23)**2/4
Let w(j) be the third derivative of -j**7/1260 + j**6/30 + 137*j**5/360 + 19*j**4/12 + 29*j**3/9 - 5*j**2 - 6*j - 17. Find z such that w(z) = 0.
-2, -1, 29
Let l(d) = 11*d**4 - 6*d**3 - 27*d**2 - 46*d - 4. Let n(u) = 9*u**4 - 3*u**3 - 27*u**2 - 48*u - 3. Let w(s) = -3*l(s) + 4*n(s). Factor w(y).
3*y*(y - 3)*(y + 2)*(y + 3)
Let l(n) = -4*n + 60. Let g be l(15). Let b be 225/100 - (g/(-4) + 2). Determine s so that -1/4*s + 0 - 1/2*s**2 - b*s**3 = 0.
-1, 0
Let l(m) = -2*m + 24. Suppose -3*f - 6 = -30. Let x be l(f). Factor -7 - 8*j**2 - 2 - x*j - 7 + 7*j**2.
-(j + 4)**2
Suppose -47*t - 60 + 248 = 0. Let o(j) be the first derivative of -j**t - 10 - 42*j**2 - 32/3*j**3 - 72*j. Factor o(a).
-4*(a + 2)*(a + 3)**2
Let n = 3 - -2. Suppose 2*k = -n*d + 20, 14 = 4*k + 2*d - 5*d. Suppose -6*x**4 - 15*x**3 + x**2 + 5*x**k - 17*x**2 + 11*x**4 - 10*x - 9*x**2 = 0. What is x?
-1, 0, 2
Let z(q) be the third derivative of -q**8/420 + 17*q**7/1050 + 26*q**6/75 - 293*q**5/300 - 31*q**4/10 + 18*q**3/5 + 10*q**2 + 28. Solve z(w) = 0.
-6, -1, 1/4, 2, 9
Let g(f) be the first derivative of -5*f**4/48 + 5*f**3/2 - 45*f**2/2 - 85*f + 194. Let t(q) be the first derivative of g(q). Factor t(k).
-5*(k - 6)**2/4
Factor -5*b**3 + b**3 + 902595*b**2 - 901587*b**2 + 1000 - 2004*b.
-4*(b - 250)*(b - 1)**2
Let y(l) be the first derivative of 47/5*l - 1/15*l**3 + 23/5*l**2 + 184. Find d such that y(d) = 0.
-1, 47
Let c(f) = -22*f**2 + 766*f - 18. Let w(y) = 10*y**2 - 384*y + 8. Let v(j) = -4*c(j) - 9*w(j). Solve v(q) = 0 for q.
0, 196
Suppose -3*y + 970 = -y + k, 0 = 3*k - 12. Let n be 2/(-21) + 46/y. Factor 2*l + 1/2*l**5 + n - 2*l**2 + l**4 - 3/2*l**3.
l*(l - 1)**2*(l + 2)**2/2
Let q(k) be the first derivative of -18/7*k**2 - 40/7*k + 4/21*k**3 - 19. Factor q(y).
4*(y - 10)*(y + 1)/7
Let v be (62/(-28) - -2)*(21 + -19 - 10). Factor 0*j + v*j**2 - 12/7*j**3 + 3/7*j**4 + 0.
3*j**2*(j - 2)**2/7
Let z(f) = f**3 - 39*f**2 + 76*f - 74. Let c be z(37). Let q(k) be the second derivative of 0 + c*k**4 + 1/2*k**3 + 8*k - k**2 - 1/20*k**5. Factor q(j).
-(j - 1)**2*(j + 2)
Let u = -96438 + 482203/5. Factor u*i**2 + 1/5*i**3 - 49/5 + 7*i.
(i - 1)*(i + 7)**2/5
Suppose 2*s - 3 = 3. Let u(r) = -4*r**4 - 4*r**3 + 3*r. Let d(y) = -y + 7 + 1 - 8 + 4*y**4 - 3*y**4. Let t(n) = s*d(n) + u(n). Find g such that t(g) = 0.
-4, 0
Let m(s) be the first derivative of 0*s**3 - 27/10*s**2 - 54/5*s + 1/20*s**4 - 173. Factor m(c).
(c - 6)*(c + 3)**2/5
Suppose -4956 + 721*z**2 + 4944 + 740*z**2 - 