33*q**3 + 8*q**4 + 1216 - 1704*q**2 + 363*q = 0.
-19, -2/5, 2, 8
Let j(t) be the third derivative of t**7/5040 + 7*t**6/1440 + 11*t**4/12 - 2*t**2 - 6. Let b(l) be the second derivative of j(l). Suppose b(a) = 0. Calculate a.
-7, 0
Let i(k) = k**2 + 3*k - 102. Let s be i(-11). Let n(u) = 59*u**2 + 188*u - 24. Let l(r) = 19*r**2 + 62*r - 8. Let m(b) = s*l(b) + 4*n(b). Factor m(o).
-2*(o + 4)*(15*o - 2)
Let s be 490/(-1960) - (2 - (-45)/(-12)). Let k(p) be the first derivative of 6*p**2 - s*p**4 + p**3 + 28 - 9*p. Determine h, given that k(h) = 0.
-3/2, 1
Let h(v) = -v**2 - 2*v + 2. Suppose 2*b + 0*b + 4 = 0. Let u be h(b). Solve -5*q - 2*q**2 + 6 - q**u + 0*q**2 + 2*q = 0 for q.
-2, 1
Let m = 45052/2607 + 1204/869. Suppose -446/3*a**2 + 100*a - m + 25/3*a**4 + 35*a**3 = 0. What is a?
-7, 2/5, 2
Let m(a) be the third derivative of a**6/200 - 3*a**5/50 - 7*a**4/40 + 995*a**2. Solve m(j) = 0.
-1, 0, 7
Let z = -5 - -10. Solve -15 + 9*j**3 - z*j**3 + 15 - 8*j - 4*j**2 = 0 for j.
-1, 0, 2
Let b(r) be the first derivative of r**4 + 512*r**3/3 + 254*r**2 - 6042. Factor b(d).
4*d*(d + 1)*(d + 127)
Let x(l) be the third derivative of 21*l**2 + 1/840*l**8 - 7/150*l**5 + 1/75*l**7 + 0*l + 0*l**3 - 1/300*l**6 + 2 + 0*l**4. Let x(p) = 0. What is p?
-7, -1, 0, 1
Let -441/2*z**2 - 8424*z - 3/2*z**3 - 23328 = 0. Calculate z.
-72, -3
Suppose -693 + 1395 - 702 + 3*h**2 + 42*h = 0. Calculate h.
-14, 0
Let c(m) = -46*m**3 - 4571*m**2 + 10705*m - 2683. Let j(l) = 24*l**3 + 2286*l**2 - 5354*l + 1342. Let r(w) = -2*c(w) - 5*j(w). Solve r(t) = 0 for t.
-84, 2/7, 2
Let s(k) be the third derivative of k**5/60 - 67*k**4/4 + 401*k**3/6 + 3*k**2 - 69. Find j, given that s(j) = 0.
1, 401
Let q(v) be the second derivative of -4/11*v**2 + 5/66*v**4 - 1/165*v**6 + 0*v**3 + 0*v**5 + 22*v + 1. Determine t, given that q(t) = 0.
-2, -1, 1, 2
Let o = -14165/28 + 155983/308. Determine p, given that -2/11*p**3 + 10/11*p**2 - o*p - 18/11 = 0.
-1, 3
Let v = 250 - 45. Factor -419*g + 6*g**2 - 10 + 209*g + v*g + 4*g**2 + 5*g**3.
5*(g - 1)*(g + 1)*(g + 2)
Let h(v) be the second derivative of 5*v**4/12 - 840*v**3 + 635040*v**2 - 3990*v + 2. Factor h(w).
5*(w - 504)**2
Factor 1 - 16*n - 1236185*n**2 + 4*n**3 + 4 + 1236168*n**2.
(n - 5)*(n + 1)*(4*n - 1)
Let g = 25/21898 + 10899/43796. Factor 90*q - 108 + 93/4*q**2 - 11/2*q**3 + g*q**4.
(q - 12)**2*(q - 1)*(q + 3)/4
Let q(y) = 155*y**2 - 22735*y + 857324. Let v(d) = -232*d**2 + 34097*d - 1285984. Let c(k) = 7*q(k) + 5*v(k). Find i such that c(i) = 0.
378/5
Let -800/13 + 2/13*y**5 - 64*y + 200/13*y**3 - 32/13*y**2 + 58/13*y**4 = 0. What is y?
-25, -2, 2
Let z(y) be the first derivative of y**3/18 + 5*y**2/4 + 13*y/3 + 1444. Factor z(w).
(w + 2)*(w + 13)/6
Let b = -21/59 - -29483/118. Let h = 2543/10 - b. Factor -48/5 - 3/5*v**2 + h*v.
-3*(v - 4)**2/5
Let k(g) be the first derivative of -g**4/32 - 67*g**3/8 - 399*g**2/16 - 199*g/8 - 1657. Find c, given that k(c) = 0.
-199, -1
Let g be ((-8)/(-4) - 1)/(10/30) + -1. Let n(k) be the first derivative of 0*k**g + 3/2*k - 1/2*k**3 - 10. Suppose n(v) = 0. What is v?
-1, 1
Let s(p) be the second derivative of -p**9/756 + p**7/210 - 5*p**3/6 - 13*p**2/2 + 5*p + 7. Let q(t) be the second derivative of s(t). Factor q(n).
-4*n**3*(n - 1)*(n + 1)
Let g(c) = -c**3 - 147*c**2 - 275*c + 407. Let l(r) = r**3 + 442*r**2 + 835*r - 1222. Let h(b) = -7*g(b) - 2*l(b). What is x in h(x) = 0?
-27, -3, 1
Let v(w) = -13*w - 158. Let r be v(-13). Let -28*p + 26*p**2 + 68 + 100*p - r*p**2 - 11*p**2 = 0. Calculate p.
-17, -1
Let t be (4*4/10)/(10/25). Let w be (-4)/6 - t*77/(-84). Factor -1/7*i**4 - 1/7 + 2/7*i**2 + 0*i + 0*i**w.
-(i - 1)**2*(i + 1)**2/7
Let z(o) be the third derivative of -o**7/840 + 13*o**6/160 - 67*o**5/60 - 187*o**4/8 - 242*o**3/3 - 3*o**2 + 100*o. Let z(j) = 0. Calculate j.
-4, -1, 22
Let d(v) = v**3 - 6*v**2 - 21*v + 100. Let c be d(7). Let i be (c - -1) + 4 + -7 + 4. Factor -1/4*z**i - 3*z - 13/4*z**2 - 1 - 3/2*z**3.
-(z + 1)**2*(z + 2)**2/4
Factor -282/11*g + 2/11*g**2 + 1620/11.
2*(g - 135)*(g - 6)/11
Let j be (4 - 3)*(1 - -2 - 0). Factor -8*y**2 - 2*y**3 - 206 + 0*y**j - 2*y**2 - 14*y + 200.
-2*(y + 1)**2*(y + 3)
Let g be (-1)/(-6) + (-7)/(-14)*46/(-138). Determine d, given that 1/10*d**3 - 2/5*d**2 + g*d + 0 = 0.
0, 4
Let g(w) be the first derivative of w**3/3 + 629*w**2/2 - 1262*w - 1911. Factor g(s).
(s - 2)*(s + 631)
Factor -118*h**2 + 186*h**3 + 2*h**4 + 297*h**3 + 636*h - 587*h**3.
2*h*(h - 53)*(h - 2)*(h + 3)
Factor 3150*o + 530*o**2 + 0 + 158/7*o**3 + 2/7*o**4.
2*o*(o + 9)*(o + 35)**2/7
Let j = -448442 - -4035983/9. Factor j - 13/9*v**2 + 8/9*v.
-(v - 1)*(13*v + 5)/9
Let u be (-8)/52 - (-905)/390 - (-6)/(-4). Let f = 44/21 - 16/21. Factor -f*n - u*n**2 + 0.
-2*n*(n + 2)/3
Let a(w) be the first derivative of w**4/4 + 17*w**3/2 - 45*w + 25. Let x(u) be the first derivative of a(u). Find b such that x(b) = 0.
-17, 0
Let x(c) be the second derivative of 0 - 3*c**2 - 1/6*c**4 - 25*c - 4/3*c**3. Find k such that x(k) = 0.
-3, -1
Let i(g) = -858*g - 5140. Let f be i(-6). Let v(k) be the first derivative of 22 - 4*k**2 + f*k + 2/3*k**3. Factor v(u).
2*(u - 2)**2
Factor 2/11*d**2 - 394/11*d - 36.
2*(d - 198)*(d + 1)/11
Let t(k) be the second derivative of 2*k**7/21 - 1528*k**6/15 + 38862*k**5 - 5462100*k**4 - 11054250*k**3 - 18*k - 115. Solve t(w) = 0.
-1, 0, 255
Find s, given that 50328*s**2 - 13591*s - 1458*s**4 + 2375*s - 130*s**3 - 36541*s**3 - 38173*s**3 + 832 = 0.
-52, 2/9
Let j = 10071 - 10069. Let h(w) be the third derivative of 0*w**3 + 0*w + 0 + 1/40*w**4 - 16*w**j - 1/300*w**5. Solve h(v) = 0 for v.
0, 3
Let y(m) = -38*m**3 + 991*m**2 - 77*m - 14. Let o be y(26). Factor -75/2 - 3/2*f**4 - 9*f**2 - o*f**3 + 60*f.
-3*(f - 1)**2*(f + 5)**2/2
Let z(r) = -r**5 - 35*r**4 + 139*r**3 - 241*r**2 + 164*r. Let j(i) = 3*i**5 + 36*i**4 - 141*i**3 + 240*i**2 - 165*i. Let f(q) = -2*j(q) - 3*z(q). Factor f(x).
-3*x*(x - 3)**3*(x - 2)
Suppose 5*y**5 + 5007*y**3 + 3562*y**3 - 88*y**4 - 36000*y**2 - 202*y**4 - 2969*y**3 = 0. Calculate y.
0, 18, 20
Let c(u) = 35*u**3 - 120*u**2 - 525*u + 610. Let w(x) = -5*x**3 + 17*x**2 + 75*x - 87. Suppose -32*q + 7 = 103. Let k(h) = q*c(h) - 20*w(h). Factor k(a).
-5*(a - 6)*(a - 1)*(a + 3)
Let -38/11 - 12/11*z**2 - 82/11*z = 0. What is z?
-19/3, -1/2
Suppose 430 = 173*c + 84. Let a(r) be the second derivative of -1/9*r**4 + 16*r - 20/9*r**3 - 50/3*r**c + 0. Suppose a(q) = 0. What is q?
-5
Let f be (-3074)/754 + 6 + 0. Let l = f + 29/39. Solve 70/3*r**3 + 40/3*r**2 + 50/3*r**4 + 4*r**5 + l*r + 0 = 0.
-2, -1, -2/3, -1/2, 0
Suppose -6*f - 9 = -39. Let l(y) = 12*y**2 + 56*y + 200. Let r(d) = 14*d**2 + 56*d + 201. Let v(k) = f*l(k) - 4*r(k). Let v(j) = 0. Calculate j.
-7
Factor 2359/2*g - 2*g**2 + 295.
-(g - 590)*(4*g + 1)/2
Factor -251/9*i + 164 - 7/9*i**2.
-(i + 41)*(7*i - 36)/9
Suppose -18*g = 1 - 91. Let 777*i**3 + 0*i**4 - 772*i**3 - 20*i**2 + g*i**4 - 20*i = 0. What is i?
-2, -1, 0, 2
Let c(w) be the first derivative of -3*w**4/16 + 159*w**3 - 50562*w**2 + 7146096*w + 735. Factor c(x).
-3*(x - 212)**3/4
Let s(m) be the third derivative of -2*m**7/245 - 19*m**6/42 - 61*m**5/105 + 31*m**4/42 + 1060*m**2 - 3. Let s(l) = 0. Calculate l.
-31, -1, 0, 1/3
Factor 83*v - 74*v + 4*v**3 - 3*v**3 + 506 - 6*v**2 - 510.
(v - 4)*(v - 1)**2
Let w(d) be the second derivative of d**7/126 - 23*d**6/90 + 21*d**5/20 - 61*d**4/36 + 10*d**3/9 - 93*d. Factor w(i).
i*(i - 20)*(i - 1)**3/3
Let h(m) be the first derivative of 28*m + 17 + 0*m**3 + 1/90*m**4 - 1/15*m**2. Let c(z) be the first derivative of h(z). Factor c(a).
2*(a - 1)*(a + 1)/15
Let f be (-49)/(-10) - (0 + -22)/220. Let n(p) be the second derivative of -4*p**4 - 16/3*p**3 - 33*p + 0 + 0*p**2 - 6/5*p**f - 2/15*p**6. Solve n(g) = 0.
-2, 0
Let z(d) = d**5 - d**4 + d**3 - d. Let x(v) = 2*v**5 + 38*v**4 + 82*v**3 + 85*v**2 + 33*v. Suppose 17 = -18*k - 37. Let m(o) = k*z(o) - x(o). Solve m(y) = 0.
-3, -2, -1, 0
Suppose -38 = -5*d - 4*b, 19847*b - 19849*b + 6 = -4*d. Solve -68/7*s - 4/7*s**3 - 40/7 - 32/7*s**d = 0 for s.
-5, -2, -1
Let v be (-56)/672*-24 + (-6)/4. Factor v*j**3 + 7 - 3*j**2 - 9/2*j.
(j - 7)*(j - 1)*(j + 2)/2
Let m(k) = 36*k**2 + 1647*k + 1095. Let j(c) = -27*c**2 - 1646*c - 1094. Let v(y) = 3*j(y) + 2*m(y). Determin