 w*p**4 + 1/5*p**2 = 0.
-1, -1/4, 0
Let a(o) be the second derivative of -o**7/126 - 13*o**6/60 + 21*o**5/40 - o**4/72 - 7*o**3/12 - 117*o. Determine i so that a(i) = 0.
-21, -1/2, 0, 1
Let v be (-5)/(-63)*(-11730)/(-425) + -2. Let o(j) be the first derivative of 2/35*j**5 + 3/14*j**4 + 0*j**2 + 0*j + 9 + v*j**3. Factor o(g).
2*g**2*(g + 1)*(g + 2)/7
Let x(p) be the first derivative of 19/4*p**2 - 11/6*p**3 - 9/2*p + 1/8*p**4 + 99. Let x(a) = 0. What is a?
1, 9
Let f(z) be the third derivative of z**6/300 + 19*z**5/50 + 78*z**4/5 + 676*z**3/3 + 9*z**2 + 2*z + 17. Find c such that f(c) = 0.
-26, -5
Let m be (-39)/((-663)/(-136))*(-2)/4. Let p(j) be the second derivative of 0*j**2 - 1/42*j**4 + 0 + 0*j**3 - m*j. Suppose p(b) = 0. What is b?
0
Let o(w) be the first derivative of 1/5*w**5 - 13/4*w**4 - 49 + 55/3*w**3 - 75/2*w**2 + 0*w. Factor o(v).
v*(v - 5)**2*(v - 3)
Determine w so that 1680 - 90*w**4 + 94*w**4 - 10*w**2 + 2512*w - 840*w**3 - 2*w**2 = 0.
-1, 2, 210
Let z(s) be the second derivative of s**4/96 + s**3/4 - 1053*s**2/16 + 575*s. Factor z(d).
(d - 27)*(d + 39)/8
Let w(v) = -v**2 + 67. Let q be w(-7). Suppose q*n + 8 = 22*n. What is i in 6/5*i**n + 0 - 2/5*i**3 + 0*i = 0?
0, 3
Let s = -1017 + 2132. Suppose -s + 1117 = k. Factor 0*y + 0*y**3 - 6/5*y**k + 3/5*y**4 + 3/5.
3*(y - 1)**2*(y + 1)**2/5
Let m(f) be the second derivative of -f**5/25 + 19*f**4/15 - 32*f**3/15 - 72*f**2/5 + 1786*f. Factor m(y).
-4*(y - 18)*(y - 2)*(y + 1)/5
Suppose -317 = 26*r - 1175. Let w be (-39 + r)*12/(-7). Factor 0 + w*f**2 + 2/7*f**4 + 0*f + 24/7*f**3.
2*f**2*(f + 6)**2/7
Let c(z) be the first derivative of 0*z - 4/11*z**3 + 0*z**2 + 12/55*z**5 - 1/11*z**6 - 64 + 3/22*z**4. Solve c(y) = 0.
-1, 0, 1, 2
Let f be ((-40)/(-35))/((-4)/(-14)). Suppose -x + 6 = -2*x + 3*u, f*x + 5*u = 10. Factor 1/4*y + x - 1/8*y**2.
-y*(y - 2)/8
Let i be (-1)/(13/(-10) - 231/(-154)) - -8. Suppose 0*n**2 + 1/4*n**4 + 0 + 1/4*n**i + 0*n = 0. Calculate n.
-1, 0
Let v(i) be the third derivative of -i**6/24 - 23*i**5/2 - 1020*i**4 - 23120*i**3/3 + i**2 - 208*i. Factor v(z).
-5*(z + 2)*(z + 68)**2
Let r(i) = i**3 + 18*i**2 + 28*i - 65. Let c be r(-16). Let z = c + 69/2. Determine j, given that z*j**3 + 9*j + 1 + 113/4*j**2 + 3*j**4 - 14*j**5 = 0.
-1/2, -2/7, 2
Let j = 10298374/15 + -2029283/3. Determine g, given that 4107/5*g + 111/5*g**2 + 1/5*g**3 + j = 0.
-37
Factor -80*n**3 - 4*n**4 + 102*n**2 - 31302*n + 70*n**2 + 31214*n.
-4*n*(n - 1)**2*(n + 22)
Suppose 2*k + 5*y = 98, -5*k = -16699*y + 16696*y + 34. Find b such that -4/5*b**2 + 3/5 + 1/5*b**k - 2/5*b**3 + 2/5*b = 0.
-1, 1, 3
Let x be ((-342)/15 - 6)/((-2)/(-50)). Let s = -718 - x. Suppose 20/7*r - 50/7 - 2/7*r**s = 0. What is r?
5
Let p(x) = 44*x - 80. Let m be p(2). Suppose -17 = -3*j + 4*n - 1, 5*j + 2*n = -m. Factor j*q + q**3 + 1/2*q**5 + 0 - 3/2*q**4 + 0*q**2.
q**3*(q - 2)*(q - 1)/2
Let g(d) be the second derivative of 121*d + 0 + 5/42*d**7 - 5*d**3 + 55/12*d**4 - 3/4*d**5 + 0*d**2 - 1/2*d**6. Find n, given that g(n) = 0.
-2, 0, 1, 3
Let x(s) = -1. Let r(k) = -2*k**2 - 2*k + 17. Let y = 113 - 123. Let u(i) = y*x(i) - 2*r(i). Factor u(f).
4*(f - 2)*(f + 3)
Find i such that -142*i**3 + 53865/2*i**2 + 6751269/4 + 1/4*i**4 - 1714608*i = 0.
1, 189
Determine q, given that -225*q**2 + 67*q + 33 - 15811*q**3 + 15812*q**3 + 260*q**2 = 0.
-33, -1
Let b = -279995/558 + 4519/9. Let m = b - -1/186. Find u such that -2/3 - 4/3*u**2 - 5/3*u - m*u**3 = 0.
-2, -1
Let -2517*f - 17633*f**2 - 63 - 5291*f**4 - 1225*f**5 - 46566*f**3 - 9841*f**2 + 2308*f**5 - 15172*f**4 = 0. Calculate f.
-1, -1/19, 21
Let 25*u - 1/3*u**3 + 74/3*u**2 + 0 = 0. Calculate u.
-1, 0, 75
Let i = -67705/333 + -5/333. Let n = -202 - i. Factor 0*z - 2/3*z**4 + n*z**2 + 0*z**3 - 2/3.
-2*(z - 1)**2*(z + 1)**2/3
Let h(r) be the second derivative of r**7/84 - 17*r**6/60 + 37*r**5/20 + 7*r**4/12 - 89*r**3/4 - 189*r**2/4 + 1954*r. What is q in h(q) = 0?
-1, 3, 7, 9
Let r be 3/3 + 5 - (17 - 356/16). Let 5/2*m + r*m**3 + 0 + 55/4*m**2 = 0. Calculate m.
-1, -2/9, 0
Suppose 10418*i**3 - 21*i**2 - 10406*i**3 - 23*i**2 + 12*i**4 - 4*i**5 + 24*i = 0. What is i?
-2, 0, 1, 3
Suppose 62/11*y**2 + 2/11*y**3 + 432/11 - 348/11*y = 0. Calculate y.
-36, 2, 3
Let v = 64 - 46. Suppose 3*z - 5*z - 2*i = 0, 5*z = 4*i + v. Solve 88*y**z - 14*y**3 - y**3 + 5*y**5 - 98*y**2 = 0 for y.
-1, 0, 2
Let q = 315 + -336. Let l be (q/(-63))/(1/(-9)) + 5. Let 0*z**l + 4/7*z**3 + 0*z + 0 = 0. Calculate z.
0
Let v(h) be the third derivative of h**6/120 - 7*h**5/20 + 33*h**4/8 - 45*h**3/2 + 572*h**2 - 1. Suppose v(r) = 0. What is r?
3, 15
Suppose 71*s = 70*s + 12. Suppose s*k - 7 = 5*k. Let g(u) = u**3. Let m(p) = 7*p**3 + 4*p**2. Let x(n) = k*m(n) - 5*g(n). Factor x(d).
2*d**2*(d + 2)
Suppose -28*i + 25 = 5*z - 23*i, -i = -2*z + 1. Factor -12 - m**2 + z*m - 12 + 27.
-(m - 3)*(m + 1)
Suppose -4*a = -4*b + 16, 4*b + 2*a - 16 = -2*a. Determine p so that 8530 - 16*p + b*p**2 - 8530 = 0.
0, 4
Let l(h) = 199*h**2 - 3978*h + 8. Let s(u) = -124*u**2 + 2652*u - 5. Let c(w) = -5*l(w) - 8*s(w). Factor c(q).
-3*q*(q + 442)
Let n(c) be the third derivative of -c**8/252 + 13*c**7/126 - 73*c**6/360 - 11*c**5/60 + 5*c**4/8 - 36*c**2 + 5*c. What is p in n(p) = 0?
-3/4, 0, 1, 15
Let d(m) be the first derivative of 5*m**5/42 - 10*m**4/21 + 16*m**3/21 + m**2/2 + 31*m - 44. Let q(a) be the second derivative of d(a). Factor q(g).
2*(5*g - 4)**2/7
Let j = -1/436 + 883/4796. Let a(w) be the first derivative of j*w - 2/11*w**2 + 8 + 2/33*w**3. Factor a(g).
2*(g - 1)**2/11
Let y(u) be the second derivative of -u**8/112 + 3*u**6/40 - u**5/10 - 35*u**2/2 - 2*u + 69. Let z(g) be the first derivative of y(g). Factor z(d).
-3*d**2*(d - 1)**2*(d + 2)
Let y(b) be the first derivative of -b**4/20 + 11*b**3/5 + 29*b**2/2 + 111*b/5 + 396. Suppose y(f) = 0. What is f?
-3, -1, 37
Let b be 14/(-6) + 30/(-45) - -12. Factor -7*l**2 - 7*l - 17*l + b*l**2 - 20 - 6*l**2.
-4*(l + 1)*(l + 5)
Let l(v) be the second derivative of 3*v**5/20 + 53*v**4/12 + 29*v**3/6 - 85*v**2/2 + 166*v - 1. Factor l(b).
(b - 1)*(b + 17)*(3*b + 5)
Let n = -2854/1247 + -124/43. Let a = -571/116 - n. Factor 1/4*o - a*o**2 - 1/4*o**3 + 0 + 1/4*o**4.
o*(o - 1)**2*(o + 1)/4
Let c(v) = -375*v**3 - 1495*v**2 - 1565*v - 10. Let n(t) = -187*t**3 - 748*t**2 - 782*t - 12. Let j(q) = -2*c(q) + 5*n(q). Factor j(r).
-5*(r + 2)**2*(37*r + 2)
Suppose 7*j = j + 12. Let c = 114332 + -800322/7. Factor -c*r - 1/7*r**j + 3/7.
-(r - 1)*(r + 3)/7
What is f in 788/3*f**3 - 2*f**4 + 1270/3 - 3280/3*f**2 - 2804/3*f = 0?
-1, 1/3, 5, 127
Let h(y) be the third derivative of -y**7/315 + 7*y**6/30 + 44*y**5/45 + 3*y**2 - 818. Factor h(v).
-2*v**2*(v - 44)*(v + 2)/3
Solve 335 - 1789*p**2 - 1729*p - 1782*p**2 + 97 + 3575*p**2 = 0.
1/4, 432
Let i(j) be the first derivative of j**5/330 - 5*j**4/132 - 2*j**3/11 + 3*j**2/2 + 32*j + 4. Let m(d) be the second derivative of i(d). Factor m(p).
2*(p - 6)*(p + 1)/11
Suppose 10*v = 4530 - 1320. Let g = v - 321. Determine i, given that g*i**2 - 16/7*i + 0 + 4/7*i**4 + 12/7*i**3 = 0.
-2, 0, 1
Let f be (724/19910)/(11/5 - 1). Let y(z) be the third derivative of 0 - 18*z**2 + 1/1155*z**7 + 0*z**3 + 0*z - 1/132*z**6 - f*z**4 + 4/165*z**5. Factor y(n).
2*n*(n - 2)**2*(n - 1)/11
Let f = 3433 + -3429. Let h(q) be the first derivative of -2/15*q**3 + 2/15*q**2 + 1 + 0*q + 1/30*q**f. Factor h(v).
2*v*(v - 2)*(v - 1)/15
Let z(b) be the third derivative of -13/32*b**4 - 93*b**2 + 0 + 5/4*b**3 + 0*b - 3/80*b**5. Find l such that z(l) = 0.
-5, 2/3
Let u be (13 + 3)*(-288)/(-1792). Let f be 0 - (2 - 32/14). What is s in -20/7*s**2 - 6*s + 6/7*s**4 - f*s**5 - u + 12/7*s**3 = 0?
-1, 3
Let o(v) be the third derivative of v**5/60 + v**2. Let i(u) = -3*u**3 + 18*u**2 - 12. Let w be 2380/252 + ((-40)/18)/5. Let t(f) = w*o(f) - i(f). Factor t(r).
3*(r - 2)**2*(r + 1)
Let l(j) be the second derivative of -4*j**2 + 14 + 1/6*j**4 + 0*j**3 + 4*j. Factor l(x).
2*(x - 2)*(x + 2)
Let n be 54 + -60 - (-82)/12. Let g be (6/(-18))/(1/(-17)) + -5. Factor -13/6*b**2 + n*b**3 + g + 2/3*b.
(b - 2)*(b - 1)*(5*b + 2)/6
Let l(k) be the second derivative of -k**5/12 + 41*k**4/18 + 53*k**3/18 - 17*k**2/3 - 645*k - 1. Suppose l(d) = 0. Calculate d.
-1, 2/5, 17
Let v(b) be the third derivative of b**7/840 