se 18 + 7 = t*k. Determine a, given that -1 + 0*a + 15/4*a**2 - 15/4*a**4 + 5/4*a**3 - 9/4*a**k = 0.
-1, 2/3
Let f(q) be the third derivative of 0*q - 1/60*q**5 + 31*q**2 - 1 - 2*q**4 - 96*q**3. Let f(g) = 0. Calculate g.
-24
Let c be (-22)/(-4)*30/5. Let v = 36 - c. Determine p so that 2*p**v + p - p - 6*p**4 + 4*p**4 = 0.
0, 1
Let g = -37 + 31. Let n be ((-78)/(-3))/(g/(-3)). What is t in 19*t + 39*t - 300 - 11*t - 3*t**2 + n*t = 0?
10
Let x(a) = 27*a**2 + 47*a - 143. Let z(c) = 2*c**2 + 5*c + 1. Let y(g) = -x(g) + 9*z(g). Factor y(i).
-(i - 4)*(9*i + 38)
Factor p**2 + 274*p - 803 - 848 + 1909 - 810.
(p - 2)*(p + 276)
Let r(d) = -d**3 - 7*d**2 - 3*d - 16. Let f be r(-7). Factor 74*j**3 + 8*j**f + 21*j**2 - 3*j**5 + 19*j**2 - 14*j**3 + 30*j**4.
5*j**2*(j + 2)**3
Let f(t) = -13*t**3 - 54*t**2 - 54*t + 5. Suppose -3*i + 2 + 7 = 3*x, 4*x = 2*i + 6. Let w(q) = q**3 + q**2 - 2*q + 1. Let n(b) = x*w(b) - 2*f(b). Factor n(g).
2*(g + 2)**2*(14*g - 1)
Let r(l) be the second derivative of 4 - 36*l - 1/6*l**4 - 7/3*l**3 + 30*l**2. Suppose r(x) = 0. What is x?
-10, 3
Suppose -5*k = -4*y + 37, 2 = 5*y - 3*k - 28. Solve 128*h**2 - 8*h**4 - h + 28*h**3 - 6*h**y + 0*h**3 + 72*h**3 + 27*h = 0.
-1, -1/4, 0, 13
Find f such that -128/9*f + 2/9*f**3 - 2/9*f**4 - 64/3 + 68/9*f**2 = 0.
-6, -1, 4
Let c(s) be the first derivative of 5/3*s**3 - 25/2*s**2 - 70*s - 6. Factor c(l).
5*(l - 7)*(l + 2)
Let s(j) be the first derivative of j**4/18 - 230*j**3/27 + 872*j**2/9 - 3424*j/9 + 3302. Solve s(r) = 0 for r.
4, 107
Let 2/7*j**3 - 50/7*j**2 + 332/7*j - 480/7 = 0. Calculate j.
2, 8, 15
Suppose -27 = 5*m + 8. Let b(w) = 4*w + 30. Let i be b(m). Solve 5*h**i - 15*h**3 - 3*h**4 - 11*h**2 + 24*h**3 = 0 for h.
0, 1, 2
Let q(o) be the first derivative of 3*o**4/16 + 19*o**3/4 - 123*o**2/8 + 63*o/4 - 223. Suppose q(a) = 0. What is a?
-21, 1
Suppose -3*p**4 + 14*p**2 - 255*p**2 - 83*p**2 + 0*p**3 + 3*p**3 - 120*p**3 = 0. What is p?
-36, -3, 0
Let c be (-1193)/2*-3*(-6)/(-18). Let l = c + -595. Factor 3/2*q + 0 + 0*q**2 - l*q**3.
-3*q*(q - 1)*(q + 1)/2
Let w = 232 + -218. Let n be ((-35)/(-21))/(w/(-12)) - -2. Determine m, given that -12/7*m**4 + 8/7*m**3 + n*m**5 - 12/7*m + 4/7 + 8/7*m**2 = 0.
-1, 1
Let y be 48492/(-56574) - (-64)/42. Factor -y*s**3 - 6*s**2 - 16/3*s + 0.
-2*s*(s + 1)*(s + 8)/3
Let g(c) be the third derivative of c**7/280 - c**6/40 - 3*c**5/80 + 9*c**4/16 + c**2 + 8*c - 135. Factor g(a).
3*a*(a - 3)**2*(a + 2)/4
Suppose -2 = 117*d - 2. Let v(i) be the third derivative of 0*i + 0*i**3 + 1/135*i**7 + 1/45*i**6 - i**2 - 2/135*i**5 + 0*i**4 + d. Factor v(s).
2*s**2*(s + 2)*(7*s - 2)/9
Let z = -71564 + 214693/3. Factor 0 + z*p + 1/3*p**2.
p*(p + 1)/3
Let a(q) be the first derivative of -q**6/27 - 8*q**5/15 - 7*q**4/3 - 40*q**3/27 + 25*q**2/3 + 3720. Solve a(m) = 0 for m.
-5, -3, 0, 1
Let o = 1346815/63 - 21378. Let f(y) be the second derivative of 0*y**2 - 1/18*y**4 + o*y**7 + 0*y**3 - 1/30*y**5 + 1/45*y**6 + 0 + 21*y. Factor f(r).
2*r**2*(r - 1)*(r + 1)**2/3
Let r(z) = 5*z**2 - 23*z - 10. Let n(b) = 6*b**2 - 21*b - 9. Let t(i) = -i**3 + 13*i**2 - 21*i - 15. Let u be t(11). Let s(h) = u*n(h) + 3*r(h). Factor s(p).
-3*(p - 2)*(3*p + 1)
Let t(z) be the third derivative of -z**7/168 - 37*z**6/96 + 61*z**5/4 - 400*z**4/3 - 2080*z**3/3 - 3*z**2 - z + 1033. Let t(w) = 0. What is w?
-52, -1, 8
Factor 8920432*f - 8920432*f - 90*f**2 + 3*f**4 - 87*f**3.
3*f**2*(f - 30)*(f + 1)
Let j be (79/(-9))/1 + (4 - 225/(-45)). Let b(n) be the first derivative of -40 - j*n**3 + 8/3*n + n**2. Factor b(k).
-2*(k - 4)*(k + 1)/3
Let w(n) be the second derivative of -1 + 1/20*n**6 - 27/2*n**2 + 21/40*n**5 + 13/8*n**4 - 3/4*n**3 + 23*n. What is t in w(t) = 0?
-3, -2, 1
Factor -20000 + 1/5*q**3 + 1600*q + 38*q**2.
(q - 10)*(q + 100)**2/5
Let d(z) be the third derivative of 0*z + 26*z**2 + 109/20*z**5 + 50*z**3 + 65/2*z**4 + 9/70*z**7 - 39/20*z**6 + 5. Factor d(y).
3*(y - 5)**2*(3*y + 2)**2
Let z = 12637/38055 + 16/12685. Factor -z*q**2 + 1/3*q + 2/3.
-(q - 2)*(q + 1)/3
Let m = 24847 + -173927/7. Factor 8/7*b**4 - 2/7*b - m*b**5 + 8/7*b**2 - 12/7*b**3 + 0.
-2*b*(b - 1)**4/7
Suppose 0 = -i - 5, -5 + 0 = 5*u + 5*i. Determine m so that -3*m - 2 + 11 - u + 2*m**2 + 5 + 15*m = 0.
-5, -1
Find v such that -1019*v - 921 + 7599*v + 4140*v**2 + 5*v**4 + 0*v**4 + 845*v**3 + 4201 = 0.
-164, -2, -1
Let w(t) be the third derivative of -t**7/210 - 2*t**6/45 + 2*t**5/15 + 8*t**4/3 - 4*t**3 + 52*t**2. Let c(b) be the first derivative of w(b). Factor c(k).
-4*(k - 2)*(k + 2)*(k + 4)
Let r(q) be the second derivative of -q**6/2160 + q**5/72 + 11*q**4/144 - 83*q**3/6 - 87*q. Let s(p) be the second derivative of r(p). Let s(v) = 0. What is v?
-1, 11
Let z(g) = 3*g**2 + 96*g + 174. Let i(d) = -2*d + 10*d - 4*d - 4*d - d. Let x(c) = -3*i(c) - z(c). Suppose x(l) = 0. What is l?
-29, -2
Let j(h) be the second derivative of h**6/45 + 3*h**5/10 - 7*h**4/6 + 11*h**3/9 + 413*h - 2. Find c such that j(c) = 0.
-11, 0, 1
Let r(b) be the second derivative of 0 - 1/180*b**6 - 841/72*b**4 + 0*b**3 - 29/60*b**5 + 17*b + 0*b**2. Determine n so that r(n) = 0.
-29, 0
Let k(s) be the first derivative of -125/2*s**2 - 1/6*s**6 - 42 - 200/3*s**3 + 0*s - 45/2*s**4 - 16/5*s**5. Let k(r) = 0. What is r?
-5, -1, 0
Let 232/7*l + 796/7*l**2 + 758/7*l**3 - 16/7 + 30*l**4 = 0. What is l?
-2, -1, -2/3, 2/35
Let v = -7055/231 - -337/11. Let f(b) be the first derivative of -3/7*b**2 + v*b**3 - 5 - 8/7*b. Factor f(m).
2*(m - 4)*(m + 1)/7
Let o be 0*(2/8)/(18*13/312). What is w in o + 162/7*w - 2/7*w**4 - 18*w**2 - 34/7*w**3 = 0?
-9, 0, 1
Factor -60*w**2 + w**3 + 5*w**3 - 1079*w + 572*w + 18*w**4 - 12 + 581*w - 58*w**2.
2*(w - 2)*(w + 3)*(3*w - 1)**2
Suppose 3*x = 36*x + 11*x - 220. Let p(v) be the second derivative of -8*v + 1/110*v**x + 0*v**2 + 0*v**4 + 0*v**3 + 0. Find w, given that p(w) = 0.
0
Let w(u) be the first derivative of 2/21*u**3 - 8/35*u**5 - 71 + 3/14*u**4 + 0*u**2 + 0*u. What is c in w(c) = 0?
-1/4, 0, 1
Let w = -65 - -67. Let c be -1 + 0 + w + 2. Determine z, given that -24*z**3 + 12*z + 5*z**3 + 618*z**2 - 8*z**c - 633*z**2 = 0.
-1, 0, 4/9
Solve -695/4*g**3 - 23/2 + 415/4*g**2 + 21/4*g + 291/4*g**4 + 7/2*g**5 = 0 for g.
-23, -2/7, 1/2, 1
Factor -360/11 - 422/11*m + 2/11*m**3 - 60/11*m**2.
2*(m - 36)*(m + 1)*(m + 5)/11
Let l(m) = 323*m + 1941. Let g be l(-6). Solve 3/7*u**4 - 3*u**3 + 27/7*u**2 - 30/7 + g*u = 0 for u.
-1, 1, 2, 5
Suppose 49 + 11 = 4*a. Suppose 11*c + 25 - 190 = 0. Factor -a*k - 3*k**2 - c + 6 - 9.
-3*(k + 2)*(k + 3)
Determine j so that -3/4*j**5 + 0 - 561*j**2 + 2178*j + 129/4*j**4 - 651/2*j**3 = 0.
-3, 0, 2, 22
Factor -6*a + 28/3 - 4*a**2 + 2/3*a**3.
2*(a - 7)*(a - 1)*(a + 2)/3
Let g = -2 - 10. Let q(j) = j**4 + j**2 + j. Let m(z) = -10*z**4 - 14*z**2 - 12*z. Let p(v) = g*q(v) - m(v). Factor p(f).
-2*f**2*(f - 1)*(f + 1)
Suppose 1/2*d**5 - 2*d**2 + 1/2*d - d**3 + 1 + d**4 = 0. Calculate d.
-2, -1, 1
Let z(t) = -57*t - 57. Let v be z(-1). Let s(g) be the second derivative of 1/8*g**2 + 0*g**3 + v - 1/48*g**4 + 27*g. Factor s(h).
-(h - 1)*(h + 1)/4
Factor -5*v**2 + 730*v - 2603143 - 4467*v + 580*v - 3533*v + 365338.
-5*(v + 669)**2
Suppose -4*i + 11 = -29. Suppose -11*w - 2 = 4*h - 13*w, 2*w - i = 0. Factor -3/11*z**h - 19/11*z + 14/11.
-(z + 7)*(3*z - 2)/11
Suppose 2*c + 4 = 0, 4*n = 2*n - c + 24. Factor 40*x - n - 30 - 4*x**2 + 7.
-4*(x - 9)*(x - 1)
Suppose -5*f = 1021*g - 1017*g + 38, -2*g - 22 = f. Find q, given that -22/7*q + 12/7 + 8/7*q**3 + 2/7*q**f = 0.
-2, 3/4, 1
Let n(b) = 3*b**4 - b**3 + b**2 - b - 1. Let k(w) = 13*w**4 - w**3 - 6*w**2 - 4*w - 4. Let f(d) = 5*k(d) - 20*n(d). Let f(r) = 0. What is r?
-5, 0, 2
Let p = 132/35 + -1382/385. Let f(b) be the first derivative of 2/33*b**3 + 7 - 6/11*b + p*b**2. What is k in f(k) = 0?
-3, 1
Suppose 148/9*u**4 - 52/3*u**3 + 16/9*u**5 - 80/9*u + 0 - 368/9*u**2 = 0. Calculate u.
-10, -1, -1/4, 0, 2
Let x(l) be the first derivative of -35*l**6/4 - 93*l**5/20 + 321*l**4/16 + 29*l**3/4 - 111*l**2/8 + 3*l/2 - 9860. Determine c, given that x(c) = 0.
-1, 2/35, 1/2, 1
Suppose -2*g - 9839 = 5*c - 9869, 0 = 2*c - 5*g + 75. Solve 5/3*z**2 + 50/3*z + c = 0.
-10, 0
Determine r so that 162/7*r + 24*r**4 + 6/7 - 162/7*r**3 - 174/7*r**2 = 0.
-1, -1/28, 1
Let h(z) be the third 