6*h + l = 0. Solve 1/5*b**h + 3/5*b + 0 = 0.
-3, 0
Suppose -7*r = -136 + 31. Suppose -7*l + 29 - r = 0. What is p in -39*p**l - 2*p**4 - 18*p**3 - 59 - p**4 + 47 - 36*p = 0?
-2, -1
Factor -617*u**2 - 1423656 + 2*u**3 + 54756*u + u**3 + 109*u**2 - 194*u**2.
3*(u - 78)**3
Solve -5/2*c**3 - 163/2*c + 30 + 54*c**2 = 0.
3/5, 1, 20
Find v such that -18*v - v**2 + 2*v**3 - 27*v**2 - 17*v**4 + 9 + 20*v**4 = 0.
-3, -1, 1/3, 3
Let x(t) be the third derivative of t**5/80 - 157*t**4/32 + 39*t**3/2 + 739*t**2. Determine f, given that x(f) = 0.
1, 156
Let q(z) be the second derivative of -z**7/154 - 4*z**6/33 - 41*z**5/220 + 2*z**4/3 + 2*z**3/3 - 24*z**2/11 + 309*z. Find a such that q(a) = 0.
-12, -2, -1, 2/3, 1
Let y(m) be the second derivative of 11*m + 7*m**3 - 3/40*m**5 + 0*m**2 - 7 - 27/8*m**4. Suppose y(v) = 0. Calculate v.
-28, 0, 1
Let b(q) be the third derivative of 0 + 13/30*q**4 - 1/75*q**5 + 28/15*q**3 + 21*q**2 + 0*q. What is j in b(j) = 0?
-1, 14
Factor -5*j**4 + 56520*j - 56900*j - 400*j**2 - 106*j**3 - 9*j**3.
-5*j*(j + 2)**2*(j + 19)
Find k, given that 0*k - 7/2*k**4 + 0 + 50*k**2 + 20*k**3 - 1/2*k**5 = 0.
-10, -2, 0, 5
Factor 396*l**3 + 751*l**3 - 1150*l**3 + 714*l - 231*l**2 - 480.
-3*(l - 2)*(l - 1)*(l + 80)
Solve 213/7*u - 900/7 + 3/7*u**2 = 0.
-75, 4
Let i = -114 - -128. Suppose -108*a + 115*a = i. Find p, given that 36/7*p**a - 40/7*p + 4/7 = 0.
1/9, 1
Factor 23*u + 17 - 5*u**2 - u**3 + 21 - 8 + 5*u + 2.
-(u - 4)*(u + 1)*(u + 8)
Let l(z) be the third derivative of z**7/70 + 4*z**6/15 - 307*z**5/30 + 32*z**4 - 63*z**3/2 - 8*z**2 + 83. Determine g so that l(g) = 0.
-21, 1/3, 1, 9
Let r(z) be the first derivative of 2*z**3/27 - 14*z**2/3 + 304*z/9 - 630. Factor r(p).
2*(p - 38)*(p - 4)/9
Let f(t) be the first derivative of -t**6/16 - 153*t**5/20 - 879*t**4/32 + 99*t**3/2 - 7323. Suppose f(n) = 0. Calculate n.
-99, -4, 0, 1
Let y(j) be the second derivative of j**7/16380 + j**6/4680 - j**5/65 + 85*j**4/12 + 4*j. Let g(f) be the third derivative of y(f). Find v, given that g(v) = 0.
-4, 3
Let a be (19 + -34 + 24)*3/9. Solve 0 + 5*q**2 - 16/3*q**4 - 2/3*q - 8*q**a = 0 for q.
-2, 0, 1/4
Let i be (-8 - (-1 - 7))/3. Let p be (162/(-15))/(i - 2). What is h in 24/5 - p*h**2 + 102/5*h = 0?
-2/9, 4
Let l(b) be the first derivative of -5*b**2 + 0*b - 1/5*b**5 + 8/3*b**3 - 1/30*b**6 + 0*b**4 + 8. Let c(m) be the second derivative of l(m). Factor c(p).
-4*(p - 1)*(p + 2)**2
Let k be (-126)/(-20)*(25/(1500/(-18)) + 826/420). Solve k*n**2 + 34 + 1/2*n**3 + 36*n = 0.
-17, -2
Suppose -5*b + 5*a + 75 = 0, -2*b - 829 + 870 = -3*a. Factor 9*n + 118/9*n**3 + 20/9*n**b + 1/9*n**5 + 20*n**2 + 0.
n*(n + 1)**2*(n + 9)**2/9
Let v(l) be the second derivative of l**7/63 - l**6/5 + l**5 - 23*l**4/9 + 11*l**3/3 - 3*l**2 - 988*l. Factor v(c).
2*(c - 3)**2*(c - 1)**3/3
Let h(f) = -f**3 + 28*f**2 + 2*f - 53. Let y be h(28). Let v(x) be the first derivative of -1/2*x**4 + 0*x**3 + 4*x - 18 + y*x**2. What is z in v(z) = 0?
-1, 2
Suppose -36 = -2*m - 8. Let o be -4 + (-9)/((-9)/m). Determine y so that 7*y - 20 - 10 - 15*y**2 + 28*y + o*y**2 = 0.
1, 6
Let x(j) be the first derivative of 28*j**2 - 24*j**3 + 1/21*j**6 + 109/14*j**4 + 0*j - 36/35*j**5 - 164. Determine q, given that x(q) = 0.
0, 2, 7
Let z(s) = -3*s - 49. Let a be z(-17). Factor 20*r**3 - 24 - 165*r**2 + 193*r**2 - 20*r + a*r**4 - 6*r**4.
-4*(r - 6)*(r - 1)*(r + 1)**2
Let g be -90 + 87 - (-51)/15. Let 16/5*b**2 - 12/5*b**3 + 0*b + 0 + g*b**4 = 0. What is b?
0, 2, 4
Let h(i) be the third derivative of -1/12*i**5 + 96*i**2 - 1/8*i**6 + 0 + 5/336*i**8 + 5/12*i**4 + 1/42*i**7 + 0*i**3 + 0*i. Let h(g) = 0. Calculate g.
-2, -1, 0, 1
Let p be 408/32*(43 + 17235/(-405)). Solve -10/3*i**3 + 1/3*i**4 + p*i**2 + 0 - 8/3*i = 0.
0, 1, 8
Let a(f) be the third derivative of -f**6/660 + 14*f**5/165 - 49*f**4/33 + 7*f**2 + 5*f - 3. Let a(l) = 0. Calculate l.
0, 14
Let w be (-20 + 1501/76)/(-1). Factor w*f**2 - 1/4*f**3 + 0*f - 1/4*f**4 + 0 + 1/4*f**5.
f**2*(f - 1)**2*(f + 1)/4
Let s(x) be the second derivative of -11*x**4/4 - 861*x**3/2 - 351*x**2 + 944*x. What is t in s(t) = 0?
-78, -3/11
Suppose -5*v = 5*j - 110, 0 = -2*v - 5*j + 4 + 52. Let 36*t**2 + 4926*t - v*t**4 + 3*t**3 - 4*t**5 - t**3 - 4942*t = 0. What is t?
-4, -2, 0, 1/2, 1
Let f be ((-11)/22)/((-2)/20). Suppose -5*z = 4*o - 6, 0 = -3*z - f*o + 5 - 4. Let -3*k**z - 10*k**2 - 5*k + 5*k**2 - 15*k**3 - 7*k**2 - 5*k**4 = 0. What is k?
-1, 0
Let o = 5004/12235 + -22/2447. Suppose -360 + 24*n - o*n**2 = 0. What is n?
30
Let i(b) be the third derivative of -82*b + b**2 + 0 - 23/24*b**4 + 1/40*b**6 - 1/6*b**5 - 5/3*b**3. Factor i(v).
(v - 5)*(v + 1)*(3*v + 2)
Suppose h - 19 = -r, -4*r - 5*h + 3*h + 82 = 0. Suppose -3*d - l = -r, -3*l + 0*l = -2*d. Factor -96*a**2 - d*a + 15 + 91*a**2 - 3*a - a.
-5*(a - 1)*(a + 3)
Let u = 177 - 173. Find h such that -72*h + 140*h**2 + 5*h**2 - 26*h**2 + u*h**4 - 48*h**3 - 3*h**2 = 0.
0, 1, 2, 9
Let c be -2 + (-657)/(-18)*10. Factor -373 + 5*y**3 - c - 10*y**2 - 5*y + 746.
5*(y - 2)*(y - 1)*(y + 1)
Let 176/5*z - 26*z**2 - 338/5*z**3 - 32/5 = 0. Calculate z.
-1, 4/13
Let h(f) be the first derivative of -32*f**5/15 - 65*f**4/12 - 2*f**3/9 + 1179. Determine c so that h(c) = 0.
-2, -1/32, 0
Let z(k) be the second derivative of 1/135*k**6 + 5/27*k**3 - 1/15*k**5 - 1/3*k**2 + 1/27*k**4 + 1/189*k**7 + 53*k + 0. Factor z(u).
2*(u - 1)**3*(u + 1)*(u + 3)/9
Suppose 5*o + 45 - 2 = 8*a, -5*a + o = -29. Suppose 3*x - 4*k - 14 = 0, x + 7*k = a*k. Suppose -3/2*f**x + 27/2 + 0*f = 0. Calculate f.
-3, 3
Suppose -43 - 57 - 65 - 57*k**2 + 775*k - 5 + 12*k**2 = 0. Calculate k.
2/9, 17
Let q be ((-195650)/(-30940))/((-1)/(-8)*10). Factor q*a - 2/17*a**2 + 0.
-2*a*(a - 43)/17
Factor 5015*z - 1674*z - 1667*z - 1674*z - 244*z**4 + 32*z**2 - 472*z**3.
-4*z**2*(z + 2)*(61*z - 4)
Suppose -281 = 15*x + 79. Let q = -93/4 - x. Factor -1/4*l**4 + q*l**2 + 1/2*l + 0*l**3 + 0.
-l*(l - 2)*(l + 1)**2/4
Suppose -58*a = -61*a + 54. Determine w so that -49*w**5 - 8*w + 119*w**4 + 577*w**2 - 204*w**2 - 206*w**2 - 211*w**2 - a*w**3 = 0.
-2/7, 0, 1, 2
Let r(t) = 140*t**2 + 7228*t + 14312. Let g(b) = 44*b**2 + 2409*b + 4772. Let y(z) = 16*g(z) - 5*r(z). Find q, given that y(q) = 0.
-599, -2
Factor -130/3 + 1/6*s**2 - 8/3*s.
(s - 26)*(s + 10)/6
Let g be (1 + 1)*(-1)/((-1)/7). Suppose -4 - g = -6*a. Factor 10*d**3 + 10*d**4 + a*d**2 - 4*d - 6 - 7*d**4 - 5*d - d**3.
3*(d - 1)*(d + 1)**2*(d + 2)
Find r, given that 94/3*r + 2/3*r**3 - 50/3*r**2 - 46/3 = 0.
1, 23
Let q(z) = 31*z**2 - 1037*z + 5821. Let t(w) = -20*w**2 + 691*w - 3881. Let f(r) = -7*q(r) - 11*t(r). Factor f(h).
3*(h - 108)*(h - 6)
Let q(v) be the second derivative of v**6/6 + 3*v**5 + 55*v**4/3 + 40*v**3 - 100*v - 1. Let q(z) = 0. Calculate z.
-6, -4, -2, 0
Suppose -35 = -2*u + 7*u - 4*j, 5*u + 2*j + 5 = 0. Let d be 4/(-2 + -2) - u. Factor -5*q**3 + 0*q**3 + 3*q**4 + 2*q**4 - 10*q**d.
5*q**2*(q - 2)*(q + 1)
Let t = -393 + 400. Let c be (-84)/(-60)*16/t. Let 12/5*w + c*w**3 - 2/5 - 24/5*w**2 = 0. Calculate w.
1/2
Let k be (-2 - 1)/((28/(-8))/7). Let d(v) = v**3 - 7*v**2 + 8*v - 10. Let c be d(k). What is i in -5 + 18*i + 5 - 28*i + c*i**2 = 0?
0, 5
Determine h, given that 1222*h**2 - 324*h + 7*h**3 - h**4 - h**4 - 482*h**2 - 578*h**2 - 3*h**3 = 0.
-9, 0, 2, 9
Let r(u) be the first derivative of -28/15*u**3 + 12 - 36/5*u - 1/5*u**4 + 34/5*u**2. Factor r(h).
-4*(h - 1)**2*(h + 9)/5
Let p(u) be the second derivative of 3*u**5/10 + 25*u**4/12 + 2*u**3/3 + 27*u + 3. Suppose p(d) = 0. What is d?
-4, -1/6, 0
Suppose -880*z - 55 = -875*z, 0 = -3*h - z + 1. Factor 50 - 2/5*t**h + 20*t - 24*t**2 + 28/5*t**3.
-2*(t - 5)**3*(t + 1)/5
What is w in 1/2*w**5 - 49/2*w**2 + 0 + 217/4*w**3 + 0*w - 43/4*w**4 = 0?
0, 1/2, 7, 14
Let t(y) = -138*y**2 + 15*y. Let x(s) = -264*s**2 + 30*s. Let n(w) = 5*t(w) - 3*x(w). Factor n(r).
3*r*(34*r - 5)
Let -3242*z - 35 - 50*z + 19*z**5 + 2272*z**4 + 299 + 8216*z**2 - 22*z**5 - 7536*z**3 + 79*z**5 = 0. Calculate z.
-33, 2/19, 1
Factor -4/5*v**4 + 31359984/5*v + 11208/5*v**3 - 31315216/5 - 7873588/5*v**2.
-4*(v - 1399)**2*(v - 2)**2/5
Let m be (-95)/(-20) - 12/8*(-5)/(-10). Let r(o) be the first derivative of 0*o**2 + 13 - 2/7*o**3 + 1/14*o**m + 8/7*o. Let r(j) = 0. Calculate j.
-1, 2
Suppose 3*t + w - 14