 + 0 + 3/5*z**t + 33/5*z**2.
3*z*(z + 5)*(z + 6)/5
Let q(f) be the third derivative of -2*f**8/357 - 40*f**7/119 + 101*f**6/340 - 19*f**5/255 + 8*f**2 - f + 40. Suppose q(d) = 0. Calculate d.
-38, 0, 1/4
Let o(k) be the second derivative of k**7/21 + 29*k**6/15 - 243*k**5/40 + 77*k**4/12 - 31*k**3/12 + 88*k - 11. Determine b, given that o(b) = 0.
-31, 0, 1/2, 1
Solve 72*c**3 + 74*c**3 + 1250*c - 1260*c**2 - 392 + 0*c**4 - 23 - 5*c**4 + 284*c**3 = 0.
1, 83
What is j in 407317 + 5*j**4 + 1080*j - 203662 - 203655 - 95*j**3 + 330*j**2 = 0?
-2, 0, 9, 12
Suppose -4*z = 28 - 48. Suppose 3*g = 4*g - o - 1, o = -z*g + 11. Find q, given that -g*q**2 + 39 - 4*q - 51 - 6*q + 4*q**2 = 0.
-1, 6
Let -4/5*v**3 - 24*v + 0 - 44/5*v**2 = 0. What is v?
-6, -5, 0
Suppose -i - 3*a + 0*a = -15, 5*a - 25 = 3*i. Suppose 3*g + 5*y = 8*g + 15, i = -4*y + 20. Factor -3475*c + 2*c**3 + 5*c**g + 3475*c - 7*c**3.
-5*c**2*(c - 1)
Let a(q) be the third derivative of -q**5/570 - 13*q**4/114 - 35*q**3/19 - q**2 + 1151*q. Find g, given that a(g) = 0.
-21, -5
Find d such that 0 - 1/3*d**2 + 169/3*d**3 + 4*d**5 - 13/3*d + 169/3*d**4 = 0.
-13, -1, -1/3, 0, 1/4
Suppose -69 + 284 = 27*q + 80. Suppose 0 + 890/3*y**3 + 815/3*y**4 + 40/3*y + 75*y**q + 340/3*y**2 = 0. Calculate y.
-2, -1, -2/5, -2/9, 0
Let s(k) be the third derivative of -21/20*k**5 - 343/40*k**6 + 49/10*k**7 + 0*k + 19/8*k**4 + k**3 - 2 - 52*k**2. Find c such that s(c) = 0.
-1/7, 2/7, 1
Let l(p) be the first derivative of -p**4/6 + 4*p**3/9 + 13*p**2/3 + 20*p/3 - 5575. Determine u, given that l(u) = 0.
-2, -1, 5
Let j = 101089 + -60512. Let r = j - 933109/23. Determine z, given that -16/23 - r*z**4 + 558/23*z**3 + 168/23*z - 548/23*z**2 = 0.
2/9, 1, 2
Suppose -v = -2*v + k + 6, -k = -4*v + 33. Suppose 11*b + v*b = 0. Factor b - 2/5*f**2 + 0*f.
-2*f**2/5
Suppose -15693*b + 30 = -15687*b. Let u(w) be the first derivative of 0*w - 1/2*w**2 - 19 + 5/6*w**3 - 3/5*w**b + 1/8*w**4. What is a in u(a) = 0?
-1, 0, 1/2, 2/3
Let n(r) = -3*r**4 + 7*r**2 + 6*r - 2. Let v(a) = -10*a**4 - 18 + 18*a + a**3 - 1 + 12 + 22*a**2. Let b(f) = 21*n(f) - 6*v(f). Suppose b(d) = 0. Calculate d.
-3, -1, 0, 2
Let f(n) be the first derivative of 7*n**4/24 + 5*n**3/3 + 29*n**2/12 + n + 718. Solve f(v) = 0 for v.
-3, -1, -2/7
Factor -1/7*p**5 - 1065/7*p**3 - 31488/7*p + 36864/7 + 9136/7*p**2 + 54/7*p**4.
-(p - 16)**3*(p - 3)**2/7
Suppose 0 = 4*v + 4, 0*f = 2*f + v + 55. Let o = f - -31. Factor 8*s**3 + 6*s**2 + 58*s - 8 + 0 - 66*s + 2*s**o.
2*(s - 1)*(s + 1)*(s + 2)**2
Let k be (7000/10000)/((-14)/(-16)). Factor 16/5*s - k*s**2 + 48/5.
-4*(s - 6)*(s + 2)/5
Factor 15*w**2 - 352*w - 45 - 346 + 455 + 4*w**3 + 25*w**2 + 448.
4*(w - 4)*(w - 2)*(w + 16)
Let x(h) be the third derivative of -h**7/1155 - 7*h**6/165 - 5*h**5/22 - 301*h**2 - 1. Let x(w) = 0. What is w?
-25, -3, 0
Suppose 5*h = 4*h - 4. Let u be (h/(-5))/((-14)/(-70)). Determine s so that 2*s**5 + 9*s**u - 9*s**3 - 10*s**5 + 3*s**2 + 5*s**5 = 0.
0, 1
Suppose 4*w + 5*l = -49 - 38, 5*w + 3*l + 99 = 0. Let r be w/(-10) + -6 + 31/5. Factor 3/4*s**r + 0*s + 0 - 1/4*s**3.
-s**2*(s - 3)/4
Let y(a) be the second derivative of -a**4/14 + 475*a**3/14 - 711*a**2/14 - a - 1600. Find t, given that y(t) = 0.
1/2, 237
Let j(k) be the first derivative of 440*k - 7*k**4 - 994*k**2 + 269 + 1576/3*k**3. Factor j(v).
-4*(v - 55)*(v - 1)*(7*v - 2)
Let f(s) be the second derivative of -2*s**6/15 - 54*s**5/5 - 205*s**4/3 - 168*s**3 - 200*s**2 - 4*s - 5. What is v in f(v) = 0?
-50, -2, -1
Let i = 488314/3 + -162771. Let 16 - i*n**4 - 1/3*n**5 + 88/3*n**2 + 112/3*n + 8*n**3 = 0. Calculate n.
-2, -1, 6
Factor -21*c + 4*c**2 - 1/4*c**3 + 36.
-(c - 6)**2*(c - 4)/4
Let i(c) = 32*c**4 - 302*c**3 + 194*c**2 + 80*c - 2. Let r(x) = 66*x**4 - 605*x**3 + 389*x**2 + 160*x - 5. Let n(d) = 5*i(d) - 2*r(d). Factor n(t).
4*t*(t - 10)*(t - 1)*(7*t + 2)
Let o(j) be the second derivative of -j**4/48 - 385*j**3/6 - 148225*j**2/2 + 1891*j - 2. Factor o(i).
-(i + 770)**2/4
Let h(l) be the second derivative of -1/25*l**5 + 0 - 250*l**3 + 106*l + 5*l**4 + 6250*l**2. Find j, given that h(j) = 0.
25
Let n(r) be the first derivative of r**3/3 + 7*r**2 + 24*r - 183. Let n(q) = 0. What is q?
-12, -2
Suppose -3949*k + 4*y - 72 = -3952*k, 9 = 3*y. Let o(q) be the second derivative of 0 + k*q - 1/4*q**4 + 12*q**2 + 7/2*q**3. Suppose o(l) = 0. What is l?
-1, 8
Let l be 56/6 - -4 - (18 - (13 + -7 - -6)). Let 8*j**2 - 8/9*j**3 - l*j + 16/9 = 0. What is j?
1/2, 8
Let l(k) = k**5 + k**4 - k**3 + k**2 + 7. Let p(i) = 2*i**5 + 188*i**4 + 358*i**3 - 574*i**2 - 1476*i - 739. Let b(j) = -l(j) - p(j). Solve b(u) = 0.
-61, -2, -1, 2
Let g = 359485 + -1797417/5. Let -12/5*p**4 - 4/5*p**5 + 12/5*p**2 - 4/5*p**3 + 0 + g*p = 0. Calculate p.
-2, -1, 0, 1
Let i(m) = 42*m + 170. Let x be i(-4). Factor 43*c**2 + 100*c - 3 + 1 + x - 47*c**2.
-4*c*(c - 25)
Suppose 0 + 339/5*x**2 + 72/5*x**3 - 198*x + 3/5*x**4 = 0. What is x?
-15, -11, 0, 2
Suppose w = 5*o - 28, -13 = -5*o + 144*w - 148*w. Determine q so that -512/5*q - 80*q**2 - 152/5*q**3 - 28/5*q**4 - 2/5*q**o - 256/5 = 0.
-4, -2
Let d(y) be the third derivative of -y**8/336 + 26*y**7/105 - 577*y**6/120 - 3223*y**5/30 + 19481*y**4/6 + 260876*y**3/3 + 759*y**2. What is r in d(r) = 0?
-7, 22
Let y(b) = 3*b**2 - 2*b - 3. Suppose -c + 35 - 37 = 0. Let t be y(c). Suppose -2*w**2 - t + 15*w - 7*w + 7 = 0. Calculate w.
1, 3
Let w = 1660 + -1657. Let r(j) be the third derivative of 0 + 0*j + 1/24*j**4 + 0*j**w + 1/240*j**6 - 17*j**2 + 1/40*j**5. Suppose r(k) = 0. What is k?
-2, -1, 0
Let x be 2 + -23 + 2 + 2599 + -2580. Let q = 15 + -59/4. Factor x*z**3 + 0*z + 1/4*z**2 - q*z**4 + 0.
-z**2*(z - 1)*(z + 1)/4
Suppose -4*w = -4*y, 18 - 12 = 2*y. Suppose 5*h = i + 17, 129*h - 1 = -w*i + 131*h. Factor 0*n - 2/7*n**i + 0*n**2 + 1/7*n**4 + 0.
n**3*(n - 2)/7
Let r(u) be the second derivative of u**4/3 + 386*u**3 + 15*u - 4. What is q in r(q) = 0?
-579, 0
Let m = 342 - 335. Let l be 15/18*9 - m. Factor -1/4 - 1/4*t**2 + l*t.
-(t - 1)**2/4
Let d = 553 + -551. Factor v**3 + 506*v - 294*v + d*v**3 - 293*v + 78*v**2.
3*v*(v - 1)*(v + 27)
Let j = 87665/2 + -43823. Let 0 + 3*w + 15/2*w**4 + j*w**2 - 26*w**3 = 0. Calculate w.
-1/5, 0, 2/3, 3
Let b(q) be the third derivative of -3*q**8/112 - 137*q**7/140 + 97*q**6/240 + 82*q**5/15 + 23*q**4/4 + 3*q**2 - 2*q - 139. Suppose b(t) = 0. Calculate t.
-23, -2/3, 0, 3/2
Suppose 3*k - 23 = 19. Suppose -k + 24 = 5*n. Find v, given that 6*v + 2*v - 5*v + 3*v**n = 0.
-1, 0
Suppose 0 = -5*m + 3*k + 30, -5*m - 36 = 4*k - 31. Let a(s) be the first derivative of 0*s**2 + 5/18*s**m + 1/24*s**4 - 8 + 0*s. Let a(j) = 0. What is j?
-5, 0
Factor 49/2*a**2 + 0 - 1/6*a**3 + 75*a.
-a*(a - 150)*(a + 3)/6
Let y(x) be the second derivative of -4*x + 378/5*x**5 - 1008*x**3 - 3841/4*x**4 - 384*x**2 - 8/5*x**6 + 3. Let y(p) = 0. What is p?
-1/4, 16
Let c(k) be the first derivative of 0*k + 3/80*k**5 - 27/32*k**4 + 19/3*k**3 + 0*k**2 - 1/1440*k**6 + 28. Let s(o) be the third derivative of c(o). Factor s(w).
-(w - 9)**2/4
Let 180430*s**3 + 14400*s - s**4 + 46*s**4 + 13290*s**2 - 89545*s**3 - 89390*s**3 + 2560 = 0. Calculate s.
-16, -1, -2/9
Let m be 20/3*(-1536)/(-80). Let -m - 4*w**4 - 169*w + 142*w - 144*w**2 - 40*w**3 - 134*w - 63*w = 0. Calculate w.
-4, -2
Let w(z) be the second derivative of -z**6/1440 + z**5/240 - 31*z**3/3 - 17*z - 1. Let r(l) be the second derivative of w(l). Factor r(y).
-y*(y - 2)/4
Let a = -1 + 5. Suppose -a*j + 3*z + 12 = 0, 6*j - 5*z - 9 = 3*j. Suppose w**3 - 2*w**3 - 2*w**j - 2*w**3 + 15*w + 10 = 0. Calculate w.
-1, 2
Let v(j) be the second derivative of -j**6/75 + 39*j**5/25 - 451*j**4/10 + 6776*j**3/15 + 5*j - 456. Factor v(r).
-2*r*(r - 56)*(r - 11)**2/5
Let b(z) = 32*z - 134. Let x be b(5). Factor -v**3 + 5*v**3 + v**3 - x*v**2 + 26 - 3*v**3 - 2*v.
2*(v - 13)*(v - 1)*(v + 1)
Let n(b) = -b**4 - b**3 - 2*b**2 + 1. Let l(u) = 4*u**4 - 71*u**3 + 870*u**2 - 5. Let g(o) = 2*l(o) + 10*n(o). Factor g(w).
-2*w**2*(w - 10)*(w + 86)
Let j = -11833/6 - -118333/60. Let b(n) be the second derivative of 1/2*n**3 + 0*n**4 + 0 + 3/4*n**2 - j*n**6 - 3/20*n**5 - 13*n. Factor b(s).
-3*(s - 1)*(s + 1)**3/2
Let x be 52/442 - (-1964)/68. Let o be 18/8 + (-1)/4. Factor -5 + 5 - x*z**o + 32*z + 33*z**2.
4*z*(z +