*4 + 4*j**5 + 48*j**2 - 16*j - 4*j**3 + 3*j**4 + 16*j**5 - 43*j**4 = 0.
-1, 0, 2/5, 1, 2
Let g(z) = -z**3 - 29*z**2 + 61*z - 29. Let o be g(-31). Suppose -346 - 352 + 698 + 16*s**3 - 24*s**2 - o*s**4 = 0. What is s?
0, 2, 6
Let t(q) be the second derivative of q**4/30 - 649*q**3/5 + 1946*q**2/5 - 8745*q. Suppose t(r) = 0. Calculate r.
1, 1946
Let p(h) = 4*h**3 + 2*h**2 - 7*h + 7. Let v be p(7). Suppose -4*m = 3*r - 2*m - 1088, 4*r - 3*m = v. Factor -344 - 22*a + 168*a**2 - 86*a + r + 49*a**3.
(a + 4)*(7*a - 2)**2
Suppose 0 = u - 3*b - 3, 0*b - 2*b = -u + 3. Suppose 94*m - 26 - 242 = 27*m. Let 0*k**u - 4/3*k**5 + 0*k + 0*k**2 + 0 + 4/3*k**m = 0. What is k?
0, 1
Let k = 433009 + -2165043/5. Factor k*j**2 + 0*j + 0 + 2/15*j**4 + 8/15*j**3.
2*j**2*(j + 1)*(j + 3)/15
Let s(p) be the third derivative of -41*p**5/20 - 83*p**4/4 - 4*p**3 + 14*p**2 - 59. Factor s(a).
-3*(a + 4)*(41*a + 2)
Suppose -4*b - 19 = -3*y - 92, -3*y - 9 = 0. Suppose -3*i = b*i - 38. Suppose 11/5*w**3 + 1/5*w**5 - 12/5*w + 2/5*w**i + 6/5*w**4 - 8/5 = 0. Calculate w.
-2, -1, 1
Suppose 11509718 - 4097296*n - 11290*n**3 - 9548*n**3 - 2*n**5 - 1354480*n - 1338*n**3 - 346*n**4 + 10978858 - 611776*n**2 = 0. Calculate n.
-44, 3
Let r = 51091/15 - 3406. Let a(f) be the second derivative of 0*f**3 - r*f**6 - 1/6*f**4 + 1/5*f**5 + 0 + 0*f**2 + 21*f. Suppose a(g) = 0. Calculate g.
0, 1
Let g = 1673 - 1669. Let h(s) be the second derivative of 0*s**3 + 1/80*s**5 - 1/48*s**g - 14*s + 0 + 0*s**2. Determine r, given that h(r) = 0.
0, 1
Let m(u) be the second derivative of u**4/15 - 66*u**3/5 + 576*u**2/5 + 7856*u. Determine l so that m(l) = 0.
3, 96
Let l(y) be the third derivative of y**6/840 - y**5/30 + 11*y**4/168 + 13*y**3/21 + 854*y**2. Factor l(d).
(d - 13)*(d - 2)*(d + 1)/7
Let g(u) be the third derivative of -u**8/672 - 2*u**7/105 + u**6/16 + 27*u**5/20 - 9*u**4/4 - 54*u**3 + 12*u**2 - 16*u. Find b, given that g(b) = 0.
-6, -2, 3
Let y(q) = q**2 + 28*q + 46. Let l be y(-26). Let t be l/3 + 2 - (-12)/66. Factor -30/11*c**2 + 14/11*c**3 - t*c**4 + 18/11*c + 0.
-2*c*(c - 3)**2*(c - 1)/11
Suppose -2*c = -2*z - 56 - 2, 3*c - 89 = 5*z. Factor -205 - 32*q**2 - 204 + c*q**3 - 52*q + 417.
4*(q - 2)*(q + 1)*(7*q - 1)
Let x be (-10)/15*(-9)/2. Let g(m) be the first derivative of m**x + 7 + 8*m**2 - 3 - 5*m**2 + 3*m. Find d such that g(d) = 0.
-1
Let m(y) be the third derivative of y**5/360 - 5*y**4/12 + 59*y**3/36 + 2*y**2 - 99. Factor m(g).
(g - 59)*(g - 1)/6
Let n(v) be the second derivative of -v**4/4 - 266*v**3 + 1599*v**2/2 + 7620*v. Factor n(s).
-3*(s - 1)*(s + 533)
Let j(f) be the third derivative of 3/2*f**3 + 25/64*f**4 + 74*f**2 + 0*f + 1/160*f**5 + 0. Suppose j(d) = 0. Calculate d.
-24, -1
Suppose 0 = o - 4*h + 20, 124 = -4*o + 9*h - 4*h. Let k be (-6 - -3 - 3)/(o/8). Factor -1/3*x**2 + k - x.
-(x - 1)*(x + 4)/3
Let w(j) be the third derivative of -143/45*j**5 + j + 0*j**3 - 169/18*j**4 - 161*j**2 + 5/18*j**6 - 2/315*j**7 + 0. Suppose w(y) = 0. Calculate y.
-1, 0, 13
Factor 2*d**3 - 71*d + 68*d**2 + 2944548 - 2944530 + 2*d**3.
(d + 18)*(2*d - 1)**2
Let c(q) be the second derivative of q**4/60 + 283*q**3/15 + 80089*q**2/10 - 2*q - 27. What is y in c(y) = 0?
-283
Suppose 32554 = -39*a + 32632. Determine w, given that 0 - 200/19*w - 2/19*w**3 + 40/19*w**a = 0.
0, 10
Let s(m) be the second derivative of -1/2*m**3 - 17*m + 8 + 9/2*m**2 - 1/16*m**4. Find w, given that s(w) = 0.
-6, 2
Let b = -7460 + 3737459/501. Let f = 331/1503 - b. Solve -2/9*z**2 + 0 - f*z**3 + 2/9*z**4 + 2/9*z = 0 for z.
-1, 0, 1
Let f(g) be the third derivative of -g**6/90 + g**4/6 - 3*g**3 + 87*g**2. Let r(q) be the first derivative of f(q). Factor r(y).
-4*(y - 1)*(y + 1)
Let y be (2 + (-76)/14)/((-9120)/17024). Let -34/5*c + 2/5*c**2 + y = 0. Calculate c.
1, 16
Let c(f) = -6*f**2 - 2*f + 12. Let p(n) = -25*n**2 - 9*n + 46. Suppose 131 = 33*y - 166. Let h(g) = y*c(g) - 2*p(g). Factor h(r).
-4*(r - 2)*(r + 2)
Let t be 28 + 2834/(-117) - (-4)/18. Factor 0 + 0*c + 3/5*c**t - 3/5*c**2 + 0*c**3.
3*c**2*(c - 1)*(c + 1)/5
Let z(h) be the second derivative of -5*h**4/12 + 40*h**3 - 1190*h**2 + h - 1679. Factor z(c).
-5*(c - 34)*(c - 14)
Suppose 0 = -4*f + 4*p + 104, -3*f + 4*p + 336 - 260 = 0. Let s(o) be the second derivative of -1/2*o**4 + f*o + 0*o**2 - 1/3*o**3 + 0. Let s(k) = 0. What is k?
-1/3, 0
Let g(w) be the first derivative of -w**5/30 + 13*w**4/4 - 38*w**3/3 + 113*w**2/6 - 25*w/2 - 2865. Find i, given that g(i) = 0.
1, 75
Let 235 + 652 - 39 - 56 + 390*h - 3*h**2 = 0. What is h?
-2, 132
Let f(t) = -2*t**3 - 3*t**2 - 3*t - 7. Let p be f(-2). Let -171 - p*m**3 - 3*m**5 + 171 + 6*m**4 = 0. What is m?
0, 1
Suppose -15/4 - 1/4*q**3 + 17/4*q - 1/4*q**2 = 0. What is q?
-5, 1, 3
Determine s so that 12*s**4 + 3*s**5 - 6*s**5 + 29714*s**3 - 29723*s**3 = 0.
0, 1, 3
Let -2/11*c**2 + 488/11*c - 29768/11 = 0. Calculate c.
122
Suppose 34*n - 29*n + 5*q = -25, 6*n + q - 10 = 0. Suppose 15/4*g**4 - 1/2 - 13/4*g**2 + 17/4*g**n - 17/4*g = 0. What is g?
-1, -2/15, 1
Let w(o) = 100*o**3 - 1800*o**2 + 6840*o - 6755. Let y(p) = 17*p**3 - 300*p**2 + 1140*p - 1126. Let r(k) = 6*w(k) - 35*y(k). Find j, given that r(j) = 0.
2, 56
Let o(v) be the third derivative of v**5/60 - v**4/6 - 19*v**3 - 44*v**2 - 3*v. Let z be o(-9). Factor 4 - 9*q**2 + 6*q + 5/2*q**z.
(q - 2)**2*(5*q + 2)/2
Suppose -2*v - 2*m + 2 = 0, -57*v + 52*v + 4*m + 14 = 0. Find d such that 150*d**v - 21*d**2 - 100*d + 8*d**3 + 22*d - 5 - 19 - 35*d**3 = 0.
-2/9, 1, 4
Suppose -3*z = 5*c + 62 - 58, 3*z + c - 4 = 0. Let -1/4*j**4 + 3/2*j - 2*j**z + 9/4 - 3/2*j**3 = 0. Calculate j.
-3, -1, 1
Suppose 15 = 3*n + 4*b, 8 = 5*n - 2*b - 17. Suppose -9 = -n*g + 1. Factor 4/13 - 6/13*i + 2/13*i**g.
2*(i - 2)*(i - 1)/13
Let h(x) be the third derivative of -136/5*x**4 - 1/200*x**6 + 13/20*x**5 - x + 0 + 512/5*x**3 - x**2. Factor h(v).
-3*(v - 32)**2*(v - 1)/5
Let c(r) be the first derivative of -11*r**4 + 53 + 0*r**3 + 0*r**2 - 4/5*r**5 + 0*r. Factor c(o).
-4*o**3*(o + 11)
Factor 196*n + 270 - 638 - 69*n**2 + 180*n - 31*n**2 + 2*n**3.
2*(n - 46)*(n - 2)**2
Factor 1/3*m**2 + 0 - 265/3*m.
m*(m - 265)/3
Let o(p) be the first derivative of 0*p**2 - 51 + 0*p + 1/25*p**5 - 1/30*p**6 + 1/20*p**4 - 1/15*p**3. Solve o(b) = 0.
-1, 0, 1
Factor -29/3*k**2 + 0 + 28/3*k + 1/3*k**3.
k*(k - 28)*(k - 1)/3
Suppose 0 = -2*t - 4*m + 1 - 17, 0 = 3*m + 15. Factor -8 + 12*a**t + 4*a**3 - 60*a + 25*a + 31*a - 4*a**4.
-4*(a - 2)*(a - 1)*(a + 1)**2
Let h(o) = -24*o**2 - 90*o - 80. Let p(m) = -5*m**2 - 18*m - 16. Let j = 102 + -88. Let n(r) = j*p(r) - 3*h(r). Factor n(d).
2*(d + 1)*(d + 8)
Let h = 949 - 1689/2. Let k = h + -100. Let 9/2 - 12*w - 3*w**5 + 15*w**3 + 0*w**2 - k*w**4 = 0. What is w?
-3, -1, 1/2, 1
Solve -113/7*j + 25/7*j**3 + 3/7*j**4 - 30/7 - 61/7*j**2 = 0 for j.
-10, -1, -1/3, 3
Factor 8/7 + 2356/7*c - 2364/7*c**2.
-4*(c - 1)*(591*c + 2)/7
Factor 4/3*n**2 + 56/9*n - 196/9.
4*(n + 7)*(3*n - 7)/9
Let n = -106 - -93. Let x be (-47)/n - (9 - 5) - -1. Factor -4/13 - x*v**2 + 2/13*v**3 + 10/13*v.
2*(v - 2)*(v - 1)**2/13
Suppose 9*s - 32 = 40. Let n be 3*(-232)/(-72) - s. Factor 4/3*f**2 - 1/3*f**3 + 2/3 - n*f.
-(f - 2)*(f - 1)**2/3
Let h(y) be the third derivative of y**7/1260 - y**6/16 + 101*y**5/180 - y**4/2 - 80*y**3/9 + 3*y**2 - 312*y. Determine v so that h(v) = 0.
-1, 2, 4, 40
Suppose 0 = 2*q + 2*t - 10, 3*q - 2*t + 13 = 2*t. Let g(b) = b**3 - b**2 + 4*b - 2. Let f be g(q). Factor -22*m**f - 15*m - 23*m**2 + 37*m**3 - 2*m**3 + 25*m.
5*m*(m - 1)*(7*m - 2)
Let a(c) be the first derivative of 0*c - 1/5*c**5 + 1/3*c**3 + 52 - 3/4*c**4 + 3/2*c**2. Factor a(v).
-v*(v - 1)*(v + 1)*(v + 3)
Suppose -4*a = 3*h - 90, -5*h + 205 = 2*a + 41. Factor 8*f**2 - 21 - f**3 - 13 + h.
-f**2*(f - 8)
Let v(h) be the first derivative of 1/7*h**3 - 102/7*h + 45/14*h**2 - 110. Factor v(w).
3*(w - 2)*(w + 17)/7
Let d = 4956 + -4954. Let z(k) be the second derivative of 0 + 3/25*k**5 - 1/4*k**4 + 1/10*k**3 + 0*k**d - 21*k. Factor z(o).
3*o*(o - 1)*(4*o - 1)/5
Let m(f) = 14*f**5 + 30*f**4 - 59*f**3 - 297*f**2 + 126*f - 6. Let d(v) = -3*v**5 + v**4 + 2. Let w(t) = 3*d(t) + m(t). Determine h so that w(h) = 0.
-7, -3, 0, 2/5, 3
Let n(w) = 2*w**2 + 15*w - 7. Let v be n(-9). Let -142 + 240*f**4 - 86 - 270*f + 540*f**2 + v*f**5 + 570