 second derivative of 0 + 1250/3*i**4 + 3125000/3*i**2 + 250000/9*i**3 + 1/90*i**6 + 10/3*i**5 - 52*i. Let z(r) = 0. Calculate r.
-50
Suppose 0 - 372/5*i**2 + 0*i + 4/5*i**4 + 368/5*i**3 = 0. Calculate i.
-93, 0, 1
Solve -2*l**3 - 7913 + 7533 - 59*l**2 - 438*l - l**2 = 0 for l.
-19, -10, -1
Let l(i) = 248*i**3 - 218*i**2 + 12. Let k(o) = -253*o**3 + 219*o**2 - o - 14. Let s(y) = 12*k(y) + 14*l(y). Factor s(v).
4*v*(v - 1)*(109*v + 3)
Let c(j) be the first derivative of 3/2*j**3 + 21 + 1/2*j**4 - 3*j**2 - 22*j. Let u(r) be the first derivative of c(r). Factor u(n).
3*(n + 2)*(2*n - 1)
Let y be (-72)/(-10160)*(-3 + 1346/6). Let x = y + 4/127. Factor -x - 28/5*d**3 + 28/5*d + 8/5*d**2.
-4*(d - 1)*(d + 1)*(7*d - 2)/5
Let r be (-99)/44 - -2 - 14145/(-4). Factor r*c + 3543*c - 7075*c + c**2 - 5.
(c - 1)*(c + 5)
Let k be 17 + -14 + (61/1)/1. Solve -k*i - 94*i**2 + 13016 - 12976 + 6*i**3 + 4*i**3 = 0 for i.
-1, 2/5, 10
Let g be -1*596/12*3. Let s = 152 + g. Factor 0*v**s + 422*v**2 - 8*v - 4*v**3 - 410*v**2.
-4*v*(v - 2)*(v - 1)
Let x(c) be the first derivative of c**4/30 - 22*c**3/45 - 202*c**2/15 + 176*c/3 - 5885. Find t such that x(t) = 0.
-11, 2, 20
Determine y, given that 48*y**2 - 2*y**3 + 1235*y - 2*y**4 - 636*y - 671*y = 0.
-6, 0, 2, 3
Let y be ((32/40)/1)/((-2)/(-585)). Factor -31104*x - y*x**3 + 746496 + 432*x**2 + 461*x**3 - 229*x**3.
-2*(x - 72)**3
Let z = -16 + 20. Let m(u) = -u**3 + 3*u**2 + 6*u - 6. Let w be m(z). Find h, given that 21*h**4 + 4*h**w + 8*h**3 - 2*h**3 - 19*h**4 = 0.
-2, -1, 0
Let g(y) be the first derivative of 25*y**3/12 - 1395*y**2 + 1115*y + 952. Factor g(u).
5*(u - 446)*(5*u - 2)/4
Let w(i) be the first derivative of 0*i + 26 - 4/25*i**5 + 3/4*i**4 - 8/15*i**3 - 3/10*i**2. Factor w(g).
-g*(g - 3)*(g - 1)*(4*g + 1)/5
Suppose 1034*t - 4620 = -631*t - 519*t - 126*t. Suppose 54/7 - 12/7*k - 2/7*k**t = 0. What is k?
-9, 3
Suppose -199 = 8*w - 1199. Let l = w + -125. Factor s - 1/3*s**2 + l.
-s*(s - 3)/3
Let z be (-39)/(-2808)*-16 - 38/(-9). Suppose -6/17 - 6/17*q**z + 16/17*q**3 + 12/17*q**2 - 16/17*q = 0. What is q?
-1, -1/3, 1, 3
Let w be (-1 - (0 - 3))*(-28)/(-16)*(-100)/(-175). Suppose -189*c**w - 2744 + 1274*c - 1/4*c**4 + 23/2*c**3 = 0. What is c?
4, 14
Let q(b) = -b**2 + 559*b + 35790. Let y be q(-58). Find n such that -9*n**3 - 4/3*n - 8*n**2 + 0 + 3*n**5 + 2/3*n**y = 0.
-1, -2/9, 0, 2
Let b be (-15)/(-6) - 952/448. Let n(v) be the third derivative of b*v**4 - 3/40*v**6 - 1/70*v**7 + 1/20*v**5 + 0*v**3 - 8*v**2 + 0 + 0*v. Factor n(p).
-3*p*(p - 1)*(p + 1)*(p + 3)
Let a(l) be the first derivative of -l**6/135 + l**5/10 + 5*l**4/18 - 2*l**3/3 - 5*l + 55. Let t(q) be the third derivative of a(q). Factor t(r).
-4*(r - 5)*(2*r + 1)/3
Suppose -40 + 36501*q**2 + 36502*q**2 - 44*q - 73007*q**2 = 0. What is q?
-10, -1
Let j(w) be the third derivative of w**5/30 + 11*w**4/4 + 116*w**3/3 + 123*w**2. Factor j(g).
2*(g + 4)*(g + 29)
Let p(r) be the first derivative of -25/3*r**3 - 330*r**2 - 260*r + 37. Find o, given that p(o) = 0.
-26, -2/5
Let d(i) = 4*i**4 + 382*i**3 + 2226*i**2 + 3264*i + 18. Let c(y) = -y**3 + y**2 - 2*y + 3. Let u(n) = 6*c(n) - d(n). Factor u(v).
-4*v*(v + 3)**2*(v + 91)
Let v(z) = 15*z + 4*z**3 + z**2 + 2*z + 12 + z**3 + 9*z. Let g(b) = -2*b**3 + b**2 - 1. Let d(l) = 4*g(l) + v(l). Find x such that d(x) = 0.
-2, -1/3, 4
Determine m so that 12*m + 4/7*m**2 - 3*m**3 + 0 - 1/7*m**4 = 0.
-21, -2, 0, 2
Let f = -177 - -179. Solve 0*p**2 + 8*p - 4*p**2 - 4*p**f + 3 + 5*p**2 = 0 for p.
-1/3, 3
Let f = -6914 - -48257/7. Let l = 153/7 + f. Factor -6/7*g**2 - l*g**3 + 27/7 + 3/7*g**4 + 36/7*g.
3*(g - 3)**2*(g + 1)**2/7
Let c be ((-72)/14 + 6)*(-28)/(-6). Factor -c*p**3 - 8*p**2 - 5*p + 2*p - 6*p + 5*p.
-4*p*(p + 1)**2
Factor 24/5*a**2 - 34/5*a - 12 - 2/5*a**3.
-2*(a - 10)*(a - 3)*(a + 1)/5
Suppose 28*x + 46*x + 4 + 8*x - 4 + x**3 - 43*x**2 = 0. Calculate x.
0, 2, 41
Suppose 0 = -5*l - 2*b + 107, -4*l + 4*b = -7*l + 53. Suppose 36 = -11*h + l*h. Factor -6*r**h + 0*r + 14/5*r**4 + 18/5*r**2 - 2/5*r**5 + 0.
-2*r**2*(r - 3)**2*(r - 1)/5
Let o(y) be the third derivative of y**7/1050 - y**6/450 + 13*y**3/2 + 10*y**2 - 2. Let u(z) be the first derivative of o(z). What is b in u(b) = 0?
0, 1
Solve o**2 + 1509*o - 1509*o - o**4 = 0.
-1, 0, 1
Solve 0*i + 0 + 3/4*i**4 + 15*i**2 - 129/8*i**3 + 3/8*i**5 = 0 for i.
-8, 0, 1, 5
Let a(t) be the first derivative of -t**3/18 + 17*t**2/6 + 112*t + 14311. Factor a(g).
-(g - 48)*(g + 14)/6
Let m(r) be the second derivative of 1/70*r**7 + 0 + 1/10*r**6 - 1/20*r**4 - 4/5*r**3 + 21/100*r**5 - 6/5*r**2 + 16*r. Suppose m(c) = 0. Calculate c.
-2, -1, 1
Let l = -25558 - -25561. Factor 1/10*v**2 - 1/10*v**4 + 0 - 3/10*v + 3/10*v**l.
-v*(v - 3)*(v - 1)*(v + 1)/10
Let s(t) = 2*t**2 + 1. Let k(p) = -7*p**2 - 6*p + 5. Let c = 411 + -406. Let z(f) = c*k(f) + 20*s(f). Factor z(q).
5*(q - 3)**2
Suppose -3*a + q = -14, -13 = -2*a + a + 2*q. Factor r**a - 53*r**5 + 49*r**5 - 13*r**3 - 4*r**2 - 12*r**4.
-4*r**2*(r + 1)**3
Let v be ((-1874)/(-10307))/(-1 + 28/22). Let u(z) be the first derivative of 6*z - 2*z**2 + 8 - v*z**3. Factor u(l).
-2*(l - 1)*(l + 3)
Let -268/21*t - 398/21*t**2 + 0 + 2/21*t**4 - 128/21*t**3 = 0. Calculate t.
-2, -1, 0, 67
Let z(q) = 16*q**3 + 1969*q**2 - 240091*q - 242074. Let f(r) = -36*r**3 - 3939*r**2 + 480181*r + 484150. Let w(l) = -5*f(l) - 11*z(l). Factor w(p).
4*(p - 246)**2*(p + 1)
Suppose -2*a = -23 - 27. Suppose -2*p - a = -7*p. Suppose 4 + o**2 + 3*o**2 + 3*o**p + 10*o - 8*o**3 - 5*o**5 - 8*o**4 = 0. What is o?
-2, -1, 1
Suppose 725 = 17*o + 249. Determine u so that -o*u - 2*u**3 + 20*u**2 - 11*u + 7*u + 0*u**3 = 0.
0, 2, 8
Let g = 5705 - 11405/2. Let a(q) be the second derivative of 0 - 2*q**5 + 5/2*q**4 + 8*q + 0*q**3 - g*q**2 + 1/2*q**6. Determine b so that a(b) = 0.
-1/3, 1
Let 2/15*j**5 - 54/5*j - 16/3 + 32/3*j**3 + 28/5*j**4 - 4/15*j**2 = 0. What is j?
-40, -1, 1
Let n(t) be the first derivative of 27/4*t**2 + 13*t - 154 + 1/6*t**3. Find l, given that n(l) = 0.
-26, -1
Factor 170121*g**2 - 275*g**3 - 180*g - 36*g + 28*g**4 - 169659*g**2 + g**5.
g*(g - 6)*(g - 1)**2*(g + 36)
Let g = 49209/4 - 12302. Let i(x) be the first derivative of -12 - 1/4*x + 1/20*x**5 + 1/8*x**4 - g*x**2 + 0*x**3. Factor i(j).
(j - 1)*(j + 1)**3/4
Let b(s) be the third derivative of -s**6/480 - 29*s**5/360 - 229*s**4/288 - 35*s**3/36 - 2095*s**2. Determine d so that b(d) = 0.
-14, -5, -1/3
Let m(u) be the second derivative of -u**6/30 - 9*u**5/5 + 155*u**4/12 - 33*u**3 + 40*u**2 + 4228*u. Find r, given that m(r) = 0.
-40, 1, 2
Let m(g) be the first derivative of -2*g**5/65 - 73*g**4/26 - 22*g**3/3 - 71*g**2/13 - 712. Factor m(h).
-2*h*(h + 1)**2*(h + 71)/13
Let j(k) be the second derivative of 1 + 16*k + 1/165*k**6 + 0*k**2 + 0*k**4 + 0*k**3 - 7/55*k**5. Determine q, given that j(q) = 0.
0, 14
Let w be 2/4*(-6 - -10). Suppose w*k = 17 - 11. Factor 0*m**2 + m**5 - 3*m**3 - 3*m**k + 2*m**4 - 2*m**2 + 5*m**3.
m**2*(m - 1)*(m + 1)*(m + 2)
Let z(m) be the first derivative of m**4 - 164*m**3/3 + 62. Factor z(c).
4*c**2*(c - 41)
Let h(y) = 13*y**3 - 112*y**2 - 263*y + 955. Let x(p) = -5*p**3 + 55*p**2 + 132*p - 478. Let n(c) = 6*h(c) + 15*x(c). Factor n(j).
3*(j - 2)*(j + 5)*(j + 48)
Let n(w) be the first derivative of 2*w**5/45 + w**4/3 - 2*w**3/27 - 2*w**2/3 - 3535. Factor n(s).
2*s*(s - 1)*(s + 1)*(s + 6)/9
Let t(k) be the third derivative of k**6/1260 - k**5/28 + k**4/6 - 215*k**3/6 + 8*k**2 - 18. Let q(i) be the first derivative of t(i). Solve q(p) = 0.
1, 14
Let m(z) be the second derivative of 1/4*z**3 - 91*z + 9*z**2 - 1/60*z**6 - 23/24*z**4 + 0 + 9/40*z**5. What is q in m(q) = 0?
-1, 3, 4
Let y(j) be the third derivative of -1/1344*j**8 + 0 + 7/160*j**6 + 0*j - 142*j**2 + 1/168*j**7 + 23/240*j**5 + 1/12*j**4 + 0*j**3. Factor y(b).
-b*(b - 8)*(b + 1)**3/4
Let n be 22 + -1 + 4/8*0. Let w be (0/(-1) + 2)/(3/n). Let -39*t**2 - 3*t**4 + 2 + 29*t - 14 + w*t**3 + 7*t + 4*t**3 = 0. Calculate t.
1, 2
Suppose -4*n = -4*a - 24, 0 = 5*n + 4*a - 20 - 55. Suppose 3*z + 46*p - 41*p = 31, -5 = -p. Determine w, given that -n*w - 1/2*w**z - 121/2 = 0.
-11
Let x(g) be the first derivative of g**5/6 + 2*g**4 + 20*g**3/3 + 16*g**2/3 - 8*g - 630. Let x(y) = 0. What is y?
-6, -2, 2/5
Suppose 2*f - 2*l = 0,