10/3*d**3 - 6*d + 7/3*d**2 + 1/3*d**4 + 0.
d*(d - 1)*(d + 2)*(d + 9)/3
Let d(j) be the first derivative of 0*j + 0*j**2 + 4/5*j**5 - 187 - 2/3*j**6 + 4*j**4 - 16/3*j**3. Suppose d(g) = 0. Calculate g.
-2, 0, 1, 2
Let q(r) be the second derivative of -r**7/3 - 20*r**6/3 + 679*r**5/10 + 500*r**4/3 + 76*r**3 + 6*r + 567. Find k such that q(k) = 0.
-19, -1, -2/7, 0, 6
Let d = 3012 - 3008. Let m(l) be the second derivative of 1/3*l**d - 1/5*l**5 + 0*l**3 + 0 + 9*l + 0*l**2. Let m(s) = 0. Calculate s.
0, 1
Let t(l) = -l**3 + 24*l**2 - 24*l. Let q(j) = 3*j**3 - 60*j**2 + 60*j. Let d = -100 - -95. Let k(n) = d*q(n) - 12*t(n). Factor k(w).
-3*w*(w - 2)**2
Let k(x) be the second derivative of 25*x - 9/5*x**2 + 0 - 2/5*x**3 - 1/30*x**4. Factor k(i).
-2*(i + 3)**2/5
Let b be 2/(-30) + (-456)/(-90). Let r(t) = -9*t**2 - 285*t - 7503. Let s(a) = -16*a**2 - 575*a - 15005. Let u(f) = b*r(f) - 3*s(f). Factor u(q).
3*(q + 50)**2
Let w be (-5)/((-15)/(-45)*15*(-5)/15). Factor -5*f - 1/7*f**w - 11/7*f**2 - 25/7.
-(f + 1)*(f + 5)**2/7
Let q(y) be the first derivative of 5*y**3/3 + 3435*y**2 + 2359845*y + 1835. Solve q(p) = 0.
-687
Let j(m) be the first derivative of m**5/180 + 13*m**4/72 - 7*m**3/9 - 3*m**2 + 4*m - 15. Let q(t) be the second derivative of j(t). Find s such that q(s) = 0.
-14, 1
Suppose 22*m + 155 = 53*m. Let n(l) be the first derivative of 6/5*l**m + 0*l**2 + 0*l - 21/16*l**4 + 8 - 3/8*l**6 + 1/2*l**3. Factor n(t).
-3*t**2*(t - 1)**2*(3*t - 2)/4
Let z be (-792)/968*4096/3. Let o = z + 1119. Suppose o*k + 8/11*k**2 + 18/11 + 1/11*k**3 = 0. Calculate k.
-3, -2
Let i = -418 + 428. Let u be (-54)/i + (-19 - -25). Factor 6/5*j**2 + 0 - u*j**3 - 3/5*j.
-3*j*(j - 1)**2/5
Let o(f) be the first derivative of -f**4/3 + 7*f**3/3 + 17*f**2/2 - 14*f/3 + 1462. Factor o(d).
-(d - 7)*(d + 2)*(4*d - 1)/3
Suppose 86*w - 1005 = 71*w. Let 538*c**5 + 20*c + 21*c**2 - 17*c**3 + 202*c**3 + w*c**5 + 93*c**2 + 66*c**2 - 990*c**4 = 0. Calculate c.
-2/11, 0, 1
Let z be 14/35 + -1*(-1032)/20. Let d be 403/z + 7/(-1). Let d*a**4 + 15/4*a**2 - 3*a**3 + 0 - 3/2*a = 0. Calculate a.
0, 1, 2
Determine a, given that 515*a**2 + 505*a**2 + 510*a**2 - 3992*a - 1531*a**2 - 3984016 = 0.
-1996
Let a(u) be the third derivative of 2*u + 0 - 1/140*u**6 - 1/70*u**5 - 1/735*u**7 + 0*u**3 + u**2 - 1/84*u**4. Determine j, given that a(j) = 0.
-1, 0
Let a(s) be the first derivative of 1/10*s**5 + 0*s**3 + 6*s + 0*s**4 - 10 + 0*s**2. Let v(q) be the first derivative of a(q). Factor v(f).
2*f**3
Factor 1/4*u**2 + 1/4*u**3 + 0*u - 1/4*u**4 - 1/4*u**5 + 0.
-u**2*(u - 1)*(u + 1)**2/4
Let i(m) = -m**2 - 2765*m - 16549. Let x be i(-6). Let d(b) be the third derivative of 3*b - 6*b**2 - 7/48*b**4 + 1/120*b**x + 0 + 1/2*b**3. Factor d(c).
(c - 6)*(c - 1)/2
Let w = 177202 + -177200. Suppose 0 + 2/11*g**3 + 18/11*g + 12/11*g**w = 0. Calculate g.
-3, 0
Let m(b) = 9*b**2 + 430*b + 9249. Suppose 178 = -5*z + x, -3*z - 4*x - 128 = z. Let q(i) = -80*i**2 - 3870*i - 83240. Let k(v) = z*m(v) - 4*q(v). Factor k(t).
5*(t + 43)**2
Factor 0*t + 0*t**2 + 2888/3*t**3 + 2/3*t**5 - 152/3*t**4 + 0.
2*t**3*(t - 38)**2/3
Find h such that -28/9 + 2/9*h**5 - 56/9*h**3 + 6*h + 8/3*h**4 + 4/9*h**2 = 0.
-14, -1, 1
Suppose -4 + 300 = j - 5*i, -2*j + i + 628 = 0. Solve -4*w**2 - j*w + 316*w + 4*w**3 = 0.
0, 1
Let 1/3*i**4 + 280/3*i - 25*i**2 - 10/3*i**3 - 196/3 = 0. Calculate i.
-7, 1, 2, 14
Let g(v) = 16*v - 136. Let f be g(9). Let m be 56/45 + (-28)/35. Determine b, given that -36 - m*b**2 + f*b = 0.
9
Factor -25*a - 1 - 49/4*a**2.
-(a + 2)*(49*a + 2)/4
Let w(x) be the first derivative of -x**5/20 - 15*x**4/8 - 75*x**3/4 + 93. Factor w(l).
-l**2*(l + 15)**2/4
Let d(g) be the second derivative of -g**4/4 + 257*g**3/2 + 387*g**2 + 242*g + 1. Solve d(r) = 0.
-1, 258
Let g(t) be the second derivative of -7*t**6/15 + 67*t**5/20 - 97*t**4/12 + 16*t**3/3 + 6*t**2 + 365*t. Determine q so that g(q) = 0.
-3/14, 1, 2
Let l = -1533 - -1424. Let z = l - -1241/11. Suppose 6/11*u**2 - 48/11 - z*u = 0. Calculate u.
-1, 8
Let x = -4010 + 4010. Let y(l) be the second derivative of 0 - 1/39*l**3 + x*l**2 + 4*l + 1/78*l**4. Factor y(o).
2*o*(o - 1)/13
Suppose 21 = -2*l + 9*l. Suppose -5*i = -2*x - l*i + 2, -15 = -5*x + 3*i. Find m such that 4*m**3 + m**2 + 8*m**4 - 5*m**2 - 10*m**5 + x*m**5 - 4*m**2 = 0.
-1, 0, 1, 2
Find x, given that 23*x**2 - 83801*x**3 - 831*x - 792 + 83804*x**3 - 59*x**2 = 0.
-11, -1, 24
Solve 358*i + 96*i**2 + 457*i - 3*i**3 - 812*i - 96 = 0.
-1, 1, 32
Let a(w) = 5*w**3 - 325*w**2 + 3966*w + 45360. Let f(u) = 30*u**3 - 1950*u**2 + 23794*u + 272160. Let b(s) = -17*a(s) + 3*f(s). Find d such that b(d) = 0.
-7, 36
Suppose -5*a + 2*z + 388 = 0, -11*z = -13*z - 8. Suppose a*v = 31*v + 35*v. Factor -1/5*d**2 - 1/5*d + v.
-d*(d + 1)/5
Let c(d) be the first derivative of -39 - 1/66*d**5 + 3/44*d**4 - 17/3*d**3 + 1/1980*d**6 + 0*d**2 + 0*d. Let s(b) be the third derivative of c(b). Factor s(f).
2*(f - 9)*(f - 1)/11
Let n(i) be the second derivative of 0*i**4 - 2/15*i**6 + 4/3*i**3 + 0 + 2*i**2 - 2/5*i**5 + 112*i. Find t, given that n(t) = 0.
-1, 1
Let l = 46671 - 793397/17. Factor -l*h - 2/17*h**2 + 0.
-2*h*(h + 5)/17
Let l be 5/(-10)*16*149/4. Let k = 899/3 + l. Factor -5/3*y**2 - k*y**3 + 0 + 10/3*y.
-5*y*(y - 1)*(y + 2)/3
Let p(h) be the second derivative of h**7/42 + h**6/30 - h**5/10 - 3*h + 40. Factor p(a).
a**3*(a - 1)*(a + 2)
Suppose -22*d - 29*d + 102 = 0. Let r(q) be the first derivative of 4/9*q**3 + 0*q + 12 - d*q**2. What is x in r(x) = 0?
0, 3
Let h(k) be the first derivative of -5*k**6/6 - 32*k**5 - 425*k**4/4 + 350*k**3/3 + 890*k**2 + 1160*k + 387. What is d in h(d) = 0?
-29, -2, -1, 2
Let f(c) be the second derivative of c**5/180 - 11*c**4/108 - 47*c**3/27 + 112*c**2/9 - 707*c + 2. Factor f(a).
(a - 16)*(a - 2)*(a + 7)/9
Factor 24*v**2 + 19*v**2 + 20*v**2 - 2496*v + 778752 - 79*v**2 + 18*v**2.
2*(v - 624)**2
Factor 1332*h**2 - 1850*h - 336*h**3 + 102*h**3 + 3*h**4 - 319*h + 748 + 980 - 447*h.
3*(h - 72)*(h - 2)**3
Let p be (((-864)/40)/(-6))/((-6)/(-5)). Factor 242/3*l + 0 + 2/3*l**p + 44/3*l**2.
2*l*(l + 11)**2/3
Let q(v) be the first derivative of -2*v**3/51 + 1256*v**2/17 - 788768*v/17 + 1366. Factor q(r).
-2*(r - 628)**2/17
Solve 900*i + 48*i**2 + 5000 + 4/5*i**3 = 0 for i.
-25, -10
Factor 122 - 1/6*g**2 - 179/6*g.
-(g - 4)*(g + 183)/6
Let o(d) be the third derivative of d**7/630 + 13*d**6/15 - 313*d**5/180 + 3055*d**2. Find q, given that o(q) = 0.
-313, 0, 1
Let y = -7/1875 - -9389/3750. Find g such that -2 - 1/2*g**4 + 1/4*g**5 - 5/4*g**3 + g + y*g**2 = 0.
-2, -1, 1, 2
Let q(b) be the third derivative of -b**6/40 - b**5/10 + 13*b**4 - 96*b**3 + 2*b**2 - 79*b + 46. Factor q(s).
-3*(s - 8)*(s - 2)*(s + 12)
Let x(n) = -n**2 - 32*n + 7. Let u be x(-32). Suppose 0 = -22*o - u*o - 4*o. Factor -4*g**4 + 0*g + o + 4/3*g**5 + 0*g**2 + 8/3*g**3.
4*g**3*(g - 2)*(g - 1)/3
Let w(c) be the third derivative of 3/7*c**7 + 0*c + 5 - 49/24*c**6 + 10/3*c**4 + 19/12*c**5 - 10/3*c**3 + 2*c**2. Solve w(u) = 0.
-1/2, 2/9, 1, 2
Suppose 26*z - 22*z + 6*x - x - 42 = 0, -4*z = -2*x. Suppose 4 + 2/9*q**z - 2/3*q - 8/9*q**2 = 0. What is q?
-2, 3
Let p(h) = -2*h**2 + 15*h - 25. Suppose 3*k = 34*i - 36*i + 3, -5*i - 5*k + 10 = 0. Let c be p(i). Factor 3/4*r**3 - 3/4*r - 1/4*r**c + 1/2 - 1/4*r**4.
-(r - 2)*(r - 1)**2*(r + 1)/4
Determine r so that 114/5 - 112/5*r - 2/5*r**2 = 0.
-57, 1
Let q(l) be the first derivative of -16*l + 1/3*l**4 - 4*l**3 + 40/3*l**2 - 22. Factor q(f).
4*(f - 6)*(f - 2)*(f - 1)/3
Let y(i) be the first derivative of -3/2*i**4 - 39 - 12*i + 3/5*i**5 + 12*i**2 - 3*i**3. Find z, given that y(z) = 0.
-2, 1, 2
Let f = -20089 + 20091. Factor 1/2*o**f + 0 - 13/2*o.
o*(o - 13)/2
Factor -2/3*l**2 + 0*l - 2/9*l**5 - 2/9*l**4 + 10/9*l**3 + 0.
-2*l**2*(l - 1)**2*(l + 3)/9
Let i(k) = -k - 1. Let f(w) = 5*w**2 + 16*w + 11. Suppose 43 - 41 = -2*q. Let a(l) = q*i(l) - f(l). Suppose a(x) = 0. What is x?
-2, -1
Let d(v) be the third derivative of v**8/252 + v**7/15 + 67*v**6/180 + 14*v**5/15 + v**4 - 19*v**2 - 90. Find x, given that d(x) = 0.
-6, -2, -3/2, -1, 0
Let g(w) be the first derivative of -w**5/70 - 11*w**4/84 - 2*w**3/7 - w**2 - 69*w - 24. Let i(z) be the second derivative of g(z). Factor i(o).
-2*(o + 3)*(3*o + 2)/7
Let z(h