26/3 - 9*w - 1/3*w**2.
-(w + 1)*(w + 26)/3
Let n(i) be the first derivative of i**4/3 - 4*i**3 + 10*i**2 - 28*i/3 - 14. Solve n(f) = 0.
1, 7
Let j(r) be the second derivative of -13*r**4/3 + 152*r**3/9 + 8*r**2/3 - 13*r + 1. Factor j(g).
-4*(g - 2)*(39*g + 2)/3
What is m in 825/2*m**2 + 5/4*m**4 + 10625/4 + 1750*m + 40*m**3 = 0?
-17, -5
Let r(w) be the second derivative of w**4/12 - 10*w**3/3 + 50*w**2 - 33*w + 3. Suppose r(x) = 0. Calculate x.
10
Let -18/7*s**3 - 36/7*s**2 + 0 - 3/7*s**4 - 24/7*s = 0. What is s?
-2, 0
Let x be 13 - (-8)/(-20)*(30 - 5). Factor 72/5*f - 12/5*f**2 + 2/15*f**x - 144/5.
2*(f - 6)**3/15
Suppose 0 = -0*j - 0*j - 11*j. Let y(d) be the second derivative of -1/9*d**3 - d + j - 1/6*d**2 - 1/36*d**4. Determine z, given that y(z) = 0.
-1
Let n(y) = y**3 - 19*y**2 + 17*y + 21. Let v be n(18). Determine c so that -2*c**v + 12*c**2 - 2*c**4 - 11*c**3 - 4*c + c**3 + 6*c**4 = 0.
0, 1
Let 3/7*s**2 + 0 + 1/7*s**5 - 2/7*s + 1/7*s**3 - 3/7*s**4 = 0. What is s?
-1, 0, 1, 2
Let c(f) = -f**2 - 16*f - 13. Let m(i) = i**2 + 11*i + 9. Let t(d) = 5*c(d) + 7*m(d). Find s, given that t(s) = 0.
-1/2, 2
Factor -2/9*o**2 - 4/3*o + 14/9.
-2*(o - 1)*(o + 7)/9
Determine d, given that -40 - 8*d**2 + 4*d**2 - 25*d - 10*d - d**2 + 10*d**2 = 0.
-1, 8
Suppose 0 = 4*p + 2 - 18. Factor -3*t**2 - 3*t**3 + 3*t**3 - 3*t**p + 6*t**2.
-3*t**2*(t - 1)*(t + 1)
Factor -61*h**4 + 400 - 460*h + 57*h**4 + 14*h**2 - 12*h**2 + 28*h**3 + 34*h**2.
-4*(h - 5)**2*(h - 1)*(h + 4)
Let r(v) be the first derivative of 0*v**6 + 0*v**4 - 1/5*v**5 - 3*v - 5 + 1/21*v**7 + 1/3*v**3 + 0*v**2. Let q(j) be the first derivative of r(j). Factor q(y).
2*y*(y - 1)**2*(y + 1)**2
Let f be (560/(-12))/(-10) + 1/3. Suppose 4*p - 2*n + 13 = f, 16 = 4*p + 4*n. Factor p - 4/7*w - 2/7*w**2.
-2*w*(w + 2)/7
Let p = 322 - 317. Let z(l) be the third derivative of 0 + 12*l**2 - 1/60*l**6 + 1/90*l**p + 5/72*l**4 + 1/1008*l**8 + 1/630*l**7 - 1/6*l**3 + 0*l. Factor z(a).
(a - 1)**3*(a + 1)*(a + 3)/3
Suppose -43 = -10*l + 7. Let p(i) be the first derivative of 1/4*i**4 + 1/2*i + 5/8*i**2 - 11/12*i**3 - l. Suppose p(o) = 0. Calculate o.
-1/4, 1, 2
Let t(g) be the third derivative of 1/4*g**4 - 1/20*g**6 - 8*g**2 - 1/140*g**7 - 3/40*g**5 + 0*g + 0 + g**3. Find n, given that t(n) = 0.
-2, -1, 1
Let c(u) = -47*u**2 + 573*u + 625. Let j(d) = -d**3 + 2*d**2 - 2*d. Let s(t) = 3*c(t) - 3*j(t). Factor s(z).
3*(z - 25)**2*(z + 1)
Let t(i) = 2*i**2 + 10*i - 8. Let h be t(-6). Let v(q) be the third derivative of 0 - 1/100*q**5 + 0*q**3 + 0*q - 1/40*q**h - 5*q**2. Solve v(s) = 0 for s.
-1, 0
Let k be 4/3 + 139/(-210). Let b = -1/14 + k. Let -1/5*t**2 - 2/5 - b*t = 0. What is t?
-2, -1
Factor 417*z**3 + 321*z**4 + 72*z**2 + 8*z**2 + 45*z**5 - 81*z**4 - 157*z**3.
5*z**2*(z + 4)*(3*z + 2)**2
Suppose 0 = -2*c + 6*c - 4*u + 4, 2*c = -2*u + 6. Let a be 1/4*8 - (c - -1). Factor 0*m + 0 + a*m**3 - 8/11*m**2 + 2/11*m**4.
2*m**2*(m - 2)*(m + 2)/11
Let l(t) be the second derivative of t**5/5 - t**3/6 - 2*t. Let r be l(1). Let 0*d + 5*d - r*d - 2*d**2 + 4 = 0. What is d?
-1, 2
Suppose -3*c = -3*l, -25 = 36*c - 41*c. Solve 16/15*u**3 - 2/3*u**2 + 2/5*u**4 - 4/15*u**l - 8/5*u - 8/15 = 0 for u.
-1, -1/2, 2
Let l(u) = u. Let m be l(5). Suppose m*i - 20 = 120. Find f such that -37*f**3 - f**3 - 22*f**3 - 4*f + i*f**2 + 36*f**4 = 0.
0, 1/3, 1
Let j(p) be the third derivative of p**8/840 - p**7/210 + p**6/180 - p**3/2 + 2*p**2. Let y(f) be the first derivative of j(f). Factor y(v).
2*v**2*(v - 1)**2
Suppose -2*i + 868 = -6*i. Let a = 217 + i. Factor -2/5 + 1/5*g**3 - 3/5*g + a*g**2.
(g - 2)*(g + 1)**2/5
Let v(s) = -10*s - 146. Let w be v(-15). Let l = -3 - -3. Solve -1/2*k**5 - 1/2*k**w + 1/2*k**2 + 0 + l*k + 1/2*k**3 = 0.
-1, 0, 1
Factor 0 + 2/13*h**3 - 6/13*h**2 + 4/13*h.
2*h*(h - 2)*(h - 1)/13
Let c(k) be the third derivative of -k**7/504 + k**6/144 + k**4/8 + 22*k**2 + k. Let d(o) be the second derivative of c(o). Factor d(i).
-5*i*(i - 1)
Let a = 37 - 35. Let g(f) be the third derivative of 0 + f**a + 0*f**3 + 0*f**6 + 1/210*f**7 - 1/60*f**5 + 0*f**4 + 0*f. Factor g(s).
s**2*(s - 1)*(s + 1)
Suppose 5*u - 25 = -0*w - w, 0 = -u + 2*w + 5. Let p(o) = 2*o - 7. Let a be p(u). Factor 34*h**2 + 1 + 17 + 30*h - 20*h**2 + 2*h**a.
2*(h + 1)*(h + 3)**2
Let l be 1/(-3) - (1509/144 + -11). Let a(o) be the third derivative of 0*o**3 - 2*o**2 + 0*o + 0 + l*o**4 + 1/40*o**5. Find q, given that a(q) = 0.
-3, 0
Let d(z) = 29*z**2 + 11*z + 20. Let u(h) = 10*h**2 + 4*h + 7. Let s(t) = 6*d(t) - 17*u(t). Let y(a) = -3*a**2 + a. Let b(i) = 2*s(i) + 3*y(i). Factor b(q).
-(q - 1)*(q + 2)
Let d be (-3 - 7/(-2))/((-4)/8). Let q be (d - -1)*(-1)/(-3). Determine u so that -4/3*u**2 + 1/3*u**4 + q - 2/3*u**3 + 8/3*u = 0.
-2, 0, 2
Let w(l) be the first derivative of l**4/30 + 2*l**3/45 - 2*l**2/15 + 92. Factor w(u).
2*u*(u - 1)*(u + 2)/15
Let d be (-6)/(-18)*((-1497)/(-1506) + -1). Let b = d - -4021/2510. Factor 2*u + 2/5*u**3 - b*u**2 - 4/5.
2*(u - 2)*(u - 1)**2/5
Let i(r) be the third derivative of -r**8/840 - 2*r**7/525 + r**6/75 + 4*r**5/75 - 262*r**2. Factor i(b).
-2*b**2*(b - 2)*(b + 2)**2/5
Let q be ((-87)/(-24) - 1) + (-15)/(-40). Let c(z) be the third derivative of 1/20*z**5 + 2/3*z**q + 1/24*z**6 + 0*z - 1/2*z**4 + 3*z**2 + 0. Solve c(d) = 0.
-2, 2/5, 1
Let r(g) be the second derivative of g**9/7560 + g**8/1400 + g**7/700 + g**6/900 + 11*g**3/3 + 8*g. Let m(z) be the second derivative of r(z). Factor m(v).
2*v**2*(v + 1)**3/5
Let w(d) = 2*d**2 - 2*d - 4. Let s(i) = i**2 + i. Let q(t) = -4*t**2 - 4*t. Let b(z) = -q(z) - 3*s(z). Let y(h) = 10*b(h) + w(h). Factor y(o).
4*(o + 1)*(3*o - 1)
Let w(c) be the second derivative of -2*c**7/105 + 2*c**6/75 + c**5/5 - c**4/15 - 16*c**3/15 - 8*c**2/5 + 4*c - 48. Factor w(v).
-4*(v - 2)**2*(v + 1)**3/5
Suppose -3/5*b**2 - 123/5*b + 126/5 = 0. Calculate b.
-42, 1
Let s = 1/411 + 3283/2055. Let j be (-32)/8*(-1)/2. Factor 2/5*d**3 + 8/5*d**j + 0 + s*d.
2*d*(d + 2)**2/5
Let t = -177 + 177. Let a(k) be the first derivative of -k**2 + k**4 - 1/3*k**6 + 0*k + 1 + t*k**5 + 0*k**3. Find u, given that a(u) = 0.
-1, 0, 1
Let v(d) be the second derivative of -d**4/18 + 29*d**3/9 + 93*d. Factor v(n).
-2*n*(n - 29)/3
Let 24/7*t - 10/7*t**5 + 44/7*t**4 + 0 - 8*t**2 - 26/7*t**3 = 0. Calculate t.
-1, 0, 2/5, 2, 3
Let f(h) be the third derivative of -h**6/60 - 3*h**5/5 - 27*h**4/4 - 27*h**2. Factor f(z).
-2*z*(z + 9)**2
Let j = 43 + -20. Let d = j - 21. Determine z so that 2/5*z**d + 0*z + 0*z**3 + 0 - 2/5*z**4 = 0.
-1, 0, 1
Let s(g) be the second derivative of 1/18*g**4 + 0 + 4*g + 1/180*g**5 + 1/6*g**3 - 9/2*g**2. Let p(x) be the first derivative of s(x). Solve p(a) = 0.
-3, -1
Let j(d) be the second derivative of -d**5/40 + d**4/6 + 7*d**3/3 + 8*d**2 - 20*d + 1. Let j(v) = 0. What is v?
-2, 8
Factor 2/5*k**3 - 72/5 - 6*k + 4/5*k**2.
2*(k - 4)*(k + 3)**2/5
Let m be (3/2)/((-9)/(-24)). Let g(l) = -3*l**2 + 8*l + 36. Let k(t) = 2*t**2 - 9*t - 36. Let o(f) = m*k(f) + 3*g(f). Factor o(v).
-(v + 6)**2
Find f such that -7824/7*f**3 - 96/7*f**4 - 10086/7 - 157446/7*f**2 + 80196/7*f = 0.
-41, 1/4
Let q(s) = -22*s + 817. Let c be q(37). Factor 1/4*o**c + 0 - 1/2*o**2 + 1/4*o.
o*(o - 1)**2/4
Let b = -38 - -58. Let -40*f**2 - 20*f**4 + 0*f**3 - 15*f + b*f**3 + 66*f**3 - 11*f**3 = 0. What is f?
-1/4, 0, 1, 3
Let 105*w**3 + 500*w + 113*w**4 - 57*w**4 - 51*w**4 - 480*w**2 = 0. What is w?
-25, 0, 2
Let x be ((-280)/(-12))/(1/3). Let v be (4/28 - 1)*x/(-25). What is n in -v*n**2 - 8/5 - 2/5*n**3 - 18/5*n = 0?
-4, -1
Let j(v) be the second derivative of 4*v**6/15 - 41*v**5/5 + 220*v**4/3 - 200*v**3/3 - 22*v. Factor j(o).
4*o*(o - 10)**2*(2*o - 1)
Let m(c) = -54*c**2 - 66*c - 12. Suppose -3*a = -7*a. Suppose -f = -a + 3. Let q(j) = 18*j**2 + 22*j + 4. Let v(h) = f*m(h) - 8*q(h). Factor v(n).
2*(n + 1)*(9*n + 2)
Let v(z) = z**3 - 28*z**2 + 29*z. Let q(c) = 27*c**2 - 30*c. Let f(m) = 2*q(m) + 3*v(m). Let f(u) = 0. What is u?
0, 1, 9
Let d be 10/45 - -3*(-52)/(-108). Let -4/3*o**2 - 2/3 - d*o - 1/3*o**3 = 0. Calculate o.
-2, -1
Let m(o) = -o. Let c(g) be the second derivative of -g**4/3 + g**3/2 + 6*g**2 - 5*g. Let l(a) = -c(a) + 5*m(a). Factor l(s).
4*(s - 3)*(s + 1)
Determine r, given that -8/9*r**4 + 154/3*r - 98/9 - 254/9*r**2 - 34/3*r**3