 + 128*f - 426 - 513 - 4*f**2 = 0 for f.
16
Let l(w) be the second derivative of -w**7/112 - w**6/48 + w**5/160 + 5*w**4/96 + w**3/24 - 2*w - 108. Let l(x) = 0. Calculate x.
-1, -2/3, 0, 1
Let f(m) be the third derivative of -m**7/105 + 17*m**6/60 + m**2 + 8*m. Factor f(y).
-2*y**3*(y - 17)
Let t(v) be the third derivative of v**5/12 + 85*v**4/8 - 265*v**3/3 - v**2 - 307*v. Factor t(w).
5*(w - 2)*(w + 53)
Let n = -32 + 102. What is j in 80*j**2 - 14*j**5 + 28*j**5 - 19*j**5 + 20*j**3 - 15*j**4 - n - 10 = 0?
-2, 1, 2
Suppose 3*q = 15, -4*b - 7*q + 4*q = -23. Factor 0*h + 0 + 4/13*h**b - 2/13*h**3.
-2*h**2*(h - 2)/13
Let m(a) be the third derivative of a**5/6 + 665*a**4/24 - 335*a**3/6 - 411*a**2. Solve m(k) = 0.
-67, 1/2
Suppose -3*q + 4*q = 5. Factor q*i - 15*i + 9*i - i**2.
-i*(i + 1)
Let v be (-9 + 10)*(85 + 0). Let o = v - 23. What is p in 1 - o*p**2 - 1 + 64*p**2 = 0?
0
Find n, given that -92/11*n + 26/11*n**2 + 2/11*n**3 + 64/11 = 0.
-16, 1, 2
Let y = -1061 - -1068. Let m(d) be the first derivative of -1/36*d**4 + y - 4/9*d - 5/27*d**3 - 4/9*d**2. Let m(u) = 0. Calculate u.
-2, -1
Let z(d) be the second derivative of -d**8/1344 - d**7/504 + 7*d**4/3 + 7*d. Let v(m) be the third derivative of z(m). Factor v(a).
-5*a**2*(a + 1)
Let b(z) = 0*z**3 + z**3 - 97 + 0*z**3 + 98 - z**2 - 2*z. Let r(x) = 12*x**3 - 8*x**2 - 26*x + 11. Let y(l) = -22*b(l) + 2*r(l). Find q, given that y(q) = 0.
-4, 0, 1
Let k(a) be the second derivative of -a**5/10 - a**4/2 - 4*a - 8. Factor k(p).
-2*p**2*(p + 3)
Let n(y) be the first derivative of 2/5*y**5 + 0*y**3 + y**4 - 2*y**2 - 2*y - 13. Suppose n(d) = 0. Calculate d.
-1, 1
Find f such that -8/7*f + 0 + 12/7*f**3 - 4/7*f**5 - 4/7*f**2 + 4/7*f**4 = 0.
-1, 0, 1, 2
Let u(z) be the first derivative of z**4/6 + 4*z**3/3 - 25*z**2/3 + 12*z - 176. Factor u(d).
2*(d - 2)*(d - 1)*(d + 9)/3
Suppose 0 = -5*w - c + 10, -c + 4*c = 3*w - 6. Factor -4*b**w - b**2 - b + 3*b + 8*b.
-5*b*(b - 2)
Let k = -950 + 955. Let m(v) be the first derivative of 9/25*v**k + 0*v**2 - 8 + 3/20*v**4 + 12/5*v - 7/5*v**3 - 1/10*v**6. Determine l so that m(l) = 0.
-1, 1, 2
Let d(z) = -9*z**2 - 8 + z**3 - 3*z + 0*z**3 - 6*z + 0*z**2. Let f be d(10). Solve -1/3*m**4 - 2/3*m**f + 0 - m**3 + 0*m = 0.
-2, -1, 0
Let l(f) be the second derivative of 0 + 1/2*f**2 + 1/12*f**4 - 1/3*f**3 + 14*f. Factor l(h).
(h - 1)**2
Let v be (23 - 22) + 214/3 + -1. Let d = 72 - v. Factor -d + 2/3*p**2 + 0*p.
2*(p - 1)*(p + 1)/3
Let a(j) be the second derivative of 37*j - 2/27*j**3 + 0 + 2/9*j**2 + 1/36*j**5 + 1/270*j**6 - 1/378*j**7 - 5/108*j**4. Determine u, given that a(u) = 0.
-2, -1, 1, 2
What is a in -59*a - 6 - 12*a**3 - 31*a + 91*a - 34*a - 39*a**2 = 0?
-2, -1, -1/4
Factor 0 + 0*l - 1/3*l**3 + 205/3*l**2.
-l**2*(l - 205)/3
Let p(n) = 7*n**2 + n + 10. Suppose 0 = 6*i + 23 + 121. Let m(q) = -q**2 - 1. Let h(k) = i*m(k) - 3*p(k). What is c in h(c) = 0?
-1, 2
Let a(i) be the first derivative of 0*i**3 + 1/20*i**5 + 1/8*i**4 + 0*i - 2 - 5/2*i**2. Let f(w) be the second derivative of a(w). Let f(x) = 0. What is x?
-1, 0
Factor -3/4*v**2 + 3/4*v**4 + 0*v**3 - 3/8*v**5 + 0 + 3/8*v.
-3*v*(v - 1)**3*(v + 1)/8
Let k(v) = v**2 + 52*v - 279. Let s be k(5). Determine a, given that 27/4*a + s + 3/4*a**2 = 0.
-8, -1
Let k(a) = 9*a**2 - 36*a - 45. Let w be k(5). Let 0*p - p**2 + 1/3*p**3 + w = 0. Calculate p.
0, 3
Let w(f) = -2*f**3 + 9*f**2 + 12*f - 1. Let t(r) = -r**3 - r - 1. Let y be -1*4/6*(-30)/4. Let g(a) = y*w(a) + 10*t(a). Factor g(d).
-5*(d - 3)*(d + 1)*(4*d - 1)
Suppose 8 = f + 4. Factor 9*z**4 - 10*z**2 + 10*z**4 - 10*z**2 + 16*z**f - 60*z**3.
5*z**2*(z - 2)*(7*z + 2)
Factor 16/3 - 14*y + 1/3*y**5 + 29/3*y**2 - 3*y**4 + 5/3*y**3.
(y - 8)*(y - 1)**3*(y + 2)/3
Let o(p) be the first derivative of 44/5*p**5 + 13 + 0*p**2 + 35*p**4 + 0*p + 100/3*p**3 + 2/3*p**6. Let o(r) = 0. What is r?
-5, -1, 0
Let -10000/11 + 4600/11*c + 196/11*c**2 + 2/11*c**3 = 0. What is c?
-50, 2
Let l(g) be the first derivative of 0*g**4 - 8/5*g**5 + 0*g + 8/3*g**3 + 2/3*g**6 + 6 - 2*g**2. Solve l(m) = 0 for m.
-1, 0, 1
Let v(n) be the first derivative of n**4/48 - n**3/4 + 9*n**2/8 + n - 4. Let c(l) be the first derivative of v(l). Factor c(w).
(w - 3)**2/4
Let w(v) = 2*v. Let u(r) = 2*r**2 + 16*r. Let d(h) = u(h) - 6*w(h). Solve d(t) = 0.
-2, 0
Let d(u) be the second derivative of 5/12*u**4 + 1/10*u**5 - 1/3*u**3 + 0*u**2 + 0 - 1/6*u**6 - 12*u. Solve d(w) = 0.
-1, 0, 2/5, 1
Suppose 17 - 8 = 197*q + 9. Factor -5/2*u**2 + q + 15/4*u**3 - 5/4*u.
5*u*(u - 1)*(3*u + 1)/4
Let j(x) = 4*x - 2 + 1 + 2 + 1 - x**2. Let g be j(4). Suppose 0*r**3 + r**3 + r**g + 2*r + 2*r**3 - 4*r**3 = 0. What is r?
-1, 0, 2
Let l be (-4)/2*(-16)/8 - 18. Let f be 0/(-5*l/(-35)). Factor 2/5*m**2 + 4/5*m + f.
2*m*(m + 2)/5
Let z(o) be the first derivative of 0*o + 1/13*o**2 + 8 + 8/39*o**3. Factor z(a).
2*a*(4*a + 1)/13
Find n, given that -2/11*n**3 + 2/11*n**2 - 1/11*n**4 - 1/11 + 1/11*n + 1/11*n**5 = 0.
-1, 1
Let y(i) be the second derivative of -i**5/25 - 7*i**4/5 + 2*i**3/15 + 42*i**2/5 - i + 229. Factor y(z).
-4*(z - 1)*(z + 1)*(z + 21)/5
Let t(i) be the first derivative of 4*i**3/3 - 44*i**2 + 160*i - 176. Determine v so that t(v) = 0.
2, 20
Let y(a) be the second derivative of -a**4/114 - 46*a**3/57 - 529*a**2/19 - 45*a. Factor y(o).
-2*(o + 23)**2/19
Let c be -2 - 17/((-2 - 2)/4). Determine g so that 5*g**3 + c*g**4 + 5*g**2 + 5*g**5 - 9*g**3 + 19*g**3 = 0.
-1, 0
Let z = 6 + -4. Factor 92*o**3 + z*o**4 + 16*o - 2*o**4 - 80*o**2 + o**4 - 29*o**4.
-4*o*(o - 2)*(o - 1)*(7*o - 2)
Let j(h) be the third derivative of 1/480*h**6 - 1/96*h**4 + 0 - 1/240*h**5 - 11*h**2 + 0*h + 1/840*h**7 + 0*h**3. Factor j(f).
f*(f - 1)*(f + 1)**2/4
Suppose o + 2*j - 7 = 0, -2*o + 2*j = -0*j - 2. Suppose -2*b = -6 + 2. Find t such that -3*t - t**3 + o*t**b + 4*t**3 + 10*t**4 - 13*t**4 = 0.
-1, 0, 1
Let v(m) = -2*m**3 - 4*m**2 + 7*m + 3. Let i be v(-3). Let l(j) be the first derivative of i*j**2 - 2/27*j**3 + 5 + 0*j. Suppose l(c) = 0. What is c?
0
Let x = 11 - 6. Let 15*b - b**2 + 36 + x*b**2 + 5*b + 4*b = 0. Calculate b.
-3
Let l be 31/11 - (-2)/11. Determine w so that 8*w**2 - 3*w**l + 21*w**5 - 25*w**5 + 15*w**3 = 0.
-1, 0, 2
Let u(q) be the first derivative of -4*q + 4/5*q**5 - 4*q**2 + 0*q**3 - 23 + 2*q**4. Determine w so that u(w) = 0.
-1, 1
Let r(b) be the first derivative of 1/120*b**5 + 0*b + 0*b**3 + 4*b**2 - 5 + 1/96*b**4 + 1/480*b**6. Let f(c) be the second derivative of r(c). Factor f(v).
v*(v + 1)**2/4
Let b(o) = -7203*o**2 - 580*o - 8. Let j(k) = -50421*k**2 - 4062*k - 57. Let l(f) = 27*b(f) - 4*j(f). Factor l(w).
3*(49*w + 2)**2
Let y(n) be the first derivative of -n**3/3 + 67*n**2/6 - 22*n/3 + 73. Factor y(r).
-(r - 22)*(3*r - 1)/3
Let b = 461 + -458. Let y(w) be the third derivative of 0 - 1/3*w**b + 7*w**2 - 2/15*w**5 + 0*w - 5/12*w**4. Let y(g) = 0. Calculate g.
-1, -1/4
Let h(y) be the second derivative of 2*y**7/315 - y**6/30 + y**5/15 - y**4/18 - 51*y**2/2 + 11*y. Let p(k) be the first derivative of h(k). Factor p(t).
4*t*(t - 1)**3/3
Let n(o) = 5*o**3 - 10*o**2. Let k(f) = -2*f**2 - f. Let z(i) = -15*k(i) + n(i). Suppose z(g) = 0. What is g?
-3, -1, 0
Suppose 11*t + 273 - 666 = -120*t. Factor 0 + 9/4*w**3 + 3/4*w - t*w**2.
3*w*(w - 1)*(3*w - 1)/4
Let t(y) be the first derivative of y**4/12 + y**3 + 9*y**2/2 + 9*y - 202. Suppose t(m) = 0. What is m?
-3
Let f = 24 - 17. Let w be 0 + 2 + -3 + f. Solve 4*x - 4*x**2 - w*x - x + x**2 = 0.
-1, 0
Determine o so that 11*o - 5/3*o**2 - 1/3*o**3 - 9 = 0.
-9, 1, 3
Let f = 410 + -3279/8. Let y(r) be the second derivative of 1/40*r**5 + f*r**4 - r**2 + 0 + 0*r**3 - 7*r. Let y(j) = 0. Calculate j.
-2, 1
Let p(q) be the first derivative of -q**5 - 15*q**4 + 160*q**3 - 520*q**2 + 720*q + 145. Solve p(h) = 0 for h.
-18, 2
Let j(d) be the second derivative of 1/100*d**5 + 0 + 0*d**2 - 1/30*d**4 + 1/30*d**3 + 5*d. Solve j(f) = 0 for f.
0, 1
Let w be 90/25*750/675. Factor 3*s**2 + 1/2*s**3 + 6*s + w.
(s + 2)**3/2
What is b in -16 + 2/9*b**5 - 28/9*b**2 + 16/9*b**4 + 34/9*b**3 - 56/3*b = 0?
-3, -2, 2
Let r(l) = l - 2. Let v be r(6). Let o(u) = -20 - u**2 - 20 + 39. Let y(n) = 3*n**2 - 4*n. Let t(h) = v*o(h) + y(h). Determine d, given that t(d) = 0.
-2
Let i be -25 + 16 + 13 + 0. Let h(j) be