5/5 - 5*c**4/6 - 4*c**3/3 - 35*c**2/2 + 8. Let d(u) be the second derivative of q(u). Factor d(s).
-4*(s + 1)*(3*s + 2)
Factor 135*x - 23*x + 0*x - 4*x**2 + 9 - 120*x**2 + 3.
-4*(x - 1)*(31*x + 3)
Suppose -5*p + 4*f + 67 - 29 = 0, 3*p - 5*f = 41. Determine k, given that 16/19*k + 2/19*k**p + 14/19 = 0.
-7, -1
Let q(w) be the first derivative of 8/9*w**2 - 4/9*w**3 - 1/90*w**5 - 7*w + 1/9*w**4 - 1. Let j(v) be the first derivative of q(v). Let j(r) = 0. Calculate r.
2
Let t be (-2)/(-4) + (-90)/(-20). Solve -2*a**3 + t*a + 0*a - 3*a**3 + 0*a**3 = 0.
-1, 0, 1
Suppose 2*f + 11 = 11. Let j(k) be the second derivative of f - 1/78*k**4 + 1/39*k**3 - 4*k + 0*k**2. Suppose j(p) = 0. Calculate p.
0, 1
Let g(i) = -27 - 47 + 14 + 18*i - 14*i. Let d be g(15). Suppose 0 + 1/3*a**3 + 0*a - 1/3*a**4 + d*a**2 = 0. What is a?
0, 1
Solve -48/5 - 10*a + 46/5*a**2 + 2/5*a**4 + 10*a**3 = 0.
-24, -1, 1
Let b be (-4)/(-20) - 476/(-20). Let t(r) = 3*r - 70. Let c be t(b). Determine i so that -2/3*i - 4/3 + 2*i**c + 2/3*i**3 - 2/3*i**4 = 0.
-1, 1, 2
Let o(s) be the first derivative of -s**6/21 + 24*s**5/35 - 3*s**4/2 + 20*s**3/21 - 161. What is l in o(l) = 0?
0, 1, 10
Let x(p) = p**2 - 57*p - 120. Let h(n) = -28*n - 60. Let y(b) = 10*h(b) - 4*x(b). Factor y(o).
-4*(o + 3)*(o + 10)
Let z(b) be the first derivative of 343*b**6/3 - 3234*b**5/5 + 11487*b**4/8 - 4790*b**3/3 + 948*b**2 - 288*b + 277. Suppose z(v) = 0. Calculate v.
4/7, 3/2
Factor -16/7 - 2*o + 2/7*o**2.
2*(o - 8)*(o + 1)/7
Let p(c) be the third derivative of 0*c + 1/330*c**5 + 0*c**3 + 0*c**4 + 10*c**2 - 1/660*c**6 + 0. Factor p(u).
-2*u**2*(u - 1)/11
Let t(k) be the first derivative of 3/5*k**5 + 3*k**4 + 0*k**2 + 7*k - 7 - 8/15*k**6 + 4/3*k**3. Let u(d) be the first derivative of t(d). Factor u(w).
-4*w*(w - 2)*(w + 1)*(4*w + 1)
Let u be (0 - 1)*-18*5/(-2). Let y be 3/36*280/u*-3. What is p in 0 - y*p**2 + 4/9*p + 2/3*p**4 + 4/9*p**3 = 0?
-2, 0, 1/3, 1
Let l(f) be the first derivative of -f**6/51 - 8*f**5/85 - 3*f**4/34 - 85. Factor l(g).
-2*g**3*(g + 1)*(g + 3)/17
Let y be (-24)/(-18)*2*1164/(-16). Let r = y + 2136/11. Factor -2/11*h**2 + 4/11 - r*h.
-2*(h - 1)*(h + 2)/11
Factor -4/5*j**2 + 4/5*j + 1/5*j**4 - 1/5*j**3 + 0.
j*(j - 2)*(j - 1)*(j + 2)/5
Factor -207/2*l**2 + 529/6*l**3 - 2/3 + 16*l.
(l - 1)*(23*l - 2)**2/6
Suppose -v + 0*i - 4*i = -95, 0 = 4*v + i - 440. Let g = 335/3 - v. Let -4/3*f**2 + 2/3*f**4 + 0*f + g + 0*f**3 = 0. Calculate f.
-1, 1
Let t(v) = v**3 + 6*v**2 + 5*v + 5. Let o be t(-5). Factor 24*l**2 - 39*l**2 + 10*l + o*l**4 + 0 + 0.
5*l*(l - 1)**2*(l + 2)
Let u(b) be the third derivative of 0 - 7/12*b**4 - 15*b**2 + 1/60*b**6 - 2*b**3 + 0*b + 0*b**5. Factor u(w).
2*(w - 3)*(w + 1)*(w + 2)
Let w(k) = k**2 + k + 0*k - 2*k. Let i(b) = -4*b**2 + 12*b. Let z(r) = i(r) + 8*w(r). Factor z(c).
4*c*(c + 1)
Let p(o) be the second derivative of o**8/1176 + o**7/980 - o**6/630 + 5*o**3/3 + 2*o. Let g(j) be the second derivative of p(j). Solve g(b) = 0 for b.
-1, 0, 2/5
What is g in 5*g**2 - 26*g + 13 + 39*g + 51*g + 99 - g**2 = 0?
-14, -2
Let i(g) = -4*g**4 - 18*g**3 - 168*g**2 - 203*g - 94. Let a(y) = -3*y**4 - 22*y**3 - 167*y**2 - 204*y - 92. Let n(u) = -5*a(u) + 4*i(u). Factor n(t).
-(t - 42)*(t + 1)**2*(t + 2)
Factor -6*d**3 - 13*d + 2*d**3 - 13*d**2 - 7*d**2 - 11*d.
-4*d*(d + 2)*(d + 3)
Let n = 1107 + -1107. Factor -2/5*v**4 + 8/5*v**3 + n*v + 0 - 8/5*v**2.
-2*v**2*(v - 2)**2/5
Suppose d = -2*f - 3*d + 8, 0 = -f + 4*d - 8. Suppose f = 7*v - 0*v. What is x in 0 + v*x - 1/6*x**4 - 1/6*x**3 + 1/3*x**2 = 0?
-2, 0, 1
Solve -48/5 - 16*w - 12/5*w**2 = 0 for w.
-6, -2/3
Let y(g) = 8*g**2 + 13*g - 1. Let r(w) = 7*w**2 + 10*w - 1. Let n(t) = 5*r(t) - 4*y(t). Factor n(v).
(v - 1)*(3*v + 1)
Let s(h) = 7*h**3 + 13*h**2 + 27*h + 33. Let a(g) = 15*g**3 + 26*g**2 + 52*g + 67. Let u(d) = 6*a(d) - 13*s(d). Factor u(b).
-(b + 1)*(b + 3)*(b + 9)
What is c in -15*c**3 + 9/5*c**4 - 312/5 - 486/5*c**2 - 756/5*c = 0?
-2, -2/3, 13
Let v(w) = 4*w**2 + 13*w - 17. Let u(b) = -b**2 + 1. Let h(c) = -3*u(c) - v(c). Suppose h(q) = 0. Calculate q.
-14, 1
Let o(q) be the third derivative of -q**5/540 - 23*q**4/216 - 10*q**3/9 - 127*q**2. Suppose o(n) = 0. What is n?
-20, -3
Let y be -2 - (-2 - (-5)/(-1)). Suppose k = y*r - 24, r - 8 = k - 0. Suppose -35*i**2 + r*i**5 + 35*i**3 - 18*i**4 - i**2 - 10*i**4 + 25*i**3 = 0. What is i?
0, 1, 3
Factor -1/2*x**2 - 121/2 + 11*x.
-(x - 11)**2/2
Suppose -3*p = -4*p - 2*f + 36, 0 = -3*p + 4*f + 98. Determine d, given that 20*d**2 + 6 + p*d + 7*d**2 - 18*d**3 + 15*d**2 = 0.
-1/3, 3
Suppose -2*q = -7*q. Let t(f) be the first derivative of -1/9*f**2 - 1 + 2/27*f**3 + q*f. Factor t(y).
2*y*(y - 1)/9
Let t(w) = -23*w + 414. Let c be t(18). Factor c - 3/4*d - d**2.
-d*(4*d + 3)/4
Let c = 509 + -1526/3. Suppose -2/3*z**3 - 1/3*z**4 + 0*z**2 + 0 + c*z**5 + 0*z = 0. What is z?
-1, 0, 2
Suppose -4*r - 12 = -7*r. Let o(k) = r - 6 + 1. Let x(q) = 4*q**2 - 8*q + 10. Let g(s) = -6*o(s) - x(s). Factor g(d).
-4*(d - 1)**2
Let l(z) = 2*z**2 - 2*z + 4. Let j be l(3). Factor -148*m**2 - j*m + 144*m**2 - 15 - 1.
-4*(m + 2)**2
Let l be (-32)/(-1692)*(-9)/6. Let u = 1249/705 - l. Factor 3/5*g**2 + u + 12/5*g.
3*(g + 1)*(g + 3)/5
Let q(y) be the first derivative of -y**6/2 - 24*y**5/5 - 75*y**4/4 - 38*y**3 - 42*y**2 - 24*y - 343. Solve q(b) = 0.
-2, -1
Let u = -1094 + 2189/2. Suppose -u*i**4 + 1/6*i**5 - 1/2 + i**2 - 1/3*i**3 + 1/6*i = 0. Calculate i.
-1, 1, 3
Let k be ((-648)/(-70))/3 - 37/(1665/36). Factor 4/7*u**2 - k*u + 12/7.
4*(u - 3)*(u - 1)/7
Let o(l) = 29*l**2 - 3*l + 2. Let y be o(1). Suppose 4*u - 16 = 0, 5*j + 0*u = 2*u + 12. Factor y*t**2 + 24*t**2 + j - 48*t**2 + 8*t.
4*(t + 1)**2
Let l(y) be the second derivative of 3/19*y**3 + 15*y + 2/19*y**4 + 1/399*y**7 - 1/95*y**5 - 4/285*y**6 + 0*y**2 + 0. Factor l(j).
2*j*(j - 3)**2*(j + 1)**2/19
Suppose 8*d = 7 + 9. Find f such that -17*f**2 - 10*f**2 + 32*f**d + 5*f - 10 = 0.
-2, 1
Let k = 55 - 53. What is g in 19*g**4 + 29*g**4 + 100*g**3 + 3*g**2 + 21*g**k - 28*g**5 = 0?
-1, -2/7, 0, 3
Let z(q) be the second derivative of 0 - 1/14*q**7 + 0*q**2 - 1/4*q**4 - 2*q + 0*q**3 + 3/20*q**5 + 1/10*q**6. Solve z(n) = 0.
-1, 0, 1
Let v = 3974/2301 - 70/39. Let i = v - -154/531. Factor 0 - i*t**4 + 2/9*t**5 + 0*t - 2/9*t**3 + 2/9*t**2.
2*t**2*(t - 1)**2*(t + 1)/9
Let a(t) be the first derivative of -t**5/60 - t**4/24 + t**3/3 + 7*t**2 - 2. Let d(w) be the second derivative of a(w). Find l, given that d(l) = 0.
-2, 1
Factor 2*h - 3*h**3 - 3/2*h**2 + 5/2*h**4 + 0.
h*(h - 1)**2*(5*h + 4)/2
Let f = 833 - 827. Let o(c) be the second derivative of -5*c + 2/5*c**5 - 2/15*c**f + 4/3*c**4 - 4/3*c**3 + 0 - 6*c**2. Factor o(i).
-4*(i - 3)*(i - 1)*(i + 1)**2
Let m be (5/10)/(1/10). Let a(o) = -4*o**2 - 6*o - 2. Let s(f) be the first derivative of -f**3/3 - f**2/2 - 3. Let v(p) = m*s(p) - a(p). Factor v(l).
-(l - 2)*(l + 1)
Find q such that 1 + 515*q**3 - q**2 + q + 521*q**3 - 1037*q**3 = 0.
-1, 1
Factor -130/9 - 14/9*n**2 - 146/9*n + 2/9*n**3.
2*(n - 13)*(n + 1)*(n + 5)/9
Let q = -1538 + 1538. Factor 3/2*a**3 + q + 0*a + 3/2*a**4 + 0*a**2.
3*a**3*(a + 1)/2
Let n = 160 - 147. Let i be (2/16)/(n/52). Suppose p - i*p**3 + 0 + 1/2*p**2 = 0. Calculate p.
-1, 0, 2
Suppose -3*g = 3*g - 12. Factor -2*s - 4*s**g - 11 + 23 - 6*s.
-4*(s - 1)*(s + 3)
Let l(n) be the first derivative of -2*n**5/45 - 4*n**4/3 - 286*n**3/27 + 8*n**2/3 + 32*n - 80. Determine b so that l(b) = 0.
-12, -1, 1
Let u(q) = q**2 + q - 1. Let v(k) = 3*k**2 + 252*k - 5049. Let z(a) = 6*u(a) - v(a). Solve z(x) = 0.
41
Let c = 33 + -19. Suppose 0 = c*l + 13 - 55. Determine z so that 0*z**2 + 2/3*z + 0 - 2/3*z**l = 0.
-1, 0, 1
Factor -12/7*r**4 - 8/7*r**2 + 2/7*r**5 + 0*r + 18/7*r**3 + 0.
2*r**2*(r - 4)*(r - 1)**2/7
Let v(i) be the second derivative of i**5/100 + 2*i**4/15 + 2*i**3/3 + 8*i**2/5 - 77*i. Solve v(n) = 0 for n.
-4, -2
Let a(l) = -4*l - 5. Let w be a(-6). Factor 5*u**3 + 2*u - w*u + 18*u**2 + 7*u**2 - 13*u.
5*u*(u - 1)*(u + 6)
Let t = 122 + -120. Let m(c) = -5*c**3 - 12*c**2 + 5*c + 12. Let s(i) = i**2 - 1. Let d(q) = t*s(q) + m(q). Factor d(p).
-5*(p - 1)*(p + 1)*(p + 2)
Suppose -3*y + 287 = 17. Let h be 192/y + (-4)/30. Find f, given that -3/5*f**5 + 0*f**4 + 0 + 0*f**h - 3/5*f + 6/5*f**3 = 0.
-1, 0, 