 of 1/5*q**5 + 5/3*q**g + q**4 + q**2 - 5 + 0*q. What is c in d(c) = 0?
-2, -1, 0
Let v(x) = 10*x**2 + 118*x - 12. Let q be v(-12). Let r be ((-4)/q)/(-5 + 172/36). Determine c, given that -r*c**3 + 3*c**2 + 0*c + 0 = 0.
0, 2
Let p be 1608/(-84) + 11 + 9. Determine u so that p + 20/7*u - 8/7*u**3 - 18/7*u**2 = 0.
-3, -1/4, 1
Let v = 12 + -11. Determine k, given that k**2 - 4*k**2 + 1 + 18*k - v = 0.
0, 6
Let q(y) be the first derivative of -y**4/2 + 76*y**3 - 4332*y**2 + 109744*y - 10. Determine f, given that q(f) = 0.
38
Let k be (4 + 0)/(((-360)/(-462))/((-2)/(-7))). Let -4/15 - 2/3*c - 8/15*c**4 + k*c**3 + 8/15*c**2 - 8/15*c**5 = 0. What is c?
-2, -1/2, 1
Let l(k) be the third derivative of k**6/8 + k**5/20 - 21*k**4/40 - 9*k**3/10 - 135*k**2. Factor l(r).
3*(r - 1)*(5*r + 3)**2/5
Suppose s + s + 3*i - 19 = 0, i + 22 = 5*s. Determine v, given that -2*v**3 + 3*v**3 + 0*v**4 - v**4 - 2*v**5 + v**2 + v**s = 0.
-1, 0, 1
Let p be 3 + 1 + -1 + 3. Let g = -5 + p. Factor 2 + 4*y**2 - 4 - 7*y**2 - 6*y - g.
-3*(y + 1)**2
Let j(z) be the third derivative of z**7/105 + z**6/30 - z**5/30 - z**4/6 + z**2 + 6*z. Let j(o) = 0. Calculate o.
-2, -1, 0, 1
Suppose 0 = 2*s - 0 - 0. Let u(w) be the second derivative of 0*w**3 - 1/9*w**4 + 2/3*w**2 - w + s. Suppose u(r) = 0. What is r?
-1, 1
Determine q so that -1248/11*q**2 - 90/11*q**3 + 24576/11 - 3584/11*q - 2/11*q**4 = 0.
-16, 3
Let t(m) be the third derivative of -8*m**2 + 0 + 0*m - 1/30*m**5 - 1/12*m**4 + 0*m**3. Factor t(n).
-2*n*(n + 1)
Let l = 1149 + -130985/114. Let q = l + 85/57. Find v such that q*v - 1/2*v**3 + v**2 + 0 = 0.
-1, 0, 3
Suppose 0 = 118*h - 116*h - 1036. Factor -6 - h*t - 6*t**2 + 3*t**2 + 4*t**2 + 519*t.
(t - 2)*(t + 3)
Let y be 1 - ((-78)/(-18) + -4). Let p(f) = -f**3 + 2*f**2 + f. Let t be p(0). Determine s so that 0*s + y*s**4 + 2/3*s**3 + 0*s**2 + t = 0.
-1, 0
Let y(z) be the third derivative of -z**5/24 + 25*z**4/24 - 15*z**3/4 - 4*z**2 + 3*z. Find d such that y(d) = 0.
1, 9
Let l(w) = -6*w**2 + w - 1. Let t(r) = -5*r**2 - 16*r + 15. Let v(j) = 3*l(j) - 3*t(j). Find x, given that v(x) = 0.
1, 16
Let c(r) be the first derivative of r**5/270 - r**4/36 - 9*r**2/2 + 8. Let d(y) be the second derivative of c(y). Suppose d(v) = 0. Calculate v.
0, 3
Let y(m) be the second derivative of -3*m**6/10 + 633*m**5/20 - 1765*m**4/2 - 3168*m**3 - 3888*m**2 + 18*m - 2. Let y(u) = 0. Calculate u.
-1, -2/3, 36
Let d(n) = 3*n + 18. Let o be d(-8). Let i(u) = -u**4 + u**2 - u. Let x(f) = 2*f**4 + 28*f**3 + 18*f**2 - 38*f - 16. Let m(s) = o*i(s) + x(s). Solve m(k) = 0.
-2, -1/2, 1
Let c(z) = z**4 - 2*z**2 + z + 2. Let h(i) = 5*i**4 + 3*i**3 + 2*i**2 - 6*i - 28. Let o(d) = -30*c(d) + 5*h(d). Factor o(x).
-5*(x - 5)*(x - 2)*(x + 2)**2
Let a = -117 + 120. Let n(d) be the first derivative of 5/3*d**2 + 4/3*d + a - 8/3*d**3. Suppose n(z) = 0. Calculate z.
-1/4, 2/3
Let o be -4*7/(-56) + (-28)/(-24). Factor 0 + o*k**2 + 0*k - 5/6*k**3.
-5*k**2*(k - 2)/6
Let d be (-1)/(-6 - 102/(-18)). Let j(k) be the second derivative of 0 + 9*k + 8/3*k**d + 1/3*k**4 + 8*k**2. Factor j(v).
4*(v + 2)**2
What is o in 0*o**2 + 0 + 0*o + 1/4*o**3 = 0?
0
Let v(g) be the third derivative of -g**7/210 + 7*g**6/120 + g**5/20 - 23*g**4/24 + 7*g**3/3 - 287*g**2. Factor v(h).
-(h - 7)*(h - 1)**2*(h + 2)
Suppose 164/9*b**2 - 16/3*b + 14/9*b**3 + 0 = 0. What is b?
-12, 0, 2/7
Let i(k) be the third derivative of 0 + 0*k - 1/6*k**4 + 38*k**2 - 4/3*k**3 + 1/15*k**5. Factor i(a).
4*(a - 2)*(a + 1)
Let n = -1/145562 - -569438549/727810. Let f = n + -780. Suppose f - 3/5*u**2 - 9/5*u = 0. Calculate u.
-4, 1
Let c(x) be the third derivative of 0 + 28*x**2 + 0*x**3 - 1/60*x**4 + 0*x - 1/300*x**5. Solve c(p) = 0 for p.
-2, 0
Let w(i) = -i**2 - i - 1. Let d(u) = -u**3 - u**2 - 23*u - 23. Suppose -3*x + 24 = 3*x. Let z(y) = x*d(y) + 36*w(y). Let z(l) = 0. What is l?
-4, -2
Let x(o) be the first derivative of 10/9*o**3 + 0*o - 5/12*o**4 + 1 + 0*o**2. Factor x(r).
-5*r**2*(r - 2)/3
Let v(w) = -5*w - 54. Let p be v(-12). Let b(o) be the second derivative of -1/72*o**4 + 1/18*o**3 + p*o - 1/120*o**5 + 0*o**2 + 0. Factor b(x).
-x*(x - 1)*(x + 2)/6
Let r(k) be the third derivative of k**5/360 - 5*k**4/24 + 29*k**3/36 - 104*k**2. Determine n so that r(n) = 0.
1, 29
Let t(x) be the first derivative of -x**4/66 + 4*x**3/33 - 3*x**2/11 - 22*x + 21. Let a(o) be the first derivative of t(o). Solve a(s) = 0 for s.
1, 3
Let i(j) be the third derivative of -j**8/56 + j**7/40 + 5*j**6/32 - j**5/16 - 17*j**4/32 - j**3/4 - 70*j**2. Find y, given that i(y) = 0.
-1, -1/8, 1, 2
Let p(h) be the third derivative of -2*h**7/105 + h**6/9 - 4*h**5/135 - 7*h**4/27 - 2*h**3/9 - h**2 + 103*h. Suppose p(k) = 0. What is k?
-1/3, 1, 3
Let h be 2/(12/3 + -3 + 1). Suppose w + 0 = -5*v - h, -2*v + 4*w = -4. Find g such that -3/4*g**2 + 0 + 3/4*g**4 + 0*g**3 + v*g = 0.
-1, 0, 1
Suppose 11*g - 4*l = 10*g + 74, -2*l - 406 = -5*g. Suppose -4*p = -34 - 14. Factor p + 3*a**2 + g*a + 64*a - 131*a.
3*(a + 1)*(a + 4)
Let k(l) = 5*l**3 - 18*l**2 + 156*l + 2404. Let o(s) = -4*s**3 + 22*s**2 - 157*s - 2403. Let c(q) = -3*k(q) - 4*o(q). Suppose c(r) = 0. What is r?
-6, 20
Let r(s) be the first derivative of 338*s**6 - 260*s**5 + 64*s**4 - 16*s**3/3 + 66. Factor r(i).
4*i**2*(3*i - 1)*(13*i - 2)**2
Let l(a) be the third derivative of a**5/15 - 4*a**4/3 + 32*a**3/3 + 68*a**2. Factor l(g).
4*(g - 4)**2
Let a(j) be the first derivative of -5*j**6/27 + 124*j**5/45 - 37*j**4/9 - 80*j**3/27 + 79*j**2/9 - 44*j/9 + 512. Suppose a(w) = 0. What is w?
-1, 2/5, 1, 11
Suppose 7*v + 2 = 8*v. Suppose 0*i - 9 - 6*i**v + 12*i + 2*i**2 + i**2 = 0. Calculate i.
1, 3
Suppose 5*v = -5*u - 350, 359 = -5*u - 0*u + 4*v. Let o = 73 + u. Factor -5/2*n**2 - o*n**3 + 0 - 1/2*n.
-n*(n + 1)*(4*n + 1)/2
Let m = -6 - -11. Let n be (-4)/60 + (329/35 - 9). Factor -8/3*p**2 - 16/3*p**3 + 16/3 - n*p**m + 16/3*p - 7/3*p**4.
-(p - 1)*(p + 2)**4/3
Let o(l) be the first derivative of 2*l**3/15 + 102*l**2/5 + 5202*l/5 - 59. Find h, given that o(h) = 0.
-51
Let l = -27 - -63. Factor -9*g + 1 - l*g**2 - 1 + 48*g**2 - 3*g**3.
-3*g*(g - 3)*(g - 1)
Let k = 592/23 - 60838/2369. Let x = k - -85/309. Suppose 2/3*o + x*o**5 - 1/3*o**2 - o**3 + 1/3*o**4 + 0 = 0. What is o?
-2, -1, 0, 1
Suppose 2*v = v - y + 35, 3*y = -4*v + 143. Suppose -2*x + v = -x. Factor -h**2 - x + 2*h + 38 - h**3.
-h*(h - 1)*(h + 2)
Let k be 112043/(-285) - (-3)/(-15). Let l = -388 - k. Factor -8/3 - 10/3*r**2 - 2/3*r**3 - l*r.
-2*(r + 1)*(r + 2)**2/3
Let u(y) = 2*y**4 - y + 1. Let x(o) = 10*o**5 + 12*o**4 - 36*o**3 + 32*o**2 - 9*o + 9. Let j(b) = 18*u(b) - 2*x(b). Let j(f) = 0. What is f?
-2, 0, 1, 8/5
Let g be -7*(9/6)/(28/(-16)). Solve -9*y**4 + 37*y**3 - 20*y - g*y**4 - 2*y**3 = 0 for y.
-2/3, 0, 1, 2
Let u(o) be the second derivative of -4/15*o**2 + 20*o - 1/90*o**4 + 1/9*o**3 + 0. Factor u(b).
-2*(b - 4)*(b - 1)/15
Factor -20/7*v**2 + 0 - 8/7*v**3 + 24/7*v + 4/7*v**4.
4*v*(v - 3)*(v - 1)*(v + 2)/7
Let n be 33/(-9) - 4/3. Let q be ((-4)/n)/((-5)/(-25)). Factor 8/7*i**3 + 4/7*i**2 - 8/7*i + 2/7*i**q - 6/7.
2*(i - 1)*(i + 1)**2*(i + 3)/7
Find v, given that 0 + 0*v - 1/6*v**3 + 8*v**2 = 0.
0, 48
Let d(i) = i**2 - 5*i + 1. Suppose -2*p + u = -10, u + 2 = p - 3. Let y be d(p). Factor -1 + l**2 - 4*l**2 + 5*l**2 - y.
2*(l - 1)*(l + 1)
Suppose 5*a + 34 - 4 = 0. Let u be ((-10)/a)/(-10*1/(-12)). Factor -1/3*r**u + 1/3*r - 1/3*r**3 + 1/3.
-(r - 1)*(r + 1)**2/3
Let k = 89/1116 + 1/279. Let y(l) be the third derivative of 0 + 0*l + k*l**3 - 1/240*l**5 - 1/96*l**4 + 2*l**2. Factor y(w).
-(w - 1)*(w + 2)/4
Suppose -8*i + 33 - 1 = 0. Determine w so that 5*w - w**3 - 3*w**4 - 2 + 0*w**4 - 3*w**2 + 4*w**i = 0.
-2, 1
Let n = -100 + 123. Suppose -31 = -n*s + 38. Factor 2/11*z**4 + 0 + 0*z + 4/11*z**s - 6/11*z**2.
2*z**2*(z - 1)*(z + 3)/11
Let f(o) be the second derivative of 5887*o**4/3 + 232*o**3/3 + 8*o**2/7 + 2*o + 21. What is l in f(l) = 0?
-2/203
Let i(j) be the second derivative of 3*j**5/2 + 41*j**4/4 + 2*j**3 - 401*j. Find a such that i(a) = 0.
-4, -1/10, 0
Factor 24*s + s**2 - 7 - 17 + 3 - 4*s**2.
-3*(s - 7)*(s - 1)
Let v(k) be the second derivative of -k**7/6 + 31*k**6/60 + 3*k**5/40 - 2*k**4/3 - k**3/3 + 51*k. Find i such that v(i) = 0.
-1/2, -2/7, 0, 1, 2
Suppose 0 = 14