of j**5/60 + 5*j**4/24 - 14*j**3 + 2*j**2 + 291. Find m, given that x(m) = 0.
-12, 7
Let p(a) be the first derivative of -a**6 + 4*a**5/5 + 9*a**4/2 - 4*a**2 + 47. Suppose p(x) = 0. What is x?
-1, 0, 2/3, 2
Let u be (3/2)/((-3)/(-4)). Let g be u*(-4 + 6) + 45. Factor 3*q**2 - 2*q**3 - 49 - q**3 + g.
-3*q**2*(q - 1)
Let v(x) be the first derivative of x**4/14 + 8*x**3/21 - 60*x**2/7 - 576*x/7 + 448. Factor v(l).
2*(l - 8)*(l + 6)**2/7
Suppose -4*y = -19*y. Let f(l) be the third derivative of -2/3*l**3 - 1/60*l**6 - 2*l**2 + y + 0*l**5 + 1/4*l**4 + 0*l. Find q, given that f(q) = 0.
-2, 1
Let l(h) be the third derivative of h**9/141120 + h**8/23520 + h**7/11760 - 3*h**5/20 - 10*h**2. Let c(i) be the third derivative of l(i). Factor c(s).
3*s*(s + 1)**2/7
Let c(l) = -24*l**5 + 120*l**4 - 162*l**3 - 75*l**2 + 207*l - 24. Let f(i) = -i**4 - i**3 + i**2 + i. Let q(w) = c(w) - 3*f(w). Suppose q(y) = 0. What is y?
-1, 1/8, 2
Let p(g) be the third derivative of g**5/45 - 7*g**4/18 - 20*g**3/3 + 183*g**2. Determine f, given that p(f) = 0.
-3, 10
Let a(h) be the second derivative of h**6/720 - h**5/48 + 3*h**3 - 6*h. Let o(g) be the second derivative of a(g). Determine s, given that o(s) = 0.
0, 5
Let g(h) be the first derivative of 5*h**3/3 + 65*h**2/2 + 110*h - 62. Solve g(z) = 0.
-11, -2
Let k = 803/12215 + -3/349. Let w(n) be the third derivative of 5/294*n**7 - 1/42*n**4 + 0*n**3 + 0*n + 2*n**2 + 0 + k*n**5 - 3/56*n**6. Factor w(h).
h*(h - 1)*(5*h - 2)**2/7
Let j = -49 + 42. Let m be j/((-98)/(-4)) - (-40)/42. Let -1/3*n**2 - m*n + 0 + 1/3*n**3 = 0. What is n?
-1, 0, 2
Let s(g) be the first derivative of g**6/2 + 18*g**5/5 - 93*g**4/4 - 36*g**3 - 178. Determine w so that s(w) = 0.
-9, -1, 0, 4
Let i(x) = -8*x**2 + 78*x - 60. Let c(j) = -7*j**2 + 80*j - 58. Let w(a) = 2*c(a) - 3*i(a). Let w(b) = 0. What is b?
1, 32/5
Determine j, given that 5*j**2 + 98 - 188 - 40*j + 125 = 0.
1, 7
Let k(m) be the first derivative of m**6/120 - m**5/60 - 11*m**2/2 + 15. Let l(j) be the second derivative of k(j). Factor l(n).
n**2*(n - 1)
Let w(k) be the third derivative of k**7/490 - k**6/70 + k**5/70 + k**4/14 - 3*k**3/14 + 24*k**2 - 2. Find f such that w(f) = 0.
-1, 1, 3
Let b(a) be the first derivative of 1/16*a**4 - a - 1/2*a**3 - 7 + 9/8*a**2. Factor b(v).
(v - 4)*(v - 1)**2/4
Suppose 5*k + 0*k - 23 = -2*b, 2*k = -3*b + 18. Suppose 2 = 4*q - k*q. Determine p, given that -8*p**4 - 2 - p**q + 5*p**3 - 13*p**3 + 7*p**2 + 4*p = 0.
-1, 1/2
Let w(y) be the second derivative of y**3/6 - y**2/2 + 8*y. Let c be w(3). Find m such that 2*m**c - 4*m + m + 6 + m - 6*m = 0.
1, 3
Suppose 6*c**4 - 5 - 4*c**4 + 48*c**3 + 8 - 3 = 0. What is c?
-24, 0
Let n(u) be the first derivative of -7*u**5/270 - u**4/54 + 4*u**2 - 7. Let q(i) be the second derivative of n(i). Solve q(f) = 0 for f.
-2/7, 0
Let l(j) be the second derivative of -j**8/26880 - j**7/10080 + j**6/1440 - 5*j**4/6 - 7*j. Let v(k) be the third derivative of l(k). Factor v(r).
-r*(r - 1)*(r + 2)/4
Let y be (-38)/(-209) - (-34)/(-308). Let n(t) be the first derivative of -5/7*t**2 - y*t**4 - 3 - 4/7*t - 8/21*t**3. Factor n(m).
-2*(m + 1)**2*(m + 2)/7
Let i be (-4)/(-32)*0 + 3. Let a(y) be the third derivative of -y**3 + 1/8*y**4 + 1/20*y**5 + 0*y + 0 - i*y**2. Factor a(g).
3*(g - 1)*(g + 2)
Let x(k) be the first derivative of -2 - 3*k - 2*k**2 - 1/3*k**3. Factor x(a).
-(a + 1)*(a + 3)
Let l = -3981 + 3984. Factor 6/5*j**l + 0*j**4 + 0*j + 4/5*j**2 - 2/5*j**5 + 0.
-2*j**2*(j - 2)*(j + 1)**2/5
Suppose -3*c = v - 19, -5*v + 37 = 2*c + 7. Suppose i = -4*y + 3*y + 7, v*y - 13 = i. Factor i*j**2 + 6*j + 1 - 10 + 0*j**2.
3*(j - 1)*(j + 3)
Let u(x) be the third derivative of x**6/30 + 9*x**5/5 + 16*x**4 + 184*x**3/3 + 484*x**2. Factor u(c).
4*(c + 2)**2*(c + 23)
Let n(z) = -44*z - 4. Let t be n(-7). Find r such that -2*r**5 - t*r**2 - 103*r**4 + 72 + 4*r**4 - 53*r**4 + 376*r**3 - 12*r + 22*r**5 = 0.
-2/5, 1, 3
Let w(j) be the third derivative of -j**7/1260 + j**6/90 - j**5/20 - 7*j**4/24 + j**2. Let q(u) be the second derivative of w(u). Factor q(i).
-2*(i - 3)*(i - 1)
Let p = -127/15 + -1/30. Let u = -7 - p. Factor u*h**2 + 0*h - 3/2.
3*(h - 1)*(h + 1)/2
What is j in -7*j - 29 - 16*j + 109 - 16*j + 65*j + 2*j**2 = 0?
-8, -5
Factor 23/2*q**2 + 3/2 + 3*q**3 + 8*q.
(q + 3)*(2*q + 1)*(3*q + 1)/2
Let t(o) be the first derivative of -3*o**5/5 - 3*o**4/2 + 3*o**2 + 3*o - 41. Factor t(h).
-3*(h - 1)*(h + 1)**3
Let d(p) = 3*p**2 + 105*p + 290. Let t be d(-32). Find s such that 3/2*s**t + 0 + 3*s = 0.
-2, 0
Let b(l) be the second derivative of l**7/2100 + l**6/225 + l**5/75 - 2*l**3 - 28*l. Let q(x) be the second derivative of b(x). Factor q(p).
2*p*(p + 2)**2/5
Suppose c + 4 = 5*c. Let p be (63/14)/((-3)/(-4)). Factor -p*x - 5 + 2*x**2 + c + 12 - 2*x.
2*(x - 2)**2
Let t(p) be the first derivative of 2*p**5/75 + 4*p**4/15 + 2*p**3/3 - 8*p**2/15 - 32*p/15 - 95. Let t(n) = 0. Calculate n.
-4, -1, 1
Let z(y) be the third derivative of -1/660*y**6 + 23*y**2 + 0 + 1/132*y**4 + 0*y + 1/2310*y**7 - 1/66*y**3 + 0*y**5. Find s such that z(s) = 0.
-1, 1
Let y(n) be the first derivative of -n**4/2 + 10*n**3/3 - 6*n**2 + 83. Determine j so that y(j) = 0.
0, 2, 3
Let i(w) be the first derivative of -5*w**3/12 + 35*w**2/2 - 462. Solve i(d) = 0 for d.
0, 28
Suppose -k - 2*l + 5 = 0, l = -5*k + 2*l + 25. Solve 2*w**3 + 2*w**2 - 14 - 2*w**k + 10 + 4 - 2*w**4 = 0.
-1, 0, 1
Suppose 180 = -7*d + 37*d. Let s(v) be the third derivative of 0 - d*v**2 - 1/8*v**4 + 0*v**3 + 0*v - 1/10*v**5 - 1/40*v**6. Factor s(j).
-3*j*(j + 1)**2
Let o(q) be the first derivative of 5*q**8/168 + q**7/7 + 13*q**6/48 + q**5/4 + 5*q**4/48 - q**2/2 - 9. Let x(a) be the second derivative of o(a). Factor x(u).
5*u*(u + 1)**2*(2*u + 1)**2/2
Suppose -10*d + 12*d = 4. What is w in 2*w**d + 5 + 28*w + 35 + 23 + 35 = 0?
-7
Suppose -5224*p + 5261*p - 74 = 0. Solve -6/7 + 8/7*y + p*y**2 = 0.
-1, 3/7
Let d(u) be the third derivative of -u**6/240 + u**5/8 + 3*u**4/8 - 8*u**3/3 - 526*u**2. Solve d(p) = 0 for p.
-2, 1, 16
Determine i so that 1/2*i**2 + 8 + 4*i = 0.
-4
Let s(l) = -l**4 + 1. Let h = 41 - 47. Let k(p) = 7*p**4 - 4*p**3 + 5*p**2 - 2*p - 6. Let t(d) = h*s(d) - k(d). Factor t(c).
-c*(c - 2)*(c - 1)**2
Let m(h) be the third derivative of h**6/10 + 19*h**5/20 - 61*h**4/8 + 7*h**3 + 57*h**2 + 2*h. Suppose m(p) = 0. Calculate p.
-7, 1/4, 2
Let u be 2/3 - 115918/231. Let d = 502 + u. Solve -d*t**2 - 2/7*t**3 + 0 + 0*t = 0 for t.
-3, 0
Let s(g) be the second derivative of -3*g**5/70 + g**4/2 + 8*g**3 + 144*g**2/7 + g + 400. Factor s(q).
-6*(q - 12)*(q + 1)*(q + 4)/7
Let m be 124/44 - ((-12)/22)/3. Let h + m*h - 3*h - h**2 + h - 1 = 0. What is h?
1
Factor 0 + 192*v + 35/4*v**3 - 1/4*v**4 - 88*v**2.
-v*(v - 16)**2*(v - 3)/4
Let k(s) be the second derivative of 0*s**2 + 3/20*s**5 + 11*s + 1/20*s**6 + 0*s**3 + 0*s**4 + 0. Find u, given that k(u) = 0.
-2, 0
Determine p so that 1/7*p**2 - 39/7*p - 40/7 = 0.
-1, 40
Let n(m) = 525*m**2 - 540*m - 51. Let z(d) = -175*d**2 + 180*d + 19. Let h(u) = -4*n(u) - 11*z(u). Suppose h(r) = 0. What is r?
1/35, 1
Factor 2/3*v**3 + 4394000/3 + 260*v**2 + 33800*v.
2*(v + 130)**3/3
Solve 2*t**2 + 2*t**4 + 5 - 9*t**2 + 27 - t**2 - 8*t**2 = 0 for t.
-2, 2
Let m be (-12 + (-9 - -15) - -9)*(-4)/(-6). Determine h so that -5/6*h - 1/6*h**m - 2/3 = 0.
-4, -1
Let t(w) be the third derivative of 4/15*w**3 + 1/15*w**4 - 4*w**2 + 0*w - 1/150*w**5 - 1/300*w**6 + 0. Factor t(o).
-2*(o - 2)*(o + 1)*(o + 2)/5
Let i(n) = -2*n**2 + 2*n. Let j(q) = q**3 - 7*q**2 + 6*q. Let w(o) = 7*i(o) - 2*j(o). Factor w(a).
-2*a*(a - 1)*(a + 1)
Suppose 0*v - 2/3*v**4 + 0*v**2 + 34/3*v**3 + 0 = 0. What is v?
0, 17
Factor -16*z + 4*z**5 + 4*z**3 + 79*z**4 - 40*z**2 - 63*z**4 - 3 + 35.
4*(z - 1)**2*(z + 2)**3
Let f = 143 - 141. Factor 8*h**3 + 36/7*h + 8/7 + 64/7*h**f + 4/7*h**5 + 24/7*h**4.
4*(h + 1)**4*(h + 2)/7
Let y be (-5 + (-104)/(-24))*521/(-2). Let l = 174 - y. Let l - 1/6*o**2 + 1/6*o = 0. Calculate o.
-1, 2
Let g(z) be the first derivative of -8*z**5/35 + z**4 - 8*z**3/21 - 6*z**2/7 - 81. Suppose g(u) = 0. Calculate u.
-1/2, 0, 1, 3
Let x be 17362/10 - 3/15. Suppose 0 = -3*d + 6*d - 5*g - x, -4*g = d - 556. Factor -3*w**2 + d*w - 572*w + 3.
-3*(w - 1)*(w + 1)
Let k(a) be the first deriva