(r) be the first derivative of -2*r**4 - 896*r**3/9 - 49*r**2 + 74*r/3 + 675. Determine y so that o(y) = 0.
-37, -1/2, 1/6
Let d(v) = 3*v - 24. Let x be d(7). Let i be 8/(-4) + (-15)/x. Factor 0*b**i + 4/5*b**2 - 3/5*b**4 + 1/5*b**5 + 0 + 0*b.
b**2*(b - 2)**2*(b + 1)/5
Let q(t) = t**3 - 19*t**2 + 3*t - 50. Let h be q(19). Suppose h*z = 8*z. Factor -2/3*b**4 + z + 2/3*b + 2*b**3 - 2*b**2.
-2*b*(b - 1)**3/3
Let h(d) = d**5 + 3*d**4 - 8*d**3 - 4*d**2 - 4*d. Let p(g) = 3*g**5 + 9*g**4 - 23*g**3 - 11*g**2 - 11*g. Let l(o) = 11*h(o) - 4*p(o). Let l(m) = 0. Calculate m.
-4, 0, 1
Let p(s) be the first derivative of 0*s + 1/34*s**4 + 4/17*s**3 + 9/17*s**2 + 24. Factor p(o).
2*o*(o + 3)**2/17
Suppose 0 = 4*y - 6*d + 3*d - 10, 3*d = -2*y + 14. Let i(b) be the first derivative of -1/12*b**3 - b**2 - 4*b + y. Find r such that i(r) = 0.
-4
Let o = 61/159 - -15/53. Let z(j) be the second derivative of 1/6*j**4 - 3/10*j**6 - 1/2*j**2 + 0 - o*j**3 + 3/5*j**5 + 5*j. Determine u so that z(u) = 0.
-1/3, 1
Suppose -4*i - 6 = 2, -2*h - 2*i = 246. Let j = h + 121. Suppose 0*n**2 - 2/7*n**3 + 8/7*n + j = 0. Calculate n.
-2, 0, 2
Factor 6*c**3 + 6*c**2 + 0*c + 0 + 3/2*c**4.
3*c**2*(c + 2)**2/2
Let x(m) be the second derivative of 5*m**4/12 - 15*m**3/2 + 2*m + 3. Factor x(l).
5*l*(l - 9)
Let j(m) be the second derivative of m**4/48 - 13*m**3/24 + 3*m**2/2 - 56*m. Determine x so that j(x) = 0.
1, 12
Suppose -122*a - 24 = -134*a. Factor 1/3*l + 1/6*l**a + 1/6.
(l + 1)**2/6
Let y = -702 + 702. Let d(m) be the second derivative of -4*m - 1/6*m**4 + 1/5*m**5 + 0 + y*m**2 + 0*m**3 - 1/15*m**6. Factor d(k).
-2*k**2*(k - 1)**2
Factor 44/17*c**2 + 2/17*c**3 + 242/17*c + 0.
2*c*(c + 11)**2/17
Solve 5/2*o**2 - 2 + 3/2*o - 1/2*o**4 - 3/2*o**3 = 0.
-4, -1, 1
Let i(p) = 645*p**3 - 1617*p**2 + 1347*p - 378. Let q(d) = -1289*d**3 + 3233*d**2 - 2693*d + 757. Let j(w) = -7*i(w) - 3*q(w). Factor j(h).
-3*(6*h - 5)**3
Let l(t) be the third derivative of t**5/60 - t**4 + 23*t**3/6 - 162*t**2 + 2. What is h in l(h) = 0?
1, 23
Let n(s) be the second derivative of -33275*s**5/16 + 9075*s**4/16 - 495*s**3/8 + 27*s**2/8 - 134*s. Suppose n(c) = 0. What is c?
3/55
Find g, given that 10 - 2/5*g**4 - 20*g + 48/5*g**2 + 4/5*g**3 = 0.
-5, 1, 5
Let n(q) be the first derivative of -q**5/15 + q**4/3 + 5*q**2/2 - 6. Let s(t) be the second derivative of n(t). Determine o, given that s(o) = 0.
0, 2
Factor 18*n**4 - 49 - 66 - 3072*n + 115 + 48*n**3 - 640*n**2 + n**5.
n*(n - 6)*(n + 8)**3
Factor -510*v**4 + 10*v**2 - 4*v**3 - 8*v**3 - v**2 + 42*v + 507*v**4 + 24 + 0*v**3.
-3*(v - 2)*(v + 1)**2*(v + 4)
Suppose -c + 3*c - 2 = 0. Let s(m) = 3*m**2 + 10*m. Let v(g) = g. Let q(i) = c*v(i) - s(i). Factor q(f).
-3*f*(f + 3)
Solve -476 + 39*n**2 - 3*n**3 - 96*n + 560 - 6*n**2 = 0 for n.
2, 7
Let v(b) be the third derivative of -1/75*b**5 + 1/15*b**4 - 11*b**2 + 0*b**3 + 0*b + 0. Suppose v(h) = 0. Calculate h.
0, 2
Let o be 5637/6336 + 8/(-12) - 0. Let g = o + 9/64. Factor -6/11*k - 2/11*k**2 - g.
-2*(k + 1)*(k + 2)/11
Let q(w) be the third derivative of w**11/332640 - w**10/75600 + w**9/60480 + 23*w**5/30 - w**2 + 5*w. Let h(f) be the third derivative of q(f). Factor h(i).
i**3*(i - 1)**2
Factor -2/13*l**4 + 0 - 6/13*l**3 + 0*l + 0*l**2.
-2*l**3*(l + 3)/13
Factor -5*t**2 + 3*t**3 + 5*t**4 + t**5 - t**3 + 2*t**3 - 5*t**3.
t**2*(t - 1)*(t + 1)*(t + 5)
Let s = 699 - 699. Let x(r) be the first derivative of 1/36*r**6 + 0*r + 0*r**2 - 1/30*r**5 - 7 + s*r**3 + 0*r**4. What is y in x(y) = 0?
0, 1
Let r be 4/(-12) + 13/3. Suppose -3*o + v + 1 = -r, 0 = -5*o + v + 9. Determine l so that -36*l**o + 3*l + 7*l - 22*l + 27*l**3 + 21*l**4 = 0.
-2, -2/7, 0, 1
Find z such that -3/4*z - 3/4*z**2 + 0 = 0.
-1, 0
Let j(y) be the third derivative of y**8/504 - 4*y**7/105 - 7*y**6/90 + 2*y**5/15 + 13*y**4/36 + 31*y**2 - 3. Determine a, given that j(a) = 0.
-1, 0, 1, 13
Suppose 0*l**2 + 16/5 - 12/5*l + 1/5*l**3 = 0. What is l?
-4, 2
Suppose -5*j = -0*j - 20. Factor 36*v**2 - 5 + 44*v**3 + 26*v**j + 6*v**5 + 1 + 14*v + 0*v**2 + 6.
2*(v + 1)**4*(3*v + 1)
Let a be 40/12*(-7 - (-272)/40)/(-1). Suppose a*g + 1/3*g**2 - 8/3 = 0. What is g?
-4, 2
Let p(z) be the first derivative of 2*z**6/3 + 16*z**5/5 - 15*z**4 - 40*z**3/3 + 88*z**2 - 96*z + 149. Suppose p(t) = 0. Calculate t.
-6, -2, 1, 2
Let g(l) be the second derivative of -l**6/105 + l**5/10 - 5*l**4/21 - l + 34. Find q, given that g(q) = 0.
0, 2, 5
Find m, given that 13/5*m + 2 - 8/5*m**2 - 2/5*m**4 + 1/5*m**5 - 14/5*m**3 = 0.
-2, -1, 1, 5
Let q = 851 + -1477/2. Let t = q + -111. Find z, given that t*z - 1/2 - 3/2*z**2 + 1/2*z**3 = 0.
1
Let z(r) = -4*r**2 - 50*r + 63. Let c(q) = 7*q**2 + 105*q - 127. Let m(k) = -6*c(k) - 10*z(k). Factor m(j).
-2*(j - 1)*(j + 66)
Let t(g) be the first derivative of -g**5/20 - 5*g**4/8 - 3*g**3/4 + 27*g**2/2 + 27*g - 15. Factor t(m).
-(m - 3)*(m + 1)*(m + 6)**2/4
Let z(i) = 7*i**4 + 23*i**3 - 35*i**2 - 23*i + 30. Let u(y) = -29*y**4 - 91*y**3 + 140*y**2 + 91*y - 120. Let b(j) = 2*u(j) + 9*z(j). Let b(a) = 0. Calculate a.
-6, -1, 1
Let y(m) be the second derivative of -1/4*m**5 + 3*m - 2*m**2 - 8/3*m**3 - 17/12*m**4 + 16. Factor y(u).
-(u + 1)*(u + 2)*(5*u + 2)
Let q(k) be the third derivative of -k**9/3024 + k**8/672 + k**7/168 + 11*k**4/12 + 28*k**2. Let o(d) be the second derivative of q(d). What is u in o(u) = 0?
-1, 0, 3
Let h be (-132)/(-432) + (-12)/216. Let s(i) be the third derivative of 0 + 0*i**3 + 0*i - h*i**4 - 1/4*i**5 - 1/10*i**6 + 12*i**2 - 1/70*i**7. Factor s(d).
-3*d*(d + 1)**2*(d + 2)
Suppose -5*j + 2*v + 68 = 0, 4*v + 2 = 6. Let m be (-3)/(j/(-4) + 2). Suppose k**2 - m*k**3 - 3*k**3 + 5*k**3 + k**3 = 0. Calculate k.
-1, 0
Let r(m) = -m**3 + m**2 + m + 1. Let p(u) = 8*u**3 - u**2 - 16*u - 21. Let l(c) = -5*p(c) - 35*r(c). Suppose l(x) = 0. What is x?
-7, -1, 2
Solve 4/7*r**3 + 48/7 - 48/7*r**2 - 4/7*r = 0.
-1, 1, 12
Factor 11*q**4 - 3*q**3 - 19*q**4 - 22*q**4 - 6*q**3.
-3*q**3*(10*q + 3)
Let t(k) be the third derivative of -k**7/630 + k**6/45 - 2*k**5/15 - 5*k**4/12 + 8*k**2. Let m(d) be the second derivative of t(d). Solve m(a) = 0 for a.
2
Let g(d) = 7*d**3 + 3*d**2 + 6*d - 4. Let l(i) = -6*i**3 - 3*i**2 - 5*i + 4. Let n(k) = 5*g(k) + 6*l(k). Factor n(m).
-(m - 1)*(m + 2)**2
Let f(y) be the second derivative of -1/8*y**4 - 2/3*y**3 + 9/40*y**5 + 0 + y**2 + 20*y. Factor f(m).
(m + 1)*(3*m - 2)**2/2
Let m(o) be the first derivative of o**8/896 - 3*o**7/560 + o**6/160 - o**2/2 + 2*o - 47. Let f(n) be the second derivative of m(n). Solve f(x) = 0 for x.
0, 1, 2
Let l be (171/54 - 3)/(5/3). Let u(m) be the second derivative of 0 + m + 1/3*m**4 + l*m**5 + 0*m**2 + 1/3*m**3. Determine x so that u(x) = 0.
-1, 0
Let q(m) be the second derivative of 0 - 1/12*m**6 + 0*m**3 + 0*m**4 - 6*m + 0*m**2 - 5/252*m**7 - 1/12*m**5. Factor q(b).
-5*b**3*(b + 1)*(b + 2)/6
Let z = 5 + -10. Let k = 0 - z. Factor -10*g**4 - 2*g**5 + g**k + 11*g**4.
-g**4*(g - 1)
Let n(k) = 8*k**2 + 72*k - 134. Let m(d) = 2*d**2 - 1. Let t(z) = -6*m(z) + n(z). Solve t(f) = 0.
2, 16
Suppose 5*m + 8 - 23 = 0. Let s be 3*(30/(-9) + m). Let g(u) = -u**2 - 3*u - 11. Let y(c) = c + 1. Let a(w) = s*g(w) + 5*y(w). Factor a(o).
(o + 4)**2
Factor -364/3*b - 169/3 - 28/3*b**3 - 74*b**2 - 1/3*b**4.
-(b + 1)**2*(b + 13)**2/3
Let l = 175 + -175. Let p(v) be the third derivative of 0 - 1/30*v**6 - 1/3*v**3 + 0*v + 1/6*v**4 + 1/105*v**7 + v**2 + l*v**5. Solve p(s) = 0.
-1, 1
Let s(p) be the third derivative of p**7/420 - p**6/240 - p**5/60 + 9*p**2 + p. Solve s(f) = 0 for f.
-1, 0, 2
Suppose 14 = o + 2*y + 6, 0 = 3*o + 4*y - 16. Let d(k) = -k**2 - 43*k - 448. Let b be d(-25). Suppose o - z - 1/3*z**b = 0. What is z?
-3, 0
Suppose -z + 2 = -s, -4*s - 12 = -4*z - z. Let -8 + 2*i**3 - 2*i**5 - 10*i**2 - 2*i**2 + 24*i + 6*i**z - 10*i**2 = 0. What is i?
-2, 1, 2
Let p(f) be the second derivative of 33*f - 16/15*f**5 + 0*f**2 - 2/15*f**6 - 5/3*f**4 - 8/9*f**3 + 4/63*f**7 + 2. Suppose p(o) = 0. What is o?
-1, -1/2, 0, 4
Let c(o) = o**2 - 14*o - 29. Let x be c(16). Let n(y) be the first derivative of 0*y + 2/7*y**4 + 2/35*y**5 + 8/21*y**x + 1 + 0*y**2. What is z in n(z) = 0?
-2, 0
Let 0*k + 0 - 1/7*k**4 - k**3 + 8/7*k**2 = 0. Calculate k.
-8, 0, 1
Let q be 33/6*(-140)/(-385). Suppose 0 + 0*b - 3/5*b*