 + 2*v - 1. Let g be d(-3). Let r(a) = 2*a + 16. Let i be r(g). Factor 64 - 2*s**3 - 6*s + 12*s**i + s**3 - 42*s.
-(s - 4)**3
Let r(s) be the third derivative of s**5/210 + 13*s**4/84 - 10*s**3/7 - 2*s**2 + 183. Find v, given that r(v) = 0.
-15, 2
Let g(s) be the first derivative of -s**6/42 + 2*s**5/5 - 33*s**4/28 - 16*s**3/3 - 32*s**2/7 + 204. Let g(h) = 0. What is h?
-1, 0, 8
Let r(g) be the second derivative of -g**9/37800 + g**7/6300 + g**4/12 + 3*g. Let p(f) be the third derivative of r(f). Determine m so that p(m) = 0.
-1, 0, 1
Let f = 2 - -1. Let t(r) = -r**2 + 2*r + 5. Let m be t(f). Solve d**m + 3*d - 5*d - 2 + 0 + 3*d = 0 for d.
-2, 1
Let r(o) = -2*o**4 - 6*o**3 + 8*o**2 + 20*o + 12. Let z(c) = 4*c**4 + 12*c**3 - 17*c**2 - 39*c - 24. Let h(g) = 5*r(g) + 2*z(g). Factor h(f).
-2*(f - 2)*(f + 1)**2*(f + 3)
Suppose 2*y + 3*n = 0, -3*y + 14 = -0*y + n. Let i(a) be the third derivative of 0*a**3 + 0 + 1/120*a**y - 2*a**2 + 1/12*a**4 - 1/20*a**5 + 0*a. Factor i(p).
p*(p - 2)*(p - 1)
Let z = -3/191 + 961/382. Let i(y) be the first derivative of 1 - 5*y**3 - z*y**2 + 0*y - y**5 - 15/4*y**4. Factor i(b).
-5*b*(b + 1)**3
Let p(c) = c**3 + 90*c**2 - 10*c - 896. Let x be p(-90). Find j such that 2/15*j**x + 2/3*j**3 + 4/5*j**2 - 8/15*j - 16/15 = 0.
-2, 1
Let v(t) = -21*t**3 + 57*t**2 - 54*t + 12. Let r(m) be the first derivative of m**4/4 - m**3/3 + m**2/2 + 27. Let q(z) = 6*r(z) + v(z). Factor q(s).
-3*(s - 2)*(s - 1)*(5*s - 2)
Let o(g) be the first derivative of g**6/42 + 2*g**5/35 - g**4/7 - 8*g**3/21 + 61. Solve o(v) = 0 for v.
-2, 0, 2
Let -190*m**2 + 180*m - 159*m**3 - 28*m**4 + 52*m**4 - 19*m**4 - 21*m**3 + 185 = 0. What is m?
-1, 1, 37
What is d in 189*d - 2*d**2 - 169*d - 190*d = 0?
-85, 0
Let l(v) be the second derivative of -8 + 2*v + 2/5*v**2 + 1/75*v**6 - 1/10*v**5 - 7/15*v**3 + 3/10*v**4. Determine x, given that l(x) = 0.
1, 2
Let f be (-5)/((-35)/8) + (-102)/(-119). Factor 0 + 0*u + 2/5*u**f - 2/5*u**3.
-2*u**2*(u - 1)/5
Let w be (2/(-21))/(-7 - (-3 - 3)). Let u(a) be the second derivative of -w*a**3 + 1/42*a**4 + 1/35*a**5 - a + 0 + 0*a**2 - 1/105*a**6. What is f in u(f) = 0?
-1, 0, 1, 2
Let g = -48 - -145/3. Let k = 100 + -97. Suppose 1/3 + 1/3*t**k - 1/3*t - g*t**2 = 0. What is t?
-1, 1
Suppose -t - 64*t + 6*t + 118 = 0. Factor -1/5 + 1/5*m**t + 0*m.
(m - 1)*(m + 1)/5
Find m, given that 3*m**3 + m**5 + 8 - 2*m**3 - 16 - 4*m**4 - 4*m + 10*m**2 = 0.
-1, 2
Let w be -10 + 1 - (-7 - -2). Let m be 52*(-4)/360 - w/5. Suppose 8/9*b - 8/9 - m*b**2 = 0. What is b?
2
Let g be 1 + 48/(-40) + 366/1680. Let f(y) be the third derivative of 0*y - 1/140*y**5 + 1/7*y**3 - 10*y**2 - g*y**4 + 0. Determine i so that f(i) = 0.
-2, 1
Let n(g) = -13*g - 33. Let u be n(6). Let s = 111 + u. Find a, given that 4/9*a**5 - 2/9*a**3 + 0*a**2 + s*a + 2/9*a**4 + 0 = 0.
-1, 0, 1/2
Let y(m) be the third derivative of m**5/60 - m**4/30 - 2*m**3/5 - 135*m**2. Solve y(o) = 0 for o.
-6/5, 2
Let x be 105/33 + 2/(-11). Let k(b) be the first derivative of -10 + 1/9*b**x - 1/3*b**2 + 1/3*b. Factor k(q).
(q - 1)**2/3
Let l(m) be the first derivative of 2*m**5/45 + m**4/3 + 2*m**3/3 + 4*m**2/9 - 50. Factor l(w).
2*w*(w + 1)**2*(w + 4)/9
Let s = -533 + 926. Suppose s*i**2 - 11*i + 251*i + 481*i**2 + 16 + 26*i**2 = 0. Calculate i.
-2/15
Factor -5/2*y**2 - 5 - 1/4*y**3 - 29/4*y.
-(y + 1)*(y + 4)*(y + 5)/4
Let n(u) be the first derivative of 1/2*u**2 + 1/3*u**3 + 1/3*u + 1/12*u**4 + 12. Suppose n(r) = 0. What is r?
-1
Factor -2/9*f**3 + 2/9*f + 2/3*f**2 - 2/3.
-2*(f - 3)*(f - 1)*(f + 1)/9
Let i be (51/(-34))/((-38)/(-57)*18/(-16)). What is p in -6/5*p**4 + 0*p**i + 8/5*p + 0 - 14/5*p**3 = 0?
-2, -1, 0, 2/3
Let g(j) = -16*j**2 + 23*j - 32. Let a(n) = -n**2 - n - 1. Let x(z) = -21*a(z) + 3*g(z). Factor x(v).
-3*(3*v - 5)**2
Let o(j) be the first derivative of 3 + 2/5*j**3 - 12/5*j**2 + 0*j. Determine b, given that o(b) = 0.
0, 4
Let o = -290 + 290. Let x(t) be the third derivative of o*t + 7/8*t**4 + 0 + 5*t**2 + 1/8*t**6 + 1/70*t**7 + t**3 + 9/20*t**5. Factor x(w).
3*(w + 1)**3*(w + 2)
Let z(s) be the first derivative of s**4/18 + 52*s**3/3 + 2028*s**2 + 105456*s - 842. Solve z(a) = 0.
-78
Let u(b) be the second derivative of b**4/78 - 2*b**3/3 - 22*b. Solve u(t) = 0.
0, 26
Factor -3/2 - 3/4*c**2 + 9/4*c.
-3*(c - 2)*(c - 1)/4
Suppose -29*f + 36*f + 98 = 0. Let t be 16/10 - f/35. Let 2/5*z + 1/5 - 3*z**t = 0. What is z?
-1/5, 1/3
Let p(x) be the first derivative of -3*x**4/2 - 615*x**3/2 - 35343*x**2/2 + 17787*x/2 - 223. Factor p(d).
-3*(d + 77)**2*(4*d - 1)/2
Factor 10/3*z**2 - 2/3*z**3 + 0 - 8/3*z.
-2*z*(z - 4)*(z - 1)/3
Suppose 0 = -5*b + 2*f + 10, 4*f + 15 = 2*b + 27. Let h(y) be the first derivative of 0*y - 3/8*y**b + 1/3*y**3 - 3 + 0*y**2 + 1/10*y**5. Factor h(j).
j**2*(j - 2)*(j - 1)/2
Let s(y) = 72*y**2 - 19 + 2 + 2*y - 66*y**2 + 5. Let i = 1 - -7. Let a(o) = -4*o**2 - o + 8. Let k(l) = i*a(l) + 5*s(l). Suppose k(b) = 0. Calculate b.
-1, 2
Let z(m) = -m**2 - 23*m + 52. Let s be z(-25). Let s*k**2 - 23 + 2*k**2 - 2*k**2 + 21 = 0. What is k?
-1, 1
Let g(n) = -35*n**3 - 62*n**2 - 25*n - 1. Suppose 4*u = -3*s - 19 - 10, 2*s + 1 = u. Let y(t) = -t**2 + t + 1. Let h(j) = s*y(j) + g(j). Solve h(b) = 0.
-1, -2/5, -2/7
Let g(i) be the third derivative of 0*i - 1/480*i**6 + 0 - 1/240*i**5 + 10*i**2 + 5/96*i**4 - 1/8*i**3. Let g(j) = 0. Calculate j.
-3, 1
Let q = 65 + -58. Let z(r) be the third derivative of 1/20*r**5 - 1/20*r**6 + 0*r + 0*r**3 + 0*r**4 + 5*r**2 + 1/70*r**q + 0. Factor z(p).
3*p**2*(p - 1)**2
Let o(q) be the second derivative of 9*q**2 + 23*q + 0 - 25/2*q**3 + q**4. Determine u, given that o(u) = 0.
1/4, 6
Factor 3*b - 8*b**4 + 3*b**4 - 2*b**3 + 2*b**4 + 3*b**2 - b**3.
-3*b*(b - 1)*(b + 1)**2
Let j = -100 + 112. Let f(v) = 9*v**4 - 9*v**2 + 12*v. Let i(n) = n**3 + n**2 - n. Let o(s) = j*i(s) + f(s). Solve o(t) = 0.
-1, -1/3, 0
Find a such that 12/5*a**2 + 2/5*a**4 - 16/5 + 2*a**3 - 8/5*a = 0.
-2, 1
Let m(f) be the third derivative of 1/60*f**5 + 27*f**2 + 0*f**3 + 0 + 0*f + 3/8*f**4. Determine z so that m(z) = 0.
-9, 0
Factor -37 - 34 + 115*b - 30*b**2 - 14.
-5*(b - 1)*(6*b - 17)
Let h be (38 - 18)*2/10. Let c(g) be the second derivative of 1/4*g**h + 0*g**2 + 6*g + 1/2*g**3 + 0. Factor c(a).
3*a*(a + 1)
Suppose 3*t - 18 = 5*t. Let k be (-24)/t*18/8. Factor -6*p**3 + 2*p**2 - p**4 + p**4 + 2*p**4 - 4 + k*p.
2*(p - 2)*(p - 1)**2*(p + 1)
Let x(v) be the first derivative of 0*v**4 - 1/10*v**5 - 45 + 1/6*v**3 + 1/8*v**2 - 1/24*v**6 + 0*v. Factor x(t).
-t*(t - 1)*(t + 1)**3/4
Let y be -2 + 9 - ((-1716)/8)/(-33). Factor y*h**3 + 1/12*h**2 + 4/3 - 2*h + 1/12*h**4.
(h - 1)**2*(h + 4)**2/12
Let t(o) = o**2 + 7*o + 25. Let u(p) = -p. Let m(a) = -2*a. Let g(n) = m(n) - u(n). Let z(r) = 3*g(r) - t(r). Factor z(c).
-(c + 5)**2
Factor -150*p + 40 + 25*p**4 + 43*p**2 + 98*p**2 - 120*p**3 - 42*p**2 + 106*p**2.
5*(p - 2)*(p - 1)**2*(5*p - 4)
Let c(d) = d + 7. Let n be c(-5). Let p = -4/49 - -18/49. Find u such that -4/7*u**n - p*u**3 + 0 - 2/7*u = 0.
-1, 0
Let k = -1861/85 + 379/17. Factor -k*w + 1/5*w**2 - 8/5.
(w - 4)*(w + 2)/5
Let m(s) = s. Let a(d) = 21*d**3 + 69*d**2 - 190*d - 60. Let q(k) = -a(k) + 2*m(k). Find h, given that q(h) = 0.
-5, -2/7, 2
Let f(a) = a**2 + 7*a - 6. Let p be f(-8). Suppose 6 = 3*s - 6. Find d, given that 3*d**4 + s*d**5 + p*d**3 - 6*d**3 - 2*d**5 - d**4 = 0.
-2, 0, 1
Let k(g) be the second derivative of -g**6/30 + 2*g**5/5 - 3*g**4/2 + 8*g**3/3 - 5*g**2/2 - 426*g. Find x, given that k(x) = 0.
1, 5
Let c(f) = 6*f - 12*f + 10*f + 5*f**2. Let v(i) = 9*i**2 + 7*i. Let a(p) = 5*c(p) - 3*v(p). Solve a(r) = 0 for r.
-1/2, 0
Suppose 12/5*m - 36/5 - 3*m**3 - 9/5*m**4 + 9*m**2 + 3/5*m**5 = 0. Calculate m.
-2, -1, 1, 2, 3
Let c(i) be the second derivative of -i**7/105 - 7*i**6/75 - 3*i**5/10 - 13*i**4/30 - 4*i**3/15 + 188*i. Factor c(q).
-2*q*(q + 1)**3*(q + 4)/5
Let o(i) be the first derivative of 2*i**5/15 + 13*i**4/6 - 8*i**3/9 - 52*i**2/3 - 315. Factor o(k).
2*k*(k - 2)*(k + 2)*(k + 13)/3
Let f(n) = 26*n + 76. Let s(j) = -j**2 + 51*j + 150. Let h(k) = 5*f(k) - 2*s(k). Factor h(b).
2*(b + 4)*(b + 10)
Suppose 114*a = 672 - 102. Let d(y) be the second derivative of 3/35*y**a + 2/105*y**6 + 0*y**3 + 0 + 2/21*y**4 + 5*y + 0*y**2. Factor d(c).
4*c**2*(c + 1