vative of 0 - 10*p**2 + 0*p**4 + 0*p**6 + 0*p**3 - 1/840*p**7 + 0*p + 1/240*p**5. Find j such that c(j) = 0.
-1, 0, 1
Let r be ((-13)/26)/((1 + 1)/(-12)). Factor 7*t**3 - 5*t**3 + 8*t - r*t**3 + 2*t**4 - 5*t**3.
2*t*(t - 2)**2*(t + 1)
Suppose -3*m = -4*m + 2. Let b(j) be the first derivative of -j**3 - 1 - 18*j + 2*j**3 - 3*j**m + 21*j. Solve b(r) = 0.
1
Let o(c) = 2*c**2 - 2*c - 10. Suppose 35 - 34 = i. Let y(m) = 1. Let s(g) = i*o(g) - 2*y(g). Factor s(h).
2*(h - 3)*(h + 2)
Let o(c) be the first derivative of 1/2*c**4 - c - 5/6*c**2 - 36 - 1/18*c**6 + 2/9*c**3 + 1/15*c**5. Factor o(v).
-(v - 3)*(v - 1)*(v + 1)**3/3
Let g = -9/25 + 261/100. Let w(t) be the first derivative of 3/5*t**5 + 0*t + 4 + 3/2*t**2 + g*t**4 + 3*t**3. Factor w(l).
3*l*(l + 1)**3
Let n(k) = -2*k**3 - k**2 - 30*k - 44. Let c(f) = -f**3 - f**2 - 15*f - 21. Let t(w) = -13*c(w) + 6*n(w). Factor t(s).
(s + 1)*(s + 3)**2
Let o(c) = 2*c**4 - 3*c**3 - 2*c**2 + 3*c - 3. Let v(i) = 5*i**4 - 8*i**3 - 5*i**2 + 8*i - 8. Let n(g) = -8*o(g) + 3*v(g). Factor n(y).
-y**2*(y - 1)*(y + 1)
Let p(g) be the second derivative of g**7/4200 + g**6/900 - 7*g**3/6 - 5*g. Let l(u) be the second derivative of p(u). Factor l(a).
a**2*(a + 2)/5
Let t(q) be the first derivative of -6/17*q + 2/17*q**3 - 1/17*q**2 - 24 + 1/34*q**4. Factor t(z).
2*(z - 1)*(z + 1)*(z + 3)/17
Let a(t) be the third derivative of -t**6/240 + 4*t**5/15 + 11*t**4/16 - 180*t**2. Determine n so that a(n) = 0.
-1, 0, 33
Let v = 2861 - 22861/8. Solve -3/8*y**4 - v*y**2 + 9/4*y**3 + 0 + 3/2*y = 0 for y.
0, 1, 4
Let l be 0 - -34 - (-3 + 1). Factor -31 - 15*h**2 + 12*h - 2*h + l.
-5*(h - 1)*(3*h + 1)
Let a = 6759 + -19978/3. Let r = a + -99. Factor 0*q + q**4 + 4/3 - 3*q**2 + r*q**3.
(q - 1)**2*(q + 2)*(3*q + 2)/3
Let f(y) be the first derivative of -3/28*y**4 - 36/7*y**2 + 19 - 9/7*y**3 - 48/7*y. Determine r, given that f(r) = 0.
-4, -1
Let b(t) be the third derivative of t**5/330 + 61*t**4/132 - 42*t**3/11 - 9*t**2 - 7*t. Factor b(d).
2*(d - 2)*(d + 63)/11
Let h be 5*1 + (-18)/((-972)/(-225)). Find m, given that -m**2 - 2/3*m + h*m**3 - 1/6*m**4 + 4/3 = 0.
-1, 2
Let k(n) = n**3 + 8*n**2 + 4*n. Let y be k(-7). Determine l so that -l**3 + 19*l + 3*l**2 + y*l - 38*l + 2*l**3 = 0.
-2, -1, 0
Let c(y) be the second derivative of -y**6/150 - 9*y**5/100 - y**4/4 + 5*y**3/6 - 64*y - 5. Factor c(j).
-j*(j - 1)*(j + 5)**2/5
Let x(b) be the first derivative of 2/3*b**3 + 1/180*b**5 + 0*b**2 - 4 + 0*b + 1/540*b**6 - 1/18*b**4. Let z(g) be the third derivative of x(g). Factor z(q).
2*(q - 1)*(q + 2)/3
Suppose 9/4*l + 3/4*l**2 + 0 + 1/4*l**4 - 5/4*l**3 = 0. Calculate l.
-1, 0, 3
Suppose 21 + 135 = 13*f. Suppose -4*s = -7*s + f. Factor 0 + 0*q - 2/7*q**2 - 4/7*q**s + 6/7*q**3.
-2*q**2*(q - 1)*(2*q - 1)/7
Let y(w) be the first derivative of -w**8/1680 - w**7/840 + w**6/180 - 4*w**3/3 - 3. Let q(m) be the third derivative of y(m). Factor q(s).
-s**2*(s - 1)*(s + 2)
Let g(n) = 11*n**3 - 20*n**2 + 21*n - 19. Let d(p) = -8*p - 3*p + 9 + 38*p**2 - 28*p**2 - 5*p**3. Let u(r) = -7*d(r) - 3*g(r). Factor u(i).
2*(i - 3)*(i - 1)**2
Suppose 3*i + 3 = 3*t - 0*i, 0 = -3*t + 2*i + 4. Suppose 3*o - s - 1 = 0, 2*s = -5*o + 2*o - t. What is a in o*a**2 - 2/5*a**3 + 6/5*a - 4/5 = 0?
-2, 1
Suppose 5*l - 8 = 2*f, 221*l - 220*l + 1 = 3*f. Determine u so that 0*u - 1/3*u**4 + u**3 - 2/3*u**l + 0 = 0.
0, 1, 2
Let x(p) be the first derivative of 0*p + 12 - 3/4*p**4 + 1/5*p**5 - 1/3*p**3 + 3/2*p**2. Let x(j) = 0. What is j?
-1, 0, 1, 3
Let f be 392/147*((-3)/(-2) - 0). Factor -p**f + 5*p**2 + p**3 + 16*p**2 - 20*p**2 - p.
-p*(p - 1)**2*(p + 1)
Let b(c) = c**3 + c**2. Let y(w) = -2*w**4 - 6*w**3 + 68*w**2 - 80*w - 800. Let m(p) = 20*b(p) + 2*y(p). Factor m(k).
-4*(k - 5)**2*(k + 4)**2
Suppose i + 2*w - 17 = 0, 3*i - 33 = -158*w + 155*w. Solve -24/7*o**2 - 2/7*o**i - 8/7*o - 12/7*o**4 + 0 - 26/7*o**3 = 0 for o.
-2, -1, 0
Suppose -17*i = -8*i - 14283. Solve 16*v**2 + 9*v**4 + 1583*v - i*v - 4*v**3 - 17*v**3 = 0 for v.
0, 2/3, 1
Let y = 256 + -1023/4. Let t(i) be the first derivative of 1/18*i**6 - 4 + 1/5*i**5 + 1/9*i**3 + y*i**4 + 0*i**2 + 0*i. Solve t(b) = 0 for b.
-1, 0
Let z be ((-3 - 1)/4)/((-2)/4). Factor -5*i**2 + 7*i + i**3 + 2*i**z - 4*i - 1.
(i - 1)**3
Factor -82*y**2 - 60*y**3 + 42*y**2 - 30*y**4 + 7*y - y**5 - 7*y - 4*y**5.
-5*y**2*(y + 2)**3
Let b(u) = -36*u**2 + 24*u + 76. Let s(m) = -7*m**2 + 5*m + 15. Suppose -3*i = -i - 4*y + 22, -5*i - 3 = 3*y. Let k(x) = i*b(x) + 16*s(x). Factor k(t).
-4*(t - 3)*(t + 1)
Let j = 10294/7 - 1470. What is l in j - 2/7*l**2 - 2/7*l = 0?
-2, 1
Let w(s) = s**2 + s - 1. Let o be w(2). Let h be o + 3/(0 - 1). Let -20*j**3 + h + 19*j**3 + j - 1 - j**2 = 0. What is j?
-1, 1
Let k be ((17/(-4))/17)/((-57)/24). Solve -4/19*i - 6/19 + k*i**2 = 0 for i.
-1, 3
Let a = -1324 + 1327. Determine g, given that 2/3*g**4 + 26/3*g**2 - 4*g**a - 8*g + 8/3 = 0.
1, 2
Let z(b) be the third derivative of 0*b**3 + 0*b**7 - 3/8*b**4 + 1/112*b**8 - 3/20*b**6 + 0 + 0*b - 2*b**2 - 2/5*b**5. Suppose z(v) = 0. Calculate v.
-1, 0, 3
Let z = -2460 - -27062/11. Let 2/11*a**2 - 2/11*a**5 - z*a**4 + 0*a + 2/11*a**3 + 0 = 0. What is a?
-1, 0, 1
Let u be (-5)/((-2)/(0 + 2)). Suppose r = u*b - 21, -r + 3 + 16 = 5*b. Determine m so that 2/3*m**3 + 0 - 2/3*m**b + 0*m + 4/3*m**2 = 0.
-1, 0, 2
Suppose 4*b + 17 - 5 = 0, -4*b = 2*n + 6. What is s in n*s + 4*s**3 + 1226 - 1226 - 2*s**5 - 5*s = 0?
-1, 0, 1
Let u = -7423/4 + 1856. Factor 1/4*y**3 - 1/4*y + 1/2 - 3/4*y**2 + u*y**4.
(y - 1)**2*(y + 1)*(y + 2)/4
Let p be 3 - (((-6)/(-1))/(-42) - 1368/(-462)). Suppose 8/11*c - 2/11*c**3 - 8/11 + p*c**2 = 0. Calculate c.
-2, 1, 2
Let z(k) be the third derivative of k**6/60 - k**5/2 + 47*k**4/12 + 21*k**3 + 7*k**2 - 9. What is t in z(t) = 0?
-1, 7, 9
Suppose -4*r + 2 = -3*r. Let m = 17 + -15. Find p such that -2*p - 4*p**r + 2*p**3 + 4 + 6*p**m - 6*p**2 = 0.
-1, 1, 2
Find v such that 1/3*v**4 + v**3 + 0 + 28/3*v - 8*v**2 = 0.
-7, 0, 2
Let o(v) be the first derivative of 16*v**4 - 288*v**3 + 594*v**2 - 432*v + 181. Find m such that o(m) = 0.
3/4, 12
Let v(z) be the second derivative of 7 + 0*z**2 + 3*z - 2*z**3 + 3/40*z**5 - 1/4*z**4. Factor v(k).
3*k*(k - 4)*(k + 2)/2
Let y(d) = 8*d - 62. Let o be y(8). Let z(x) be the second derivative of 0 + 2/21*x**3 - 1/42*x**4 - 1/7*x**o + x. Let z(f) = 0. Calculate f.
1
Let v = -42 + 66. Let l be v/(-252)*-3*2. Factor -2/7*i**3 - 2/7*i + 0 - l*i**2.
-2*i*(i + 1)**2/7
Let m = 450140/22023 + 12/2447. Let f(v) be the second derivative of 10/9*v**6 + 0 - 64/3*v**3 + m*v**4 + 32/3*v**2 + 4*v - 8*v**5. Solve f(g) = 0.
2/5, 2
Let n(c) be the first derivative of c**4/5 - 8*c**3/3 + 34*c**2/5 - 32*c/5 - 47. Factor n(r).
4*(r - 8)*(r - 1)**2/5
Let k(j) be the third derivative of -j**6/160 + 17*j**5/80 + 5*j**4/2 + 21*j**3/2 - 6*j**2 - 5. What is r in k(r) = 0?
-2, 21
Let q be (-114)/(-304) + 14/48. Let u(k) be the first derivative of -k**6 - q*k**3 + 2*k**5 - 4 + 0*k**2 - 1/2*k**4 + 0*k. Factor u(x).
-2*x**2*(x - 1)**2*(3*x + 1)
Let p(o) be the third derivative of o**9/432 - o**8/140 - o**7/210 + 3*o**3/2 + 4*o**2. Let c(j) be the first derivative of p(j). Suppose c(t) = 0. What is t?
-2/7, 0, 2
Factor 105*y - 22*y**3 - 49*y + 32*y**2 + 12*y**3 + 180 + 82*y + 12*y**3.
2*(y + 3)**2*(y + 10)
Let t(u) = -11*u**2 + u. Let l(j) = -325*j**2 - 810*j + 35280. Let s(y) = -l(y) + 30*t(y). Solve s(q) = 0 for q.
84
Suppose 109 = w + 4*k, -3*k + 258 = 2*w - 5*k. Factor 125*f + f**2 - w*f.
f**2
Let o = 708 - 701. Let u(b) be the first derivative of 0*b + 2/3*b**3 - o + 0*b**2 - 1/2*b**4. Factor u(v).
-2*v**2*(v - 1)
Let q(c) be the second derivative of 32*c + 2/3*c**3 + 0 - 1/6*c**4 + 3*c**2. Find w, given that q(w) = 0.
-1, 3
Suppose -7*f - 216 = -f. Let c = 40 + f. Factor 3/2*z - 1/2*z**5 - 1/2 - z**2 - z**3 + 3/2*z**c.
-(z - 1)**4*(z + 1)/2
Let r be 1 + (-3 - 170/(-70)). What is f in -12/7*f + 3/7*f**3 - r*f**2 + 12/7 = 0?
-2, 1, 2
Let a(w) = 3*w**2 + 58*w + 74. Let x be a(-18). Find g such that -x*g**2 - 10/7*g**5 + 2*g**4 + 0 + 6/7*g**3 + 4/7*g = 0.
-1, 0, 2/5, 1
Let b(n) be the first derivative of 21*n**4/4 + 16*n**3 + 33*n**2/2 + 6*n + 49. Solve b(k) = 0.
-1, -2/7
Find x, given that 11*x**3 - 26*x**2 + 5*x**5 + 2*x**4 + 12*x - 7*x**5 + 3*x**3 = 0.
-3, 0, 