+ 2*d**4 - 71*d**2. Factor c(i).
3*i*(i - 2)**2*(i + 2)**2
Let z(v) be the third derivative of -v**5/210 + 3*v**4/28 + 12*v**3/7 + 591*v**2. Let z(b) = 0. Calculate b.
-3, 12
Let k(j) be the first derivative of 1/4*j**2 - 1/12*j**3 - 1/4*j + 22. Factor k(b).
-(b - 1)**2/4
Factor 8*k**2 + 24*k**3 - 415 + 5*k**4 - 20*k + 403 - 6*k**5 + 2*k**5 - k**4.
-4*(k - 3)*(k - 1)*(k + 1)**3
Let w(z) be the second derivative of -24*z + 5/2*z**3 + 0 + 0*z**2 + 1/4*z**4. Factor w(k).
3*k*(k + 5)
Let k(w) be the first derivative of 0*w**3 + 2 + 1/21*w**4 - 1/70*w**5 + 0*w**2 - 1/105*w**6 + 2*w. Let p(i) be the first derivative of k(i). Factor p(s).
-2*s**2*(s - 1)*(s + 2)/7
Let b be (-1)/3 - (-61)/3. Suppose 5*i - b = i. Find m such that -2*m**2 + i*m - m + 0 + 6 = 0.
-1, 3
Let j(x) = 7*x**2 - 138*x + 980. Let q(b) = -120*b**2 + 2345*b - 16660. Let u(y) = -35*j(y) - 2*q(y). Factor u(l).
-5*(l - 14)**2
Let n(b) be the second derivative of -b**5/4 - 5*b**4/4 - 5*b**3/3 + 30*b. Factor n(c).
-5*c*(c + 1)*(c + 2)
Suppose 0 = 6*u - 24 - 0. Suppose -3*r = -u*d - 5, 5*r + d = -2 + 18. Factor 0*z**2 - 3/4*z**5 + 3/4*z**4 + 0*z + 0 + 0*z**r.
-3*z**4*(z - 1)/4
Let l(f) be the second derivative of 0*f**2 - 1/10*f**5 + 1/21*f**7 + 17*f - 1/6*f**4 + 1/15*f**6 + 0 + 0*f**3. Solve l(g) = 0.
-1, 0, 1
Let b(c) be the second derivative of c**7/126 - 19*c**5/60 - 17*c**4/18 + 2*c**3/3 + 20*c**2/3 - 85*c. What is y in b(y) = 0?
-2, 1, 5
Let c be 30/45*3/4. Let n be (12/27)/((-6)/(-27)). Factor q**n - c - q**3 + 1/2*q**5 - 1/2*q**4 + 1/2*q.
(q - 1)**3*(q + 1)**2/2
Let x = -12 + 14. Suppose -3 - 1 + 17*z**2 - 15*z**x + 2*z = 0. What is z?
-2, 1
Let z(r) = 3*r**2 - r + 1. Let f be z(1). Determine d so that -370 + 4*d**2 - d + 370 - f*d**3 = 0.
0, 1/3, 1
Let k(o) = -o**2 + 5*o + 3. Let n be k(5). Let -4*s - 2*s**n + 0*s**3 + 8*s**2 - 2*s = 0. Calculate s.
0, 1, 3
Let c be 8/128*-4 + (-50)/(-8). Let h = -92 + 95. Suppose -9*q**h - 3/2*q**5 - 3/2*q + c*q**4 + 6*q**2 + 0 = 0. Calculate q.
0, 1
Suppose 2*l - s - 7 = -3*l, l - 2*s + 4 = 0. Factor -83*v + 3*v**3 - 125 + 45*v**l + 8*v - 8*v**3.
-5*(v - 5)**2*(v + 1)
Let z(v) = -7*v**4 + 25*v**3 + 6*v**2. Let t(x) = -x**4 + 4*x**3 + x**2. Suppose 9*f = -22 + 76. Let o(d) = f*z(d) - 39*t(d). Suppose o(k) = 0. Calculate k.
-1, 0
Let l = -3 - -5. Let f be 2*3/6*l. Factor 1/5 + 0*q - 1/5*q**f.
-(q - 1)*(q + 1)/5
Let g(w) be the first derivative of -w**6/21 + 4*w**5/35 + 6*w**4/7 + 4*w**3/3 + 5*w**2/7 - 49. Factor g(s).
-2*s*(s - 5)*(s + 1)**3/7
Let b(l) be the second derivative of l**6/35 - 8*l**5/35 - 4*l**4/7 + 64*l**3/21 + 48*l**2/7 + 2*l - 7. Solve b(k) = 0 for k.
-2, -2/3, 2, 6
Find a, given that 58/9*a**4 - 188/9*a + 70/9*a**2 + 190/9*a**3 - 128/9 - 2/9*a**5 = 0.
-2, -1, 1, 32
Suppose -5*j = -25 - 0. Suppose -j*n - 1 = -11. Factor -4/3*b - 4/3*b**n + 8/3.
-4*(b - 1)*(b + 2)/3
Let t = 387 - 384. Let y(v) be the second derivative of 1/60*v**6 + 1/8*v**4 + 0*v**2 + 0 + 2*v + 3/40*v**5 + 1/12*v**t. Suppose y(r) = 0. Calculate r.
-1, 0
Let a(u) be the second derivative of u**4/78 + 15*u**3/13 + 86*u**2/13 - 46*u - 6. Find z, given that a(z) = 0.
-43, -2
Let k = -290 - -291. Let u(g) = 9*g**3 - 3*g**2 + 2. Let t be u(k). What is x in 0 + 14/5*x**4 - 8/5*x - 46/5*x**3 + t*x**2 = 0?
0, 2/7, 1, 2
Let n(b) be the first derivative of -b**4/2 + 8*b**3/3 + 15*b**2 - 36*b - 420. Determine y so that n(y) = 0.
-3, 1, 6
Let t(u) be the first derivative of -u**7/1470 + u**6/420 + u**2/2 + 6. Let m(h) be the second derivative of t(h). Factor m(x).
-x**3*(x - 2)/7
Factor 8/7*s**2 - 2/7*s**3 - 2/7*s - 12/7.
-2*(s - 3)*(s - 2)*(s + 1)/7
Let s be (2/6)/((-138)/(-24) + -4). Let c(b) be the first derivative of 0*b**4 + 1/7*b**2 + 4/35*b**5 - 1/21*b**6 - s*b**3 + 0*b + 6. Factor c(u).
-2*u*(u - 1)**3*(u + 1)/7
Let c(p) = 4*p + 61. Let g be c(-14). Factor -23*y**2 - 18*y**2 + 10 + 36*y**2 + g*y.
-5*(y - 2)*(y + 1)
Let s(n) be the first derivative of 0*n**6 + 8*n + 0*n**2 + 0*n**3 + 0*n**4 + 3 + 1/70*n**5 - 1/147*n**7. Let m(t) be the first derivative of s(t). Factor m(a).
-2*a**3*(a - 1)*(a + 1)/7
Let w(a) be the second derivative of 23*a - 5/42*a**4 + 0 - 2/7*a**2 - 1/3*a**3. Factor w(t).
-2*(t + 1)*(5*t + 2)/7
Let a be (-8)/(-14)*42/12. Suppose 0*k**2 - 12*k**2 - a*k - 4*k**3 - 3*k - 3*k = 0. Calculate k.
-2, -1, 0
Let q(n) = -n**4 + 5*n**3 - 8*n - 4. Let i(x) be the third derivative of x**6/120 - x**5/60 - x**4/24 - x**3/6 + 31*x**2. Let k(u) = 4*i(u) - q(u). Factor k(s).
s*(s - 2)*(s - 1)*(s + 2)
Determine s, given that -440/7*s + 2/7*s**2 + 24200/7 = 0.
110
Let o(i) be the second derivative of -5*i**7/42 + i**6/2 + 3*i**5/4 - 55*i**4/12 + 5*i**3 - 2*i + 29. Determine k, given that o(k) = 0.
-2, 0, 1, 3
Let z(b) = b**2 + 9*b + 2. Let s = -68 + 59. Let y be z(s). Solve 0 - 4/11*o**4 + 2/11*o**3 + 2/11*o**5 + 0*o**y + 0*o = 0 for o.
0, 1
Suppose 302*b - 299*b = -5*v + 1, -5*b = 3*v + 9. Let a(s) be the second derivative of 4/7*s**v + 0 - 1/7*s**4 - 2/21*s**3 + 3*s. Factor a(n).
-4*(n + 1)*(3*n - 2)/7
Suppose 2 = a - 2. Suppose 2*m - a*m = -14. Factor -4*u**3 + m*u**3 + 3*u**2 + 0*u**3.
3*u**2*(u + 1)
Let s(q) be the first derivative of q**6/6 - 2*q**5/5 - 11*q**4/4 + 40*q**3/3 - 22*q**2 + 16*q - 39. Factor s(p).
(p - 2)**2*(p - 1)**2*(p + 4)
Let r(k) be the first derivative of -k**4 - 4*k**3/3 + 66*k**2 - 252*k - 182. Find l such that r(l) = 0.
-7, 3
Factor -3*k**2 + k**3 - 44 + 44 - k**2 - 8*k + 2*k**2.
k*(k - 4)*(k + 2)
Let u(g) = -g**2 + 10*g - 7. Let v be u(9). Find j, given that -2*j**v + 2*j + 0*j**2 + 6*j**2 - 6*j = 0.
0, 1
Let c(t) = -2*t**3 + 296*t**2 - 4*t + 595. Let k be c(148). Solve 4 + 5/3*w**2 + 22/3*w - 1/2*w**k = 0.
-2, -2/3, 6
Let f(x) = x**3 - 6*x**2 - 7*x + 3. Let a be f(7). Let d be (4 + -4)/(0 + 1) + a. Factor -1/4*o + 0 - 1/4*o**5 + o**4 + o**2 - 3/2*o**d.
-o*(o - 1)**4/4
Let m(v) = -v**3 + v + 3. Let h(l) = l**2 + l - 5. Let j(u) = -u**2 - u + 6. Let f(w) = -7*h(w) - 6*j(w). Let n(i) = 3*f(i) + m(i). Factor n(c).
-c*(c + 1)*(c + 2)
Suppose -5*z - 4*z = -45. Let p be ((-10)/z*2)/(1*-2). Factor -5/2*x - 1 - 2*x**p - 1/2*x**3.
-(x + 1)**2*(x + 2)/2
Let r(u) be the second derivative of -u**4/6 - 7*u**3/3 + 90*u. Factor r(z).
-2*z*(z + 7)
Let k(q) be the third derivative of 1/60*q**6 + 0*q**3 - 1/12*q**4 - 21*q**2 + 0 + 0*q**5 + 0*q. Factor k(d).
2*d*(d - 1)*(d + 1)
Let h(s) = 10*s**3 + 18*s**2 - 22*s - 6. Let n(q) = -22*q**3 - 42*q**2 + 45*q + 11. Let t(y) = 9*h(y) + 4*n(y). Factor t(u).
2*(u - 5)*(u + 1)**2
Let w be 2 + (3 + -8)/(-5). Determine x so that -115*x**3 - 113*x**w + 231*x**3 = 0.
0
Suppose -3*c + 14 = 2. Solve 6*n**4 - n**4 + 0*n**4 - 9*n**5 - 2*n**c = 0 for n.
0, 1/3
Let r(t) = -2*t**5 - 6*t**4 - 7*t**3 - 2*t**2. Let m(q) = q**5 + q**4 - q**2. Let n(z) = -5*m(z) - 5*r(z). Solve n(f) = 0.
-3, -1, 0
Let f(y) be the second derivative of y**4/12 + 23*y**3/3 + 529*y**2/2 - 79*y. Find x, given that f(x) = 0.
-23
Let k be 105/(-30) - -1*8. Let i(t) be the first derivative of 1/3*t**6 + k*t**4 + 2*t**5 + 0*t + 2*t**2 + 7 + 14/3*t**3. Find v such that i(v) = 0.
-2, -1, 0
Let r be (6/18)/(1/9). Suppose 2*q**4 + 48*q**r - 32 - 93*q**3 - 16*q + 61*q**3 + 30*q**2 = 0. Calculate q.
-4, -1, 1
Let w(p) be the first derivative of -13*p**6/57 + 102*p**5/95 - 61*p**4/38 + 14*p**3/19 + 2*p**2/19 - 74. Solve w(x) = 0 for x.
-1/13, 0, 1, 2
Let h(c) be the second derivative of c**4/21 - 52*c**3/21 + 338*c**2/7 - 14*c + 3. Determine j so that h(j) = 0.
13
Let h = -103/8 + 931/72. Let t(f) be the first derivative of -h*f**2 + 2/9*f - 3 - 1/27*f**3. Let t(p) = 0. What is p?
-2, 1
Let t = 26 - 21. Find j such that -2 + 15*j + t*j**2 + 5 + 5 + 2 = 0.
-2, -1
Let d(r) be the first derivative of -7*r**4/4 + 94*r**3 - 1440*r**2 + 800*r - 1. Factor d(f).
-(f - 20)**2*(7*f - 2)
Solve -250*s + 3*s**2 - 496 - 248*s + 254*s + s**2 - 248*s = 0 for s.
-1, 124
Let p(d) be the third derivative of d**6/30 - 19*d**5/15 + 115*d**4/6 - 150*d**3 + 2*d**2 + 130*d. Determine q, given that p(q) = 0.
5, 9
Let j(w) be the third derivative of w**7/525 + w**6/50 - w**5/50 - 4*w**4/15 + 4*w**3/5 - 130*w**2 + 1. What is h in j(h) = 0?
-6, -2, 1
Let q(t) = 17*t**5 + 64*t**4 + 60*t**3 + 13*t**2 - 13*t. Let z(l) = -8*l**5 - 32*l**4 - 30*l**3 - 6*l**2 + 6*l. Let w(d) = 6*q(d) + 13*z(d)