*c*(c - 2)*(c + 1)**3/9
Find o, given that 6/7*o**3 - 3/7 + 9/7*o**4 - 6/7*o**2 + 3/7*o**5 - 9/7*o = 0.
-1, 1
Let z be (-1)/(-2)*-4 + 6. Factor 4*q - 4*q**3 + 2*q**2 + 7*q**z - 8*q**4 - q**4.
-2*q*(q - 1)*(q + 1)*(q + 2)
Let d(n) be the third derivative of -n**8/112 + n**7/70 + 11*n**6/40 - 29*n**5/20 + 13*n**4/4 - 4*n**3 - 77*n**2. Suppose d(z) = 0. Calculate z.
-4, 1, 2
Let l(c) = -c**3 - 7*c**2 - 22*c - 151. Let x be l(-7). Let f(y) be the first derivative of 2/3*y**x - 3*y**2 + 1 + 4*y. Solve f(m) = 0 for m.
1, 2
Let w(l) be the second derivative of -15*l + 0 + 10/3*l**2 + 25/36*l**4 - 1/12*l**5 - 20/9*l**3. Factor w(f).
-5*(f - 2)**2*(f - 1)/3
Suppose -3*d - 71 = 5*x, -x + 13 = -2*d + d. Let k = 22 + d. Solve 3*c**2 - 6*c**5 - 2*c**4 - c**5 + 4*c**k + 3*c**3 - c**4 = 0 for c.
-1, 0, 1
Let d(g) be the first derivative of -2*g**5/15 - 4*g**4 - 428*g**3/9 - 280*g**2 - 2450*g/3 - 185. Factor d(i).
-2*(i + 5)**2*(i + 7)**2/3
Suppose -3*w = r + 3, 153 = 4*w + 5*r + 190. Suppose -8*t**w + 0 + 0*t - 32/3*t**4 - 52/3*t**3 - 4/3*t**5 = 0. What is t?
-6, -1, 0
Let j(a) be the third derivative of -a**6/240 + a**5/30 - a**4/12 + 2*a**2 + 50. Factor j(y).
-y*(y - 2)**2/2
Let 0 - 10/9*c**5 + 44/9*c**4 - 80/3*c**2 + 134/9*c**3 + 8*c = 0. Calculate c.
-3, 0, 2/5, 1, 6
Find o, given that -8/5*o**2 + 0 - 4/5*o**3 + 32/5*o = 0.
-4, 0, 2
Let b(k) be the first derivative of 7*k**3/27 - 13*k**2/2 - 34*k/9 - 216. Suppose b(o) = 0. Calculate o.
-2/7, 17
Let f = 10 - 7. Let k = -2971/2 + 5947/4. Find x, given that 5*x + 5 - 5*x**f - 15/4*x**2 - k*x**4 = 0.
-2, -1, 1
Let r(m) be the third derivative of m**6/120 - 7*m**5/60 - 17*m**4/24 - 3*m**3/2 - m**2 - 257*m. Find i, given that r(i) = 0.
-1, 9
Suppose 3*t + 23 = -7. Let j = -8 - t. Find z, given that 10*z**2 + 4*z - j*z**2 + 2*z**3 - 2*z**2 + 0*z**3 = 0.
-2, -1, 0
Suppose -2*j - 2 = 4. Let p(u) = u**3 + 7*u**2 - 11*u - 7. Let i(l) = 3*l**2 - 6*l - 3. Let b be -2*2*10/(-8). Let o(k) = b*i(k) + j*p(k). Factor o(d).
-3*(d - 1)*(d + 1)*(d + 2)
Factor 115 + 173 + 1155*m - 15528*m**2 + 15540*m**2.
3*(m + 96)*(4*m + 1)
Let g(s) be the first derivative of -s**3/3 + 83*s**2/2 + 84*s + 25. Factor g(i).
-(i - 84)*(i + 1)
Let q(a) be the third derivative of a**7/25200 + a**6/900 + a**5/75 + a**4/8 + 11*a**2. Let b(w) be the second derivative of q(w). Find r, given that b(r) = 0.
-4
Let f(k) be the first derivative of -4*k**3/3 - 2*k**2 + 113. Find g such that f(g) = 0.
-1, 0
Factor 0 + 5/4*n**2 - 1/2*n.
n*(5*n - 2)/4
Let a(d) be the first derivative of 2*d**3/27 - 9*d**2 + 684. Find x, given that a(x) = 0.
0, 81
Solve 3468/5 + 3264/5*x + 3/5*x**3 - 201/5*x**2 = 0 for x.
-1, 34
Find g, given that -1/7*g**5 + 1/7*g**2 + 3/7*g**4 + 0 + 0*g - 3/7*g**3 = 0.
0, 1
Let c = 87408 - 63807543/730. Let l = c - 1/146. Determine n so that -l*n + 0 + 1/5*n**2 = 0.
0, 2
Let n(v) be the third derivative of v**7/560 + 3*v**6/320 + 48*v**2. Factor n(p).
3*p**3*(p + 3)/8
Let o = 7258 + -7254. Solve -7/4*n**5 - 5/4*n**4 + 1 - o*n + 1/4*n**2 + 23/4*n**3 = 0.
-2, -1, 2/7, 1
Let l(b) be the second derivative of -b**6/2160 - b**5/72 - b**4/16 - 4*b**3 - 25*b. Let o(g) be the second derivative of l(g). Factor o(n).
-(n + 1)*(n + 9)/6
Suppose -12/11*g**3 + 2*g**2 + 0 + 2/11*g**4 - 12/11*g = 0. Calculate g.
0, 1, 2, 3
Let c(x) = 4*x**3 + 110*x**2 + 101*x - 5. Let b(y) = -3*y**3 - 57*y**2 - 51*y + 3. Let z(r) = 5*b(r) + 3*c(r). Find n such that z(n) = 0.
-1, 0, 16
Factor 0*j**2 + 96*j**5 + 35*j**3 + 76*j**4 + 24*j**4 - 5*j**2 - 41*j**5 - 5*j**2.
5*j**2*(j + 1)**2*(11*j - 2)
Let m(d) be the second derivative of -d**8/3360 + d**7/280 - d**6/180 + 5*d**4/12 + 9*d. Let g(n) be the third derivative of m(n). Factor g(i).
-i*(i - 4)*(2*i - 1)
Solve -2/11*i**5 + 10/11*i**4 - 6/11*i**3 - 10/11*i**2 + 0 + 8/11*i = 0 for i.
-1, 0, 1, 4
Let m(v) be the third derivative of v**5/330 + 5*v**4/132 - 12*v**3/11 - 164*v**2 + v. Determine i, given that m(i) = 0.
-9, 4
Let b = 2142 - 2140. Find v such that 3/2*v**b + 0 + 3/2*v = 0.
-1, 0
Suppose -3*l - 2 = s + 4, s + l = -8. Let t be (-14)/40 + 4*s/(-60). Find v, given that -1/4 + 1/4*v + t*v**2 - 1/4*v**3 = 0.
-1, 1
Let o be (-42)/(-4) - (2 - (-15)/(-10)). Factor -2*u - o*u + u**3 + 6*u + 2*u - u**2 + 4.
(u - 2)*(u - 1)*(u + 2)
Factor -3*h - 3/2*h**2 + 12.
-3*(h - 2)*(h + 4)/2
Let o be ((-845)/(-4) - 8)*2/(-12). Let z = o - -34. Determine j, given that 1/8*j**2 - 1/8 + z*j**3 - 1/8*j = 0.
-1, 1
Suppose -567*d = -559*d. Factor 3/8*l**2 + d - 3/8*l + 3/8*l**3 - 3/8*l**4.
-3*l*(l - 1)**2*(l + 1)/8
Let z(g) be the second derivative of -g**4/12 + g**3/3 + 4*g**2 + 20*g + 3. Factor z(t).
-(t - 4)*(t + 2)
Factor 276*a - 6*a**3 + a**3 - 231*a.
-5*a*(a - 3)*(a + 3)
Factor 67 + 4*b**2 - 45*b - 67 + 17*b.
4*b*(b - 7)
Let 22*d**3 + 9*d + 29*d**3 - 105*d**2 + 57*d**2 - 12*d**4 = 0. What is d?
0, 1/4, 1, 3
Let d(y) be the first derivative of 49*y**4/6 - 70*y**3/3 - 39*y**2 - 18*y - 415. What is l in d(l) = 0?
-3/7, 3
Determine y, given that -44/7*y**2 - 32/7*y**3 + 4/7*y**4 + 0 + 72/7*y = 0.
-2, 0, 1, 9
Let p(h) = h**2 - 15*h + 1. Let a be p(16). Let s = 45 - a. Factor 3*q - 12*q**4 + s*q**2 - 11*q**3 - 10*q**3 - 34*q**2.
-3*q*(q + 1)**2*(4*q - 1)
Let n be (-4*(-5)/(-10))/(-10). Factor 3/5*p**2 + n*p**4 + p**3 - 9/5*p + 0.
p*(p - 1)*(p + 3)**2/5
Let p(l) = -l**2 + 5*l + 7. Let m be p(6). Suppose m - 3 = -y. What is h in -138*h + 3*h**3 + 138*h - 3*h**y = 0?
0, 1
Let t be (3 + -2)/((-2)/(-24)). Let q = 16 - t. Factor -3*m**5 + 35*m**4 - 12*m**3 + 3*m**2 - m**5 - 23*m**q + m**2.
-4*m**2*(m - 1)**3
Factor -20009 + 4*f**2 + 494*f - 41000 - 5*f**2.
-(f - 247)**2
Let c(r) be the third derivative of r**8/672 + r**7/210 + r**6/240 - 104*r**2. Factor c(w).
w**3*(w + 1)**2/2
Let w(u) = -u**3 - u**2 - u - 1. Let r(p) = 60*p**5 + 175*p**4 + 155*p**3 + 50*p**2 - 15*p - 25. Let c(f) = r(f) - 25*w(f). Let c(j) = 0. What is j?
-1, -2/3, -1/4, 0
Let g(h) be the first derivative of 2/11*h - 1/22*h**4 + 10 + 2/11*h**3 - 3/11*h**2. Find b such that g(b) = 0.
1
Let y(h) be the second derivative of -h**8/20160 + h**4/12 - 26*h. Let r(f) be the third derivative of y(f). Factor r(u).
-u**3/3
Let f(i) be the second derivative of -i**9/1008 + i**8/280 - i**6/60 + i**5/40 + i**3/6 + 11*i. Let z(g) be the second derivative of f(g). Factor z(y).
-3*y*(y - 1)**3*(y + 1)
Let i(l) = 3*l**3 - 8*l**2 - 48*l - 68. Let x(b) = -2*b**3 + 9*b**2 + 48*b + 67. Let r be (-20)/2 + 4 - 4/(-2). Let d(k) = r*x(k) - 3*i(k). Factor d(v).
-(v + 4)**3
Let v(f) be the third derivative of -4/39*f**3 + 1/2184*f**8 + 19/780*f**6 - 1/195*f**7 - 20*f**2 - 5/78*f**5 + 0*f + 0 + 4/39*f**4. Factor v(t).
2*(t - 2)**2*(t - 1)**3/13
Suppose 0*w = w - 5*b - 27, -3*w - 4*b - 14 = 0. Let x = 63/34 - 169/238. Factor -x*y - 4/7*y**w + 0.
-4*y*(y + 2)/7
Factor -32/9*v**2 - 80/9*v**3 + 14/9*v**4 + 0 + 0*v + 98/9*v**5.
2*v**2*(v - 1)*(7*v + 4)**2/9
Let g(f) be the first derivative of -3*f**4/4 + 221*f**3 + 1335*f**2/2 + 669*f + 129. Factor g(j).
-3*(j - 223)*(j + 1)**2
Find a such that -72/7*a + 44/7*a**2 - 44/7*a**4 + 68/7*a**3 + 4/7*a**5 + 0 = 0.
-1, 0, 1, 2, 9
Let n(c) = -4*c**5 + 39*c**4 + 40*c**3 - 3*c + 3. Let i(q) = 5*q**5 - 39*q**4 - 40*q**3 + 4*q - 4. Let f(v) = 3*i(v) + 4*n(v). What is g in f(g) = 0?
-1, 0, 40
Let a(s) = -3*s**3 + 2*s + 1. Let v be ((12/(-4))/(-3))/(-1). Let z be a(v). Factor 96*m + 128 + 17*m**z + 2*m**3 - 20*m**2 + 27*m**2.
2*(m + 4)**3
Let j(i) be the second derivative of -i**7/56 - i**6/40 + 27*i**5/80 - 11*i**4/16 + i**3/2 - 2*i - 34. Let j(c) = 0. What is c?
-4, 0, 1
Let f = -5504 + 5506. Factor -1/2*d**4 + 0*d + 3/2*d**3 + 0 + 0*d**f.
-d**3*(d - 3)/2
Let b(o) = 40*o**2 - 4*o - 1. Let h be b(2). Let i = h + -150. Factor 1/2*w**2 - i + 1/2*w.
(w - 1)*(w + 2)/2
Let t(x) = -24*x**2 + 5*x + 44. Let g(o) = -19*o**2 + 7*o + 44. Let d(c) = 5*g(c) - 4*t(c). Determine m, given that d(m) = 0.
-11, -4
Let j(d) be the third derivative of -d**6/1080 + d**5/72 - d**4/18 + 2*d**3/3 + 11*d**2. Let q(c) be the first derivative of j(c). Factor q(v).
-(v - 4)*(v - 1)/3
Factor -1013 + 18*q**2 + 917 + 2*q**3 - 5*q**3.
-3*(q - 4)**2*(q + 2)
Let i(l) = l**3 + l + 2. Let o(h) = 10*h**3 + 215*h**2 + 11457*h - 11646. Let j(b) = -36*i(b) + 4*o(b). Let j(f) = 0. Calculate f.
-108, 1
Let z be (