+ -1)*10/10. Factor 3*c**3 + 5*c + n*c**4 + 3/2 + 6*c**2.
(c + 1)**3*(c + 3)/2
Let i(g) = 7*g**3 - 1097*g**2 - 2191*g - 1079. Let f(t) = 5*t**3 - 730*t**2 - 1460*t - 720. Let a(b) = 8*f(b) - 5*i(b). Solve a(v) = 0 for v.
-1, 73
Let j = -530 + 529. Let i be (-18)/(-3) - ((0 - j) + 3). Factor -1/6*o**i + 1/6 + 0*o.
-(o - 1)*(o + 1)/6
Let q be 60/21 + 126/(-147). Let 0*h**2 - 168 + 0*h**2 + 5*h**2 - 2*h**q + 280*h - 115*h = 0. What is h?
-56, 1
Let r(z) be the third derivative of -z**8/504 + 13*z**7/315 + z**6/10 - 13*z**5/5 - 9*z**4/4 + 117*z**3 + 595*z**2. Suppose r(k) = 0. What is k?
-3, 3, 13
Let f(m) be the first derivative of -m**4/36 - 13*m**3/27 - 3*m**2 - 8*m - 396. Find t such that f(t) = 0.
-6, -4, -3
Let k(p) be the first derivative of p**7/5880 + p**6/420 + p**5/280 - 5*p**4/84 - 32*p**3 - 139. Let i(c) be the third derivative of k(c). Solve i(s) = 0.
-5, -2, 1
Let g = -87 - -246. Suppose g = 10*c - 2691. Solve 261*o - o**2 - o**2 - 72 - c*o = 0.
-6
Suppose -375/7 - 1/7*l**2 - 80/7*l = 0. What is l?
-75, -5
Suppose -t = 5*y - 7, 2*t - 5*t + 3 = -3*y. Let f be 51/9 - y/(-3). Let -f - 4 + 5*o**2 + 2*o - 3*o**2 + 6 = 0. Calculate o.
-2, 1
Factor 82 + 28*m**3 + 17 + 26 - 552*m + 3 + 388*m**2 - 400*m.
4*(m - 2)*(m + 16)*(7*m - 1)
Determine m, given that -15464*m - m**2 + 31191*m - 15412*m = 0.
0, 315
Suppose 0 = 2*d + 7*m - 10*m - 2, 5*m = -2*d - 14. Let g(b) = -b**2 - 2*b + 1. Let k(a) = 4*a**2 + 74*a + 1153. Let i(p) = d*k(p) - 6*g(p). Factor i(f).
-2*(f + 34)**2
Let d be (-24)/20*18880/(-18408). Factor -6/13 + d*n**2 + 10/13*n.
2*(n + 1)*(8*n - 3)/13
Let u(c) be the first derivative of -48*c**2 - 3/4*c**4 - 96*c - 10*c**3 - 39. Factor u(j).
-3*(j + 2)*(j + 4)**2
Let x(q) = -q**3 + q. Suppose -22 = 2*l + 2. Let u(t) = 8*t**3 - 16*t**2 - 8*t + 16. Let r(j) = l*x(j) - u(j). Let r(h) = 0. Calculate h.
-4, -1, 1
Let n be -1 - 6 - 22/(-5)*(-695)/(-278) - 1. Find q, given that -2*q**4 + 21/4*q - 5/2*q**2 + 9/2 - 1/4*q**5 - 5*q**n = 0.
-3, -2, -1, 1
Let g(n) = 344*n**2 + 453*n + 982. Let o(r) = 188*r**2 + 226*r + 492. Let c(m) = 6*g(m) - 11*o(m). Factor c(w).
-4*(w - 60)*(w + 2)
Let m(q) be the third derivative of -69*q**2 + 11/300*q**5 + 0*q**6 + 3/20*q**4 - 1/1050*q**7 + 0*q + 4/15*q**3 + 0. Determine f so that m(f) = 0.
-2, -1, 4
Let o(x) = 5*x**3 - x**2 + 3*x + 5. Let a = 74 + -62. Let r = a - 32. Let n(q) = -q**3 - q - 1. Let k(w) = r*n(w) - 5*o(w). Let k(i) = 0. Calculate i.
-1, 1
Factor -3/2*s + 9/2 + 3/8*s**3 - 9/8*s**2.
3*(s - 3)*(s - 2)*(s + 2)/8
Let b(f) = f**4 + 9*f**3 + 11*f + 11. Let m(g) = -96 + 98 + 4*g**3 - 6*g**3 + 4*g**3 + 2*g. Let z(d) = 4*b(d) - 22*m(d). Find c such that z(c) = 0.
0, 2
Let v = -122 - -124. Factor 226 + 8*o - v*o**3 - 117 - 109 + 8*o**2 - 2*o**4.
-2*o*(o - 2)*(o + 1)*(o + 2)
Let j(a) be the first derivative of 1/2*a**4 + 1/3*a**6 - 2*a**2 + 37 + 0*a + 2*a**3 - 6/5*a**5. Factor j(i).
2*i*(i - 2)*(i - 1)**2*(i + 1)
Let p(m) be the second derivative of -m**4/42 - 79*m**3/7 + 11*m - 122. Solve p(l) = 0.
-237, 0
Let u = 20269/69576 + 1/2899. Let v(l) be the second derivative of -4/3*l**3 + 0 - 24*l + u*l**4 + 3*l**2 - 1/40*l**5. Factor v(k).
-(k - 3)*(k - 2)**2/2
Let w = -209339/2 - -104670. Solve -c - 1/2 - w*c**2 = 0.
-1
Let z(o) be the first derivative of o**6/2 - 26*o**5/5 - 9*o**4/4 + 474. Factor z(d).
d**3*(d - 9)*(3*d + 1)
Let g be ((-16)/40 + 27/30)*(-38 + 38). Let 0*p**2 - 5/3*p**5 + g + 0*p**4 + 20/3*p**3 + 0*p = 0. What is p?
-2, 0, 2
Let i(u) be the first derivative of u**3 - 576*u**2 + 110592*u - 229. Determine z, given that i(z) = 0.
192
Let y be -3 + (-4 - -7341*3/4896). Let c = -1/544 - y. Solve -c*z**2 + 5*z + 15/2 = 0.
-1, 3
Let q = 16 - 14. Solve 4*n**2 - 2*n - 7*n**q - 42*n**2 + 25 - 13*n + 35*n**3 = 0.
-5/7, 1
Let f(l) be the third derivative of -l**7/280 + l**6/120 + l**5/20 - 8*l**3/3 + 4*l**2 + 4. Let u(v) be the first derivative of f(v). Factor u(s).
-3*s*(s - 2)*(s + 1)
Let y be ((-84)/(-140))/((2 + -3)/(-5)). Let f(j) = j**2 + 4*j - 2. Let p be f(3). Factor 7*d - 146*d**3 - 16 - p*d + 147*d**y.
(d - 4)*(d + 2)**2
Let x(l) = 4 + 13 - 2*l**2 - 15 + 0*l**2. Let b(h) = 4*h**3 + 44*h**2 - 16*h - 104. Let m(o) = b(o) + 12*x(o). Factor m(f).
4*(f - 2)*(f + 2)*(f + 5)
Factor 9/7*l - 120/7 + 3/7*l**2.
3*(l - 5)*(l + 8)/7
Suppose -5*j**2 - 4*j**2 - 72528*j + 72540*j + 5*j**2 + 616 = 0. Calculate j.
-11, 14
Let j(q) be the third derivative of q**5/600 - q**4/16 + 13*q**3/30 + q**2 + 76*q. Let j(w) = 0. What is w?
2, 13
Let q be (2/(-3))/((-1)/3). Let n be (-6433)/(-28) + (-9)/12. Factor -86*i**2 - 129*i + 31*i**q + 20 + n*i.
-5*(i - 2)*(11*i + 2)
Let i = 1496893/11 + -136079. Solve i + 18/11*f**2 - 2/11*f**3 - 40/11*f = 0 for f.
1, 2, 6
Let b be 434/20 - (3740/200 - 19). Suppose 0 = -278*r + 289*r - b. Factor -3/5*c**r + 0 + 3*c.
-3*c*(c - 5)/5
What is y in 9765625 + 1875*y**2 + 290267*y - 19116*y - 36776*y + 5*y**3 = 0?
-125
Factor 16/3*a**2 - 65/3*a + 50/3 - 1/3*a**3.
-(a - 10)*(a - 5)*(a - 1)/3
Let g(p) be the first derivative of -8*p + 17/12*p**3 - 1/16*p**4 - 215 - 7/4*p**2. Factor g(r).
-(r - 16)*(r - 2)*(r + 1)/4
Let q(z) be the first derivative of -z**3/12 + 7*z**2 + 57*z/4 - 971. Factor q(n).
-(n - 57)*(n + 1)/4
Let s = -7086 - -7094. Let h(b) be the first derivative of 10/3*b**3 - s*b + 42 - 2*b**2 - 4/5*b**5 + 1/4*b**4 + 1/6*b**6. Solve h(n) = 0.
-1, 2
Let v = -2811 + 4156. Factor -v + 260*i - 2878 + 500 - 5*i**2 + 343.
-5*(i - 26)**2
Let h(i) = -i**3 - 586*i**2 + 5952*i + 80. Let y be h(10). Factor -6*a**3 + 0*a + y - 2/3*a**5 + 0*a**2 + 20/3*a**4.
-2*a**3*(a - 9)*(a - 1)/3
Let v(n) be the second derivative of -19/11*n**2 - 133*n + 20/33*n**3 - 1/66*n**4 + 0. Let v(r) = 0. What is r?
1, 19
Let b(p) be the second derivative of -p**4/54 + 19*p**3/27 - 20*p**2/3 - 2*p - 34. Factor b(f).
-2*(f - 15)*(f - 4)/9
Let b be (-54)/16*(-6)/(-63) + (-764)/(-1337). Solve 1/4*c**4 + 21/4*c**2 - 15/2 + 9/4*c**3 - b*c = 0.
-5, -3, -2, 1
Suppose 4*n = 192 - 544. Let h = -86 - n. What is p in p**5 - 271*p**h - 159*p**2 - 121 - 218*p**4 + 385*p + 193*p**4 + 190*p**3 = 0?
1, 11
Let j(n) be the second derivative of -n**8/5040 + n**7/945 - n**6/540 + 7*n**4/3 - 4*n + 7. Let g(z) be the third derivative of j(z). Let g(c) = 0. Calculate c.
0, 1
Let o(q) be the second derivative of -q**8/1848 + q**7/1155 + q**6/660 - q**5/330 - 12*q**2 - q + 3. Let l(b) be the first derivative of o(b). Factor l(i).
-2*i**2*(i - 1)**2*(i + 1)/11
Solve -95/3*i**4 + 3040*i**2 + 0 - 1536*i - 1/6*i**5 - 8833/6*i**3 = 0.
-96, 0, 1
Let f(n) be the third derivative of n**6/1080 - n**5/120 - 5*n**4/36 - 11*n**3/3 + 19*n**2. Let a(d) be the first derivative of f(d). Factor a(g).
(g - 5)*(g + 2)/3
Let z be ((-10660)/(-25))/(22/55). Determine b, given that b**2 + 530*b - 10 + 527*b - z*b = 0.
-1, 10
Let x be -2 + (-21)/(-9) + (-4466)/(-3). Factor 14*c**2 - 1494*c**3 - 80 + x*c**3 - 130*c - 69*c**2.
-5*(c + 1)*(c + 2)*(c + 8)
Let z(i) be the second derivative of i**9/52920 - i**8/3920 - 49*i**4/6 - i**2 - 14*i - 2. Let y(v) be the third derivative of z(v). Factor y(t).
2*t**3*(t - 6)/7
Let d(m) = -m. Let h(n) be the second derivative of n**6/6 - 5*n**4/3 - 10*n**3/3 - 145*n. Let v(f) = 20*d(f) - h(f). Suppose v(u) = 0. What is u?
-2, 0, 2
Let a(g) be the third derivative of 0*g**4 + 0 + 0*g**5 + 0*g - 1/80*g**6 - 57*g**2 - 1/105*g**7 + 0*g**3 - 1/672*g**8. Determine u, given that a(u) = 0.
-3, -1, 0
Let i(g) be the third derivative of g**8/1008 + g**7/45 + 13*g**6/72 + 31*g**5/45 + 7*g**4/6 - 1675*g**2. Find k, given that i(k) = 0.
-7, -3, -2, 0
Factor -1248/7*k**3 - 1240/7*k - 4/7*k**4 + 0 - 2484/7*k**2.
-4*k*(k + 1)**2*(k + 310)/7
Let x(g) be the second derivative of 21/10*g**6 - 141/40*g**5 + 3/2*g**4 + 0 + g**3 - 11/28*g**7 + 157*g + 0*g**2. Let x(p) = 0. Calculate p.
-2/11, 0, 1, 2
Let d be ((-55)/(-66))/(2 - 273/140). Let o(a) be the first derivative of -2/9*a**3 - d*a - 10/3*a**2 - 29. Solve o(u) = 0.
-5
Factor -1104/5*z + 76176/5 + 4/5*z**2.
4*(z - 138)**2/5
Let t = -136002 + 136737. Factor t - 42*j + 3/5*j**2.
3*(j - 35)**2/5
Let g = 430 - 718. Let l = -283 - g. Factor 2*b**3 - 2/3*b**2 + 0 + 0*b - 2*b**4 + 2/3*b**l.
2*b**2*(b - 1)**3/3
Let u be 1710/380 - (0/2 + 286/78). Solve u*l - 5/3 - 5/6*l**3 + 5/3*l**2 = 0.
-1, 1, 2
Le