r 6/5*c - 18/5*c**2 - 1/10.
-(6*c - 1)**2/10
Let o(h) be the third derivative of -h**8/2520 - 2*h**7/1575 + h**6/900 + h**5/225 - 215*h**2. Let o(g) = 0. What is g?
-2, -1, 0, 1
Let q(v) be the first derivative of 7*v**4/11 - 170*v**3/33 + 118*v**2/11 - 16*v/11 + 415. Suppose q(s) = 0. What is s?
1/14, 2, 4
Let x(r) be the first derivative of -8*r**5/95 - 49*r**4/38 - 16*r**3/57 + 49*r**2/19 + 24*r/19 + 124. Find b, given that x(b) = 0.
-12, -1, -1/4, 1
Let s(c) be the third derivative of c**5/120 - 25*c**4/48 + 86*c**2. Factor s(m).
m*(m - 25)/2
Let c(d) be the first derivative of 0*d + 18 - 1/6*d**2 - 1/9*d**3. Factor c(m).
-m*(m + 1)/3
Let y = 22 - 20. Suppose 5*r = -4*u + 18, -r + 0*r = y*u - 6. What is s in 6*s**2 - 6*s**2 + 5*s**r = 0?
0
Let i(q) be the first derivative of q**5/390 - q**4/52 - 4*q**3/39 + 3*q**2 + 2. Let y(m) be the second derivative of i(m). Factor y(h).
2*(h - 4)*(h + 1)/13
Let k = -884/3 - -22148/75. Factor 4/25*r**2 - 2/25*r**3 + 8/25*r - k.
-2*(r - 2)**2*(r + 2)/25
Let q be (-8)/(-6)*9/6. Suppose -2*u = -5*j + 8, -5*u + 1 + q = -j. Suppose -j + 6*f - 3*f**3 + 2 + 3*f**2 = 0. What is f?
-1, 0, 2
Suppose 237*w - 228*w = 0. Let j(o) be the third derivative of 0*o - 3*o**2 - 3/70*o**7 + w + 0*o**4 - 1/20*o**6 + 9/20*o**5 - 2*o**3. What is g in j(g) = 0?
-2, -2/3, 1
Let v(n) be the first derivative of n**4/6 + 16*n**3/27 + 4*n**2/9 - 177. What is l in v(l) = 0?
-2, -2/3, 0
Suppose -11 = -3*b - 2*f, 52 - 45 = b + 4*f. Find v such that 0 + 3/2*v**2 + b*v = 0.
-2, 0
Let y(p) be the first derivative of p**6/6 - 2*p**5/5 - p**4/2 + 4*p**3/3 + p**2/2 - 2*p + 302. What is w in y(w) = 0?
-1, 1, 2
Let i(c) be the third derivative of -c**7/420 - c**6 - 7079*c**5/60 + 605*c**4 - 14641*c**3/12 + 74*c**2. Factor i(p).
-(p - 1)**2*(p + 121)**2/2
Let h(v) be the first derivative of v**5/5 - 10*v**4/3 + 6*v**3 - 29*v - 32. Let s(d) be the first derivative of h(d). Factor s(r).
4*r*(r - 9)*(r - 1)
Let x = -46 + 172. Let b be 206/44 + (-4 - x/(-33)). Determine y, given that -7/2*y**2 + 0 + y + 1/2*y**5 + b*y**3 - 5/2*y**4 = 0.
0, 1, 2
Suppose -22 = -6*u - 10. Suppose 0 = -u*l + 6, -3*l + 12 = k + l. Factor -1/3*w**5 - 1/3*w**4 + 0*w**3 + 0 + 0*w**2 + k*w.
-w**4*(w + 1)/3
Let y(b) be the third derivative of -b**7/42 + 79*b**6/24 - 75*b**5/2 + 1105*b**4/6 - 1460*b**3/3 + 134*b**2. Let y(v) = 0. What is v?
2, 73
Suppose -3*g + 374 = 26. Let s = g + -810/7. Factor 8/7*f - 2/7*f**3 + 16/7 + s*f**4 - 12/7*f**2.
2*(f - 2)**2*(f + 1)*(f + 2)/7
Let u(p) be the third derivative of p**8/4032 + p**7/252 - 7*p**5/30 - 14*p**2. Let r(g) be the third derivative of u(g). Factor r(t).
5*t*(t + 4)
Let s = -5941 + 23767/4. Let l be (-1)/((-2)/(8/2)). Factor 0 + 3/8*n**l + s*n.
3*n*(n + 2)/8
Let j(z) be the third derivative of -z**5/12 - 25*z**4/6 - 70*z**3 + 441*z**2. Factor j(s).
-5*(s + 6)*(s + 14)
Let k = -29259 + 29259. Factor k*f**2 - 6/5*f - 3/5*f**4 + 3/5 + 6/5*f**3.
-3*(f - 1)**3*(f + 1)/5
Let p(g) be the second derivative of 27*g**5/20 - 11*g**4/4 - 8*g**3 + 6*g**2 - 33*g. Factor p(c).
3*(c - 2)*(c + 1)*(9*c - 2)
Factor 2/19*g**2 - 20/19*g + 50/19.
2*(g - 5)**2/19
Let x(n) = 6*n**3 + 261*n**2 - 2576*n - 14591. Let t(j) = j**3 + 52*j**2 - 515*j - 2918. Let h(z) = -11*t(z) + 2*x(z). Factor h(w).
(w - 27)**2*(w + 4)
Let f be (-10)/(-165)*-3 + 8/44. Factor 2/13*u**4 + 0*u**2 + f*u + 0 - 2/13*u**3.
2*u**3*(u - 1)/13
Let c be 12 - (91/(-13) - -19). Determine i, given that c - 1/2*i**3 - 3/8*i**2 - 1/8*i**4 + 0*i = 0.
-3, -1, 0
Factor 27/4*p**3 + 1089/4*p - 1331/4 - 297/4*p**2.
(3*p - 11)**3/4
Let f(w) be the first derivative of -5*w**3/3 - 20*w**2 - 35*w + 453. What is y in f(y) = 0?
-7, -1
Let a(j) = -21*j**4 - 26*j**3 - 26*j**2 + 10*j + 6. Let g(x) = 61*x**4 + 79*x**3 + 77*x**2 - 31*x - 17. Let p(t) = -17*a(t) - 6*g(t). Factor p(y).
-y*(y + 2)**2*(9*y - 4)
Let j(q) = -2*q**2 + q - 1. Let o be j(2). Let y be o/(-2) + (-12)/8. Factor 0*b**3 - 4*b + 7*b + y - b**3.
-(b - 2)*(b + 1)**2
Let j(t) be the third derivative of t**10/378000 + t**9/151200 + 7*t**5/20 + 8*t**2. Let l(y) be the third derivative of j(y). Factor l(v).
2*v**3*(v + 1)/5
Let a(n) be the first derivative of 2*n**7/315 - n**6/30 + n**5/15 - n**4/18 + 6*n**2 - 12. Let k(y) be the second derivative of a(y). Factor k(b).
4*b*(b - 1)**3/3
Suppose -28*q = -23*q - 395. Factor -38*k**3 + 3*k**4 - 38*k**3 + q*k**3.
3*k**3*(k + 1)
Let l(o) be the first derivative of -2*o**3/27 + 295. Factor l(r).
-2*r**2/9
Let p(r) be the third derivative of -2*r**7/105 + 13*r**6/30 - 7*r**5/3 - 49*r**4/6 - 3*r**2 - 4. Suppose p(u) = 0. Calculate u.
-1, 0, 7
Let b(l) = -l**2 - 156*l - 3863. Let y be b(-125). Factor 9/2*n**3 + 13/2*n - 1 - y*n**2.
(n - 2)*(3*n - 1)**2/2
Let i(n) = -9*n**2 + 3*n + 10. Let o(y) = 7*y**2 - 4*y - 10. Let x(c) = 4*i(c) + 5*o(c). Let t be x(-6). Factor -4/3*b + 1/3*b**t + 4/3.
(b - 2)**2/3
Factor 3/5*r - 3/5*r**2 + 6/5.
-3*(r - 2)*(r + 1)/5
Let t(q) be the third derivative of 0*q + 0 + 1/20*q**5 + 7/4*q**4 + 49/2*q**3 - 15*q**2. Factor t(j).
3*(j + 7)**2
Find r such that -39501*r**2 - 1724976 - 3/4*r**4 - 1764180*r - 1191/4*r**3 = 0.
-132, -1
Let x be ((-54)/(-486))/((-2)/(-8)). Factor 1/9*p**3 + x + 0*p - 1/3*p**2.
(p - 2)**2*(p + 1)/9
Suppose 26 = s - 4*b, 2*b + 2*b = -2*s + 4. Let r be ((-15)/s)/(-3*1/8). Find p such that -3*p + 6/5 + 3/5*p**5 + 12/5*p**3 - 12/5*p**r + 6/5*p**2 = 0.
-1, 1, 2
Find a, given that -3*a + 4*a**3 + 0*a**3 - 64 + 14*a - 59*a = 0.
-2, 4
Let k be ((-6)/21)/(2/(-7)). Find c such that 32*c - 14*c - 20*c - c**2 - k = 0.
-1
Suppose 6 = 3*y - a, 0 = -3*y - a - 5 + 11. Solve -2/7*t**y + 0 + 0*t - 5/7*t**3 = 0.
-2/5, 0
Let y = -8 - -14. Let k(i) = -i**3. Let j(h) = -7*h**3 - 4*h**2 - 5*h - 2. Let p(f) = y*k(f) - j(f). Factor p(m).
(m + 1)**2*(m + 2)
Let p be (-82)/(-164) - 6/(-4). Factor 0 - 3*m**4 + 3/5*m**5 + 0*m - 12/5*m**p + 24/5*m**3.
3*m**2*(m - 2)**2*(m - 1)/5
Let k(c) be the third derivative of -3*c**6/200 - 7*c**5/50 - 5*c**4/24 - 2*c**3/15 + 110*c**2. Determine d, given that k(d) = 0.
-4, -1/3
Let s(v) = -v**2 - 4*v + 4. Let p be s(-4). Let c be 4 - (-1 - 0/(-3)). Factor -q**c - 8*q**2 + q**5 + p*q**5 - 12*q**3.
4*q**2*(q - 2)*(q + 1)**2
Let z(p) be the first derivative of -p**5/5 + p**4/4 + 2*p**3/3 - 175. Factor z(x).
-x**2*(x - 2)*(x + 1)
Let q(r) = -7*r**3 - 15*r**2 - 37*r + 5. Let x(v) = 3*v**3 + 8*v**2 + 18*v - 2. Let u(o) = -2*q(o) - 5*x(o). Factor u(c).
-c*(c + 2)*(c + 8)
Let j(w) be the second derivative of w**4/8 - 2*w**3 - 27*w**2/4 + 154*w. Solve j(i) = 0.
-1, 9
Let o(v) be the third derivative of v**8/151200 - v**7/18900 + v**6/5400 + v**5/10 - 4*v**2. Let a(d) be the third derivative of o(d). Factor a(f).
2*(f - 1)**2/15
Let y(w) be the second derivative of w**7/2940 + w**6/630 + w**3/6 - 5*w. Let z(d) be the second derivative of y(d). Find c such that z(c) = 0.
-2, 0
Let y(k) = k**2 - 2*k. Let o(b) = -b**2 - b - 2. Let p(q) = 6*o(q) + 3*y(q). Factor p(z).
-3*(z + 2)**2
Determine o so that 3/2*o**4 - 15/2*o**2 + 0*o**3 + 6 + 0*o = 0.
-2, -1, 1, 2
Factor -19*f**2 - 64 + 37*f**2 + 32*f + 4*f**3 + 10*f**2.
4*(f - 1)*(f + 4)**2
Let p be -2 - 378/((-12)/4). Factor -24 + 74*w + 17*w**3 - w**3 - 40 + 150*w + p*w**2.
4*(w + 4)**2*(4*w - 1)
Let d = 42/55 + -23/33. Let n(k) be the third derivative of 2*k**2 + d*k**3 + 0*k + 0 - 1/30*k**4 + 1/150*k**5. Factor n(s).
2*(s - 1)**2/5
Let p be (2 - 3) + 5 + -1. Let c be (3/(-6))/(p/(-192)). Determine s, given that 3*s**2 + 72 - c*s - 24 + 8*s = 0.
4
Let g(p) = -p**3 + 28*p**2 - 174*p - 106. Let z be g(18). Find q such that 4/7*q**4 + 4/7*q - 10/7*q**z + 8/7 - 1/7*q**5 - 1/7*q**3 = 0.
-1, 2
What is q in 13*q**4 + 3*q**2 + 3*q**3 + 3*q**4 - 3*q**5 - q**4 - 18*q**2 = 0?
-1, 0, 1, 5
Let h = -10859 - -21727/2. Determine p, given that -9/2*p**4 + 0 + 3/2*p**5 + 3/2*p**3 + h*p**2 - 3*p = 0.
-1, 0, 1, 2
Let m(z) be the first derivative of z**3/3 - 25*z**2 + 625*z - 46. Factor m(u).
(u - 25)**2
Let l(j) be the third derivative of j**6/72 - j**5/8 - j**3/6 + 6*j**2. Let k(a) be the first derivative of l(a). Find y such that k(y) = 0.
0, 3
Let p be ((-1)/2)/(2/(-64)). Factor -p*c**2 + 9 + 0 + 21*c**2 - 25*c + 11.
5*(c - 4)*(c - 1)
Suppose -1 + 51 = 5*a. Let f be (7/5 - 1)*a. Determine t so that -f - 5*t**2 - 2*t + 2