q - 2)*(q - 1)/5
Let g(o) be the first derivative of o**4 - 8*o**3/3 - 2*o**2 + 8*o - 110. Factor g(y).
4*(y - 2)*(y - 1)*(y + 1)
Let m(a) = -a**3 + 3*a**2 - 28*a - 42. Let b(s) = -6*s**3 + 16*s**2 - 143*s - 211. Let f(v) = 6*b(v) - 33*m(v). Find p, given that f(p) = 0.
-4, -2, 5
Factor -3*n**3 + 2597*n**2 - 3*n**4 - 12*n**3 - 2615*n**2.
-3*n**2*(n + 2)*(n + 3)
Let s(i) be the second derivative of -11/2*i**3 - 29*i + 0 - 3/20*i**5 - 3/2*i**4 - 9*i**2. Factor s(q).
-3*(q + 1)*(q + 2)*(q + 3)
Let w(r) = r**3 + 105*r**2 + 126*r + 49. Let l(b) = -b**3 - 53*b**2 - 64*b - 24. Let p(i) = -9*l(i) - 4*w(i). Find g, given that p(g) = 0.
-10, -1, -2/5
Suppose 92*b = 91*b. Let x(u) be the second derivative of -1/2*u**4 - 3/20*u**5 + 1/2*u**3 + b + 3*u**2 + 2*u. Factor x(j).
-3*(j - 1)*(j + 1)*(j + 2)
Let p = 103 + -63. Let q(r) = -8*r**3 + 28*r**2 - 40*r + 17. Let l(o) = -105*o**3 + 365*o**2 - 520*o + 220. Let s(m) = p*q(m) - 3*l(m). Factor s(f).
-5*(f - 2)**2*(f - 1)
Let y(i) be the third derivative of i**7/70 + 9*i**6/40 + 21*i**5/20 + 19*i**4/8 + 3*i**3 - 75*i**2. Factor y(u).
3*(u + 1)**3*(u + 6)
Suppose 0 = -3*h + 6*h - 2*k - 50, -5*h + 90 = -5*k. Factor h*y + 18*y**3 - 13*y**2 + 2 + 24*y**2 + 19*y**2.
2*(y + 1)*(3*y + 1)**2
Let y(s) be the first derivative of 8 + 0*s + 0*s**3 + 1/10*s**4 - 1/5*s**2. Find u, given that y(u) = 0.
-1, 0, 1
Suppose -8*u = 269 + 259. Let n be u/(-14) - (-26)/91. Let -n*i**5 + 4*i**2 - 6*i - 4*i**4 + 4*i + 7*i**5 = 0. Calculate i.
-1, 0, 1
Find a, given that -4/7 - 4/7*a**2 + 8/7*a = 0.
1
Suppose -2*o - 14 + 9 = -9. Factor 2/3*d**3 + 32*d - 26/3*d**o - 24.
2*(d - 6)**2*(d - 1)/3
Let b(m) be the second derivative of 3/5*m**5 + 0 + 3*m**4 - 2/3*m**6 + 0*m**2 + 9*m + 0*m**3 + 2/21*m**7. Factor b(g).
4*g**2*(g - 3)**2*(g + 1)
Let j be 111*3/1080 - (-6)/90. Let -j*x**3 + 3/4*x**4 + 21/8*x - 9/4*x**2 - 3/4 = 0. Calculate x.
-2, 1/2, 1
Let l(w) = -3*w**5 + 6*w**4 - 8*w**3 - 22*w**2 - 5*w. Let t(n) = n**5 - n**4 + n**2 - n. Let h(j) = l(j) + 4*t(j). Factor h(d).
d*(d - 3)*(d + 1)**2*(d + 3)
Suppose 0 = -45*t + 36*t. Let k(j) be the second derivative of 0*j**2 + 0 + t*j**4 - 1/30*j**5 + 0*j**3 - 3*j. Factor k(h).
-2*h**3/3
Let q = -18 - -2. Let l(u) = u + 28. Let j be l(q). Factor -9*t + 12*t**4 - 33*t**3 + 29*t**2 + 19*t**2 - 6 - j*t**3.
3*(t - 2)*(t - 1)**2*(4*t + 1)
Let z(p) be the third derivative of p**5/360 + 5*p**4/18 + 100*p**3/9 - 36*p**2. Factor z(m).
(m + 20)**2/6
Factor 14/3*r**3 - 164/3*r**2 + 232/3*r + 80/3.
2*(r - 10)*(r - 2)*(7*r + 2)/3
Factor -1654*x + 6020*x**2 - 532*x**3 + 11400*x**2 + 19610*x + 4*x**4.
4*x*(x - 67)**2*(x + 1)
Let b = -16974 - -118840/7. Factor -b*p**2 + 4/7*p + 32/7*p**3 - 2*p**4 + 0.
-2*p*(p - 1)**2*(7*p - 2)/7
Find z, given that -74 + 149 + 867*z - 612*z**2 - 75 + 108*z**3 = 0.
0, 17/6
Let d be 8 + -1 + (-1590)/240. Factor 1/4*c**2 - d*c + 1/8.
(c - 1)*(2*c - 1)/8
Let m(w) be the third derivative of 1/10*w**6 + 0 + 0*w - 2/15*w**5 - 1/6*w**4 + 15*w**2 + 0*w**3. Factor m(v).
4*v*(v - 1)*(3*v + 1)
Let b be ((-2)/(-5))/(18/765). Factor -12*d**3 - 8*d**2 + 17 + 4*d**5 - b.
4*d**2*(d - 2)*(d + 1)**2
Let o = -36 - -42. Suppose -o*y = 3*y. Factor y + 1/4*a**2 + 1/2*a.
a*(a + 2)/4
Let p(v) = -v**3 + 11*v**2 - 4*v + 46. Let z be p(11). Let s be (-1)/1*(2 - 5). What is b in -2/5*b**s + 0 + 0*b**z + 2/5*b = 0?
-1, 0, 1
Suppose 0 = 52*k + 68*k - 360. Find l such that 3*l**5 + 0*l + 19/5*l**4 - k*l**3 + 4/5 - 23/5*l**2 = 0.
-1, -2/3, 2/5, 1
Let m(d) be the third derivative of 4/15*d**3 + 0*d - 25*d**2 + 0 - 13/300*d**5 + 5/12*d**4. Factor m(a).
-(a - 4)*(13*a + 2)/5
Let f(u) be the third derivative of -u**6/280 + 3*u**5/140 - u**4/28 - 165*u**2. Suppose f(k) = 0. Calculate k.
0, 1, 2
Let j = 1 - -4. Suppose 0 = j*v - 502 + 22. Let 94*m - v*m - 2*m**2 - m**2 + m**4 = 0. What is m?
-1, 0, 2
Let o(l) = -2*l**4 + l**3 + 12*l**2 + 18*l + 7. Let p(f) = -f**4 + f**3 + f**2 - 1. Let n(q) = -3*o(q) + 3*p(q). Factor n(u).
3*(u - 4)*(u + 1)**2*(u + 2)
Let y(c) be the second derivative of c**5/70 - c**4/3 - 31*c**3/21 - 16*c**2/7 + 61*c. Determine d so that y(d) = 0.
-1, 16
Factor 40/13*w - 24/13 + 46/13*w**2 + 10/13*w**3.
2*(w + 2)*(w + 3)*(5*w - 2)/13
Let x = 16 + -14. Factor 0*t**4 + 4*t - t**x - 8*t**2 + 12 + 3*t**4 + 8*t - 6*t**3.
3*(t - 2)**2*(t + 1)**2
What is q in 9/8*q + 1/8*q**2 + 9/4 = 0?
-6, -3
Let p(a) be the first derivative of 35*a**3/3 - 340*a**2 - 400*a + 226. What is y in p(y) = 0?
-4/7, 20
Let a(g) be the second derivative of 0*g**2 - 1/80*g**5 + 1/24*g**3 - 1/120*g**6 + 0 + 1/48*g**4 - 20*g. Factor a(s).
-s*(s - 1)*(s + 1)**2/4
Suppose -3*r + 4*w = 11 + 133, 240 = -5*r + 3*w. Let a be r/320 + (-4)/(-10). Solve 0 + 1/2*d + a*d**3 + 3/4*d**2 = 0.
-2, -1, 0
Suppose 5*p = -8*n + 3*n - 570, 3*n + 372 = 3*p. Let z = 243/2 + n. Solve -20 + 10*i - z*i**3 + 5*i**2 = 0 for i.
-2, 2
Factor -16*i + 0 + 4/3*i**4 - 32/3*i**3 + 76/3*i**2.
4*i*(i - 4)*(i - 3)*(i - 1)/3
Let f = -45334/5 - -9067. Determine v, given that -f*v**3 - 3/5*v**2 - 1/5 - 3/5*v = 0.
-1
Let n be 4551/252 - 3/21. Let x = n - 71/4. Factor 0*g + 0*g**2 + 0 - x*g**3.
-g**3/6
Let q(a) be the second derivative of a**9/16632 + a**8/9240 + 4*a**3/3 + 12*a. Let s(m) be the second derivative of q(m). Factor s(i).
2*i**4*(i + 1)/11
Let f be (-16)/32*2/(-8). Let h(z) be the second derivative of -f*z**3 - z + 1/4*z**2 - 5/48*z**4 + 0. Factor h(q).
-(q + 1)*(5*q - 2)/4
Let o(b) be the first derivative of -3*b**4/4 - 3*b**3 - 3*b**2 + 46. Let o(a) = 0. Calculate a.
-2, -1, 0
Let h(z) be the third derivative of -z**6/80 + 3*z**5/40 + 3*z**4/8 - 2*z**3 + 46*z**2 - z. Let h(n) = 0. Calculate n.
-2, 1, 4
Let w(g) be the third derivative of 0*g + 0*g**5 + 0*g**3 + 1/672*g**8 + 16*g**2 + 1/420*g**7 + 0 + 0*g**4 + 0*g**6. Find s, given that w(s) = 0.
-1, 0
Let d = -153906/5 + 30601. Let n = 181 + d. Factor 0*z + 0 + 2/5*z**4 + 2/5*z**2 - n*z**3.
2*z**2*(z - 1)**2/5
Suppose -4*c + l = 3*l - 78, -5*l + 33 = c. Let r = 56/3 - c. Suppose -r*m - 1/3*m**2 - 1/3 = 0. Calculate m.
-1
Let x(j) be the third derivative of -j**5/60 + 2*j**4/3 + 17*j**3/6 - 51*j**2. Factor x(k).
-(k - 17)*(k + 1)
Suppose 21*u - 5*u = -288. Let l be 92/90 - (-4)/u. Let -2/5*w + 0 - l*w**2 = 0. What is w?
-1/2, 0
Let 363/5*q**5 + 96/5 + 1032*q**3 + 912*q**2 + 462*q**4 + 240*q = 0. Calculate q.
-2, -2/11
Let j(k) = 3*k**2 - 27*k - 7. Let m(q) = -q. Let g(z) = 4*j(z) - 28*m(z). Solve g(x) = 0 for x.
-1/3, 7
Let y(b) be the first derivative of -1/3*b**3 + 5/2*b**2 + 10 - 6*b. What is i in y(i) = 0?
2, 3
Determine m so that 2*m**3 + 2589*m + m**3 - 2589*m - 3*m**4 + 6*m**2 = 0.
-1, 0, 2
Let o(j) be the second derivative of -j**4/42 + 8*j**3/7 + 25*j**2/7 - 2*j - 13. Factor o(t).
-2*(t - 25)*(t + 1)/7
Let u(w) = -w**2 + 125*w + 110. Let f(n) = -6*n**2 + 627*n + 549. Let p(b) = -4*f(b) + 21*u(b). Factor p(x).
3*(x + 1)*(x + 38)
Suppose 2*a - 15 + 17 = -4*x, 10 = -2*a. Let h(l) be the second derivative of -2*l**x + 1/40*l**5 + 0 + l**3 + 9*l - 1/4*l**4. Find u such that h(u) = 0.
2
Suppose -12*y + 2 = -11*y. What is v in -36 - 4*v**y - 7*v**2 + 86 - 4*v**2 + 65*v = 0?
-2/3, 5
Let r(l) = -4*l**5 + 9*l**3 - 5*l**2 - l + 1. Suppose 8 = -12*g - 4. Let h(t) = t**5 - t**4 - t**3 + t**2 + t - 1. Let b(p) = g*h(p) - r(p). Factor b(j).
j**2*(j - 1)*(j + 2)*(3*j - 2)
Let z(x) = -x**2 + x**2 - x**2. Let r(h) = -h. Let n(m) = -m**2 + 3*m. Let y(d) = -n(d) - 3*r(d). Let s(w) = 3*y(w) + 5*z(w). What is j in s(j) = 0?
0
Let n(l) = 6*l - 29. Let y be n(-17). Let w = y + 1187/9. Factor 8/9*s + w + 2/9*s**2.
2*(s + 2)**2/9
Suppose 6*a = 2*a + 48. Find m such that -3*m**4 - 36*m - m**3 - 8*m**3 - 9*m**3 - a - 39*m**2 + 0*m**3 = 0.
-2, -1
Let y = 892/7 + -8014/63. Let z(f) be the first derivative of -4/3*f - 1 - y*f**3 + f**2. Solve z(r) = 0 for r.
1, 2
Let z(t) be the first derivative of 6/5*t + 1/15*t**3 + 7/10*t**2 + 5. Find d such that z(d) = 0.
-6, -1
Factor 147 - 5*c**2 - 3*c**3 - 22*c**3 + 105*c - 57 - 5*c**4.
-5*(c - 2)*(c + 1)*(c + 3)**2
Let n(l) = l + 16. Let c be n(-10). Let d(s) be the second derivative of 8/33*s**4 + 0*s**3 + 6*s + 0*s**2 - 4/55*s**5 + 0 + 1/165*s**c. Solve d(m) = 0.
0, 4
Let m(g) be the third derivative of -g**6/140 - g**5/105 + 11*g**4/84 + 10*g**3/21 - 109*g**2. Let m(b) = 0. Calcula