of r**6/90 - r**5/12 - 7*r**4/36 + 5*r**3/18 + r**2 + 96*r. Factor j(v).
(v - 6)*(v - 1)*(v + 1)**2/3
Let -2*d - 2*d**4 + 2*d + 446 + 4*d**2 - 448 = 0. What is d?
-1, 1
Let s(k) be the second derivative of -3*k**4/5 - 22*k**3/15 - 4*k**2/5 + 16*k - 1. Let s(c) = 0. What is c?
-1, -2/9
Factor 1515*w**2 - 75*w**4 + 588 - 2*w**5 - 445*w**3 - w**5 - 1615*w + 0*w**5 - 65*w + 100*w**3.
-3*(w - 1)**3*(w + 14)**2
Let t = -45 - -37. Let r be 6/4*t/3 - -4. Suppose 2/7*m**4 + r - 2/7*m**3 + 2/7*m - 2/7*m**2 = 0. Calculate m.
-1, 0, 1
Suppose 2*h = -2*h + 28. Suppose 4*f = -2*r + f + h, 4*r - 4 = 4*f. Factor -7*o**r + 9*o**2 - 6*o**2 - 4*o**3.
-4*o**2*(o + 1)
Let n(k) = -k**2 - 8*k + 11. Let f be n(-9). Let 0*u**4 - f*u**3 + 7*u**2 - 3*u**3 + u**4 - 3*u = 0. Calculate u.
0, 1, 3
Let w be (-9 + 2077)*(-1)/(-28)*-3. Let z = 222 + w. Factor -9/7*b**4 + 0 + 0*b**2 - z*b**3 - 6/7*b**5 + 0*b.
-3*b**3*(b + 1)*(2*b + 1)/7
Let f(m) be the first derivative of 11 - 3/2*m + 21/8*m**2 - 2*m**3 + 9/16*m**4. Factor f(q).
3*(q - 1)**2*(3*q - 2)/4
Let j be (-1)/(-2*1/10). Let c be 60/(-18)*(-6)/j. Factor 7*v**2 - 6*v**2 + 3*v**3 - c*v**3.
-v**2*(v - 1)
Suppose 2*x + 17 = 21. Factor 18*n**2 - x*n**2 - 10*n**2 - 20 - n**2.
5*(n - 2)*(n + 2)
Let o(b) = b + 11. Let p be o(-7). Suppose -k + p*k - 150 = 0. Let -r - 7*r**2 - k - r + 5*r**2 + 22*r = 0. What is r?
5
Let x = 70 + -22. Solve -4*u**2 - 53*u - 4 + 109*u - x*u = 0.
1
Let g be (-2)/((-6)/9) - (2 + -4). Let h(z) = -z + 7. Let v be h(g). Find u such that 5/6*u**v + 2/3 + 1/6*u**3 + 4/3*u = 0.
-2, -1
Suppose 15 = -3*v - a, v - 2 = 3*v - 2*a. Let w = v + 6. Determine t so that -1 + 2*t**w + 2*t**2 - 16*t + 3 + 10 = 0.
1, 3
Let k(j) be the second derivative of j**4/15 - 604*j**3/15 + 45602*j**2/5 + 251*j. Factor k(z).
4*(z - 151)**2/5
Let j(y) = 7*y**2 + 4*y + 3. Let p be j(-1). Suppose -2*g - 4 = -4*c, -2*g - p*c + 14 = -c. Factor -2/15*q**5 + 2/15*q**3 + 2/15*q**g + 0 + 0*q - 2/15*q**4.
-2*q**2*(q - 1)*(q + 1)**2/15
Suppose 0 = -2*c + 9 + 7. What is a in 2*a - 2*a - 33*a**3 + 2*a**2 - c*a**2 = 0?
-2/11, 0
Let a be (2 - 3) + (8/4 - -4). Let m be a - (2 - (0 + 3)). Suppose 9/2*d**3 + 0*d + m*d**2 + 0 - 3/2*d**4 = 0. Calculate d.
-1, 0, 4
Factor -4/7 + 2/7*p**2 - 6/7*p**3 + 2/7*p**4 + 6/7*p.
2*(p - 2)*(p - 1)**2*(p + 1)/7
Suppose q = 3*m + 14, -2*q + 3*q - 4*m - 18 = 0. Find n such that 2*n**5 - 28*n**4 + 22*n**4 + 2*n - 4*n**3 + 6*n**2 - 6 + 6*n**q = 0.
-1, 1, 3
Suppose f = 2*s + 1, -4*f - 2*s + 42 = -2. Let g be -10*3/(-72) - (-3)/f. Solve 3/4 + g*a**2 + 3/2*a = 0 for a.
-1
What is q in -11*q**2 + 11*q**4 + 10*q**3 + 0 + 1/2*q**5 - 21/2*q = 0?
-21, -1, 0, 1
Suppose 0*u + 4*u = 0. Suppose -7*v + 2*v + 10 = 0. Suppose -3/2*t**v + 3/4*t + 3/4*t**3 + u = 0. Calculate t.
0, 1
Let o(q) be the first derivative of -q**6/8 + 3*q**5/10 - 9*q**4/40 - 11*q**2 + 5. Let r(m) be the second derivative of o(m). Suppose r(z) = 0. Calculate z.
0, 3/5
Let y(j) be the third derivative of j**8/4032 + j**7/252 + j**6/36 - 13*j**5/20 + 24*j**2. Let s(o) be the third derivative of y(o). Factor s(g).
5*(g + 2)**2
Let b be -4*((-24)/11 + (-10)/(-55)). Suppose 2*r - b = o, -2*r - o - 4 = -3*r. Factor 0 + 2/5*u**5 + 2/5*u**r - 2/5*u**3 - 2/5*u**2 + 0*u.
2*u**2*(u - 1)*(u + 1)**2/5
Let w(z) = z**2 - 2*z + 1. Let i(l) = -2 + l + 19 - 3*l**2 - l + 6*l. Let y(c) = i(c) - 2*w(c). Solve y(s) = 0.
-1, 3
Suppose 18 = 7*n - 3. Solve 1/2*i**n - i + 1/2*i**2 + 0 = 0.
-2, 0, 1
Let p be ((-8)/6)/((-6)/180). Suppose -y - p = -5*y. Determine r, given that -7 + 12*r**2 - 11*r - 24*r**3 + 51*r + 10*r**4 - y*r**3 - 9 = 0.
-1, 2/5, 2
Let l(t) = 2*t**3 + 706*t**2 + 41772*t + 821516. Let a(h) = h**3 + h**2. Let z(o) = 2*a(o) + l(o). Suppose z(v) = 0. What is v?
-59
Factor -10/9*q**2 - 80/3 - 604/9*q.
-2*(q + 60)*(5*q + 2)/9
Let m(q) be the second derivative of q**5/420 - q**4/84 + q**3/42 - 9*q**2/2 + 15*q. Let f(d) be the first derivative of m(d). Factor f(g).
(g - 1)**2/7
Let 12/5*h**4 - 16/5*h**3 + 0 + 14/5*h + 2/5*h**5 - 12/5*h**2 = 0. Calculate h.
-7, -1, 0, 1
Let j(u) be the third derivative of 1/32*u**4 + 0 + 3/8*u**3 + 0*u - 3/80*u**5 - 43*u**2 - 1/160*u**6. Factor j(a).
-3*(a - 1)*(a + 1)*(a + 3)/4
Let o be 5/2 - 3/6. Let g = o + 4. Find n, given that -g*n - 17 - 3*n**2 - 18*n + 6*n - 10 = 0.
-3
Let n be (2 - 7/3)*-12. Suppose -24 + 34 = 5*x. Find w, given that -4 - 7*w**3 + 18*w**x + 5*w**3 - 3*w**4 - 6*w + w**4 - n*w**4 = 0.
-2, -1/3, 1
Find h, given that 1/5*h**5 + 23/5*h + 34/5*h**2 + 8/5*h**4 + 24/5*h**3 + 6/5 = 0.
-3, -2, -1
Let t(d) be the third derivative of -10*d**2 + 1/100*d**5 + 0*d - 1/600*d**6 + 0 - 1/60*d**4 + 0*d**3. Solve t(a) = 0.
0, 1, 2
Factor 5/2*p**5 + 0*p + 320*p**2 + 0 - 35*p**4 + 80*p**3.
5*p**2*(p - 8)**2*(p + 2)/2
Let d = 27 - 24. Factor -d*r + 11*r**2 - 36*r**3 + 0*r + 12*r**4 + 9*r**3 + 7*r**2.
3*r*(r - 1)**2*(4*r - 1)
Let b = -21959/4 - -5576. Find i such that -1045/4*i**3 + 605/2*i**4 - b*i**2 - 5 + 50*i = 0.
-1/2, 2/11, 1
Find z such that -52/15*z**2 - 112/15*z + 2/15*z**3 + 0 = 0.
-2, 0, 28
Let g = 17394/30415 - 2/4345. Factor g*j**2 + 2/7*j**3 + 0 - 6/7*j.
2*j*(j - 1)*(j + 3)/7
Let i(x) be the second derivative of -3*x**5/20 + 19*x**4/12 - x**3 + 8*x - 5. Suppose i(u) = 0. Calculate u.
0, 1/3, 6
Let z be -2 - (-3 - (3 + -2)). Factor -s**3 - 19*s + 5*s**3 + 20*s**z - 5*s.
4*s*(s - 1)*(s + 6)
Let l(u) = -7*u**3 - 6*u**2 - 56*u - 60. Let v(j) = -2*j**3 + j**2 - j - 1. Let z(r) = -5*l(r) + 20*v(r). Solve z(d) = 0 for d.
-2, 14
Let y(o) = 26*o + 575. Let l be y(-22). Factor -1/2*p**2 + 0 + 0*p - 1/2*p**4 + p**l.
-p**2*(p - 1)**2/2
Let w = -2/15989 + 16005/127912. Factor -1/8*m**3 - 1/8*m**2 + 0*m + 0 + 1/8*m**5 + w*m**4.
m**2*(m - 1)*(m + 1)**2/8
Let b(g) be the third derivative of -1/3*g**4 + 0 + 0*g - 1/15*g**5 + 7*g**2 + 1/60*g**6 + 8/3*g**3. Determine m, given that b(m) = 0.
-2, 2
Suppose -5*g = 3*p - 500, 3*p - 751 = -2*g - 254. Determine r, given that -26*r**5 + p*r**3 + 110*r**4 + 100*r**2 + 8*r + 12*r + 51*r**5 = 0.
-2, -1, -2/5, 0
Let q = -15 - -6. Let n be 3/10*(0 - 6/q). Factor 1/5*o**3 + 1/5 - 1/5*o**2 - n*o.
(o - 1)**2*(o + 1)/5
Let h be 16/(-6)*(405/(-36) - -9). Let i be ((-4)/(-50))/((-5)/(h + -306)). Solve -48/5 - 3/5*u**2 + i*u = 0 for u.
4
Let r(u) = -u**3 - 9*u**2 + 11*u + 14. Let i be r(-10). Factor -2*g**3 - 6*g**2 - 166*g**4 - 7*g**3 + 163*g**i.
-3*g**2*(g + 1)*(g + 2)
Let q be ((-3)/9)/(1/316). Let z = -104 - q. Find p such that 0*p - z*p**2 - 2/3*p**4 - 2*p**3 + 0 = 0.
-2, -1, 0
Factor 0 - 68*s**2 - 120*s - 23/2*s**3 - 1/2*s**4.
-s*(s + 4)**2*(s + 15)/2
Solve -162*l - 723 + 538*l - 134*l + l**2 + 2487 - 158*l = 0 for l.
-42
Factor 52/7*b**2 - 2/7*b**3 + 0 - 50/7*b.
-2*b*(b - 25)*(b - 1)/7
Let d(v) = -2*v**4 + v**3 - v**2 - v + 1. Let o(k) = -25*k**5 - 67*k**4 + 256*k**3 + 584*k**2 - 271*k + 1. Let l(x) = -d(x) + o(x). Suppose l(q) = 0. What is q?
-3, 0, 2/5, 3
Suppose 17*f - 214 = 16*f. Let w = f + -214. Factor 0*q**2 - 3/8*q**5 + 0 - 3/8*q + 3/4*q**3 + w*q**4.
-3*q*(q - 1)**2*(q + 1)**2/8
Factor 30*j - 50*j**2 - 9/2.
-(10*j - 3)**2/2
Let x = 903 - 899. Let z(u) be the second derivative of 0 + x*u + 1/30*u**3 + 0*u**2 - 1/100*u**5 + 1/150*u**6 - 1/60*u**4. Suppose z(t) = 0. What is t?
-1, 0, 1
Let n = -38/3 - -13. Suppose -36 = 14*z - 32*z. Factor -1/3 - n*i**3 + 1/3*i + 1/3*i**z.
-(i - 1)**2*(i + 1)/3
Let b(s) be the first derivative of s**4/6 + 26*s**3/9 + 35*s**2/3 - 98*s/3 - 74. Factor b(z).
2*(z - 1)*(z + 7)**2/3
Let f(i) = -1681*i**2 - 68*i + 6. Let j(x) = -2*x - 1. Let h(b) = 4*f(b) + 28*j(b). Factor h(k).
-4*(41*k + 1)**2
Suppose 0 = 6*i + 6 - 36. Factor 2*w**3 - 16*w**2 - 28*w - i*w**4 + 13*w**4 - 16*w**2 - 8 - 10*w**3 + 4*w**5.
4*(w - 2)*(w + 1)**4
Determine z, given that 0*z**2 + 1/2 - 1/4*z**3 + 3/4*z = 0.
-1, 2
Let b(j) = -33*j - 2671. Let k be b(-81). Find v such that 6*v**k - 3/2*v**3 - 9/2*v + 0 = 0.
0, 1, 3
Let 8*t + 39*t + 125 + 5*t**2 + 3*t = 0. What is t?
-5
Let w = -345 + 233. Let k = w - -233/2. Factor -7/2*f - 1 - 1/2*f**4 - k*f**2 - 5/2*f**3.
-(f + 1)**3*(f + 2)/2
Let g(k) = 1. Let t(v) = v**3 + 2*v**2 + v + 1. Let s = -61 + 63. Let m be 0 + 0 + 0 + -2. Let u(p) = m*t(p) + s*g(p). Factor u(b).
-2*b*(b + 1)**2
Let g(n) = -n**4 + n**3 + 6*n**2 - 18*n. Let f(t) = -2*t**4 + 3*t**3 + 11*t*