Factor 175*g - 202*g + 2*g**2 + 3*g**2 + 187*g + 1280.
5*(g + 16)**2
Let l(a) = 2*a**3 - a**2 + a. Let m(x) = 3113*x**3 - 3619*x**2 + 514*x - 20. Let q(p) = 6*l(p) + m(p). Factor q(r).
5*(r - 1)*(25*r - 2)**2
Let s(v) be the second derivative of 0 - v**4 + 0*v**3 + 0*v**2 + 7/5*v**5 + 2/21*v**7 - 2/3*v**6 + 24*v. Suppose s(l) = 0. What is l?
0, 1, 3
Let t(f) be the third derivative of -f**5/20 + 11*f**4/4 + 3*f**2 + 36. Factor t(v).
-3*v*(v - 22)
Let u(q) be the first derivative of q**4/6 + 26*q**3/3 + 169*q**2 - 43*q + 9. Let m(o) be the first derivative of u(o). Factor m(k).
2*(k + 13)**2
Let o(g) = g**2 - g. Let y(r) = -2*r**3 + 26*r**2 - 20*r - 28. Let c(f) = -20*o(f) + 2*y(f). Determine v, given that c(v) = 0.
-1, 2, 7
Let n(l) be the first derivative of l**6/2700 + l**5/450 + l**4/180 + 5*l**3 - 13. Let i(k) be the third derivative of n(k). Solve i(o) = 0 for o.
-1
Let v(h) be the first derivative of -2*h**3/3 - 14*h**2 + 30*h + 46. Factor v(d).
-2*(d - 1)*(d + 15)
Find m such that 0 - 32/3*m**3 + 0*m + 26/9*m**4 + 8*m**2 - 2/9*m**5 = 0.
0, 1, 6
Suppose 35 = 2*r - 5*u, 4*r + 0*u + 5*u = -5. Factor -6*n**2 - 61*n**3 + 196 + 56*n - 4*n**4 + r*n**3 - 186*n**2.
-4*(n - 1)*(n + 1)*(n + 7)**2
Let j(i) be the third derivative of -i**7/70 + 13*i**6/40 - 2*i**5 + 282*i**2. Suppose j(k) = 0. What is k?
0, 5, 8
Factor -2/3*g**3 + 32/3*g - 2*g**2 - 8.
-2*(g - 2)*(g - 1)*(g + 6)/3
Let d(a) be the second derivative of -a**6/75 + a**4/10 + 2*a**3/15 + a + 37. What is v in d(v) = 0?
-1, 0, 2
Let o = -392 - -66. Let v = o + 1642/5. Solve v + 8/5*z - 4/5*z**2 = 0.
-1, 3
Suppose 8*x + 16 = 16*x. Determine f, given that 18*f**2 + x*f - 6*f - f**3 - 22*f**2 = 0.
-2, 0
Let i = 27/38 - -345/76. Let l(n) be the first derivative of -3*n**2 - 9*n**3 + 4 + 0*n - i*n**4. Suppose l(j) = 0. What is j?
-1, -2/7, 0
Let r(k) be the second derivative of k**4/12 - 13*k**3/6 + 16*k**2 + 31*k. Let b be r(10). Factor -2/11*y**b - 8/11 + 8/11*y.
-2*(y - 2)**2/11
Let k be -1 + -1 + (96 - 11). Suppose 3*i - k = -5*z, -4*z + z + 21 = i. Solve n**4 - 5*n - i*n**3 - n - 8*n**4 - 27*n**2 - 8*n**4 = 0.
-1, -2/5, 0
Suppose 4*u - 11 = -5*q, -7*u - 4 = -3*u. Find m such that 40 + 310*m**2 - 80*m**4 + 85*m**q - 35*m**5 + 282*m - 110*m + 48*m = 0.
-2, -1, -2/7, 2
Let a(y) be the third derivative of y**7/735 + y**6/140 - y**5/210 - y**4/28 - 2*y**2 - 23*y. Factor a(f).
2*f*(f - 1)*(f + 1)*(f + 3)/7
Suppose 0*i = -o - 5*i + 13, 4*o = -i + 14. Suppose -o*d + 0 + 6 = 0. Factor g + 6*g**2 - g**3 + 2*g - 6 - d*g**3.
-3*(g - 2)*(g - 1)*(g + 1)
Determine b, given that 3*b - 1/2*b**2 - 4 = 0.
2, 4
What is z in -3/2 + 27/4*z + 9/4*z**3 - 15/2*z**2 = 0?
1/3, 1, 2
Let r(j) = j**3 + 10*j**2 - 10*j + 15. Let d be r(-11). Let w be d*((-6)/(-8) - 0). Factor -2/5*q + 0 - 2/5*q**w - 4/5*q**2.
-2*q*(q + 1)**2/5
Let m(r) = r**3 - 6*r**2 - 9*r - 5. Let t(q) = q**3 - q - 1. Let a(s) = -2*m(s) + 6*t(s). Find f, given that a(f) = 0.
-1
Factor 24/5 - l**2 - 2/5*l + 1/5*l**3.
(l - 4)*(l - 3)*(l + 2)/5
Let n(r) = r**2 + r - 2. Let o be n(-3). Suppose 4*l = o + 12. Factor -5*h**2 + 2*h - 2*h**3 + 0*h**4 + 2*h**l + 3*h**2.
2*h*(h - 1)**2*(h + 1)
Let v = -37 + 56. Suppose -v + 94 = 5*a. Let 4*t + 31 + 16*t**3 - a - 60*t**2 + 44*t = 0. Calculate t.
-1/4, 2
Let d(a) = -84*a**4 - 637*a**3 + 959*a**2 - 216*a. Let m(z) = 28*z**4 + 212*z**3 - 320*z**2 + 72*z. Let v(p) = 4*d(p) + 11*m(p). Suppose v(h) = 0. What is h?
-9, 0, 2/7, 1
Let u(d) = d**2 - 426*d - 427. Let m be u(-1). Find f, given that m*f + 2/11*f**4 + 2/11 - 4/11*f**2 + 0*f**3 = 0.
-1, 1
Let z(r) = -9*r - 26 - 2*r**2 - 17*r - 4*r. Let x be z(-14). Let -2/3*u**2 + x*u + 8/3 = 0. What is u?
-1, 4
Let a(z) be the first derivative of 1/6*z**6 - 2/3*z**3 + z - 1/2*z**4 - 51 + 1/2*z**2 + 1/5*z**5. Factor a(q).
(q - 1)**2*(q + 1)**3
Let z(j) be the first derivative of -2*j**5/25 + 3*j**4/10 - 4*j**2/5 + 41. Factor z(w).
-2*w*(w - 2)**2*(w + 1)/5
Let z be 9/(-3*5/(-15)). Let a(o) = -o**4 + o**2 - 1. Let s(q) = 12*q**4 - 6*q**3 - 6*q**2 + 9. Let n(c) = z*a(c) + s(c). Suppose n(j) = 0. Calculate j.
0, 1
Suppose 40*f = -16*f + 41*f. Factor -4/3*t**2 + f + 2/3*t + 2/3*t**3.
2*t*(t - 1)**2/3
Let n be -4 + -29 + 0 + 0. Let a be 138/33 + (4 - (-138)/n). Factor 2/7*v**5 + 0 - 10/7*v**2 - 4/7*v - 6/7*v**3 + 2/7*v**a.
2*v*(v - 2)*(v + 1)**3/7
Let s(x) be the second derivative of -x**7/21 + 2*x**5/5 - 91*x. Factor s(t).
-2*t**3*(t - 2)*(t + 2)
Let o(b) be the first derivative of 6 - 4/7*b**3 - 3/28*b**4 + 6/7*b**2 + 0*b + 3/35*b**5. Factor o(x).
3*x*(x - 2)*(x - 1)*(x + 2)/7
Let h be 8 - (2 - -2) - 0. Factor 2*g - 4*g**2 + g**2 - 2*g**4 + 4*g**4 - g**h.
g*(g - 1)**2*(g + 2)
Let b(p) be the third derivative of 2*p**7/315 + p**6/18 + p**5/5 + 7*p**4/18 + 4*p**3/9 - p**2 - 6*p. What is z in b(z) = 0?
-2, -1
Factor 0 + 3/5*l**2 + 93/5*l.
3*l*(l + 31)/5
Determine c, given that 3/8*c**4 + 21/4*c**2 + 6*c - 6*c**3 - 45/8 = 0.
-1, 1, 15
Let k(j) = j**2 - j - 2. Let d(m) = 3*m**2 - 4*m - 6. Suppose -i = -5*i, 4*i + 2 = y. Let w(v) = y*d(v) - 7*k(v). Solve w(s) = 0 for s.
-2, 1
Let p(h) be the second derivative of h**4/4 - 21*h**3/2 - 69*h**2 + 914*h. Determine q, given that p(q) = 0.
-2, 23
Factor 11*g**3 + 45*g + 6*g**3 + 708*g**2 - 758*g**2 - 12*g**3.
5*g*(g - 9)*(g - 1)
Factor 2/5*n - 2/5 - 2/5*n**3 + 2/5*n**2.
-2*(n - 1)**2*(n + 1)/5
Factor -2420/3 - 220/3*o - 5/3*o**2.
-5*(o + 22)**2/3
Let k = 5039 + -20155/4. Factor 1/4*i**2 + 1/4*i**3 - k*i - 1/4.
(i - 1)*(i + 1)**2/4
Solve 12/7*p**5 + 8/7*p**2 + 32/7*p - 44/7*p**3 + 0 - 8/7*p**4 = 0 for p.
-4/3, -1, 0, 1, 2
Let p = -253 - -68311/270. Let r(t) be the third derivative of -p*t**5 + t**2 + 0 + 1/54*t**4 + 0*t - 1/27*t**3. What is s in r(s) = 0?
1
Suppose -2*u + 2 = u + 4*v, -8 = -5*u - 2*v. Let j(h) be the third derivative of 4/105*h**5 - 9*h**u + 0*h + 0 + 2/21*h**4 + 0*h**3 + 1/210*h**6. Factor j(y).
4*y*(y + 2)**2/7
Let d(j) be the second derivative of 5*j**4/36 - 85*j**3/18 + 40*j**2/3 - 7*j + 5. What is c in d(c) = 0?
1, 16
Let z(n) = 5 + 13*n - 8*n + n + 9*n - 25*n**2 + 10*n**3. Let s(q) = -5*q**3 + 13*q**2 - 8*q - 2. Let d(x) = -5*s(x) - 2*z(x). Factor d(a).
5*a*(a - 2)*(a - 1)
Let t = 1982 - 1977. Factor -1/2*y - 1/2*y**t - 2*y**4 - 3*y**3 - 2*y**2 + 0.
-y*(y + 1)**4/2
Let l = 36159/11 - 3287. Solve -l + 8/11*f - 6/11*f**2 = 0.
1/3, 1
Let u(z) be the third derivative of 133*z**6/24 + z**5/10 - 7*z**4/2 + 4*z**3/3 - 709*z**2. Suppose u(d) = 0. What is d?
-2/5, 2/19, 2/7
Let n = 10 + -8. Let s = 8 + n. Find k such that -5*k**4 - 15*k**3 + 140*k - 140*k - s*k**2 = 0.
-2, -1, 0
Let s(c) = 2*c**2 + 2*c + 2. Let p be s(-1). Determine m so that -45*m**2 - 14 - 16*m + 14*m**2 + 18*m**p + 11*m**2 = 0.
-7, -1
Let s(b) = b**3 - 193*b**2 + 275*b - 77. Let f(x) = -386*x**2 + 551*x - 155. Let a(u) = 3*f(u) - 5*s(u). Factor a(p).
-(p - 1)*(p + 40)*(5*p - 2)
Let k(r) be the first derivative of r**6/14 + 6*r**5/35 - 6*r**4/7 + 2*r**3/7 + 3*r**2/2 - 12*r/7 + 9. Factor k(f).
3*(f - 1)**3*(f + 1)*(f + 4)/7
Let c be ((-162)/(-135))/(2/(-10)*1). Let t be ((-2)/c)/((-10)/(-45)). Find i, given that 0 - 3/2*i + t*i**2 = 0.
0, 1
Let s(d) = -d**2 + d - 1. Let m be s(2). Let c be (-4 - m)*-12 - 4. Factor -14*r**2 - 16*r + c*r**2 + 16 + 10*r**2.
4*(r - 2)**2
Let j(n) be the first derivative of n**6/42 + n**5/35 - n**4/28 - n**3/21 - 343. Factor j(y).
y**2*(y - 1)*(y + 1)**2/7
Suppose 2*w = 0, -3*w + 8 = b - 7*w. Factor -26*s - 22*s - b*s**3 - s**3 - 2 - 10 - 39*s**2.
-3*(s + 2)**2*(3*s + 1)
Let j(p) be the second derivative of p**7/69 + 37*p**6/345 - 33*p**5/46 - 85*p**4/138 + 158*p**3/69 + 48*p**2/23 - 600*p. Find d, given that j(d) = 0.
-8, -1, -2/7, 1, 3
Let j be 374/44 - (1 - -6). Factor -9*x**2 - 27/4*x - 3*x**3 - j.
-3*(x + 2)*(2*x + 1)**2/4
Let r(y) = y**3 + 4*y**2 - 7*y + 8. Let d(a) = -a**2 + 2 + 2*a - 3 - a. Let q = -277 - -278. Let o(n) = q*r(n) + 6*d(n). Let o(k) = 0. Calculate k.
-1, 1, 2
Let u = 2465 - 2463. Factor 3/2*c**3 - 1/2*c**u + 0*c + 0 + 1/2*c**5 - 3/2*c**4.
c**2*(c - 1)**3/2
Let y(m) be the second derivative of -2*m**6/15 + 2*m**5/5 + m**4 - 8*m**3/3 - 8*m**2 - 160*m. Factor y(t).
-4*(t - 2)**2*(t + 1)**2
Let n(r) be the third derivative of r**8/84 - r**6/6 + 2*r**4/3 + 197*r**2. What is a in n(a) = 0?
-2, -1, 0, 1, 2
Let b(r) 