st derivative of -42 - 14/15*u**2 + 98/15*u + 2/45*u**3. Factor l(s).
2*(s - 7)**2/15
Let -2 + 7 + 0*b**3 + 30*b - 3*b**3 + 27*b**2 - 5 = 0. What is b?
-1, 0, 10
Let f(s) = -25*s**2 + 613*s + 608. Let h(u) = 40*u**2 - 1225*u - 1215. Let z(w) = -5*f(w) - 3*h(w). Factor z(x).
5*(x + 1)*(x + 121)
Let q(d) = -d**3 - 7*d**2 + 3*d. Let c = -27 + 25. Let j(v) = 3*v**2 - v. Let w(r) = c*q(r) - 5*j(r). Factor w(m).
m*(m - 1)*(2*m + 1)
Suppose 4*o - 57 = i, 4*o + i - 34 = o. Let r = -11 + o. Solve -r*f + f**4 - f**3 + 2*f + 0*f**3 + f**5 - f**2 = 0 for f.
-1, 0, 1
Let 35/2*l**4 + 45/2*l**2 + 60*l**3 - 405/4*l + 0 + 5/4*l**5 = 0. Calculate l.
-9, -3, 0, 1
Determine x so that -2/5*x**2 + 0 + 16/5*x = 0.
0, 8
Let l be (113 + -104 + 31/(-4))/1. Determine g, given that g - l*g**2 - 1/4 + 1/2*g**3 = 0.
1/2, 1
Let a(i) = -2*i**3 + 27*i**2 + 20*i - 45. Let c(w) = -4*w**3 + 28*w**2 + 20*w - 44. Let g(v) = 4*a(v) - 3*c(v). Solve g(q) = 0 for q.
-4, -3, 1
Let j(i) be the second derivative of i**5/10 - 2*i**4/3 - 29*i**3/3 - 24*i**2 + i - 44. Find c such that j(c) = 0.
-3, -1, 8
Let y(m) = 7*m**3 + 12*m**2 + 17*m. Let t(b) = -13*b**3 - 24*b**2 - 32*b. Let c(q) = 4*t(q) + 7*y(q). Factor c(g).
-3*g*(g + 1)*(g + 3)
Let u(w) be the second derivative of w**8/10080 + w**7/3780 - w**6/1080 - w**5/180 + 7*w**4/6 - 10*w. Let b(f) be the third derivative of u(f). Factor b(v).
2*(v - 1)*(v + 1)**2/3
Let a = 5 - -1. Suppose a*c**2 - 3*c**2 - 4*c + c = 0. Calculate c.
0, 1
Let i = -530 + 530. Let m(j) be the second derivative of 0*j**3 + 0*j**4 + 0 - 6*j - 1/15*j**6 - 1/21*j**7 + 0*j**2 + i*j**5. Suppose m(w) = 0. What is w?
-1, 0
Let m(o) be the second derivative of -o**6/5 + 21*o**5/20 - 3*o**4/2 - o**3/2 + 3*o**2 + 14*o. Solve m(l) = 0.
-1/2, 1, 2
Let s(l) be the third derivative of -8*l**7/735 - 17*l**6/210 + 24*l**5/35 - 37*l**4/42 - 4*l**3/3 - l**2 - 295*l. Determine f so that s(f) = 0.
-7, -1/4, 1, 2
Let c(s) = -133*s**2 + 20*s - 102. Let n be c(7). Let d be (-6)/11 + (-8990)/n. Suppose 2/19*h**2 + 32/19 + d*h = 0. What is h?
-4
Let y = -169 + 209. Let f be (y/210)/(4/14). Factor -f*o**2 + 2/3 + 0*o.
-2*(o - 1)*(o + 1)/3
Let a(q) = -4*q**2 + 13*q - 12. Let u(i) = -4*i**2 + 12*i - 12. Suppose f = -2, 4*s + f - 12 = -2. Let h(b) = s*u(b) - 4*a(b). Solve h(v) = 0.
1, 3
Factor 0*q**3 - 84*q**4 + 5*q**3 + 37*q**4 + 44*q**4 + 4*q**3 + 54*q**2.
-3*q**2*(q - 6)*(q + 3)
Find q, given that -2/7*q - 2/7*q**2 + 12/7 = 0.
-3, 2
Suppose 2*g - 22 = 4*b, 4*g - 5*b = 8*g + 8. Let u(o) = -711*o + 21332. Let k be u(30). Solve -9/2*q + 6*q**2 + 1 - k*q**g = 0 for q.
1/2, 2
Factor 8*v**3 - 4*v**3 + 1004 - 28*v**2 - 1024 + 44*v.
4*(v - 5)*(v - 1)**2
Let q(a) = 6*a**4 - 3*a**3 - 39*a**2 + 27*a. Suppose 12 = -20*b + 23*b. Let m(d) = -3*d**4 + 2*d**3 + 19*d**2 - 14*d. Let h(w) = b*q(w) + 9*m(w). Factor h(c).
-3*c*(c - 3)*(c - 1)*(c + 2)
Let z(q) be the first derivative of q**3/4 - 3*q**2 + 12*q - 11. Let z(c) = 0. Calculate c.
4
Factor -38*l**3 - 2/17*l**5 + 0*l + 0 - 70/17*l**4 - 34*l**2.
-2*l**2*(l + 1)*(l + 17)**2/17
Solve -t**4 + 20 - 11*t**3 - 21 + 1 = 0.
-11, 0
Let n = -46122 + 92249/2. Determine y so that n*y**2 + 3/2*y**3 - 8*y - 6 = 0.
-3, -2/3, 2
Let y(u) be the first derivative of -3/4*u**4 + 4 - 9/2*u**2 - 3*u - 3*u**3. Let y(a) = 0. Calculate a.
-1
Suppose 23 = 5*y - 12. Factor j**3 + j**2 + 5*j**2 - y*j**3 + 3*j**3.
-3*j**2*(j - 2)
Let l(d) be the first derivative of -8/17*d + 2/51*d**3 - 8 - 3/17*d**2. Factor l(o).
2*(o - 4)*(o + 1)/17
Let b = -65 - -63. Let q be 1*(0 + b) - (5 + -7). Find i such that 1/3*i**2 + q + 0*i - 1/3*i**3 = 0.
0, 1
Let y(h) be the third derivative of 1/75*h**5 - 1/150*h**6 + 0 + 0*h + 0*h**3 - 39*h**2 + 1/15*h**4. Let y(g) = 0. What is g?
-1, 0, 2
Let f(o) = 20*o + 13. Let t be f(3). Let r = t + -70. Factor 0*l - 1/7*l**r - 2/7*l**2 + 0.
-l**2*(l + 2)/7
Let q(p) be the second derivative of 2*p**7/21 + 2*p**6/15 - 6*p - 2. Solve q(h) = 0 for h.
-1, 0
Let h(k) be the second derivative of 0*k**5 + 0 - k + 0*k**2 + 4/105*k**6 + 0*k**4 - 2/147*k**7 + 0*k**3. Factor h(g).
-4*g**4*(g - 2)/7
Find s such that 1 - 1 + 48*s**3 + 87*s**3 - 8*s**2 + 3*s**2 = 0.
0, 1/27
Let o(r) be the third derivative of -r**6/240 + r**4/4 + 2*r**3/3 - 12*r**2. Let z(g) be the first derivative of o(g). Factor z(i).
-3*(i - 2)*(i + 2)/2
Let s(j) be the first derivative of 3*j**5/5 + 3*j**4/4 - 27*j**3 + 81*j**2/2 + 162*j + 30. Find g such that s(g) = 0.
-6, -1, 3
Let v(r) be the second derivative of -9*r**5/20 + 5*r**4/4 + 3*r**3 - 12*r**2 - r + 283. Let v(g) = 0. Calculate g.
-4/3, 1, 2
Factor -49*b + 27/4*b**3 + 42*b**2 + 1/4*b**4 + 0.
b*(b - 1)*(b + 14)**2/4
Suppose -39 = 8*c - 11*c. Solve 4 - 17*n**3 + c*n**2 + 20 + 14*n**3 - 36*n + 5*n**2 = 0.
2
Let c(s) = 3*s**4 - s**3 - 6*s**2 - 2*s. Let x(r) be the first derivative of 3*r**5/5 - 2*r**3 - 3*r**2/2 - 5. Let t(d) = -3*c(d) + 2*x(d). Factor t(q).
-3*q**2*(q - 2)*(q + 1)
Suppose 0 = 3*d - 9, -3*l - d = 2*l - 88. Factor b**3 + 9 - 4*b**2 + 8 + 4*b - l.
b*(b - 2)**2
Suppose -6*y - 617 = -35. Let c = 486/5 + y. Factor -1/5 - c*u**2 + 2/5*u.
-(u - 1)**2/5
Let -20*r**4 - 35*r**2 - 4*r**4 + 3*r**4 - 12*r**4 + 5 - 65*r**3 + 3*r**4 + 5*r = 0. What is r?
-1, -1/2, 1/3
Let k(u) be the second derivative of -u**4/28 + 276*u**3/7 - 114264*u**2/7 + 580*u. Suppose k(r) = 0. What is r?
276
Let q(z) be the second derivative of -z**4/16 - 11*z**3/8 - 21*z**2/2 + 10*z - 6. Factor q(t).
-3*(t + 4)*(t + 7)/4
Let b(c) be the first derivative of 2*c**5/25 - 14*c**4/5 + 52*c**3/5 - 76*c**2/5 + 10*c + 205. Factor b(i).
2*(i - 25)*(i - 1)**3/5
Let y(a) be the second derivative of 7*a + 1/2*a**6 + 5/12*a**4 + 0*a**3 + 0*a**2 + 0 - 5/42*a**7 - 3/4*a**5. Factor y(o).
-5*o**2*(o - 1)**3
Let c(t) be the first derivative of -t**4/8 + 2*t**3/3 + 11*t**2/4 + 3*t - 343. What is p in c(p) = 0?
-1, 6
Let k(p) be the third derivative of -p**6/20 - 2*p**5/3 + 3*p**4/4 + 14*p**3/3 + 72*p**2 + 2. Let k(q) = 0. What is q?
-7, -2/3, 1
Let g(s) = -s. Suppose 5*n = 10*n + 10. Let m be g(n). Factor -4 + 3*k + 4 + 4 + k**2 - m.
(k + 1)*(k + 2)
Let i = 644 + -2575/4. Let r(z) be the first derivative of 5/8*z**2 + 6 + 1/24*z**6 - 1/4*z + 5/8*z**4 - 5/6*z**3 - i*z**5. Factor r(n).
(n - 1)**5/4
Suppose a = -10*a + 22. Find t such that -18/5*t**3 - 4/5 + 18/5*t + 4/5*t**a = 0.
-1, 2/9, 1
Let d(v) = -120*v**2 + 275*v - 35. Let y(m) = 179*m**2 - 412*m + 52. Let r(g) = -8*d(g) - 5*y(g). Factor r(k).
5*(k - 2)*(13*k - 2)
Let g(t) = -3 + 6*t**2 - 5*t**2 + 12*t - 3*t**2. Let y(q) = 3*q**2 - 13*q + 2. Let i(s) = -2*g(s) - 3*y(s). Let i(k) = 0. What is k?
0, 3
Factor -772 + 1201*a + 1574*a**2 + 454*a - 1589*a**2 + 222.
-5*(a - 110)*(3*a - 1)
Let i = -3/1345 + 2699/4035. Factor -4/3*f - i*f**2 + 0.
-2*f*(f + 2)/3
Suppose 5*h = 24*h + 13*h. Let r be 28/35 + 52/(-140). Factor -r*z**3 + h*z**2 + 3/7*z + 0.
-3*z*(z - 1)*(z + 1)/7
Let d(a) be the second derivative of -27*a**6/100 - 207*a**5/200 + 13*a**4/15 - a**3/5 + 203*a - 2. Factor d(b).
-b*(b + 3)*(9*b - 2)**2/10
Let u be 24/50*40/1. Let m(h) = -2*h - 1. Let t be m(-2). What is f in 279/5*f**2 + 12/5 + 30*f**4 + u*f + 69*f**t = 0?
-1, -1/2, -2/5
Let m = 9 + -8. Determine t, given that -5*t**5 - m - 5*t**3 + 15*t**4 + 96*t**2 + 1 - 111*t**2 + 10*t = 0.
-1, 0, 1, 2
Let z(v) be the second derivative of -2*v**5/15 - 5*v**4/9 - 25*v**3/27 + 7*v**2 + 7*v. Let m(q) be the first derivative of z(q). Let m(h) = 0. What is h?
-5/6
Let p(o) = 8*o**2 - 60*o + 252. Let h(c) = 0*c + c**2 + 0*c - 4 + c + 3. Let i(w) = 4*h(w) - p(w). Factor i(j).
-4*(j - 8)**2
Let c = -389/5 + 1169/15. Let o(u) be the first derivative of 2/15*u**2 + 2/45*u**3 + 2 + c*u. Factor o(n).
2*(n + 1)**2/15
Suppose -216*d + 3*d - 3*d + 432 = 0. Factor 7/2*c**4 + 33/2*c**3 - 3 + 7/2*c + 39/2*c**d.
(c + 1)**2*(c + 3)*(7*c - 2)/2
Factor 154*l - l**2 + 447 - 3804 - 2572.
-(l - 77)**2
Let i(v) be the second derivative of -3*v**5/20 + 3*v**3/2 + 3*v**2 - 13*v + 20. Solve i(w) = 0 for w.
-1, 2
Let z(m) = -m**3 - 7*m**2 + 33*m. Let o be z(-10). Let y be (-14)/8 - (-8 + o/(-5)). Find d, given that -y*d**3 - d + 0 + d**2 = 0.
0, 2
Let y(c) = -3*c**2 + 33*c + 105. Let r(o) = -2*o - 1. Let p(x) = 15*r(x) + y(x). Factor p(l).
-3*(l - 6)*(l + 5)
Let a(w) be the first derivative of 2 + 3/28*w**