/5
Let b(l) = -12*l**3 - 17*l**2 + 36*l. Let s(i) = 8*i**3 + 11*i**2 - 24*i. Let q(z) = 5*b(z) + 7*s(z). Factor q(v).
-4*v*(v - 1)*(v + 3)
Let d(i) be the first derivative of 35*i**4/4 + 15*i**3 + 5*i**2 - 13. Factor d(g).
5*g*(g + 1)*(7*g + 2)
Let l = 29 - 15. Suppose b - 2*r + 10 = 5*b, 5*b - l = -4*r. What is f in 12*f - 1 - 10*f - 2*f**b + 1 = 0?
0, 1
Let t(r) be the first derivative of -r**4 - 2*r**3/3 + 9. Solve t(q) = 0 for q.
-1/2, 0
Let q(l) be the third derivative of -l**8/672 + l**6/120 - l**4/48 - l**2. Factor q(t).
-t*(t - 1)**2*(t + 1)**2/2
Determine s, given that 2/3*s**5 + 2/3*s**4 - 2 + 10/3*s + 4/3*s**2 - 4*s**3 = 0.
-3, -1, 1
Let o be (-1)/(-4) + (-115)/(-20). Let z = o + 79. Let -2*s**4 - 6*s - s**4 - 82 + z + 6*s**3 = 0. What is s?
-1, 1
Let u(h) be the third derivative of -h**6/180 - 4*h**5/105 - h**4/21 - h**3/2 + 3*h**2. Let t(y) be the first derivative of u(y). What is d in t(d) = 0?
-2, -2/7
Let j(i) be the third derivative of -i**5/240 + i**4/24 - 4*i**2. Factor j(y).
-y*(y - 4)/4
Let o(y) = 0*y**3 - 2*y**3 + 5 + y**2 - 2 - 6*y**2. Let j(i) = 3*i**3 + 9*i**2 - 5. Let r(d) = 3*j(d) + 5*o(d). Solve r(s) = 0.
0, 2
Let w = -16/3 - -6. Let g = w - 1/6. Solve 0 + 0*s + g*s**4 + 0*s**3 - 1/2*s**2 = 0.
-1, 0, 1
Solve -12*u**2 + 0*u**4 - 24*u + 90*u**3 + 3*u**4 - 84*u**3 = 0.
-2, 0, 2
Let r(y) = -y**3 - 5*y**2 - 4*y + 2. Suppose 0 = 4*x - 3 + 19. Let f be r(x). Factor 0 + 2/9*q**f - 2/9*q.
2*q*(q - 1)/9
Let b(j) be the third derivative of -j**10/5040 + j**9/7560 - j**4/12 - j**2. Let x(w) be the second derivative of b(w). Solve x(t) = 0 for t.
0, 1/3
Let u = -87/25 + 1649/50. Let p = u - 29. Solve -3/2*a**2 - p*a**3 + 7/4*a**4 + 5/4*a - 3/4*a**5 - 1/4 = 0.
-1, 1/3, 1
Let f(c) = c**4 + c**2 - 1. Let j(q) = q**5 - 4*q**4 - 2*q**3 - q**2 + q + 2. Suppose 0 = -2*v - 0*v + 12. Let b(w) = v*f(w) + 2*j(w). Factor b(r).
2*(r - 1)**3*(r + 1)**2
Factor -1/4*s**2 + 5/8*s**3 + 0*s + 0 - 1/2*s**4 + 1/8*s**5.
s**2*(s - 2)*(s - 1)**2/8
Suppose 2*t + 2*t - 2*t = 0. Suppose 0*p - 3/5*p**2 + t = 0. What is p?
0
Let i be 2/10*(32 + -22). Factor -14/9*l**3 + 0 - 2/9*l**5 - 10/9*l**4 + 0*l - 2/3*l**i.
-2*l**2*(l + 1)**2*(l + 3)/9
Let p(u) be the third derivative of u**5/390 + u**4/78 - 7*u**2. Let p(b) = 0. What is b?
-2, 0
Factor 0 - 4/7*z - 8/7*z**3 - 10/7*z**2 - 2/7*z**4.
-2*z*(z + 1)**2*(z + 2)/7
Let v(l) be the second derivative of -l**8/480 - 19*l**7/1260 - l**6/45 + l**5/15 + l**4/6 + l. Let u(a) be the third derivative of v(a). What is z in u(z) = 0?
-2, -1, 2/7
Factor 104*q + 30*q**2 + 190*q**3 - 1 + 7 + 10 + 198*q**2 + 50*q**4.
2*(q + 1)*(q + 2)*(5*q + 2)**2
Determine c so that 2/3*c**2 + 54 - 12*c = 0.
9
Let o be 21/(-45) + 2/3. Let k = 27 - 134/5. Let o*g**3 - 1/5*g + 1/5 - k*g**2 = 0. Calculate g.
-1, 1
Suppose -45 = -20*q + 75. Let s(v) be the second derivative of v + 3*v**4 - 7/10*v**q - 27/20*v**5 + 0 + 2*v**3 + 0*v**2. Find o, given that s(o) = 0.
-2, -2/7, 0, 1
Let q(t) = -t + 1. Let x be q(0). Let r(k) = -3*k**2 + 6*k - 3. Let o(l) = l**2 - l. Let u(b) = x*r(b) + 4*o(b). Factor u(s).
(s - 1)*(s + 3)
Let w(t) be the second derivative of -t**3 + 0 + 1/6*t**4 + 2*t**2 + t. Determine r, given that w(r) = 0.
1, 2
Factor -6*s**4 + 3*s**5 - 2*s**3 + s**3 + 6*s**2 - 2*s**3.
3*s**2*(s - 2)*(s - 1)*(s + 1)
Let l be (-36740)/7350 + 10/2. Let h(d) be the third derivative of -l*d**7 + 0*d**4 + 0 + 0*d + 1/105*d**5 + 0*d**6 - 1/21*d**3 - 4*d**2. Solve h(f) = 0 for f.
-1, 1
Let u be (-2 - -1) + (63 - 59). Suppose t + 0 - 5/2*t**2 - 1/2*t**4 + 2*t**u = 0. What is t?
0, 1, 2
Let k be 2/14 + ((-174)/42 - -4). Factor -12/7*y**4 - 16/7*y**2 - 2/7*y**5 + k*y - 24/7*y**3 + 0.
-2*y**2*(y + 2)**3/7
Suppose 2*l + 14 = 44. Let r be 2 - (1 - l/5). Factor 2/7*s**3 + 2/7*s**r - 2/7*s - 2/7*s**2 + 0.
2*s*(s - 1)*(s + 1)**2/7
Let d(l) = -l**3 + l**2 + l + 2. Suppose 0*f - 2*f = 0. Let v be d(f). Factor -5*u - 2 + 5*u**2 + 0*u - 14*u**2 - u**4 - 5*u**3 - v*u.
-(u + 1)**3*(u + 2)
Let x(b) = 26*b**2 + 4*b - 46. Let k(c) = -5*c**2 - c + 9. Let n(p) = 16*k(p) + 3*x(p). Factor n(r).
-2*(r - 1)*(r + 3)
Let k = 10 - 5. Let i be 0 + k/(-7) + 1. Find d such that 0 + i*d**3 - 2/7*d - 2/7*d**4 + 2/7*d**2 = 0.
-1, 0, 1
Let y = -3/28 - -71/140. Solve 0*k + 2/5 - y*k**2 = 0 for k.
-1, 1
Let n(j) be the second derivative of -2/147*j**7 + 5*j + 1/35*j**6 + 0*j**2 + 1/21*j**3 + 1/70*j**5 - 1/14*j**4 + 0. Determine b, given that n(b) = 0.
-1, 0, 1/2, 1
Solve 6*c**3 - 3*c**2 - 8*c**5 - 9*c**4 + 35*c**5 - 21*c**3 = 0.
-1/3, 0, 1
Let m(u) be the third derivative of 1/3*u**4 - 1/15*u**5 + 2*u**3 + 0*u - 5*u**2 + 0. Factor m(c).
-4*(c - 3)*(c + 1)
Let s(w) be the second derivative of w**5/210 - w**4/84 + w**2/2 + 4*w. Let d(q) be the first derivative of s(q). Solve d(j) = 0 for j.
0, 1
Let z = 25 - 21. Let k(d) be the second derivative of 1/42*d**z - 1/21*d**3 - 1/7*d**2 + d + 0 + 1/70*d**5. Factor k(s).
2*(s - 1)*(s + 1)**2/7
Let w = -6 + 13. Let c(j) = -4*j**2 - 4*j - 4. Let g(o) = -5*o**2 - 5*o - 4. Let f(v) = w*c(v) - 6*g(v). Find b such that f(b) = 0.
-2, 1
Let y(t) = -12*t**3 - 16*t**2 - 6*t - 2. Let c(m) = m**3 + m**2 - m - 1. Let h(u) = 2*c(u) - y(u). Factor h(f).
2*f*(f + 1)*(7*f + 2)
Let q = 4 - 0. Suppose -h = -3*h + q. Determine t, given that t**4 - t**5 - 2*t**4 + t**h + 0*t**4 + t**3 = 0.
-1, 0, 1
Find w, given that -8/7*w**3 - 2/7*w**4 - 4/7*w**2 + 8/7*w + 6/7 = 0.
-3, -1, 1
Factor -1/4*s**5 + 11/4*s + 3/2*s**3 + 3/4 - 1/4*s**4 + 7/2*s**2.
-(s - 3)*(s + 1)**4/4
Let o(x) be the first derivative of x**9/10584 - x**7/2940 + 2*x**3/3 + 3. Let a(i) be the third derivative of o(i). Factor a(k).
2*k**3*(k - 1)*(k + 1)/7
Factor -9*n - 4*n**2 - 6*n**3 + 8*n**3 + 11*n.
2*n*(n - 1)**2
Let g(a) be the first derivative of -6 - 4/3*a**3 - 1/2*a**4 - a**2 + 0*a. Let g(q) = 0. What is q?
-1, 0
Let d(r) be the first derivative of r**4/2 + 4*r**3 - 16. Factor d(x).
2*x**2*(x + 6)
Let l(i) be the third derivative of -i**9/98280 + i**8/43680 + i**7/8190 + i**4/6 + 2*i**2. Let p(a) be the second derivative of l(a). Factor p(j).
-2*j**2*(j - 2)*(j + 1)/13
Let z(w) be the third derivative of w**7/1365 - w**6/780 - w**5/390 + w**4/156 + 36*w**2. Find l, given that z(l) = 0.
-1, 0, 1
Suppose y = -3*y. Factor 0 + 3/4*m**2 + y*m**3 - 1/2*m - 1/4*m**4.
-m*(m - 1)**2*(m + 2)/4
Let c = -9 + 12. Factor 0 + 0*d**4 - 2 + 2*d**4 + 36*d**c - 4*d - 32*d**3.
2*(d - 1)*(d + 1)**3
Let f(r) be the second derivative of -1/150*r**6 + 0*r**2 + 1/100*r**5 + 1/60*r**4 - 4*r - 1/30*r**3 + 0. Factor f(n).
-n*(n - 1)**2*(n + 1)/5
Let y(o) = o**3 - o**2 - 1. Let n(a) = -2*a**4 - 14*a**3 + 2*a**2 + 8*a + 12. Let d(z) = n(z) + 6*y(z). Solve d(g) = 0.
-3, -1, 1
Let h(l) be the third derivative of -l**6/600 - l**5/100 - l**4/60 - 30*l**2. Suppose h(r) = 0. Calculate r.
-2, -1, 0
Let n = 1257 + -1255. Find u such that 2/5 + 0*u - 2/5*u**n = 0.
-1, 1
Let c = -15 + 21. Let x = c + -2. Factor -8*o + 2*o**2 - 4*o**2 - x - 4.
-2*(o + 2)**2
Find h such that 0*h + 0*h**2 - 2/7*h**3 + 0 = 0.
0
What is v in -4/5 + 2/5*v**4 + 2/5*v**2 + 6/5*v**3 - 6/5*v = 0?
-2, -1, 1
Suppose 2 = r, 2*o = 5*r - r + 8. Find s, given that 0 + 0*s + o*s**3 + 5/2*s**5 - 17/2*s**4 - 2*s**2 = 0.
0, 2/5, 1, 2
Factor 7 - 3*d**2 + 0*d**2 - 7.
-3*d**2
Let j(q) = -q**3 + 9*q**2 + q - 7. Let g be j(9). Let f(s) be the first derivative of 1/12*s**4 + g - 1/2*s**2 - 2/3*s + 0*s**3. Factor f(h).
(h - 2)*(h + 1)**2/3
Let f be (4/(-32)*0)/(-1 + -3). Suppose 1/4*w**5 + 1/2*w**2 - 1/2*w**4 + f - 1/4*w + 0*w**3 = 0. Calculate w.
-1, 0, 1
Let t = 251/10 + -49/2. Determine a, given that 0 + t*a**3 + 0*a**2 + 0*a = 0.
0
Let y(t) = 6*t**2 - 6*t - 17. Let d(h) = 21*h**2 - 21*h - 60. Let k(q) = -5*d(q) + 18*y(q). Determine b so that k(b) = 0.
-1, 2
Let i(l) be the second derivative of -l**6/120 + 5*l**4/48 - l**2/2 + 9*l. Solve i(o) = 0 for o.
-2, -1, 1, 2
Suppose 4*j - 2*j = -3*x + 21, 0 = 5*j + 4*x - 42. Let f be (j/12)/(1/12). Factor 13*h + 9*h**3 - 16*h - f + h**2 + 11*h**2.
3*(h + 1)**2*(3*h - 2)
Let q be (-4)/3*((-72)/104)/3. Factor q*a + 2/13*a**3 + 6/13*a**2 + 0.
2*a*(a + 1)*(a + 2)/13
Let c(j) = 2*j**3 + 3*j**2 - 6*j + 4. Let q(u) = -u**3 - 3*u**2 + 5*u - 3. Let x(f) = -2*c(f) - 3*q(f). Find n such that x(n) = 0.
1
Let p(n) be the first derivative of 5/8*n**