40 - v**6/30 - 2*v**5/15 - v**4/4 + 8*v**3/3 - 11*v**2. Let u(q) be the first derivative of t(q). Factor u(l).
2*(l - 3)*(l + 1)**3
Factor 74/3*a**3 + 968/3*a - 12*a**4 + 0 + 2/3*a**5 + 264*a**2.
2*a*(a - 11)**2*(a + 2)**2/3
Factor -107 + 289 - 98 - 18*z - 8*z + 2*z**2.
2*(z - 7)*(z - 6)
Find x such that -1/5*x**3 + 0 + 6/5*x**2 + 7/5*x = 0.
-1, 0, 7
Determine v, given that 5/2*v**2 + 1/6*v**4 - 7/6*v - 3/2*v**3 + 0 = 0.
0, 1, 7
Suppose -3*n = -x - 2*n + 50, 4*x = -n + 200. Let u(q) = 19*q + 136. Let c be u(-6). Factor c*h + 4*h**2 + 24*h - x*h.
4*h*(h - 1)
Let c(u) be the first derivative of 1/18*u**4 - 5/9*u**3 - 3 + u**2 + 1/30*u**5 + 2*u. Let m(h) be the first derivative of c(h). Find q such that m(q) = 0.
-3, 1
Let z(u) = -u**3 - 9*u**2 + 9*u - 5. Let k be z(-10). Suppose -g + 1 = 4*w, 0 = w - k*w. Factor -9 - 3*v**2 - v + v**2 + 9*v + g.
-2*(v - 2)**2
Let z(h) be the third derivative of h**8/168 + h**7/35 + h**6/30 - 182*h**2. Let z(u) = 0. What is u?
-2, -1, 0
Let n(q) = -q**3 + 21*q**2 + 16*q. Let f(z) = 20*z**2 + 15*z. Let i(r) = -6*f(r) + 5*n(r). Suppose i(s) = 0. Calculate s.
-2, -1, 0
Let v = 12 + -7. Factor 3*b**2 - 10*b + 4*b**2 + 8*b**2 - v*b**3.
-5*b*(b - 2)*(b - 1)
Let c be ((-64)/60)/1 + 10/5. Let r = c + -8/15. Determine q so that 0 - 1/5*q**3 + 0*q + r*q**2 - 3/5*q**4 = 0.
-1, 0, 2/3
Find g such that 9/5 - 3/5*g - 6/5*g**2 = 0.
-3/2, 1
Let h = -288 + 290. Determine t so that 50/11 + 2/11*t**h - 20/11*t = 0.
5
Let n(o) = 60*o**4 - 3*o**3 + 4*o**3 - 61*o**4 - o - 2*o**3 + 1. Let v(a) = -5*a**5 - 5*a**3 - 5*a + 5. Let r(p) = -5*n(p) + v(p). Factor r(b).
-5*b**4*(b - 1)
Let r(t) = 3*t**2 + 11*t + 12. Let f be r(-2). Let y(l) be the second derivative of 0*l**f - 1/21*l**3 - 1/42*l**4 + 0 - 2*l. What is z in y(z) = 0?
-1, 0
Let m(g) be the first derivative of -g**5/40 + 3*g**4/8 - 5*g**3/12 - 3*g**2/4 + 11*g/8 + 471. Solve m(t) = 0.
-1, 1, 11
Let i(q) be the second derivative of -5*q**7/28 + 5*q**6/6 + 15*q**5/4 - 25*q**4/6 - 45*q**3/4 + 25*q**2/2 + 37*q + 1. What is g in i(g) = 0?
-2, -1, 1/3, 1, 5
Let h be 1 + (-3)/((-6)/4). Suppose -1 - h = -2*z. Factor -2*k - 4*k**2 - 4 + z*k - k + 9*k.
-4*(k - 1)**2
Let p(z) = -6*z**3 + 12*z**2 + 38*z + 24. Let s(v) = v**3 + v**2 - 1. Let r(t) = -p(t) - 4*s(t). Suppose r(x) = 0. What is x?
-1, 10
Let n = 15 - 43. Let w be n/(-48) + (-3)/(-18). Suppose -w*j**3 + 3/2*j**2 + 0*j + 0 = 0. Calculate j.
0, 2
Let b(j) be the second derivative of j**6/1080 + j**5/90 - 11*j**3/6 - 21*j. Let q(c) be the second derivative of b(c). Factor q(i).
i*(i + 4)/3
Let 0 + 14/3*f**3 + 4*f - 46/3*f**2 = 0. What is f?
0, 2/7, 3
Let n(t) be the second derivative of -t**8/16800 + t**7/6300 - t**4/3 + 15*t. Let p(h) be the third derivative of n(h). What is i in p(i) = 0?
0, 1
Let x(p) be the third derivative of -p**7/210 + p**6/15 - 4*p**5/15 - 107*p**2. Suppose x(u) = 0. Calculate u.
0, 4
Let y = -2/2585 + 20714/43945. Factor -2/17 - 12/17*r**2 - 2/17*r**4 + 8/17*r + y*r**3.
-2*(r - 1)**4/17
Let u = -58/5 + 12. Suppose 2*q + 0*f - 9 = -f, -2*f = -3*q - 4. Determine k so that -4/5*k + u*k**q + 0 = 0.
0, 2
Let t(d) be the third derivative of -5*d**8/168 - 16*d**7/21 - 385*d**6/48 - 1075*d**5/24 - 6875*d**4/48 - 3125*d**3/12 - d**2 + 212. Solve t(w) = 0 for w.
-5, -5/2, -1
Let n(t) = -t**2 + 1. Let j(d) = -8*d**2 - 56*d - 192. Let g be -3*3/9*1 + 0. Let v(f) = g*j(f) + 4*n(f). Solve v(z) = 0.
-7
Let v(r) = r**3 - 3*r**2 + 3*r + 1. Let p(g) = -230*g**3 - 755*g**2 - 310*g - 35. Let o(n) = -p(n) - 5*v(n). Factor o(w).
5*(w + 3)*(5*w + 1)*(9*w + 2)
Let o be 315/(-1400)*2/(-6). Let k(v) be the third derivative of 0 + 1/20*v**5 + 0*v**4 + 0*v + 1/112*v**8 + 3/70*v**7 + 5*v**2 + 0*v**3 + o*v**6. Factor k(p).
3*p**2*(p + 1)**3
Let h(i) = 6*i**2 + 23*i + 5. Let x be h(-4). Let k be (-5 - 58/(-12))/((-1)/x). Factor -9/2 - 3*z + k*z**2.
3*(z - 3)*(z + 1)/2
Let w(c) = 2*c - 11. Let m be w(6). Let j(r) = -r. Let k(o) = 4*o**2 - 16*o - 8. Let a(u) = m*k(u) - 20*j(u). Factor a(d).
4*(d - 1)*(d + 2)
Let c(u) = u**3 - 7*u**2 + 3*u - 21. Let o be c(7). Let x(b) be the third derivative of 0*b + 0*b**3 + 7*b**2 + 0*b**5 + o + 1/40*b**6 - 1/8*b**4. Factor x(m).
3*m*(m - 1)*(m + 1)
Let b = -1 + 5. Factor -36*o**4 - 3*o**5 + 13*o**4 + 14*o**b + 6*o**4.
-3*o**4*(o + 1)
Factor 2/3*t**4 + 4/3*t**3 + 2 - 8/3*t**2 - 4/3*t.
2*(t - 1)**2*(t + 1)*(t + 3)/3
Let r(y) = -y - 11. Let d be r(-8). Let c be (-21)/(-9) + (-2)/d. Factor -x**c - 3*x**2 + 2*x**2 + 5*x**2 - 9*x**3 - 14*x**4.
-2*x**2*(x + 1)*(7*x - 2)
Let b(p) be the third derivative of 1/2*p**5 - 5/8*p**4 + 5*p**2 + 0*p + 1/14*p**7 + 1/2*p**3 - 1/112*p**8 + 0 - 1/4*p**6. Factor b(m).
-3*(m - 1)**5
Suppose 13*i**2 - 60*i + 5*i**4 - 200*i**3 - 2 + 7*i**2 + 235*i**3 + 2 = 0. Calculate i.
-6, -2, 0, 1
Factor -179*a + 98*a - 3*a**2 + 93*a - 9.
-3*(a - 3)*(a - 1)
Let x = -83/92 - -53/46. Solve -3/4 + c**2 + x*c = 0.
-1, 3/4
Let u = -115 - -119. Let t(d) be the second derivative of -u*d + 0*d**2 - 1/66*d**4 + 0 + 0*d**3. Factor t(x).
-2*x**2/11
Let a(p) be the second derivative of -p**5/60 - p**4/24 - p**2 + 13*p. Let f(s) be the first derivative of a(s). Let f(k) = 0. What is k?
-1, 0
Determine r so that 28*r**5 - 90*r + 32 - 12*r**4 + 12*r**3 + 4 - 9*r**5 - 21*r**5 + 56*r**2 = 0.
-6, -3, 1
Determine p so that -3*p**2 + 7/4*p**3 + 1/2 + 3/4*p = 0.
-2/7, 1
Suppose -106*d + 29 + 395 = 0. Factor 0*v**2 + 0 + 0*v + 1/7*v**d - 1/7*v**5 + 2/7*v**3.
-v**3*(v - 2)*(v + 1)/7
Factor -j**4 - 3*j**3 + 0*j**3 - 3*j**3 - 15*j**2 - 10*j**3.
-j**2*(j + 1)*(j + 15)
Let f = 80 - 76. Let b(h) = -6*h**3 + 5*h**2 + 3*h. Let y(i) = 17*i**3 - 14*i**2 - 9*i. Let u(x) = f*y(x) + 11*b(x). Let u(n) = 0. What is n?
-1, 0, 3/2
Let m(d) be the first derivative of 4*d**3/9 - 137*d**2/6 + 34*d/3 + 122. Suppose m(q) = 0. Calculate q.
1/4, 34
Let d(y) be the second derivative of 4/33*y**4 + 0 - 2/165*y**6 + 2/11*y**2 + 2*y + 1/55*y**5 - 1/231*y**7 + 7/33*y**3. Factor d(b).
-2*(b - 2)*(b + 1)**4/11
Let m(z) be the first derivative of -z**7/1680 - z**6/480 + z**5/60 - 12*z**2 - 31. Let r(w) be the second derivative of m(w). Factor r(h).
-h**2*(h - 2)*(h + 4)/8
Let u(v) = -2*v + 8. Let h be u(2). Suppose h*n = n. Solve n - o + 1/3*o**2 = 0.
0, 3
Let w be 140/(-99)*45/(-10). Solve 2/11*g**3 + w*g + 50/11 + 2*g**2 = 0.
-5, -1
Let l(j) = j**2 - j + 144. Let c be l(0). Let r be ((-6)/(-8) - 0)/(378/c). Solve r*s**2 + 0*s + 0 - 2/7*s**3 = 0.
0, 1
Let u(n) = n - 11. Let x be u(13). Suppose 4*c = 2*h + 16, 5*c = x*h + 3*h + 15. Factor -42*z - 37*z + 75*z - 4*z**h.
-4*z*(z + 1)
Let u = 211 + -207. Let d(g) be the second derivative of 6*g + 0*g**3 - 1/24*g**u + 0*g**2 - 1/60*g**6 + 0 - 1/20*g**5. Factor d(o).
-o**2*(o + 1)**2/2
Let y(p) be the first derivative of p**4/3 - 32*p**3/9 + 26*p**2/3 - 8*p - 730. Factor y(m).
4*(m - 6)*(m - 1)**2/3
Suppose 137*d = 117*d + 200. Suppose o - 7 = 5*o + 3*w, 5*w + 33 = 4*o. Suppose -75*b**3 + 62*b**2 - 10*b**2 - 2*b**2 + d*b + 15*b**o = 0. What is b?
-2/15, 0, 1
Let p(f) = -f**3 + 2 + f**2 + 1 - 4 + f. Let c(m) = 5*m**3 - 7*m**2 - 6*m + 6. Let s be 25/(-4) + (-2)/(-8). Let y(q) = s*p(q) - c(q). Factor y(w).
w**2*(w + 1)
Let h(m) be the third derivative of -3*m**5/20 - m**3/6 + 2*m**2. Let a(t) = -28*t**2 - 4. Let o(b) = -5*a(b) + 16*h(b). What is p in o(p) = 0?
-1, 1
Let w = -3493/95 + 710/19. Find x, given that -2/5 + w*x + 12/5*x**2 + 7/5*x**3 = 0.
-1, 2/7
Let f(l) be the third derivative of 0*l**3 - 1/168*l**7 - 5/32*l**6 + 0*l + 17*l**2 + 0 - 25/16*l**5 - 625/96*l**4. Suppose f(q) = 0. What is q?
-5, 0
Suppose -v = 94 + 121. Let a = -640/3 - v. What is s in 0*s - a*s**2 + 5/3 = 0?
-1, 1
Let h = 55817/15 + -3721. Factor 8/15 - 2/3*o + h*o**2.
2*(o - 4)*(o - 1)/15
Find j, given that -1/2*j**3 - 51 + 1/2*j + 51*j**2 = 0.
-1, 1, 102
Let c be 212 + (-4)/1 + -1. Find a such that -231*a + 32*a**2 + 34*a**3 + c*a - 10*a**3 - 36 + 4*a**4 = 0.
-3, -1, 1
Let p be (-18)/40*(-1280)/480. Suppose 16/5*d + 6/5 - p*d**2 = 0. What is d?
-1/3, 3
Let x(v) be the first derivative of -v**6/30 + 2*v**5/5 - 6*v**4/5 - 2*v**3/3 + 5*v**2/2 + 54. Suppose x(l) = 0. What is l?
-1, 0, 1, 5
Suppose 0 = 4*t - 13 + 5. Factor 10*q**2 + 2*q**3 + 3*q**3 - 19*q**t - 26*q**2.
5*q**2*(q - 7)
Let t(h) be the third derivative of -1/4*h**4