6 - 7*k**2 + 0 + 1/210*k**5. What is w in q(w) = 0?
-1, 0
Factor -12/7*j**2 - 1/7*j**5 + 4/7*j**4 - 9/7*j + 0 + 2/7*j**3.
-j*(j - 3)**2*(j + 1)**2/7
Factor -144*l**2 + 1058 + 48*l**2 - 280*l - 157*l - l**3 + 38*l**2 + 14*l**2.
-(l - 2)*(l + 23)**2
Solve -342*h**3 - 133*h**2 + 337*h**3 + 43*h**2 = 0 for h.
-18, 0
Let p(c) be the first derivative of -1/2*c**3 + 17 + 0*c + 0*c**2. Factor p(k).
-3*k**2/2
Let d(m) be the third derivative of 0 - 1/80*m**6 + 1/16*m**4 - 8*m**2 + 0*m**3 + 0*m + 1/420*m**7 - 1/120*m**5. Let d(j) = 0. What is j?
-1, 0, 1, 3
Factor 14 + 93*k + 18*k**2 - 23*k**2 - 288*k - 384.
-5*(k + 2)*(k + 37)
Factor 4/7*a**3 - 8/7 - 4/7*a + 8/7*a**2.
4*(a - 1)*(a + 1)*(a + 2)/7
Suppose -2*a - 5*x - 21 = 0, -30 = -5*a - 0*x + 4*x. Find f such that 2*f**3 + 2 - a*f**3 + 4*f**2 - 76*f + f**3 + 81*f = 0.
-2, -1
Let -2*g**2 - 5*g**4 - 8910*g**3 + 8901*g**3 - 2*g**4 = 0. What is g?
-1, -2/7, 0
Let k(n) be the first derivative of 2/3*n**3 + 2/3*n - 1/6*n**4 - 12 - n**2. What is y in k(y) = 0?
1
Suppose -2*g = -v, g + 2*v = -v + 14. Factor -2/7*b**g + 4/7*b - 2/7.
-2*(b - 1)**2/7
Let t be (1 + 1)/((-4)/(-6)). Let b be -10*5/((-50)/(-4)) + 6. Find f, given that -10*f**t + 2*f + 3*f**2 + 13*f**3 - 9*f**b + f = 0.
0, 1
Let d(w) be the second derivative of w**5/30 - 5*w**4/9 + 16*w**3/9 - 122*w. Factor d(f).
2*f*(f - 8)*(f - 2)/3
Let s(f) be the third derivative of -1/24*f**4 + 0*f + 1/30*f**5 + 3*f**2 + 0*f**3 + 0*f**6 + 1/336*f**8 + 0 - 1/105*f**7. Find w such that s(w) = 0.
-1, 0, 1
Suppose -36 = 12*n - 12. Let w = 1 - n. Suppose -7/5*g**2 - 2/5*g**w - 8/5*g - 3/5 = 0. What is g?
-3/2, -1
Suppose u = 2*y + 2*y + 10, -4*u + 4 = -4*y. Let r be (1 + (-10)/4)*u. Factor -4*o - 4*o**3 - 10*o**2 - 7*o**r + 3*o**3 - 2*o**4.
-2*o*(o + 1)**2*(o + 2)
Let y(l) = -l**2 + 101*l - 110. Let s(u) = -u**2 + 51*u - 56. Let c(g) = 10*s(g) - 6*y(g). Find x, given that c(x) = 0.
-25, 1
Let o(p) be the first derivative of 5*p**3/12 - 7*p**2/4 + 2*p + 42. Factor o(b).
(b - 2)*(5*b - 4)/4
Let o = -154 + 2928/19. Let w = o - -28/95. Solve 2/15*q**3 - 8/15*q**2 + 0 + w*q = 0 for q.
0, 1, 3
Let g(k) = 9*k**4 - 50*k**3 + 116*k**2 + 46*k - 129. Let s(j) = j**4 - j**2 - j - 1. Let l(b) = g(b) - 4*s(b). Factor l(i).
5*(i - 5)**2*(i - 1)*(i + 1)
Let d(r) = -5*r**2 + 12*r + 40. Let w(u) = 2*u**2 - 1. Let b(c) = d(c) + 3*w(c). Let h be b(-5). Factor 2/5*p**5 + 0*p - 2/5*p**4 + 2/5*p**h - 2/5*p**3 + 0.
2*p**2*(p - 1)**2*(p + 1)/5
Factor 112*d**2 - 44*d**2 + 1221*d + 1860 + 318 + d**3.
(d + 2)*(d + 33)**2
Let f(u) be the first derivative of 1/22*u**4 + 8 + 5/11*u**2 - 8/33*u**3 - 4/11*u. Factor f(b).
2*(b - 2)*(b - 1)**2/11
Let a(z) be the first derivative of -5*z**4/4 - 50*z**3 + 160*z**2 - 486. Suppose a(r) = 0. Calculate r.
-32, 0, 2
Let d(i) be the second derivative of -i**7/168 - i**6/72 + i**5/12 - 25*i**3/6 + 17*i. Let g(u) be the second derivative of d(u). Factor g(a).
-5*a*(a - 1)*(a + 2)
Let z(g) be the second derivative of -g**4/42 - 2*g**3/7 + g**2 + 137*g + 2. Let z(h) = 0. What is h?
-7, 1
Let g(c) be the third derivative of c**7/70 - 27*c**6/40 - 87*c**5/20 - 89*c**4/8 - 15*c**3 - 39*c**2 + 2. Find b such that g(b) = 0.
-1, 30
Let n(o) be the second derivative of -o**4/6 - 94*o**3 - 19881*o**2 + 942*o. Let n(l) = 0. Calculate l.
-141
Let j(l) be the second derivative of -l**7/1260 - l**6/108 + 2*l**5/45 + l**4/3 + 37*l**3/6 + 37*l. Let g(z) be the second derivative of j(z). Factor g(k).
-2*(k - 2)*(k + 1)*(k + 6)/3
Suppose 2/17*f**4 + 84/17*f - 84/17*f**3 - 88/17*f**2 + 86/17 = 0. What is f?
-1, 1, 43
Let w be (-2)/4 - 45/(-6). Suppose -3 = -w*b + 6*b. Solve -4*t + 6*t**b + 3*t**4 - 12*t + 10*t - 3*t**2 = 0.
-2, -1, 0, 1
Let g = 1109/7 - 149714/945. Let u(d) be the third derivative of 0 + 1/270*d**5 + 2*d**2 - 1/540*d**6 + 0*d + 0*d**3 - g*d**7 + 1/108*d**4. Factor u(i).
-2*i*(i - 1)*(i + 1)**2/9
Let k(w) = 31*w**2 + 30*w + 9. Let n(c) = -c**2 + 1. Let a(i) = -k(i) - 6*n(i). Let p(l) = l**3 - 26*l**2 - 31*l - 16. Let q(j) = 6*a(j) - 5*p(j). Factor q(g).
-5*(g + 1)**2*(g + 2)
Let v(l) be the second derivative of -l**6/10 + 3*l**5/5 - l**4/2 - 2*l**3 + 9*l**2/2 + l + 76. Determine g, given that v(g) = 0.
-1, 1, 3
Let i(w) be the first derivative of 33/5*w**2 - 4 - 24/5*w**3 + 3/2*w**4 - 21/5*w - 3/25*w**5. Determine z, given that i(z) = 0.
1, 7
Let i = 3653/756 - -79/189. Find n such that -1/2 - i*n**3 + 21/4*n + 1/2*n**2 = 0.
-1, 2/21, 1
Let 200 + 151 + 5*t**4 - 900*t + 198 + 590*t**2 - 68 - 76 - 100*t**3 = 0. What is t?
1, 9
Suppose 6063*h**3 - h**4 - h**5 - 6071*h**3 + 12*h**2 + 2*h**5 = 0. What is h?
-3, 0, 2
Solve 4/5*s**3 - 16/3*s**2 + 0 + 2/15*s**5 + 10/3*s + 16/15*s**4 = 0 for s.
-5, 0, 1
Let g(k) be the second derivative of 27*k**5/70 + 3*k**4/7 + 4*k**3/21 - 7*k**2/2 - 21*k. Let b(i) be the first derivative of g(i). Factor b(y).
2*(9*y + 2)**2/7
Let w(f) = f**3 - f**2 - f - 4. Let o be w(3). Suppose -2*k = -3*v - k + 5, -k = 5*v - o. What is u in 11*u**2 - 14*u**v + 14*u - 6 - 5*u = 0?
1, 2
Let a(j) be the first derivative of -j**5/4 - 25*j**4/12 - 35*j**3/6 - 15*j**2/2 - 8*j - 41. Let g(o) be the first derivative of a(o). Factor g(c).
-5*(c + 1)**2*(c + 3)
Suppose 2 = -4*l + 2*l. Let b = l + 14. Factor -8*q - b - 3*q**2 + 20*q + 6 - 5.
-3*(q - 2)**2
Let z(p) be the third derivative of -p**8/336 + p**7/105 + p**6/40 - p**5/15 - p**4/6 + 314*p**2. Factor z(o).
-o*(o - 2)**2*(o + 1)**2
Let n(f) be the third derivative of 0 - 35*f**2 - 1/150*f**5 + 3/100*f**6 + 0*f**3 - 11/525*f**7 + 1/210*f**8 - 1/60*f**4 + 0*f. Factor n(l).
2*l*(l - 1)**3*(4*l + 1)/5
Factor 1/3*o - 1/3*o**2 + 10.
-(o - 6)*(o + 5)/3
Let z(r) be the first derivative of r**4 - 268*r**3 + 19998*r**2 + 40804*r - 347. Factor z(m).
4*(m - 101)**2*(m + 1)
Suppose 3*b - 4*g = -2, -8*b - g = -7*b - 4. Let -8/3*r - 8/3*r**b - 2/3*r**3 + 0 = 0. What is r?
-2, 0
Let n = 252 + -291. Let x = 43 + n. Determine z, given that 4/3*z**x + 16/3*z**3 - 8/3*z**2 + 12 - 16*z = 0.
-3, 1
Let u = 32 + 2. Let r = u - 32. Determine w so that -w**3 + 3*w**2 + 4 + 5*w**2 - r*w - w**3 - 8*w = 0.
1, 2
Let l(z) = -4*z - 8. Let i be l(-2). Let p(v) be the first derivative of 6 - 1/3*v**3 + i*v**2 + v. Let p(t) = 0. What is t?
-1, 1
Let j(p) be the third derivative of 1/6*p**6 + 0 - 19*p**2 + 0*p - 5/12*p**5 + 5/24*p**4 + 0*p**3. Factor j(k).
5*k*(k - 1)*(4*k - 1)
Let m(l) be the first derivative of l**8/560 - l**7/280 - l**6/20 - 7*l**3/3 - 2. Let f(q) be the third derivative of m(q). Find i, given that f(i) = 0.
-2, 0, 3
Let w(k) = 8*k**3 + 45*k**2 + 123*k + 83. Suppose 79 - 71 = c. Let h(s) = 23*s**3 + 135*s**2 + 368*s + 248. Let b(p) = c*w(p) - 3*h(p). Factor b(n).
-5*(n + 1)*(n + 4)**2
Let h(d) be the third derivative of -3/20*d**6 + 7/30*d**5 + 0*d + 1/21*d**7 - 1/6*d**4 + 0*d**3 - 1/168*d**8 - 5*d**2 + 0. Determine j so that h(j) = 0.
0, 1, 2
Suppose -c = -5*o + 68, 0*o - 5*o + 2*c + 71 = 0. Factor 3*z**2 - 7*z + 2*z**2 - o*z**2 + 7*z**2.
-z*(z + 7)
Let d = 36 - 29. Suppose -3*f + 6 = -3*c, d*c - 2*c = 0. Suppose 1/2 - 1/4*n**f - 1/4*n = 0. Calculate n.
-2, 1
Factor -5245*t**2 + 0 - 18*t - 4 + 5247*t**2 - 16.
2*(t - 10)*(t + 1)
Let n(f) = 16*f - 16. Let l(u) be the second derivative of -u**4/12 + 49*u**3/6 - 24*u**2 + 10*u. Let h(q) = 4*l(q) - 11*n(q). Factor h(m).
-4*(m - 4)*(m - 1)
Let s(y) be the third derivative of -1/150*y**5 + 0*y + 0 + 1/6*y**4 - 3/5*y**3 + 26*y**2. Factor s(g).
-2*(g - 9)*(g - 1)/5
Let v = 3096/5 + -3092/5. Factor 2/5*g**3 + 0*g**2 - v - 6/5*g.
2*(g - 2)*(g + 1)**2/5
Let j(k) = 19*k**2 + 13*k. Let r(a) = a**2 - a + 1. Let q(c) = 15*c**2 + c + 5. Let f(n) = q(n) - 5*r(n). Let d(g) = 11*f(g) - 6*j(g). Factor d(u).
-4*u*(u + 3)
Suppose -133*q = -152*q + 38. Factor 3/4*v**5 + 6*v - 15/4*v**3 - 3/4*v**4 + 3 + 3/4*v**q.
3*(v - 2)**2*(v + 1)**3/4
Let j(o) = -5*o - 21. Let w be j(-6). Suppose -w = 11*z - 14*z. Find h, given that 0 + 0*h + 2/3*h**z + 1/3*h**2 + 1/3*h**4 = 0.
-1, 0
Let k = -50551 + 50556. Let p be 2/(-3) - (-22)/6. Factor 8/11*b**4 + 2/11*b**k + 4/11*b**2 + 0*b + 10/11*b**p + 0.
2*b**2*(b + 1)**2*(b + 2)/11
Let 47/2*h + 1/2*h**2 - 49 = 0. Calculate h.
-49, 2
Let q be (-4)/16 - (-150)/24. Let j(m) be the third derivative of 0*m + 1/75*m**5 + 0 + 3*m**2 + 0*m**3 - 1/120*m**4 - 1/200*m*