3*a - 4*n, -7*a - 3*n - 22 = 0. Factor 12*i - 21/2 - 3/2*i**a.
-3*(i - 7)*(i - 1)/2
Suppose -4*g**5 + 30*g - 56*g**2 + 24*g**3 + 8*g**4 + 65*g**3 - 152*g - 25*g**3 - 144 - 130*g = 0. What is g?
-3, -1, 3, 4
Let b be -5 + 9 + 6/(-9)*-3. Let m(o) = 14*o**3 + 10*o**2 - 8*o - 10. Let q(j) = 2*j**3 + j**2 - j - 1. Let z(y) = b*q(y) - m(y). Factor z(p).
-2*(p - 1)*(p + 1)*(p + 2)
Let d be (0 + (-50)/(-35))*-7. Let g be (348/(-580))/(3/d). Suppose 1/6*y**4 + 4/3 - 2/3*y + 1/6*y**3 - y**g = 0. What is y?
-2, 1, 2
Let o(s) be the first derivative of -5*s**3/3 - 110*s**2 - 2420*s + 1172. Find c such that o(c) = 0.
-22
Let j(y) be the second derivative of -y**6/6 + 12*y**5/5 - 25*y**4/3 - 8*y**3 - 64*y - 2. Let j(n) = 0. What is n?
-2/5, 0, 4, 6
Let b(m) = m**3 + 35*m**2 - 73*m + 40. Let k be b(-37). Let p be ((-8)/k)/(6/(-12)) + -5. Find r, given that p*r + 0 - 4/9*r**2 + 1/9*r**3 = 0.
0, 1, 3
Let w = 122 - 122. Suppose w = -0*q - 2*q + 3*q. Factor 1/5*f**2 + q + 0*f.
f**2/5
Let k(f) be the first derivative of -1/30*f**6 + 3/5*f + 22/15*f**3 + 7/25*f**5 + 9 - 9/10*f**4 - 13/10*f**2. Suppose k(u) = 0. What is u?
1, 3
Let w(a) be the first derivative of -a**4/14 - 18*a**3/7 + 57*a**2/7 - 58*a/7 + 1613. Find t such that w(t) = 0.
-29, 1
Let k(w) be the second derivative of -w**6/120 + 23*w**5/360 + w**4/6 + 97*w**3/2 - 111*w. Let s(m) be the second derivative of k(m). Let s(f) = 0. Calculate f.
-4/9, 3
Let -3/5*a**4 - 36963/5*a**2 + 0*a + 666/5*a**3 + 0 = 0. What is a?
0, 111
Let i(y) be the first derivative of y**6/6 - 5*y**4/12 + 90*y + 1. Let g(n) be the first derivative of i(n). Factor g(v).
5*v**2*(v - 1)*(v + 1)
Let u(r) = 3*r**3 + 2*r**2 + r + 1. Let s(k) = -13*k**3 + 2023*k**2 - 1374991*k + 310288729. Let n(c) = -s(c) - 4*u(c). Factor n(g).
(g - 677)**3
Suppose 88*i - 324*i - 98*i**4 + 148*i - 1134*i**3 - 624*i**2 = 0. What is i?
-11, -2/7, 0
Let a = 401251/20 - 80115/4. Factor -8/5 - a*o**3 - 78*o**2 - 108/5*o.
-(o + 2)*(13*o + 2)**2/5
Suppose -786*z = 817*z - 3206. Suppose -1058/5 - 2/5*a**z - 92/5*a = 0. Calculate a.
-23
Let q be (28/77 - (-400)/110)*(-3)/(-6). Find f such that -1/3*f + 0 + 1/2*f**q + 1/6*f**5 - 1/2*f**4 + 1/6*f**3 = 0.
-1, 0, 1, 2
Let s(z) be the first derivative of z**5/4 + 65*z**4/24 + 25*z**3/3 + 175*z**2/2 + 184. Let q(v) be the second derivative of s(v). Suppose q(m) = 0. What is m?
-10/3, -1
Let a(r) be the third derivative of -r**6/75 - 28*r**5/25 - 11*r**4/4 - 41*r**3/15 + 2662*r**2. Factor a(f).
-2*(f + 41)*(2*f + 1)**2/5
Let w(d) = 6*d**4 + 2*d**3 - 6*d + 15. Let v(q) = -7*q**4 - 2*q**3 - q**2 + 6*q - 18. Let x(k) = -5*v(k) - 6*w(k). Factor x(y).
-y*(y - 2)*(y + 1)*(y + 3)
Factor 1/4*h**3 - 143/2*h**2 + 5183*h - 10082.
(h - 142)**2*(h - 2)/4
Let s be 22/152 - 4*(11 + 9218/(-836)). Solve 3*u**2 + 0 - s*u**4 + 0*u**3 - 4*u = 0 for u.
-4, 0, 2
Suppose -4*o = -2*o - 8. Let a be 2/10 - (o + (-209)/55). Solve 8/5*q - 1/5*q**4 + a + 4/5*q**2 - 6/5*q**3 + 1/5*q**5 = 0 for q.
-2, -1, 0, 2
Let m be -30*(-22)/429 - -11*(-60)/(-1430). Factor -1/3*o**5 + 19/3 - 2/3*o**m + 38/3*o**3 - 37/3*o - 17/3*o**4.
-(o - 1)**3*(o + 1)*(o + 19)/3
Let i(u) = -u**3 - 15*u**2 + 491*u + 4381. Let y be i(-8). Find p such that 136/9*p - 316/9*p**2 - 16/9 + 94/9*p**3 - 32/9*p**y + 80/9*p**4 = 0.
-2, 1/4, 2
Let l(c) = -4*c + 30. Suppose -5 = -18*m + 19*m. Let v be l(m). Factor -5*b**2 - v - 20*b + 50 + 5*b.
-5*b*(b + 3)
Let f = 156924 - 156896. Factor 0 - 16/3*r**4 + f*r**3 + 0*r - 20/3*r**2.
-4*r**2*(r - 5)*(4*r - 1)/3
Solve 79*m - 9*m**2 + 66*m + 25*m - 190*m - 4 = 0 for m.
-2, -2/9
Solve -158/7*h**2 + 6*h - 134/7*h**3 + 60/7*h**5 + 22*h**4 + 36/7 = 0.
-3, -2/3, -1/2, 3/5, 1
Let m = -2644 - -2644. Let g(o) be the second derivative of -22/3*o**3 - 4*o**2 + 12*o + m + 13/3*o**4. Determine l, given that g(l) = 0.
-2/13, 1
Let l(u) be the third derivative of -6*u**3 - 57*u**2 + 0*u + 0 + 9/4*u**4 + 1/15*u**5 - 1/20*u**6. Factor l(d).
-2*(d - 3)*(d + 3)*(3*d - 2)
Let r(p) = -2*p**4 - 24*p**3 - 26*p**2 + 44*p + 52. Let l(q) = q**4 + 3*q**3 + q**2 + q + 1. Let h(u) = 4*l(u) + r(u). Find c such that h(c) = 0.
-2, -1, 2, 7
Let c(n) = -n**3 + n**2 + 4*n - 1. Let p = -614 + 610. Let k(l) = 2*l**3 - 28*l**2 - 38*l + 4. Let o(x) = p*c(x) - k(x). Determine f, given that o(f) = 0.
-11, -1, 0
Determine s, given that 988/7 - 2/7*s**2 - 986/7*s = 0.
-494, 1
Suppose 1264 = 23*d - 392. Factor -128*j - 192*j**2 - 4*j**4 - 7*j - 60 + 53*j - 102*j - d*j**3.
-4*(j + 1)**3*(j + 15)
Let r(b) be the third derivative of -b**6/60 - 67*b**5/60 + 35*b**4/24 + 17*b**3/3 + 2648*b**2. Factor r(i).
-(i - 1)*(i + 34)*(2*i + 1)
Let s = -40 - -46. Let q(p) be the first derivative of -s*p**3 + 40 + 7*p**3 - 182*p**2 + 3*p + 179*p**2. Factor q(v).
3*(v - 1)**2
Let o be (3/255)/(6/135). Let q = -1/34 + o. Determine j so that -18/17*j**2 + 22/17*j - q = 0.
2/9, 1
Let z(g) be the first derivative of -289*g**4 - 748*g**3 + 135*g**2/2 - 2*g + 3140. Let z(k) = 0. Calculate k.
-2, 1/34
Let v(w) = w**3 - 6*w**2 - 5*w + 52. Let j be v(5). Factor -7*n**2 - 5*n**3 + 0*n**2 + 3*n + 3*n + 0*n**j.
-n*(n + 2)*(5*n - 3)
Let g(u) = u**2 - 14*u - 52. Let n be g(16). Let t be ((-28)/(-56))/((-2)/n). Factor 2*k**5 - 3*k**5 + 8*k**2 + 3*k**t + 4*k**4 + 12*k**3 + 2*k + 4*k**4.
2*k*(k + 1)**4
Factor -404434*v**3 - 72860*v + 136119*v**3 - 221330*v**3 + 3645*v**4 - 5400 - 327510*v**2.
5*(v - 135)*(9*v + 2)**3
Factor -150/13*v + 36/13 - 14/13*v**3 + 88/13*v**2.
-2*(v - 3)**2*(7*v - 2)/13
Let x = 9 + -4. Let q(n) = 2*n**2 - 2*n + 8. Let w(h) = 3*h**2 - h + 10. Let u(d) = x*q(d) - 4*w(d). Determine b, given that u(b) = 0.
-3, 0
Let d(o) be the second derivative of 1/63*o**7 + 0*o**6 + 9 + 0*o**3 - 7/30*o**5 + 2*o - 1/3*o**4 + 0*o**2. Determine q, given that d(q) = 0.
-2, -1, 0, 3
Let y(w) = w**2 + 4629*w - 2. Let a(r) = 3*r**2 + 2*r - 1. Let z(o) = 2*a(o) - y(o). Find g, given that z(g) = 0.
0, 925
Factor 189 + 1325/2*w + 476*w**2 + 5/2*w**3.
(w + 1)*(w + 189)*(5*w + 2)/2
Let w(s) be the first derivative of -s**5/5 + 58*s**4 - 461*s**3/3 + 115*s**2 + 1543. Factor w(h).
-h*(h - 230)*(h - 1)**2
Let a = 1336/17 - 19904/255. Let i(q) be the first derivative of -24 + 1/3*q**2 + 10/9*q**3 + a*q**5 + 0*q + 4/3*q**4. Suppose i(k) = 0. Calculate k.
-1, -1/2, 0
Let m = 1/2702 - 4645/35126. Let c = m - -321/364. Suppose c*v**3 - 9/2 + 39/4*v - 6*v**2 = 0. Calculate v.
1, 6
Suppose 5*u + 4*d + 11 = 0, 2*d = 3*u + 2*u + 17. Let a be (u/(-119)*2)/(165/770). Find c, given that 14/17*c**2 + a*c + 4/17*c**3 + 0 - 6/17*c**4 = 0.
-1, -1/3, 0, 2
Suppose -3014 = 48*r - 70*r. Let w = r - 137. Factor 3/2*b + 3/4*b**4 - 3/2*b**3 + w*b**2 - 3/4.
3*(b - 1)**3*(b + 1)/4
Let m(i) be the first derivative of 5*i**6/6 - 7*i**5 + 25*i**4/2 + 10*i**3/3 - 55*i**2/2 + 25*i - 2714. Factor m(h).
5*(h - 5)*(h - 1)**3*(h + 1)
Let m(o) = 18*o**3 - 2295*o**2 + 1705*o + 562. Let u(n) = 17*n**3 - 2295*n**2 + 1705*n + 558. Let l(b) = 3*m(b) - 2*u(b). Suppose l(y) = 0. Calculate y.
-1/4, 1, 114
Let u(c) be the second derivative of 12*c**2 - 3/5*c**5 - 67 + 25/2*c**3 - 29/4*c**4 - 2*c. Factor u(s).
-3*(s - 1)*(s + 8)*(4*s + 1)
Let x(r) = 4*r**3 + 12*r**2 - 66*r + 74. Let l(d) = -d**3 - d**2 + d - 1. Let p(n) = -2*l(n) - x(n). Factor p(w).
-2*(w - 2)**2*(w + 9)
Let k(q) be the third derivative of 0*q - 10*q**2 + 1/112*q**8 + 13/40*q**6 + 3 - 3/5*q**5 + 1/2*q**4 + 0*q**3 - 3/35*q**7. Factor k(i).
3*i*(i - 2)**2*(i - 1)**2
Factor 2/5*z**3 + 308/5 - 302/5*z - 8/5*z**2.
2*(z - 14)*(z - 1)*(z + 11)/5
Let k(m) be the first derivative of 30*m**2 + 248 - 1/2*m**3 - 600*m. Factor k(h).
-3*(h - 20)**2/2
Let o be 5/((-10)/(-1)) - (-2405)/30. Determine k so that o + 22/3*k + 1/6*k**2 = 0.
-22
Let n(q) be the third derivative of -q**7/525 + 2*q**6/75 + q**5/50 - 11*q**4/30 - 16*q**3/15 + 1327*q**2. What is h in n(h) = 0?
-1, 2, 8
Let l(c) = -13*c**4 + 82*c**3 - 386*c**2 + 314*c - 3. Let y(v) = 10*v**4 - 80*v**3 + 388*v**2 - 316*v + 2. Let r(o) = 2*l(o) + 3*y(o). Let r(q) = 0. What is q?
0, 1, 8, 10
Suppose -159*v = 69*v - 185 - 499. Let a(n) be the second derivative of 2/5*n**v + 25*n + 18/5*n**2 + 0 + 1/60*n**4. Solve a(o) = 0.
-6
Suppose 0 = 29*a + 4*a - 165. Let o(w) be the first derivative of 1/4*w**4 + 0*w - 7 - 1/2*w**2 - 1/3*w**3 + 1/5*w**a. Factor o(n).
n*(n - 1