 = -a(v) + 2*b(v). Factor g(i).
i**2*(i - 1)*(i + 44)**2
Find i such that 1/9*i**3 + 1296 + 9*i**2 + 216*i = 0.
-36, -9
Let j(d) be the first derivative of -91*d**4/4 - 796*d**3/3 - 278*d**2 - 96*d - 1000. Let j(o) = 0. Calculate o.
-8, -6/13, -2/7
Let l(o) = 25*o**2 + 1098*o + 304698. Let p(z) = -4*z**2 + z + 1. Let b(s) = -l(s) - 6*p(s). Suppose b(f) = 0. What is f?
-552
Suppose -345 = t - 4*c, -t - 421 = 5*c - 112. Let r = t - -331. Suppose 0 - 4/3*s**3 - 2/3*s**4 - 2/3*s**r + 0*s = 0. What is s?
-1, 0
Let h be ((-2)/(-140))/((-128)/(-1440)). Let w(v) be the second derivative of 0 + 0*v**6 - 9/16*v**5 + 34*v + h*v**7 + v**2 + 5/6*v**3 - 5/24*v**4. Factor w(s).
(s - 1)**2*(3*s + 2)**3/4
Let k(n) = 4*n**2 + 4*n + 4. Let z be k(-1). Solve -2*s**5 - 140*s**4 - 20*s**2 + 16 + 11*s**3 - 8*s + 144*s**z + 0*s - s**3 = 0 for s.
-2, -1, 1, 2
Let i(m) be the third derivative of -m**7/525 + 3349*m**6/300 - 112091*m**5/6 - 561125*m**4/12 + 5*m**2 + 91*m + 4. Let i(r) = 0. What is r?
-1, 0, 1675
Let o be (((-9)/6)/3)/(6 + -10). Let m(j) be the second derivative of 0*j**2 + 1/40*j**5 - 23*j + 0 + 1/6*j**3 - o*j**4. Solve m(b) = 0 for b.
0, 1, 2
Suppose 14 - 2 = 3*j + q, 4*q = 2*j - 22. Suppose 0 = -2*o - j*d + 14, o + 2*d - 12 = -3*d. Factor 4/7*k**o + 4/7*k**3 + 0 - 24/7*k.
4*k*(k - 2)*(k + 3)/7
Let w be 1525/(-19825) - 18/104 - 30/(-56). Factor 60/7*q + 62/7 - w*q**2.
-2*(q - 31)*(q + 1)/7
Find q, given that -76/3*q - 77/3*q**2 + 1/3*q**5 + 0 + 25*q**3 + 77/3*q**4 = 0.
-76, -1, 0, 1
Let g(m) be the second derivative of -5*m**7/42 + 16*m**6/3 + 2*m**5 - 320*m**4/3 - 40*m**3/3 + 1280*m**2 + 8136*m. Suppose g(j) = 0. Calculate j.
-2, 2, 32
Let i(u) be the first derivative of -u**6/360 + u**5/36 + u**4/9 - 2*u**3/3 + 57*u**2/2 + u - 126. Let x(z) be the second derivative of i(z). Factor x(j).
-(j - 6)*(j - 1)*(j + 2)/3
Let s be (12/(-2))/((-32)/16). Factor -100*c**3 + 102*c**s + c**4 + 65*c**2 - 68*c**2.
c**2*(c - 1)*(c + 3)
Let o be 75/6*(-1)/(-4)*176/110. Let d(p) be the first derivative of 3/5*p**o + 0*p + 0*p**3 + 3/4*p**2 + 7 - 9/8*p**4. Let d(l) = 0. Calculate l.
-1/2, 0, 1
Let h(s) = 23*s**3 - 53*s**2 - 727*s + 5461. Let o(w) = -3*w**3 - w**2 - 4*w - 2. Let g(m) = 3*h(m) + 24*o(m). Determine q, given that g(q) = 0.
-33, 5
Let h(r) be the first derivative of r**5/35 + r**4/28 - 11*r**3/7 + 59*r**2/14 - 4*r + 1316. Solve h(l) = 0 for l.
-7, 1, 4
Let r(a) be the second derivative of -3*a**5/20 + 811*a**4/2 - 8247*a. Find i, given that r(i) = 0.
0, 1622
Let s(t) = -17*t + 107. Let r be s(6). Let l be (-4 - 0)/((-13 - -6) + r). Solve -26/3*x**l + 3 - 20/3*x**3 + 4*x + 25/3*x**4 = 0.
-3/5, 1
Let d = 5733/58 - 24489/290. Factor 15*f - 3/5*f**2 - d.
-3*(f - 24)*(f - 1)/5
Let y(f) be the third derivative of -f**7/2100 - f**6/180 + f**5/50 + 67*f**3/2 + 153*f**2. Let u(g) be the first derivative of y(g). Factor u(i).
-2*i*(i - 1)*(i + 6)/5
Let q(y) be the third derivative of y**6/180 - 28*y**5/45 - 31*y**4/3 - 1674*y**2 - 2. Find h, given that q(h) = 0.
-6, 0, 62
Let v(i) = i**4 - i**2 - i - 1. Let a(r) be the first derivative of 5 - r**2 - 1/3*r**3 - 1/2*r**4 + 3/5*r**5 - 2*r. Let t(x) = 3*a(x) - 6*v(x). Factor t(b).
3*b**2*(b - 1)**2
Suppose 8*c = 346 - 186. Find i such that -71*i**2 - 68 + 68*i + 5*i**3 + 53*i**2 + c - 7*i**3 = 0.
-12, 1, 2
Suppose -1/3*p**4 - 16/3 - 32/3*p - 8/3*p**3 - 8*p**2 = 0. Calculate p.
-2
Factor 18*z**2 + 396 - 13*z**2 - 6486 - 835*z.
5*(z - 174)*(z + 7)
Factor 2/3*k**5 - 12 - 28/3*k**4 - 142/3*k - 44*k**3 - 208/3*k**2.
2*(k - 18)*(k + 1)**4/3
Factor -3/5*f**3 - 1332/5 - 87/5*f**2 + 852/5*f.
-3*(f - 6)*(f - 2)*(f + 37)/5
Let u(c) = 2*c**2 - 44*c + 44. Let h be u(21). Let g(k) = -k**3 + 2*k**2 + 5*k - 2. Let r be g(3). Solve 4*z - 5*z**h - 12*z**2 - r*z**3 + 17*z**2 = 0 for z.
-1, 0, 1
Let x(n) be the second derivative of -5/9*n**3 + 1/6*n**4 + 2/3*n**2 - 40*n + 2. Let x(a) = 0. What is a?
2/3, 1
Let -3040*g - 3*g**3 + 5993*g - 3097*g + 78*g**2 = 0. What is g?
0, 2, 24
Let h(t) be the second derivative of -t - 8/11*t**2 - 22 - 1/66*t**4 + 2/11*t**3. What is z in h(z) = 0?
2, 4
Suppose -3*t - 5*r = 27, -2*r - 28 = 4*t + 2*r. Let o be -1 + -1 + t*(-4)/8. Determine x, given that o + 8/3*x - 14/3*x**3 - 16/3*x**2 + 10/3*x**4 = 0.
-1, 0, 2/5, 2
Suppose 2*f = -4, 3*f = 3*g + 8*f + 37. Let h be (19 - 10 - 0) + g. Factor -3*x**3 + 0 + h*x**2 + 16*x + 1/2*x**4.
x*(x - 4)**2*(x + 2)/2
Factor 0 - 2/3*l**3 - 272/3*l**2 - 9248/3*l.
-2*l*(l + 68)**2/3
Let t(g) be the second derivative of g**4/4 + 5*g**3/2 - 126*g**2 + 1692*g. Let t(l) = 0. Calculate l.
-12, 7
Let d(a) be the second derivative of a**4/66 - 491*a**3/33 - 492*a**2/11 - 2*a - 70. Factor d(g).
2*(g - 492)*(g + 1)/11
Let g(y) be the second derivative of -y**5/20 - 7*y**4/8 - 3*y**3 + 53*y**2/2 - 14*y. Let m(r) be the first derivative of g(r). Factor m(o).
-3*(o + 1)*(o + 6)
Let t(r) be the second derivative of r**6/15 - 77*r**5/10 + 1943*r**4/6 - 15979*r**3/3 + 88*r + 5. Solve t(v) = 0.
0, 19, 29
Let 336*x - 46730 + 202*x**3 + 46730 + 2*x**5 - 64*x**4 + 604*x**2 = 0. What is x?
-1, 0, 6, 28
Let o(c) be the first derivative of -3*c**4/28 - 499*c**3/7 - 8901*c**2/14 - 13311*c/7 + 6415. Factor o(b).
-3*(b + 3)**2*(b + 493)/7
Let x(q) be the first derivative of -2*q**3/15 - 66*q**2 - 10890*q + 1811. Factor x(j).
-2*(j + 165)**2/5
Factor 2/11*d**3 - 772/11*d - 382/11*d**2 + 0.
2*d*(d - 193)*(d + 2)/11
Suppose -5*z = -2*a + 717, -a = 4*z - 3 - 388. Let o = -366 + a. Factor 6/5*u**4 + 0*u**3 + 0*u**2 + 0*u + 2/5*u**o + 0.
2*u**4*(u + 3)/5
Let y(d) = -27*d + 87. Let u(b) = -b**2 - 53*b + 178. Suppose 8*i = 49 - 89. Let l(j) = i*y(j) + 3*u(j). What is v in l(v) = 0?
-11, 3
Let i(v) = -4*v**2 - 25*v - 22. Let a be i(-5). Let l(k) be the second derivative of -1/54*k**4 + 4*k + 0 + 0*k**2 - 5/27*k**a. Suppose l(z) = 0. What is z?
-5, 0
Suppose 0 = -16*v - 18 + 33 + 33. Let l(g) be the third derivative of 31*g**2 + 1/140*g**7 - 1/4*g**4 - 3/40*g**6 + 9/40*g**5 + 0*g + 0*g**v + 0. Factor l(t).
3*t*(t - 4)*(t - 1)**2/2
Let o(j) be the second derivative of j**6/15 - 43*j**5/10 + 20*j**4/3 + 28*j**3 - 11*j + 94. Factor o(n).
2*n*(n - 42)*(n - 2)*(n + 1)
Factor -1236*m**3 - 1229*m**3 + 2467*m**3 - 52*m**2.
2*m**2*(m - 26)
Suppose 0 = -2*v - 2*b - 0*b + 18, -4*v = -b - 31. Suppose 0 = 2*w - 0*w - l - v, -5*l - 10 = 5*w. Factor w*y**3 - 2 - 3*y + 2*y - y + 2*y**2 + 0*y**3.
2*(y - 1)*(y + 1)**2
Let q be (156/(-260))/(18/(-100)). Let i(s) be the second derivative of 0 - 5/12*s**4 - 7*s - 10*s**2 - q*s**3. Factor i(l).
-5*(l + 2)**2
Let l(c) be the second derivative of c**6/60 - 7*c**5/40 + c**4/6 + c**3 + 1240*c. Factor l(s).
s*(s - 6)*(s - 2)*(s + 1)/2
Factor 112/11*t**3 + 0 + 1/11*t**4 + 0*t - 228/11*t**2.
t**2*(t - 2)*(t + 114)/11
Factor -211/3*g**2 - 256 - 1/6*g**4 - 37/6*g**3 - 736/3*g.
-(g + 2)*(g + 3)*(g + 16)**2/6
Let p(q) be the second derivative of -3*q**8/140 - q**7/105 + q**6/10 + q**5/15 - 27*q**3/2 - q + 33. Let z(l) be the second derivative of p(l). Factor z(y).
-4*y*(y - 1)*(y + 1)*(9*y + 2)
Find r, given that 130 + 116/7*r - 2/7*r**2 = 0.
-7, 65
Let h(i) = i**3 + 2*i**2 + i + 1. Let r(a) = 2*a + 46. Let j be r(-17). Let q(y) = 4*y**3 - 12*y**2 - 16*y + 6. Let c(g) = j*h(g) - 2*q(g). Factor c(f).
4*f*(f + 1)*(f + 11)
Let a(x) = 2*x**3 - 59*x**2 + 101*x + 22. Let d be a(2). Suppose 1/6*m**d + 7/6*m**3 + 0 + 5/6*m + 11/6*m**2 = 0. What is m?
-5, -1, 0
Suppose -47 = 81*u - 202 - 7. Factor -73/2*f - 25 + 1/2*f**3 - 11*f**u.
(f - 25)*(f + 1)*(f + 2)/2
Suppose -59620 = -242*y - 59136. Factor 16/13*v**y - 4/13 - 30/13*v.
2*(v - 2)*(8*v + 1)/13
Suppose -1 = s, 0 = -4*q + 21*s - 18*s + 11. Let h(d) be the third derivative of -1/21*d**3 + 1/42*d**4 - 1/210*d**5 + 3*d**q + 0 + 0*d. Factor h(c).
-2*(c - 1)**2/7
Let y(l) be the third derivative of l**7/6300 + l**4/2 - l**3/6 - l**2 + 4*l. Let x(g) be the second derivative of y(g). Determine w so that x(w) = 0.
0
Factor -3037 + 3037 - 4*t**3 + 2*t + 2*t**5.
2*t*(t - 1)**2*(t + 1)**2
Let y = -236 + 242. Let r be y/208 - 9/(-72). Factor -2/13*w**3 + 0*w**2 + r*w + 0.
-2*w*(w - 1)*(w + 1)/13
Let u(h) be the first derivative of -h**6/24 - 3*h**5/20 + h**4/16 + 11*h**3/12 + 3*h**2/2 + h - 1880. Factor u(g).
-(g - 2)*(g + 1)**3*(g + 2)/4
Let p(c) be the fi