. Factor -2*i**4 - i**4 + 0*i**4 - f*i**3 - 2*i**5 + i**5.
-i**3*(i + 1)*(i + 2)
Let y(p) be the first derivative of p**2/2 + 7*p - 1. Let t be y(-5). Factor -98*b**4 + 56*b**3 - 8*b**t - 2 + 0 + 2.
-2*b**2*(7*b - 2)**2
Let l(o) be the third derivative of o**6/24 + 35*o**5/4 + 4505*o**4/8 - 14045*o**3/6 + 392*o**2. Let l(n) = 0. Calculate n.
-53, 1
Let l be (95/(-120))/(-1) - 5/40. Let u(d) be the second derivative of 0 - 7/15*d**6 + 0*d**3 + 0*d**2 + l*d**4 + 6/5*d**5 + 2*d. Find y such that u(y) = 0.
-2/7, 0, 2
Let o(p) = -2*p + 7. Let a be o(4). Let k(h) = -h**2 + h. Let d(z) = 8*z**2 - 13*z - 4. Let i(t) = a*d(t) - k(t). Factor i(g).
-(g - 2)*(7*g + 2)
Let h(f) be the first derivative of 51*f**4/4 - 2*f**3/3 - 51*f**2/2 + 2*f - 156. Let h(c) = 0. Calculate c.
-1, 2/51, 1
Let v = 714 + -711. Let k(m) be the second derivative of -2*m**4 - 2*m - 16/3*m**v + 2/15*m**6 + 0*m**5 + 0 - 6*m**2. Let k(n) = 0. What is n?
-1, 3
Let 6*z**3 - 27*z**2 - 24*z**2 + 1418*z - 2*z**3 - z**3 - 1532*z = 0. What is z?
-2, 0, 19
Let o(c) be the first derivative of c**4/36 - 23*c**3/27 + 79*c**2/18 - 19*c/3 + 302. Suppose o(d) = 0. What is d?
1, 3, 19
Suppose -89*x = -93*x + 12. Let s(b) be the third derivative of 0*b**4 - 1/20*b**5 + 0 - 1/120*b**6 + 0*b - 2*b**2 + 2/3*b**x. What is v in s(v) = 0?
-2, 1
Let k be (-14 + 8)*4/(-3). Let m(h) = h**2 + 1. Let q(z) = 4*z**2 + 4*z + 16. Let g(w) = k*m(w) - q(w). Factor g(j).
4*(j - 2)*(j + 1)
Let u be (-4)/(-46) + 2600/4485. Factor 0*g**2 + u*g**3 + 0 + 0*g.
2*g**3/3
Let m(k) be the first derivative of -k**3/2 + 183*k**2/4 - 286. Factor m(p).
-3*p*(p - 61)/2
Let i(p) = p + 26. Let f be i(-19). Let z(r) = 23*r**2 + 43*r + 18. Let b(t) = 68*t**2 + 128*t + 53. Let h(u) = f*z(u) - 2*b(u). Suppose h(l) = 0. What is l?
-1, -4/5
Solve -371*x**5 - 11*x**2 - 10*x**3 - 102*x**2 - 151*x**2 - 315*x + 25*x**4 + 376*x**5 - 135 + 54*x**2 = 0.
-3, -1, 3
Let x(p) be the third derivative of -p**9/423360 + p**8/141120 + p**5/6 + 10*p**2. Let z(g) be the third derivative of x(g). Factor z(f).
-f**2*(f - 1)/7
Let w(k) be the first derivative of -k**6/210 + k**5/140 + k - 12. Let n(r) be the first derivative of w(r). Factor n(y).
-y**3*(y - 1)/7
Determine m, given that 480*m**5 - 475*m**5 + 5 - 5*m**3 + 4*m**4 + 15 + 11*m**4 - 35*m**2 = 0.
-2, -1, 1
Suppose 3*s - 5*s = -4*z + 8, 0 = z - 4*s - 9. Let v = z - -1. Suppose 2*y**v + y**2 - y**2 - 2*y**4 = 0. What is y?
-1, 0, 1
Let d be ((-14)/(-9))/(36/162). Let q(j) be the second derivative of 4*j + 0*j**2 + 0 + 2/45*j**6 + 1/63*j**d + 0*j**3 + 0*j**4 + 1/30*j**5. Factor q(h).
2*h**3*(h + 1)**2/3
Let t(o) be the third derivative of o**5/240 - o**4/48 + 14*o**2 - 2*o. Factor t(i).
i*(i - 2)/4
Factor -72/5*j + 3*j**3 - 6/5*j**2 + 3/5*j**4 + 0.
3*j*(j - 2)*(j + 3)*(j + 4)/5
Factor -1/4*c + 1/2*c**2 + 1/4*c**3 - 1/2.
(c - 1)*(c + 1)*(c + 2)/4
Suppose 2*o - 5 = 28*y - 27*y, -4*o - 2*y = -22. Let h = 6949/7 + -991. Suppose h*d + 0 - 60/7*d**2 + 69/7*d**3 - 3*d**o = 0. What is d?
0, 2/7, 1, 2
Let k be ((-6)/(-5))/3 - 152/380. Let y(o) be the first derivative of 6 - 1/10*o**5 - 1/8*o**4 + 1/6*o**3 + 1/12*o**6 + k*o + 0*o**2. Factor y(j).
j**2*(j - 1)**2*(j + 1)/2
Suppose 2*y = -2*o + 10, y = 3*y + 5*o - 19. Let n(w) be the first derivative of -2/5*w**y - 2/15*w**3 + 1/5*w**4 + 2/5*w + 5. Find m, given that n(m) = 0.
-1, 1/2, 1
Let i(h) be the first derivative of 1/132*h**4 + 0*h**5 - 1/660*h**6 + 0*h - 1/2*h**2 + 0*h**3 + 4. Let p(t) be the second derivative of i(t). Solve p(r) = 0.
-1, 0, 1
Let h(j) be the third derivative of j**8/20160 - j**7/840 + j**6/144 - 7*j**5/360 - j**4 - 2*j**2 + j. Let c(a) be the second derivative of h(a). Factor c(r).
(r - 7)*(r - 1)**2/3
Find o such that 3/2*o**2 + 366*o + 22326 = 0.
-122
Let t(k) be the second derivative of 6*k - 2/3*k**3 + 0 + 0*k**2 - 7/12*k**4. Let t(g) = 0. What is g?
-4/7, 0
Factor 4/3*t**5 + 4500*t**2 + 900*t**3 + 0 + 60*t**4 + 0*t.
4*t**2*(t + 15)**3/3
Let p(c) be the third derivative of c**8/504 + 2*c**7/315 - c**6/60 - 2*c**5/45 + c**4/9 - 98*c**2 - 1. Determine v so that p(v) = 0.
-2, 0, 1
Let d(a) be the first derivative of 4/5*a**5 + 1/4*a**6 + 0*a**3 + 0*a - 1/4*a**2 + 1 + 3/4*a**4. Factor d(l).
l*(l + 1)**3*(3*l - 1)/2
Let x(z) = -z**4 + z**3 - 2*z. Let d(g) = -165*g**4 + 228*g**3 + 597*g**2 + 240*g + 36. Let o(c) = -d(c) + 18*x(c). Determine y so that o(y) = 0.
-1, -2/7, 3
Let q(o) = -o + 4. Let k be q(3). Let i be (10/(-45))/(k/(-3)). Factor -i*j + 1/3*j**2 + 1/3.
(j - 1)**2/3
Let a(q) be the third derivative of -1/240*q**5 + 1/32*q**4 - 1/1440*q**6 + 0*q + 2/3*q**3 + 0 + 5*q**2. Let g(u) be the first derivative of a(u). Factor g(z).
-(z - 1)*(z + 3)/4
Let w(h) be the third derivative of -1/24*h**6 + 1/12*h**5 + 0 + 0*h**4 + 0*h + 0*h**3 + 8*h**2. Suppose w(g) = 0. Calculate g.
0, 1
Suppose 0 = i + 5*n - 13 - 15, -5*i = 4*n - 35. Suppose 5*c = -i*c + 16. Solve 8/13*t**4 + 4/13*t**c + 10/13*t**3 + 0 + 2/13*t**5 + 0*t = 0 for t.
-2, -1, 0
Let y(m) = -m**2 + 8*m + 17. Let k be y(9). What is g in 2*g + k*g - 6*g - 6*g**2 + 2*g**3 = 0?
0, 1, 2
Let m = -8080 + 24248/3. Factor -10/3*s - 2/3*s**3 + 4/3 + m*s**2.
-2*(s - 2)*(s - 1)**2/3
Let t(m) be the first derivative of 4/15*m**3 + 8/5*m**2 + 0*m - 1/10*m**4 + 39. Factor t(n).
-2*n*(n - 4)*(n + 2)/5
Suppose 4*j = 20*j + 2064. Let s = j - -131. Factor 16/7*q + 32/7 + 2/7*q**3 - 2*q**s.
2*(q - 4)**2*(q + 1)/7
Suppose 4/3*k**4 - 23/3*k**2 - 2*k + 0 + 5/3*k**3 = 0. Calculate k.
-3, -1/4, 0, 2
Factor -4/3*w**3 + 0 + 2/3*w**4 - 2/3*w**2 + 4/3*w.
2*w*(w - 2)*(w - 1)*(w + 1)/3
Let t(f) be the second derivative of -7*f**6/30 + 16*f**5/15 - 11*f**4/6 + 4*f**3/3 - 3*f**2 - 10*f. Let w(n) be the first derivative of t(n). Factor w(l).
-4*(l - 1)**2*(7*l - 2)
Let i(h) be the third derivative of h**6/72 + h**5 + 30*h**4 + 5*h**3/2 + 17*h**2. Let w(m) be the first derivative of i(m). Determine v, given that w(v) = 0.
-12
Suppose 0 = 2*b + 2*l + 6, 0*l = -b + l - 3. Let s be (2/6 - (-30)/(-18))*b. Solve 0*t + 2/7*t**s + 2/7 + 0*t**3 - 4/7*t**2 = 0 for t.
-1, 1
Determine z, given that -2127 + 103*z**3 - 1080*z**2 + 128 + 22*z**3 + 3520*z - 5*z**4 - 561 = 0.
1, 8
Suppose 11*t**2 - 95 - 180 + 0*t**2 + 80 - 50*t - 6*t**2 = 0. What is t?
-3, 13
Let g(y) be the first derivative of y**4/12 - 5*y**3/9 - y**2 + 188. Solve g(b) = 0.
-1, 0, 6
Let t(j) be the third derivative of j**5/30 + j**4/6 + 4*j**2 - 9. Suppose t(y) = 0. Calculate y.
-2, 0
Suppose 2*a - 11 = 55. Let i be (-2)/11 - (-138)/a. Factor 19*d - 10*d**2 - 3*d - 4 - i + 2*d**3.
2*(d - 2)**2*(d - 1)
Let k(y) be the third derivative of -y**7/105 + y**6/20 - y**5/15 - y**2 + 40. Factor k(c).
-2*c**2*(c - 2)*(c - 1)
Let p = 37 + -33. Let t = 184/85 - 30/17. Determine q, given that 2/5 - 1/5*q**5 + 2/5*q**3 + t*q**p - 4/5*q**2 - 1/5*q = 0.
-1, 1, 2
Let z(r) be the third derivative of -2*r**7/315 + 23*r**6/900 - 8*r**5/225 + r**4/60 + 207*r**2. Suppose z(i) = 0. Calculate i.
0, 3/10, 1
Suppose -1319*f = -3*h - 1324*f + 21, 0 = h - f + 1. Determine c, given that -1/3*c**4 + 2/3*c**3 + 0 - 1/3*c**h + 0*c = 0.
0, 1
Let i = -106 - -113. Factor 3*g**2 - 2*g**5 - i*g**2 + 16*g**3 - 20*g**4 + 10*g**5.
4*g**2*(g - 1)**2*(2*g - 1)
What is h in -4*h**5 - 25*h**4 + 33*h**2 - 8*h**2 - 9*h**3 - h**5 + 48*h - 18*h - 16*h**3 = 0?
-3, -2, -1, 0, 1
Let r(u) be the second derivative of u**4/84 + 5*u**3/7 + 4*u**2 - u - 59. What is a in r(a) = 0?
-28, -2
Let t = 4515 - 27089/6. Factor -t*i**2 + 0*i + 1/6.
-(i - 1)*(i + 1)/6
Let u(f) = -f**3 - 6*f**2 - f + 26. Let v be u(-3). Factor 40/9*i - 10/9*i**3 - 16/9 + 4/9*i**v.
-2*(i - 2)*(i + 2)*(5*i - 2)/9
Suppose 5*m = -4*b + 26, 3 = 3*b - 2*m - 28. Let q be (11/((-330)/b))/(1/(-15)). Factor 3*u + 3/2*u**2 - q.
3*(u - 1)*(u + 3)/2
Suppose -18*l + 900 = -21*l. Let i be (6 - l/(-54))*6/16. Find a such that 0*a - 1/6 + i*a**2 = 0.
-1, 1
Let u = -161/18 - -85/9. Let x(w) be the second derivative of u*w**3 + 4*w - w**2 - 1/12*w**4 + 0. Factor x(k).
-(k - 2)*(k - 1)
Let d(g) be the first derivative of g**9/6048 - g**7/1680 - 4*g**3/3 + 11. Let n(o) be the third derivative of d(o). Factor n(w).
w**3*(w - 1)*(w + 1)/2
Let v(g) be the first derivative of -g**4/16 + 13*g**3/4 - 18*g**2 + 35*g - 81. Factor v(j).
-(j - 35)*(j - 2)**2/4
What is n 