2 + 1575*a**3 - 1539*a**3 - 6*a**4 = 0. Calculate a.
-1, 1, 2, 7
Let g(l) be the second derivative of -2*l**6/75 + l**5/25 + l**4/15 - 2*l**3/15 + 93*l. Find u, given that g(u) = 0.
-1, 0, 1
Let x(d) be the second derivative of 1/8*d**2 + 11*d + 0 - 1/48*d**4 - 1/80*d**5 + 1/24*d**3. Solve x(o) = 0 for o.
-1, 1
Factor -1764/5 - 168/5*x - 4/5*x**2.
-4*(x + 21)**2/5
Suppose 7*i = -11*i + 72. Let k(t) be the first derivative of -18/7*t + 6/7*t**2 - i - 2/21*t**3. Factor k(j).
-2*(j - 3)**2/7
Let b(d) = 7*d**2 + d - 12. Let x(y) = -7*y**2 - y + 14. Let q(p) = -7*b(p) - 6*x(p). Factor q(o).
-o*(7*o + 1)
Suppose 0*a + 0*a = 2*a. Suppose 6*u = -a*u + 12. Factor 2/5*t**u - 4/5 + 2/5*t.
2*(t - 1)*(t + 2)/5
Find x such that -80*x - 11*x**2 + 8*x**2 + 8*x**2 + 320 = 0.
8
Let l(j) be the first derivative of 1/40*j**6 + 0*j**3 + 0*j - 1 + 1/8*j**4 + 1/10*j**5 + 5/2*j**2. Let m(i) be the second derivative of l(i). Factor m(y).
3*y*(y + 1)**2
Let k(j) = -11*j**5 - 4*j**4 + 29*j**3 - 24*j**2 - 5*j. Let n(l) = -5*l**5 - l**4 + 14*l**3 - 12*l**2 - 2*l. Let h(f) = 2*k(f) - 5*n(f). Factor h(u).
3*u**2*(u - 2)*(u - 1)*(u + 2)
Let f(w) be the first derivative of -w**4/28 - 19*w**3/21 - 38*w**2/7 + 96*w/7 - 331. What is r in f(r) = 0?
-12, -8, 1
Let i(r) be the third derivative of 5/16*r**4 + 5*r - r**2 + 1/2*r**3 + 0 - 1/224*r**8 - 1/35*r**7 + 1/20*r**5 - 1/20*r**6. Let i(v) = 0. Calculate v.
-2, -1, 1
Let n(u) = 3*u**3 - 26*u**2 - 41*u + 290. Let o be n(9). Factor 2/13*t**3 - 4/13*t**o + 4/13 - 2/13*t.
2*(t - 2)*(t - 1)*(t + 1)/13
Find k, given that -74/7*k**2 - 6*k**4 - 82/7*k**3 - 4/7 - 30/7*k - 8/7*k**5 = 0.
-2, -1, -1/4
Let g(t) be the third derivative of -1/8*t**4 + 0 + 1/60*t**5 + 12*t**2 + 0*t - 2/3*t**3. Determine d, given that g(d) = 0.
-1, 4
Let s = 554 - -753. Find p, given that 6*p**2 + p**3 + 1307 + 10*p**3 - p**5 + 4*p**4 - s = 0.
-1, 0, 6
Suppose 10 = 124*u - 238. Factor 0*z - 1/3*z**3 + 0 - 1/3*z**u.
-z**2*(z + 1)/3
Determine d so that 2/3*d - 38/9*d**2 + 0 - 44/9*d**3 = 0.
-1, 0, 3/22
Let w(h) = -h**2 - 1. Let c(u) = -28*u**2 + 4*u - 2. Let v be -1 + -2 - (-7 + 2). Let g(l) = v*w(l) - c(l). Factor g(i).
2*i*(13*i - 2)
Let d(q) be the first derivative of 5*q**3/3 - 63*q**2/2 + 36*q + 18. Determine b, given that d(b) = 0.
3/5, 12
Suppose -13*q + 220 = -2*q. Factor -18*l**2 + 5*l**3 - q*l**2 - 50*l + 33*l**2 - 40.
5*(l - 4)*(l + 1)*(l + 2)
Let t be (2/(-4))/(214/(-321) - 2/(-4)). What is q in 0*q - 45/4*q**4 + 12*q**t + 22*q**2 - 4 = 0?
-2/3, 2/5, 2
Find t such that 135/8*t**2 + 3/4*t + 0 + 129/8*t**3 = 0.
-1, -2/43, 0
Let p(b) be the third derivative of b**6/240 - b**5/120 - 25*b**4/48 + 25*b**3/12 - 4*b**2 + 65. Find l, given that p(l) = 0.
-5, 1, 5
Let j = 9335/3 + -65291/21. Solve -j*v**2 + 0 + 8/7*v**5 - 4/7*v - 4/7*v**3 + 18/7*v**4 = 0 for v.
-2, -1, -1/4, 0, 1
Let a be (-562)/(-12645)*54/1. Solve -2/5*h**5 + 24/5*h - 16/5 - 22/5*h**3 + 4/5*h**2 + a*h**4 = 0 for h.
-1, 1, 2
Find i, given that -26*i + 7/4*i**5 + 8 + 35/2*i**3 + 47/4*i**4 - 13*i**2 = 0.
-4, -2, 2/7, 1
Let o(w) = -9 - 7*w - w**2 + 0*w**2 - w. Let m be o(-6). Solve k**4 + 1 + 0*k**5 + 2*k**2 - m*k**2 - k**2 + k**5 - 2*k**3 + k = 0 for k.
-1, 1
Suppose -70*k + 67*k = -o - 1, 4*k - 5*o = -17. Let 2/7*a**k - 6/7 - 4/7*a = 0. What is a?
-1, 3
Let m(v) be the first derivative of -1/3*v**3 + 7*v + 3*v**2 + 6. Factor m(j).
-(j - 7)*(j + 1)
Suppose -4*r = -38 + 26. Suppose -4*n**2 - n**3 - 35*n + r + 19*n + 17*n + n**2 = 0. Calculate n.
-3, -1, 1
Let r(d) be the third derivative of -d**7/945 - d**6/135 - d**5/54 - d**4/54 - d**2 - 361. What is y in r(y) = 0?
-2, -1, 0
Find h, given that -4/19*h**4 + 0 + 58/19*h**3 - 28/19*h - 26/19*h**2 = 0.
-1/2, 0, 1, 14
Let u(j) = j**5 + 6*j**5 + 8*j**3 - 14*j**2 + 11*j**4 - 15*j**3 - 2*j + 5*j**2. Let s(y) = y**4 - y**3. Let h = -3 - -1. Let f(c) = h*s(c) + u(c). Factor f(o).
o*(o - 1)*(o + 1)**2*(7*o + 2)
Suppose 111 = -f - 104. Let c = 215 + f. Determine d, given that 1/5*d**4 + 0*d**3 + c - 3/5*d**2 + 2/5*d = 0.
-2, 0, 1
Factor -240 + 24*w - 3/5*w**2.
-3*(w - 20)**2/5
Factor -4*j + j**2 + 14*j + 4 + j - 7*j**2 - 2.
-(j - 2)*(6*j + 1)
Factor -124*w + 25*w - 317 + 68 + 39 + 3*w**2.
3*(w - 35)*(w + 2)
Let i(k) be the second derivative of -k**4/12 - k**3/2 + 9*k**2 - 111*k. Suppose i(z) = 0. What is z?
-6, 3
Suppose 6*w - 39 = -15. Let u(d) be the third derivative of 0 + 1/12*d**w - 3*d**2 + 0*d + 1/60*d**5 - 1/2*d**3. Find a, given that u(a) = 0.
-3, 1
Let l = 939 - 938. Let r(k) be the first derivative of 8*k + 2*k**2 - l - 4/3*k**3. Factor r(q).
-4*(q - 2)*(q + 1)
Let s be ((-24)/84)/((25/5)/(-10)). Solve s*z**4 - 24/7*z + 0 + 8/7*z**3 - 20/7*z**2 = 0 for z.
-3, -1, 0, 2
Solve 22*l**4 - 2962 + 24*l - 21*l**3 - 93*l**2 + 11*l**4 + 3022 - 3*l**5 = 0 for l.
-1, 1, 2, 10
Let p = -457 - -461. Let r(h) be the first derivative of -1/8*h**6 - 4 - 3/4*h**5 + 0*h**2 - 3/2*h**p - h**3 + 0*h. Determine x so that r(x) = 0.
-2, -1, 0
Let w(i) be the second derivative of 0 + 9*i**2 + 1/10*i**5 + i**3 - 5/6*i**4 + 11*i. Factor w(o).
2*(o - 3)**2*(o + 1)
Let v(l) = -4*l**2 - 4*l - 6. Let n(g) = g**2 + g. Let i(m) = 10*n(m) + 2*v(m). Determine w, given that i(w) = 0.
-3, 2
What is v in 132/13 - 2/13*v**2 - 62/13*v = 0?
-33, 2
Suppose -3*s + 3 = g, 0 = 2*g + 6. Suppose -s = 4*a - 6. Factor 2/3*j - 1/3*j**2 + a.
-(j - 3)*(j + 1)/3
Let q(r) be the first derivative of r**5/180 - 11*r**4/36 + 121*r**3/18 - 11*r**2/2 - 32. Let y(g) be the second derivative of q(g). Factor y(m).
(m - 11)**2/3
Let b be 11 + -15 + 4*2. Suppose -10*h + 0*h - b*h = 0. What is y in -4/3*y**2 + h*y + 0 - 4/3*y**3 = 0?
-1, 0
Let g(j) be the first derivative of j**7/840 - j**5/120 - 9*j**3 + 2. Let l(n) be the third derivative of g(n). Factor l(z).
z*(z - 1)*(z + 1)
Suppose 18*f = 32*f - 28. Let j(p) be the first derivative of -f - 2/39*p**3 - 2/13*p**2 + 6/13*p. Solve j(v) = 0 for v.
-3, 1
Let i = 58 - 55. Factor 18*b**3 - 19*b**3 - 3 + i.
-b**3
Suppose -2*b - i = -9, -60*i = -2*b - 59*i + 3. Let m(k) be the first derivative of -k**4 - 1/5*k**5 - k**b + 4*k + 2*k**2 + 4. Factor m(q).
-(q - 1)*(q + 1)*(q + 2)**2
Let y(n) = 100995*n**2 - 5405*n + 580. Let u(q) = 7214*q**2 - 386*q + 41. Let i(v) = 85*u(v) - 6*y(v). Factor i(a).
5*(38*a - 1)**2
Let t be ((-42)/36*3)/((-1)/(-30)). Let b = -522/5 - t. Determine r so that 3/5*r**2 - b*r - 3/5 + 3/5*r**3 = 0.
-1, 1
Let z be (14/40684)/(2 + 6/(-4)). Let g = z + 46493/4359. Factor 8/3*o**2 - g + 16/3*o - 4/3*o**3.
-4*(o - 2)**2*(o + 2)/3
Suppose -4/3*f**2 - 292/3*f - 96 = 0. Calculate f.
-72, -1
Let x(f) be the first derivative of -f**4/6 - 2*f**3/27 + 20*f**2/9 - 8*f/3 + 957. Find l such that x(l) = 0.
-3, 2/3, 2
Suppose -6*a - 1131 = 147. Let t = -1489/7 - a. Factor -t - 18/7*u**2 - 12/7*u.
-2*(3*u + 1)**2/7
Let j = 34 - 22. Let s be -4 - j*(3 + -4). Suppose 4*h**5 - 32*h**4 - 7*h**2 - 36*h + s*h**4 + 14*h**2 + 32*h**3 + 17*h**2 = 0. What is h?
-1, 0, 1, 3
Let a(l) be the first derivative of 2*l**5/85 + 11*l**4/34 - 8*l**3/17 - 56. Factor a(g).
2*g**2*(g - 1)*(g + 12)/17
Factor -4*q + 16/3 - 2*q**2 + 2/3*q**3.
2*(q - 4)*(q - 1)*(q + 2)/3
Let j be 5 - 0*(-8)/64*-4. Factor -1/5*f**4 + 0 - 1/5*f**j + 1/5*f**2 + 0*f + 1/5*f**3.
-f**2*(f - 1)*(f + 1)**2/5
Let r = 6557 + -6555. Solve -3/2*n**r + 0*n - 3/4*n**3 + 9/4*n**4 + 0 = 0 for n.
-2/3, 0, 1
Let j be (-2)/19 - (-20)/190. Let n(v) be the second derivative of 1/12*v**4 + 0 + 0*v**2 + j*v**3 + v - 1/20*v**5. Factor n(s).
-s**2*(s - 1)
Let g = -401 + 405. Let m(k) be the third derivative of -1/120*k**6 - 1/72*k**g + 0 - 1/630*k**7 - 4*k**2 - 1/60*k**5 + 0*k + 0*k**3. Factor m(w).
-w*(w + 1)**3/3
Let b(z) = -21*z**3 + 7*z**2 - 4*z + 6. Let h(u) = -83*u**3 + 29*u**2 - 15*u + 23. Let i(o) = 23*b(o) - 6*h(o). Let i(l) = 0. What is l?
-2/15, 0, 1
Let i(c) be the first derivative of c**4/6 - c**3/3 + 32*c + 18. Let q(b) be the first derivative of i(b). Factor q(k).
2*k*(k - 1)
Solve 162 + 176 - 38*l**2 - 28*l + 9*l**4 - 330 + 7*l**3 = 0.
-2, -1, 2/9, 2
Suppose 5*q + 4*m - 27 = 0, 0*m - 33 = -5*q - m. Suppose -7*y + q*y + y = 0. Suppose -3/5*b**2 + y + 3/5*b = 0. What is b?
0, 1
Let g(m) be the first derivative of 0*m**2 - 2 - 1/2*m**4 + 0*m - 2/3*m**3 + 2/5*m**5 + 1/3*m**6. Solve g(h) = 0.
-1, 0, 1
Let c(a) be t