u be (-10 + (-99)/(-18))/1*(-24)/27. Suppose 0 - 22/5*a**2 + 4/5*a**u + 6/5*a**3 - 12/5*a = 0. Calculate a.
-3, -1/2, 0, 2
Let g(t) be the third derivative of 0*t + 0*t**4 + 0 + t**2 + 1/30*t**5 - 1/3*t**3. Factor g(o).
2*(o - 1)*(o + 1)
Let n(o) be the second derivative of -2*o**7/63 - 2*o**6/45 + o**5/3 + o**4/9 - 16*o**3/9 + 8*o**2/3 - 10*o - 4. Factor n(q).
-4*(q - 1)**3*(q + 2)**2/3
Let c(x) be the first derivative of 5*x**3/3 - 5*x**2/2 - 60*x + 642. Factor c(f).
5*(f - 4)*(f + 3)
Let 25*v**5 - 267*v - 9*v**5 + 31*v**3 + 42 + 84*v**4 + 8*v**5 - 529*v**3 + 591*v**2 = 0. What is v?
-7, 1/2, 2
Let t(q) = 5*q**3 - 115*q**2 + 218*q - 111. Let b(f) = 60*f**3 - 1380*f**2 + 2615*f - 1330. Let n(y) = 3*b(y) - 35*t(y). Solve n(w) = 0 for w.
1, 21
Let g(y) be the first derivative of 1/12*y**4 + 0*y**2 + 9*y + 1/6*y**3 - 1. Let w(u) be the first derivative of g(u). Factor w(x).
x*(x + 1)
Let n(y) = 39*y**2 + 13*y + 1. Let k be n(4). Factor -678*q - 2*q**2 + 3*q**2 + k*q.
q*(q - 1)
Let a(j) be the first derivative of -3*j**4/2 + 2*j**3 + j**2/12 - j/6 + 246. Suppose a(u) = 0. What is u?
-1/6, 1/6, 1
Suppose 73*d + 9 = 76*d. Factor 14*r**3 + 2 - 2*r**2 + 6*r - 2*r**5 - 7*r**4 + d*r**5 - 21*r + 7.
(r - 3)**2*(r - 1)**2*(r + 1)
Factor 1/4*x**3 - 1/4*x - 3/4 + 3/4*x**2.
(x - 1)*(x + 1)*(x + 3)/4
Let a(o) = 25886*o**3 - 80088*o**2 + 7258*o - 190. Let k(w) = -3698*w**3 + 11441*w**2 - 1037*w + 27. Let r(j) = -6*a(j) - 44*k(j). Find q, given that r(q) = 0.
2/43, 3
Let l(x) be the third derivative of 3*x**6/20 + x**5/6 - 11*x**4/6 + 8*x**3/3 - 12*x**2 - 5*x. Find y, given that l(y) = 0.
-2, 4/9, 1
Factor 150*q**2 - 469*q + 35*q**3 - 3*q**4 + 469*q - q**4 - q**5.
-q**2*(q - 6)*(q + 5)**2
Let c(l) be the first derivative of 0*l**2 + 4*l - 1/75*l**6 + 6 - 1/15*l**3 - 1/10*l**4 - 3/50*l**5. Let y(h) be the first derivative of c(h). Factor y(f).
-2*f*(f + 1)**3/5
Let r be 60/15 - 4/2. Let f be -3 + (-3)/r*20/(-6). Factor 0*p + 0 - 1/4*p**3 + 0*p**f - 1/4*p**4.
-p**3*(p + 1)/4
Let m = -136508/5 + 27304. Let -m + 64/5*y - 47/5*y**2 + 9/5*y**3 = 0. What is y?
2/9, 2, 3
Let l(t) be the first derivative of t**4/90 - t**3/15 + 9*t + 14. Let x(b) be the first derivative of l(b). Let x(n) = 0. Calculate n.
0, 3
Let b(z) be the second derivative of 0 + 0*z**3 + 1/120*z**5 + 0*z**4 - 2*z**2 + z - 1/480*z**6. Let q(f) be the first derivative of b(f). Solve q(d) = 0 for d.
0, 2
Let t(n) be the third derivative of n**8/42 - 19*n**7/105 + 7*n**6/60 + 13*n**5/10 + 3*n**4/4 - 9*n**2 - n. Find o such that t(o) = 0.
-1, -1/4, 0, 3
Factor 4/5*l + 5*l**3 + 0 + 6/5*l**4 + 28/5*l**2.
l*(l + 2)**2*(6*l + 1)/5
Let r(w) be the first derivative of w**7/70 - w**6/10 + w**5/4 - w**4/4 + 27*w**2/2 - 7. Let s(p) be the second derivative of r(p). Factor s(j).
3*j*(j - 2)*(j - 1)**2
Let j = -16/1553 + 3154/4659. Suppose -2*l + g = -9 + 1, g = -4*l + 4. Factor 1/3*d**l + 0*d + 3/2*d**3 + 0 + j*d**4.
d**2*(d + 2)*(4*d + 1)/6
Let t(y) = 2*y**2 + 20*y + 27. Let s be t(-9). Suppose 3*x - 6 - s = 0. Factor -11/3*d**4 - x*d**3 - 3*d**2 - 2/3*d + 0 - d**5.
-d*(d + 1)**3*(3*d + 2)/3
Let q be (-51)/34*(4 - 2 - -22). Let o be (q/45)/((-6)/15). Find n such that 1/2*n**2 + o*n + 3/2 = 0.
-3, -1
Let g(f) be the first derivative of -4*f**5/15 + f**4/3 + 27. Find s such that g(s) = 0.
0, 1
Factor -13 - 4*r**2 - 50 + 56*r - r**2 - 182 + 14*r.
-5*(r - 7)**2
Let y(b) = -12*b - 94. Let o be y(-8). What is p in -2/3*p**o + 0 + 8/3*p = 0?
0, 4
Let u = 43 + -40. Let n be 32/14 - 2/7. Suppose 0*m**3 + 2*m**4 - 5*m**u + 4*m**3 - m**4 - n*m**2 = 0. What is m?
-1, 0, 2
Let w(d) be the first derivative of -20/3*d + 1/6*d**5 + 5/3*d**2 + 5/3*d**3 - 25/24*d**4 + 7. Factor w(a).
5*(a - 2)**3*(a + 1)/6
Suppose -12*w = -63 + 39. Factor 3/2*p**w + 3/2*p - 3.
3*(p - 1)*(p + 2)/2
Let o(w) be the first derivative of w**5/20 + w**4/8 - w**3 + 4*w**2 + 16. Let k(q) be the second derivative of o(q). Find t, given that k(t) = 0.
-2, 1
Suppose 2*w + 104 = -4*q, -5 = q - 5*w - 1. Let k be (-4)/(-5) + q/(-20). Solve 3/5*n + 0*n**4 - 6/5*n**3 + 0 + 0*n**k + 3/5*n**5 = 0 for n.
-1, 0, 1
What is o in -85/2*o**3 - 145/2*o**4 + 165/2*o**2 - 10 + 105/2*o**5 - 10*o = 0?
-1, -2/7, 2/3, 1
Let n be ((-12)/(-36))/(1/3) + 1. Let z(p) be the first derivative of 1/4*p**4 + 4/3*p**3 + 5/2*p**n - 5 + 2*p. Find r such that z(r) = 0.
-2, -1
Let o(i) = 5*i**4 + 101*i**3 - 46*i**2 - 72*i - 4. Let t(v) = 4*v**4 + 100*v**3 - 47*v**2 - 72*v - 5. Let f(k) = -5*o(k) + 4*t(k). Solve f(h) = 0.
-12, -2/3, 0, 1
Let o(x) be the first derivative of 1/24*x**4 - 3 + 0*x**2 + 1/360*x**6 + 1/60*x**5 + 0*x - 1/3*x**3. Let p(v) be the third derivative of o(v). Solve p(i) = 0.
-1
Let u(v) be the second derivative of -v**5/120 - 13*v**4/72 - 14*v**3/9 - 20*v**2/3 - 275*v. Factor u(l).
-(l + 4)**2*(l + 5)/6
Let y(z) be the first derivative of z**3/4 + 95*z**2/4 + 63*z/4 + 476. Let y(v) = 0. What is v?
-63, -1/3
Let 2/5*h**5 + 64/5*h**3 - 28/5*h**4 + 28/5*h**2 - 66/5*h + 0 = 0. Calculate h.
-1, 0, 1, 3, 11
Suppose 94*j - 33*j = 122. Let o(c) = 72*c**2 - 57*c + 15. Let w(g) = -21*g**2 + 13*g**2 - 65*g**2 + 58*g - 14. Let p(b) = j*o(b) + 3*w(b). Factor p(n).
-3*(5*n - 2)**2
Let w(r) = -2*r + 36. Let k be w(-18). Suppose 0*p + k = 8*p. Factor 21/2*x**2 - p + 57/2*x.
3*(x + 3)*(7*x - 2)/2
Let h(v) be the second derivative of -v**6/20 - 9*v**5/40 + 41*v. Factor h(j).
-3*j**3*(j + 3)/2
Let i(q) be the second derivative of 3/2*q**2 + 4*q + 0 + 0*q**3 + 1/60*q**4 - 1/75*q**5. Let f(h) be the first derivative of i(h). Let f(o) = 0. Calculate o.
0, 1/2
Let a be (4/(-2) - -4) + 0. Determine g so that g - 8*g**a + g**4 + 3*g - 4*g**5 + g**4 + 6*g**4 = 0.
-1, 0, 1
Let v(l) be the third derivative of 1/21*l**7 + 20*l**2 + 0*l**3 - 5/24*l**4 + 0*l**6 + 0 - 1/6*l**5 + 5/336*l**8 + 0*l. Solve v(m) = 0 for m.
-1, 0, 1
Let j(b) = 55*b**2 + 13*b + 2. Let a(x) = -4*x**2. Let n(o) = 44*a(o) + 4*j(o). Factor n(v).
4*(v + 1)*(11*v + 2)
Suppose -3*i + 3*f = -22 + 67, -3*i - 3*f = 63. Let k(v) = v**2 - v - 1. Let l(m) = 11*m**2 - 17*m - 19. Let s(w) = i*k(w) + 2*l(w). What is y in s(y) = 0?
-1, 5
Let h(b) = -4*b**5 + 4*b**4 + 12*b**3 + 3*b**2 - b. Let q(n) = n**5 - n**4 - 3*n**3 - n**2. Let x(j) = -2*h(j) - 7*q(j). Factor x(u).
u*(u - 2)*(u - 1)*(u + 1)**2
Solve 4 - 8*r**2 - 5*r**4 + 4*r - 8*r**3 - r**4 - 13*r**5 + 17*r**5 + 10*r**4 = 0.
-1, 1
Let o = 295 + -188. Suppose o - 132 = -5*j. Factor 3/2*x**4 + 0*x**2 + 3/2*x**j + 0*x + 0*x**3 + 0.
3*x**4*(x + 1)/2
Factor -38/3*o**3 - 140*o**2 - 1/3*o**4 + 1445/3 - 986/3*o.
-(o - 1)*(o + 5)*(o + 17)**2/3
Let v be (-1)/2 + 126/108. Factor -n**2 + 1/3 - v*n.
-(n + 1)*(3*n - 1)/3
Suppose 0 = 3*t - c - 4*c + 11, -3*t - c + 13 = 0. Factor j + j**4 + 111*j**2 - j**5 - t*j**4 - 109*j**2.
-j*(j - 1)*(j + 1)**3
Suppose 0 = -q + 3*t + 5 - 2, -q + 3 = 2*t. Let -2/5*u**q + 0 - 2/5*u**4 + 0*u + 4/5*u**2 = 0. Calculate u.
-2, 0, 1
Let a be (2 - (6 - (-8)/(-4))) + 35. Factor 10*l**4 + 8*l**2 - a*l**5 + 31*l**5 - 5*l**3 - 11*l**3.
-2*l**2*(l - 2)**2*(l - 1)
Let f be 5 + (3 - (-132)/(-18)). Let c(l) be the first derivative of -f*l**6 + 0*l - 13/4*l**4 - 2*l**3 - 12/5*l**5 - 1/2*l**2 + 5. Find q, given that c(q) = 0.
-1, -1/2, 0
Let c(v) be the second derivative of -v**4/12 - v**3/6 + v**2 + 44*v. Solve c(o) = 0.
-2, 1
Suppose -6*m - 800 = -11*m. Factor 5*w**5 - 16*w**4 - 12*w**3 - 24*w**4 + 80*w - m*w**2 + 132*w**3.
5*w*(w - 2)**4
Let d(k) be the third derivative of -1/240*k**8 + 0*k**3 + 4/75*k**5 - 8/525*k**7 + 1/200*k**6 + 1/30*k**4 + 0*k + 0 - 6*k**2. Let d(b) = 0. What is b?
-2, -1, -2/7, 0, 1
Let j(k) be the second derivative of -k**6/195 + k**5/26 - 4*k**4/39 + 4*k**3/39 + 7*k. What is z in j(z) = 0?
0, 1, 2
Let h(c) be the second derivative of -c**8/420 - c**7/105 + c**6/90 + c**5/15 + c**3 - 8*c. Let b(r) be the second derivative of h(r). Factor b(j).
-4*j*(j - 1)*(j + 1)*(j + 2)
Let m(b) be the first derivative of 5*b**4/4 - 25*b**3/3 + 192. Suppose m(a) = 0. Calculate a.
0, 5
Suppose -5*s - 52 = 78. Let v = s + 28. Factor -10/3*u**v - 4/3*u**3 - 2/3 - 8/3*u.
-2*(u + 1)**2*(2*u + 1)/3
Let a(b) be the second derivative of b**6/210 + 3*b**5/35 - 31*b**4/84 - b**3 + 64*b + 1. Solve a(w) = 0 for w.
-14, -1, 0, 3
Let d(f) be the first derivative of -f**4/6 + 4*f**3/9 