7824/3 + 1/3*f**4 - 1573/3*f**3 + 275100*f**2 - 144701552/3*f.
(f - 524)**3*(f - 1)/3
Let u(j) be the second derivative of -59*j + 0*j**3 - j**5 + 0*j**2 + 0 - 5/4*j**4 - 1/6*j**6. Factor u(h).
-5*h**2*(h + 1)*(h + 3)
Let x(o) be the first derivative of -152 + 2/9*o**2 - 2/9*o**4 - 16/27*o**3 + 8/9*o + 2/27*o**6 + 8/45*o**5. Find q such that x(q) = 0.
-2, -1, 1
Suppose 2*p + 0 = 8. Suppose -k + 0*k - 2 = -4*w, -p = -4*k + 4*w. Factor 2*i**2 + k*i**5 - 4*i**3 + 7*i - i**5 - 4*i - 2.
(i - 1)**3*(i + 1)*(i + 2)
Suppose -2745 = 101*n + 194*n - 1210*n. Suppose -1/5*d**2 - 4/5*d + 1/5*d**n + 4/5 = 0. Calculate d.
-2, 1, 2
Determine l, given that -34*l**2 - 3/2*l**5 + 7*l**4 - 21 + 101/2*l - l**3 = 0.
-7/3, 1, 2, 3
Let a(w) be the first derivative of 2*w**3/33 + 80*w**2/11 + 1022*w/11 + 268. Let a(c) = 0. Calculate c.
-73, -7
Let p(s) be the third derivative of -s**7/525 + s**6/15 - 41*s**5/75 + 9*s**4/5 - 3*s**3 + 565*s**2. Let p(y) = 0. Calculate y.
1, 3, 15
Let h(v) be the second derivative of v**6/75 + 19*v**5/25 + 23*v**4/10 - 36*v**3/5 + 11*v + 7. Factor h(l).
2*l*(l - 1)*(l + 3)*(l + 36)/5
Let q(s) be the third derivative of 1/3024*s**8 + 0*s**3 - 95*s**2 + 0*s**5 + 0*s**4 + 0*s**7 + 1 - 1/270*s**6 + 0*s. Determine k so that q(k) = 0.
-2, 0, 2
Let p(d) be the second derivative of 0 + 2/3*d**3 - 43*d + 0*d**2 - 1/80*d**5 + 1/8*d**4. What is j in p(j) = 0?
-2, 0, 8
Let y(k) be the third derivative of 1/33*k**3 + 8281/330*k**5 + 0 - 91/66*k**4 + 0*k + 114*k**2. Factor y(m).
2*(91*m - 1)**2/11
Let f(x) be the third derivative of 3*x**6/40 - 31*x**5/20 - 23*x**4/8 + 11*x**3/2 - 460*x**2 + 4*x. Determine b, given that f(b) = 0.
-1, 1/3, 11
Suppose -2*d + 5 = 185*i - 190*i, d - i - 4 = 0. Let l(j) be the third derivative of 1/360*j**d + 1/12*j**4 + j**3 + 0*j - 21*j**2 + 0. Factor l(f).
(f + 6)**2/6
Let s(h) be the first derivative of h**6/3 + 296*h**5/5 + 3744*h**4 + 92160*h**3 + 442368*h**2 - 766. Solve s(q) = 0 for q.
-48, -4, 0
Let a(g) be the third derivative of 507*g**6/80 + 533*g**5/20 + 79*g**4/12 + 2*g**3/3 - 6*g**2 - 16*g. Factor a(k).
(k + 2)*(39*k + 2)**2/2
Let i(f) be the third derivative of 2 - 1/12*f**5 + 125/6*f**4 - 6250/3*f**3 - 47*f**2 + 0*f. Factor i(a).
-5*(a - 50)**2
Suppose -3 = -f + 24. Let i be f/6 + 12/(-24). Find v, given that 0 - 2*v**2 + 1 + i*v - 2*v**3 + 6*v - 7 = 0.
-3, 1
Suppose 4*h = 3*f - 363, -9*f = -13*f - 5*h + 484. Find u such that -f + 2*u**2 - 31*u + 201 + 5*u = 0.
5, 8
Suppose -8*g - 170 = -50. Let d be 12/2 - g/(-90)*18. Suppose 0 + 1/2*a**2 + 0*a + 1/8*a**4 + 1/2*a**d = 0. Calculate a.
-2, 0
Let u(z) be the third derivative of -28*z**2 - 7/132*z**4 + 0 + 1/330*z**5 - 2*z + 4/11*z**3. Determine f so that u(f) = 0.
3, 4
Let r = -124/8018565 - -43823371789/123774569340. Let z = r - 1/908. Find x such that 0 + 2/17*x**4 - 4/17*x**5 + z*x**3 - 2/17*x**2 - 2/17*x = 0.
-1, -1/2, 0, 1
What is g in 640 - 2/5*g**3 + 36*g**2 + 1968/5*g = 0?
-8, -2, 100
Let z be 2/4 - (-66)/44. Suppose -3*o = z*o. Determine r so that -3*r**5 + 10*r**4 - 2*r**2 - 9*r**3 + o*r**3 + 4*r**2 = 0.
0, 1/3, 1, 2
Let s = -3126 + 3129. Let z(r) be the second derivative of 1/6*r**4 - 2/3*r**s + 0 + r**2 - 12*r. Let z(o) = 0. Calculate o.
1
Let a(b) be the second derivative of -b**5/40 + 19*b**4/16 + 47*b**2 - 79*b. Let s(z) be the first derivative of a(z). Factor s(h).
-3*h*(h - 19)/2
Suppose 165 + 663 = -6*u. Let s be (-10)/3*u/115 + -4. Let 3/5*g**3 + 6/5*g**2 + 0*g + s = 0. Calculate g.
-2, 0
Let p be (-96)/(-30) + 6072/(-330) + 16. Factor 2/5*r**3 - p + 2/5*r**4 - 2*r - 6/5*r**2.
2*(r - 2)*(r + 1)**3/5
Let b be (3 + (-6)/(-18))/((-4)/(-6)). Determine d, given that d**2 + 14*d - 9 - 7 - 3*d - b*d = 0.
-8, 2
Let u(h) = 5*h**4 + 115*h**3 - 205*h**2 - 15*h. Let p(t) = -t**4 - 29*t**3 + 50*t**2 + 4*t. Let q(o) = 15*p(o) + 4*u(o). Let q(a) = 0. Calculate a.
-7, 0, 2
Factor -4*d**4 + 7*d**4 + 47 - 96*d - 74 - 33*d**3 - 244*d**2 + 1659 - 62*d**2.
3*(d - 17)*(d - 2)*(d + 4)**2
Suppose 5*t + 9*t = 4774. Let c = t - 337. Solve -12/5*p**3 - 2/5*p**c + 0 + 0*p - 18/5*p**2 = 0.
-3, 0
Let m(v) be the second derivative of 5/6*v**3 - 5 + 1/3*v**6 + 5*v**2 - 5*v - 1/2*v**5 + 5/42*v**7 - 5/3*v**4. What is q in m(q) = 0?
-2, -1, 1
Suppose 42*o = 38*o - 100. Let f = -10 - o. Factor -f*x**2 + 16 + 8 - 5*x**4 - 20*x + 20*x**3 - 4 + 0.
-5*(x - 2)**2*(x - 1)*(x + 1)
Let k be 15/((-945)/(-84)) - (4 + (-56)/12). Factor 2/13*n**3 + 2/13*n**4 - 2/13*n + 0 - 2/13*n**k.
2*n*(n - 1)*(n + 1)**2/13
Let m(l) = -45*l**3 - 78*l**2 + 1001*l - 3355. Let q(r) = -13*r**3 - 25*r**2 + 334*r - 1118. Let d(s) = -2*m(s) + 7*q(s). Factor d(v).
-(v - 6)**2*(v + 31)
Factor 89885522 - 4*c**4 + 3*c**4 - 4*c**3 - 89885522 + 3*c**2 - 4*c**4 + 2*c**5.
c**2*(c - 3)*(c + 1)*(2*c - 1)
Let q(z) be the second derivative of z**5/240 + z**4/32 + z**3/12 + 51*z**2/2 + 5*z - 11. Let l(a) be the first derivative of q(a). Let l(v) = 0. Calculate v.
-2, -1
Let f be 1680/168 + (15/(-30))/(7/130). Factor 1/7*z**4 - f*z**2 + 0 - 2/7*z**3 + 6/7*z.
z*(z - 3)*(z - 1)*(z + 2)/7
Let y be (-6)/(5 - 4 - 3). Let 8 - 29 + 36*k - y - 1 - 2*k**2 - 9 = 0. Calculate k.
1, 17
Let r(j) be the third derivative of j**7/560 - 37*j**6/80 + 293*j**5/160 - 73*j**4/32 + 8281*j**2. Suppose r(u) = 0. What is u?
0, 1, 146
Let l = 76874 - 844358/11. Let q = l - 114. Factor q*d**3 - 4/11*d + 0 - 2/11*d**2.
2*d*(d - 2)*(d + 1)/11
Let b(q) be the first derivative of q**6/3 + 14*q**5/5 + q**4 - 80*q**3/3 + 580. Let b(w) = 0. What is w?
-5, -4, 0, 2
Let x(b) = 8*b**2 + 23*b - 3. Let m(n) = 0*n**2 + 12*n**2 + 47*n - 6*n**2 + 8*n**2 - 5. Let y(t) = 6*m(t) - 10*x(t). Let y(a) = 0. What is a?
-13, 0
Suppose 0 = -13*q + 1167 - 621. Suppose -q*v - 111 = -79*v. Factor 0*n**v - 1/2*n**4 + n**2 - 1/2 + 0*n.
-(n - 1)**2*(n + 1)**2/2
Suppose q - 120 = 2*n - 127, 5*n + 5*q - 10 = 0. Let j(t) be the first derivative of -1/5*t**5 + 19/12*t**4 - 13 - 8/3*t + 6*t**2 - 14/3*t**n. Factor j(m).
-(m - 2)**3*(3*m - 1)/3
Factor -2/21*b**3 - 8/7*b**2 + 2/21*b + 8/7.
-2*(b - 1)*(b + 1)*(b + 12)/21
Suppose -2*z - 36*h + 19*h = -225, -5*z + 4*h = 42. Suppose 0*g - 2/13*g**z + 0 + 30/13*g**3 = 0. Calculate g.
0, 1/15
Let k(d) = -15*d**4 - 1315*d**3 + 8190*d**2 - 4985*d - 52075. Let v(w) = w**4 + 94*w**3 - 585*w**2 + 356*w + 3722. Let l(i) = -6*k(i) - 85*v(i). Factor l(g).
5*(g - 8)*(g - 7)**2*(g + 2)
Let u(h) be the first derivative of h**5/5 + 69*h**4/2 + 541*h**3/3 + 336*h**2 + 268*h + 3892. Determine b, given that u(b) = 0.
-134, -2, -1
Factor 1132*w**2 - 4*w**4 - 229*w + 90*w**3 - 147*w - 3*w**4 + 556*w**3.
-w*(w - 94)*(w + 2)*(7*w - 2)
Let u be (-6)/33*((-78)/546 + (-65)/84). Suppose 0*a - u*a**3 + 1/6*a**2 + 0 = 0. What is a?
0, 1
Let q = -218 - -223. Suppose -105 - 18*p - 140*p**2 - 7*p + 80*p**3 + 115 - q*p**3 = 0. Calculate p.
-1/3, 1/5, 2
Let p be 13 + 169/(143/(-11)). Let f be 1/1 + (180/(-95) - -1). What is s in p*s - 2/19*s**4 - 2/19*s**3 + 2/19*s**2 + f*s**5 + 0 = 0?
-1, 0, 1
Let w(i) be the second derivative of -22/105*i**6 + 9/7*i**5 + 2/147*i**7 - 27/7*i**4 + 0 + 0*i**2 + 53*i + 36/7*i**3. Factor w(r).
4*r*(r - 3)**3*(r - 2)/7
Let q(s) be the first derivative of 0*s + 4*s**3 - 3/2*s**6 + 0*s**2 - 12/5*s**5 + 9/4*s**4 - 47. Let q(c) = 0. Calculate c.
-4/3, -1, 0, 1
Let o(h) = 8*h**2 + 56*h + 6372. Let k(i) = -26*i**2 - 172*i - 19122. Let y(a) = -6*k(a) - 19*o(a). Suppose y(g) = 0. What is g?
-36, 44
Let m = 1953 + -1950. Let r(w) be the second derivative of -2*w + m*w**2 + 1/10*w**6 + 0 + 3/4*w**5 + 7/2*w**3 + 9/4*w**4. Factor r(b).
3*(b + 1)**3*(b + 2)
Let j = -180 + 200. Let q be (1/1)/(80/j). Determine z, given that 1/4*z**2 - q*z + 0 = 0.
0, 1
Let x be 16 + (-14)/((-504)/(-585)) - 3/(-12). Solve 9/5*k + 0*k**2 + x - 1/5*k**3 = 0.
-3, 0, 3
Let b(o) = -3746*o**3 - 2*o**4 + 0*o**4 - 3*o**2 + 1873*o**3 + 1866*o**3. Let a(n) = 3*n**4 + 6*n**3 + 4*n**2. Let i(w) = -3*a(w) - 4*b(w). Factor i(p).
-p**3*(p - 10)
Let s(t) be the first derivative of 0*t**2 - 20/3*t**3 + 44/5*t**5 + 0*t - 188 - 4/3*t**6 - 4*t**4. What is q in s(q) = 0?
-1/2, 0, 1, 5
Let o(b) = -22*b**2 + 48229*b + 12066. Let m(v) = 23*v**2 - 48226*v - 12069. Let z(l) = -2*m(l) - 3*o(l). Factor z(t).
5*(t - 2412)*(4*t + 1)
Suppose 0 = -7*q + 47 + 765. Let l = -112 + q. Let n(h) = -h**2 + 