= 0.
0, 1, 5, 25
Let i(w) be the first derivative of 2*w**3/9 - 1102*w**2/3 + 607202*w/3 + 1611. Suppose i(o) = 0. What is o?
551
Suppose 4*m + 5*w + 950 - 78 = 0, 4*w = 4*m + 908. Let b = m - -225. Factor -5/3*y**b + 0 - 2/3*y - y**3.
-y*(y + 1)*(3*y + 2)/3
Let r = -169849/3 - -56617. Find j such that -4/3*j**2 - 2/3*j - r*j**3 + 0 = 0.
-1, 0
Let q = -59 + 14. Let z = -43 - q. Factor -3*p + 4*p**2 + 7*p**z - 17*p**2 - 3*p**3.
-3*p*(p + 1)**2
Factor -11*k**3 + 19*k**3 + 14682 - 884*k**2 - 14682 + 440*k.
4*k*(k - 110)*(2*k - 1)
Let w(u) = 13*u**2 - 205*u + 11. Let f(z) = -7*z**2 + 109*z - 6. Let g(a) = 11*f(a) + 6*w(a). Factor g(m).
m*(m - 31)
Let u(d) = -140*d + 348. Let v(t) = t**2 - 149*t + 348. Let c(o) = 5*u(o) - 4*v(o). What is k in c(k) = 0?
-29, 3
Let s(v) be the first derivative of -v**5/60 - v**4/8 + 2*v**3/3 + 25*v**2/2 - 206. Let o(b) be the second derivative of s(b). Suppose o(g) = 0. What is g?
-4, 1
Find d such that -56/3*d + 12 + 7*d**2 - 1/3*d**3 = 0.
1, 2, 18
Suppose -111/4*x - 153/2 - 3/4*x**2 = 0. What is x?
-34, -3
Suppose -91*m + 12 = -85*m. Factor -9*f**4 + 3*f**4 - 25*f + 7*f**4 - 250 + 13*f**3 + 0*f**4 + 45*f**m.
(f - 2)*(f + 5)**3
Let h(r) = -13*r - 37. Let z be h(-3). Let s(v) = -v. Let m(q) = -q**2 + 16*q - 49. Let x(w) = z*s(w) + m(w). Find i such that x(i) = 0.
7
Let a(c) be the first derivative of c**2 - 28*c - 28. Let w be a(15). What is u in -44*u**4 + 11*u**4 - 8*u**2 + 2*u + 37*u**3 - 7*u**w + 9*u**5 = 0?
0, 1/3, 1, 2
Factor 21881*t - 436*t**2 + 30246*t - 20621*t + 16018*t + t**3.
t*(t - 218)**2
Suppose -26*c + 29*c = 12. Let 2*g**5 + 8*g - 8*g**2 + 8*g**4 - c*g - 6*g**5 + 0*g = 0. What is g?
-1, 0, 1
Let f(y) be the third derivative of 0 + 5/2*y**3 + 1/12*y**5 - 72*y**2 - 25/24*y**4 + 1/24*y**6 + y. Find h such that f(h) = 0.
-3, 1
Let v = 1097463 + -3292349/3. Factor -2/3*m**2 - 2/3*m + v.
-2*(m - 4)*(m + 5)/3
Let y(b) = 240*b**2 - 9249*b - 9219. Let j(h) = -89*h**2 + 3468*h + 3457. Let o(c) = -27*j(c) - 10*y(c). Factor o(p).
3*(p - 383)*(p + 1)
Let s = -3875091250613/5580 + 694460800. Let j = s - -1/1116. Let j - 2*i + 2/5*i**2 = 0. What is i?
2, 3
Let y(c) = -c**3 + 45*c**2 - 119*c - 291. Let l be y(42). What is r in 3/4*r**l + 21/2*r + 6 + 21/4*r**2 = 0?
-4, -2, -1
Find y, given that -8/7*y - 2/7*y**2 - 8/7 = 0.
-2
Let x(h) be the third derivative of -h**6/150 - 2*h**5/15 + 92*h**4/15 - 128*h**3/3 + 6*h**2 + 33. Suppose x(v) = 0. Calculate v.
-20, 2, 8
Let o be -5 + (4 - 3 - -6). Let v(k) be the first derivative of 5/4*k**o + 36 + 5/6*k**3 - 5*k. Factor v(h).
5*(h - 1)*(h + 2)/2
Let z(o) be the third derivative of 0*o**3 + 0*o - 1/200*o**6 - 3/100*o**5 + 0 - 1/24*o**4 + 167*o**2 + 1/1050*o**7. Factor z(m).
m*(m - 5)*(m + 1)**2/5
Let j be (10/(-15))/(-1 + (-14)/(-18)). Suppose 2*m = -q + j, -3*q + 3 = 4*m - 0*q. Factor -18 + 3*s - m*s**3 + 3*s**2 + 4*s**3 + 19.
(s + 1)**3
Let k(s) = 12*s**3 + 1781*s**2 + 392510*s - 792120. Let l(h) = 19*h**3 + 2672*h**2 + 588767*h - 1188182. Let y(g) = -8*k(g) + 5*l(g). Factor y(v).
-(v - 2)*(v + 445)**2
Let w = 16333 - 32661/2. Let a(g) be the first derivative of w*g**2 + 41 + 0*g - 35/3*g**3. Factor a(b).
-5*b*(7*b - 1)
Let n(u) be the second derivative of 5*u**4/12 - 1255*u**3/6 - 630*u**2 + 399*u. Suppose n(d) = 0. Calculate d.
-1, 252
Let q(f) be the first derivative of -1/2*f**3 + 0*f**2 - 15*f + 0*f**5 - 1/20*f**6 + 5 + 3/8*f**4. Let c(a) be the first derivative of q(a). Factor c(p).
-3*p*(p - 1)**2*(p + 2)/2
Let x(h) be the first derivative of 2*h - 3/4*h**2 + 3 - 11/12*h**3 + 3/16*h**4. Factor x(i).
(i - 4)*(i + 1)*(3*i - 2)/4
Let z(u) = -10*u**5 - u**4 - 2*u**2 + u - 1. Let f(v) = -11*v**5 - 23*v**4 - 190*v**3 - 802*v**2 - 1624*v - 1251. Let q(h) = 2*f(h) - 2*z(h). Solve q(c) = 0.
-5, -2
Let g be -3 - 145/(-15) - (-4)/3. Let o be (g/10)/((-14)/(-70)). Factor 0 + 3/7*z**o + 27/7*z**2 + 0*z + 18/7*z**3.
3*z**2*(z + 3)**2/7
Let o(f) be the first derivative of f**6/27 - 4*f**5/45 - f**4/3 + 40*f**3/27 - 19*f**2/9 + 4*f/3 + 1451. Solve o(k) = 0.
-3, 1, 2
Let q(v) be the second derivative of 2*v**7/35 + 22*v**6/3 + 8548*v**5/25 + 6288*v**4 + 17280*v**3 - 21600*v**2 + 4*v - 692. Let q(i) = 0. What is i?
-30, -2, 1/3
Let y(t) be the second derivative of -4*t**6/75 - 189*t**5/25 - 31*t**4/5 + 188*t**3/15 + 1405*t. Let y(f) = 0. Calculate f.
-94, -1, 0, 1/2
Let p(f) be the second derivative of -17/8*f**4 + 289/4*f**3 - 4913/4*f**2 + 1/40*f**5 - 2*f + 25. Suppose p(g) = 0. Calculate g.
17
Let x = 4146/5 - 16569/20. Suppose -1/2*u - 1/4*u**2 + 0 + x*u**3 + 1/4*u**4 - 1/4*u**5 = 0. Calculate u.
-1, 0, 1, 2
Suppose -38*d = -14*d + 26 - 170. Factor d*m + 9/2 + 3/2*m**2.
3*(m + 1)*(m + 3)/2
Let h(d) be the second derivative of d**5/45 - 2*d**4/9 - 10*d**3/9 - 105*d**2/2 - 38*d - 1. Let y(z) be the first derivative of h(z). Factor y(l).
4*(l - 5)*(l + 1)/3
Let f = -43 - -44. Let o be (-2 - (-10 - (2 - 5))) + f. Suppose 0*m**3 + o*m**3 - 4*m**3 + 0*m**3 - 2*m**2 = 0. What is m?
0, 1
Let r(z) be the first derivative of z**6/21 - 86*z**5/35 - 71*z**4/7 + 368*z**3/21 + 2675. Solve r(f) = 0.
-4, 0, 1, 46
Let x(w) = -3*w**3 - 37*w**2 + 65*w - 31. Let n(p) = 33*p**3 + 369*p**2 - 648*p + 309. Let q(r) = 2*n(r) + 21*x(r). Determine l, given that q(l) = 0.
1, 11
Let x(h) be the third derivative of -h**7/105 - 2*h**6/5 - 79*h**5/30 + 2*h**4 + 80*h**3/3 + 9*h**2 - 110*h. Find g, given that x(g) = 0.
-20, -4, -1, 1
Let g(v) be the first derivative of -v**4/30 + 76*v**3/15 - 219*v**2/5 + 648*v/5 + 5460. Suppose g(t) = 0. Calculate t.
3, 108
Let b be (-12 - -12)/((-2)/2). Factor -5 + 7 - 6 - j**2 + 5*j + b.
-(j - 4)*(j - 1)
Let i = 150734 + -150734. Solve 5/3*k**2 + i*k - 4/9*k**3 + 0 = 0.
0, 15/4
Let o be 7 - (-13 - 15/(-3)). Suppose o*w + 16 - 16 = 0. Factor -1/7*t**2 + 0*t + w + 1/7*t**3.
t**2*(t - 1)/7
Let r(b) be the third derivative of -88/5*b**4 - 1153/300*b**5 - 1/1050*b**7 - 512/15*b**3 + 142*b**2 + 0 - 11/100*b**6 + 0*b. Determine w, given that r(w) = 0.
-32, -1
Suppose -15/2 - 43/4*z - 7/2*z**2 - 1/4*z**3 = 0. Calculate z.
-10, -3, -1
Let h(c) be the first derivative of c**5/70 + 5*c**4/6 + 67*c**3/21 + 33*c**2/7 - 172*c + 238. Let k(y) be the first derivative of h(y). Factor k(t).
2*(t + 1)**2*(t + 33)/7
Let h be (-180)/90 + (-38)/(-9) - (-8)/(-18). Factor -4/3*m**2 + 2/9*m**4 + 2/9*m**3 - 8/9*m + h.
2*(m - 2)*(m - 1)*(m + 2)**2/9
Let z(d) be the first derivative of 22/3*d**4 + 161/18*d**2 + 56 - 47/3*d**3 + 16/45*d**5 - 2*d. Let z(h) = 0. What is h?
-18, 1/4, 1
Let w(n) = 45*n**4 - 180*n**3 + 235*n**2 - 110*n - 55. Let k(j) = -5*j**4 + 20*j**3 - 26*j**2 + 12*j + 6. Let o(z) = -55*k(z) - 6*w(z). Factor o(t).
5*t**2*(t - 2)**2
Factor 0*u + 0 + 1/5*u**5 - 16/5*u**2 + 4/5*u**4 - 4/5*u**3.
u**2*(u - 2)*(u + 2)*(u + 4)/5
Let c(y) be the second derivative of -y**8/2240 - y**7/280 - y**6/120 - 17*y**4/6 + 5*y**3/6 + 191*y + 1. Let h(v) be the third derivative of c(v). Factor h(i).
-3*i*(i + 1)*(i + 2)
Suppose 0 + 1/3*i**2 + 367/3*i = 0. Calculate i.
-367, 0
Let a be -35 - (-13 - 2132/91). Let 10/7*u**2 - 4/7 - a*u**3 - 6/7*u**4 + 10/7*u = 0. Calculate u.
-2, -1, 1/3, 1
Let n be (1*-20)/((-28)/6). Let s be (0 + 6)/42 - (-714)/(-4998). Factor 0*k + 3/7*k**3 + s - n*k**2.
3*k**2*(k - 10)/7
Let c(r) be the first derivative of -13/7*r**2 + 2/21*r**3 + 24/7*r + 19. Factor c(g).
2*(g - 12)*(g - 1)/7
Let o(n) be the second derivative of 0*n**5 - 1/8*n**3 + 2*n + 57 + 1/8*n**4 - 1/20*n**6 + 0*n**2 + 1/56*n**7. Factor o(u).
3*u*(u - 1)**3*(u + 1)/4
Let y = -31699 - -31702. Factor 0 - 13/4*r**y + 3/4*r + 5/2*r**2.
-r*(r - 1)*(13*r + 3)/4
Let m(a) be the second derivative of a**6/5 + 11*a**5/20 + 3*a**4/8 - 13*a**2 - 5*a + 7. Let c(g) be the first derivative of m(g). Factor c(q).
3*q*(q + 1)*(8*q + 3)
Let l be 0/(-1) - 0 - -2. Suppose h = l*h - 30. Factor -6*a**2 - 20*a + a**2 - h + 10.
-5*(a + 2)**2
Let r(l) = 496*l + 171. Let s(v) = -v**2 + 493*v + 172. Let f(y) = 4*r(y) - 3*s(y). Factor f(a).
(a + 168)*(3*a + 1)
Let i(q) be the first derivative of 24/5*q**2 - 4/15*q**6 - 16/5*q - 4/3*q**3 - 2*q**4 + 77 + 36/25*q**5. What is u in i(u) = 0?
-1, 1/2, 1, 2
Find g, given that 76/13*g - 2/13*g**2 - 144/13 = 0.
2, 36
Let u(f) = -53*f - 420. Let w be u(-8). Factor -8*s**3 + 0 - 1/2*s**w - 32*s**2 + 0*