 s**6/5 + s**4/2 + s**3/2 + 1146*s. Suppose w(v) = 0. Calculate v.
-1, 0, 1
Let v(c) = -16*c**3 + 1548*c**2 + 6*c - 1558. Let q(s) = -5*s**3 + 515*s**2 + 2*s - 518. Let a(z) = -10*q(z) + 3*v(z). Determine w so that a(w) = 0.
-1, 1, 253
Let c(h) be the third derivative of 1/210*h**6 + 0*h + 1/35*h**5 - 1/42*h**4 + 0 - 2/7*h**3 - 53*h**2. Factor c(x).
4*(x - 1)*(x + 1)*(x + 3)/7
Let z(w) be the first derivative of w**6/8 - 3*w**4 - 19*w**3/2 - 99*w**2/8 - 15*w/2 + 235. Factor z(x).
3*(x - 5)*(x + 1)**3*(x + 2)/4
Suppose 2*r + 4*i + 14 = 0, 3*r = 3*i + 38 - 14. What is u in 338*u**2 + 6 - 3*u + 0*u + 338*u**2 + r*u**3 - 682*u**2 = 0?
-1, 1, 2
Let o(w) = 6*w - 24. Let n be o(3). Let c be 4/(-5) + n/(-6). Factor 0 - 1/5*h**3 - c*h**2 + 0*h + 1/5*h**5 + 1/5*h**4.
h**2*(h - 1)*(h + 1)**2/5
Find y, given that 107 + 829 - 2408*y - 14*y**5 - 594*y**3 + 7*y**4 + 19*y**4 + 16*y**5 + 1370*y**2 + 668*y**2 = 0.
-26, 1, 2, 9
Let y(l) be the third derivative of -1/60*l**6 - 10*l**2 - 1/10*l**5 + 0 - 1/3*l**3 + 0*l - 1/4*l**4. Let y(d) = 0. Calculate d.
-1
Factor -18 - 21/2*a - 3/2*a**2.
-3*(a + 3)*(a + 4)/2
Let k(l) be the first derivative of 0*l + 3*l**2 - 54 - 3/8*l**4 + 0*l**3. Suppose k(v) = 0. What is v?
-2, 0, 2
Let y(a) = -15*a**2 + 41*a + 1. Let v(d) = -30*d**2 + 81*d - 19. Let i(l) = 3*v(l) - 7*y(l). Determine c, given that i(c) = 0.
-16/15, 4
Let u(k) = 50*k + 1754. Let f be u(-35). Let b(h) be the first derivative of 2 + 3/2*h**2 - h + 1/3*h**3 - 3/4*h**f. Factor b(d).
-(d - 1)*(d + 1)*(3*d - 1)
Let w(d) = 5*d**3 - 25*d + 20. Let y = 6190 + -6185. Let c(j) = j + 3*j**2 - 2*j**2 + 5*j**3 + 20 - 27*j. Let r(k) = y*c(k) - 6*w(k). Factor r(b).
-5*(b - 2)*(b - 1)*(b + 2)
Let i(d) be the first derivative of d**6/16 + 9*d**5/40 - 129*d**4/32 - 279*d**3/8 - 891*d**2/8 - 162*d + 942. Factor i(w).
3*(w - 8)*(w + 2)*(w + 3)**3/8
Let f = 254 + -251. Find q such that -12*q**2 - 80*q + 8*q**2 - 4*q**5 + 36*q**f + 8*q**2 + 48 - 4*q**4 = 0.
-3, -2, 1, 2
Let n(z) be the first derivative of -8/33*z**3 - 1/22*z**4 + 5/11*z**2 - 22 + 0*z. Factor n(a).
-2*a*(a - 1)*(a + 5)/11
Let j(m) be the third derivative of 0*m + 3/8*m**6 + 56*m**2 + 0 - 1/42*m**7 - 23/12*m**5 + 30*m**3 + 5/8*m**4. Factor j(c).
-5*(c - 4)*(c - 3)**2*(c + 1)
Let v(s) be the second derivative of 1/8*s**4 + 1/40*s**5 + 0*s**3 + 0*s**2 + 7 - 1/20*s**6 - 1/84*s**7 + 7*s. Let v(j) = 0. What is j?
-3, -1, 0, 1
Let l(a) be the first derivative of 0*a + 3/8*a**4 - a**3 + 3/10*a**5 - 5 + 0*a**2. Let l(t) = 0. What is t?
-2, 0, 1
Let m(o) be the second derivative of 1/72*o**4 + 0*o**3 - 2 - 137*o - 4/3*o**2. Let m(a) = 0. What is a?
-4, 4
Let s(m) be the second derivative of -m**6/180 + m**5/40 - m**3/9 - 1430*m. Factor s(y).
-y*(y - 2)**2*(y + 1)/6
Let s(a) = -a**3 + a**2 - 1. Let d(x) = -5*x**4 + 88*x**3 - 403*x**2 + 560*x - 242. Let c(m) = d(m) - 2*s(m). Let c(r) = 0. What is r?
1, 4, 12
Let w(j) be the third derivative of -j**7/105 - 35*j**6/24 + 89*j**5/20 - j**4/24 - 89*j**3/6 + 484*j**2 - 5*j. Let w(o) = 0. What is o?
-89, -1/2, 1
Factor 2/3*f**4 - 6*f**3 + 14/3*f**2 - 16/3 + 6*f.
2*(f - 8)*(f - 1)**2*(f + 1)/3
Let d(b) = 68*b**2 - 3*b - 2. Let f be d(-1). Let j be 12/30 + (2 - f/(-15)). Solve 7*s**4 + 3*s**4 - 10*s - j*s**2 + 32*s**2 - 5*s**4 - 20*s**3 = 0 for s.
0, 1, 2
Factor 0*h**2 - 2*h**2 + 108 + 5*h**2 + 950 - 327*h - 104.
3*(h - 106)*(h - 3)
Factor 0 + 176/3*g**2 - 58/3*g - 157/6*g**3 + 5/6*g**4.
g*(g - 29)*(g - 2)*(5*g - 2)/6
Let f = 3992/9711 + 36/1079. Let x(c) be the first derivative of 1 + 2/45*c**5 + 0*c + 1/6*c**4 + 0*c**3 - f*c**2. Solve x(d) = 0.
-2, 0, 1
Let u(j) be the second derivative of -j**4/96 - 121*j**3/24 - 241*j**2/16 - 2044*j. Factor u(a).
-(a + 1)*(a + 241)/8
Let y(h) be the second derivative of -h**7/945 - h**6/540 + 2*h**5/135 + h**4/27 - 19*h**2 + h - 31. Let t(o) be the first derivative of y(o). Factor t(v).
-2*v*(v - 2)*(v + 1)*(v + 2)/9
Let c be (-3)/(-21) + (-287)/41 + 152/14. Let b(i) be the first derivative of 8/3*i + 14*i**2 + 343/12*i**c + 98/3*i**3 - 1. Factor b(a).
(7*a + 2)**3/3
Let l be 10/(-25) + 9/(-15). Let r = 13 - l. Find y, given that 5 - y**2 - 7 - r + 24*y + 0*y**4 - y**4 - 6*y**3 = 0.
-4, 1
Solve 0 - 57/8*r - 15/2*r**2 - 3/8*r**3 = 0.
-19, -1, 0
Let u be (-23115)/(-825) - 27 - (40/22 - (-6 - -8)). What is g in 2/5*g**5 + u - 2/5*g**4 - 12/5*g**3 + 28/5*g**2 - 22/5*g = 0?
-3, 1
Factor -3354 - 290*w**2 - 5*w**4 + 3354 + 156*w**3 - w**3.
-5*w**2*(w - 29)*(w - 2)
Let s(h) be the second derivative of 1/2*h**2 - 2 + 5/6*h**3 - 6*h + 1/6*h**6 + 5/6*h**4 + 1/2*h**5 + 1/42*h**7. Let s(n) = 0. Calculate n.
-1
Suppose -40905 = -19*i - 40430. Factor 5/4*b**4 + 195/2*b**2 + 605/4 + i*b**3 - 275*b.
5*(b - 1)**2*(b + 11)**2/4
Let d(h) be the third derivative of -h**5/12 - 335*h**4/24 + 115*h**3 - 1044*h**2. Suppose d(n) = 0. What is n?
-69, 2
Let v(t) be the second derivative of 0*t**3 + 0 + 168*t - 1/12*t**4 + 25/2*t**2. Factor v(g).
-(g - 5)*(g + 5)
Let i = -1473119/330 + 4464. Let z(w) be the third derivative of 0 + 1/132*w**4 + 11*w**2 + 2/33*w**3 + 0*w - i*w**5. Factor z(l).
-2*(l - 2)*(l + 1)/11
Let w(s) be the first derivative of 15 + 39/14*s**2 - 1/7*s**3 - 66/7*s. Determine i, given that w(i) = 0.
2, 11
Let j(v) be the second derivative of v**7/1680 - v**6/15 + 16*v**5/5 + 11*v**4/3 - 2*v. Let w(u) be the third derivative of j(u). Find o such that w(o) = 0.
16
Let k(n) be the first derivative of 9*n**4/32 + 3991*n**3/8 + 3984015*n**2/16 + 1326675*n/8 + 287. Factor k(u).
3*(u + 665)**2*(3*u + 1)/8
Determine l so that -933*l**4 - 4*l**2 - l + 20*l**3 + l + 917*l**4 = 0.
0, 1/4, 1
Let y(a) be the second derivative of 4*a**5/35 - 295*a**4/7 - 4934*a**3/21 + 192*a**2 + 11434*a. Solve y(g) = 0.
-3, 1/4, 224
Let c(o) be the first derivative of -o**3/18 - 2*o**2 - 18*o - 549. Factor c(k).
-(k + 6)*(k + 18)/6
Factor -9 + 1/8*r**3 - 9/8*r + r**2.
(r - 3)*(r + 3)*(r + 8)/8
Let v(m) be the third derivative of -2 - 1/350*m**7 + 5*m**2 + 0*m**3 + 0*m + 1/75*m**6 + 1/60*m**5 - 1/20*m**4. Solve v(n) = 0.
-1, 0, 2/3, 3
Suppose p - 16 = t - 10, -2*p = t - 9. Let c be (-7*(-14)/(-686))/(t/1). Determine z so that c*z**2 - 2/7 - 1/7*z = 0.
-1, 2
Suppose -40 - 15 = -z. Factor -26*f + 30*f - 140*f**2 - 4*f**3 + z + 85.
-4*(f - 1)*(f + 1)*(f + 35)
Let l(g) be the first derivative of 5*g**5/3 - 9*g**4/8 + g**3/18 + 4538. Factor l(t).
t**2*(2*t - 1)*(25*t - 1)/6
Let n(p) be the first derivative of -57*p**4/28 - 229*p**3/21 - 116*p**2/7 - 4*p/7 + 60. Factor n(v).
-(v + 2)**2*(57*v + 1)/7
Solve 7/8*y**3 - 3 - 7/2*y + 1/4*y**2 + 1/8*y**4 = 0 for y.
-6, -2, -1, 2
Suppose -148*h**2 + 1168 - 113*h**2 + 257*h**2 + 276*h = 0. Calculate h.
-4, 73
Let o be ((-22)/(-396))/(16/40*(-5)/(-3)). Let j(v) be the first derivative of 1/10*v**5 + o*v**6 + 0*v - 16 - 5/6*v**3 - 1/2*v**2 - 3/8*v**4. Factor j(f).
f*(f - 2)*(f + 1)**3/2
Let v(u) = -u**3 - 16*u**2 - 16*u - 13. Let h be v(-15). Factor 0*a**4 - 93*a**3 + a**4 + 4*a**4 + 50*a + 209*a**3 + 85*a**h - 76*a**3.
5*a*(a + 1)*(a + 2)*(a + 5)
Let z(a) be the first derivative of -a**4/4 + a**3 + 54*a - 24. Let p(l) be the first derivative of z(l). Factor p(x).
-3*x*(x - 2)
Let u = 35144 - 35142. Factor 2/5*g - 2/5 + 2/5*g**u - 2/5*g**3.
-2*(g - 1)**2*(g + 1)/5
Let w(b) be the first derivative of b**5/30 - 5*b**4/24 - 3*b**3/2 + 27*b**2/4 + 45*b + 3430. Factor w(j).
(j - 6)*(j - 5)*(j + 3)**2/6
Let u(b) = 9*b**2 + 2003*b - 4303. Let c(s) = -3*s**2 - 667*s + 1436. Let f(q) = -29*c(q) - 10*u(q). Factor f(g).
-3*(g - 2)*(g + 231)
Let s(g) = -4*g - 9. Let v be s(-2). Let z be (6*(4 - 3)*v)/(-2). Factor 3*h**z - 20*h**2 - 5*h**3 + 5*h - 4*h**3 + h**3 + 20.
-5*(h - 1)*(h + 1)*(h + 4)
Let i(m) = m**3 + 13*m**2 - m - 10. Let n be i(-13). Suppose 3*f + a = 15, 7*a - 2*a - 3 = n*f. Factor -18*j**3 + 4*j**f + 14*j**3 + 8*j**2 + 16*j**3.
4*j**2*(j + 1)*(j + 2)
Solve -272*o**4 + 35*o + 389*o + 272*o**2 - 121*o**4 + 102*o**4 - 16*o**5 + 84 - 65*o**4 - 408*o**3 = 0 for o.
-21, -1, -1/4, 1
What is p in -10034*p**2 + 6054*p + 10038*p**2 + 10266*p + 16646400 = 0?
-2040
Let a(y) be the first derivative of 3*y**4/4 - 474*y**3 + 1419*y**2/2 - 628. Determine x so that a(x) = 0.
0, 1, 473
Let a be 6/10*(213/77 - (24/(-264) - 0)). Factor 0 - 2/7*i**2 - a*i.
-2*i*(i + 6)/7