et u(o) = -3*o**2 + 933*o - 920. Let f(k) = p(k) + u(k). What is y in f(y) = 0?
1, 309
Let q(t) be the third derivative of t**7/630 + 23*t**6/360 + 157*t**5/180 + 17*t**4/8 - 63*t**3 - 110*t**2 + 2. Factor q(w).
(w - 2)*(w + 7)*(w + 9)**2/3
Let v(b) be the first derivative of -20 - 2/27*b**3 + 0*b + 2/9*b**2. Factor v(o).
-2*o*(o - 2)/9
Suppose -5*k + 116 = 2*m, -3*m - 106 = -3*k - 28. Let v(z) be the third derivative of -k*z**2 + 0*z**3 + 0 + 0*z - 7/12*z**4 - 1/30*z**5. What is g in v(g) = 0?
-7, 0
Let o = 16589/69 + -74941/345. Suppose o - 116/5*y**2 + 2/5*y - 2/5*y**3 = 0. Calculate y.
-58, -1, 1
Solve 31/10*u + 33/10*u**2 - 1/5 = 0 for u.
-1, 2/33
Let h(o) be the first derivative of 2*o**6/39 + 6*o**5/65 - 5*o**4/13 - 8*o**3/13 + 8*o**2/13 + 151. Suppose h(a) = 0. What is a?
-2, 0, 1/2, 2
Let a(w) be the third derivative of w**7/840 - w**6/480 - w**5/240 + w**4/96 + 34*w**2 + 8. Factor a(k).
k*(k - 1)**2*(k + 1)/4
Let d = -465 + 471. Let s(g) = 19*g**2 + 13*g + 9. Let k(m) = 60*m**2 + 38*m + 28. Let f(b) = d*k(b) - 20*s(b). Solve f(v) = 0.
-1, -3/5
Factor 3 - 6309/2*b**2 + 6303/2*b.
-3*(b - 1)*(2103*b + 2)/2
Let 32 - 2/3*o**2 + 16/3*o = 0. What is o?
-4, 12
Let u(j) = -j**3 - 28*j**2 - 14*j - 372. Let r be u(-28). Let s(q) be the first derivative of 19 - r*q - 2*q**2 - 1/15*q**3. What is a in s(a) = 0?
-10
Let s(r) be the second derivative of r**6/70 + 3*r**5/7 + 9*r**4/14 - 10*r**3/7 - 57*r**2/14 + 194*r - 2. Solve s(f) = 0.
-19, -1, 1
Let s be ((-31)/(-12) - (-2)/(-8)) + -668 + 667. Suppose -10*h**2 + 22*h**3 + 0 - 40/3*h**4 + s*h = 0. What is h?
0, 1/4, 2/5, 1
Let o be 8*(-210)/720*(-68)/42. Suppose -2 + 2/9*w**3 - o*w - 14/9*w**2 = 0. What is w?
-1, 9
Let u = -675 - -720. Let c be 95/20 + (-1)/(-4). Factor -38*o**2 + u - 13*o - c*o**3 + 8*o + 13*o**2 - 10*o.
-5*(o - 1)*(o + 3)**2
Let f = -287261/33 - -8705. Let u(m) be the third derivative of 0*m**4 + 7/330*m**5 + 5*m**2 + 0*m - f*m**3 + 0 + 1/220*m**6. Suppose u(j) = 0. What is j?
-2, -1, 2/3
Let d be 0*(-22)/(-308)*(9 + 56/(-6)). Factor 1/3*c**2 + 1/3*c + d.
c*(c + 1)/3
Let t be 1/(-3)*(3 - (4095/(-100))/(-13)). Let k(d) be the second derivative of -1/120*d**4 + 0 - t*d**3 - 32*d + 0*d**2. Determine s so that k(s) = 0.
-3, 0
Let x be 254/(-3556) + (2 - (-69)/(-63)). Let s be ((-2)/4)/((-6)/4). Determine c so that -1/6*c**3 - x*c**2 + 0 + 1/3*c**4 - s*c = 0.
-1, -1/2, 0, 2
Let k(x) be the third derivative of x**5/300 + 29*x**4/24 + 1042*x**2. Factor k(f).
f*(f + 145)/5
Let n(f) = f**2 - 29*f + 191. Let y be n(10). Let k be -5*y/(-1)*1386/6545. Factor 26/17*d**2 + k + 48/17*d + 4/17*d**3.
2*(d + 3)**2*(2*d + 1)/17
Factor 0*t + 0 + 0*t**2 - 57/4*t**4 - 3/4*t**5 - 45*t**3.
-3*t**3*(t + 4)*(t + 15)/4
Let s be (-2)/(-21)*-6 - (-4)/7. Suppose s = -3*p - 6*p + 18. Let 2*q**3 + 4389 - 3*q**4 - 4388 + p*q**4 - 2*q = 0. What is q?
-1, 1
Let k(x) be the third derivative of x**6/600 - 11*x**5/60 - 7*x**4/15 + 871*x**2 - 1. Factor k(n).
n*(n - 56)*(n + 1)/5
Let n(c) = -36*c**2 + 220*c - 616. Let v(z) = 7*z**2 - 44*z + 123. Let g = -74 + 90. Let m(a) = g*v(a) + 3*n(a). Find y such that m(y) = 0.
5, 6
Let t(o) be the first derivative of -20*o**3 - 30*o - 5/12*o**4 + 17 - 360*o**2. Let u(k) be the first derivative of t(k). Let u(g) = 0. Calculate g.
-12
Let j(z) be the second derivative of -z**6/10 - 69*z**5/20 - 11*z**4/2 - 158*z. Factor j(x).
-3*x**2*(x + 1)*(x + 22)
Let p = 4964 + -4961. Let t(h) be the first derivative of 2*h**2 + 0*h - 4/3*h**p + 26. Factor t(g).
-4*g*(g - 1)
Solve -3/2*v**2 + 0 + 12*v = 0.
0, 8
Let d = -618607/8 - -77372. Factor -27/8*y**3 + 66*y + 45/2 + d*y**2.
-3*(y - 15)*(3*y + 2)**2/8
Let v(r) be the third derivative of -264*r**2 + 0 + 16/15*r**3 - 2/75*r**5 - 14/15*r**4 + 7/150*r**6 + 0*r. Determine j so that v(j) = 0.
-2, 2/7, 2
Let i(q) = -1250*q - 37496. Let d be i(-30). Suppose -4/3*n**d - 4/3 + 11/3*n**3 + n**2 - 16/3*n = 0. What is n?
-1, -1/4, 2
Let x(p) be the second derivative of -19/2*p**3 - 6*p - 10 + 57/20*p**5 + 0*p**2 + 1/10*p**6 - 1/4*p**4. Factor x(g).
3*g*(g - 1)*(g + 1)*(g + 19)
Let o(r) be the first derivative of -2*r**6/105 - r**5/7 + r**4/21 + 10*r**3/21 - 61*r - 17. Let p(y) be the first derivative of o(y). Factor p(l).
-4*l*(l - 1)*(l + 1)*(l + 5)/7
Let 502*g**2 + 7*g**3 - 503*g**2 - g**4 - 5*g**3 = 0. What is g?
0, 1
Let h(b) be the third derivative of -11/2*b**3 - 22*b - 5/4*b**4 + 0 - b**2 + 1/20*b**5. Factor h(d).
3*(d - 11)*(d + 1)
Let c(d) = -2*d**2 - 3*d - 1. Let o(y) = 2*y + 15. Let b(q) = q + 7. Let u(v) = 13*b(v) - 6*o(v). Let j = -18 + 19. Let s(l) = j*c(l) + 5*u(l). Factor s(z).
-2*(z - 2)*(z + 1)
Let p(n) = -3*n**3 - 17*n**2 - 9*n + 17. Let k be p(-5). What is j in 22*j - 2*j - 33*j**2 + 15*j**3 + k*j**2 - 5*j**5 + 8*j**4 + 2*j**4 - 19*j**2 = 0?
-2, 0, 1, 2
Let y(o) be the second derivative of -7*o**5/40 + 101*o**4/48 - 161*o**3/24 + 15*o**2/4 - 708*o. Suppose y(c) = 0. Calculate c.
3/14, 2, 5
Let x be 14/2 - (56/(-8) + 7). Let w(j) = 4*j**2 + 201*j + 2690. Let b(p) = 2*p**2 + 100*p + 1344. Let o(z) = x*b(z) - 4*w(z). Factor o(u).
-2*(u + 26)**2
Suppose 1890 = 34*b + 36*b. Let j(r) be the second derivative of -14/3*r**2 + b*r + 0 + 1/6*r**4 + 19/9*r**3. Factor j(w).
2*(w + 7)*(3*w - 2)/3
Let x(w) = -3*w**2 + 356*w - 347*w + 0*w**2. Let y(l) = -2*l**2. Let p(a) = -x(a) + 3*y(a). Factor p(b).
-3*b*(b + 3)
Let h(r) be the second derivative of -4*r**6/15 - r**5 + 8*r**4/3 + 34*r**3/3 + 12*r**2 - 2552*r. Solve h(b) = 0 for b.
-3, -1, -1/2, 2
Let p(m) be the third derivative of 0*m - 57 + 17/56*m**4 - 4*m**2 + 1/140*m**5 + 0*m**3. Factor p(g).
3*g*(g + 17)/7
Suppose -8*z + 13*z = 45. Let p be ((-33)/z)/11*-9. Find t such that 2/5*t**5 + 0 - 8/5*t**4 + 2*t + 8/5*t**2 - 12/5*t**p = 0.
-1, 0, 1, 5
Let c = 1322/5 + -2641/10. Let q be (-12)/80*(-4)/6. Factor 1/5 - c*g + q*g**2.
(g - 2)*(g - 1)/10
Let j(y) be the third derivative of -5/8*y**4 - 1/120*y**5 + 0*y - 4 - 75/4*y**3 - 38*y**2. Factor j(a).
-(a + 15)**2/2
Factor 1/3*v**2 + 32/3 + 6*v.
(v + 2)*(v + 16)/3
Let p = 89/426 - -35/852. Factor -1/2*a**2 + 0*a**3 - 1/4*a + 0 + p*a**5 + 1/2*a**4.
a*(a - 1)*(a + 1)**3/4
Let j(n) be the third derivative of -n**5/25 + 1029*n**4/40 - 257*n**3/10 - 245*n**2. Suppose j(p) = 0. Calculate p.
1/4, 257
Let w(l) be the third derivative of l**7/1995 - 2*l**6/57 + l**5/15 + 10*l**4/57 - 13*l**3/19 + 3084*l**2 + 1. Suppose w(x) = 0. What is x?
-1, 1, 39
Suppose -16 = -4*a - 4*a. Determine p, given that 6*p**2 - 7*p**2 + p**3 - a*p**2 + 6*p**2 = 0.
-3, 0
Let l(v) = -508*v + 78. Let g be l(-4). Factor 7*r**3 - 2097*r**2 + 5*r**3 + g*r**2 - r**4.
-r**2*(r - 13)*(r + 1)
Suppose -4*j - 62 + 1051 = -5*s, -2*j + 467 = 3*s. Determine h, given that 123*h**2 - j*h**2 + 120*h**2 + 2*h = 0.
-1, 0
Let p(i) be the third derivative of 0*i**3 + 0*i + 3 + 11*i**2 + 1/45*i**5 - 35/18*i**4. Factor p(n).
4*n*(n - 35)/3
Find w, given that 311*w - 66622*w**3 + 17*w + 66506*w**3 + 4748*w**2 = 0.
-2/29, 0, 41
Let t(w) be the second derivative of w**4/6 + 68*w**3/3 + 132*w**2 - 432*w. Suppose t(b) = 0. Calculate b.
-66, -2
Let w be 132/32*74*(-4)/(-6). Let x = w - 199. Factor -1/2*j**5 - 3/2*j**3 + 0 + 0*j - 5/2*j**4 + x*j**2.
-j**2*(j - 1)*(j + 3)**2/2
Suppose -4328*d + 13416 = -3210*d. Find w, given that -9/2 - 28*w**3 - 49/2*w**4 + 13*w**2 + d*w = 0.
-1, 3/7
Let q = -1794557/6 + 299093. Suppose 1/3*z**2 - 1/6*z + q*z**3 - 1/4*z**4 - 1/12 = 0. Calculate z.
-1, -1/3, 1
Let t(u) be the first derivative of 7*u**6/4 - 9*u**5 + 45*u**4/8 + 20*u**3 - 9*u**2 + 1931. Suppose t(x) = 0. Calculate x.
-1, 0, 2/7, 2, 3
Let a = 715 - 712. Factor -3*g**2 + 6*g + 2*g**2 + 6*g**2 + 3*g**2 - 14*g**a.
-2*g*(g - 1)*(7*g + 3)
Let b(i) be the third derivative of -i**5/15 + 49*i**4/3 - 4802*i**3/3 + 402*i**2. Determine y, given that b(y) = 0.
49
Let j = 386 - 383. Factor k**4 + 5*k**5 + 39*k**4 - 200*k**3 + 275*k**j - 40*k**2 - 45*k - 35*k.
5*k*(k - 1)*(k + 1)*(k + 4)**2
Let f = -93/25 + 962/225. Let g(k) be the first derivative of 5/9*k**4 + f*k**2 + 20/27*k**3 + 2/9*k**5 - 25 + 1/27*k**6 + 2/9*k. What is s in g(s) = 0?
-1
Solve 3111*k + 447*k - 47*k + 5*k**2 - 331*k = 0.
-636, 0
Let -134/5*t**2 - 14/3*t**3 + 80/3 + 2/15*t**4 + 14/3*t = 0. Calculate t.
-5, -1, 1, 40
Determine o, given that 1/3*o**2 -