4/20 - 1433*a**2. Factor t(x).
2*x*(x - 123)**3*(x + 1)/5
Let s(n) = -3*n**2 + 3*n + 3 + 9*n**2 + 0*n**2 - 2*n**2. Let x(r) = 4*r**2 + 4*r + 4. Let u(q) = -4*s(q) + 3*x(q). Factor u(v).
-4*v**2
Suppose 0 = -1987*r + 1991*r - 8. Determine d, given that -3/4*d**3 - 3/2*d**r + 3*d + 6 = 0.
-2, 2
Let y be (-22)/(-12) + 28*28/588. Let o(m) be the first derivative of -y*m**3 + 15/2*m**2 + 22 - 25/8*m**4 - 5/12*m**6 - 4*m + 27/10*m**5. Solve o(l) = 0.
-1, 2/5, 1, 4
Let c be 2/(4/(4 + -2)). Let w be -1 - c*2/(-2). Factor -6*j - j**2 + 0*j**2 + w*j - 2*j**2.
-3*j*(j + 2)
Suppose -807*m + 3 = -805*m - 7. Let j(k) be the third derivative of 11/120*k**m - 1/240*k**6 + 0*k - 3*k**3 - 2*k**2 - 6 - 1/2*k**4. What is l in j(l) = 0?
-1, 6
Let l be -4 - (2/6 + 408/(-36)). Suppose -72 = -l*n - 16. What is i in -35*i**4 + 20*i**2 + 40*i - 22*i**4 - 10*i**5 - 5*i**5 - n*i**4 - 70*i**3 = 0?
-2, -1, 0, 2/3
Let z be 25/30 + (-98)/(-84). Suppose -z*l = l + 4*l. Factor -3/2*h**3 - 3/2*h + l - 3*h**2.
-3*h*(h + 1)**2/2
Let m(i) be the first derivative of -i**4/6 - 158*i**3/9 + i**2/3 + 158*i/3 + 4002. Find w such that m(w) = 0.
-79, -1, 1
Let h(m) be the second derivative of m**6/10 - 21*m**5/20 - 10*m**4 - 22*m**3 - m + 13. What is l in h(l) = 0?
-2, 0, 11
Let p = -13/2878 + 25967/14390. Factor 9/5*i**2 - 4/5*i + p*i**3 - 4/5.
(i + 1)*(3*i - 2)*(3*i + 2)/5
Suppose 51*g + 10 = 5*l + 46*g, 5*l - 24 = -2*g. Let v(d) be the third derivative of 0*d**3 - 1/60*d**5 + 0*d**l + 26*d**2 + 0*d + 0. Factor v(j).
-j**2
Let x be ((-63)/15*-1)/((-3)/(-15)). Factor -15*g**2 - x*g + 184*g**4 + 21*g**3 - 166*g**4 - 2 - 1.
3*(g - 1)*(g + 1)**2*(6*g + 1)
Factor 704/7*o + 0 + 1040/7*o**2 + 76/7*o**4 + 72*o**3 - 2/7*o**5.
-2*o*(o - 44)*(o + 2)**3/7
Let v(y) be the first derivative of -1/6*y**3 + 1/2*y - 1/8*y**4 + 105 + 1/4*y**2. Factor v(m).
-(m - 1)*(m + 1)**2/2
Let q be 685/55 - 144/(-264). Let z(x) be the second derivative of 1/2*x**2 + 1/6*x**4 - q*x + 0 - 5/12*x**3 - 1/40*x**5. Factor z(v).
-(v - 2)*(v - 1)**2/2
Let k(z) be the first derivative of -1/10*z**5 - 16 + 5/24*z**4 + 1/9*z**3 + 0*z**2 + 0*z. Factor k(t).
-t**2*(t - 2)*(3*t + 1)/6
Suppose 99/4*o**2 - 21*o**3 + 84*o - 87 - 3/4*o**4 = 0. What is o?
-29, -2, 1, 2
Let v(u) be the second derivative of 3*u**4/2 + 20*u**3/3 + 15*u**2 + 58*u. Let b(q) = -2*q**2 - q. Let x(p) = 8*b(p) + v(p). Factor x(a).
2*(a + 1)*(a + 15)
Let m(b) = 18*b**2 - 646*b + 3613. Let i(h) = -3*h**2 + 107*h - 602. Let j(d) = -13*i(d) - 2*m(d). What is r in j(r) = 0?
8, 25
Let j be (4 - (-1 + -1))/(5 + -7). Let l be (-4 - (-10 - -6))/j. Solve 2/11*a**4 + l*a**2 + 0 + 2/11*a**5 + 0*a**3 + 0*a = 0 for a.
-1, 0
Let j(p) = -3*p**2 + 7*p - 9. Let i(t) = -2*t**2 + 6*t - 8. Let c(b) = 7*i(b) - 6*j(b). Let m be c(-1). What is d in 14/3*d + 2 + 10/3*d**m + 2/3*d**3 = 0?
-3, -1
Let u be (-2*15/(-36))/((-10)/14 - 1120/(-882)). Factor 540*l - 117/2*l**2 + u*l**3 + 600.
3*(l - 20)**2*(l + 1)/2
Let y(x) be the first derivative of -x**6/45 + x**5/60 + x**4/18 - x**3/18 + 4*x + 24. Let w(b) be the first derivative of y(b). Let w(u) = 0. Calculate u.
-1, 0, 1/2, 1
Let v(u) be the first derivative of -42 - 55/14*u**2 + 13/21*u**3 + 75/7*u - 1/28*u**4. Factor v(b).
-(b - 5)**2*(b - 3)/7
Let o(q) be the third derivative of 1/6*q**4 - 70*q**2 - 8/3*q**3 + 1/30*q**5 + 0 + 3*q. Factor o(i).
2*(i - 2)*(i + 4)
Let r(b) be the first derivative of 5*b**6/24 + b**5/2 - 45*b**4/16 - 5*b**3/6 + 5*b**2 - 798. What is x in r(x) = 0?
-4, -1, 0, 1, 2
Find v, given that 356445/2 - 1335*v + 5/2*v**2 = 0.
267
Let q(x) be the second derivative of x**6/450 - 11*x**5/150 + 3*x**4/5 + 23*x**3/2 - x + 26. Let z(j) be the second derivative of q(j). Factor z(d).
4*(d - 9)*(d - 2)/5
Factor -6*s**2 + 1/2*s**4 - 29/2*s**3 + 166*s + 232.
(s - 29)*(s - 4)*(s + 2)**2/2
Suppose 2*n + 220 = -2*n. Let l = -53 - n. Suppose -7*r**l + 5*r**4 + 17 - 6*r**3 + 5*r + 16*r**3 - 16 + 17*r**2 + r**5 = 0. What is r?
-1
Factor -1/4*q**3 + 6038510661/4 - 9948123/4*q + 5463/4*q**2.
-(q - 1821)**3/4
Let v(s) be the third derivative of -s**6/300 - 573*s**5/50 - 328329*s**4/20 - 62710839*s**3/5 - 6*s**2 - 134*s. Factor v(i).
-2*(i + 573)**3/5
Suppose -50*h + 4 = m - 54*h, 29 = 4*m - 3*h. Let d(f) be the second derivative of m*f + 0*f**5 + 0*f**3 + 2/75*f**6 + 0 - 1/15*f**4 + 0*f**2. Solve d(v) = 0.
-1, 0, 1
Suppose 20 = 17864*x - 17860*x - 5*p, x + 20 = -5*p. Factor 32/5*c**5 + 18/5*c**3 + 2/5*c**2 + 0*c + x + 48/5*c**4.
2*c**2*(c + 1)*(4*c + 1)**2/5
Let w(i) be the second derivative of -i**5/30 + 109*i**4/12 - 269*i**3/6 + 161*i**2/3 - 96*i + 2. What is d in w(d) = 0?
1/2, 2, 161
Let q(g) = -g + 68. Let f be q(7). Suppose -s - s**4 + f*s**3 + s - 62*s**3 = 0. Calculate s.
-1, 0
Determine k, given that -2/11*k**3 - 57798/11*k + 62*k**2 - 58482/11 = 0.
-1, 171
Let f(t) be the third derivative of -289/48*t**3 + 99*t**2 + 0 - 1/960*t**6 - 85/64*t**4 + 11/160*t**5 + 0*t. Factor f(u).
-(u - 17)**2*(u + 1)/8
Let p = 151 - 123. Let 484 - 66*c + 22*c - p*c**2 + 29*c**2 = 0. Calculate c.
22
Let d(s) be the third derivative of 2*s**7/525 - 43*s**6/100 + 31*s**5/75 + 43*s**4/20 - 64*s**3/15 + 1103*s**2. Solve d(b) = 0 for b.
-1, 1/2, 1, 64
Let h(p) be the second derivative of 0 - 3/7*p**2 + 1/21*p**4 - 1/42*p**3 + 72*p - 1/140*p**5. Determine d, given that h(d) = 0.
-1, 2, 3
Let u(l) be the third derivative of -13*l**6/60 + 23*l**5/15 - 7*l**4/3 - 8*l**3 + 5*l**2 - 78. Suppose u(k) = 0. What is k?
-6/13, 2
Suppose -2*l + 7*l - 35 = 0. Let d(t) = -4*t + 31. Let u be d(l). Factor -12*x**2 + 15*x**2 + u*x**3 + 6 + 9*x**2 + 15*x.
3*(x + 1)**2*(x + 2)
Let q(m) be the second derivative of -2/3*m**4 + 10*m - 1/10*m**5 + 0*m**3 + 8 + 0*m**2 + 1/30*m**6. Factor q(i).
i**2*(i - 4)*(i + 2)
Suppose -2*c + 4 = -c + z, 0 = 4*c - 3*z - 16. Let j(m) = -19*m**3 + 20*m**2 - 4*m + 4. Let s(h) = 2*h**3 + h**2 - 1. Let g(n) = c*s(n) + j(n). Factor g(b).
-b*(b - 2)*(11*b - 2)
Let y(w) be the first derivative of -6*w**2 - 15/4*w**4 + 0*w + 69 + 3/5*w**5 + 8*w**3. Let y(r) = 0. What is r?
0, 1, 2
Suppose 22*w = 17*w - 20, -w - 88 = -3*s. Let p be (4/14 - 4/s) + 1. Factor 0 - 82/7*x**2 - p*x**3 - 20/7*x.
-2*x*(x + 10)*(4*x + 1)/7
Let c(m) be the second derivative of -1/294*m**7 - 32/21*m**3 + 8/7*m**4 + 82*m - 13/35*m**5 + 2/35*m**6 + 0 + 0*m**2. Find i, given that c(i) = 0.
0, 2, 4
Let j = -315561 - -315564. Factor 0*a + 26/3*a**j - 16/3*a**4 + 0 + 2/3*a**5 - 4*a**2.
2*a**2*(a - 6)*(a - 1)**2/3
Let x = 740186/5 + -148034. Factor 28/5*o - 16*o**2 - x*o**4 + 72/5*o**3 + 0 - 4/5*o**5.
-4*o*(o - 1)**3*(o + 7)/5
Let v(q) = -q**3 - 53*q**2 - 100*q + 104. Let i(r) = r**3 - 21*r**2 + 31*r + 82. Let t be i(19). Let y be v(t). Factor 5/3*c**y + 5/3*c**3 - 5/3*c - 5/3.
5*(c - 1)*(c + 1)**2/3
Let l(q) be the second derivative of q**4/12 - 3*q**3 - 17*q**2/2 + 4*q. Let p be l(19). Determine m, given that 2*m**2 + 7*m - 6*m**2 + 6 + m**p - 4*m = 0.
-1, 2
Let r = -4/231071 - -1386446/1155355. Let 9/5*q + r - 3/5*q**3 + 0*q**2 = 0. Calculate q.
-1, 2
Let d(t) be the third derivative of t**8/2016 - t**7/1260 - 19*t**6/360 + 11*t**5/36 - 107*t**4/144 + 35*t**3/36 + 1331*t**2. Factor d(w).
(w - 5)*(w - 1)**3*(w + 7)/6
Let q = -8691475123032658/47765 + 181963260200. Let v = q - 2/9553. Determine u, given that 144/5*u**2 + v + 4/5*u**4 - 136/5*u - 56/5*u**3 = 0.
1, 11
Let o(y) = -y**2 - 12*y - 15. Let b be o(-10). Suppose b*p - 30 = -4*v, -3*p - 3*v = -0 - 21. Suppose -52 + 13*a**p - 44*a - 3*a**2 + 68 = 0. Calculate a.
2/5, 4
Let v(a) be the first derivative of -a**6/630 - 3*a**5/35 + 25*a**3 + 153. Let w(k) be the third derivative of v(k). Let w(f) = 0. What is f?
-18, 0
Let p(d) be the third derivative of -d**6/240 + 3*d**5/40 + 4*d**4/3 - 13*d**3 + d**2 + 3*d - 6. Suppose p(j) = 0. Calculate j.
-6, 2, 13
Solve -18*a**3 + 24*a**2 + 320*a - 5*a**4 + 69*a**2 + 241*a**2 + 73*a**3 + 46*a**2 = 0 for a.
-4, -1, 0, 16
Let x(s) be the first derivative of -s**4/2 - 46*s**3/3 + 190*s**2 + 928*s + 714. Factor x(w).
-2*(w - 8)*(w + 2)*(w + 29)
Let t be 54/(-4)*(-9)/((-18)/(-4)). Suppose -22*h = -t*h. Factor -15/7*w + h + 3/7*w**2.
3*w*(w - 5)/7
Let a(n) = 2*n**3 - 2*n**2 + 4101*n - 8206. Let c be a(2). Suppose 4/3*z - 1/3*z**c + 11/9*z**2 + 4/9 + 1/9*z**3 - 1/9*z**5 = 0. Calculate z.
-