i) = 0?
-136, 1
Let i = -409 - -409. Let u(l) be the third derivative of 1/8*l**4 - 1/40*l**6 + 0*l + 3*l**2 - l**3 + 1/10*l**5 + i. Factor u(k).
-3*(k - 2)*(k - 1)*(k + 1)
Let n = -1989 + 1991. Let s(h) be the first derivative of 2/33*h**3 + 3/11*h**n + 4/11*h - 17. Factor s(z).
2*(z + 1)*(z + 2)/11
Let h(g) = 2*g**2 + 380*g + 5250. Let x be h(-15). Factor 0*o**2 - 4/9*o**5 + 0*o + 0 + x*o**3 - 4/9*o**4.
-4*o**4*(o + 1)/9
Let l = -97 - -100. Suppose -5*w = -2*q - 25, -l*w + 0 = q + 18. Let a(r) = -r + 1. Let f(g) = 5*g**2 + 35*g + 5. Let o(y) = q*a(y) - f(y). Factor o(v).
-5*(v + 2)**2
Let k = -157/3 + 675/13. Let r = k - -254/429. Factor -r*g**3 + 2/11*g - 2/11*g**2 + 2/11.
-2*(g - 1)*(g + 1)**2/11
Let m(w) be the third derivative of -w**4 - 15/2*w**3 - 3 - 1/20*w**5 + 24*w**2 + 0*w. Determine p, given that m(p) = 0.
-5, -3
Suppose 4*q**5 - q - 80*q**2 + 7847928*q**4 - 7847908*q**4 + q - 16*q**3 = 0. Calculate q.
-5, -2, 0, 2
Let r(o) = 7*o - 2. Let s be r(2). Solve 26*i - s*i**3 + 4*i**2 + 27*i**4 - 31*i**4 - 14*i = 0 for i.
-3, -1, 0, 1
Let t be 102/(-136) + 92/16. Let b(h) be the third derivative of -1/90*h**6 + 3*h**2 + 1/315*h**7 + 0 + 1/18*h**4 + 0*h - 1/9*h**3 + 0*h**t. Factor b(n).
2*(n - 1)**3*(n + 1)/3
Let j(y) be the first derivative of -47/2*y**4 - 24/5*y**5 + 128*y - 1/3*y**6 - 104/3*y**3 + 48*y**2 + 9. Factor j(x).
-2*(x - 1)*(x + 1)*(x + 4)**3
Let v(x) be the second derivative of -x**4/3 - 2*x**3 - 11*x**2/2 + 5*x - 4. Suppose i + 5 = 6. Let a(y) = -1. Let g(s) = i*v(s) - 3*a(s). Factor g(c).
-4*(c + 1)*(c + 2)
Solve 10522298*r**2 - 10522298*r**2 - 8*r**3 - 4*r**4 + 4 + 8*r = 0 for r.
-1, 1
Let y(o) = 2078*o + 24941. Let l be y(-12). Find z such that l*z + 25*z**2 + 1/4 = 0.
-1/10
Let z be (-4)/((-60)/273) + (-3)/15. Let q be z/(-207) - (0 - 282/69). Solve 2/13*s**q + 6/13*s + 0 - 10/13*s**2 + 2/13*s**3 = 0 for s.
-3, 0, 1
Let z = -50066 + 50068. Let -16/3 - 8/3*k**z + 1/3*k**3 + 20/3*k = 0. Calculate k.
2, 4
Let n(f) = 4*f**2 + 13*f - 17. Let y(k) = -7*k**2 - 26*k + 33. Suppose -16*h = -126 - 34. Let o(v) = h*n(v) + 6*y(v). Factor o(m).
-2*(m - 1)*(m + 14)
Solve 6*l**2 + 26/9*l**3 - 2/3 - 74/9*l = 0 for l.
-3, -1/13, 1
Let w(u) be the first derivative of -u**3/15 - 33*u**2/2 - 326*u/5 - 499. Let w(a) = 0. What is a?
-163, -2
Suppose 3*p + 29/3*p**2 - 1/3*p**3 - 87 = 0. What is p?
-3, 3, 29
Let o(h) be the third derivative of -19*h**2 + 1/40*h**5 - 1/280*h**7 + h + 0 + 0*h**4 - 1/8*h**3 + 0*h**6. Factor o(b).
-3*(b - 1)**2*(b + 1)**2/4
Suppose -5*b = -6*b + 2. Suppose 18*a = 2*a + 64. Factor 3*o**2 + a*o**b + 4*o - 5*o**2 - 6*o**2.
-4*o*(o - 1)
Suppose 0 = 4*t - 5*n - 21, -5*t + 3*n = -0*n - 36. Let r be 14*t/((-63)/(-2)). Suppose 18*c**3 - 5*c**2 - 136*c**r + 2*c**3 + 141*c**4 - 20*c = 0. What is c?
-4, -1, 0, 1
Suppose 24 = m - g, 6*g - 2*g - 4 = 0. What is l in -26 + 3*l + 113*l**2 - 115*l**2 + m*l = 0?
1, 13
Let d(n) be the second derivative of -n**4 + 15/2*n**2 - 1/10*n**6 + 0 - 9/10*n**5 - 26*n + 3*n**3. Factor d(v).
-3*(v - 1)*(v + 1)**2*(v + 5)
Let j be 8/76 + (-35464)/(-32395). Determine l, given that 0*l**2 + 0 - 2/5*l**4 + j*l**3 - 8/5*l = 0.
-1, 0, 2
Suppose -2*a - 3*l = -52, -3*a + 148 = 2*a + 3*l. Factor 12*k**2 + 13 + 3 + a*k + 3*k**3 - 38*k - 5*k**3 + 36*k.
-2*(k - 8)*(k + 1)**2
Let r = 56 + -47. Suppose r*j - 24 = -6. What is b in -4*b**2 - b**2 - 12*b - b**2 + 3*b**j - 9 = 0?
-3, -1
Factor -338 + 1/3*x**3 + 20/3*x**2 + 13/3*x.
(x - 6)*(x + 13)**2/3
Let y(v) be the first derivative of -4/5*v**5 - v**2 + 0*v**4 + 92 + 0*v + 1/3*v**6 + 4/3*v**3. Solve y(p) = 0 for p.
-1, 0, 1
Solve 812/3*z - 271 + 1/3*z**2 = 0.
-813, 1
Let u(r) be the first derivative of r**4/36 - 2*r**3/27 - 31*r**2/18 - 28*r/9 + 819. Factor u(b).
(b - 7)*(b + 1)*(b + 4)/9
Let r be (-1962)/(-495) - (-570)/15675. Factor 192/5*j**2 + 1/5*j**r + 0 + 26/5*j**3 + 288/5*j.
j*(j + 2)*(j + 12)**2/5
Let o be (2650/(-120) + 23)/(22/4)*21. Factor -17/6*l**2 + 20/3*l**3 + 0 - 1/3*l - o*l**4.
-l*(l - 1)**2*(21*l + 2)/6
Let k = -536/817 + 27700/7353. Factor 16/9*l**2 - k*l - 40/9 + 4/9*l**3.
4*(l - 2)*(l + 1)*(l + 5)/9
Let -23699 + 5*v**3 - 715*v**2 + 25915*v + 8029 - 9535 = 0. Calculate v.
1, 71
Let t(v) = 3*v**3 - 15*v**2 + 7*v + 5. Let p be t(5). Find y, given that -p*y**2 - 42*y + 2*y**3 - 9*y**3 - 74*y - 50 + 2*y**3 + 31*y = 0.
-5, -2, -1
Suppose 5*u + 561 - 170 = 22*u. Let d(w) be the second derivative of -9/20*w**5 + 0 - u*w + 0*w**2 + 1/15*w**6 - 2/3*w**3 + w**4. Solve d(v) = 0.
0, 1/2, 2
Let b(z) be the third derivative of z**2 + 34 + 0*z - 3/4*z**4 + 4/15*z**5 + 1/60*z**6 + 0*z**3. Determine u, given that b(u) = 0.
-9, 0, 1
Let s = -105 - -103. Let y be -8 - s - (7 + (-475)/35). Solve 2/7*v**5 + 2/7*v**3 + 0 + 6/7*v**2 - 6/7*v**4 - y*v = 0 for v.
-1, 0, 1, 2
Suppose -a = 3*h - 9 - 5, h = -4*a + 12. Let j be (a/(-6))/((-9)/27) - -1. What is g in -21 - 6*g + 16 + 2*g**2 + 11 - j*g = 0?
1, 3
What is m in 550*m**4 - 36*m**2 - 86*m**2 - 15110*m**3 + 60356*m + 30*m**5 - 35*m**5 - 30250 - 1538*m**2 - 13881*m = 0?
-2, 1, 55
Suppose 16*f + 30 = 20*f - a, -282 = 2*f + 13*a. Solve 3844/5 + 124/5*l + 1/5*l**f = 0 for l.
-62
Let a(y) = y**3 + 7*y**2 - 2*y - 48. Let f be a(-6). Let c(g) be the third derivative of 1/40*g**5 + 0*g - 23*g**2 + f + 0*g**3 - 5/16*g**4. Factor c(b).
3*b*(b - 5)/2
Let i(z) = 9*z + 427. Let f be i(-47). Suppose -3*d + 4*d = -f*d. Find u, given that -2/5*u + d - 2/5*u**3 - 4/5*u**2 = 0.
-1, 0
Factor -2484/5 - 2487/5*i - 3/5*i**2.
-3*(i + 1)*(i + 828)/5
Let g(h) be the first derivative of h**5/10 - 3*h**4/4 + 7*h**3/6 + 3*h**2/2 - 4*h + 3787. Let g(a) = 0. What is a?
-1, 1, 2, 4
Let q = 1087465 - 1087465. Factor 0*l + 1/6*l**3 - 22/3*l**2 + q.
l**2*(l - 44)/6
Let -u**3 - 589*u + 737*u - 857*u**2 + 852*u**2 + 308 = 0. Calculate u.
-14, -2, 11
Find g such that 80/3*g + 1/3*g**4 - 16*g**2 - 20/3*g**3 + 176/3 = 0.
-2, 2, 22
Suppose -20*t**2 + 0*t + 0 + 92/7*t**3 + 4/7*t**5 + 44/7*t**4 = 0. What is t?
-7, -5, 0, 1
Let h be (35/40 + -1)/(17/(-714)*3). Let t(o) be the first derivative of -3*o + 44 + h*o**2 - 1/6*o**3. Solve t(j) = 0 for j.
1, 6
Let c(o) be the second derivative of -o**5/120 + 31*o**4/9 + o**3/36 - 62*o**2/3 - 4091*o. Let c(i) = 0. What is i?
-1, 1, 248
Let f(v) = -v**5 - v**2 - v. Let n(z) = -8*z**5 - 3*z**4 - 41*z**3 - 114*z**2 - 113*z - 36. Let b(r) = 9*f(r) - n(r). Let b(m) = 0. Calculate m.
-2, -1, 9
Let x be (-1)/(-2)*34/7 + 15513/(-36197). Let 148/9*l - 4/3 - 16/3*l**x = 0. Calculate l.
1/12, 3
Factor -439 - 806 - 312 - 6454*g + 2948*g - 3*g**2 + 2978*g.
-3*(g + 3)*(g + 173)
Suppose -1/6*r + 5*r**4 + 1/3*r**3 + 5 - 1/6*r**5 - 10*r**2 = 0. What is r?
-1, 1, 30
Let x(f) = -9*f**2 - 900*f + 202502. Let q(j) = 23*j**2 + 1800*j - 405005. Let r(w) = 2*q(w) + 5*x(w). Factor r(k).
(k - 450)**2
Let i(j) be the first derivative of -j**6/36 + j**5/3 - 23*j**4/24 + 7*j**3/9 + 870. Suppose i(a) = 0. Calculate a.
0, 1, 2, 7
Let v(i) = 4*i**2 + 4*i - 2. Let m be v(-2). Factor -6 + 5*a - 125*a**3 - 156*a**4 + 0 + m + 91*a**4 - 55*a**2.
-5*a*(a + 1)**2*(13*a - 1)
Let z(c) be the third derivative of 160*c**7/21 - 2*c**6 - 1591*c**5/60 + 10*c**4 - 3*c**3/2 - 26*c**2 + 16. Factor z(h).
(h - 1)*(h + 1)*(40*h - 3)**2
Let r be (-88)/(-132)*6 + -2. Solve -1/4*h**r + 1/2*h + 3/4 = 0.
-1, 3
Let k(l) = 12*l**2 - 72*l. Let x(t) = -t**2 + 2*t - 2. Let h(d) = 4*d**2 - 5*d + 6. Let p(m) = -h(m) - 3*x(m). Let c(i) = k(i) + 16*p(i). Factor c(b).
-4*b*(b + 22)
Let q(g) be the third derivative of g**6/24 - 8*g**5/3 + 200*g**4/3 - 2560*g**3/3 + 878*g**2. Solve q(h) = 0 for h.
8, 16
Let p(h) be the first derivative of -5*h**3 - 355*h**2 + 480*h - 5761. Find q, given that p(q) = 0.
-48, 2/3
Let u(k) be the first derivative of -k**6/30 - 2*k**5/5 + 2*k**4/5 + 206*k**3/15 - 7*k**2/10 - 196*k/5 + 369. Determine j so that u(j) = 0.
-7, -1, 1, 4
Let u(z) be the first derivative of -2*z**6/3 + 32*z**5/5 + 81*z**4 - 1568*z**3/3 - 160*z**2 + 1536*z - 4597. Solve u(j) = 0.
-8, -1, 1, 4, 12
Let j be 21/12 + (-24)/21 - (-44)/308. Factor 0*i - 27/2*i**2 + 0 - j*i**3.
-3*i**2*(i + 18)/4
Let h(r) be the second derivative of 20/9*r**3 - 10 + 1/9*r**4 - 10*r + 0*r**2. What is b in h(b) = 0?
-10, 0
Let u(v) be the first derivative of -8*v**3/3 + 318*v**2 + 320*v + 3051. F