 10/9*w + 2/9*w**2 = 0.
-3, 1
Let h be 20/15 - 20/(-3). Suppose -4*r + h = -0. Suppose 0 + 3/2*q**r - 3*q + 3/2*q**3 = 0. What is q?
-2, 0, 1
Let j(a) be the second derivative of -7*a**6/15 - 6*a**5/5 - a**4/2 + 2*a**3/3 + 2*a + 535. Solve j(h) = 0.
-1, 0, 2/7
Let j(w) be the second derivative of -1/7*w**2 + 0 + 1/28*w**4 - 1/140*w**5 - 1/210*w**6 + 2*w + 1/42*w**3. Factor j(z).
-(z - 1)**2*(z + 1)*(z + 2)/7
Let z = 111 - 78. Let l = z - 31. Find o, given that -4/9 + 2/9*o**l - 2/9*o = 0.
-1, 2
Let x(j) be the third derivative of j**7/42 - j**6/6 - j**5/6 + 5*j**4/2 + 15*j**3/2 + 56*j**2. Factor x(h).
5*(h - 3)**2*(h + 1)**2
Suppose -50*o + 143 = -5*n + 23, 0 = 3*o + 5*n + 14. Factor 6/13*z + 4/13 + 2/13*z**o.
2*(z + 1)*(z + 2)/13
Suppose 31/2*a**2 + 7*a**3 - 3 + 11/2*a = 0. Calculate a.
-3/2, -1, 2/7
Let o(s) be the second derivative of 10*s**7/7 - 121*s**6/6 + 349*s**5/4 - 665*s**4/12 - 695*s**3/2 - 225*s**2 - 2*s - 21. Determine n, given that o(n) = 0.
-2/3, -1/4, 3, 5
Let u(v) = 4*v**4 + 6*v**3 - 6*v**2 - 6*v + 2. Let m = -16 - -15. Let c(n) = -n**3 - n**2 + n + 1. Let q(g) = m*u(g) + 2*c(g). Find i, given that q(i) = 0.
-2, -1, 0, 1
Determine i, given that -2 - 10*i - 5949*i**2 + 9*i**3 + 2 + 0*i + 5906*i**2 = 0.
-2/9, 0, 5
Let r be (-97)/(-315) + (-82)/369. Let x(q) be the third derivative of 0*q**3 + 2/75*q**5 - r*q**7 - 2/15*q**4 + 7/50*q**6 + 0 + q**2 + 0*q. Factor x(b).
-2*b*(3*b - 2)**2*(5*b + 2)/5
Let b(s) be the third derivative of 5*s**8/448 + 27*s**7/280 + 11*s**6/32 + 53*s**5/80 + 3*s**4/4 + s**3/2 + 5*s**2 + 10*s. Find z such that b(z) = 0.
-2, -1, -2/5
Let h(b) = 35*b**2 + 55*b - 10. Let g(j) = -1 + j - j**2 + 0*j + 9*j**2 - 7*j**2. Let t(q) = -30*g(q) + h(q). Factor t(f).
5*(f + 1)*(f + 4)
Let r(o) be the third derivative of -o**5/60 + 5*o**4/24 - 2*o**2 - 16*o. Factor r(l).
-l*(l - 5)
Let j(x) be the second derivative of 1/20*x**5 - 2*x + 0 - 1/2*x**2 + 1/12*x**4 - 1/6*x**3. Factor j(g).
(g - 1)*(g + 1)**2
Let p(j) be the first derivative of -2/25*j**5 + 1/4*j**4 - 4/15*j**3 + 0*j + 1/10*j**2 + 2. Factor p(q).
-q*(q - 1)**2*(2*q - 1)/5
Let a(v) = -4*v**4 + 10*v**3 + v**2 - 7*v. Let n(o) = -o**4 + 3*o**3 - 2*o. Let p(m) = m + 21. Let d be p(-19). Let l(c) = d*a(c) - 7*n(c). Factor l(b).
-b**2*(b - 1)*(b + 2)
Determine h, given that 15*h**3 - 36*h**4 + 40*h + 16*h**4 + 149*h**5 + 70*h**2 - 154*h**5 = 0.
-4, -1, 0, 2
Let r(c) = -3*c**2 + 3. Let k be r(-1). Let x(j) be the second derivative of 8/21*j**3 + 5/42*j**4 + k + 2*j + 4/7*j**2 + 1/70*j**5. Solve x(g) = 0.
-2, -1
Let c(o) be the second derivative of -o**6/40 + o**4/8 - 5*o**2 - 13*o. Let s(g) be the first derivative of c(g). Factor s(i).
-3*i*(i - 1)*(i + 1)
Let f(v) be the first derivative of -v**4 + 400*v**3/3 + 412. Factor f(j).
-4*j**2*(j - 100)
Let y(a) = 15*a**2 + 51*a - 86. Let x(p) = -170*p**2 - 560*p + 945. Let n(l) = -4*x(l) - 45*y(l). Determine d so that n(d) = 0.
2, 9
Let m(i) be the first derivative of -i**6/60 + i**4/12 + 9*i**2 - 4. Let o(u) be the second derivative of m(u). What is j in o(j) = 0?
-1, 0, 1
Let y(q) be the third derivative of -q**7/1470 + q**6/280 - q**5/140 + q**4/168 + 23*q**2. Find f, given that y(f) = 0.
0, 1
Let r(k) be the third derivative of k**5/150 + k**4/30 + k**3/15 + 109*k**2. Determine m, given that r(m) = 0.
-1
Let g(w) be the third derivative of w**9/12096 - w**8/1344 + w**7/336 - w**6/144 + w**5/60 + 7*w**2. Let h(k) be the third derivative of g(k). Factor h(u).
5*(u - 1)**3
Let v be -66*(-3 + 33/9). Let r = v - -47. Solve 4/5 - 19/5*c**2 + 9/5*c**4 - 2*c**r + 4/5*c**5 + 12/5*c = 0.
-2, -1/4, 1
Let h be (-400)/(-250)*15/84. Factor 0*b + h*b**2 - 8/7.
2*(b - 2)*(b + 2)/7
Let p(k) be the first derivative of k**5/25 - k**4/5 + k**3/3 - k**2/5 - 22. Determine u so that p(u) = 0.
0, 1, 2
Suppose -y = -6*n + 5*n + 66, 2*n + 3*y - 117 = 0. Factor -n*r - 80 + 232*r**3 + 945*r**4 + 1388*r**3 - 17*r + 720*r**2.
5*(3*r + 2)**3*(7*r - 2)
Suppose 11 = 6*w + 95. Let k = -12 - w. Find j, given that 6*j**4 + k*j - 4*j**5 - 2*j + 3*j**3 + 7*j**5 = 0.
-1, 0
Suppose 5*x = 26 + 14. Solve -12*z**2 + 18*z**3 + 4*z**4 - 10*z**3 - 8*z**3 - x*z**3 = 0.
-1, 0, 3
Factor 2*w**4 + 4*w**4 + 2*w**3 - 7*w**4 - w**4.
-2*w**3*(w - 1)
Let x(a) be the second derivative of a**4/30 + 4*a**3/15 + 4*a**2/5 + 2*a + 15. Factor x(n).
2*(n + 2)**2/5
Let o be -16*(-39)/4056 + 2/(-13) + 2. Suppose -41472/11 - 1728/11*i**o - 96/11*i**3 - 2/11*i**4 - 13824/11*i = 0. Calculate i.
-12
Let j be ((-6)/(-8))/(95/40 + -2). Let y(w) be the second derivative of -1/54*w**4 + 6*w + 1/45*w**5 - 2/27*w**3 + 1/135*w**6 + 0 + 0*w**j. Factor y(v).
2*v*(v - 1)*(v + 1)*(v + 2)/9
Solve 557*j - 10 + 563*j - j**2 - 1108*j - j**2 = 0.
1, 5
Let l(b) = -b**2 - b - 5. Let r(a) = 5*a**2 + 32*a - 18. Let w(j) = -6*l(j) - r(j). What is o in w(o) = 0?
2, 24
Let x = -136 + 88. Let p = 50 + x. Solve 1/2*h**p + 1 + 3/2*h = 0.
-2, -1
Let k(o) = o**3 + 0 + 7 + 0*o + 5*o + 9 - 8*o**2. Let j be k(7). Determine h so that 0*h - 14/3*h**4 + 22/3*h**2 - j*h**3 + 2*h**5 - 8/3 = 0.
-1, -2/3, 1, 2
Factor 238/13*x - 2/13*x**2 + 0.
-2*x*(x - 119)/13
Suppose 6*f**2 + 57*f**4 + 147/2*f**3 - 18*f + 0 + 15/2*f**5 = 0. What is f?
-6, -1, 0, 2/5
Let h(s) = -s**2 - 8*s + 4. Let l be h(-7). Factor r**2 - l*r + 9*r + r**2.
2*r*(r - 1)
Let m be 221/286 + 2/1. Let w = 75/22 + m. Factor -18/11*s**3 - w*s**2 + 16/11 - 56/11*s.
-2*(s + 2)**2*(9*s - 2)/11
Let o(x) be the third derivative of x**10/7200 - 23*x**9/20160 + x**8/336 - x**7/420 - x**5/15 - 7*x**2. Let u(k) be the third derivative of o(k). Factor u(w).
3*w*(w - 2)*(w - 1)*(7*w - 2)
Let z(u) be the second derivative of u**5/45 + 4*u**4/27 - 50*u**3/27 - 56*u**2/9 - 467*u + 1. Factor z(j).
4*(j - 4)*(j + 1)*(j + 7)/9
Let n be (-6)/(-4 + 7) - 42. Let m = 46 + n. Suppose -1/6*b**m + 1/3*b - 1/6 = 0. Calculate b.
1
Factor -3/4*y**2 - 45 - 183/4*y.
-3*(y + 1)*(y + 60)/4
Let f(z) be the second derivative of -z**4/3 - 10*z**3/3 + 10*z + 43. Factor f(a).
-4*a*(a + 5)
Suppose -11*l - 5*l + 64 = 0. Let g(f) be the third derivative of -7/6*f**l + 2*f**3 + 1/3*f**5 - 7*f**2 + 0 - 1/30*f**6 + 0*f. Factor g(x).
-4*(x - 3)*(x - 1)**2
Let i(l) be the second derivative of -7*l + 0*l**2 + 0*l**3 + 0 + 7/165*l**6 + 1/231*l**7 + 3/22*l**5 + 3/22*l**4. Factor i(b).
2*b**2*(b + 1)*(b + 3)**2/11
Let v(s) = -74*s**3 - s - 1. Let t be v(-1). Determine o so that t + 68*o - 155 - 3*o**4 + 30*o**3 + 94*o - 108*o**2 = 0.
1, 3
Suppose -16 = -5*o - 1. Factor -20*a**o - 730*a**2 - 5*a**4 + 705*a**2 + a - 11*a.
-5*a*(a + 1)**2*(a + 2)
Factor -25591*i**3 - 89*i + 675*i**2 - 101*i + 25556*i**3.
-5*i*(i - 19)*(7*i - 2)
Let q(j) be the second derivative of -j**7/735 - 2*j**6/315 - j**5/84 - j**4/84 - 8*j**3 + 41*j. Let c(z) be the second derivative of q(z). Factor c(l).
-2*(l + 1)*(2*l + 1)**2/7
Factor 168 + 271*h**3 - 4*h**4 - 187*h**3 - 412*h - 152*h**3 + 316*h**2.
-4*(h - 2)*(h - 1)**2*(h + 21)
Let b = 1080/17 + -14006/221. Factor b*r**2 + 0 + 2/13*r.
2*r*(r + 1)/13
Let q be 1/2*(-55)/110*(-5 - 1). Suppose -21/4*c**5 - 3*c**2 + 21/2*c**3 + 3/2*c**4 - 21/4*c + q = 0. Calculate c.
-1, 2/7, 1
Let g = 4/237 - -130/1659. Let v(c) be the first derivative of -5/7*c**2 + g*c**3 + 8/7*c - 10. Factor v(w).
2*(w - 4)*(w - 1)/7
Let s = 101/13 - 277/39. Solve -20/3*p + 50/3 + s*p**2 = 0.
5
Solve 26/5 - 10*j + 22/5*j**2 + 2/5*j**3 = 0.
-13, 1
Let y(i) be the first derivative of -1/10*i**5 + i + 3/4*i**2 - 1/6*i**3 - 3/8*i**4 - 14. What is o in y(o) = 0?
-2, -1, 1
Let x(i) = 2*i**2 - 6*i + 2. Let d(o) = 10*o + 13. Let w be d(-1). Let j be x(w). Factor -3/5*g**j - 6/5*g + 0.
-3*g*(g + 2)/5
Let z(h) be the third derivative of 0 + 1/72*h**4 - 10*h**2 - 1/60*h**5 + 1/120*h**6 + 0*h - 1/630*h**7 + 0*h**3. Factor z(q).
-q*(q - 1)**3/3
Let t = 208 - 194. Suppose -13*c + 20*c - t = 0. Determine z so that 24/7 + 12/7*z - 6/7*z**c - 3/7*z**3 = 0.
-2, 2
Let r be ((-18)/15)/(-6)*229/(-4). Let w = r - -61/5. Solve -w*i**4 + 9/8*i**2 - 3/8*i**3 - 3/8 + 3/8*i = 0 for i.
-1, 1/2, 1
What is u in 7/2*u + 1/4*u**4 - 31/4*u**2 + u**3 + 12 = 0?
-8, -1, 2, 3
Suppose -83*y - 30 = -98*y. Let v(m) be the second derivative of -2*m + 0 + 2/15*m**3 + 1/30*m**4 + 1/5*m**y. Determine p so that v(p) = 0.
-1
Let c(u) = u**3 - 9*u**2 - 7*u. Let 