(w) = w**2 + 91*w + 1204. Let l be h(-16). Solve 2/13*g**l - 4/13*g + 4/13*g**3 - 2/13*g**2 + 0 = 0 for g.
-2, -1, 0, 1
Suppose 48 + 212 = -2*a. Let n = -908/7 - a. Find y, given that -n*y**3 + 0 + 0*y + 2/7*y**5 - 2/7*y**2 + 2/7*y**4 = 0.
-1, 0, 1
Let o(z) be the first derivative of -5*z**4/12 + 10*z**2 - 15*z - 3. Let i(r) be the first derivative of o(r). Factor i(s).
-5*(s - 2)*(s + 2)
Solve -1/3*q**5 + q**3 + 5/3*q**4 - 17/3*q**2 + 10/3*q + 0 = 0.
-2, 0, 1, 5
Let y(q) be the third derivative of -q**7/420 - q**6/24 - q**5/5 + 5*q**4/24 + 25*q**3/12 - 80*q**2. Suppose y(j) = 0. What is j?
-5, -1, 1
Factor -1248*h**2 + 11 - 26 - 17 - 30*h + 1250*h**2.
2*(h - 16)*(h + 1)
Let k(x) be the third derivative of x**8/2856 + 8*x**7/1785 - x**6/51 + 557*x**2. Factor k(h).
2*h**3*(h - 2)*(h + 10)/17
Let v(w) be the third derivative of -1/720*w**6 + 1/144*w**4 + 1/360*w**5 - 23*w**2 + 0 - 1/1260*w**7 + 0*w**3 + 0*w. Determine j, given that v(j) = 0.
-1, 0, 1
Let z(t) = -1. Let w(q) = -q**2 + 10*q + 6. Let d(g) = w(g) - 5*z(g). Let f be d(11). Factor 1 - r**3 + f*r - r - 2*r + 3*r**2 + 0*r.
-(r - 1)**3
Let q(w) = -w. Let m(k) = -k**2 + 5*k. Let u(a) = a**3 - 5*a**2 + 2*a - 2. Let g be u(2). Let b be 10*(4/g - 0). Let o(f) = b*m(f) - 12*q(f). Factor o(s).
4*s*(s - 2)
Let n(u) = -17*u - 1. Let j be n(-2). Let z = -26 + j. Find i such that -4/7 + z*i**2 + 0*i = 0.
-2/7, 2/7
Let m(f) be the second derivative of -25/6*f**3 - 5/12*f**4 - 15/2*f**2 + 0 + 1/4*f**5 - 10*f. Suppose m(l) = 0. Calculate l.
-1, 3
Find c, given that 2*c**4 + 2*c**3 - 2*c - 496*c**2 + 258*c**2 + 236*c**2 = 0.
-1, 0, 1
Factor -72*c**3 + 6*c**4 + 0*c - 1/6*c**5 + 288*c**2 + 0.
-c**2*(c - 12)**3/6
Let j(g) = 5*g**4 - 17*g**3 + 35*g**2 - 31*g + 8. Let k(y) = -3*y**4 + 11*y**3 - 23*y**2 + 20*y - 5. Let s(r) = -5*j(r) - 8*k(r). Factor s(w).
-w*(w - 1)**2*(w + 5)
Let q be (4/(-10))/(247/(-988)). Solve q*x + 2/5*x**2 + 6/5 = 0 for x.
-3, -1
Let b(v) be the second derivative of v**9/68040 - v**8/30240 + 5*v**4/4 - 3*v. Let f(m) be the third derivative of b(m). Find j such that f(j) = 0.
0, 1
Let r(y) = -2*y + 5. Let p be r(3). Let w = p - -4. Factor 2*c**3 - 3*c**4 + 0*c**3 - w*c + c**3 + 3*c**2.
-3*c*(c - 1)**2*(c + 1)
Let u be (-2548)/490 + 10 + -2. Solve 28/5*i**2 - u*i**5 - 4/5 - 24/5*i**4 + 6/5*i + 8/5*i**3 = 0 for i.
-1, 2/7, 1
Let b be (3 + -4)*-2 - 2/(-2). Find d such that 2*d**b + 2*d - d**4 - 2*d**3 - 2*d**3 + 1 = 0.
-1, 1
Let f(c) = -c**3 - 14*c**2 + 2*c + 30. Let b be f(-14). Let g be 12/(-64)*4*(-1)/3. Factor g*v + 0 - 1/4*v**b.
-v*(v - 1)/4
Solve -7/4*s**2 - 1/4*s**3 - 7/2*s - 2 = 0 for s.
-4, -2, -1
Let j(c) = c**3 + 3*c**2 - 3*c + 6. Let z be j(-4). Suppose 5*n - 2 + z = 0. Let n*k - 2/9*k**5 + 0 + 0*k**2 + 0*k**3 + 2/9*k**4 = 0. What is k?
0, 1
Factor 156*z + 0 - 2/3*z**2.
-2*z*(z - 234)/3
Let h = 19 + -17. Let g be 1/h - (-108)/8. Factor -9*i**3 - 7*i**4 + 5*i**2 - g*i**2 + 4*i**4 - 3*i.
-3*i*(i + 1)**3
Let p = -2259 - -2259. Find r such that -1/4*r**3 + 0*r**2 - 1/8*r**4 + p + 1/8*r**5 + 0*r = 0.
-1, 0, 2
Let b(l) = 9*l**3 - 21*l**2 - 54*l - 24. Let c(i) = -i**4 + 10*i**3 - 20*i**2 - 54*i - 23. Let g(k) = 4*b(k) - 3*c(k). Solve g(t) = 0 for t.
-3, -1, 3
Determine t, given that -138/5*t - 36/5 + 18*t**3 + 8/5*t**5 + 10*t**2 - 54/5*t**4 = 0.
-1, -1/4, 2, 3
Let b(r) be the second derivative of -5*r**7/42 - 17*r**6/90 + 13*r**5/60 + 17*r**4/36 + r**3/9 - 118*r + 1. Suppose b(y) = 0. Calculate y.
-1, -2/15, 0, 1
Let g(m) be the third derivative of 1/90*m**5 + 0 - 11*m**2 + 0*m + 1/6*m**4 + 0*m**3. Determine x, given that g(x) = 0.
-6, 0
Let d(b) = 9*b**3 + 461*b**2 + 442*b + 5. Let x(q) = 14*q**3 + 692*q**2 + 662*q + 8. Let g(z) = 8*d(z) - 5*x(z). Find h such that g(h) = 0.
-113, -1, 0
Let i = -8815/7 + 8620/7. Let r = -919/35 - i. Determine p, given that r*p - 1/5*p**2 - 16/5 = 0.
4
Determine w so that 646/3*w + 722/3 + 2/3*w**3 - 74/3*w**2 = 0.
-1, 19
Factor 2*x - 30*x**2 + 0*x - 2*x - 5*x.
-5*x*(6*x + 1)
Let v(t) be the second derivative of 15*t**7/14 - 43*t**6/6 + 71*t**5/4 - 75*t**4/4 + 10*t**3/3 + 10*t**2 + 46*t - 2. Factor v(f).
5*(f - 2)*(f - 1)**3*(9*f + 2)
Factor v**3 - 27/2*v**2 + 0 + 27/2*v**4 - v.
v*(v - 1)*(v + 1)*(27*v + 2)/2
Let f be 14/22*802/8. Let t = -253/4 + f. Let 8/11*j + t*j**2 - 8/11 = 0. What is j?
-2, 2/3
Let p(k) be the third derivative of -k**6/80 + k**5/20 - 26*k**2. Factor p(r).
-3*r**2*(r - 2)/2
Let k be 2/114*-3*4. Let l = k + 73/76. Find t such that 0*t - 3/4 + l*t**2 = 0.
-1, 1
Find b, given that -6859/5 + 1/5*b**3 + 1083/5*b - 57/5*b**2 = 0.
19
Let h(f) = -20*f - 2. Let m be h(-7). Let -5*i**2 + 150*i + m*i + i**2 + 16 - 276*i = 0. Calculate i.
-1, 4
Let m = 3503509/40 + -87577. Let u = m - 53/5. Factor u*j**4 + 81/8 + 27/4*j**2 - 3/2*j**3 - 27/2*j.
(j - 3)**4/8
Suppose -2*o - 14 = -4*v - 54, -3*o = -4*v - 62. Find a, given that -33*a + o*a + 27*a**3 + 11*a + 3*a**5 - 18*a**4 = 0.
0, 3
Suppose 0 = 78*u - 79*u - 69*u - 179*u. Solve -3/5*f**4 - 2/5*f + u + 1/5*f**3 + 1/5*f**5 + 3/5*f**2 = 0 for f.
-1, 0, 1, 2
Let c be 3 + (1 - 0/2). Suppose -3*k + 5 = 4*z, -5*z + 3*k + 5 = -c*z. Solve 6*q**4 - 6*q**z + 6*q**3 - 3*q + 3*q**5 - 6*q**3 = 0.
-1, 0, 1
Solve 0*l + 4*l**4 - 9*l**3 + l**2 + 75 + 9*l - 3*l**2 - 77 = 0 for l.
-1, 1/4, 1, 2
Let a be 165/60 + 6/(-8). Suppose 274 + r**a + 16*r - 274 - 6*r = 0. What is r?
-10, 0
Let d(r) be the first derivative of 10*r**6/3 - 68*r**5/5 + 16*r**4 - 16*r**3/3 + 32. Determine k, given that d(k) = 0.
0, 2/5, 1, 2
Let v = -52 - -65. Let w be 24/13 - (-2)/v. Factor -1/6*z**3 + 0*z + 0 - 1/6*z**w.
-z**2*(z + 1)/6
Let s(z) = -z**3 + 6*z - 4. Let o be s(-3). Factor o*r**3 + 4*r**3 + 1908*r**4 + 6*r**2 - 1905*r**4.
3*r**2*(r + 1)*(r + 2)
Let c(h) = -h**2 - h + 1. Let d be 0/(1/1) - 4. Let z(b) = 4*b - 8. Let r(w) = d*c(w) + z(w). Factor r(s).
4*(s - 1)*(s + 3)
Let w(q) = -26*q**3 - 14*q**2 + 42*q - 18. Let z(i) = -8*i**3 - 5*i**2 + 14*i - 6. Let t(c) = -5*w(c) + 16*z(c). Find r, given that t(r) = 0.
1, 3
Let r(t) = 51*t + 357. Let p be r(-7). Factor 3/4*a - 3/4*a**3 + 0 + p*a**2.
-3*a*(a - 1)*(a + 1)/4
Let c = -2919 - -2924. Determine d so that 0*d + 1/4*d**c + 0*d**4 - 1/4*d**3 + 0*d**2 + 0 = 0.
-1, 0, 1
Let v(u) be the third derivative of -36*u**2 + 0*u - 3/2*u**4 + 27*u**3 + 1/30*u**5 + 0. What is i in v(i) = 0?
9
Let i(x) be the third derivative of -x**5/15 + x**4/2 - 4*x**3/3 + 2*x**2 - 3*x. Solve i(n) = 0.
1, 2
Let m be (-7 - -5) + (-62)/(-30). Let g(x) be the second derivative of m*x**6 + 0*x**2 + 0*x**3 + 0 + 1/10*x**5 + 0*x**4 - 5*x. Factor g(d).
2*d**3*(d + 1)
Determine j, given that -61/6*j**3 + 11/6*j**4 + 3/2*j**5 - 2 - 40/3*j - 131/6*j**2 = 0.
-2, -1, -2/9, 3
Let p(c) be the third derivative of -c**7/315 + 7*c**6/180 + c**5/90 - 7*c**4/36 + 2*c**2 + 12*c. Factor p(s).
-2*s*(s - 7)*(s - 1)*(s + 1)/3
Suppose 2*y = 2*x - 12, 33 = -4*y + x - 0*x. Let z be -3 + 3 + (-24)/y + -2. What is s in 8/3 + 8/3*s + z*s**2 = 0?
-2
Let x(w) be the first derivative of -3*w**4/8 + w**3 + 3*w**2/4 - 3*w - 46. Determine d so that x(d) = 0.
-1, 1, 2
Let c(o) be the first derivative of 1/4*o**2 - 1/4*o**4 - 1/10*o**5 + 1/12*o**6 + 27 - 1/2*o + 1/3*o**3. Factor c(f).
(f - 1)**3*(f + 1)**2/2
Let o(l) be the second derivative of 1/21*l**4 - 1/14*l**3 + 0 - 8*l - 1/140*l**5 + 0*l**2. Determine y so that o(y) = 0.
0, 1, 3
Let t(f) be the first derivative of -f**4/36 - f**3/18 - 17*f - 5. Let i(z) be the first derivative of t(z). Factor i(q).
-q*(q + 1)/3
Let l = 57 + -47. Find b, given that 10*b + 0*b + 684*b**3 - 709*b**3 + 5*b**2 + l*b**4 = 0.
-1/2, 0, 1, 2
Suppose 41 + 32 + 3*t**2 - 18*t - 58 = 0. Calculate t.
1, 5
Let -3*g**3 - 3*g**4 + 9288 + 6*g**2 - 9288 = 0. Calculate g.
-2, 0, 1
Solve -4/7*f**5 + 0*f**2 + 32/7*f**4 + 0*f + 0 - 48/7*f**3 = 0 for f.
0, 2, 6
Let n be (-2 + -3*5/30)*12/(-10). Let 0*f + 3/5*f**n + 1/5*f**4 + 0 + 2/5*f**2 = 0. Calculate f.
-2, -1, 0
Let -1328/17*t**2 + 336/17*t**3 - 2240/17*t - 18/17*t**4 - 800/17 = 0. What is t?
-2/3, 10
Let i(r) = -9*r**2 - 8*r. Let d(c) be the second derivative of -c**4/12 - c**3/6 + 7*c. Let f(l) = 24*d(l) - 3*i(l). Determine b, given that f(b) = 0.
0
Let y be 2*(4 - 5)*-1*1. Let r(s) be the first derivative of -1/2*s**4 - 1/9*s**2 - 8/45*s**5 - 4/9*s**3 + 0*s - y. Factor 