z + 1/2*z**3 + 1/12*z**5 + 37*z**2 + 0 - 1/3*z**4. Solve l(a) = 0 for a.
3/5, 1
Let g(c) = -c**5 - c**3. Suppose 0 = -2*t - 6*t - 136. Let i = -41 - t. Let k(b) = 9*b**5 - 2*b**4 + 9*b**3. Let z(p) = i*g(p) - 3*k(p). Factor z(r).
-3*r**3*(r - 1)**2
Let b be (-9)/((-9)/(-2))*(-2 - -1). Determine w, given that -10*w**4 - 2*w + 11*w**4 - 2*w**4 + 2*w**3 - 3 + 4*w**b = 0.
-1, 1, 3
Let z = 26 - 26. Suppose z = 5*n - 511 + 191. Factor 0*t - 28*t**3 + 0*t + n*t**5 - 32*t**4 + 0*t - 4*t**2.
4*t**2*(t - 1)*(4*t + 1)**2
Let q = 50 - 47. Let -6*d**3 - 32*d**3 - 12*d - q*d**2 - 33*d**2 + 11*d**3 = 0. Calculate d.
-2/3, 0
Let w(j) = -2*j + 35. Let v be w(12). What is i in 34*i - 26*i + 0 - i**2 - 2*i**4 - v*i**2 + 8*i**3 - 2 = 0?
1
Let b(r) be the first derivative of -r**3 - 6/5*r**5 + 38 - 1/4*r**6 + 0*r**2 - 15/8*r**4 + 0*r. Factor b(p).
-3*p**2*(p + 1)**2*(p + 2)/2
Let u(b) = 2*b + 4. Let r be u(0). Factor 2*w**r - 3*w**4 + 4*w**4.
3*w**4
Solve -12*h**2 - 17 - 16 - 61 - 35 + 519*h = 0.
1/4, 43
Let a(r) be the second derivative of r**7/42 - r**6/10 + 3*r**5/20 - r**4/12 + 23*r. Determine h, given that a(h) = 0.
0, 1
Let p(j) = 3*j**2 + 3. Let s be p(0). Find n, given that n**2 - 9*n**4 - 20*n**s + 24*n**4 + 4*n**2 = 0.
0, 1/3, 1
Factor -202/11*k + 8/11*k**3 - 38/11*k**2 - 48/11.
2*(k - 8)*(k + 3)*(4*k + 1)/11
Let x(a) be the second derivative of -a**5/20 + 4*a**4 - 207*a**3/2 + 529*a**2 + 2*a + 164. Factor x(o).
-(o - 23)**2*(o - 2)
Let j = 123347/6281 + -1/571. Find v such that -432/11 + j*v - 36/11*v**2 + 2/11*v**3 = 0.
6
Let y = -12385/3 - -4139. Factor 2/3*b**2 + y + 16/3*b.
2*(b + 4)**2/3
Factor -71*z**2 - 48*z + 19*z**2 - 951 + 935 - 24*z**3 - 4*z**4.
-4*(z + 1)**2*(z + 2)**2
Let u(g) be the second derivative of 3*g**6/5 - 39*g**5/20 - 3*g**4/4 + 6*g**3 - 6*g**2 - 31*g - 2. Determine l, given that u(l) = 0.
-1, 1/2, 2/3, 2
Let z be -2 - (0 + 0) - (21 - -21)/(-6). Suppose -z*d - 1/2*d**2 - 25/2 = 0. Calculate d.
-5
Let c be (-625)/(-1125)*(-2 - (-24)/10). Factor 0 + 0*k + 4/9*k**3 + 2/9*k**2 + c*k**4.
2*k**2*(k + 1)**2/9
Let d(f) be the first derivative of 9*f**5/5 - 57*f**4/4 - 8*f**3 + 186*f**2 + 240*f - 350. Find q, given that d(q) = 0.
-2, -2/3, 4, 5
Let u be (-2)/(-5) - 14*3/180. Let i(m) be the second derivative of -u*m**5 - 4/45*m**6 + 0 - 1/18*m**4 + 0*m**2 + m + 0*m**3. Factor i(h).
-2*h**2*(h + 1)*(4*h + 1)/3
Let g(o) = o**2 + 9*o - 7. Let y be g(-10). Factor 2*p**3 - 4*p**y + 19*p**2 - 40*p**2 + p**4 + 22*p**2.
p**2*(p - 1)**2
Let w(o) be the second derivative of o**7/84 - 7*o**6/60 + o**5/4 + o**4/12 - 11*o**3/12 + 5*o**2/4 - 51*o. Solve w(l) = 0.
-1, 1, 5
Let r(b) = -159*b - 1267. Let c be r(-8). Let -10/9*o**c + 0 - 4/9*o - 2/3*o**4 + 14/9*o**3 + 2/3*o**2 = 0. Calculate o.
-1, 0, 2/5, 1
Let n(p) = -49*p**2 + 290*p + 24. Let x be n(6). Factor 0*b + 2/3*b**4 - 4/3*b**3 + 0*b**2 + x.
2*b**3*(b - 2)/3
Let s = -918/7 - -395/3. Let k(b) be the second derivative of 0 + 1/14*b**5 + 3*b + 23/21*b**3 - 6/7*b**2 - s*b**4. Factor k(a).
2*(a - 3)*(a - 1)*(5*a - 2)/7
Let q(s) be the second derivative of 0 - 3/10*s**5 + 9/10*s**6 - 4*s + 0*s**2 + 0*s**3 + 0*s**4. Factor q(j).
3*j**3*(9*j - 2)
Let b be 63/(-18)*1*-6. Factor -24*z**3 - 32*z**2 - b*z - 4*z**4 + 45*z - 11 + 47.
-4*(z - 1)*(z + 1)*(z + 3)**2
Suppose -26*f + 100 = 48. Let o(r) be the second derivative of -9*r - 4/3*r**3 + 1/6*r**4 + 4*r**f + 0. Find z, given that o(z) = 0.
2
Let c(n) be the second derivative of -2/399*n**7 + 0 + 0*n**2 + 41*n + 0*n**3 + 1/114*n**4 - 2/95*n**5 + 1/57*n**6. Find b, given that c(b) = 0.
0, 1/2, 1
Let z(c) be the second derivative of c**6/900 + c**5/100 + c**3 + 4*c. Let d(a) be the second derivative of z(a). Suppose d(y) = 0. Calculate y.
-3, 0
Let o = -142 + 137. Let b(j) = -12*j**2 + 604*j + 968. Let l(d) = 2*d**2 - 93*d - 149. Let q(z) = o*b(z) - 32*l(z). What is i in q(i) = 0?
-9, -2
Let o(w) = -w**3 + w**2 + w + 1. Let q be o(-1). Suppose 6*p - 2*p = 20. Factor 3*b**p - 4*b**3 + 6*b**2 + 3*b**4 - 6*b**4 + b**3 - 3*b**q.
3*b**2*(b - 1)**2*(b + 1)
Let w(k) be the first derivative of -k**7/6720 + k**6/2880 + k**5/480 - 2*k**3/3 - 14. Let j(y) be the third derivative of w(y). Factor j(l).
-l*(l - 2)*(l + 1)/8
Let v(p) be the first derivative of p**9/9072 - p**7/630 - p**6/540 + p**5/120 + p**4/36 - 12*p**3 - 8. Let u(j) be the third derivative of v(j). Factor u(r).
(r - 2)*(r - 1)*(r + 1)**3/3
Let l = 2489 + -17421/7. What is x in l*x**3 - 2/7*x - 6/7 + 6/7*x**2 = 0?
-3, -1, 1
Suppose 5*z + 26 = -2*q - 2*q, -2*z = -q. Let y be 5/z*-2*1. Factor y*j - 4*j**2 + j**2 - 3*j**3 + 4*j - 3*j.
-3*j*(j - 1)*(j + 2)
Let d(l) be the second derivative of l**4/9 + 40*l**3/3 + 600*l**2 + 104*l + 2. Factor d(z).
4*(z + 30)**2/3
Let z(m) be the third derivative of 1/40*m**4 - 3/100*m**5 + 16*m**2 + 1/5*m**3 + 0 + 0*m. Determine a, given that z(a) = 0.
-2/3, 1
Let a = 145 - 1883/13. Factor -a*p**2 + 4/13*p - 2/13.
-2*(p - 1)**2/13
Let s(b) = 27*b**4 + 26*b**3 - 10*b**2 + 3*b - 3. Let u(c) = 28*c**4 + 26*c**3 - 8*c**2 + 2*c - 2. Let a(h) = -4*s(h) + 6*u(h). Determine g so that a(g) = 0.
-1, 0, 2/15
Suppose 2*y - 4*i - 2 = 4, 2*y + 5*i - 6 = 0. Factor -5*j**2 + 14*j**2 + 12*j - 263*j**y + 260*j**3.
-3*j*(j - 4)*(j + 1)
Let h be 1/(1 - (-10)/(-15)). Factor 6*v + 34*v**2 - 31*v**2 + h + 0.
3*(v + 1)**2
Let y be (-110)/66 - 170/(-75). What is z in -y*z**3 + 0*z - 3/5*z**2 + 0 = 0?
-1, 0
Let o(a) be the third derivative of 1/14*a**4 + 0*a - 3/245*a**7 - 3/35*a**5 + 13/280*a**6 + 0*a**3 + 1/784*a**8 + 0 + 20*a**2. Factor o(n).
3*n*(n - 2)**2*(n - 1)**2/7
Find b, given that -3/2 - 1/4*b**3 + 1/4*b + 3/2*b**2 = 0.
-1, 1, 6
Let m(v) = -v + 8. Let o be m(7). Let d = 1 + o. What is c in -c**2 - 2*c**d + 0*c**2 + 6 - 3*c = 0?
-2, 1
Let w = 21157/19404 + 1/1764. Factor 0 + w*g**2 - 6/11*g - 6/11*g**3.
-6*g*(g - 1)**2/11
Let r(y) be the first derivative of y**6/36 + y**5/6 + 3*y**4/8 + 7*y**3/18 + y**2/6 + 80. Factor r(w).
w*(w + 1)**3*(w + 2)/6
Suppose -80 = 14*u - 18*u. Let a = 20 - u. Factor a*f - 4/7*f**3 + 2/7*f**4 + 0 + 2/7*f**2.
2*f**2*(f - 1)**2/7
Let h(l) = -19*l - 57. Let f be h(-4). Suppose -14*a - 20 = -f*a. Factor 0 + 0*r - 3/7*r**a + 0*r**2 - 3/7*r**3.
-3*r**3*(r + 1)/7
Let n(a) = 5*a**4 - 10*a**3 - 2*a**2 + 13*a - 3. Let j(b) = -15*b**4 + 30*b**3 + 7*b**2 - 38*b + 8. Let p(x) = 3*j(x) + 8*n(x). Solve p(r) = 0 for r.
-1, 0, 1, 2
Find v, given that 0 - 54/5*v**2 + 54/5*v**4 + 27/5*v + 21/5*v**5 - 48/5*v**3 = 0.
-3, -1, 0, 3/7, 1
Let o(k) be the second derivative of k**2 - 1/6*k**3 + 4*k + 1/20*k**5 - 1/6*k**4 + 0. Find u such that o(u) = 0.
-1, 1, 2
Let w(a) be the first derivative of -14*a**5/5 - 96*a**4 - 17648*a**3/21 + 768*a**2 - 224*a + 88. Factor w(g).
-2*(g + 14)**2*(7*g - 2)**2/7
Let a be 5546*(0 + 2 - (-140)/(-65)). Let o = 854 + a. Solve 12/13*j**2 - 6/13*j**5 + 4/13*j**3 + 2/13*j - o*j**4 - 2/13 = 0 for j.
-1, 1/3, 1
Let a = 1528 + -1523. Factor 0*m - 3/2*m**4 + 0 + 0*m**2 + 3/4*m**3 + 3/4*m**a.
3*m**3*(m - 1)**2/4
Let h(k) be the first derivative of 2*k**5/35 + 10*k**4/7 + 12*k**3 + 28*k**2 - 98*k - 975. Suppose h(f) = 0. Calculate f.
-7, 1
Factor -1/2 - 1/2*u**2 - u.
-(u + 1)**2/2
Let l = 30 + -26. Let f be ((-30)/9)/((-4)/6). Factor -9*m**4 - 12*m**3 + 0*m**4 - 3*m**f - 3*m**l.
-3*m**3*(m + 2)**2
Factor 153/8 + 75/4*d - 3/8*d**2.
-3*(d - 51)*(d + 1)/8
Let d(f) = 7*f**2 - 101*f + 45. Let q be d(14). Solve 0 - 5/2*c**q + 0*c - 5/3*c**2 - 5/6*c**4 = 0 for c.
-2, -1, 0
Let q(z) be the first derivative of -25*z**2 + 40/3*z + 95/9*z**3 - 5/4*z**4 + 16. Factor q(m).
-5*(m - 4)*(m - 2)*(3*m - 1)/3
Suppose -4*r = r. Let y = 721/30 - 358/15. Factor -y*c**2 + 2/3 + r*c.
-(c - 2)*(c + 2)/6
Let z = -3/226 + -25529/678. Let b = 38 + z. Factor -b*j**2 + 1/3*j + 0.
-j*(j - 1)/3
Let g(y) = -3*y**4 - y**2 + 2. Let s = 21 + -17. Let l(j) = -2 - 11 + 19*j**s - 8*j**3 + 7*j**3 + 6*j**2. Let f(u) = -39*g(u) - 6*l(u). Let f(r) = 0. What is r?
-1, 0
Let f be (-2 + (-17 - -27))*(-6)/(-28). Suppose -24/7*k - 2/7*k**3 + 16/7 + f*k**2 = 0. What is k?
2
Let p = -16 + 12. Let j be ((-16)/(-6))/(p/(-6)). Find s such that 5*s**2 - 12*s + j - 8*s + 11*s**2 = 0.
1/4, 1
Let v(m) = 7*m**4 - 7*m**2 + 11*m - 11. Let a be 0 - (-5 + 0 + 2). Let c(p) = -4*p**4 + 3*p**2 - 5*p + 6. Let h(z) = a*v(z) +