 y**3/6 + y**2/3 - 2*y/3 + 89. Factor s(l).
-(l - 1)**2*(l + 2)**2/6
Let a(j) = -j**2 + j + 2. Let m(s) = 5*s**2 - 52*s - 541. Let r(x) = 6*a(x) + m(x). Determine z so that r(z) = 0.
-23
Let l(z) = -219*z**5 + 420*z**4 - 163*z**3 - 28*z**2 + 2*z + 3. Let x(c) = -2*c**5 - c**3 - c - 1. Let v(r) = -l(r) - 3*x(r). Find f, given that v(f) = 0.
-1/15, 0, 1
Let r = 88 + -86. Let t(x) be the first derivative of r - 8/11*x - 26/33*x**3 + 12/11*x**2 - 2/55*x**5 + 3/11*x**4. Suppose t(f) = 0. Calculate f.
1, 2
Let x be (-1)/(-3) - 112/(-6). Find l such that 12*l + 4*l**3 + x + 17 - 20*l**2 + 0*l**3 = 0.
-1, 3
Let u be 6*(-98)/(-252) - 4/(-6). Let t(n) be the second derivative of -3*n - 2/21*n**u - 1/42*n**4 + 0 + 3/7*n**2. Factor t(p).
-2*(p - 1)*(p + 3)/7
Let w(s) be the first derivative of 3*s**5/5 - 3*s**4/4 - 3*s**3 + 3*s**2/2 + 6*s + 234. Determine m, given that w(m) = 0.
-1, 1, 2
Let m(y) be the second derivative of y**6/90 - y**5/30 - y**4/3 - 17*y**3/3 - 15*y. Let c(o) be the second derivative of m(o). Find g, given that c(g) = 0.
-1, 2
Factor -874/7*s**2 - 8/7 - 160/7*s - 722/7*s**3.
-2*(s + 1)*(19*s + 2)**2/7
Let g(y) = 3*y**2 - 8*y + 4. Let t(s) be the first derivative of 0*s - 4*s + 4*s**2 + 6 - s**3 + 0*s**2 - 13. Let n(m) = 3*g(m) + 4*t(m). Factor n(i).
-(i - 2)*(3*i - 2)
Let j = -153 - -157. Let t = j - 4. Let -6/5*u**2 + 8/15*u**3 + t + 4/15*u = 0. Calculate u.
0, 1/4, 2
Let l(n) be the third derivative of 7*n**6/160 - n**5/40 - 3*n**2 - 7. Solve l(k) = 0 for k.
0, 2/7
Let u(c) be the third derivative of -c**7/42 - c**6/6 - c**5/3 + 7*c**2. Solve u(q) = 0 for q.
-2, 0
Let d(h) be the third derivative of -h**9/15120 + h**8/1260 - h**7/420 + 17*h**5/60 - 7*h**2. Let f(s) be the third derivative of d(s). Let f(o) = 0. What is o?
0, 1, 3
Suppose 10*n = 13*n - 6. Let p be n/7*-1*-7. Determine w so that 1 - 2*w**p + w**2 + 7*w - 6*w - w**3 = 0.
-1, 1
Let d(b) be the third derivative of 0*b**3 + 1/160*b**6 + 0*b - 11*b**2 + 0 + 1/80*b**5 + 0*b**4. Determine j so that d(j) = 0.
-1, 0
Let h(l) be the third derivative of l**7/4200 + l**6/900 - l**3 - 2*l**2. Let a(m) be the first derivative of h(m). Factor a(x).
x**2*(x + 2)/5
Suppose 212 - 1678 = -5*v - 2*o, 0 = -2*v - 4*o + 580. Factor -3 + 12*j**3 - 3*j + 15*j - 312*j**2 + v*j**2 - 3*j**4.
-3*(j - 1)**4
Let r(t) = 158*t**2 - 4116*t - 743. Let c(z) = -105*z**2 + 2745*z + 495. Let s(n) = -7*c(n) - 5*r(n). Factor s(a).
-5*(a - 25)*(11*a + 2)
Suppose 14 - 17 = -i. Let c(r) = 2*r - 2. Let p be c(3). Find x such that i*x**2 + x - 3*x**3 - 2*x**4 + 4*x - x**p - 2*x = 0.
-1, 0, 1
Determine g so that 6*g**3 + 3 - 9*g**2 - 5 + 0 - 7 - 24*g = 0.
-1, -1/2, 3
Let r = -346268835/123781 + 47/17683. Let b = r + 2802. Let 4/7*h**3 + 48/7*h - 24/7*h**2 - b = 0. What is h?
2
Let x be 5/((-30)/(-9)) - (-12 + 13). Factor -2*a**4 + 5/2*a**2 - x - 1/4*a - a**3 + 5/4*a**5.
(a - 1)**3*(a + 1)*(5*a + 2)/4
Factor 9*s + 7/2*s**2 + 4 + 1/2*s**5 - 3/2*s**4 - 7/2*s**3.
(s - 4)*(s - 2)*(s + 1)**3/2
Let u(m) be the second derivative of -4*m**6/165 + 27*m**5/110 - 3*m**4/22 - 52*m**3/33 - 12*m**2/11 + 70*m. Solve u(f) = 0.
-1, -1/4, 2, 6
Suppose -289*m + 96 = -285*m. Let j(l) be the first derivative of -m*l - 8 - 6*l**2 - 1/2*l**3. Factor j(w).
-3*(w + 4)**2/2
Let u(x) be the first derivative of 13*x**3 + 111*x**2/2 - 18*x + 749. Find s such that u(s) = 0.
-3, 2/13
Let b(p) be the third derivative of p**8/131040 - p**6/1170 - p**5/5 - 14*p**2. Let r(l) be the third derivative of b(l). Determine a so that r(a) = 0.
-2, 2
Let l(s) = -2*s**2 + 9*s + 21. Let z be 3/(-1) - (0 + 7 + -16). Let x be l(z). Factor 0*w + 0*w**x + 2/7*w**4 - 4/7*w**2 + 2/7.
2*(w - 1)**2*(w + 1)**2/7
Suppose 4*b + 11 + 5 = -5*x, -b = 5*x + 4. Suppose x = -c + 3*f + 7, -c + f = 2*f - 3. Factor -7 - 3*i + 2 + 2*i**3 - 2*i**2 + i**5 + 4 + 0*i**2 + 3*i**c.
(i - 1)*(i + 1)**4
Factor 0 - 4/7*v - 6*v**2.
-2*v*(21*v + 2)/7
Suppose 0*j - 10 = -5*j. Determine i, given that i**j - 110*i + 8 + 230*i - 114*i = 0.
-4, -2
Let f be (-1)/(399/(-1986)) - 5. Let t = 1055/399 - f. Factor -16/3 - 16/3*o + 4*o**2 - 4/3*o**4 + t*o**3.
-4*(o - 2)**2*(o + 1)**2/3
Let f = -3123 + 3128. Factor -f*b + 0*b**2 - 5/2 + 5*b**3 + 5/2*b**4.
5*(b - 1)*(b + 1)**3/2
Let x(v) = 14*v**2 - 4*v + 13. Let t(g) = -5*g**2 + g - 4. Let q(s) = 17*t(s) + 6*x(s). Let r be q(-8). Suppose 0*o + 1/5*o**3 + 0 - 2/5*o**r = 0. Calculate o.
0, 2
Let p = 13 + -11. Factor -p*y**5 - 2 - 2*y**2 + 10*y**3 + 1 + 6*y**4 - 4*y**4 - 7 - 16*y.
-2*(y - 2)**2*(y + 1)**3
Let w(c) = c**3 - 5*c**2 + 4. Let l be w(5). Factor 3*h**3 + 8*h - 6 - l*h - 15*h**2 + 11*h + 3*h**2.
3*(h - 2)*(h - 1)**2
Let q(s) be the third derivative of -s**6/210 - 173*s**5/35 - 29929*s**4/14 - 10355434*s**3/21 - 272*s**2. What is p in q(p) = 0?
-173
Let n(o) be the second derivative of o**9/6048 + o**8/2688 - o**7/504 - 5*o**4/12 + 8*o. Let q(k) be the third derivative of n(k). Solve q(u) = 0 for u.
-2, 0, 1
Let z be (113/565)/((-1)/((-10)/6)). Let y**3 + 0 + 0*y**2 - 4/9*y - 2/9*y**4 - z*y**5 = 0. What is y?
-2, -2/3, 0, 1
Let b(t) be the third derivative of t**8/280 - 188*t**7/525 + 501*t**6/50 - 62*t**5/5 - 961*t**4/60 + 220*t**2. Let b(f) = 0. Calculate f.
-1/3, 0, 1, 31
Let b(h) = -6*h - 1. Let k be b(-3). Factor 4*z**3 - k*z**2 + 137*z**2 - 424*z + 4000 + 1624*z.
4*(z + 10)**3
Let y(d) be the first derivative of d**6/180 - d**5/45 - 3*d**2/2 + 5. Let x(j) be the second derivative of y(j). Factor x(h).
2*h**2*(h - 2)/3
Let z(i) be the second derivative of 2*i**7/147 - 2*i**6/105 - i**5/5 + 13*i**4/21 - 4*i**3/7 - 60*i. What is s in z(s) = 0?
-3, 0, 1, 2
Let f(u) be the second derivative of -u**5/20 - u**4/4 + 3*u**3/2 - 23*u**2/2 + 13*u. Let r(k) be the first derivative of f(k). Factor r(v).
-3*(v - 1)*(v + 3)
Suppose -5*u - 1 = -3*y, 0*u - 6 = -4*y + 2*u. Suppose -64*v + 65*v - y = 0. Factor 3/5*n**4 - 21/5*n + 6/5 + 27/5*n**v - 3*n**3.
3*(n - 2)*(n - 1)**3/5
Let j(v) = -4*v - 66. Let q be j(0). Let l = q + 66. Factor -1/4*z**2 + 1/4*z + l.
-z*(z - 1)/4
Let h(s) be the second derivative of s**5/80 + s**4/24 - s**3 - s - 95. Factor h(a).
a*(a - 4)*(a + 6)/4
Let w(s) = -6*s**2 + 1. Let g(x) = -58*x**2 + 232*x + 6738. Let v(a) = -g(a) + 10*w(a). Solve v(j) = 0.
-58
Let k(r) be the third derivative of -r**7/2100 - r**6/300 - 11*r**3/6 - 18*r**2. Let j(i) be the first derivative of k(i). Find p such that j(p) = 0.
-3, 0
Let r(q) = -4*q**5 - 35*q**3 + 18*q**2 + 7*q + 7. Let h(k) = -k**5 - 11*k**3 + 6*k**2 + 2*k + 2. Let b(x) = -14*h(x) + 4*r(x). Solve b(f) = 0 for f.
-3, 0, 1, 2
Let n(j) be the second derivative of -1/9*j**4 + j - 1/6*j**2 + 0 - 5/18*j**3. Suppose n(u) = 0. What is u?
-1, -1/4
Let r(b) be the second derivative of -5*b**5/2 + 265*b**4/3 - 203*b**3 + 180*b**2 + b - 14. What is s in r(s) = 0?
3/5, 20
Let l(o) be the third derivative of -1/3*o**5 - 35/24*o**4 + 7*o**2 + 0*o + 5/3*o**3 + 0. Let l(x) = 0. What is x?
-2, 1/4
Let i(l) be the third derivative of 0*l**3 + 0*l**4 + 0 + 0*l + 4*l**2 + 1/30*l**5. Factor i(j).
2*j**2
Let w(f) = -f**3 - 4*f**2 - 4*f + 8. Let r be w(-4). Let p be r + 1 + (-6 - -3). Factor l**3 + 6 + 48*l**2 - 18*l - 15*l - p*l**3.
-3*(l - 1)**2*(7*l - 2)
Factor 5/4*f**4 - 135/4 - 10*f**3 + 45/2*f**2 + 0*f.
5*(f - 3)**3*(f + 1)/4
Let r(c) be the first derivative of c**3/3 + 11*c**2/2 + 10*c - 84. Factor r(q).
(q + 1)*(q + 10)
Suppose -5 = -s, c - 3*s - 2*s = -16. Let p(g) be the first derivative of 15/2*g**2 + c + 25/4*g**3 + 3*g. Find n such that p(n) = 0.
-2/5
Let p(j) be the third derivative of -j**5/30 - j**4 + 13*j**3/3 - 5*j**2. Factor p(c).
-2*(c - 1)*(c + 13)
Let g(x) be the first derivative of -10/63*x**3 + 4/21*x - 9 + 1/7*x**2. Factor g(o).
-2*(o - 1)*(5*o + 2)/21
Let j(q) be the second derivative of q**4/6 + 16*q**3/3 - 3*q - 9. Factor j(n).
2*n*(n + 16)
Let p(c) = 46*c**3 + 36*c**2 - 319*c + 17. Let r(o) = 8*o**3 + 6*o**2 - 53*o + 3. Let m(n) = -6*p(n) + 34*r(n). Determine z so that m(z) = 0.
-7, 0, 4
Let f = 11006/3309 - -8/1103. Determine z so that -2/3*z**4 + 2/3*z**2 + 0 - 2*z**5 - 4/3*z + f*z**3 = 0.
-1, 0, 2/3, 1
Let n(r) = -3*r - 3. Let y be n(-2). Let f(x) be the second derivative of 5/6*x**y - 3/8*x**4 + 7/80*x**5 - x**2 + 0 - 4*x - 1/120*x**6. What is d in f(d) = 0?
1, 2
Let x = -2936 - -