 0. Suppose 1 = -w + v + 6, -3*w = v - x. Determine y, given that -4/5*y - 4/5*y**w + 0 = 0.
-1, 0
Determine l so that 3/4*l**3 - 3 - 21/4*l - 3/2*l**2 = 0.
-1, 4
Let k(n) be the first derivative of -4*n**3/9 - 26*n**2 - 680*n/3 + 1012. Let k(m) = 0. Calculate m.
-34, -5
Let y be 26/39*(-106)/(-231). Let o = y + -2/99. Let 2/7 + 8/7*w + 12/7*w**2 + o*w**4 + 8/7*w**3 = 0. What is w?
-1
Let f(j) be the second derivative of -j**6/6 + 13*j**5/4 - 15*j**4/2 - 400*j**3/3 - 320*j**2 - 8*j - 1. Factor f(c).
-5*(c - 8)**2*(c + 1)*(c + 2)
Let h be 22*17/374*(1 + -2)*-4. Factor 2/3*g**h - 2/3*g**2 + 0 + 2/3*g - 2/3*g**3.
2*g*(g - 1)**2*(g + 1)/3
Let 0*r + 1/5*r**2 - 16/5 = 0. What is r?
-4, 4
Let p be (35/75)/((-98)/(-84)). Find h, given that -2/5*h**2 + p*h + 0 = 0.
0, 1
Let p(x) be the third derivative of 0 - 11/40*x**6 + 3/5*x**5 + 11*x**2 + 0*x + 3/70*x**7 + 0*x**3 - 1/2*x**4. Determine a, given that p(a) = 0.
0, 2/3, 1, 2
Let f(h) be the first derivative of h**9/7056 - h**8/980 + h**7/392 - h**6/420 + 4*h**3/3 + 18. Let y(k) be the third derivative of f(k). Factor y(b).
3*b**2*(b - 2)*(b - 1)**2/7
Suppose 74*r + 9*r = 0. Let 0*k + 4/7*k**3 + 12/7*k**4 + 0*k**2 + r = 0. Calculate k.
-1/3, 0
Let p(t) be the third derivative of -t**7/105 - t**6/15 - 2*t**5/15 - 148*t**2. Factor p(v).
-2*v**2*(v + 2)**2
Let l(x) be the first derivative of x**3/9 + 59*x**2/3 + 3481*x/3 - 24. Factor l(o).
(o + 59)**2/3
Suppose 3*g - 17 = -5*f, -4*f - 16 = -4*g - g. Suppose 8 = g*h - 6*h - 3*n, -n = 4. Factor -10 + 7*x**2 - 4*x**2 - h.
3*(x - 2)*(x + 2)
Let a(q) = -q**2 - 5*q + 5. Let z be a(-5). Suppose -6*g = -z*g - 2. What is x in 6 + 6*x - 2 + 2*x**g + 0 = 0?
-2, -1
Let j be (15/(-5) - 1)/(-1). Let b(y) be the first derivative of 0*y**2 + 0*y - 3 + 1/6*y**3 - 1/16*y**j. Factor b(v).
-v**2*(v - 2)/4
Suppose 0 = 27*j - 21*j. Let q(s) be the third derivative of 0 + 3/70*s**7 - 2*s**2 + 0*s + 1/20*s**5 + j*s**3 + 3/40*s**6 + 1/112*s**8 + 0*s**4. Factor q(m).
3*m**2*(m + 1)**3
Suppose 3*c - 10 = 5*i, -5*c - 11 = 2*i - 7. Let n be 0*(c + (0 + -1)*1). Find o, given that 1/2 + n*o - 1/2*o**2 = 0.
-1, 1
Let p(h) be the third derivative of -h**8/1008 - h**7/90 - h**6/60 + 168*h**2. Find o, given that p(o) = 0.
-6, -1, 0
Let g(i) be the second derivative of 0*i**3 - 1/480*i**6 - 1/24*i**4 + 0 - 11/2*i**2 + 1/60*i**5 + 7*i. Let n(b) be the first derivative of g(b). Factor n(v).
-v*(v - 2)**2/4
Let c be 12*(-12)/54*-6. Suppose -c*v + 14*v = -4. Factor 3*m**v - 4 - 1/2*m**4 + 1/2*m**3 - 2*m.
-(m - 2)**2*(m + 1)*(m + 2)/2
Let l be (102/(-45))/(-17)*5. Solve 50/3 + l*z**2 + 20/3*z = 0.
-5
Factor 19/2*i**2 + 115/2*i + 225/2 + 1/2*i**3.
(i + 5)**2*(i + 9)/2
Let k(t) be the second derivative of -t**6/90 - 4*t**5/15 - 16*t**4/9 + 40*t. Let k(f) = 0. Calculate f.
-8, 0
Let n(v) = 21*v**2 - 82*v - 77. Let y(z) = -5*z**2 + 20*z + 19. Let a(s) = 6*n(s) + 26*y(s). Suppose a(c) = 0. What is c?
-1, 8
Let y(z) = -2*z**2 + 165*z - 702. Let d be y(78). Find m such that -3*m - 6*m**2 - 21/4*m**4 + 57/4*m**3 + d = 0.
-2/7, 0, 1, 2
Suppose 4*u + 7 = 5*m + u, 2*u = m. Solve -2/5*i**m - 2/5*i + 4/5 = 0.
-2, 1
Let -34*u**3 + 16*u**4 - 176*u + 32 + 46*u**3 + 216*u**2 - 112*u**3 = 0. What is u?
1/4, 2
Let p(i) be the second derivative of i**6/120 + 3*i**5/40 + i**4/4 + 5*i**3/12 + 3*i**2/8 - 82*i. Solve p(o) = 0 for o.
-3, -1
Let r = 158 - 156. Let s(w) be the first derivative of -2/35*w**5 + 0*w - 4 + 1/7*w**4 - 2/21*w**3 + 0*w**r. Solve s(f) = 0.
0, 1
Let b(g) be the third derivative of -13*g**6/240 + 5*g**5/12 + 73*g**4/48 + 5*g**3/6 + 2*g**2 + 85. Determine i, given that b(i) = 0.
-1, -2/13, 5
Let i = 18 + -13. Let y(l) = l - 3. Let w be y(i). Factor -p**3 + 0*p + 3/2*p**5 + 1/2*p**4 + 0*p**w + 0.
p**3*(p + 1)*(3*p - 2)/2
Suppose -2*a - 14 = -4*f - 0*f, -3*f + 5*a + 14 = 0. Determine t, given that -25*t**2 - 8*t**3 + 35*t**4 - 45*t - f - 7 + 53*t**3 = 0.
-1, -2/7, 1
Let p(o) = -3*o - 2. Suppose -3*j + 19 = 5*y, -y + 3*y - 20 = 5*j. Let l be p(j). Factor -b**2 - 2*b**4 - 2*b**3 - b**4 + 2*b**2 + l*b**4.
b**2*(b - 1)**2
Let l = -54 + 50. Let g be (-2)/2 - (0 + l). Factor 1/7*r**4 - 2/7*r - 1/7 + 2/7*r**g + 0*r**2.
(r - 1)*(r + 1)**3/7
Suppose 4/3*t**5 - 44/3*t + 221/3*t**2 - 194/3*t**3 - 28/3 + 41/3*t**4 = 0. What is t?
-14, -1/4, 1, 2
Let c(w) be the first derivative of -5/12*w**3 - 4 + 3*w - 1/12*w**4 - 1/2*w**2. Let v(x) be the first derivative of c(x). Factor v(m).
-(m + 2)*(2*m + 1)/2
Let p(t) be the third derivative of -t**7/840 - t**6/30 + 9*t**5/40 + t**4/24 - 14*t**3/3 - t**2 - 13. Let i(h) be the second derivative of p(h). Factor i(s).
-3*(s - 1)*(s + 9)
Let o = -65/6 - -67/6. Let u(x) be the first derivative of -3/5*x + 1/20*x**4 + 7/10*x**2 - o*x**3 + 1. Factor u(g).
(g - 3)*(g - 1)**2/5
Let x = 148 - 253. Let m be x/(-28)*(-1)/(-3). Solve m*g**2 - 5/4*g**3 - 1/8*g**5 + 1/8 - 5/8*g + 5/8*g**4 = 0 for g.
1
Let p be -6 - -2 - (6 + -14). Suppose -4*v - 4 = 2*j, 2*v = -4*j - p - 4. Find x, given that 57/5*x**4 + v - 9*x**3 + 3/5*x**2 + 6/5*x - 21/5*x**5 = 0.
-2/7, 0, 1
Factor 40/9*v + 0 - 28/9*v**4 - 116/9*v**2 + 12*v**3 - 4/9*v**5.
-4*v*(v - 1)**3*(v + 10)/9
Let o = -290/3 + 102. Let b = o - 77/15. Solve b*g**5 + 2/5*g**4 - 4/5*g**2 + 2/5 - 2/5*g**3 + 1/5*g = 0 for g.
-2, -1, 1
Let p(y) be the first derivative of -y**8/2520 + y**7/1575 + y**6/300 - y**5/90 + y**4/90 - 7*y**2 - 4. Let u(d) be the second derivative of p(d). Factor u(v).
-2*v*(v - 1)**3*(v + 2)/15
Let p(z) = -11*z**2 + 126*z - 225. Let q(w) = -120*w**2 + 1380*w - 2475. Let u(h) = 65*p(h) - 6*q(h). Factor u(t).
5*(t - 15)*(t - 3)
Let t(n) = 2*n - 14. Let h be t(7). Factor 3*s**2 + 11*s + h*s**2 + 192 + 37*s.
3*(s + 8)**2
Factor 1/5*m**2 + 36/5 - 12/5*m.
(m - 6)**2/5
Let z(d) be the second derivative of -d**7/21 + d**6/3 - 2*d**5/5 - 8*d**4/3 + 32*d**3/3 - 16*d**2 - 50*d. Factor z(p).
-2*(p - 2)**3*(p - 1)*(p + 2)
Let r(f) be the second derivative of -3*f**5/100 + 3*f**4/5 - 7*f**3/2 - 7*f - 4. Determine y, given that r(y) = 0.
0, 5, 7
Let b = -311 - -4049/13. Let m = 4396/13 - 338. Let -b*h + m*h**2 + 4/13 = 0. What is h?
1, 2
Let p(f) = -3*f**2 - 39*f + 81. Let o(t) = 3*t**2 + 40*t - 80. Let b(r) = -3*o(r) - 4*p(r). Factor b(m).
3*(m - 2)*(m + 14)
Let u be 3/21 - 135/(-35). Let j(c) be the second derivative of 1/3*c**3 + 0*c**2 - 1/20*c**5 - 1/12*c**u - c + 0. Determine r so that j(r) = 0.
-2, 0, 1
Let p(u) be the third derivative of u**7/20 + 17*u**6/160 - 81*u**5/80 - 9*u**4/16 + 51*u**2. Let p(d) = 0. Calculate d.
-3, -3/14, 0, 2
Let h be 3 - (3 + 0/11). Determine v, given that 12/5*v**4 - 3/5*v**3 + 0*v**2 + h*v + 0 = 0.
0, 1/4
Let k(c) = 9*c - 3 - 1456*c**3 - 45*c**2 + 1471*c**3 + 0. Let a(w) = -w**2 - w. Let x(z) = -12*a(z) + k(z). Factor x(u).
3*(u - 1)**2*(5*u - 1)
Let x = 3727 - 3725. What is p in 2/3*p**3 - 4/3*p**2 - x*p + 0 = 0?
-1, 0, 3
Let g(h) be the third derivative of 1/30*h**6 - 1/315*h**7 - 13/90*h**5 + 0 + 1/3*h**4 + 4*h**2 + 0*h - 4/9*h**3. Let g(p) = 0. Calculate p.
1, 2
Let n(c) be the second derivative of c**6/105 + 2*c**5/35 - c**4/42 - 4*c**3/21 - 6*c - 17. Factor n(q).
2*q*(q - 1)*(q + 1)*(q + 4)/7
Let z = -34604/3 + 11535. Factor -z*c**3 + 8/3*c**2 + 1/3*c - 8/3.
-(c - 8)*(c - 1)*(c + 1)/3
Let h(g) be the third derivative of g**5/20 + 3*g**4/2 + 27*g**3/2 + 6*g**2 - 2*g. Factor h(w).
3*(w + 3)*(w + 9)
Let j be ((-565)/(-120) - 4) + 6/(-18). Solve 3/2*u + j*u**2 + 9/8 = 0.
-3, -1
Let h(a) be the third derivative of 0*a**6 + 0*a + 1/15*a**3 - 1/75*a**5 - 9*a**2 + 1/525*a**7 + 0*a**4 + 0. Factor h(n).
2*(n - 1)**2*(n + 1)**2/5
Let p(n) = n**2 + n + 8. Let j(s) = -s**2 - 7. Let c = -26 + 22. Let l(f) = c*p(f) - 5*j(f). Factor l(h).
(h - 3)*(h - 1)
Let p(q) be the third derivative of 3*q**8/560 - 13*q**7/350 + 2*q**6/25 - q**5/25 - 13*q**2 + 6. Factor p(a).
3*a**2*(a - 2)**2*(3*a - 1)/5
Suppose -592*g + 14 = 4*q - 593*g, -2*q + 3*g = -22. Factor 4/7*a**q + 0 + 4/7*a.
4*a*(a + 1)/7
Let q(k) be the first derivative of -2*k**5/35 - k**4/7 + 2*k**3/3 + 20*k**2/7 + 24*k/7 + 3. Find c, given that q(c) = 0.
-2, -1, 3
Determine b, given that -7/2*b**2 - 9/2*b**4 + 10 - 24*b**3 + 22*b = 0.
-5, -2/3, 1
Let g = 3 - 16. Let s(a) = -10*a**3 - 13*a**2 + 43*a - 20. Let j(r) = 5*r**3 + 6*r**2 - 21*r + 10. Let x(k) = g*j