**2 + 2/15*w**5 + 0. Solve p(q) = 0.
-1, 0, 1/4
Suppose -16*t + 26 = 4*c - 21*t, -2*t + 8 = 3*c. Factor -3*b**3 + 3*b - 3/2 + 0*b**2 + 3/2*b**c.
3*(b - 1)**3*(b + 1)/2
Suppose 5*m - 10 = -0*m. Let i(r) be the first derivative of 0*r**3 + 1/8*r**4 + 0*r**2 + m + 0*r. Factor i(j).
j**3/2
Let t = -65 + 107. Determine s, given that -8/3 - 278/3*s**2 + 124*s**3 + 80/3*s - t*s**4 = 0.
2/7, 1/3, 2
Let i = 278/875 - 4/125. What is s in -i*s + 2/7*s**2 + 0 = 0?
0, 1
Let o(i) be the second derivative of 0 + 0*i**4 - 1/80*i**5 - 3*i + 0*i**2 + 0*i**3. Suppose o(l) = 0. Calculate l.
0
Let j = 27/50 + -1/25. Factor j*a**5 + 0*a + 0 - 3/2*a**4 - 1/2*a**2 + 3/2*a**3.
a**2*(a - 1)**3/2
Let r(c) be the third derivative of c**6/30 - 19*c**5/15 + 33*c**4/2 - 54*c**3 + 4*c**2. Factor r(d).
4*(d - 9)**2*(d - 1)
Let r be (-8)/10*((-3)/1 + -1). Determine b, given that r*b + 8/5 + 2*b**2 + 2/5*b**3 = 0.
-2, -1
Factor -2/9*z**2 - 18 - 4*z.
-2*(z + 9)**2/9
Suppose -4*v + 0*b - 4*b + 80 = 0, 5*v - 5*b - 50 = 0. Let n = -13 + v. Let -1/2*m**3 - 2 + 3/2*m**n + 0*m = 0. What is m?
-1, 2
Let z(v) = 2*v**3 + 55*v**2 - 29*v - 26. Let j be z(-28). Factor -2/15*d**4 - 2/15*d**3 + 2/15*d**j + 0 + 2/15*d.
-2*d*(d - 1)*(d + 1)**2/15
Let c(s) be the second derivative of 1/30*s**5 - 1/12*s**4 - 3*s - 1/12*s**2 + 1/9*s**3 + 0 - 1/180*s**6. Determine j, given that c(j) = 0.
1
Suppose 0 = 9*v - 44 + 26. Solve -2/9*t**v + 0*t + 0 - 2/9*t**4 + 4/9*t**3 = 0.
0, 1
Let j(x) be the second derivative of -x**4/12 - 35*x. Find f, given that j(f) = 0.
0
Let n(r) = r - 1. Let b(j) = -j**2 + 7*j - 3. Let i(f) = b(f) - 3*n(f). Let t be i(3). Let -z - t*z + 3*z - z**2 = 0. What is z?
-1, 0
Suppose -2*a + 0*o = -3*o - 303, -4*a + 605 = -5*o. Let l be (6/(-10))/((-405)/a). Factor 0*u - 2/9*u**2 + l.
-2*(u - 1)*(u + 1)/9
Let w be ((-5)/140)/((-81)/1536). Let q = -2/189 + w. Factor q + 50/3*h**2 - 20/3*h.
2*(5*h - 1)**2/3
Let g(h) be the second derivative of 3*h**5/20 - 7*h**4/4 + 15*h**3/2 - 27*h**2/2 - 5*h. Factor g(w).
3*(w - 3)**2*(w - 1)
Suppose -3/7*v**3 + 0 + 3/7*v - 15/7*v**4 + 15/7*v**2 = 0. Calculate v.
-1, -1/5, 0, 1
Let g = 2 + 0. Suppose -g = 3*p - 11. Factor -2*y**2 - 3*y**p - 10*y**4 - 4*y**3 + 5*y**4.
-y**2*(y + 1)*(5*y + 2)
Suppose 0 = 6*t - 2*t. Suppose t = -5*w + 15 + 10. Solve 4/3*p**2 + 2/3*p**w - 2/3*p + 0*p**3 - 4/3*p**4 + 0 = 0.
-1, 0, 1
Let z = 20 - 18. Let k(b) be the first derivative of 0*b + 3 + 0*b**z + 1/10*b**4 - 2/15*b**3. Determine s, given that k(s) = 0.
0, 1
Let f(q) be the second derivative of -5*q**4/6 + 35*q**3/6 + 10*q**2 - 8*q. Factor f(y).
-5*(y - 4)*(2*y + 1)
Suppose 7/2*p**3 + 1/2*p**4 + 15/2*p**2 + 2 + 13/2*p = 0. What is p?
-4, -1
Let x(m) be the second derivative of -m + 7/30*m**5 + 1/3*m**3 - 1/2*m**2 - 1/20*m**6 - 5/12*m**4 + 0. Let t(q) be the first derivative of x(q). Factor t(o).
-2*(o - 1)**2*(3*o - 1)
Let z be (7/(-14))/((-2)/8). Let r(u) be the second derivative of 2/3*u**4 - 1/84*u**7 - 7/20*u**5 - 2*u + 0 - 3/4*u**3 + 1/2*u**z + 1/10*u**6. Factor r(t).
-(t - 2)*(t - 1)**4/2
Let q be (-8)/4*2 + 2. Let n(b) = b**3 + 4*b**2 + 3*b. Let s be n(q). What is j in -1/2*j**3 + 1/2*j - 1/2*j**s + 1/2 = 0?
-1, 1
Suppose 0 = 3*z - 18 - 30. Let a(c) = c**2 - 17*c + 20. Let f be a(z). Let 0*v + 0*v**2 + 2/3*v**5 + 0*v**3 + 0 - 2/3*v**f = 0. Calculate v.
0, 1
Factor 2*y**3 - 2*y**3 + 3*y**3 - 3*y.
3*y*(y - 1)*(y + 1)
Let v(u) = 1. Let f(g) = 3. Let x(w) = 6*f(w) - 17*v(w). Let y(a) = 2*a**4 - 6*a**3 + 4*a**2 + 5. Let n(h) = -5*x(h) + y(h). Factor n(p).
2*p**2*(p - 2)*(p - 1)
Let l = -44/3 - -15. Let t(g) be the first derivative of 0*g**2 + 1/9*g**3 + 1 - l*g. Suppose t(q) = 0. What is q?
-1, 1
Let h(m) = -5*m**3 - 5*m**2 - 31*m - 31. Let t(a) = 11*a**3 + 9*a**2 + 63*a + 63. Let w(r) = -9*h(r) - 4*t(r). Determine o so that w(o) = 0.
-3
Let q be (-1)/(-5)*(-5)/(-2). Let o = 7 - 5. Solve 0 - q*m**3 + 1/4*m**o + 0*m = 0.
0, 1/2
Let v = -161 + 806/5. Let 0 + 1/5*s - v*s**3 + 0*s**2 = 0. Calculate s.
-1, 0, 1
Let v(o) be the first derivative of -3*o**4/4 + 3*o**3 - 9*o**2/2 + 3*o - 5. Solve v(k) = 0 for k.
1
Suppose -2 = 4*i - 30. Suppose -2*a = -i*a + 25. Factor -2 - f**4 - 4*f**3 + 3*f**4 - f + a*f.
2*(f - 1)**3*(f + 1)
Let d be ((-390)/(-45))/((-2)/(-3)). Let z be 4/(-70)*(d - 23). Suppose -z - 6/7*v + 0*v**2 + 2/7*v**3 = 0. Calculate v.
-1, 2
Let s(z) = z**3 - 6*z**2 - 3*z - 4. Let u(v) = 6*v**3 - 31*v**2 - 14*v - 21. Let f(k) = -33*s(k) + 6*u(k). Find c, given that f(c) = 0.
-2, -1
Let -4*a**2 + 4*a**4 + 4*a**3 + a**4 - a**4 - 4*a**2 = 0. What is a?
-2, 0, 1
Let q(o) be the second derivative of -o**6/105 + 4*o**5/35 - 4*o**4/7 + 32*o**3/21 - 16*o**2/7 + 10*o. Factor q(d).
-2*(d - 2)**4/7
Let r be 12/(-2)*(0 + 2/(-42)). Determine m so that 2/7*m**3 + 0*m - r*m**2 + 0 = 0.
0, 1
Let j(u) = -u**3 - 4*u**2 - u. Let x be j(-4). What is o in -1 + o + 2*o**3 - 7*o - 3*o**x + 4 + 4*o**3 = 0?
-1, 1
Let d = 1/49 - -13/49. Let q = -1 + 3. Find u such that d + 2/7*u**q - 4/7*u = 0.
1
Let z(m) be the second derivative of m**5/140 - m**4/21 + 2*m**3/21 - 9*m. Suppose z(u) = 0. What is u?
0, 2
Suppose 2*c + 3*c = 0. Suppose -a + w + w = 6, -2*a + w = c. Let 6*n**2 + 4*n**4 - n + n**5 - a*n**2 + 6*n**3 + 2*n = 0. Calculate n.
-1, 0
Let q(m) be the third derivative of -m**6/240 - m**5/40 - 5*m**3/6 + 6*m**2. Let u(c) be the first derivative of q(c). Solve u(y) = 0 for y.
-2, 0
Let g(i) = i**3 + 2*i**2 - 11*i - 22. Let n be g(-3). Solve 1/4*v + 0 + 1/4*v**4 - 1/4*v**3 - 1/4*v**n = 0 for v.
-1, 0, 1
Let y(a) be the second derivative of a**7/315 - a**6/90 - a**5/90 + a**4/18 - a**2 - 3*a. Let g(f) be the first derivative of y(f). Let g(o) = 0. Calculate o.
-1, 0, 1, 2
Let o be 39/9 - 6/(-9). Let y(x) be the second derivative of 0 - 1/24*x**4 + 1/120*x**6 + x + 1/8*x**2 + 0*x**o + 0*x**3. Factor y(q).
(q - 1)**2*(q + 1)**2/4
Let b(c) = 2*c**2 - 5*c - 7. Let n(r) = 2*r**2 - 6*r - 8. Let u(g) = 6*b(g) - 5*n(g). Let u(w) = 0. Calculate w.
-1, 1
Let c(b) be the second derivative of 3*b + 5/8*b**4 + 0 + 1/4*b**3 - 3/4*b**2 + 9/40*b**5. Determine f, given that c(f) = 0.
-1, 1/3
Let a(b) be the first derivative of b**5/40 - 3*b**2 + 4. Let r(n) be the second derivative of a(n). Find x such that r(x) = 0.
0
Suppose -4*m - 30 = -m. Let a be 16/m*(-25)/10. Factor a*o**3 + 0 + 2/3*o**5 - 8/3*o**2 + 2/3*o - 8/3*o**4.
2*o*(o - 1)**4/3
Let o(f) = -9*f**2 - 7*f. Let b(y) be the first derivative of 9*y**3 + 10*y**2 - y - 1. Suppose a = 5*a - 8. Let u(m) = a*b(m) + 7*o(m). Factor u(g).
-(3*g + 1)*(3*g + 2)
Suppose -j = 5*j - 3*j. Solve j*x + 2/3*x**2 + 0 = 0 for x.
0
Let b(u) be the second derivative of u**5/60 - u**3/6 + u**2/3 + 2*u. Determine k so that b(k) = 0.
-2, 1
Let s(u) be the second derivative of 0*u**2 + 0*u**4 + 1/150*u**6 + 1/100*u**5 + 0 + 0*u**3 - 3*u. Factor s(h).
h**3*(h + 1)/5
Solve 0*s**5 - 5*s**4 + 2*s**4 - 3*s**5 = 0.
-1, 0
Let u(l) be the third derivative of l**6/60 - 3*l**5/20 + l**4/6 + 37*l**2. Factor u(w).
w*(w - 4)*(2*w - 1)
Let h(c) = c**3 + 7*c**2 + 10*c + 6. Let k(a) = -5*a**3 - 36*a**2 - 51*a - 31. Let r(x) = -8*x + 5. Let m be r(2). Let d(f) = m*h(f) - 2*k(f). Factor d(b).
-(b + 1)*(b + 2)**2
Let a be 1/(-3) + 12/36. Suppose a*h + 0*h**2 + 0 + 1/4*h**3 + 1/4*h**4 = 0. Calculate h.
-1, 0
Let a = 34 + -30. Let d(w) be the second derivative of -a*w + 0 + 5/12*w**3 + 1/4*w**2 + 1/6*w**4. Solve d(p) = 0.
-1, -1/4
Let x be (0/1)/(-4 - -2). Let c(n) be the third derivative of 0*n**4 - 1/21*n**3 + 1/105*n**5 - 2*n**2 + x*n + 0*n**6 - 1/735*n**7 + 0. Solve c(f) = 0.
-1, 1
Let l(g) = g**3 + 9*g**2 + 6*g - 8. Let s be l(-8). Suppose -s - 16 = -2*d - 5*a, 10 = -d + 3*a. Factor -1/4*j - 11/4*j**d + 16*j**5 - 9*j**3 - 4*j**4 + 0.
j*(j - 1)*(4*j + 1)**3/4
Let z(p) = -p - 45. Let w be z(0). Let j be (-33)/w + (-1)/3. Let -1/5 + 1/5*h**5 - 2/5*h**2 + j*h**3 - 3/5*h + 3/5*h**4 = 0. What is h?
-1, 1
Suppose 6*s = 4*s + 12. Suppose -3*n = -5*y + s, -3*n + 0*n - 6 = 0. Factor 4/3*w**3 + y*w + 0 + 2/3*w**4 + 0*w**2.
2*w**3*(w + 2)/3
Let t(v) be the second derivative of -v**7/56 + v**6/40 + 3*v**5/40 - v**4/8 - v**3/8 + 3*v**2/8 + 27*v. Determine r so that t(r) = 0.
-1, 1
Let p be -2 + 0 + 2 + 2. Suppose 0 = -4*f + 8*f + p*o - 10, 2 = 3*f - 4*o. Determine k so that -k**2 + 0*k**4 + 3*k**f