. Let f be c(-19). Solve -1/3*b**f + 1/3 + 0*b = 0 for b.
-1, 1
Let c(o) = 3*o**2 - o - 7. Let d(k) be the second derivative of k**4/12 - 3*k**2/2 - 7*k. Let v(g) = 2*c(g) - 5*d(g). Solve v(y) = 0.
1
Let q(x) = x + 6. Let u be q(9). Let f be (0 - 3)/(u/(-10)). Solve a**3 + 0 + 0*a + 1/3*a**f = 0 for a.
-1/3, 0
Suppose 0 = -0*z + 2*z - 0*z. Let -1/4*y + 0 + z*y**2 + 1/4*y**3 = 0. What is y?
-1, 0, 1
Solve 16/9*n**2 + 2/9*n**5 + 0 - 4/9*n**4 + 0*n - 8/9*n**3 = 0.
-2, 0, 2
Suppose 0*f = -f + 2. Suppose 5*d - 10 = -0*d. Let -32*u**3 + 33*u**5 - 8*u**f - d*u**4 + 17*u**5 - 8*u**4 = 0. Calculate u.
-2/5, 0, 1
Let f = 316 - 313. Factor -3/5*o**5 - 3/5*o**2 + 0*o + 3/5*o**f + 3/5*o**4 + 0.
-3*o**2*(o - 1)**2*(o + 1)/5
Let o(p) be the second derivative of -2*p**5/45 + 5*p**4/36 - p**3/9 - 2*p**2 + 2*p. Let r(b) be the first derivative of o(b). Factor r(d).
-2*(d - 1)*(4*d - 1)/3
Let r(t) be the third derivative of t**6/40 + t**4/24 - t**3/6 - 2*t**2. Let b be r(1). Factor 4*w**3 - 1 - 4*w**b + 3*w - 3*w**2 + w**3.
(w - 1)**3
Let c = 29 + -29. Suppose p + c*p - 4 = 2*q, 5*p - 5*q - 20 = 0. Solve 2*x**2 + 10/9*x**p - 26/9*x**3 - 4/9 + 2/9*x = 0 for x.
-2/5, 1
Let u(q) be the first derivative of -3*q**4/8 - 3*q**3/2 - 9*q**2/4 - 3*q/2 - 1. Determine v, given that u(v) = 0.
-1
Suppose y - 4 = -3*r, 3*y - 8 = 3*r + y. Factor r - 1/6*j + 1/6*j**2 + 1/3*j**3.
j*(j + 1)*(2*j - 1)/6
Let d(i) be the second derivative of i**4/36 + i**3/9 - i**2/2 + 7*i. Factor d(l).
(l - 1)*(l + 3)/3
Suppose -4*u = -109 + 89. Let g(o) be the second derivative of o**3 + 0 - 1/2*o**4 + 2*o - o**2 + 1/10*o**u. Let g(b) = 0. Calculate b.
1
Factor -46*m**3 + 105*m + 48 + 264*m**2 + 86*m**3 + 104*m**3 + 27*m**4 + 87*m.
3*(m + 2)**2*(3*m + 2)**2
Let f(o) be the first derivative of -9*o**5/100 + o**4/20 + o**3/6 + o**2/10 - 4*o - 6. Let h(g) be the first derivative of f(g). Factor h(n).
-(n - 1)*(3*n + 1)**2/5
Let y = 143 + -139. What is b in 2*b**3 + 0 + 2/3*b**y + 2/3*b + 2*b**2 = 0?
-1, 0
Let u(b) = b**3 - 3*b**2 + 5. Let s be u(4). Let y = s - 19. Determine o, given that 0 + 1/3*o**y + 0*o + 1/3*o**3 = 0.
-1, 0
Let v(u) be the third derivative of u**6/140 - u**5/210 - u**4/7 + 4*u**3/21 - 20*u**2. Factor v(n).
2*(n - 2)*(n + 2)*(3*n - 1)/7
Let s = -30735733/423 + 72661. Let h = -4/47 - s. Solve -8/9 - h*r**2 - 8/9*r = 0.
-2
Let j(r) be the first derivative of -r**9/19656 - r**8/10920 + 7*r**3/3 - 1. Let v(f) be the third derivative of j(f). Factor v(k).
-2*k**4*(k + 1)/13
Let s(a) be the third derivative of a**6/540 + 7*a**5/45 + 49*a**4/9 + 2744*a**3/27 + 7*a**2 + 2. Factor s(d).
2*(d + 14)**3/9
Let n(a) be the third derivative of 1/20*a**5 + 1/6*a**3 + 0*a + 1/8*a**4 + 1/120*a**6 - 4*a**2 + 0. Factor n(l).
(l + 1)**3
Let i(t) be the second derivative of t**5/90 + t**4/54 - t**3/27 - t**2/9 + 31*t. Solve i(f) = 0 for f.
-1, 1
Suppose -37 = -3*k - 0*v + 5*v, v + 5 = 0. Suppose 0*l + k*l - 16 = 0. Factor -15*p**2 + 11*p**2 + p**4 + 3*p**l - 2*p**5 + 2*p.
-2*p*(p - 1)**3*(p + 1)
Let v(b) = 2*b**3 - 3*b**2 - b + 2. Let z be v(2). Suppose 0*d - 12 = -z*d. Solve -d*g**2 - 2 + 4*g**2 + g**2 = 0 for g.
-1, 1
Let r(f) be the third derivative of 1/36*f**5 - 1/120*f**6 + 0*f**3 - 1/630*f**7 + 0*f - 1/36*f**4 + 0 + 1/1008*f**8 - 10*f**2. Solve r(w) = 0.
-2, 0, 1
Let x(b) be the third derivative of -b**5/90 - b**4/18 - 7*b**2. Factor x(i).
-2*i*(i + 2)/3
Solve 12*v - 2 - 6 - 2*v**2 + 4*v**2 - 6*v**2 = 0.
1, 2
Let i(u) be the first derivative of -2*u**5/55 - u**4/22 + 2*u**3/11 + 5*u**2/11 + 4*u/11 + 1. Let i(n) = 0. Calculate n.
-1, 2
Let v be (-2)/4 + -5 + 345/54. Factor -2/9 + 8/9*m**3 - 4/3*m**2 - 2/9*m**4 + v*m.
-2*(m - 1)**4/9
Solve 2/3*n**5 + 0*n + 10/3*n**3 + 4/3*n**2 + 8/3*n**4 + 0 = 0.
-2, -1, 0
Let k(x) be the third derivative of x**5/60 + x**4/8 + x**3/3 + x**2. What is f in k(f) = 0?
-2, -1
Let r be 0*-1*(-2)/(-4). Let v be 1 - (-4 + 1 + r). Solve 1/3*a**v - 1/3*a**3 + 1/3*a - 1/3*a**2 + 0 = 0 for a.
-1, 0, 1
Let v be (166/60 - 3)*(-8)/56. Let o(r) be the second derivative of v*r**5 + r + 4/3*r**2 + 0 + 0*r**3 - 1/6*r**4. Solve o(n) = 0.
-1, 2
Let g(q) be the second derivative of -q**6/6 - 2*q**5 - 55*q**4/6 - 20*q**3 - 45*q**2/2 + 28*q. Suppose g(b) = 0. What is b?
-3, -1
Let g be (28/(-6))/(8/12). Let k(c) = 9*c**3 - 14*c**2 + 22*c - 3. Let f(r) = -9*r**3 + 15*r**2 - 21*r + 3. Let o(q) = g*f(q) - 6*k(q). Factor o(d).
3*(d - 1)**2*(3*d - 1)
Suppose 6 = 3*s, 0 = -3*a + 4*a + 3*s - 10. Let v(j) be the third derivative of 0*j - j**2 + 1/6*j**3 + 1/60*j**5 - 1/12*j**a + 0. Find d such that v(d) = 0.
1
Let u(w) be the first derivative of w**4/4 - 10*w**3/9 + 3*w**2/2 - 2*w/3 - 6. What is k in u(k) = 0?
1/3, 1, 2
Let k(a) be the third derivative of -a**7/42 - a**6/15 + 26*a**5/15 - 20*a**4/3 + 8*a**3 + 7*a**2 - 2. Factor k(q).
-(q - 2)**2*(q + 6)*(5*q - 2)
Let r(m) be the first derivative of m**3 + 9*m**2 + 15*m - 37. Find g, given that r(g) = 0.
-5, -1
Let z(x) = 6*x + 2. Let i(d) = -5*d**2 - 18*d - 3. Let v(s) = 4*s**2 + 17*s + 3. Let o(a) = 5*i(a) + 6*v(a). Let r(t) = -2*o(t) + 5*z(t). Factor r(p).
2*(p + 1)*(p + 2)
Suppose 1125 = 3*i + 1113. Factor 0 + 5/2*x**3 - x**2 - 3/2*x**i + 0*x.
-x**2*(x - 1)*(3*x - 2)/2
Let c(t) be the second derivative of -t**5/10 + t**4/2 - 4*t**2 + 36*t. Solve c(y) = 0.
-1, 2
Suppose 1 = n + 3. Let k(o) = 1. Let q(c) = 3*c**2 - 5. Let h(j) = n*k(j) - q(j). Factor h(f).
-3*(f - 1)*(f + 1)
Suppose 0 = -8*v - 6 + 22. Let n = 682/1169 - 2/167. Factor 10/7*s + v*s**2 - n.
2*(s + 1)*(7*s - 2)/7
Let n(b) = -2*b + 2. Let f be n(0). Factor 8*z - z**f - 9*z + 2 - 2.
-z*(z + 1)
What is d in -75*d**2 + 30*d**2 - 25*d - 50*d**2 + 20*d**3 = 0?
-1/4, 0, 5
Solve -15*b**3 + 23*b**3 + 5*b**2 - b**2 = 0 for b.
-1/2, 0
Suppose -2*o - z + 14 = -25, -z = 1. Let -5*n**5 - o*n**3 + 2*n**4 - 2*n + 27*n**3 - 3*n**2 + n**4 = 0. Calculate n.
-1, -2/5, 0, 1
Factor 159*t**3 - 6*t**2 - 157*t**3 + 2*t + 2*t**2.
2*t*(t - 1)**2
Suppose -2*n = 3*l - 23, -5*l + 39 = 2*n + 2. Suppose -5*a - 3 = -4*k + l, 3*a = -4*k - 6. Factor -1/4*s**4 + 1/4*s**2 + 1/4*s + k - 1/4*s**3.
-s*(s - 1)*(s + 1)**2/4
Let f(k) be the third derivative of 2/27*k**3 - 2*k**2 + 2/135*k**5 + 0 - 5/108*k**4 - 1/540*k**6 + 0*k. Solve f(y) = 0 for y.
1, 2
Let a = 7 + -8. Let r(x) = -x**2 + x. Let m(w) = -3*w**4 - 2*w**2 + 5*w. Let y(i) = a*m(i) + 5*r(i). Factor y(u).
3*u**2*(u - 1)*(u + 1)
Let g be (128/(-54))/(8/(-12)). Let c = g - 28/9. Factor -2/3*t**3 + 0 + 0*t + c*t**2.
-2*t**2*(3*t - 2)/9
Suppose 2*h + 21 = 5*h. Suppose -h*g = -2*g. Suppose 2/11*t**2 + 0*t + g = 0. Calculate t.
0
Suppose -5*u = 2 - 17. Let h be 24/9 + (2/(-1) - 0). Factor 0 + 2/3*j**u - 4/3*j**2 + h*j.
2*j*(j - 1)**2/3
Let j(a) be the second derivative of 0 + a - 17/18*a**4 - 14/9*a**3 - 4/3*a**2 - 17/60*a**5 - 1/30*a**6. Determine i so that j(i) = 0.
-2, -1, -2/3
What is a in 3 - 225*a**4 - 308*a**3 + 29*a**4 - 3 - 16*a - 128*a**2 = 0?
-1, -2/7, 0
Let m(w) = 6*w**2 - 4*w - 5 - 4*w + w**3 + 2*w**3 - 2*w**3. Let q be m(-7). Factor 1/4 + 0*u - 1/4*u**q.
-(u - 1)*(u + 1)/4
Let x(o) be the third derivative of -o**7/105 + o**6/100 + 7*o**5/150 - o**4/20 - 2*o**3/15 + 8*o**2 + 2*o. Determine u so that x(u) = 0.
-1, -2/5, 1
Let h(i) = -i**4 - 3*i**3 + 3*i**2 + 3*i. Let w(l) = 12*l**4 + 34*l**3 - 34*l**2 - 34*l. Let u(a) = 68*h(a) + 6*w(a). Factor u(m).
4*m**4
Suppose 5*l - 6*l = 2*m, -6 = 3*m. Let w(b) = -3*b**3 + 9*b + 2. Let v(s) = -5*s + 4*s - 3*s**2 + 4*s**2 + s**3. Let q(h) = l*v(h) + w(h). Factor q(z).
(z + 1)**2*(z + 2)
Let x = 21/8 + -31/24. Let l be ((-5)/3)/((-75)/90). Suppose -x*g**2 + l*g**3 - 2/3*g + 0 = 0. What is g?
-1/3, 0, 1
Let t(n) = -173*n**3 + 8*n**2 + 123*n + 32. Suppose 1 - 9 = r. Let l(z) = -260*z**3 + 12*z**2 + 184*z + 48. Let v(k) = r*t(k) + 5*l(k). Factor v(g).
4*(g - 1)*(3*g + 2)*(7*g + 2)
Find m, given that -1/5*m**5 - 1/5 + 2/5*m**3 - 1/5*m**4 + 2/5*m**2 - 1/5*m = 0.
-1, 1
Find k such that -3/7*k**2 - 9/7*k + 12/7 = 0.
-4, 1
Let s(h) be the third derivative of -h**5/75 - h**4/5 - 13*h**2. Suppose s(v) = 0. What is v?
-6, 0
Factor 0 + 0*j + 4/5*j**2 + 4/5*j**4 + 8/5*j**3.
4*j**2*(j + 1)**2/5
Suppose -7 - 1 = -2*q. Determine d, given that 213*d**3 + 12*d**q + 218*d**2 + 3*d**3 + 72*d + 36*d**3 + 86*d**4 + 8 = 0.
-1, -2/7
Facto