 102*l - 52 - 220*l**2 = 0.
17
Suppose 3*v = -3*j + 42, 0 = -5*j + 4*j. Let t be -15 + v - 1/(-1). Solve 0 + 0*x**2 + t*x + 1/2*x**3 + 1/2*x**4 = 0 for x.
-1, 0
Let 8/7*q + 10/7*q**3 + 16/7*q**2 + 2/7*q**4 + 0 = 0. Calculate q.
-2, -1, 0
Let h = 0 - -2. Let x be (-2)/(-6)*(4 - -2). Suppose 3*o**4 + h*o**3 - 2*o**2 - o**4 - x*o**3 - 4*o**3 + 4*o**5 = 0. What is o?
-1, -1/2, 0, 1
Let p(y) = -6*y**5 + 6*y**4 - 12*y**3 - 3*y**2. Let m(r) = r**5 - r**4 + r**3. Let c(d) = -35*m(d) - 5*p(d). Solve c(u) = 0 for u.
-1, 0, 3
Let o(v) be the third derivative of v**6/6 + v**5/5 - 2*v**4 + 8*v**3/3 - 2*v**2. Factor o(z).
4*(z - 1)*(z + 2)*(5*z - 2)
Factor -3/7*l**2 - 3/7 + 6/7*l.
-3*(l - 1)**2/7
Let b = -5 + 8. Suppose -b*c = -3*d + c - 4, -c = -d. What is t in -3*t**4 + t**3 + t**5 + d*t**4 + t**4 = 0?
-1, 0
Factor -2/15*k**4 + 8/15*k - 2/15 + 8/15*k**3 - 4/5*k**2.
-2*(k - 1)**4/15
Let o = 215/438 - -2/219. Factor 1/2*z**3 - z**2 + 0 + o*z.
z*(z - 1)**2/2
Let y(n) = -2*n**3 - 2 - 4*n - 4*n**2 + 0*n**3 + 3*n**3 + 5*n. Let j be y(4). Let -j*d + 14*d**2 + 49/2*d**5 - 14*d**4 - 45/2*d**3 + 0 = 0. What is d?
-1, 0, 2/7, 1
Factor 27*a**2 + 5*a**3 - 24*a**2 - 2*a**3.
3*a**2*(a + 1)
Let v(d) be the third derivative of d**7/315 + d**6/90 + d**2. Solve v(c) = 0.
-2, 0
Solve 3*m + 2*m + 0*m - 7*m**4 + 2*m**4 + 10*m**2 + 5*m**5 - 10*m**3 - 5 = 0.
-1, 1
Solve -2/19*x**2 - 2/19*x + 0 + 2/19*x**3 + 2/19*x**4 = 0 for x.
-1, 0, 1
Suppose -4*n + 18 = 5*i, 3*i + 6*n - n = 16. Factor 4/3 + 1/3*x**4 + 4/3*x - 2/3*x**3 - x**i.
(x - 2)**2*(x + 1)**2/3
Let g be ((-1)/(1/3))/(-1). Suppose j = -g*j. Determine p, given that 0*p**2 + j*p + 0 + 2/7*p**3 = 0.
0
Let k(a) be the second derivative of 5*a + 0 - 1/30*a**4 + 0*a**3 + 1/5*a**2. Solve k(z) = 0.
-1, 1
Let c = 5 - 2. Let -11*i**4 - 6*i**3 + i - c*i**3 - 4*i**5 - 3*i**2 + 2*i**2 = 0. Calculate i.
-1, 0, 1/4
Suppose -13 = 5*b - 23. Let c = 2/223 - -436/1115. Let -2/5 - c*u**b - 4/5*u = 0. What is u?
-1
Let n(j) be the first derivative of -38*j**3 + 1/2*j**6 + 2 + 75/4*j**4 + 42*j**2 - 24/5*j**5 - 24*j. Factor n(o).
3*(o - 2)**3*(o - 1)**2
Factor -5/3*n**4 - 1/3*n**5 + 0 - 7/3*n**3 - n**2 + 0*n.
-n**2*(n + 1)**2*(n + 3)/3
Let x(k) be the first derivative of 3/4*k**2 + 9/4*k**4 + 1/4*k**6 + 0*k - 2 + 2*k**3 + 6/5*k**5. Solve x(g) = 0.
-1, 0
Let u be 2 - (-4)/(12/9). Let h = u + -3. Factor -2*j**3 - j**4 - 3*j**2 + h*j**3 + 3*j**3 + j.
-j*(j - 1)**3
Let p be (0 - -1)*(-8)/4*-1. Factor -1/2*i**4 - 3*i**2 - 2*i**3 - p*i - 1/2.
-(i + 1)**4/2
Let k be (4 + -7 + 1)*-1. Suppose -1/2*y**k + 1/2*y**3 - y + 0 = 0. Calculate y.
-1, 0, 2
Let k = 8/9 + -2/9. Factor -4/3*h**2 + k + 1/3*h - h**3.
-(h + 1)**2*(3*h - 2)/3
Factor 0 - 2/7*j**4 - 8/7*j + 6/7*j**3 + 0*j**2.
-2*j*(j - 2)**2*(j + 1)/7
Suppose 5*j - 21 = -6. Let b(i) be the second derivative of -1/3*i**j + 0 - i + 2/15*i**4 + 1/5*i**2. Factor b(v).
2*(v - 1)*(4*v - 1)/5
Let g = -4 + 9. Suppose -g*d + 13 = 3. Let 2*z**2 - d*z**2 + 3*z**2 + 2*z - z**2 = 0. Calculate z.
-1, 0
What is i in 0*i - 1/8*i**2 + 0 + 1/8*i**3 = 0?
0, 1
Suppose r - 3 = 3*q + 3*r, -q + 5*r + 16 = 0. Let b be (q + -1)/(-11 + 10). Let b + 1/3*p**2 - 1/3*p = 0. What is p?
0, 1
Suppose 0 = 8*v - 3*v + 4*n - 10, 0 = 3*v - n - 6. Factor -16/9*j + 2/9*j**v + 32/9.
2*(j - 4)**2/9
Factor 4/13*k**2 + 2/13*k**5 - 4/13*k**4 + 0 - 2/13*k + 0*k**3.
2*k*(k - 1)**3*(k + 1)/13
Suppose -3 = 3*h - 15. Suppose 3*g = 5*v - h, 2*g = -2*v - 2*v + 12. Factor a - 2*a**3 - v*a**2 + 2*a - a + 2.
-2*(a - 1)*(a + 1)**2
Factor 0*n + 2/11*n**3 + 4/11*n**2 + 0.
2*n**2*(n + 2)/11
Suppose -9*q - 1 = 44. Let u be ((-75)/90)/(q/4). Factor 2/3*n - 2/3 - u*n**3 + 2/3*n**2.
-2*(n - 1)**2*(n + 1)/3
Let n(s) = -14*s. Let g be n(-1). Let h be (1 - g/18) + 0. Suppose 0*q**2 + 0 - 2/9*q**3 + h*q = 0. Calculate q.
-1, 0, 1
Let v(f) = f**2 - 11*f - 9. Let w be v(12). Suppose w - 47*t**3 + 1 - 10*t + 8*t**2 + 45*t**3 = 0. What is t?
1, 2
Let y(p) be the third derivative of 9*p**8/896 - 3*p**7/80 + p**6/32 + 3*p**5/80 - 3*p**4/64 - p**3/16 - 9*p**2. Factor y(m).
3*(m - 1)**3*(3*m + 1)**2/8
Let k(h) = h**3 - 4*h**2 + 3. Let w be k(4). Factor -8*m**3 + 3*m**3 + 6*m - m**3 + 3*m**4 - w + 0*m**4.
3*(m - 1)**3*(m + 1)
Let m = 8 - 16. Let c(a) = -a**3 - 8*a**2 - a - 6. Let f be c(m). Solve -3/4*q**3 + 1/4*q**f + 1/2*q + 0 = 0.
-2/3, 0, 1
Let y(l) = -5*l**3 - 10*l**2 + 16*l - 1. Let b(n) = -n**3 - 2*n**2 + 3*n. Let s(z) = -z + 2. Let h be s(6). Let a(k) = h*y(k) + 22*b(k). Solve a(d) = 0 for d.
-2, -1, 1
Factor 6/5*r**3 + 2/5 - 7/5*r**2 - 1/5*r.
(r - 1)*(2*r + 1)*(3*r - 2)/5
Find y, given that -32/3*y - 8/3 - 14/3*y**2 = 0.
-2, -2/7
Let h be (0 + (-4)/14)*-7. Let j(m) be the third derivative of 1/48*m**4 + 1/24*m**3 + 1/240*m**5 + 0 + 2*m**h + 0*m. Factor j(d).
(d + 1)**2/4
Let o(g) = 4*g + 50. Let l be o(-12). Let m(k) be the first derivative of 4/5*k - 4 - 4/15*k**3 + 3/5*k**l. Find w, given that m(w) = 0.
-1/2, 2
Let n = -1 + 4. Suppose 2*d - d = -n*b - 4, b = -4*d + 39. Find k such that -4 - 4*k**5 + d*k**4 - 8*k**2 - 2*k**4 + 3 - 2*k**3 + 6*k = 0.
-1, 1/4, 1
Let z(j) be the second derivative of j**5/70 - j**4/21 + 4*j. What is m in z(m) = 0?
0, 2
Let r(v) = v**2 + 6*v - 27. Let g be r(-9). Solve -2/9*l**5 + 2/9*l**2 - 2/3*l**3 + 2/3*l**4 + 0*l + g = 0 for l.
0, 1
Let c(t) be the second derivative of t**6/6 + t**5/4 - 5*t**4/12 - 5*t**3/6 - 7*t. What is l in c(l) = 0?
-1, 0, 1
Let f(j) be the third derivative of j**7/1260 - j**6/270 + j**5/180 + j**3/3 - 4*j**2. Let l(i) be the first derivative of f(i). Factor l(r).
2*r*(r - 1)**2/3
Let m(j) be the second derivative of -j - 7/10*j**3 - 1/5*j**4 + 21/100*j**5 + 0 - 3/5*j**2 + 3/25*j**6. Determine b, given that m(b) = 0.
-1, -2/3, -1/2, 1
Factor -1/4*g**5 + 1/4*g + 1/2*g**2 + 0 - 1/2*g**4 + 0*g**3.
-g*(g - 1)*(g + 1)**3/4
Let r(v) = 5*v**3 - 5*v - 3. Let f be 7 + -2 + 4 + -6. Let u(a) = 14*a**3 - 14*a - 8. Let o(y) = f*u(y) - 8*r(y). Let o(i) = 0. Calculate i.
-1, 0, 1
Suppose 0 = -41*p + 87 - 5. Factor 0 + 0*g + p*g**3 - 4/5*g**2 - 8/5*g**4 + 2/5*g**5.
2*g**2*(g - 2)*(g - 1)**2/5
Let u(r) be the first derivative of -r**4/18 + r**2/3 + 4*r/9 - 40. Factor u(t).
-2*(t - 2)*(t + 1)**2/9
Factor -16 - 21*u + 3*u**2 - 18*u**2 - 11*u + 3*u**2.
-4*(u + 2)*(3*u + 2)
Let t(x) = 2*x**2 + x. Let c be t(-1). Let w = 3 - c. Determine g, given that 0*g**4 - g**3 + 0*g**4 - 2 + w*g**4 + 4*g - 3*g**3 = 0.
-1, 1
Suppose -6*v + 16 - 4 = 0. Factor 7/6*i + 5/6*i**v + 1/2 + 1/6*i**3.
(i + 1)**2*(i + 3)/6
Let u(v) = -v**3 + 10*v**2 + 13*v - 19. Let x be u(11). Let g**5 + 16/3*g**x + 4/3*g**2 + 0*g + 0 + 13/3*g**4 = 0. Calculate g.
-2, -1/3, 0
Let b(a) be the third derivative of -a**5/150 + a**4/20 - 2*a**3/15 + 7*a**2. Factor b(p).
-2*(p - 2)*(p - 1)/5
Let c = 4 - 2. Let k(h) be the first derivative of -1/6*h**3 + 2 + 0*h + 1/4*h**c. Factor k(g).
-g*(g - 1)/2
Let o(q) be the third derivative of 0*q**4 + 0*q**3 - 3*q**2 + 0 - 1/240*q**5 + 0*q. Solve o(b) = 0.
0
Let o be (30/(-45))/((-1)/6). Suppose o*s - 7*s = 0. Solve 1/3*u**2 + 0*u - 1/3*u**3 + s = 0 for u.
0, 1
Let u(b) = 4*b**2 - 8*b - 5. Let g(d) be the third derivative of d**5/30 - d**4/6 - d**3/3 - d**2. Let x(i) = -9*g(i) + 4*u(i). Let x(j) = 0. Calculate j.
1
Let d(b) be the second derivative of 1/18*b**3 + 1/180*b**5 + 0 - 2*b - 1/2*b**2 - 1/36*b**4. Let j(s) be the first derivative of d(s). Factor j(y).
(y - 1)**2/3
Let u = 6 - 3. Solve -5*s**2 - u - s + 4 + 4*s**2 + s**3 = 0 for s.
-1, 1
Let v(j) be the first derivative of 3/4*j**4 + 3*j**3 + 9/2*j**2 + 3*j + 2. Solve v(f) = 0.
-1
Let d(x) be the first derivative of x**5/5 + 17*x**4/20 + 7*x**3/5 + 11*x**2/10 + 2*x/5 + 11. Factor d(i).
(i + 1)**3*(5*i + 2)/5
Let w(u) be the first derivative of -3*u**8/112 + u**7/70 + u**6/20 - 5*u**2/2 + 2. Let q(k) be the second derivative of w(k). Factor q(h).
-3*h**3*(h - 1)*(3*h + 2)
Let m be ((-3)/(-1) + -4)*-5. Let u(j) be the second derivative of 1/2*j**4 + 0 + 3*j + 1/20*j**m + 4*j**2 + 2*j**3. Factor u(v).
(v + 2)**3
Let n = -27 + 9. Let g = n - -24. Suppose -40/3*p + g*p**4 - 20*p**3 + 74/3*p**2 + 8/3 = 0. What is p?
2/3, 1
Let l(f) be the second derivative of -f**4/6 + f**3 - 2*f**2 + 14*f. What is u in l(u) = 0?
1, 2
Let 6 + 20/3*g**2 + 2/3*g**5 + 14*g - 2*g**4 - 4*g**3 = 0. Calcul