(-2)/(-3). Let 0 + y*v**2 + v = 0. What is v?
-2, 0
Let x(d) be the second derivative of d**4/42 + 4*d**3/21 + 4*d**2/7 - 11*d. What is b in x(b) = 0?
-2
Let y(x) be the third derivative of -x**8/80640 - x**7/20160 - x**5/20 + 2*x**2. Let r(w) be the third derivative of y(w). Find f, given that r(f) = 0.
-1, 0
Let k = -1 + 9. Suppose k = i + 3*i. Determine t, given that t**2 + 0*t**i + t**3 - 2*t**2 = 0.
0, 1
Let l(i) = i**3 + 4*i**2 + i + 2. Let o be l(-4). Let h be o/5 + (-96)/(-15). Determine y, given that -h*y + 3 - 4*y**2 + 6*y**2 + y**2 = 0.
1
Let c = 61/133 - -13/19. Find q such that -c - 2/7*q**2 - 8/7*q = 0.
-2
Let u(m) = m**4 - m**2 + m + 1. Let h(g) = -5*g**4 - 2*g**3 + 3*g**2 + 2*g - 10. Let r(i) = h(i) + 6*u(i). Let r(a) = 0. Calculate a.
-2, 1, 2
Let -7*a**4 - 3*a**3 - 8*a + 11*a**3 - 44*a**2 + 21*a**4 + 30*a**4 = 0. Calculate a.
-1, -2/11, 0, 1
Let k(m) be the first derivative of 4 - 1/9*m**3 + 1/6*m**2 + 2/3*m. Suppose k(d) = 0. Calculate d.
-1, 2
Let y(u) be the second derivative of u**7/273 - u**5/130 + 18*u. Factor y(l).
2*l**3*(l - 1)*(l + 1)/13
Determine z so that 5*z**3 - 35*z + 29 + 2*z**2 - 9 + 8*z**2 = 0.
-4, 1
Suppose 2*o + 1 = -9. Let s(l) = 2*l**3 - 2*l**2 - 4*l + 6. Let w(n) = -3*n**3 + 3*n**2 + 3*n - 5. Let c(i) = o*s(i) - 6*w(i). What is q in c(q) = 0?
0, 1/2
Let z(i) be the second derivative of -i**4/60 + i**3/30 + i**2/5 + 5*i. Factor z(j).
-(j - 2)*(j + 1)/5
Let w be (-1)/(((-3)/3)/11). Let u(v) = -4*v**2 + 7*v. Let j(r) = 2*r**2 - 4*r. Let a(d) = w*j(d) + 6*u(d). Determine c so that a(c) = 0.
-1, 0
Let n(h) = 2*h**2 - 19*h + 11. Let z be n(9). Let q(a) be the second derivative of 1/20*a**5 + 0*a**4 - a + 0*a**3 + 0*a**z + 0. Factor q(c).
c**3
Let t(i) = -8*i**2 - 11. Let p(x) = 4*x**2 + 6. Let f(w) = 11*p(w) + 6*t(w). Factor f(y).
-4*y**2
Factor w**3 + 8*w + 9*w**2 + 4 - 8*w**2 + 4*w**2.
(w + 1)*(w + 2)**2
Factor 3*t**3 - 4 - t**4 + 4 - 3176*t**2 + 3174*t**2.
-t**2*(t - 2)*(t - 1)
Let r(f) be the third derivative of 0*f**4 + 1/20*f**5 - 1/20*f**6 + 0 - 5*f**2 + 0*f**3 + 0*f + 1/70*f**7. Factor r(d).
3*d**2*(d - 1)**2
Factor -3*x + 6*x**3 - 8*x**5 + 3*x**4 - 5*x**2 + 5*x**5 + 3 - x**2.
-3*(x - 1)**3*(x + 1)**2
Let p(w) be the second derivative of 5*w**4/48 - 5*w**3/12 - 25*w. Solve p(d) = 0.
0, 2
Let i(b) be the first derivative of 3 + 4*b + 2/3*b**3 + 3*b**2. Factor i(h).
2*(h + 1)*(h + 2)
Let w(z) be the third derivative of 3*z**2 + 1/1155*z**7 + 0*z + 0*z**4 + 0 - 1/330*z**6 + 1/330*z**5 + 0*z**3. Let w(i) = 0. Calculate i.
0, 1
Let w(j) be the third derivative of -j**7/420 + j**6/240 + j**5/120 - j**4/48 - 9*j**2. Factor w(v).
-v*(v - 1)**2*(v + 1)/2
Let s(z) be the second derivative of 49*z**5/25 + 35*z**4/3 + 176*z**3/15 + 24*z**2/5 - 2*z + 25. Factor s(f).
4*(f + 3)*(7*f + 2)**2/5
Let q(h) be the first derivative of h**6/2 + h**5 - h**4/4 - 5*h**3/3 - h**2 - 5. Factor q(d).
d*(d - 1)*(d + 1)**2*(3*d + 2)
Factor 10*h**4 + 4*h**5 - 4*h**2 - 22*h**4 + 16*h**4 - 12*h**3 + 8*h.
4*h*(h - 1)**2*(h + 1)*(h + 2)
Let a(g) be the first derivative of -g**5/45 + g**4/36 + g**3/27 - g**2/18 - 1. Determine o, given that a(o) = 0.
-1, 0, 1
Let i(x) be the second derivative of -x**7/231 - 2*x**6/165 - 4*x. Factor i(a).
-2*a**4*(a + 2)/11
Let x(k) be the first derivative of 2/9*k**3 + 2 + 1/3*k**2 + 1/18*k**4 - k. Let u(t) be the first derivative of x(t). Factor u(r).
2*(r + 1)**2/3
Let f(d) be the second derivative of 7*d**4/4 + 6*d**3 - 6*d**2 + 3*d. Factor f(h).
3*(h + 2)*(7*h - 2)
Let o(j) = 7*j + 8. Let t be o(-4). Let v = t + 20. Determine m so that 6*m**2 + v + 3/2*m = 0.
-1/4, 0
Suppose f = 2*c - 4, -3*f - 8 = 4*c - 8*c. Factor -2/3 + 2/3*y**c + 1/3*y**3 - 1/3*y.
(y - 1)*(y + 1)*(y + 2)/3
Let z(i) be the third derivative of -i**5/360 - i**4/36 - i**3/12 - 12*i**2. Find f such that z(f) = 0.
-3, -1
Factor -1/2 + 2*r**2 - 3/2*r.
(r - 1)*(4*r + 1)/2
Let c be -3 - ((-58)/(-14))/((-9)/9). Solve -2/7*k - 10/7*k**3 + 0 - 4/7*k**4 - c*k**2 = 0 for k.
-1, -1/2, 0
Suppose v + 3 = -2*w, -2*w + 0*v + 15 = -5*v. Suppose f**2 + w + 1/2*f**3 + 1/2*f = 0. What is f?
-1, 0
Let z = 26 + -181/7. Let g(b) be the second derivative of 2/21*b**3 + 0 - 2*b - 1/42*b**4 - z*b**2. Find m such that g(m) = 0.
1
Let v = -11 + 16. Let b(n) = -n**3 + 5*n**2 + 2. Let a be b(v). Find c such that -2/9 + 2/9*c**a - 4/9*c + 4/9*c**3 = 0.
-1, -1/2, 1
Let p be ((-8296)/54)/((-20)/(-6)). Let b = p - -236/5. Factor 8/9 + b*q**2 + 32/9*q - 14/9*q**3.
-2*(q - 2)*(q + 1)*(7*q + 2)/9
Let k(z) be the first derivative of -z**3/12 - z**2/8 + 3*z/2 + 15. Factor k(d).
-(d - 2)*(d + 3)/4
Let b(l) be the first derivative of -l**6/10 + 3*l**4/4 + l**3 + 2*l + 2. Let v(f) be the first derivative of b(f). Find r, given that v(r) = 0.
-1, 0, 2
Let u(v) be the third derivative of -v**7/1260 + v**6/180 - v**5/60 - v**4/24 - 3*v**2. Let r(b) be the second derivative of u(b). What is d in r(d) = 0?
1
Solve -45*q**3 + 20*q**4 - 5*q - 43*q**2 + 78*q**2 - 5*q**2 = 0 for q.
0, 1/4, 1
Factor -5*s - 4 + 3*s**2 - 6*s**2 - s + 1.
-3*(s + 1)**2
Suppose 0 = 4*f - v + 38, -5*v + 11 - 1 = 0. Let y(l) = l**2 - 3*l + 4. Let r(c) = -2*c**2 + 7*c - 9. Let p(k) = f*y(k) - 4*r(k). Factor p(o).
-o*(o + 1)
Let z(w) = -w**3 - 6*w**2 - w + 2. Let x be z(-5). Let g = -15 - x. Factor 1/2*d**g + 0 + 1/2*d + d**2.
d*(d + 1)**2/2
Suppose -p + 0*p = -5. Let u(x) = 2*x - 7. Let k be u(p). Factor -6*m**4 + 3*m + 7*m**k - 3*m - 10*m**3.
-3*m**3*(2*m + 1)
Let z(k) be the first derivative of k**5/5 - 3*k**4/2 + 13*k**3/3 - 6*k**2 + 4*k + 6. What is r in z(r) = 0?
1, 2
Let y(n) be the first derivative of -9*n**7/140 - 3*n**6/40 + n**5/2 - n**4/2 - 3*n**2/2 + 1. Let l(j) be the second derivative of y(j). Factor l(a).
-3*a*(a + 2)*(3*a - 2)**2/2
Let x(c) be the third derivative of c**5/390 + 3*c**4/26 + 27*c**3/13 + c**2. Factor x(j).
2*(j + 9)**2/13
Find i, given that 8/13*i**2 + 2/13*i**5 + 16/13*i**3 + 0 + 0*i + 10/13*i**4 = 0.
-2, -1, 0
Let d(i) be the second derivative of 1/4*i**4 - 5/6*i**3 - i - 1/30*i**6 + 1/20*i**5 + i**2 + 0. Determine j, given that d(j) = 0.
-2, 1
Let l(p) be the second derivative of p**5/5 - 2*p**3 - 4*p**2 - 3*p. Factor l(s).
4*(s - 2)*(s + 1)**2
Suppose -h + 24 = h. Let g be h/7 - (-8)/28. Suppose -g*b + 2*b**2 - 1 - 1 + 0*b + 2*b**3 = 0. Calculate b.
-1, 1
Let v(b) be the first derivative of -5*b**4/4 - b + 5. Let x be v(-1). Factor 8/3*g**3 + 8/3*g + 2/3*g**4 + 2/3 + x*g**2.
2*(g + 1)**4/3
Suppose -6 = -2*j, 111 = -0*o + 4*o + j. Let -4*w + o - 14*w**2 - 27 = 0. Calculate w.
-2/7, 0
Let p be (-1 - -1)*(-6 - 117/(-18)). What is l in 2/3*l**3 - 4/3*l**2 + 2/3*l**4 + 0*l + p = 0?
-2, 0, 1
Find q, given that 6/5*q**2 + 0 - 6/5*q**4 - 4/5*q - 2*q**5 + 14/5*q**3 = 0.
-1, 0, 2/5, 1
Let k(a) be the third derivative of a**7/1680 + a**6/240 + a**5/80 + a**4/48 - 3*a**3/2 + 8*a**2. Let h(f) be the first derivative of k(f). Factor h(z).
(z + 1)**3/2
Let f(z) be the third derivative of -z**8/672 + z**6/80 + z**5/60 - 3*z**2 + 10*z. Factor f(x).
-x**2*(x - 2)*(x + 1)**2/2
Let y(s) be the first derivative of -s**6/40 + 9*s**5/80 - s**4/8 + 7*s + 4. Let t(p) be the first derivative of y(p). Factor t(v).
-3*v**2*(v - 2)*(v - 1)/4
Let r(j) be the first derivative of j**8/2520 - j**7/1260 - j**6/540 + j**5/180 - j**3 - 2. Let x(b) be the third derivative of r(b). Factor x(i).
2*i*(i - 1)**2*(i + 1)/3
Let d(w) = -2*w**3 - 3*w**2 + 2*w + 1. Let a be d(-3). Suppose 0 = 2*o + 5*c - 24, -3*c = -5*o - 6*c + a. Suppose -2*b**2 + 0*b**o - 2*b + 2*b = 0. What is b?
0
Let i(q) = 5*q**3 - 24*q**2 + 19*q. Let j(z) = 3*z**3 - 16*z**2 + 13*z. Let a(t) = 5*i(t) - 7*j(t). Solve a(v) = 0 for v.
0, 1
Let l = 393 - 1189/3. Let a = -44/15 - l. Factor a*z**3 - 4/5 + 0*z**2 - 6/5*z.
2*(z - 2)*(z + 1)**2/5
Suppose 0*k + 2*k = 28. Suppose -2*u = 2*r - 6, k = 2*r + 2*r + 5*u. Factor -r - 1/2*l + 1/2*l**2.
(l - 2)*(l + 1)/2
Let n(z) be the first derivative of -z**4/26 + 4*z**3/39 - z**2/13 - 5. Factor n(c).
-2*c*(c - 1)**2/13
Let q = -1 + 7. Find k, given that 1 - q*k**3 - 5*k**2 - 10*k**3 - 19*k**2 + 15*k - 3 = 0.
-2, 1/4
Suppose 4*c - 5*m + 13 = 0, -5*m + 33 = 2*c + 2. Let h(w) be the first derivative of 1/9*w**c + 1/3*w - 1/3*w**2 + 2. Solve h(j) = 0.
1
Let a = -4 + 7. Let o be (1 - 4)/(a/(-2)). Factor 4*d + o*