*l(h) + 3*b(h). What is m in c(m) = 0?
-2, 1
Let g = -13 + 79/6. Let y(n) be the third derivative of -1/48*n**5 + g*n**3 + 0 + 0*n + 2*n**2 - 1/12*n**4. Find m, given that y(m) = 0.
-2, 2/5
Let s(h) be the third derivative of -h**7/42 + h**6/24 + 5*h**5/12 + 5*h**4/8 + 13*h**2. What is a in s(a) = 0?
-1, 0, 3
Let c(r) = r - 11. Let u be c(13). Solve 0*a + 14*a**3 - 9*a**2 - a**u - 4*a = 0 for a.
-2/7, 0, 1
Let y(l) = 3*l**3 + 7*l**3 - 18*l**3 - 6 + 3*l**2 - 18*l**4 - 19*l**3. Let v(i) = -18*i**4 - 28*i**3 + 4*i**2 - 7. Let s(r) = 6*v(r) - 7*y(r). Factor s(n).
3*n**2*(n + 1)*(6*n + 1)
Let k = 3 - 11/4. Suppose 3/4*j - k - 3/4*j**2 + 1/4*j**3 = 0. What is j?
1
Let v(q) = -q**5 + q**3 + q**2 - q - 1. Let l(w) = -2*w**5 - 6*w**4 + 15*w**3 - 7*w**2 - 3. Let h(g) = -5*l(g) + 15*v(g). Determine y so that h(y) = 0.
0, 1, 3
Let h be -4*(-2)/4 - 1. Let -1/2*i**3 + i**2 - h + 1/2*i = 0. Calculate i.
-1, 1, 2
Suppose 5*a + 0*a = 5, -3*d - a - 188 = 0. Let k be ((-18)/d)/(10/14). Factor 8/5*l**2 + 12/5*l**3 + 8/5*l**4 + k*l + 0 + 2/5*l**5.
2*l*(l + 1)**4/5
Determine x, given that -1/3 - 1/3*x**2 + 2/3*x = 0.
1
Factor -2/3*h**2 - 2/3 + 4/3*h.
-2*(h - 1)**2/3
Factor -3*v**3 - 6/5*v + 0 - 21/5*v**2.
-3*v*(v + 1)*(5*v + 2)/5
Determine r so that r**5 + r - 68 - 2*r**4 + 4*r**2 + 6*r**3 + 66 - 8*r**3 = 0.
-1, 1, 2
Let q(r) be the third derivative of 0*r**5 - 1/36*r**4 - 1/630*r**7 + 0*r + 1/180*r**6 + 0 + 1/18*r**3 - 2*r**2. Suppose q(w) = 0. Calculate w.
-1, 1
Let x(d) be the second derivative of -d**6/90 + d**5/20 - d**4/36 - d**3/6 + d**2/3 + 16*d. What is b in x(b) = 0?
-1, 1, 2
Let a be (-1)/(-2) + 212/56 + -4. Factor -2/7*c**2 + a*c + 0.
-2*c*(c - 1)/7
Determine s, given that 2/5 - 6/5*s**3 - 2/5*s**2 + 6/5*s = 0.
-1, -1/3, 1
Let z(u) be the first derivative of 2*u**3/9 - u**2 + 4*u/3 + 5. Factor z(k).
2*(k - 2)*(k - 1)/3
Let z(c) be the first derivative of 9/4*c**2 + 3 - 2/3*c**3 - c. Factor z(u).
-(u - 2)*(4*u - 1)/2
Let u(i) = -6*i**2 + i + 4. Suppose 5*k = 5*l - 15, -3*l - 16 = 5*k - 3*k. Let c(f) = -6*f**2 + 4. Let j(a) = l*u(a) + 3*c(a). Factor j(o).
-2*(o + 1)*(3*o - 2)
Let r(i) be the third derivative of i**6/480 + i**5/120 - i**4/96 - i**3/12 - 18*i**2. Solve r(d) = 0 for d.
-2, -1, 1
Suppose -9 = 3*g, k - 3*g = 4 + 21. Let x = 33/2 - k. Factor 0 + x*j - j**2.
-j*(2*j - 1)/2
Let a be (-28)/(-120)*(-1)/(-7). Let z(c) be the third derivative of -1/3*c**3 + 0*c + 0 - c**2 - 1/20*c**6 + a*c**5 + 1/4*c**4. Determine j so that z(j) = 0.
-1, 1/3, 1
Factor 0*j**4 + 1/10*j**5 + 0*j - 1/10*j**3 + 0 + 0*j**2.
j**3*(j - 1)*(j + 1)/10
Let k(i) be the third derivative of i**7/1680 + i**6/480 + i**5/480 - 8*i**2. Find o such that k(o) = 0.
-1, 0
Suppose 11*i - 7*i = 8. Factor 16/9*z + 10/9*z**i + 8/9 + 2/9*z**3.
2*(z + 1)*(z + 2)**2/9
Let a(r) = -3*r**3 + 17*r**2 - 20*r + 1. Let o(w) = -w**2 + w + 1. Let k(h) = -a(h) - 5*o(h). Find s, given that k(s) = 0.
1, 2
Suppose -3*w = -2*g + 18, 2*g = 4*g + 4*w + 10. Let i = g - -2. Solve a**3 + i*a**2 - 2*a**2 - 4*a**2 = 0.
0, 1
Let y(b) = 12*b**2 - 36*b - 15. Let g(p) = -p**2 + p + 1. Let s(c) = 3*g(c) + y(c). Factor s(t).
3*(t - 4)*(3*t + 1)
Suppose 4 = 4*m - 24. Let o be (-1 + 1)*(m - 6). Factor o*w + 2*w**3 + 2/3*w**5 + 2*w**4 + 2/3*w**2 + 0.
2*w**2*(w + 1)**3/3
Let a(n) = -7*n**4 - n**3 - 31*n**2 + 13*n. Let j(m) = 3*m**4 + 15*m**2 - 6*m. Let f(y) = -6*a(y) - 13*j(y). Suppose f(t) = 0. What is t?
-3, 0, 1
Let i(h) be the first derivative of 0*h**2 + 24/25*h**5 + 0*h + 1 + 2/15*h**3 + 7/10*h**4. Factor i(l).
2*l**2*(3*l + 1)*(4*l + 1)/5
Suppose -18*q = -17*q + 4*y - 2, -4 = -2*q + 4*y. Factor -2/3*j**4 - 10/3*j**q + 8/3*j**3 + 4/3*j + 0.
-2*j*(j - 2)*(j - 1)**2/3
Let l(o) be the first derivative of -o**3/3 - 3*o**2/2 - 1. Determine p, given that l(p) = 0.
-3, 0
Let b(u) be the second derivative of -u**4/6 - 11*u**3/3 + 12*u**2 - 37*u. Factor b(f).
-2*(f - 1)*(f + 12)
Let b(m) = 1. Let i(a) = a - 2. Let l(z) = 4*b(z) - i(z). Let w be l(4). Factor 0*k**4 - w*k**5 - 2*k + 4*k**3 + 0*k**4.
-2*k*(k - 1)**2*(k + 1)**2
Let c be (57/(-36))/(3/(-6)). Let x = 7/2 - c. Determine d so that 0*d - x*d**2 + 0 = 0.
0
Let s(b) be the first derivative of -5*b**3/7 + 3*b**2/2 - 6*b/7 + 6. Factor s(o).
-3*(o - 1)*(5*o - 2)/7
Let d(w) be the second derivative of w**4/18 - 5*w**3/9 - 2*w - 7. Factor d(r).
2*r*(r - 5)/3
Let h(j) be the second derivative of j**7/14 - j**6/5 + 3*j**5/20 - 6*j. Suppose h(i) = 0. Calculate i.
0, 1
Let w(i) = -4*i**2 - 12*i - 2. Let c(d) = 1. Let b(x) = -6*c(x) + w(x). Suppose b(s) = 0. What is s?
-2, -1
Suppose -o - s = 13, 5*o - 2*s = -0*s - 79. Let i be ((-3)/(-2))/(o/(-20)). Factor -2/5 - 6/5*p**i - 6/5*p - 2/5*p**3.
-2*(p + 1)**3/5
Let x be 14/(-18) + 1 - 8/(-18). Let -x*d**4 + 0 + 2/3*d**2 - 2/3*d**3 + 2/3*d = 0. What is d?
-1, 0, 1
Let s = 19 + -8. Suppose 2*a = 3*a + 4*y + 17, 3*a + 4*y = -s. Factor -2*d**4 + d**4 + 0*d**a - d**3.
-d**3*(d + 1)
Let 2*d**3 + 6 + 6*d - 2*d**4 - 6 + 10*d**2 + 0 = 0. What is d?
-1, 0, 3
Let a(y) = -y**2 - 5*y - 4. Let v be a(-4). Let p = -364 + 2558/7. Suppose v + p*t**4 + 2*t**3 + 4/7*t**2 + 0*t = 0. What is t?
-1, -2/5, 0
Let h be 13/3 - (-3)/(-9). Let k(j) = -j + 6. Let z be k(h). Find q, given that 0 + 3*q**4 - z*q**3 + 0 + 2*q**2 + 2*q - 5*q**4 = 0.
-1, 0, 1
Let l(r) = r + 21. Let u be l(-15). Let a(j) be the first derivative of 1/15*j**5 + 0*j**4 + 0*j**3 + 0*j**2 - 3 - 1/18*j**u + 0*j. Factor a(y).
-y**4*(y - 1)/3
Let i(v) be the second derivative of v**4/18 + v**3/3 + 15*v. Factor i(c).
2*c*(c + 3)/3
Suppose 0 = -4*z + 3*g - 3, -2*z + 4*g + g = 19. Factor -7/2*f**z - 9/2*f**2 + 0 - f.
-f*(f + 1)*(7*f + 2)/2
Let r = 15 + -15. What is s in 2/5*s**2 - 2/5*s**4 + r + 0*s + 2/5*s**3 - 2/5*s**5 = 0?
-1, 0, 1
Let i = -5 - -7. Suppose -j = -i*q + 9, 5 = -4*q - j + 20. Solve 2/7*u**q + 0*u**3 + 2/7 - 4/7*u**2 + 0*u = 0 for u.
-1, 1
Let k(l) be the first derivative of -2*l**3/3 + 2*l**2 - 2*l - 46. Factor k(j).
-2*(j - 1)**2
Factor 0*z + z + 0*z + z**3 - 2*z**2.
z*(z - 1)**2
Let o = -28432/105 - -788/3. Let x = o - -42/5. Factor -2/7*n**3 - 2/7*n**2 + x*n**4 + 2/7*n + 0.
2*n*(n - 1)**2*(n + 1)/7
Let s(g) be the first derivative of g**3/3 - g**2/2 - 2*g - 16. Factor s(o).
(o - 2)*(o + 1)
Let y = 2/31 - -27/62. Let n(m) be the first derivative of 0*m + 2 + 2/3*m**3 + 0*m**2 + y*m**4. Factor n(j).
2*j**2*(j + 1)
Let j(w) be the third derivative of -w**8/1512 - w**7/315 - w**6/270 - 4*w**2. Suppose j(h) = 0. Calculate h.
-2, -1, 0
Let g be ((-110)/160)/((-1)/4). Factor -1/2 + g*m + 17/4*m**3 - 21/4*m**2 - 5/4*m**4.
-(m - 1)**3*(5*m - 2)/4
Let f be 2/(((-3)/10)/(-1)). Let b(n) = n**3 - 9*n**2 + 6*n + 19. Let l be b(8). Factor 10/3*r - f*r**2 - 2/3 + 2/3*r**5 + 20/3*r**l - 10/3*r**4.
2*(r - 1)**5/3
Let f(m) be the first derivative of -m**8/6720 + m**7/3360 + m**6/1440 - m**5/480 + m**3/3 - 2. Let n(q) be the third derivative of f(q). Factor n(r).
-r*(r - 1)**2*(r + 1)/4
Suppose 2*a = -2*q, 3*a - 24 = 4*q + a. Let j be (-3)/(-1) - (q - -5). Determine m so that 0*m**2 + 7*m**j - 3*m**2 - m**3 - 4*m = 0.
0, 2
Let p be (-16)/(-12)*(-36)/(-8). Let y be p/4*4/9. Factor -8/3*g + y*g**2 + 8/3.
2*(g - 2)**2/3
Suppose 4*m + 3*p - 18 = 0, -4*m + 4*p + 0 = -4. Suppose -m*l + 0*l = -12. What is a in l*a**3 + 9*a**2 - 2*a - 2*a**5 - 9*a**2 = 0?
-1, 0, 1
Let z be (2/(-3))/((-21)/9). Solve 0*f**2 + 0*f - 2/7*f**4 - z*f**3 + 0 = 0 for f.
-1, 0
What is u in -4*u**3 + 0*u**3 - 2*u**3 - 4*u**4 + 32*u - 2*u**3 + 16*u**2 = 0?
-2, 0, 2
Let i(r) be the first derivative of -r**8/840 + r**6/90 - r**4/12 + 2*r**3/3 + 7. Let g(c) be the third derivative of i(c). Factor g(w).
-2*(w - 1)**2*(w + 1)**2
Let m(r) = r**2 + r - 1. Let x(z) = -z**2 + 5*z + 9. Let k = -4 + 7. Let w(l) = k*m(l) + x(l). Determine i so that w(i) = 0.
-3, -1
Let g = -39 + 119/3. Let r = 27 + -77/3. Suppose r*m + 2/3 + g*m**2 = 0. What is m?
-1
Let r(z) = -3*z**2 - 2*z - 2. Let j(d) = 13*d**2 + 9*d + 9. Let c be -2 - 1*(-6 - -2). Let l(o) = c*j(o) + 9*r(o). Factor l(a).
-a**2
Let c = 307 - 307. Factor c + 2/5*a**3 + 8/5*a + 8/5*a**2.
2*a*(a + 2)**2/5
Let h(r) be the second derivative of -1/12*r**2 + 1/36*r**3 + 0 + 1/72*r**4 - 5*r - 1/120*r**5. Factor h(p).
-(p - 1)**2*(p + 1)/6
Let q(v) be the third derivative of -2/105*v**7 - 1/15*v