. Let -2/7*k - 2/7*k**3 - 4/7*k**2 + x = 0. Calculate k.
-1, 0
Let r(l) be the second derivative of l**7/56 - 3*l**5/40 + l**3/8 - 11*l. Factor r(h).
3*h*(h - 1)**2*(h + 1)**2/4
Let b(m) be the second derivative of m**7/21 - 2*m**6/15 + m**4/3 - m**3/3 + 3*m. What is i in b(i) = 0?
-1, 0, 1
Let x = 1 - 0. Let l(a) = 106 + 102 - a - 208. Let k(p) = 3*p**2. Let f(h) = x*k(h) + 3*l(h). Suppose f(w) = 0. Calculate w.
0, 1
Let t(d) be the third derivative of 2/15*d**5 - 5/84*d**8 + 8/35*d**7 + 0 + 0*d**3 + 0*d**4 + 2*d**2 + 0*d - 3/10*d**6. Solve t(x) = 0 for x.
0, 2/5, 1
Let l(v) be the second derivative of 0 - 1/42*v**4 - v + 0*v**2 + 1/21*v**3. Factor l(h).
-2*h*(h - 1)/7
Let u = -3 - -6. Factor -u*w**2 - 2 + 5 + 6*w**2 - 6*w.
3*(w - 1)**2
Let v(j) be the third derivative of -j**6/60 + j**5/30 + j**4/12 - j**3/3 + 2*j**2. Suppose v(d) = 0. What is d?
-1, 1
Let w be (-10)/(-4)*(-16)/(-20). Solve -4*y**2 + 11 - w*y**2 - 6*y - 2*y**3 - 4*y**2 + 7 = 0.
-3, 1
Solve -12 + 7*t**2 - 16*t + 19*t**3 + 4*t**4 + 3*t**2 - 2*t**2 - 3*t**3 = 0.
-3, -1, 1
Suppose 1/3*o**4 + o**2 - 4/3*o + 4/3*o**3 - 4/3 = 0. Calculate o.
-2, -1, 1
Let l be -2 + 3*(-5)/(-3). Suppose -2*g - 5*f = -14, -3*g - l*f + 5*f + 2 = 0. Suppose 0 + 2*m**g + 4/7*m**3 - 4/7*m - 2*m**4 = 0. What is m?
-1, 0, 2/7, 1
Suppose -3*n + 3 + 3 = 0. Factor 9*x**5 + n*x**2 - 1 + 0 - 2*x**3 - 8*x**5 + x - x**4.
(x - 1)**3*(x + 1)**2
Let f = 9 + -4. Suppose f*w + 1 - 11 = 0. Factor 2/5*z + 6/5*z**3 + 0 - 6/5*z**w - 2/5*z**4.
-2*z*(z - 1)**3/5
Let o be (-24)/(-42) - 31/(-7). Factor 1/3*q**3 + 0 + 0*q - 1/3*q**o - 1/3*q**2 + 1/3*q**4.
-q**2*(q - 1)**2*(q + 1)/3
Let d(n) = -n**2 - 9*n - 17. Let l be d(-4). What is c in -15/2*c**l + 0*c + 3*c**2 - 3/2*c**5 + 0 + 6*c**4 = 0?
0, 1, 2
Let v(t) be the first derivative of 1/3*t**3 + 1/4*t**4 - 1/2*t**2 - t + 2. Find w, given that v(w) = 0.
-1, 1
Let d(h) be the second derivative of h**7/840 + h**6/180 + h**5/120 + h**3/6 + 6*h. Let b(p) be the second derivative of d(p). What is g in b(g) = 0?
-1, 0
Let t(w) be the first derivative of -1/11*w**4 - 4 - 2/55*w**5 - 2/33*w**3 + 0*w**2 + 0*w. Determine m so that t(m) = 0.
-1, 0
Let v = 166/423 - 8/47. Suppose 0*w = -2*w. Factor 2/9*z**3 + w*z**2 + 0 + 0*z + v*z**5 - 4/9*z**4.
2*z**3*(z - 1)**2/9
Let t(v) be the third derivative of -v**5/480 - v**4/16 - 11*v**3/48 - 3*v**2. Find p, given that t(p) = 0.
-11, -1
Suppose -10*c - 6 = -13*c. Let p(t) be the first derivative of 0*t - 1/20*t**5 + 1/8*t**4 - 2 - 1/12*t**3 + 0*t**c. Suppose p(j) = 0. What is j?
0, 1
Suppose -o - 29 + 54 - 4*o**2 + 0*o**2 - 21 + o**3 = 0. What is o?
-1, 1, 4
Let j(s) be the second derivative of s**7/105 + s**6/25 + 3*s**5/50 + s**4/30 + 5*s. Let j(o) = 0. Calculate o.
-1, 0
Let h = 215 - 213. Suppose 12/7*i**h + 2/7*i**3 + 24/7*i + 16/7 = 0. Calculate i.
-2
Let q(n) = -n**3 + 6*n**2 - 2. Let a(h) be the first derivative of 3*h**4/4 - 17*h**3/3 + h**2/2 + 5*h - 2. Let t(m) = 3*a(m) + 8*q(m). Factor t(u).
(u - 1)**3
Find j, given that 24/7*j**2 + 0 - 12/7*j - 15/7*j**3 + 3/7*j**4 = 0.
0, 1, 2
Suppose -16*b = -21*b + 15. Find d such that -5/3*d**3 + 1/3*d**4 - 7/3*d + 2/3 + b*d**2 = 0.
1, 2
Let z(u) = 3*u**2 + 37*u + 50. Let a(n) = -50*n**2 - 630*n - 850. Let k(l) = -2*a(l) - 35*z(l). Determine b, given that k(b) = 0.
-5, -2
Suppose 2*l**3 - 3*l**3 - 12*l**4 + 11*l**4 = 0. What is l?
-1, 0
Let l(w) = 7*w**2 - 24*w + 48. Let o(r) = 48*r**2 - 168*r + 336. Let n(q) = 27*l(q) - 4*o(q). Determine a, given that n(a) = 0.
4
Let j(p) be the second derivative of -p**5/4 - 5*p**4/6 - 5*p**3/6 - 5*p. Let j(t) = 0. What is t?
-1, 0
Suppose 4*d + 2 = -2*a, 4*d - 2 = 6*d. Let l be a - 0 - (-1 - 0). Factor 6*h**3 + 3*h - 5*h**3 + 0*h**3 + 1 + 3*h**l.
(h + 1)**3
Solve 2*g**2 - 3*g**3 - 24 - 10*g**2 - 36*g - 10*g**2 + 0*g**3 = 0.
-2
Let g(t) be the first derivative of 2/7*t - 2/21*t**3 + 1/7*t**2 - 1/14*t**4 - 1. Find a such that g(a) = 0.
-1, 1
Factor 8*w - 45*w**2 - 20*w**4 + 49*w**2 - 8*w + 16*w**3.
-4*w**2*(w - 1)*(5*w + 1)
Factor 4/3*f + 2/3*f**2 + 2/3.
2*(f + 1)**2/3
Let f be 40/192 + 2/(-16). Let h(x) be the third derivative of -1/15*x**3 - x**2 + f*x**4 + 0*x - 1/50*x**5 + 4/525*x**7 - 1/60*x**6 + 0. What is u in h(u) = 0?
-1, 1/4, 1
Suppose 1 + 4 = 5*w. Let j be w/((24/(-20))/(-6)). Solve -3/5*f**3 + 2/5*f + 1/5*f**j + 1/5*f**4 + 0 - 1/5*f**2 = 0.
-2, -1, 0, 1
Suppose 6*a - 3*a + 5*k = 7, 5*k + 5 = 0. Suppose 3 = 2*p + d, 2 = 3*p + a*d + 5. Factor -2*s**2 - s + 6*s**p - 3*s**3 - s + s**2.
s*(s - 1)*(3*s + 2)
Suppose -6 = -6*b + 4*b. Let u be 1 + b*3/(-27). Determine h so that -1/3*h**2 + h - u = 0.
1, 2
Let i(m) be the second derivative of -m**6/270 + m**5/90 + m**4/36 - 4*m**3/27 + 2*m**2/9 + 33*m. What is n in i(n) = 0?
-2, 1, 2
Let n = 16 - 13. Factor -2*k**3 + 2*k**2 + k**5 - 4*k**4 + 2*k + 0*k**3 + n*k**4 - 1 - k.
(k - 1)**3*(k + 1)**2
Let g(q) = -8*q**5 - q**4 - 44*q**3 + 55*q**2 - 53*q + 17. Let a(j) = -3*j**5 - 15*j**3 + 18*j**2 - 18*j + 6. Let i(c) = -17*a(c) + 6*g(c). Factor i(w).
3*w*(w - 2)*(w - 1)**2*(w + 2)
Let a(p) be the second derivative of -7*p + 1/18*p**4 - 4/9*p**3 + 0 + 4/3*p**2. Factor a(c).
2*(c - 2)**2/3
Suppose 0 = 2*w - 4*w + 4. Let u be -2*(-1)/2*2. Factor -4*a**2 + a**2 + w*a**u.
-a**2
Let z(r) be the third derivative of r**8/1008 + r**7/210 + r**6/120 + r**5/180 - 3*r**2. Determine s so that z(s) = 0.
-1, 0
Suppose -4*n**2 + 2 - 4 + 3*n + 10 + n = 0. What is n?
-1, 2
Factor -20/3*x**2 - 16/9 - 8*x - 14/9*x**3.
-2*(x + 2)**2*(7*x + 2)/9
Let m(p) be the second derivative of 1/147*p**7 + 0*p**2 + 0 + 1/42*p**4 + 3/70*p**5 - 4*p + 0*p**3 + 1/35*p**6. Factor m(y).
2*y**2*(y + 1)**3/7
Let w = 5 - 2. Let z(h) = 3*h**2 - h + 4. Let k(o) = -3*o**2 - 3. Let l(j) = w*z(j) + 4*k(j). Let l(r) = 0. What is r?
-1, 0
Let g(t) = t**2 - 5*t + 2. Let u = 17 + -12. Let a be g(u). Factor 10*f**3 + 4*f**2 + 7*f**4 + 0*f**2 + a*f**5 + f**4.
2*f**2*(f + 1)**2*(f + 2)
Let z be (-15)/(-10)*(0 - -2). Determine k so that -6*k**2 + 0*k**z - 4*k**3 + 4*k**3 - 3*k - 3*k**3 = 0.
-1, 0
Let f(r) = r**5 - r**3 - r**2 + r - 1. Let t(s) = -24*s**5 - 210*s**4 - 531*s**3 - 181*s**2 + 676*s + 269. Let j(q) = f(q) - t(q). Factor j(z).
5*(z - 1)*(z + 3)**3*(5*z + 2)
Let t(d) be the second derivative of -d**7/119 - 2*d**6/255 + 3*d**5/170 + d**4/51 + 25*d. Find k such that t(k) = 0.
-1, -2/3, 0, 1
Let w = -16 + 53. Suppose 0 + 0 - 41*n**2 + w*n**2 + 2*n**3 = 0. What is n?
0, 2
Factor 0 - 1/12*l**2 + 0*l - 1/12*l**3.
-l**2*(l + 1)/12
Let p(z) be the second derivative of -z**7/5040 - z**6/720 + z**5/80 - z**4/3 + 3*z. Let u(y) be the third derivative of p(y). Factor u(i).
-(i - 1)*(i + 3)/2
Suppose 3*f - 2*f = 0. Determine o, given that -6/5*o**4 - 6/5*o**3 - 2/5*o**2 + 0*o + f - 2/5*o**5 = 0.
-1, 0
Let d(a) = a - 5. Let w be d(8). Suppose -w*j = 3*y + 6, -3*j = 4*y + 8 - 0. Solve 1/2 - 3/2*n**2 - n**3 + j*n = 0 for n.
-1, 1/2
Let d(l) be the third derivative of l**2 + 0 + 0*l + 1/3*l**4 + 1/3*l**3 + 1/10*l**5 - 1/15*l**6 - 4/105*l**7. Suppose d(x) = 0. What is x?
-1, -1/2, 1
Let u(c) be the third derivative of 2*c**2 + 1/60*c**5 + 0 + 0*c + 0*c**3 + 0*c**4 + 1/120*c**6. Factor u(b).
b**2*(b + 1)
Factor -9 - 6*z**2 - 13 + 3*z**2 + 4 - 15*z.
-3*(z + 2)*(z + 3)
Let z(h) be the second derivative of -1/18*h**4 + 2/3*h**2 + 4*h + 1/9*h**3 + 0. Factor z(c).
-2*(c - 2)*(c + 1)/3
Let y = 2 + -4. Let l(m) = -m + 1. Let h be l(y). Factor -1/4*d**4 + 1/2*d**h + 0 + 0*d - 1/4*d**2.
-d**2*(d - 1)**2/4
Let z(c) be the first derivative of -5/3*c**3 + 11/12*c**4 + 3/2*c**2 - 2/3*c - 1/5*c**5 - 3. Factor z(u).
-(u - 1)**3*(3*u - 2)/3
Let y(z) = z**2 - z. Let j(t) = t**2 - t. Let s(m) = 2*j(m) - 3*y(m). Determine x, given that s(x) = 0.
0, 1
Let u be 1/1 + 7 + -3. Let h(c) be the second derivative of 27/35*c**6 + 9/7*c**u - 2*c + 9/49*c**7 + 1/7*c**2 + 23/21*c**4 + 11/21*c**3 + 0. Solve h(j) = 0.
-1, -1/3
Let z(a) be the first derivative of -a**6/60 - a**5/50 + a**4/8 - a**3/10 - 12. Factor z(p).
-p**2*(p - 1)**2*(p + 3)/10
Let g = -15347/45 + 341. Let a = 4/15 + g. Suppose 2/9*k + a - 2/9*k**2 - 2/9*k**3 = 0. Calculate k.
-1, 1
Let b(y) = -4*y**2 - 4*y. Let d(r) = r**2 - 1. Suppose -s = -4*m + 2, s - 5 = -4*m + 1. Let c(k) = m*b(k) + 2*d(k). Factor c(u).
-2*(u + 1)**2
Suppose -4*y = 