y**3 + 1/10*y**4 + 0*y**2 - 4. Let c(b) = 0. What is b?
0
Let p(i) = -i**2 - 2*i + 10. Let r be p(-4). Let q(w) = 7*w**2 - w. Let k(h) = 7*h**2. Let l(u) = r*q(u) - 3*k(u). Factor l(b).
-b*(7*b + 2)
Let k(g) be the first derivative of -g**6/180 + g**5/30 - g**4/12 - 5*g**3/3 + 6. Let m(b) be the third derivative of k(b). Factor m(j).
-2*(j - 1)**2
Suppose 1 = 2*o - 5. Let k = o - 0. Factor 2*h**2 + 5*h + 7*h**2 - 14*h + k - 3*h**3.
-3*(h - 1)**3
Suppose -2/19*r**3 + 16/19 + 8/19*r - 4/19*r**2 = 0. Calculate r.
-2, 2
Suppose 5*k + 2*h + 33 = -h, 2*h = 3*k + 16. Let q be k/4*(-4)/3. Factor 0*m + 0 + 1/2*m**3 + m**q.
m**2*(m + 2)/2
Let -12413*k + 12408*k + 0*k**3 - 6*k**2 - k**3 = 0. What is k?
-5, -1, 0
Let z(x) be the third derivative of x**5/80 - x**4/32 - 16*x**2. Factor z(m).
3*m*(m - 1)/4
Let s = 151/4 + -2263/60. Let t(n) be the third derivative of -1/3*n**3 + 0 + 0*n - 4*n**2 + 1/60*n**6 - 1/12*n**4 + s*n**5. Determine o so that t(o) = 0.
-1, 1
Let n be 18/(-45) + (-14)/(-260). Let f = 2/13 - n. Suppose 0*t**3 + 1/4 + 0*t - f*t**2 + 1/4*t**4 = 0. What is t?
-1, 1
Suppose 8/3*m + 1/9*m**2 + 16 = 0. Calculate m.
-12
Let c(s) be the second derivative of s**5/5 + 8*s**4 + 128*s**3 + 1024*s**2 - 15*s. Determine a, given that c(a) = 0.
-8
Let k(t) be the third derivative of t**8/20160 + t**7/7560 - t**6/2160 - t**5/360 - t**4/8 - 3*t**2. Let x(a) be the second derivative of k(a). Factor x(p).
(p - 1)*(p + 1)**2/3
Factor -8*l - 32*l**3 + 110*l**2 + 48*l + 57*l**3.
5*l*(l + 4)*(5*l + 2)
Let m(k) be the third derivative of k**7/735 - k**5/210 - 8*k**2. Determine s so that m(s) = 0.
-1, 0, 1
Let c(h) be the third derivative of -h**7/735 + 2*h**6/315 - h**5/630 - 2*h**4/63 + 4*h**3/63 - 9*h**2 - h. Solve c(s) = 0.
-1, 2/3, 1, 2
Let s = -3 + 5. Suppose 4 = 2*x - s*d, -2*x + d + 2*d + 1 = 0. Let -2 - x*f - 9*f**2 + 0*f**3 + 2*f**3 + 11*f**2 + 3*f = 0. What is f?
-1, 1
Let a(c) be the second derivative of c**5/20 + 2*c**4/3 + 7*c**3/2 + 9*c**2 - 10*c. Determine g so that a(g) = 0.
-3, -2
Factor 0*w**2 - 8*w + 2*w - 3*w**2 + 0*w**2.
-3*w*(w + 2)
Let m be -4 - 724/(-20)*-2. Let i = 77 + m. Solve 3/5*z - 3/5*z**2 - i*z**3 + 3/5 = 0.
-1, 1
Let p(x) = 3*x**3 - 5*x - 2. Let a be (-1)/4*(-1 + -7). Let l(y) = -12*y**3 + 21*y + 9. Let j(w) = a*l(w) + 9*p(w). Let j(q) = 0. Calculate q.
-1, 0, 1
Let p(f) = -1. Let s(g) = g**2 - 3*g - 4. Let d(a) = 4*p(a) - s(a). Solve d(x) = 0 for x.
0, 3
Let p(s) be the first derivative of -s**6/27 + s**4/18 - 57. Determine d, given that p(d) = 0.
-1, 0, 1
Let z(c) be the second derivative of c**4/6 + 5*c**3/3 + 4*c**2 - 35*c. Solve z(w) = 0 for w.
-4, -1
Let m be (((-105)/(-55))/(-7))/(6/(-4)). Find y, given that -m*y + 2/11*y**2 - 4/11 = 0.
-1, 2
Suppose -3*c + 19 = 5*y, 2*y - 7 = -c - 0*c. Let t = -4 - -6. Factor j**2 + 0 + t*j - 3*j**y + 4.
-2*(j - 2)*(j + 1)
Let x be 10*(-7 - 477/(-63)). Find q such that 4/7*q**2 + x*q**5 + 0 - 34/7*q**4 - 10/7*q**3 + 0*q = 0.
-2/5, 0, 1/4, 1
Solve 2/11*w**3 - 2/11*w**5 + 2/11*w**2 + 0*w - 2/11*w**4 + 0 = 0 for w.
-1, 0, 1
Let k be 2/7*13/((-156)/(-21)). Factor -1/6*q**2 + k + 1/3*q.
-(q - 3)*(q + 1)/6
Suppose -4*a - s + 12 = 0, -2*s - 4 = -s. Let n be (a/3 + -2)*-3. Let -3*u**5 + 4/3*u**3 - 4/3*u**n + 0 + 3*u**4 + 0*u = 0. Calculate u.
-2/3, 0, 2/3, 1
Let a = -86 - -89. What is m in 0 - 12/7*m**2 - 2/7*m + 48/7*m**4 - 32/7*m**5 - 2/7*m**a = 0?
-1/4, 0, 1
Let q(t) be the third derivative of t**7/630 + t**6/90 + t**5/90 - t**4/18 - t**3/6 - 2*t**2. Suppose q(g) = 0. Calculate g.
-3, -1, 1
Suppose 0*j - 22 = -5*t + 4*j, -3*j = 5*t - 1. Find x, given that 4 + 10*x + 2*x**3 - 3*x**t + 2*x**2 + 9*x**2 = 0.
-2, -1
What is z in 1/2*z**2 + 0*z + 0 = 0?
0
Let i(n) = 5*n**5 - 3*n**4 - 2*n**3 - 7*n. Let x be (-9)/6 - 17/(-2). Let c(w) = 3*w**5 - 2*w**4 - w**3 - 4*w. Let h(j) = x*c(j) - 4*i(j). Factor h(y).
y**3*(y - 1)**2
Factor -x**3 + 0*x**3 + 4*x**3 + x**4 - x**2 + x**5 - 4*x**3.
x**2*(x - 1)*(x + 1)**2
Suppose y = 3*m + 12, -2*y + 17 + 1 = -4*m. Suppose 5*z - 8 = -t, 4*z - 3*t = y*z + 8. Factor -l - l**3 + 2*l + 0 + 1 - l**z.
-(l - 1)*(l + 1)**2
Determine l, given that 0*l**3 + 4*l**2 - l**4 - l**5 - 9*l**2 + l**3 + 6*l**2 = 0.
-1, 0, 1
Let t(z) be the first derivative of -7*z**6/12 - z**5/5 + 21*z**4/8 + 10*z**3/3 + z**2 - 15. Suppose t(b) = 0. What is b?
-1, -2/7, 0, 2
Let k(l) be the second derivative of l**4/54 - 4*l**3/27 + l**2/3 - 3*l. Solve k(v) = 0.
1, 3
Let d(l) be the third derivative of 5/72*l**5 + 1/36*l**3 + 0*l - 5/72*l**4 + 0 - 3*l**2. Factor d(q).
(5*q - 1)**2/6
Let z be (1*-2)/(2/(-20)). Suppose -2*l - 2*l = -z. Determine x so that -14*x**l + 9*x**3 + 9*x**3 - 3*x**2 - 4*x + 10*x**4 - 7*x**2 = 0.
-1, -2/7, 0, 1
Let c be (-4 - -1) + (11 - 9). Let u be (4/(-6))/(c - 0). Factor -8/3 + 8/3*w - u*w**2.
-2*(w - 2)**2/3
Determine d so that 1/2*d**2 + d - 3/2 = 0.
-3, 1
Suppose -7*s + 51 + 2*s**2 - 19 + 23*s = 0. What is s?
-4
Let h(y) be the third derivative of -y**9/11340 - y**8/2880 - y**7/3780 + y**6/2160 + y**4/8 - y**2. Let f(c) be the second derivative of h(c). Factor f(r).
-r*(r + 1)**2*(4*r - 1)/3
Let s(t) = 4*t. Let x be s(0). Factor 2/7*m**2 + 2/7*m**4 + 0*m - 4/7*m**3 + x.
2*m**2*(m - 1)**2/7
Let r(t) be the third derivative of 0*t + 1/6*t**4 + 4*t**2 + 0*t**3 - 1/30*t**6 + 0 + 0*t**5. Factor r(p).
-4*p*(p - 1)*(p + 1)
Let t be -4 + 7/((-21)/204). Let s be 2/(-5) - t/30. Factor -12/5*n - 12/5*n**3 - 18/5*n**s - 3/5 - 3/5*n**4.
-3*(n + 1)**4/5
Let v(p) be the first derivative of 5 + 3*p - 1/2*p**3 - 3/4*p**2. Factor v(g).
-3*(g - 1)*(g + 2)/2
Let v(z) = -z - 6. Suppose 4*j + 4*x + 1 = -11, -2*j - x = 9. Let n be v(j). Factor n - 2/5*o + 2/5*o**4 + 6/5*o**2 - 6/5*o**3.
2*o*(o - 1)**3/5
Let h(i) be the third derivative of 1/30*i**4 - 2/15*i**3 + 0 + 1/300*i**6 + 4*i**2 + 0*i + 7/300*i**5. Determine t so that h(t) = 0.
-2, 1/2
Let h(a) be the third derivative of 1/40*a**6 + 0 + 0*a**5 - a**3 + 0*a - 2*a**2 - 3/8*a**4. Let h(j) = 0. What is j?
-1, 2
Let s(t) be the first derivative of t**4/24 - t**3/12 - 3*t - 2. Let m(l) be the first derivative of s(l). Determine f so that m(f) = 0.
0, 1
Let l(v) be the second derivative of -7/120*v**5 + 0 + 3/16*v**4 - 1/6*v**3 - 3/2*v**2 - v. Let w(j) be the first derivative of l(j). Factor w(o).
-(o - 1)*(7*o - 2)/2
Let b(v) be the second derivative of 0 - 1/240*v**5 + 2*v + 3/2*v**2 + 0*v**4 + 1/24*v**3. Let m(y) be the first derivative of b(y). Factor m(f).
-(f - 1)*(f + 1)/4
Suppose -r = 4*r - 15. Factor 16*h - 8 - 1/2*h**4 + 4*h**r - 12*h**2.
-(h - 2)**4/2
Let o(s) be the first derivative of 2*s**5/5 + 4*s**4 + 44*s**3/3 + 24*s**2 + 18*s - 12. Factor o(y).
2*(y + 1)**2*(y + 3)**2
Find w, given that -1/3*w**2 + 1/3 + 0*w = 0.
-1, 1
Factor -21/2*f**4 + 24*f + 3/2*f**5 - 75/2*f**2 + 57/2*f**3 - 6.
3*(f - 2)**2*(f - 1)**3/2
Let p be (-2)/5 + (-96)/(-15). Let m(j) = j**2 - 3*j - 8. Let x be m(p). Solve -2*g**2 - 4*g**2 + 0*g**2 - 4*g + x*g**3 = 0.
-2/5, 0, 1
Let y(j) be the second derivative of j**8/840 - 2*j**7/525 + j**6/300 + j**2 - 4*j. Let n(w) be the first derivative of y(w). Factor n(s).
2*s**3*(s - 1)**2/5
Let z(t) be the second derivative of -2*t**6/3 + 3*t**5/10 + 13*t**4/6 - t. Let b(l) = 7*l**4 - 2*l**3 - 9*l**2. Let g(d) = -14*b(d) - 5*z(d). Factor g(o).
2*o**2*(o - 2)*(o + 1)
Let s(t) be the first derivative of 4/3*t**3 + 18*t**2 - 12*t**4 + 8*t - 2. Factor s(m).
-4*(m - 1)*(3*m + 2)*(4*m + 1)
Suppose -o = 3*o - 216. Factor 28*n**5 + 20*n**3 + 14*n - 18*n**2 - 56*n**3 - 2*n**2 + 26*n**5 - 2 + o*n**4.
2*(n + 1)**2*(3*n - 1)**3
Let r(q) = 120*q**4 + 48*q**3 - 6*q**2 + 22*q. Let l(w) = 17*w**4 + 7*w**3 - w**2 + 3*w. Let f(o) = 44*l(o) - 6*r(o). Solve f(h) = 0.
-1, 0, 2/7
Let d = 1/35 - -61/315. What is l in -2/9*l**4 - 4/3*l**2 - 8/9*l**3 - 8/9*l - d = 0?
-1
Solve 2/11*t**3 + 0 - 8/11*t**2 + 0*t = 0 for t.
0, 4
Suppose -5*g + 16 = -14. Let i(b) = 9*b**3 - 5*b**2 + 9*b - 13. Let f(w) = -w**3 + 0*w**3 + 4*w - 2*w**2 - 6 + 5*w**3. Let t(h) = g*i(h) - 13*f(h). Factor t(s).
2*s*(s - 1)**2
Factor 135*w**2 + 39*w**3 + 32*w - 3*w**2 - 23*w**3.
4*w*(w + 8)*(4*w + 1)
Let w(t) be the second derivative of -t**7/147 - t**6/105 + t**5/70 + t**4/42 - 8*t. Factor w(o).
-2*o**2*(o - 1)*(o + 1)**2/7
Let a(f) = -f**3 + 10*f**2 - 18*f + 9. Let i(n)