 - 12*v(w). Suppose h(n) = 0. Calculate n.
0, 1
Let m(y) = -10*y**2 + 10. Let f(i) = 19*i**2 - 19. Let c(n) = -6*f(n) - 11*m(n). Determine v, given that c(v) = 0.
-1, 1
Let n(z) be the third derivative of 1/840*z**7 - 8*z**2 - 1/96*z**4 + 0 + 1/240*z**6 + 1/24*z**3 - 1/120*z**5 + 0*z - 1/1344*z**8. Find b, given that n(b) = 0.
-1, 1
Let n be -9 + 6 + 171/58. Let c = n - -35/116. Find q such that -c - q**2 + 5/4*q = 0.
1/4, 1
Find q, given that -q**2 - 1/2*q**4 - 5/4*q**3 - 1/4*q + 0 = 0.
-1, -1/2, 0
Let p(z) be the third derivative of -5*z**8/336 + z**7/14 - z**6/12 + 41*z**2. Factor p(x).
-5*x**3*(x - 2)*(x - 1)
Let u(k) = -k**3 - 9*k**2 - 7*k + 11. Let s be u(-8). Solve 3 - q**3 + q**4 + 3*q**s - q - 2 - q**5 - 2*q**2 = 0.
-1, 1
Suppose -2*n + 2*h = 0, 4*h - 30 = -5*n + 3*h. Let w = n + -1. Factor 13*u**2 + 0*u + 2*u**w - 8*u**3 - 4*u - 3*u**2 + 0*u**3.
2*u*(u - 2)*(u - 1)**2
Let d(l) be the second derivative of 16*l**5/5 - 8*l**4/3 + 2*l**3/3 - 22*l. What is m in d(m) = 0?
0, 1/4
Let m = -151 + 151. Factor 1/6*c + m + 1/6*c**2.
c*(c + 1)/6
Let b(l) be the first derivative of 0*l + 1/25*l**5 + 1/20*l**4 + 6 - 1/15*l**3 - 1/10*l**2. Factor b(n).
n*(n - 1)*(n + 1)**2/5
Let z = -53/21 - -8/3. Let d(u) be the second derivative of 1/70*u**5 + 3*u + z*u**2 - 1/42*u**4 + 0 - 1/21*u**3. Suppose d(j) = 0. Calculate j.
-1, 1
Let r(w) be the second derivative of 0*w**2 + 1/21*w**7 - 7/45*w**6 + 0 - 1/18*w**4 + 1/6*w**5 + 0*w**3 + w. Factor r(k).
2*k**2*(k - 1)**2*(3*k - 1)/3
Let r be 7 + (1 - 3 - (0 - -1)). Let w(x) be the second derivative of 3*x + 1/12*x**r + 0 - 1/40*x**5 + 0*x**2 - 1/6*x**6 + 0*x**3. Factor w(i).
-i**2*(2*i + 1)*(5*i - 2)/2
Let i(o) be the second derivative of o**5/45 - 5*o**4/27 + 2*o**3/9 + 2*o**2 + 13*o. Let i(w) = 0. What is w?
-1, 3
Let b be -14*(-1 + (-2)/(-4)). Find c such that -12*c**2 + 3*c**3 + 5*c + 0*c**2 + b*c = 0.
0, 2
Let n = 14 - 10. Solve 171*i**3 + 102*i**2 + 9 + 0*i - 9*i**2 + 81*i**n - 15 - 3*i = 0.
-1, -1/3, 2/9
Let q = -12/25 - -49/50. Find b such that 0*b + q*b**2 - 1/2 = 0.
-1, 1
Let x(g) be the third derivative of g**7/4620 - g**3/3 + 4*g**2. Let z(u) be the first derivative of x(u). Let z(a) = 0. What is a?
0
Let t(m) be the third derivative of m**4/24 - 2*m**3/3 + 14*m**2. Let p be t(7). Determine h, given that 10/7*h**4 - 2*h + 2*h**p - 4/7 - 6/7*h**2 = 0.
-1, -2/5, 1
Let t(w) = -8*w**4 + 8*w**3 - 11*w**2 - 9*w - 9. Let f(u) = -u**4 + u**3 - u**2 - u - 1. Let a(k) = -18*f(k) + 2*t(k). Factor a(y).
2*y**2*(y - 2)*(y + 1)
Factor -x**2 + 0*x + x**4 + 0 + 8/3*x**3.
x**2*(x + 3)*(3*x - 1)/3
Let q be 26/(-8) + 0 + -2 + 6. Factor q*f**2 + 1/2*f - 5/4*f**3 + 0.
-f*(f - 1)*(5*f + 2)/4
Suppose 10 = -3*n + 1. Let f be (13/(-26))/(n/2). What is b in f*b**3 + b**2 + b + 1/3 = 0?
-1
Let l be ((-3)/(-18))/(10/80). Let 2*z**2 + l + 14/3*z = 0. What is z?
-2, -1/3
Let p be 1/(1 - (-4)/(-6)). Suppose -4*h + 2*h = 0. Let -2*a**p + h*a + 0*a**3 + 2*a = 0. Calculate a.
-1, 0, 1
Let d(s) = -2 + 14*s**2 - 3*s + s**2 - 1. Let h(k) = 7*k**2 - k - 2. Let b(a) = -4*d(a) + 9*h(a). Determine x, given that b(x) = 0.
-2, 1
Let l be (6/(-9))/((-1)/6). Let b(x) = -3*x - 3. Let c be b(-1). Let 0*f + c + f**2 - 9/2*f**3 - 5/2*f**5 + 6*f**l = 0. What is f?
0, 2/5, 1
Let a = 360 - 360. Factor 0*d**2 + a*d - 1/4*d**3 + 1/8*d**4 + 0.
d**3*(d - 2)/8
Let g = -9 + 11. Suppose g*x - 4*q - 20 = 0, 0 = x - 0*x + q + 5. Determine n, given that -n**2 - 1/2*n**3 + x - 1/2*n = 0.
-1, 0
Let h(z) = -7*z**4 + 11*z**3 - 5*z**2 - 3*z + 5. Let g(c) = -3*c**4 + 5*c**3 - 2*c**2 - 2*c + 2. Let a(f) = -10*g(f) + 4*h(f). Let a(j) = 0. What is j?
-1, 0, 2
Let j(x) = 5*x**2 + 4*x**2 - 8*x**2 - 7. Let l be j(3). Factor w - 1/2 - 1/2*w**l.
-(w - 1)**2/2
Suppose 5*q - 10 = 25. Let w(o) be the third derivative of 0*o**5 + 0 + 0*o**4 + 0*o + 1/210*o**6 - 3*o**2 + 1/294*o**8 + 0*o**3 + 3/245*o**q. Factor w(y).
2*y**3*(y + 2)*(4*y + 1)/7
Let v(b) = 32*b + 64. Let n be v(-2). Find x, given that n*x + 2/9*x**3 + 0 + 0*x**2 = 0.
0
Let a(f) = 10*f**4 + 9*f**3 - 3*f**2 - 2*f. Let x(v) = -v**4 - v**3. Let p(l) = l**2 + 4*l. Let o be p(-2). Let k(r) = o*a(r) - 36*x(r). Solve k(h) = 0 for h.
-1, 0, 2
Find x such that 0*x**2 + 4/9*x + 2/9*x**4 - 4/9*x**3 - 2/9 = 0.
-1, 1
Suppose 2*b + 4 = 2*z - 10, 4*b + 7 = -3*z. Let 0*g**4 + 1/4*g - 1/2*g**z + 0*g**2 + 0 + 1/4*g**5 = 0. Calculate g.
-1, 0, 1
Let w(s) be the third derivative of -s**6/120 - 7*s**3/6 + 6*s**2. Let g(z) be the first derivative of w(z). Factor g(v).
-3*v**2
Let z(q) be the third derivative of 0*q**5 + 0*q**3 + 0 + 0*q - 6*q**2 - 1/660*q**6 + 0*q**4. Factor z(b).
-2*b**3/11
Factor -1 - 14*b**2 - 15*b**3 + 3*b + 39*b**3 + 5*b**5 + 1 - 18*b**4.
b*(b - 1)**3*(5*b - 3)
Let w be (-1 + 4)*-1 - 186. Let f be (-12)/w + (-2)/(-9). Factor f*s**2 + 2/7 - 4/7*s.
2*(s - 1)**2/7
Let c(p) = p**2. Let o be 14/(-4) - 1/2. Let n be c(o). Factor 14*h**2 + 0 + n*h**3 + 4*h + 0 + 6*h**4.
2*h*(h + 1)**2*(3*h + 2)
Suppose 4 - 7 = z. Let u be (3/(-1))/(z/2). Factor -j - 3*j**3 + 2*j**u + j + j.
-j*(j - 1)*(3*j + 1)
Suppose 0 = -4*l, -3*q + q = l - 152. Factor 76*k + k**2 - q*k.
k**2
Let j = 1 + -2. Let b = j + 3. Factor -9*m + 2*m**4 - 8*m + 9*m - 6*m**b + 4*m**3 + 8.
2*(m - 1)**2*(m + 2)**2
Let t**3 + 4*t - 3*t**2 + 4 - 4 - t**2 = 0. Calculate t.
0, 2
Suppose -20*v**2 + 36 + 5*v**3 - 12*v + 3*v**3 - 12*v**3 = 0. Calculate v.
-3, 1
Suppose 16 = -5*q + 3*q - 3*c, -c = 4. Let t be -1 - 0 - q - 1. Factor -h**2 - 1/2*h + t - 1/2*h**3.
-h*(h + 1)**2/2
Suppose 5*g = -2*q - 6, -2*g + 10 = 3*q - 4*g. Suppose -3*n + 3*v = q*v - 4, n + 5*v = 28. Factor -4*h**3 - n*h**2 + 5*h**2 + 0*h**4 + 2*h**4 + 0*h**4.
2*h**2*(h - 1)**2
Let k be ((-216)/(-5))/2*21/14. Let -k - 108/5*h**2 - 2/5*h**4 + 24/5*h**3 + 216/5*h = 0. Calculate h.
3
Solve 2/21*b**2 + 2/7 + 8/21*b = 0.
-3, -1
What is s in s**2 - 30*s + 40*s - 6*s**2 = 0?
0, 2
What is o in -o**3 - 25*o + 51*o - 26*o = 0?
0
Let u(v) be the second derivative of 0 + 1/36*v**4 + 1/252*v**7 - 1/90*v**6 + 0*v**5 + 4*v + 0*v**2 - 1/36*v**3. Factor u(c).
c*(c - 1)**3*(c + 1)/6
Let q(z) = 3*z + z**2 + 2*z**2 - 4*z**2 + 12. Let t be q(5). Determine i, given that -4/3*i**t + 2/3*i**5 + 0 + 4/3*i**4 + 0*i**3 - 2/3*i = 0.
-1, 0, 1
Let h = 2 - -1. Factor -2*b**4 - b**3 - 6*b**5 - 4*b**h + 3*b**3 + 6*b**3.
-2*b**3*(b + 1)*(3*b - 2)
Suppose 3/4*k + 0 + 3/2*k**4 - 3/4*k**3 - 3/2*k**2 = 0. What is k?
-1, 0, 1/2, 1
Let c(t) = 3*t**5 + 8*t**4 + 13*t**3 - 29*t**2 - 21*t + 16. Let h(k) = -k**4 + k**3 - k**2 - k. Let l(b) = c(b) - 5*h(b). What is i in l(i) = 0?
-2, 2/3, 1
Let g(z) = z + 3. Let v be g(-7). Let j be (-26)/(-8) + 1/v. Solve -240*p**4 + 8 - 26*p**4 + 131*p**2 + 127*p**2 + 80*p + 214*p**j - 294*p**5 = 0.
-1, -1/3, -2/7, 1
Suppose -3*r + 7*r = 8. Suppose 5*h - 20 = -10. Determine l, given that -4/3*l**r + 4/3*l**4 + 0 - 2*l**5 + h*l**3 + 0*l = 0.
-1, 0, 2/3, 1
Let v(g) be the third derivative of -g**8/84 + 2*g**7/35 - g**6/10 + g**5/15 + 14*g**2. Factor v(b).
-4*b**2*(b - 1)**3
Let s(j) be the third derivative of 0 - 1/30*j**5 + 0*j**3 + 0*j + 1/120*j**6 + 1/24*j**4 + j**2. Factor s(m).
m*(m - 1)**2
Let q(n) be the first derivative of -n**6/6 - 6*n**5/5 - 3*n**4 - 8*n**3/3 - 5. Factor q(f).
-f**2*(f + 2)**3
Factor 8/5*z**4 + 128/5 + 408/5*z**2 + 608/5*z + 98/5*z**3.
2*(z + 4)**3*(4*z + 1)/5
Let b be 18/(-2)*(-2 - 2). Factor b*t**2 + 6*t**4 - 22*t**2 - 22*t**2 + 2*t**5.
2*t**2*(t - 1)*(t + 2)**2
Let o(z) be the third derivative of 0*z - 1/1176*z**8 + 0 + 1/105*z**5 - 1/210*z**6 - 1/245*z**7 + 1/21*z**3 + 3*z**2 + 1/28*z**4. Find h such that o(h) = 0.
-1, 1
Let o(l) be the second derivative of 5*l**4/3 + 2*l**3/3 + 8*l. Find g, given that o(g) = 0.
-1/5, 0
Suppose -5*m - 4*w = -3 + 1, 4*w - 20 = 4*m. Let k be -4*1/3 - m. Factor -k*l - 2/3*l**2 + 2/3*l**3 + 2/3.
2*(l - 1)**2*(l + 1)/3
Suppose -16*r = -20*r. Let p(x) be the second derivative of -1/20*x**5 + r*x**3 + 0*x**2 + 0*x**4 + 1/30*x**6 + 0 - x. Factor p(q).
q**3*(q - 1)
Let s(a) be the first derivative of 4/9*a**2 + 0*a + 3 - 8/9*a**3 + 1/2*a**4. Find d, given that s(d) = 0.
0, 2/3
Let a(h) be the first derivative of 22/3*h**3 - 3*h**4 - 5 + 3*h**2 - 4*h. Factor a(z).
-2*(z - 2)*(2*z + 1)*(3*z - 1)
Let z be (-15)/6 + (-6)/(-4). Let s be (-3 - -1)/(1*z). Find v su