 = 0.
1
Suppose -4 = -y - 1. Find d such that 2*d**2 - 4 + 2*d**4 - d**4 - 3*d**3 + y*d + 2 - d**2 = 0.
-1, 1, 2
Let t be (-2)/45*(-6)/224. Let v(n) be the third derivative of 1/240*n**5 + n**2 + 0*n**4 - t*n**7 + 0*n**3 + 0*n + 0 + 0*n**6. What is k in v(k) = 0?
-1, 0, 1
Let u(l) be the third derivative of -l**6/90 + l**5/90 + l**4/36 + 7*l**2. Factor u(g).
-2*g*(g - 1)*(2*g + 1)/3
Let f(i) be the second derivative of -4/27*i**3 + i + 1/135*i**6 + 0 - 2/45*i**5 + 1/9*i**2 + 1/9*i**4. Let f(x) = 0. What is x?
1
Let w(d) = 16*d**5 - 16*d**4 + 11*d**2 + 11*d - 11. Let h(a) = 3*a**5 - 3*a**4 + 2*a**2 + 2*a - 2. Let o = -1 - -5. Let u(f) = o*w(f) - 22*h(f). Factor u(v).
-2*v**4*(v - 1)
Let c(k) be the second derivative of k**7/336 + k**6/48 + k**5/16 + 5*k**4/48 + 5*k**3/48 + k**2/16 - 18*k. Determine z, given that c(z) = 0.
-1
Let o be ((-17)/(-170))/(2/8). Factor 0*a + 0 + o*a**2 - 1/5*a**3.
-a**2*(a - 2)/5
Let -1/3*p**3 + 4/3 + 2*p**2 - 3*p = 0. Calculate p.
1, 4
Suppose -11*f + 18*f = 21. What is m in -343/4*m**4 - 4 - 245*m**f - 168*m**2 - 44*m = 0?
-2, -2/7
Let x = -24 - -28. Solve -2*b**2 + b**3 + 7*b**2 - x*b**2 = 0.
-1, 0
Suppose 2*l = 4*l - 18. Let c be (3 - (-1)/(-1)) + 1. Find v, given that -2 + 3 + 1 + 4 + l*v + c*v**2 = 0.
-2, -1
Let k(j) be the second derivative of j**8/3360 + j**7/1680 - j**6/720 - j**5/240 + j**3/3 - 2*j. Let t(w) be the second derivative of k(w). Factor t(l).
l*(l - 1)*(l + 1)**2/2
Let b(o) be the first derivative of -100*o**3/3 - 140*o**2 - 196*o - 50. Factor b(h).
-4*(5*h + 7)**2
Let l(a) be the third derivative of -1/42*a**4 - 1/21*a**3 + 0*a - 1/210*a**5 - 3*a**2 + 0. Factor l(n).
-2*(n + 1)**2/7
Factor 2*t - 3*t**2 - 3*t**4 + 4*t**4 + 0*t**4.
t*(t - 1)**2*(t + 2)
Let 0 - t**2 - 1/2*t**3 - 1/2*t = 0. Calculate t.
-1, 0
Let m(s) be the third derivative of -s**6/120 + 7*s**5/60 + 17*s**4/24 + 3*s**3/2 - 49*s**2. Factor m(a).
-(a - 9)*(a + 1)**2
Factor n**5 + 1/3*n**3 + 0*n**2 + 4/3*n**4 + 0 + 0*n.
n**3*(n + 1)*(3*n + 1)/3
Determine t so that -2*t - 2*t**4 + 328*t**2 - 4 + 6*t**3 - 4*t**3 - 322*t**2 = 0.
-1, 1, 2
Let i(d) be the third derivative of -d**7/525 - d**6/100 - d**5/50 - d**4/60 - 6*d**2. Factor i(a).
-2*a*(a + 1)**3/5
Let o(n) = -n**2 - 9*n - 18. Let h be o(-6). Factor 0*s**3 - 1/5*s**5 - 1/5*s**4 + 0*s**2 + 0*s + h.
-s**4*(s + 1)/5
Let q be (-2)/4 + (-11)/(-14). Find v such that q*v - 4/7 + 6/7*v**2 = 0.
-1, 2/3
Let m = 104 - 104. Let o(h) be the second derivative of m - 1/105*h**6 + 0*h**3 + h + 1/21*h**4 - 1/7*h**2 + 0*h**5. Factor o(s).
-2*(s - 1)**2*(s + 1)**2/7
Suppose 4*q + 4 = -0*q, 4*y - q - 21 = 0. Let n(a) be the second derivative of 0 - 3/10*a**6 + a**3 - 3/10*a**y + 3/4*a**4 - 4*a + 0*a**2. Factor n(v).
-3*v*(v - 1)*(v + 1)*(3*v + 2)
Let x(j) = j**2 - 9*j - 5. Let p be x(10). Factor 2*i**3 + 6*i**2 - i**3 - 7*i**3 + 6*i + 3*i - 3*i**p - 9*i**4 + 3.
-3*(i - 1)*(i + 1)**4
Let r be 1/11 - 3/33. Let h(m) be the second derivative of 0 + 4*m + 2/21*m**3 - 1/42*m**4 + r*m**2. Factor h(b).
-2*b*(b - 2)/7
Let r(i) = -3*i**3 + 2*i**2 - 7*i + 3. Suppose 5*a = a + 8. Let k(o) = -3 - 4*o + o**2 + 0*o - a*o**3 + 5. Let b(j) = -10*k(j) + 6*r(j). Solve b(x) = 0.
-1, 1
Solve 0*t + 3/5*t**3 - 3/5*t**2 - 3/5*t**5 + 0 + 3/5*t**4 = 0 for t.
-1, 0, 1
Let f = -79 - -82. Factor 0*b**2 + 1/5*b**4 + 1/5*b**f + 0*b + 0.
b**3*(b + 1)/5
Let u(o) be the third derivative of -o**8/840 - o**7/420 + o**6/90 + o**3/3 + 3*o**2. Let d(b) be the first derivative of u(b). Factor d(x).
-2*x**2*(x - 1)*(x + 2)
Solve -3*t + 2*t**3 - 4 + 0*t**3 - 3*t = 0 for t.
-1, 2
Let n(m) = -m - 3. Let w be n(-5). Let t be w*1*(-21)/(-14). Solve -s**3 - s**2 - 2*s**4 + 6*s**2 + 2*s**3 - s**5 - t*s**2 = 0 for s.
-2, -1, 0, 1
Let j(x) be the second derivative of x**7/70 - 13*x**6/150 + 17*x**5/100 - x**4/20 - 4*x**3/15 + 2*x**2/5 - 23*x. Factor j(z).
(z - 2)*(z - 1)**3*(3*z + 2)/5
Let y(b) be the third derivative of -b**5/600 - b**4/120 - b**3/60 - 10*b**2. Determine f, given that y(f) = 0.
-1
Let u(h) = -2*h**3 + 9*h**2 + 15*h + 4. Let w(x) = -x**3 + 8*x**2 + 14*x + 4. Let t(k) = 2*u(k) - 3*w(k). Let a(p) be the first derivative of t(p). Factor a(z).
-3*(z + 2)**2
Let i be 2/3*(-315)/(-70). Let -4/11 - 2/11*t**i + 6/11*t + 0*t**2 = 0. Calculate t.
-2, 1
Let b(y) = 4*y**2 - 21*y. Let t(m) = -2*m + 5. Let o(n) = -n + 3. Let k(s) = 5*o(s) - 3*t(s). Let g(x) = -b(x) - 5*k(x). Let g(r) = 0. What is r?
0, 4
Let q(m) be the first derivative of -m**6/12 + m**5/60 + 7*m**4/24 + m**3/3 - 3*m**2/2 - 5. Let v(y) be the second derivative of q(y). Factor v(r).
-(r - 1)*(2*r + 1)*(5*r + 2)
Factor -2*g**2 - 4/11*g + 0 - 18/11*g**3.
-2*g*(g + 1)*(9*g + 2)/11
Let o(u) be the third derivative of -u**5/100 - u**4/60 - 4*u**2. Factor o(n).
-n*(3*n + 2)/5
Let p(x) be the third derivative of x**7/840 - x**6/480 - x**5/240 + x**4/96 - 6*x**2. Suppose p(b) = 0. What is b?
-1, 0, 1
Let o = -2 - -2. Let m be ((-4)/6)/((-1)/3). Factor 2/3*j**5 - 2/3*j**m - 2*j**4 + 2*j**3 + 0*j + o.
2*j**2*(j - 1)**3/3
Suppose 3*s + 13 = -v, -5*v = -3*s - 5 + 16. Let l be (-3)/(-6) + (-6)/v. Let -2/3*z**l + 2/9 - 4/9*z = 0. What is z?
-1, 1/3
Factor 2 + 1/4*b**2 + 5/2*b - 1/4*b**3.
-(b - 4)*(b + 1)*(b + 2)/4
Let t(o) be the second derivative of 6*o + 1/9*o**3 - 2/9*o**2 + 0 + 7/90*o**5 + 2/9*o**4. Factor t(v).
2*(v + 1)**2*(7*v - 2)/9
Let q(g) be the first derivative of -5 + 5/8*g**4 - 5/4*g**2 - g + 3/2*g**3 - 7/10*g**5. Solve q(w) = 0 for w.
-1, -2/7, 1
Let i(p) be the first derivative of 0*p + 1/15*p**5 + 2/9*p**3 - 2 + 0*p**2 + 1/4*p**4. Solve i(a) = 0.
-2, -1, 0
Factor -1/9*d - 1/9*d**2 + 2/9.
-(d - 1)*(d + 2)/9
Solve -2/5 - 4/5*b - 2/5*b**2 = 0 for b.
-1
Find u such that 16*u**4 + 14*u**3 + 8*u**2 - 12*u**5 + 16*u**5 + 6*u**3 = 0.
-2, -1, 0
Let r be ((-8)/6)/2*-6. Suppose -1 = -y, 2*o - 2 = 3*o - r*y. Solve -6/11*u**o - 4/11 + 10/11*u = 0 for u.
2/3, 1
Let k(a) be the second derivative of -10*a**7/147 + 44*a**6/105 - 38*a**5/35 + 32*a**4/21 - 26*a**3/21 + 4*a**2/7 - 13*a. Find b, given that k(b) = 0.
2/5, 1
Let b(o) be the first derivative of -125*o**6/9 + 40*o**5/3 + 115*o**4/6 - 76*o**3/9 - 44*o**2/3 - 16*o/3 + 7. Factor b(g).
-2*(g - 1)**2*(5*g + 2)**3/3
Let i(w) be the first derivative of -1/4*w**4 + 3 - 2/5*w**5 + 0*w**3 + 0*w**2 + 0*w - 1/6*w**6. Let i(m) = 0. What is m?
-1, 0
Let j(u) = -u**2 + 5*u + 3. Let f be j(4). Suppose 2*v + 3*x - f = -3*v, -x = v - 1. Factor 0 - 2/5*b + 2/5*b**v.
2*b*(b - 1)/5
Let f(z) be the first derivative of -z**7/280 - z**6/20 - 3*z**5/10 - z**4 + 3*z**3 - 8. Let p(c) be the third derivative of f(c). Let p(i) = 0. What is i?
-2
Let y = -90 + 93. Find x such that 0 + 2*x**y - 2*x**4 + 2/3*x**5 + 0*x - 2/3*x**2 = 0.
0, 1
Let y be (10/30)/(8/42). Let s(w) be the first derivative of -16/3*w**3 + 1 - y*w**4 - 11/2*w**2 - 2*w. Find u, given that s(u) = 0.
-1, -2/7
Suppose 6 + 12 = 6*j. What is p in 0 + 1/3*p**2 + 1/3*p**4 + 2/3*p**j + 0*p = 0?
-1, 0
Let i(q) be the second derivative of -q**5/10 + q**4/12 + 3*q. Let m be i(-1). Find f, given that -2*f + 2*f + 3*f**m - 3*f = 0.
-1, 0, 1
Let q = 0 - -3. Suppose 0 = 2*p - 2 - 0. Factor -3*v + 2*v**3 - q*v**3 + 0*v**2 - 3*v**2 - p.
-(v + 1)**3
Let y(g) be the second derivative of -g**5/150 + g**3/15 + 2*g**2/15 + 10*g. Factor y(o).
-2*(o - 2)*(o + 1)**2/15
Let x(t) = 15*t**3 + 45*t**2 + 40*t. Let d(i) = 8*i**3 + 22*i**2 + 20*i. Let r(b) = 5*d(b) - 3*x(b). Find v, given that r(v) = 0.
-4, -1, 0
Suppose 2*h - 1 = n, -7*n = -5*h - 12*n + 25. Let k(z) be the second derivative of 0 + 2*z + 2*z**4 + 5/2*z**3 - 4/5*z**5 + z**h. Solve k(i) = 0 for i.
-1/4, 2
Let c(i) be the second derivative of -i**6/45 + i**5/15 - 2*i**3/9 + i**2/3 + 19*i. What is a in c(a) = 0?
-1, 1
Let j = 3 + 0. Suppose 3 = 5*z - 2*l - 5, -j*z - 3*l = 12. Let z + 0*v + 2/9*v**3 - 2/9*v**5 - 2/9*v**2 + 2/9*v**4 = 0. What is v?
-1, 0, 1
Let b(a) be the first derivative of -1/8*a**4 + 0*a**2 + 2 + 1/20*a**5 + 1/12*a**3 + 0*a. Determine o, given that b(o) = 0.
0, 1
Let k = 9 - 6. Suppose -7*n = -3*n - p - 27, -5*n - 2*p = -37. What is g in 54*g**5 - 20*g - n*g**2 + 3*g**k + 4*g + 9*g**3 - 90*g**4 + 47*g**2 = 0?
-2/3, 0, 2/3, 1
Let y be (-4 - -3) + 12/(-3). Let i = y - -10. Find s such that 2*s**3 + 7*s**4 - 3*s**4 + i*s**5 - 3*s**5 = 0.
-1, 0