*w**4 = 0.
-1
Let c = -32 + 35. Let f(m) be the first derivative of 2/3*m**c - 1/2*m**4 - 2 + 0*m - 2/5*m**5 + m**2. Let f(l) = 0. What is l?
-1, 0, 1
Let x(y) = 15*y**5 + 30*y**4 + 36*y**3 - 21*y. Let u(g) = -3*g**5 - 6*g**4 - 7*g**3 + 4*g. Let z(q) = -21*u(q) - 4*x(q). Find f, given that z(f) = 0.
-1, 0
Suppose 6*o + 4 - 22 = 0. Let 15/4*f**2 - 27/4*f + 3/2 - 21/4*f**4 + 27/4*f**o = 0. Calculate f.
-1, 2/7, 1
Solve -6*v**3 + 8*v**2 - 3*v - 4 + 17*v**5 + 4 - 16*v**5 = 0 for v.
-3, 0, 1
Let k(q) be the second derivative of 3*q**5/8 + 25*q**4/24 + 5*q**3/6 - 11*q. Find v, given that k(v) = 0.
-1, -2/3, 0
Suppose 16 = k + 5*t, -k + 3*t - 30 = -5*k. Suppose 0*b - 15 = -3*b - 2*r, b + r - k = 0. Let 1/3*d**4 - 1/3 + 2/3*d**b - 2/3*d + 0*d**2 = 0. Calculate d.
-1, 1
Let q(r) be the third derivative of r**5/90 - r**4/9 + r**3/3 - 4*r**2. Factor q(b).
2*(b - 3)*(b - 1)/3
Let j(g) be the first derivative of 5*g**3 - 25*g**2/2 + 1. Factor j(m).
5*m*(3*m - 5)
Let a(f) = 4*f**4 - f**3 - 5*f**2 - 5*f - 5. Let r(q) = -5*q**4 + q**3 + 6*q**2 + 6*q + 6. Let u(m) = 6*a(m) + 5*r(m). Factor u(v).
-v**3*(v + 1)
Let g = 307/390 - -1/78. Factor g + 44/5*z**4 + 64/5*z**2 - 76/5*z**3 - 2*z**5 - 26/5*z.
-2*(z - 1)**4*(5*z - 2)/5
Let z = 171257/7 + -24546. Let n = z + 81. Solve -4/7*b - n*b**2 - 2/7 = 0 for b.
-1
Let 6/17*h**2 + 2/17*h**4 + 2/17*h + 0 + 6/17*h**3 = 0. What is h?
-1, 0
Factor -4 - 9 + 4*v + 2 + 3 + 4*v**2.
4*(v - 1)*(v + 2)
Let k(t) be the first derivative of 1/3*t**2 - 1/36*t**4 + 3*t + 1 - 1/18*t**3. Let u(s) be the first derivative of k(s). Solve u(b) = 0 for b.
-2, 1
Determine x so that 2/23*x**5 + 2/23*x**2 + 0 + 6/23*x**3 + 0*x + 6/23*x**4 = 0.
-1, 0
Let n(y) = -15*y**3 - 75*y**2 - 60*y - 17. Let u(v) = 5*v**3 + 25*v**2 + 20*v + 6. Let q(c) = 6*n(c) + 17*u(c). Find l such that q(l) = 0.
-4, -1, 0
Let r(y) be the second derivative of -2/45*y**6 - 1/63*y**7 - 5*y + 0 + 0*y**4 + 0*y**3 + 0*y**2 - 1/30*y**5. Factor r(q).
-2*q**3*(q + 1)**2/3
Let w(n) = -7*n**2 - n - 12. Let u(k) = 6*k**2 + 2*k + 11. Let x(f) = 6*u(f) + 5*w(f). Solve x(a) = 0.
-6, -1
Let m(v) be the first derivative of 2 - 2*v**3 - 3/2*v**2 - 1/2*v**6 + 3*v + 3/5*v**5 + 3/2*v**4. Factor m(x).
-3*(x - 1)**3*(x + 1)**2
Factor 0*u + 0 + 3/8*u**3 - 3/8*u**2.
3*u**2*(u - 1)/8
Factor -1/2*f**2 + 0 + 5/2*f.
-f*(f - 5)/2
Let x(i) be the second derivative of -i**6/65 + i**5/65 + 2*i**4/39 - 2*i**3/39 - i**2/13 + 3*i. Solve x(h) = 0.
-1, -1/3, 1
Find v, given that 0*v + 2 + 3*v + 2*v**3 - 5*v**3 - 5 + 3*v**2 = 0.
-1, 1
Let g(j) = 6*j**2 - 28*j + 2. Let o(d) = d**2 + 1. Let p(i) = g(i) - 2*o(i). Factor p(t).
4*t*(t - 7)
Let c = 3/32 + 37/288. Factor -c*y**2 - 2/9*y + 0.
-2*y*(y + 1)/9
Suppose -x - 63 = -22*x. Let y(z) be the first derivative of 1/11*z**2 + 0*z + 2/33*z**x + 1. Factor y(k).
2*k*(k + 1)/11
Let c(l) be the first derivative of 4*l**4 + 12*l**3 + 4*l**2 - 8. Factor c(g).
4*g*(g + 2)*(4*g + 1)
Factor -4/15 + 2/3*y - 8/15*y**2 + 2/15*y**3.
2*(y - 2)*(y - 1)**2/15
Let b(w) be the second derivative of w**5/60 - w**4/24 - 3*w**2/2 - 4*w. Let j(c) be the first derivative of b(c). Determine y, given that j(y) = 0.
0, 1
Let p(y) be the third derivative of y**6/240 + y**5/30 - 12*y**2. Factor p(u).
u**2*(u + 4)/2
Let b(y) = -y**2. Let w(j) = 6*j**3 - 9*j**2 + 4*j. Let x(v) = 5*b(v) + w(v). Determine z so that x(z) = 0.
0, 1/3, 2
Let f(t) be the second derivative of -t**8/1470 + 3*t**7/980 - t**6/210 + t**5/420 + t**3 - 5*t. Let b(l) be the second derivative of f(l). Factor b(x).
-2*x*(x - 1)**2*(4*x - 1)/7
Find n, given that -5/7*n**3 - 2/7*n**2 + 0*n + 0 = 0.
-2/5, 0
Suppose 3*g**5 - 6*g**2 + 6*g**2 + 3*g**3 - 9*g**3 + 3*g = 0. Calculate g.
-1, 0, 1
Let t(n) be the second derivative of n**7/2940 - n**5/420 - n**3/3 + 3*n. Let v(j) be the second derivative of t(j). Suppose v(w) = 0. Calculate w.
-1, 0, 1
Suppose -28*p + 32*p - 8 = 0. Let r(k) be the first derivative of 2 - p*k + 2/3*k**3 + 0*k**2. Factor r(m).
2*(m - 1)*(m + 1)
Let q(s) be the first derivative of 5*s**3/3 + 15*s**2 + 25*s + 19. Find t such that q(t) = 0.
-5, -1
Suppose s - 23 - 26 = 0. Let f = -195/4 + s. Solve f*m**3 - 1/4*m**2 + 0*m + 0 = 0.
0, 1
Let t(x) be the third derivative of -x**8/23520 + x**7/2940 - x**6/1260 - x**4/6 + x**2. Let k(g) be the second derivative of t(g). Find a, given that k(a) = 0.
0, 1, 2
Let r(v) be the third derivative of -1/180*v**6 + 0 - 1/36*v**4 + 0*v + 2*v**2 + 0*v**3 + 1/45*v**5. Suppose r(s) = 0. What is s?
0, 1
Let d(t) = -t**3 - 6*t**2 + t + 6. Let q be d(-6). Let m = -133 - -137. Suppose 2/11*f**2 + 6/11*f**m + 0 + q*f - 6/11*f**3 - 2/11*f**5 = 0. What is f?
0, 1
Let j(v) be the second derivative of -v**6/90 - v**5/15 - v**4/6 + v**3 + 4*v. Let y(f) be the second derivative of j(f). What is a in y(a) = 0?
-1
Let l(p) = -p**4 - p. Let a(w) = w**4 + w**2 + 2*w. Let s be (-8)/16 - (-9)/2. Let r(y) = s*l(y) + 2*a(y). Find o such that r(o) = 0.
-1, 0, 1
Let m = 88 - 419/5. Suppose 27/5*w**2 - 3*w - 6/5 - m*w**4 + 3*w**3 = 0. What is w?
-1, -2/7, 1
Let l(y) be the first derivative of 4 - 5*y**5 + 15/2*y**4 + 0*y - 4*y**3 + 4/5*y**2. Find a, given that l(a) = 0.
0, 2/5
Suppose 2*z - 14 = -f, -4*f - 3*z = f - 35. Let v be f/28 + (-45)/(-21). Determine u so that v*u**3 + 18/7*u**4 - 18/7*u**2 + 0 + 4/7*u - 20/7*u**5 = 0.
-1, 0, 2/5, 1/2, 1
Let t(i) be the first derivative of -i**6/2 - 6*i**5/5 + 2*i**3 + 3*i**2/2 - 16. Factor t(w).
-3*w*(w - 1)*(w + 1)**3
Let t(i) = i**2 + 10*i - 11. Let c be t(-11). Factor c + 5 - 2*r**2 - 7 + 4*r.
-2*(r - 1)**2
Let k(h) = -2*h**2 + 22*h + 2. Let s be k(11). Determine y so that -4/7*y**s + 4/7 + 2/7*y**3 - 2/7*y = 0.
-1, 1, 2
Let c be 1 + -7 + (-2 - -11). Determine t so that 4/17*t**2 + 0*t - 2/17*t**c + 0 = 0.
0, 2
Let y be 6/(0 - (-3 + 1)). Suppose x + 5*s = -7, -3*s - 9 = -y*x + 6. Factor -10*h - 3 - 10*h**2 - 3*h**x + h**2 + h.
-3*(h + 1)**3
Let t(q) be the first derivative of 1/6*q**6 + 0*q**3 + 0*q**5 + 0*q - 4 - 1/4*q**4 + 0*q**2. Factor t(x).
x**3*(x - 1)*(x + 1)
Let x(k) be the first derivative of 10*k**3/3 - 35*k**2/2 + 15*k - 2. Factor x(c).
5*(c - 3)*(2*c - 1)
Factor -2/7*l + 0*l**2 + 0*l**4 + 0 - 2/7*l**5 + 4/7*l**3.
-2*l*(l - 1)**2*(l + 1)**2/7
Let g = 34 + -33. Let z be g + 3/((-9)/(-1)). Factor -2/3*n + 2*n**3 + z - 8/3*n**2.
2*(n - 1)**2*(3*n + 2)/3
Let h(y) = 25*y**4 + 25*y**3 - 10*y**2 - 20*y - 5. Let a(g) = 24*g**4 + 25*g**3 - 11*g**2 - 21*g - 5. Let i(v) = 5*a(v) - 4*h(v). Let i(l) = 0. What is l?
-1, -1/4, 1
Let t(w) be the third derivative of -w**10/21600 - w**9/12096 + w**8/10080 - w**5/15 - 2*w**2. Let i(m) be the third derivative of t(m). Solve i(b) = 0.
-1, 0, 2/7
Let y(i) be the third derivative of 0*i - 9/2*i**3 + 3/4*i**4 - 4*i**2 + 0 - 1/20*i**5. Factor y(s).
-3*(s - 3)**2
Let s(w) = w**4 - 2*w**3 - 4*w**2 + 2*w - 1. Let a(r) = -r**3 - r**2 + r - 1. Let d(n) = -4*a(n) + 2*s(n). Suppose d(l) = 0. What is l?
-1, 1
Let t be 12/(-9)*9/(-6). Find m such that m**2 + 2*m**2 - 6*m**t = 0.
0
Let w = -2375/18 + 132. Let d(i) be the first derivative of 1/6*i**2 - 1/6*i**4 - 3 + 0*i + w*i**6 + 0*i**5 + 0*i**3. Factor d(m).
m*(m - 1)**2*(m + 1)**2/3
Let q(p) be the second derivative of p**3 + 4*p + 1/10*p**5 + 1/2*p**4 + p**2 + 0. Find u such that q(u) = 0.
-1
Let j = -3288/5 - -658. Factor -6/5 - j*s**2 - 8/5*s.
-2*(s + 1)*(s + 3)/5
Let i(t) be the first derivative of 12*t**5/5 - 4*t**4 - 56*t**3/3 - 8*t**2 + 12*t + 11. Let i(x) = 0. Calculate x.
-1, 1/3, 3
Suppose w = -4*w. Let h(a) be the second derivative of w*a**2 + 0 - 1/42*a**4 - 1/21*a**3 - a. Find g such that h(g) = 0.
-1, 0
Let l(g) be the first derivative of g**6/14 + 33*g**5/35 + 129*g**4/28 + 73*g**3/7 + 12*g**2 + 48*g/7 + 20. Factor l(k).
3*(k + 1)**3*(k + 4)**2/7
Let x(l) be the second derivative of l**6/30 + l**5/10 - l**4/12 - l**3/3 - 14*l. Find i such that x(i) = 0.
-2, -1, 0, 1
Let q = -17 + 38. Let z = q - 13. Let 6*f**3 + 0*f**4 + 6*f**5 - 4*f**3 - z*f**4 = 0. What is f?
0, 1/3, 1
Let h(g) = -g - 5. Let f be h(-7). Let s be 1/(-3)*-3*f. Factor 9*b - 3*b**5 + 10*b**2 + s - 12*b**4 - 4*b**3 - b**5 - b**5.
-(b - 1)*(b + 1)**3*(5*b + 2)
Let v be 3 - (-3)/(9/66). Let a be v/(-10)*6/(-5). Factor 1/4*n**4 - 3/4*n**a + 3/4*n**2 + 0 - 1/4*n.
n*(n - 1)**3/4
Factor -209*h - 56*h 