9 + 7*p**2/12 - 2*p/3 + 13. Factor k(w).
-(w - 1)**2*(w + 4)/6
Suppose h + 6 = 3*h. Suppose -h*c = -0*c - 6. Suppose 1 + 4 - 2*z**c - 3 = 0. Calculate z.
-1, 1
Let r(c) be the first derivative of -9*c**4/20 - 2*c**3 - 27*c**2/10 - 6*c/5 - 4. Factor r(g).
-3*(g + 1)*(g + 2)*(3*g + 1)/5
Let g = 8 - 2. Factor g*z**2 - 2*z**3 + 3*z**3 - 4*z**3.
-3*z**2*(z - 2)
Let x(v) = v**3 - v**2 - v - 1. Let z(w) = 3*w**3 + 7*w**2 - 29*w + 11. Let c(q) = 10*x(q) - 2*z(q). Suppose c(u) = 0. Calculate u.
2
Let q be -4 - (6/(-16))/((-24)/(-272)). Factor 7/4*t**2 - q*t**5 + 0 + 5/4*t**4 - 9/4*t**3 - 1/2*t.
-t*(t - 2)*(t - 1)**3/4
Find k, given that -16 + 2*k**3 + 30 - 14 = 0.
0
Determine a so that 15/4 - 3*a**2 - 9/2*a**3 + 9/2*a - 3/4*a**4 = 0.
-5, -1, 1
Let q = 902 - 902. Factor -1/4*b**4 + q - 1/4*b**3 + 1/2*b**2 + 0*b.
-b**2*(b - 1)*(b + 2)/4
Let j = 76 - 76. Factor 0*u + j*u**2 + 0 - 2/5*u**3.
-2*u**3/5
Suppose t + f - 6 = 0, 6*t - 3*t - 2*f = -2. Factor 4/3*k**2 + 1/3*k**5 + 4/3*k**4 + 0 + t*k**3 + 1/3*k.
k*(k + 1)**4/3
Let j be (-21)/(-42)*(1 + 3). Let g(p) be the second derivative of 2*p + 2/3*p**3 + 0 + 0*p**j + 1/6*p**4. Determine v so that g(v) = 0.
-2, 0
Let a(k) be the third derivative of -k**5/90 + k**4/36 + 10*k**2. Find j such that a(j) = 0.
0, 1
Let f(n) = n**4 + n**3 - n**2 - n. Let w(p) = -2*p**4 + 4*p**3 + 11*p**2 + 5*p. Let b(s) = -5*f(s) - w(s). Factor b(t).
-3*t**2*(t + 1)*(t + 2)
Let b be 9/27*2486/(-6). Let m = b - -139. Solve 8/9 - m*t + 2/9*t**2 = 0 for t.
2
Let u(m) = 11*m**2 + 7*m - 13. Let t(d) = -5*d**2 - 3*d + 6. Let y = 10 + -1. Suppose 0*b = -b + 4. Let x(i) = b*u(i) + y*t(i). Solve x(l) = 0.
-1, 2
Let a = 44 - 87/2. Factor -1/2*h**2 + 1 - a*h.
-(h - 1)*(h + 2)/2
Let j(a) be the first derivative of 8 + 1/10*a**4 + 0*a + 1/5*a**2 + 4/15*a**3. Solve j(c) = 0 for c.
-1, 0
Let v = 17 - 9. Let y be (-6)/8*v/(-15). Factor -2/5 + 4/5*w - y*w**2.
-2*(w - 1)**2/5
Let h(w) be the second derivative of -w**6/30 + w**5/20 + 8*w. Find t, given that h(t) = 0.
0, 1
Let q(t) be the first derivative of t**6/10 + 39*t**5/25 + 36*t**4/5 + 36*t**3/5 - 28. Factor q(o).
3*o**2*(o + 1)*(o + 6)**2/5
Let w = 996/7 - 142. What is f in -w + 4/7*f - 2/7*f**2 = 0?
1
Suppose 0 = -2*n + 5*n. Let o be 87/9 - (n - 1). Suppose -2/3*z**5 + o*z - 32/3*z**3 + 16/3*z**2 - 32/3 + 14/3*z**4 = 0. What is z?
-1, 2
Let z(d) = 2*d + 14. Let t(l) = -l - 7. Let x(s) = -13*t(s) - 6*z(s). Let y be x(-5). Factor 0*m**y + 2/5*m**3 + 0 - 2/5*m.
2*m*(m - 1)*(m + 1)/5
Suppose 4/7 - 6/7*k + 2/7*k**3 + 0*k**2 = 0. What is k?
-2, 1
Let t(v) = -v - 1. Let x be t(-5). Suppose -4*m - 10 = -5*q, x*q - 4 = -m + 2*q. Factor -1/3*j**4 - j**2 + j**3 + m + 1/3*j.
-j*(j - 1)**3/3
Let d be (-5)/(-15)*(-12)/(-2). Factor d - 5*g - 3 - g**2 + g + 2*g.
-(g + 1)**2
Let v(l) = 2 - 6*l - 1 + 2 + 0 - l**2. Let o be v(-6). Factor -4 + 8 - x**3 - 8*x + x**3 - x**o + 5*x**2.
-(x - 2)**2*(x - 1)
Let d(k) be the second derivative of -5*k**4/12 + 5*k**3/2 + 10*k**2 + 11*k. Suppose d(h) = 0. Calculate h.
-1, 4
Let r(i) be the third derivative of -6*i**2 - 2/27*i**3 + 1/270*i**5 + 0 + 0*i + 1/108*i**4. Factor r(g).
2*(g - 1)*(g + 2)/9
Let l(b) be the second derivative of b**7/525 - b**5/150 - b**2 - 2*b. Let z(v) be the first derivative of l(v). Solve z(p) = 0.
-1, 0, 1
Let f(w) be the first derivative of -3*w**4/16 + 9*w**2/8 - 3*w/2 - 31. Find m, given that f(m) = 0.
-2, 1
Let n = 755/18 + -364/9. Let 0 + 1/2*x**3 + x + n*x**2 = 0. Calculate x.
-2, -1, 0
Let a be (-102)/(-360) - (2 - (-14)/(-8)). Let n(u) be the second derivative of -3*u - 1/10*u**5 - 1/12*u**4 + 0*u**2 - a*u**6 + 0 + 0*u**3. Factor n(m).
-m**2*(m + 1)**2
Let q(p) be the second derivative of 0*p**2 + 1/6*p**3 - 4*p - 11/24*p**4 + 21/40*p**5 + 5/84*p**7 + 0 - 17/60*p**6. Factor q(y).
y*(y - 1)**3*(5*y - 2)/2
Suppose -4*v - 100*v**2 + 4 - 4 + 98*v**2 = 0. Calculate v.
-2, 0
Let z(k) = 5*k**4 + 29*k**3 + 3*k**2 - 3*k + 3. Let f(b) = 11*b**4 + 57*b**3 + 7*b**2 - 5*b + 5. Let c(y) = -6*f(y) + 10*z(y). Factor c(g).
-4*g**2*(g + 3)*(4*g + 1)
Factor 9*z - 29*z**2 - 49*z + 31*z**2 + 200.
2*(z - 10)**2
Find z such that 1/5*z**5 - 4/5*z**4 + 0 - 2/5*z**2 + z**3 + 0*z = 0.
0, 1, 2
Factor 0 + 1/3*z**2 - 2/3*z + 1/3*z**3.
z*(z - 1)*(z + 2)/3
Suppose -5*u = -4*u - 6. Factor -3 + 2*x**4 + 3 + 11*x - 7*x - u*x**2.
2*x*(x - 1)**2*(x + 2)
Let q(d) be the third derivative of -d**7/210 + d**6/40 - d**5/60 - d**4/8 + d**3/3 + 28*d**2. Factor q(c).
-(c - 2)*(c - 1)**2*(c + 1)
Let z(s) be the second derivative of 7*s**5/5 + 23*s**4/3 + 40*s**3/3 + 8*s**2 + 8*s. Suppose z(b) = 0. What is b?
-2, -1, -2/7
Let v(k) = -17*k**2 - 201*k - 1143. Let r(j) = 4*j**2 + 50*j + 286. Let o(q) = -9*r(q) - 2*v(q). Let o(b) = 0. What is b?
-12
Let c(j) = -j**3 - j**2 - j. Let x be c(0). Suppose x = -0*z - 5*z + 20. Factor -z*i - 2 - 2*i**2 + 1 - 1.
-2*(i + 1)**2
Let l be (25/4)/(3/12). Suppose 0 = -4*h + m - 0*m + l, 4*m + 30 = 2*h. Factor -2*t**2 + t**5 - 3*t**5 + 2*t**4 + 2*t + t**h - t.
-t*(t - 1)**3*(t + 1)
Let h = 15 - 10. Factor 68*l**4 - 65*l**4 - 2*l + l**3 + 4*l**5 - 3*l**h - 3*l**2.
l*(l - 1)*(l + 1)**2*(l + 2)
Factor 4*g**4 + 4*g**3 + 0 + 4/3*g**5 + 0*g + 4/3*g**2.
4*g**2*(g + 1)**3/3
Let -1/3*j**3 + 1/3*j**2 + 0 + 0*j = 0. Calculate j.
0, 1
Suppose 0 = -i + 3*i + 2*s - 6, 0 = -2*i - 5*s + 9. Factor d + d**i + 2*d + 3*d**2 - d**2.
3*d*(d + 1)
Let i = 1/261 - -1039/1305. Suppose -i*d**4 + 0*d**2 - 2/5*d**5 + 0*d**3 + 0 + 0*d = 0. Calculate d.
-2, 0
Let r be 0 + 2 + 2 - 280/77. What is x in -2/11*x**4 + 2/11*x**3 + 6/11*x**2 - 2/11*x - r = 0?
-1, 1, 2
Let w(n) be the third derivative of 0 + 1/90*n**5 - 1/36*n**4 - 4*n**2 - 2/9*n**3 + 0*n. Suppose w(r) = 0. What is r?
-1, 2
Let u(h) be the second derivative of -4/3*h**3 - 2/3*h**4 - 6*h + 0 - 1/10*h**5 + 0*h**2. Determine r, given that u(r) = 0.
-2, 0
Let m(p) be the third derivative of p**8/504 - 2*p**7/105 + 13*p**6/180 - 2*p**5/15 + p**4/9 - 6*p**2. Find i, given that m(i) = 0.
0, 1, 2
Suppose 11*y - 20*y = 0. What is b in 4/7*b**2 + y*b + 0 - 8/7*b**4 + 2/7*b**3 - 6/7*b**5 = 0?
-1, 0, 2/3
What is a in -2/15*a**2 - 4/15*a + 0 + 2/15*a**3 = 0?
-1, 0, 2
Let z(o) be the second derivative of o**5/5 - 5*o**4/3 - 26*o**3/3 - 14*o**2 - 12*o. Factor z(i).
4*(i - 7)*(i + 1)**2
Let w(t) be the second derivative of 5*t**7/28 + 2*t**6/5 - 3*t**5/10 - 5*t**4/4 - t**3/4 + 3*t**2/2 - 6*t. Determine h, given that w(h) = 0.
-1, 2/5, 1
Let v = -5 - -2. Let p be 1*(2 - 3 - v). Factor p*j + 1/2*j**4 + 2*j**3 + 3*j**2 + 1/2.
(j + 1)**4/2
Suppose 0 = 4*w + 2*u + 22, -7 = -w + 5*w + 5*u. Let c be 2/6*(-12)/w. Factor 1/2*l**2 + 0 + c*l.
l*(l + 1)/2
Let y(b) = -5*b**2 - 8*b - 4. Let g(z) be the second derivative of -z**4/12 - z**3/6 + 2*z. Suppose -3 = -2*r - 5. Let k(f) = r*y(f) + 4*g(f). Factor k(o).
(o + 2)**2
Let 3 + 10*i + 3*i + 21*i**3 + 4*i**4 + 6*i + 33*i**2 = 0. What is i?
-3, -1, -1/4
Let y(a) be the first derivative of 7*a**5/15 - 3*a**4/4 - 4*a**3/3 + 2*a**2/3 + 3. Factor y(l).
l*(l - 2)*(l + 1)*(7*l - 2)/3
Let g(y) = -3*y**2 - 2*y + 1. Let b(x) = -x**2 + 1. Let c(h) = 10*b(h) - 5*g(h). Determine t, given that c(t) = 0.
-1
Let h(p) be the first derivative of p**4 - 8*p**3/3 + 2*p**2 + 12. Find a, given that h(a) = 0.
0, 1
Let m(i) be the third derivative of -i**5/60 - i**4/12 + i**3/2 + 3*i**2. Factor m(b).
-(b - 1)*(b + 3)
Let z be (-11 - (-104)/10) + 7. Find v, given that -64/5 - z*v - 4/5*v**2 = 0.
-4
Solve 1/4 + 1/4*a - 1/4*a**2 - 1/4*a**3 = 0.
-1, 1
Let p(n) = 1 + 3*n - n**2 - 1 - 1 - 1. Let b be p(1). Determine r, given that 0*r**2 - 1/2*r**3 + b + 1/2*r = 0.
-1, 0, 1
Suppose -2*g + 52*g - 100 = 0. Find o, given that 2/5*o**g + 0 + 0*o = 0.
0
Factor m + 11*m**2 - 2*m + m - 6*m**3 - 4*m - 1.
-(m - 1)**2*(6*m + 1)
Let j(k) be the third derivative of -7*k**5/240 + 5*k**4/96 + k**3/12 + 10*k**2. Find l, given that j(l) = 0.
-2/7, 1
Let f be 5/(4 - (-68)/(-16)). Let m = f - -20. Factor -1/2*x**4 + 0*x**2 + m*x**3 + 0 + 0*x.
-x**4/2
Let d(p) be the first derivative of 1/4*p**4 + 0*p**2 + 1/3*p**3 + 0*p - 6. Factor d(r).
r**2*(r + 1)
Suppose p - 2*n = 13, 3*n = 4*p + 5 - 32. Determine t so that 2 - 5 + 3 + p*t - 2 - t**2 = 0.
1, 2
Factor 6*r**4 - 7*r - 3*r**4 + r - 3 + 13*r**3 - 7*r**3.
3*(r - 1)*(r + 1)**3
Let i be (-26)/(-22) + -1 