 + u*z, 3*q - z = 4. Factor -1/2 - 1/2*v + 1/2*v**q + 1/2*v**3.
(v - 1)*(v + 1)**2/2
Let s(b) be the first derivative of 324*b**5/25 - 171*b**4/10 - 38*b**3/15 + 24*b**2/5 + 8*b/5 - 38. Determine k, given that s(k) = 0.
-2/9, 1/2, 1
Let n(h) = 4 - 2 - 3 + h**4 + 5*h**2 - 6*h**2. Let t(z) = 4*z**4 - 2*z**3 - 4*z**2 + 2*z - 6. Let o(i) = 6*n(i) - t(i). Determine y, given that o(y) = 0.
-1, 0, 1
Determine q, given that 2/9*q**4 - 4/9*q + 0 - 2/9*q**2 + 4/9*q**3 = 0.
-2, -1, 0, 1
Factor 18/7 + 3/7*f - 3/7*f**2.
-3*(f - 3)*(f + 2)/7
Let t(r) be the third derivative of r**6/1440 - r**5/480 - r**4/48 + r**3/6 + 8*r**2. Let g(a) be the first derivative of t(a). Let g(p) = 0. What is p?
-1, 2
Let w = 9 - 16. Let h be 3/18 - w/6. Suppose -h*i + 2/3*i**2 + 2/3 = 0. Calculate i.
1
Let s(d) = -d**2 + 9*d + 13. Let p be s(10). Let v(a) = a - 1. Let t be v(p). Determine y, given that -5*y**2 + 0*y**t + y**3 + 4*y**2 + 2*y**2 = 0.
-1, 0
Let k(b) = -b**2 - b + 1. Let p(w) be the third derivative of -w**5/30 - 11*w**4/24 + 19*w**3/6 - 4*w**2. Let t(y) = 3*k(y) - p(y). Find a such that t(a) = 0.
4
Factor 1/7*r**2 + 2/7 + 3/7*r.
(r + 1)*(r + 2)/7
Let m(y) be the second derivative of y**4/4 - y**3 - 12*y. Factor m(a).
3*a*(a - 2)
Let x(q) be the third derivative of -q**8/560 + q**7/175 + q**6/100 - 2*q**5/25 + 7*q**4/40 - q**3/5 - 2*q**2. Solve x(v) = 0 for v.
-2, 1
Let a(z) = -z**2 + 6*z + 5. Let l be a(6). Suppose 6 = t + 4. Solve -c**t + l*c**2 - 3*c**2 - c = 0.
0, 1
Let c(g) = g**2 - g. Let r be c(2). Suppose 2*t - 2 + 34*t**r - 4*t**3 + 2*t**3 - 32*t**2 = 0. What is t?
-1, 1
Let f = 1289/5 + -256. Factor -6/5 + f*r - 3/5*r**2.
-3*(r - 2)*(r - 1)/5
Let u(s) be the second derivative of -1/5*s**3 + 1/10*s**4 + 0 + 1/5*s**2 - 4*s - 1/50*s**5. Factor u(f).
-2*(f - 1)**3/5
Solve -z**2 + 0*z**3 + 5*z**2 + z**3 + 4*z = 0.
-2, 0
Solve -1/10*m**4 + 2/5*m - 1/2*m**3 - 3/5*m**2 + 4/5 = 0.
-2, 1
Let k be 0 + (-2)/8 + (-266)/(-168). Solve 0*x - 4/3*x**3 + k*x**2 + 0 + 1/3*x**4 = 0 for x.
0, 2
Let b(i) be the second derivative of -1/36*i**4 + 0 - 1/3*i**2 - 1/6*i**3 - 2*i. Suppose b(k) = 0. Calculate k.
-2, -1
Factor 50*k**2 - 29*k + 232 - 252 - 295*k**2 - 111*k.
-5*(7*k + 2)**2
Let d(l) be the second derivative of -l**4/12 - 5*l**3/6 + 3*l**2 - l. Let q be d(-6). Determine z so that q - 1/3*z**4 + 0*z - 2/3*z**3 - 1/3*z**2 = 0.
-1, 0
Let z(j) be the third derivative of j**7/42 + j**6/8 + j**5/4 + 5*j**4/24 + 4*j**2. Find r such that z(r) = 0.
-1, 0
Suppose 109 = 32*g + 13. Factor -3/2*l**2 + g - 3/2*l.
-3*(l - 1)*(l + 2)/2
Let i = -944101/9 + 104495. Let g = i + 406. Find a, given that 2/9*a**4 + g*a**3 + 4/3*a**2 + 2/9 + 8/9*a = 0.
-1
Let x(u) be the second derivative of -u**4/60 + u**3/10 - u**2/5 - 16*u. Find z, given that x(z) = 0.
1, 2
Let w(v) = -v**3 - 7*v**2 - 3*v - 3. Let x be w(-7). Determine i, given that -x*i**3 + 18*i**2 + 2/3 - 6*i = 0.
1/3
Let s(q) be the second derivative of q**4/4 + q**3/2 - 3*q**2 - 15*q. Factor s(w).
3*(w - 1)*(w + 2)
Let y be 0 + -1 - (-8)/2. Let v be (0 + (1 - 2))*-5. Factor -8*q**3 - 3*q**4 + 0*q**y + 9*q**v + q**2 + 3*q**2.
q**2*(q + 1)*(3*q - 2)**2
Factor 3/2*x - 1/2*x**4 + 0 - 3/2*x**3 + 1/2*x**2.
-x*(x - 1)*(x + 1)*(x + 3)/2
Let q(b) be the second derivative of b**4/54 - 4*b**3/27 + b**2/3 - 2*b. Factor q(n).
2*(n - 3)*(n - 1)/9
Let p = 3 + -3. Suppose k + 0*k - 8 = p. Find i such that 0*i - k*i + 14*i**3 + 2 - 4*i**2 + 2*i**4 - 8*i**5 + 2*i**3 = 0.
-1, 1/4, 1
Let a = -3 - 1. Let m be 4 + a/(1*-2). Factor m*d**5 + 4 + 74*d**3 + 34*d**4 + 78*d**2 - 9*d + 34*d + 4 + 15*d.
2*(d + 1)**3*(d + 2)*(3*d + 2)
Factor 0*f - 2/15*f**3 + 2/15*f**2 + 0.
-2*f**2*(f - 1)/15
Let k be 53/(-4) + (-1)/2. Let r = k + 279/20. What is p in -4/5*p - 4/5 - r*p**2 = 0?
-2
Solve 4*t**5 - 5*t**4 - t + 0*t + 3*t**3 + 3*t**2 - 2*t**5 - 2*t**2 = 0.
-1/2, 0, 1
Solve 0*p + 0*p**2 + 1/3*p**3 + 1/6*p**4 + 0 = 0 for p.
-2, 0
Let t(w) be the third derivative of -3*w**2 + 0 - 1/840*w**7 + 1/672*w**8 + 1/240*w**5 + 0*w - 1/160*w**6 + 1/96*w**4 + 0*w**3. Solve t(y) = 0.
-1, -1/2, 0, 1
Suppose 1/2*q + 0 + 5/4*q**4 - 5/4*q**2 - 1/2*q**3 = 0. Calculate q.
-1, 0, 2/5, 1
Let n be 4/(-88)*-4 - 0. Let m = -383/11 + 35. Let n*i + 0 + 2/11*i**2 - 2/11*i**3 - m*i**4 = 0. What is i?
-1, 0, 1
Solve 2/3*v**5 + 0 + 2/3*v**3 + 2*v**2 - 4/3*v - 2*v**4 = 0.
-1, 0, 1, 2
Determine d, given that 3/2*d**4 + 9/2*d**2 + 3/2*d + 9/2*d**3 + 0 = 0.
-1, 0
Let w(p) be the third derivative of 0*p - 1/105*p**7 + 1/105*p**5 + 0 + 1/84*p**6 + 0*p**3 + 0*p**4 - p**2. Factor w(f).
-2*f**2*(f - 1)*(7*f + 2)/7
Let s(t) be the second derivative of t**5/5 + t**4/3 - 6*t. Factor s(r).
4*r**2*(r + 1)
Find f such that 3/4*f**3 + 0*f - 3/2*f**2 + 0 = 0.
0, 2
Let s(r) be the first derivative of -5*r**6/12 - 11*r**5/10 + 7*r**4/5 - 2*r**3/5 + 2. Factor s(q).
-q**2*(q + 3)*(5*q - 2)**2/10
Let m(j) be the first derivative of -j**3/4 - 3*j**2/8 + 3*j/2 - 6. Solve m(x) = 0 for x.
-2, 1
Let v be (-1 + -1)*(-3)/2. Factor z + 0*z**3 + 2*z**4 - 3*z + v*z**2 - 5*z**2 + 2*z**3.
2*z*(z - 1)*(z + 1)**2
Let b(i) be the third derivative of i**6/240 - i**4/16 + i**3/6 - 17*i**2. Factor b(r).
(r - 1)**2*(r + 2)/2
Let i(m) be the second derivative of 9*m**5/20 + 5*m**4/2 + m**3/2 - 9*m**2 - 26*m. Let i(v) = 0. What is v?
-3, -1, 2/3
Suppose 3*a = -0*a + 4*q + 4, -3*q = -3*a + 6. Suppose a*w + o = 6 + 2, 0 = -2*o. Suppose p + 1/2*p**w + 1/2 = 0. What is p?
-1
Suppose 2*o - 12 = 4*d, 0 = -3*o + 2*d + 15 + 19. Determine v so that 5*v**5 - v - 2*v + 2*v**5 - 4*v**3 + 12*v**4 + 2 - o*v**2 = 0.
-1, 2/7, 1
Let f(r) = -4*r**2 + r. Let q be f(-1). Let b = q - -7. Find x such that -2*x**b + 4*x**2 + 3*x - x - 4*x = 0.
0, 1
Suppose 2*g = -g + 12. Factor a**2 - 1 + 0*a**3 - 3*a**3 - 4*a**2 + g + 3*a.
-3*(a - 1)*(a + 1)**2
Suppose 3*c - 2*g = 0, 3*c + 5 = -g + 14. Suppose u = -5*z + 11 + c, 0 = -5*z + 5*u - 5. Factor 2/13 + 0*l**z - 2/13*l**4 + 4/13*l - 4/13*l**3.
-2*(l - 1)*(l + 1)**3/13
Let i = 7/4 - 13/12. Factor 4*l**2 - 4/3*l + i*l**4 - 3*l**3 + 0.
l*(l - 2)**2*(2*l - 1)/3
Let z(m) be the first derivative of -5 + 1/18*m**3 + 0*m + 0*m**2. Solve z(r) = 0.
0
Let g(j) be the third derivative of -1/105*j**5 + 4*j**2 + 0*j + 0*j**3 + 1/420*j**6 + 0 + 0*j**4. Factor g(n).
2*n**2*(n - 2)/7
Let m(s) be the first derivative of s**7/5880 - s**6/1260 + s**5/840 - 5*s**3/3 + 3. Let b(d) be the third derivative of m(d). Solve b(p) = 0 for p.
0, 1
Let b(c) = c**3 + 3*c**2 + c - 2. Let d = -11 + 9. Let o be b(d). Solve o*u**3 + 1/2 + 0*u - u**2 + 1/2*u**4 = 0 for u.
-1, 1
Let g(f) be the third derivative of f**7/42 + f**6/24 - f**5/12 - 5*f**4/24 - 3*f**2 - 1. Determine o so that g(o) = 0.
-1, 0, 1
Suppose 26 = -31*d + 88. Find i, given that 4/7 - 2/7*i**3 + 8/7*i**d - 10/7*i = 0.
1, 2
Let w(y) be the third derivative of -y**6/80 - y**5/40 + y**4/8 - 6*y**2. Factor w(q).
-3*q*(q - 1)*(q + 2)/2
Let j(u) be the first derivative of -u**7/1680 - u**6/360 - u**5/240 - u**3/3 - 2. Let z(m) be the third derivative of j(m). Factor z(c).
-c*(c + 1)**2/2
Factor -74*p**2 - 20*p + 0 + 0 - 5*p**3 + 54*p**2.
-5*p*(p + 2)**2
Let v(b) = -b**2 + b. Let k(x) = -x**2 - x + 2. Let z(a) = 2*k(a) + 2*v(a). Let z(m) = 0. What is m?
-1, 1
Let a be (12/(-135)*-3)/(20/30). Suppose 3*r - 2*r - 2 = 0. Factor 0*t + 0 - 2/5*t**r + 2/5*t**5 - 2/5*t**3 + a*t**4.
2*t**2*(t - 1)*(t + 1)**2/5
Let l = -14 - -15. Let m(f) be the first derivative of -l + 0*f - 2/9*f**2 + 2/27*f**3 + 1/6*f**4. Let m(n) = 0. Calculate n.
-1, 0, 2/3
Factor 4/5*l + 3/5 + 1/5*l**2.
(l + 1)*(l + 3)/5
Let n(j) be the third derivative of -j**8/84 - 2*j**7/105 + j**6/15 + 2*j**5/15 - j**4/6 - 2*j**3/3 - 16*j**2. Factor n(d).
-4*(d - 1)**2*(d + 1)**3
Factor h**4 - 1 - 9*h**3 - 3*h**2 - 2 + 4*h**4 + h**4 + 9*h.
3*(h - 1)**2*(h + 1)*(2*h - 1)
Let q(f) be the second derivative of -f**9/2520 - f**8/840 - f**7/1260 - f**4/3 - 5*f. Let h(l) be the third derivative of q(l). Let h(w) = 0. What is w?
-1, -1/3, 0
Let y be -1 + 0 + 0/7. Let u be y*1 - (-5 - -5). Let b(g) = 2*g**3 - 4*g**2 - 10*g - 12. Let q(f) = -f**3 - f**2 - 1. Let v(o) = u*b(o) + 8*q(o). Factor v(z).
-2*(z - 1)*(z + 1)*(5*z + 2)
Let q(r) = 9*r**3 + 9*r**2 - 3*r - 3. Let b(k) = 8*k**3 + 8*k**2 - 3*k - 3. Let o(m) = 6*b(m) - 5*q(m). What is t in o(t) = 0