).
2*v*(5*v + 2)/15
Find k such that -2*k**2 - 3 + 6 + 6*k - 3 = 0.
0, 3
Suppose 0*m - 14 = m + 4*t, 0 = m - 3*t - 14. Let y(w) be the third derivative of -1/15*w**5 + 1/12*w**4 + 0 + 1/60*w**6 + w**m + 0*w**3 + 0*w. Factor y(u).
2*u*(u - 1)**2
Let o(y) be the first derivative of -y**7/84 + y**6/60 + y**5/20 - y**4/12 - y**3/12 + y**2/4 - 2*y + 3. Let g(k) be the first derivative of o(k). Factor g(s).
-(s - 1)**3*(s + 1)**2/2
Let v(a) = a**3 - 7*a**2 - 9*a + 12. Suppose i - 3 = 5. Let f be v(i). Determine q, given that 3/4*q**f - 1/2*q**2 - 1/2*q**3 - 1/4 + 3/4*q - 1/4*q**5 = 0.
-1, 1
Let r(d) = -2*d**2 + d + 1. Let w(l) be the third derivative of -l**5/20 + l**4/8 + l**3/2 - 4*l**2. Let a(o) = 5*r(o) - 3*w(o). Factor a(h).
-(h + 2)**2
Let k be 349/(-2 + (-3)/6). Let h = 140 + k. Determine x so that 0 - 6/5*x**3 + 2/5*x**4 - h*x + 6/5*x**2 = 0.
0, 1
Let u(t) = t + 5. Let c be u(-3). Let x be (c + 15/(-3))*-1. Solve x*n**2 + 4 + 6*n + 1/2*n**3 = 0.
-2
Find c such that -25*c - 70 - 39*c + 19*c - 21*c**2 + 16*c**2 = 0.
-7, -2
Let k = -10 - -12. Let -4/3*t**3 - k*t**2 + 2/3 + 0*t = 0. Calculate t.
-1, 1/2
Let i(r) be the third derivative of 2*r**7/105 + r**6/30 - r**5/15 - r**4/6 + 12*r**2. Factor i(c).
4*c*(c - 1)*(c + 1)**2
Let z(r) be the second derivative of -r**4/9 + 4*r**3/9 - 10*r. Solve z(d) = 0 for d.
0, 2
Let p(c) be the second derivative of 9*c**7/14 + 3*c**6 + 33*c**5/10 - 2*c**4 - 7*c**3/2 + 3*c**2 - 9*c. Determine f so that p(f) = 0.
-2, -1, 1/3
Let c(x) = 2*x**2 + 8*x - 10. Let m(b) = -3*b**2 - 7*b + 10. Let f(j) = -2*c(j) - 3*m(j). Determine u, given that f(u) = 0.
-2, 1
Suppose 5*w + 9 = -2*q, 4*q + 8*w + 3 = 3*w. Let n(z) be the third derivative of -7/20*z**5 + 0*z + 0*z**4 - 1/12*z**6 + 3*z**2 + 2/3*z**q + 0. Factor n(u).
-(u + 2)*(2*u + 1)*(5*u - 2)
Let l be 4*(-2)/(-4)*1. Factor -13*s**3 + 13*s**3 - 2*s**5 + l*s**4.
-2*s**4*(s - 1)
Let z(q) be the third derivative of 0*q - 1/80*q**5 + 0 + 1/96*q**4 + 2*q**2 + 1/160*q**6 - 1/840*q**7 + 0*q**3. Determine x, given that z(x) = 0.
0, 1
Let d(h) = 2 - 7*h - h**4 - h**4 + 5*h - 2*h**2 + 2*h**3. Let g(i) = -10*i**4 + 9*i**3 - 11*i**2 - 9*i + 10. Let v(y) = 11*d(y) - 2*g(y). Factor v(q).
-2*(q - 1)**3*(q + 1)
What is k in 4*k**4 - 2*k**4 - k**3 - k**3 + 8*k - 4*k**3 = 0?
-1, 0, 2
Let y be ((-2)/(-12)*2)/((-5)/(-30)). Find t, given that -t**4 + 0*t**y + 1/2*t**5 + 0*t + 1/2*t**3 + 0 = 0.
0, 1
Factor -2/7*z**2 + 2/7 - 2/7*z + 2/7*z**3.
2*(z - 1)**2*(z + 1)/7
Let j(t) be the first derivative of t**7/315 + t**6/90 - t**4/18 - t**3/9 - t**2/2 + 1. Let u(k) be the second derivative of j(k). Factor u(m).
2*(m - 1)*(m + 1)**3/3
Let x be (0 + 3)/(3 - 4). Let p be (-2 + 3)*(-6)/x. Let 0 + s**p - 1/2*s**3 - 1/2*s = 0. What is s?
0, 1
Suppose -3 + 9 = 2*w. Let o be w/(((-30)/4)/(-5)). Factor -4 + 3 + g**2 + o*g**3 - 3*g**3 + g.
-(g - 1)**2*(g + 1)
Let p(m) = m**2. Let g(t) = -t**4 + 3*t**3 + 10*t**2 - 3*t - 4. Let f(u) = 2*g(u) - 10*p(u). Find h, given that f(h) = 0.
-1, 1, 4
Let i(l) be the third derivative of l**5/330 + l**4/66 + 5*l**2. Factor i(c).
2*c*(c + 2)/11
Suppose 30 + 54 = -7*g. Let u be (-7)/(63/g) - 1. Suppose 2/3*n**2 - u*n**3 + 0 - 1/3*n = 0. Calculate n.
0, 1
Suppose 0 = -s - 0*s. Let a be (3/(-2))/(42/(-8)). Factor -2/7*v**3 + 0 + 2/7*v**2 + a*v**5 - 2/7*v**4 + s*v.
2*v**2*(v - 1)**2*(v + 1)/7
Suppose 2*j**3 + 16/5 - 4/5*j**2 - 8*j = 0. What is j?
-2, 2/5, 2
Let h(t) be the third derivative of -t**9/4032 + t**8/1120 + 3*t**7/560 - t**6/120 + t**5/20 + 8*t**2. Let z(v) be the third derivative of h(v). Factor z(j).
-3*(j - 2)*(j + 1)*(5*j - 1)
Factor -3*o**2 - 793 + 793.
-3*o**2
Let i(u) be the first derivative of -u**6/90 - 2*u**3/3 + 5. Let n(y) be the third derivative of i(y). What is o in n(o) = 0?
0
Factor -9/8*s**2 - 3/4 + 15/8*s.
-3*(s - 1)*(3*s - 2)/8
Let p(q) = -5*q**2 - q + 6. Let g(h) = -h**2 + 1. Let d(f) = -6*g(f) + p(f). Let d(m) = 0. Calculate m.
0, 1
Let w be (-21)/112*2/(-3). Let u(f) be the third derivative of 3*f**2 + 0 - 1/20*f**5 - 1/120*f**6 + 0*f - w*f**4 - 1/6*f**3. Find x such that u(x) = 0.
-1
Let 4*h**2 + 2*h + 3*h**3 + 9*h**4 - 2*h**5 - 3*h**3 - 13*h**4 = 0. What is h?
-1, 0, 1
Let s(m) = -3*m**2 - 30*m + 13. Let g(u) = -u**2 - 15*u + 6. Let z(w) = -13*g(w) + 6*s(w). Factor z(f).
-5*f*(f - 3)
Let i be (-2)/(-26)*-2 - 198/(-273). Suppose 0*l**4 - i*l**2 + 2/7*l**5 + 6/7*l + 4/7 - 8/7*l**3 = 0. What is l?
-1, 1, 2
Let h(r) be the second derivative of -r**5/40 - r**4/8 - r**3/6 - 15*r. Find t such that h(t) = 0.
-2, -1, 0
Let l(a) be the first derivative of -1/2*a**4 - 2 + 0*a + 0*a**2 + 2/3*a**3. Factor l(d).
-2*d**2*(d - 1)
Suppose -7 = -n - 3. Factor n - 4 + 2*v**3 + 4*v**2.
2*v**2*(v + 2)
Let x(a) be the third derivative of 0*a**4 + 0*a + 1/525*a**7 + 1/150*a**5 + 0 + 0*a**3 - 1/150*a**6 - a**2. Factor x(s).
2*s**2*(s - 1)**2/5
Let d(x) be the third derivative of 8*x**5/135 - 2*x**4/27 + x**3/27 - 5*x**2. Let d(j) = 0. What is j?
1/4
Let i(n) be the third derivative of n**5/75 - n**4/15 - 2*n**3/5 - 16*n**2. Factor i(r).
4*(r - 3)*(r + 1)/5
Let g(u) = 1 + 3*u + 2 + u - 15*u**2 + 12*u**2. Let a(j) = -6*j**2 + 7*j + 6. Let m(d) = 4*a(d) - 7*g(d). Factor m(v).
-3*(v - 1)*(v + 1)
Let b(j) = j**2 + 9*j - 8. Let s be b(-10). Factor -7 - s*u**2 + 6*u - 1 + 8 - 4.
-2*(u - 2)*(u - 1)
Let s be 5*((-9)/(-15) - 0). Factor 7*o**2 - 3*o**4 + 5*o**2 - s*o**2 + 6*o.
-3*o*(o - 2)*(o + 1)**2
Let n(k) = k**2 - 1. Let f(m) = -8*m**2 - 46*m + 18. Let r(c) = -2*f(c) - 4*n(c). Find v, given that r(v) = 0.
-8, 1/3
Suppose 4*f = -s + 245, 0 = 3*f - 2*s + 3*s - 184. Suppose -4*h**3 + 61 - 4*h**4 - f = 0. Calculate h.
-1, 0
Let b(a) = -a**4 - a**3. Let s = -8 + 11. Let f(w) = w**3 + w**2. Let m(x) = s*b(x) - 3*f(x). Factor m(d).
-3*d**2*(d + 1)**2
Let f(a) = -a**2 + 7*a - 5. Let l be f(5). Find o, given that 3 + 15*o**3 + 10*o - 5 - 20*o**2 + l*o**3 + 2*o**5 - 10*o**4 = 0.
1
Let b(w) = 2*w**2 - w - 5. Let c(t) = 3*t**2 - t - 9. Let j = 10 + -3. Let r(p) = j*b(p) - 4*c(p). Determine l, given that r(l) = 0.
1/2, 1
Suppose s + 1 = d - 2*s, 5*d - 16 = 4*s. Suppose w = d - 1. Factor -1/5*h**2 + 0 + 0*h - 1/5*h**w.
-h**2*(h + 1)/5
Suppose -f + 1 + 2 = 0. Let u(y) be the second derivative of -2*y + 0*y**2 + 0 + 0*y**f + 1/30*y**4. Factor u(t).
2*t**2/5
Let o(d) = -1. Let s(l) = -l**2 - 4*l - 12. Let h(w) = -24*o(w) + 3*s(w). Find x such that h(x) = 0.
-2
Let r(d) = 2*d - 9. Let y be r(6). Let z = 129 + -257/2. Find x, given that 1/2*x**y + 0 + z*x**2 - 1/2*x**4 - 1/2*x = 0.
-1, 0, 1
Let z = 13 + -13. Let n = z - -2. Let 2/3*t - 2/3*t**4 + 2*t**3 - 2*t**n + 0 = 0. What is t?
0, 1
Let t(d) = -23*d**3 + 85*d**2 - 203*d - 11. Let j(v) = 8*v**3 - 28*v**2 + 68*v + 4. Let u(n) = 11*j(n) + 4*t(n). Determine g so that u(g) = 0.
0, 4
Let g(u) be the third derivative of -3/10*u**6 + 0*u + 2/15*u**5 + 3/2*u**4 - 4/3*u**3 - 5*u**2 + 0. Suppose g(k) = 0. Calculate k.
-1, 2/9, 1
Let g(x) be the first derivative of x**5/6 + x**4/12 - 5*x**3/6 - 4*x**2/3 - 2*x/3 + 40. Factor g(h).
(h - 2)*(h + 1)**2*(5*h + 2)/6
Let p(b) be the first derivative of 0*b + 1/16*b**4 - 1/20*b**5 + 2 - 1/8*b**2 + 1/12*b**3. Factor p(t).
-t*(t - 1)**2*(t + 1)/4
Let t(u) be the third derivative of -u**6/108 + u**5/90 + u**4/54 + 35*u**2. Factor t(a).
-2*a*(a - 1)*(5*a + 2)/9
Let v be 1 - (5 - (2 - 0)). Let f be (1 - (3 + 0))*v. Factor -f*d + 4 + d - d + d**2.
(d - 2)**2
Let p(i) be the second derivative of -9*i + 0*i**2 + 2/3*i**3 + 0 - 1/6*i**4 - 1/10*i**5. Let p(g) = 0. Calculate g.
-2, 0, 1
Solve 0 + 2/3*z + 2/3*z**3 - 4/3*z**2 = 0.
0, 1
Suppose 9 = 2*o - 2*x + 3*x, 2*x + 3 = 3*o. Suppose 4*j**o + 6*j**3 - 9*j**3 = 0. Calculate j.
0
Let w(y) = -y**2 - 3*y + 12. Let r be w(-5). Let 0 + 0*m + 2/5*m**3 + 1/5*m**4 + 1/5*m**r = 0. Calculate m.
-1, 0
Let i(z) = -2*z + 6. Let q be i(0). Factor -q*l + l**3 - 36*l**2 - 16*l**4 + 43*l**3 + 10*l + 4.
-4*(l - 1)**3*(4*l + 1)
Factor 2/7*l**3 + 0*l**2 - 6/7*l - 4/7.
2*(l - 2)*(l + 1)**2/7
Let f be -82*4/(80/(-6)). Let r = 409/15 - f. Factor 2*j**2 + 2/3*j**3 - r + 0*j.
2*(j - 1)*(j + 2)**2/3
Let s(n) be the third derivative of -n**7/210 + n**6/40 - n**5/20 + n**4/24 - 2*n**2 - 3. Factor s(y).
-y*(y - 1)**3
Let r = -4/35 - -2/5. Determine o, given that 2/7*o - 2/7*o**4 + 0 + r*o**2 - 