 derivative of -3/2*x**2 + 5/24*x**4 - 13/12*x**3 + x + 0. Factor h(i).
(i - 3)*(5*i + 2)/2
Suppose 5*z = -4*o + o + 22, -2*z - 2*o = -8. Let j(h) = h**2 + 2*h. Let s be j(-2). Find v such that -2 + s + v**5 + 2*v**2 + 14*v**3 - 9*v**z - 6*v = 0.
-1, -1/2, 1
Let t be (6/(-4))/(18 - 24). Let i = -4 + 7. Find b such that t*b**i - 15/4*b**5 - 1/2*b**2 + 0*b + 0 + 4*b**4 = 0.
-1/3, 0, 2/5, 1
Let b be 2/(2 + -4)*-5. Let z(h) = -3*h**2 + 4 - 4 + 9 - 6*h. Let f(s) = 2*s**2 + 3*s - 5. Let w(t) = b*f(t) + 3*z(t). Factor w(v).
(v - 2)*(v - 1)
Let m(r) = 2*r**2 - 5*r + 3. Let k(s) = 3*s**2 - 6*s + 3. Let v(t) = 5*k(t) - 6*m(t). Factor v(w).
3*(w - 1)*(w + 1)
Let g be 6/(-48) - 6/(-16). Let m(q) be the first derivative of -q**3 - 3 - q**2 + 0*q - g*q**4. Determine p so that m(p) = 0.
-2, -1, 0
Let m(w) be the third derivative of -w**7/1470 + w**6/280 - w**5/210 - 3*w**2. Find u such that m(u) = 0.
0, 1, 2
Let y(p) = -21*p**3 + 45*p**2 - 19*p. Let k(d) = 10*d**3 - 22*d**2 + 10*d. Let t(c) = -13*k(c) - 6*y(c). What is v in t(v) = 0?
0, 2
Determine o, given that -20/7*o**2 + 32/7*o - 16/7 + 4/7*o**3 = 0.
1, 2
Factor 24/5*o**2 + 16/5*o + 4/5*o**4 + 4/5 + 16/5*o**3.
4*(o + 1)**4/5
Let x be 6 - (6 + (-1 - 2)). Factor 2*g**3 - 6*g**2 - 5*g**3 + 0*g**2 - x*g.
-3*g*(g + 1)**2
Let v(a) be the first derivative of -2 + 1/2*a**3 + 3/2*a**2 + 3/2*a. Factor v(h).
3*(h + 1)**2/2
Factor -2*s**3 + 1/2 + 9/2*s**2 - 3*s.
-(s - 1)**2*(4*s - 1)/2
Let g(v) = 2*v**4 - v**3 - 5*v - 2. Let y(b) = b**4 - b**3 - b - 1. Let a = -17 + 14. Let j(u) = a*y(u) + g(u). Factor j(h).
-(h - 1)**3*(h + 1)
Suppose -v**3 - 2*v**3 - 6 - 3*v**2 - 6*v**2 + 15*v + 0*v**3 + 3*v**4 = 0. Calculate v.
-2, 1
What is z in 2/13*z**2 + 32/13 - 16/13*z = 0?
4
Let i(r) = -5*r**2 + 2*r + 6. Let j(a) be the second derivative of a**4/3 - a**3/3 - 5*a**2/2 + 3*a. Let y(k) = 5*i(k) + 6*j(k). Suppose y(u) = 0. What is u?
-2, 0
Let j(m) be the third derivative of m**9/272160 - m**8/30240 + m**6/810 - m**5/60 - m**2. Let n(z) be the third derivative of j(z). Factor n(a).
2*(a - 2)**2*(a + 1)/9
Let p(x) be the first derivative of -4*x**3/3 + 12*x**2 + 12. Factor p(h).
-4*h*(h - 6)
Let y(f) = -8*f**3 + 2*f**2 - 34*f + 34. Suppose 0 = t - 2*q, -t = -4*q + 5 - 3. Let z(h) = -h**3 - h**2 - h + 1. Let o(b) = t*y(b) - 14*z(b). Solve o(l) = 0.
3
Factor 0 - 294/17*t**3 - 2/17*t**5 + 686/17*t**2 + 0*t + 42/17*t**4.
-2*t**2*(t - 7)**3/17
Let m be -3*1/((-3)/6). Suppose h + 2*h = m. Factor -7*a + 2*a - 14*a**h + a.
-2*a*(7*a + 2)
Suppose 0 = -5*b - 10*b + 12*b. Factor 1/3*g**3 + 1/3*g + b + 2/3*g**2.
g*(g + 1)**2/3
Let o(k) be the second derivative of 4*k - 2/21*k**4 + 0 - 2/147*k**7 - 2/35*k**5 - 2/7*k**2 + 2/35*k**6 + 2/7*k**3. What is q in o(q) = 0?
-1, 1
Let a = 11 + -8. Suppose 3*c + a*g = 3 + 12, c - 9 = -3*g. Determine o so that 2*o + 4 - 2*o**3 - o**4 - 3 + 0*o**c = 0.
-1, 1
Suppose h - c = 3*c + 18, 0 = -c - 3. Factor 3*q**4 + 0*q**3 + 2*q**5 + 5*q**4 - 2*q**2 - h*q**4 - 2*q**3.
2*q**2*(q - 1)*(q + 1)**2
Let r = -8 - -1. Let c = -4 - r. Solve -1/2*f**4 + 0*f + 0 + 0*f**c + 1/2*f**2 = 0.
-1, 0, 1
Let n(z) be the first derivative of 1/2*z**2 + 0*z**6 + 1/525*z**7 + 0*z + 0*z**5 + 0*z**3 - 2 + 0*z**4. Let x(b) be the second derivative of n(b). Factor x(y).
2*y**4/5
Let a(m) = m - 3. Let c be a(9). Suppose -4*g = g - 10. Determine w so that -37*w**g + 8*w**3 - c + 32*w - 10 - w**4 + 13*w**2 = 0.
2
Let t(x) = -x**2 + x - 1. Let r(g) = 5*g**3 + 24*g**2 + g - 1. Let b(p) = -r(p) + t(p). Find y, given that b(y) = 0.
-5, 0
Factor 5*q**3 + 16 - 15*q - 6 + 1 - 1.
5*(q - 1)**2*(q + 2)
Let g(b) be the third derivative of 0*b - 2*b**2 + 0 + 0*b**3 + 1/3*b**4 + 1/15*b**5. Factor g(c).
4*c*(c + 2)
Let w(d) be the third derivative of -d**8/40320 + d**7/2520 - d**6/360 - d**5/10 - d**2. Let f(j) be the third derivative of w(j). Factor f(p).
-(p - 2)**2/2
Suppose -5*v + 75 = -0*v. Factor -v*t**4 + 0 + 2*t**3 - t - t - 4 + 6*t**2 + 13*t**4.
-2*(t - 2)*(t - 1)*(t + 1)**2
Let u(z) be the second derivative of 5/12*z**3 + 0 + 1/40*z**5 + 1/2*z**2 + 2*z + 1/6*z**4. Factor u(d).
(d + 1)**2*(d + 2)/2
Suppose r = 4*r - 12. Factor 3*n**4 - 9*n**4 + 3*n**5 + 27*n**r - 9*n**4 + 15*n**3 + 6*n**2.
3*n**2*(n + 1)**2*(n + 2)
Suppose -2/7*i**2 - 8/7*i - 6/7 = 0. Calculate i.
-3, -1
Let f(l) = -3*l**3 - 2*l**2 + l. Let p be f(1). Let s be p/10 - (-84)/135. Factor 4/9*d - s - 2/9*d**2.
-2*(d - 1)**2/9
Let x(a) = 2*a**4 - 3*a**3 - a**2 + 21*a - 13. Let o(j) = -10*j**4 + 16*j**3 + 6*j**2 - 106*j + 66. Let t(z) = -6*o(z) - 28*x(z). Factor t(s).
4*(s - 2)**2*(s - 1)*(s + 2)
Let z(w) be the third derivative of 1/60*w**6 + 0*w + 2*w**2 + 3/40*w**5 + 0 + 1/12*w**3 + 1/8*w**4. Factor z(y).
(y + 1)**2*(4*y + 1)/2
Let v(f) = f**2 - 9*f - 1. Let g be v(9). Let j = g - -2. Determine p, given that -p**5 + 5*p - 4*p**3 + j + 3*p**2 - 3*p**2 + 1 - 4*p**4 + 2*p**2 = 0.
-2, -1, 1
Let w(j) = j**2 + 1. Let b(a) = 7*a**2 + 6. Suppose 0 = -3*u + 2 + 1. Let m(t) = u*b(t) - 6*w(t). Determine z so that m(z) = 0.
0
Let y = 4/19 - -41/76. Let -3/4*a + 3/2 - 3/2*a**2 + y*a**3 = 0. Calculate a.
-1, 1, 2
Let t(r) be the third derivative of r**5/180 + r**4/24 - 2*r**3/9 + 33*r**2. Factor t(p).
(p - 1)*(p + 4)/3
Let o be ((-45)/12)/(6/16). Let s be 42/45 - o/25. Factor 1/3*j**2 - s*j**3 - 1/3 + 4/3*j.
-(j - 1)*(j + 1)*(4*j - 1)/3
Let n(h) be the first derivative of -h**4/4 - 5*h**3/3 - 4*h**2 - 4*h - 2. Let n(k) = 0. Calculate k.
-2, -1
Let k(d) be the first derivative of 0*d**3 - d + 0*d**4 + 1/40*d**5 + 0*d**2 + 1. Let i(u) be the first derivative of k(u). Find o, given that i(o) = 0.
0
Let d = -1288/3 + 434. What is a in -12*a**3 - d*a**2 - 2/3*a + 0 - 40/3*a**4 - 16/3*a**5 = 0?
-1, -1/2, 0
Let x = 127/3 - 1185/28. Let t(h) be the third derivative of x*h**4 + 1/210*h**5 - h**2 + 0*h + 0*h**3 + 0. Factor t(i).
2*i*(i + 1)/7
Let u(p) be the second derivative of p**5/160 + p**4/96 + 15*p. Let u(w) = 0. What is w?
-1, 0
Let k be 1/(-9)*16/(-2). Let f(j) be the second derivative of -k*j**3 - j + 2/3*j**2 + 0 + 7/36*j**4. Factor f(n).
(n - 2)*(7*n - 2)/3
Let s = 12 + -35/3. Let g = -4 - -7. Find b such that 0 + 0*b + s*b**g + 1/3*b**2 = 0.
-1, 0
Let l(j) be the first derivative of j**6/6 - 7*j**5/20 + j**4/8 + j**3/12 + 5. Factor l(t).
t**2*(t - 1)**2*(4*t + 1)/4
Let p be (2 - 0) + 0 + -16. Let q be (-2 - p/6)/1. Factor q*j**4 - 1/3*j**3 - 1/3*j**2 + 0 + 1/3*j.
j*(j - 1)**2*(j + 1)/3
Let m = -2 + 17. Suppose 0 = 10*v - 5*v - m. Factor 1/2*n**v + 0 + 0*n - 1/2*n**2.
n**2*(n - 1)/2
Let u(k) be the first derivative of k**5/20 - k**3/4 + k**2/4 - 19. Factor u(z).
z*(z - 1)**2*(z + 2)/4
Factor 1/4*r**2 + 1/4 - 1/2*r.
(r - 1)**2/4
Factor 62 + 2*q**2 - 58 - q**2 - 4*q.
(q - 2)**2
Suppose 2/9*i**5 + 2/9*i - 4/9*i**3 - 2/9*i**4 - 2/9 + 4/9*i**2 = 0. What is i?
-1, 1
Determine u, given that 0*u**2 - 269*u**2 + 69*u**4 - 875*u**3 - 314*u**4 - 171*u**2 - 60*u = 0.
-3, -2/7, 0
Let h(o) = -5*o**4 + 7*o**3 - 6*o**2 + 2. Let s(t) = 66*t**4 - 90*t**3 + 78*t**2 - 27. Let i(x) = 27*h(x) + 2*s(x). Suppose i(a) = 0. What is a?
0, 1, 2
Let 0 + 6/7*t**2 + 3/7*t + 3/7*t**3 = 0. Calculate t.
-1, 0
Let g(j) be the second derivative of -j**7/4200 + j**6/360 - j**5/75 + j**4/30 - j**3/2 - 7*j. Let v(s) be the second derivative of g(s). Factor v(m).
-(m - 2)**2*(m - 1)/5
What is o in 2/3*o**2 - 2/3 + 0*o = 0?
-1, 1
Let c(u) be the third derivative of u**5/60 + 3*u**4/8 - 5*u**3/3 - 6*u**2 - 1. What is h in c(h) = 0?
-10, 1
Let 2/7*k**2 + 12/7 + 10/7*k = 0. What is k?
-3, -2
Let s(o) = -o - 1. Let h(l) = l**3 + 3*l**2 + 4*l + 2. Let c(n) = -n + 1. Let i be c(2). Let d(m) = i*h(m) - s(m). Let d(f) = 0. Calculate f.
-1
Let g(v) = -v**2 - 6*v + 4. Let t be g(-6). Let -12 + t*j**2 - 5*j**2 - 6 - j**2 - 12*j = 0. What is j?
-3
Factor 1/6*z**3 + 1/3*z**2 + 2/3 - 7/6*z.
(z - 1)**2*(z + 4)/6
Let a(s) = s**3 - 6*s**2 + 6*s - 1. Let f be a(5). Let o = 352 + -350. Factor -1/4*z**f + 0*z + 1/2*z**o - 1/4 + 0*z**3.
-(z - 1)**2*(z + 1)**2/4
Factor -18 - 13*a + 7*a**2 - 9*a**2 + a.
-2*(a + 3)**2
Let m(x) = x**2 + x + 1. Let l(g) = -30*g - 5. Let c(f) = l(f) + 5*m(f). Solve c(r) = 0.
0, 5
Let u = 2 - 0. Let a = u - -1. Factor -3*f**a + 3*f**4 - 5*f**4 + f**3.
-2*f**3*(f + 1)
Let f be 6*4*8/(-12). Let u = 16 + f. Suppose 2/3*a**3 +