- 2*s**4 + 6*s**3 + 2*s. Factor i(w).
4*w*(w - 3)**2
Suppose 10*p**3 - 3*p**2 + 18*p**4 - 24*p**4 - 2*p + p**2 = 0. Calculate p.
-1/3, 0, 1
Let r be -11 - (-4 - -1) - 1. Let b be (r/(-9))/((-2)/(-6)). Factor -1/5*i**b - 3/5*i + 3/5*i**2 + 1/5.
-(i - 1)**3/5
Let p(s) = 7*s**3 + 11*s**2 - 5*s - 8. Let t be (10/(-8))/(4/16). Let v(a) = -11*a**3 - 17*a**2 + 8*a + 12. Let b(f) = t*v(f) - 8*p(f). Let b(c) = 0. What is c?
-2, 1
Let y(g) be the first derivative of -g**4/6 + g**3/3 + 2*g**2 - 2*g + 1. Let f(n) be the first derivative of y(n). Factor f(o).
-2*(o - 2)*(o + 1)
Suppose 60/11*s**2 - 50/11*s**3 - 18/11*s + 0 = 0. What is s?
0, 3/5
Factor 1/3*b**2 - 1/6*b**4 - 1/6 - 1/6*b + 1/3*b**3 - 1/6*b**5.
-(b - 1)**2*(b + 1)**3/6
Let n(j) be the second derivative of -3*j**5/5 + 32*j**4/3 - 94*j**3/3 + 36*j**2 - 2*j - 12. Factor n(b).
-4*(b - 9)*(b - 1)*(3*b - 2)
Let g(x) be the second derivative of x**5/90 + x**4/18 - x**3/27 - x**2/3 - x - 23. Suppose g(o) = 0. What is o?
-3, -1, 1
Let p = 55 - 53. Determine o so that 2/3*o**p - 4*o + 6 = 0.
3
Suppose -59*c = -48*c. Solve -4/5*f + 0*f**3 + c + 2/5*f**4 - 6/5*f**2 = 0.
-1, 0, 2
Let w be 4*(-1 + 3)/4. Suppose -c + c + 6*c**4 + 5*c**w + 6*c**3 + 2*c**5 - 3*c**2 = 0. What is c?
-1, 0
Let v(g) be the first derivative of -g**6/2 - 48*g**5/25 - 51*g**4/20 - 6*g**3/5 - 8. Suppose v(u) = 0. Calculate u.
-6/5, -1, 0
Let k(m) be the third derivative of 3*m**8/224 - 13*m**7/140 + 19*m**6/80 - 11*m**5/40 + m**4/8 + 15*m**2. Let k(o) = 0. Calculate o.
0, 1/3, 1, 2
Let t(a) be the first derivative of a**4 - 8*a**3/3 + 2*a**2 - 12. Factor t(j).
4*j*(j - 1)**2
Let r(o) be the first derivative of 5*o**6/4 - 12*o**5/5 - 3*o**4/2 + 5*o**3 - 3*o**2/4 - 3*o + 39. Let r(y) = 0. What is y?
-1, -2/5, 1
What is j in 9/7*j**4 + 0*j + 0 + 3/7*j**3 - 6/7*j**2 = 0?
-1, 0, 2/3
Let j be (-28)/(-6) + (-11)/(-33). Let a(g) be the second derivative of -1/21*g**3 + 0*g**2 - 1/70*g**j + 1/21*g**4 - 2*g + 0. Suppose a(t) = 0. Calculate t.
0, 1
Suppose 2*a - 6 = 2. Suppose -a*x - 3*f = -17, 8*f = 4*x + 3*f + 7. Suppose 4*o**4 + 5*o - 7*o + 0*o**4 + 2*o**3 - 2*o**4 - 2*o**x = 0. Calculate o.
-1, 0, 1
Solve -18*v**4 - 19*v**2 - 26*v**3 - 3*v**5 - 17*v**2 - 13*v**3 - 12*v = 0 for v.
-2, -1, 0
Suppose 13 = 4*w + 5. Let -35*j**5 - 16*j - 80*j**w - 48*j**3 - 8 + 8 + 116*j**4 = 0. What is j?
-2/5, -2/7, 0, 2
Let c = -769/3 + 257. Factor 1/3*z**2 - c + 1/3*z.
(z - 1)*(z + 2)/3
Let n = 2 + -5. Let m(k) = -8 - k**2 - k**3 - k + 8. Let t(z) = 4*z**3 + 4*z**2 + 2*z - 1. Let s(r) = n*m(r) - t(r). Find j, given that s(j) = 0.
-1, 1
Let y be 143/6 - 4/(-6). Let c = y + -24. Factor 1/2*u**2 - u + c.
(u - 1)**2/2
Let q(b) = b**4 - 5*b**3 - 10*b**2 + 4*b + 4. Let z(m) = 6*m**4 - 36*m**3 - 69*m**2 + 27*m + 27. Let d(h) = -27*q(h) + 4*z(h). Determine c, given that d(c) = 0.
-2, -1, 0
Let d(t) be the first derivative of t**6/60 - t**5/10 + 5*t**4/24 - t**3/6 + t - 3. Let g(x) be the first derivative of d(x). Factor g(o).
o*(o - 2)*(o - 1)**2/2
Let y(q) be the first derivative of q**6/16 + q**5/4 + 3*q**4/8 + q**3/4 + q**2/16 + 32. Factor y(u).
u*(u + 1)**3*(3*u + 1)/8
Suppose i = -2 + 6. Suppose -q + 20 = i*q. Determine r, given that 18*r**2 - 2 + q - 8*r**3 - 10*r - 2*r = 0.
1/4, 1
Let c = -16675/3 + 5480. Let r = 79 + c. Determine g so that -r*g + 0 + 0*g**2 + 2/3*g**3 = 0.
-1, 0, 1
Let y(m) be the second derivative of -m**6/180 - m**5/30 - m**4/12 - m**3/3 + 2*m. Let s(d) be the second derivative of y(d). Factor s(h).
-2*(h + 1)**2
Let j(n) = n**3 + 2*n**2 - n. Let x be 1/(10/(-4) - -2). Let g be j(x). Suppose -2 - g - q**2 + 7 - 2 = 0. What is q?
-1, 1
Let a(h) be the first derivative of h**4/2 - 7*h**3/3 + 2*h**2 - 3*h - 1. Let z(v) be the first derivative of a(v). Factor z(o).
2*(o - 2)*(3*o - 1)
Let w(x) be the second derivative of -x**5/40 - x**4/3 - 7*x**3/12 + 16*x. Find r, given that w(r) = 0.
-7, -1, 0
Let b(d) be the first derivative of d**7/210 + d**6/90 - 2*d**3 + 1. Let z(t) be the third derivative of b(t). Find p such that z(p) = 0.
-1, 0
Suppose -4*b + 10 = -b - 4*j, 3*j = -4*b + 5. Find k, given that -2/9*k**3 + 0*k**b + 2/9*k + 0 = 0.
-1, 0, 1
Let s be -2 + 0 + 1 + 6. Determine n, given that 0*n**3 - n**5 + 2*n**s + n**5 - 2*n**3 = 0.
-1, 0, 1
Let f(p) be the second derivative of 0 - 4*p - 1/6*p**4 + 0*p**2 + 3/20*p**5 + 1/12*p**3 - 1/15*p**6 + 1/84*p**7. Suppose f(q) = 0. What is q?
0, 1
Let m(u) = 48*u**3 + 26*u**2 - 23*u + 3. Let p(i) = -480*i**3 - 261*i**2 + 231*i - 30. Let z(o) = -21*m(o) - 2*p(o). Determine g so that z(g) = 0.
-1, 1/4
Let y(r) = -5*r**5 + 30*r**4 - 60*r**3 + 34*r**2. Let k(g) = -5*g**5 + 30*g**4 - 60*g**3 + 33*g**2. Let w(u) = -6*k(u) + 7*y(u). Let w(m) = 0. What is m?
0, 2
Let c(t) = -3*t + 20. Let k be c(5). Let j(u) be the first derivative of 0*u - 3 + 6*u**4 - 8/3*u**3 - 2*u**k + 0*u**2. What is r in j(r) = 0?
0, 2/5, 2
Let l(h) be the first derivative of h**4 + 8*h**3 + 24*h**2 + 32*h - 18. Factor l(d).
4*(d + 2)**3
Let u(h) = 5*h**2 + 2*h + 3. Suppose -2*b + 5*b = -2*s - 2, 0 = -5*b - 2*s + 2. Let x(o) = o**3 - 1. Let g(r) = b*u(r) + 6*x(r). Factor g(d).
2*d*(d + 1)*(3*d + 2)
Let o(x) = x**2 - 9*x - 9. Let q be o(10). Let s be (2/(-8)*0)/q. Let s - 1/2*m**4 + 0*m**3 + 0*m**2 + 0*m + 1/2*m**5 = 0. Calculate m.
0, 1
Let r be (-35)/(-14)*(-4)/(-5). Suppose -9*b**2 + 6*b**3 + 3*b**r - 3*b**5 + 17 + 19 - 33 + 3*b**4 - 3*b = 0. Calculate b.
-1, 1
Let q(r) be the third derivative of -1/15*r**5 + 1/168*r**8 + 0 + 0*r - 1/30*r**6 + 1/12*r**4 - 3*r**2 + 1/105*r**7 + 1/3*r**3. Solve q(i) = 0.
-1, 1
Let t(y) be the second derivative of -1/14*y**4 + 3/7*y**2 + 0 - 3/14*y**3 - 2*y. Factor t(a).
-3*(a + 2)*(2*a - 1)/7
Factor -3/2*k**3 + 0*k**2 + 9/2*k - 3.
-3*(k - 1)**2*(k + 2)/2
Factor 2 - 2*s**2 - 1/2*s**3 + 1/2*s.
-(s - 1)*(s + 1)*(s + 4)/2
Let x(l) be the second derivative of -l**6/5 + 3*l**5/20 + 9*l**4/8 + 11*l**3/8 + 3*l**2/4 - 15*l. Factor x(b).
-3*(b - 2)*(2*b + 1)**3/4
Factor 4*u**3 - 104*u**2 + 55*u**2 - 4*u - 4 + 53*u**2.
4*(u - 1)*(u + 1)**2
Suppose -4/3*u**3 + 4/3*u**2 - 4/3*u**4 + 4/3*u + 0 = 0. What is u?
-1, 0, 1
Let h = -28 - -30. Let t(v) be the first derivative of 4/3*v + 1/9*v**3 + 2/3*v**h - 1. Suppose t(x) = 0. Calculate x.
-2
Let n = 2437/3065 - -3/613. Factor -n - 2/5*f**3 - 2*f - 8/5*f**2.
-2*(f + 1)**2*(f + 2)/5
Let d = -112 + 114. Let z(f) be the first derivative of -2*f**3 + 1/2*f**6 + 9/5*f**5 + 3/2*f**4 - 9/2*f**d - 3 - 3*f. Factor z(j).
3*(j - 1)*(j + 1)**4
Let m = -10 + -6. Let a = m + 18. Factor 2/7*i**a + 0*i + 0.
2*i**2/7
Let b(a) be the first derivative of a**4/12 + a**3/2 + 4*a - 3. Let m(c) be the first derivative of b(c). Determine h, given that m(h) = 0.
-3, 0
Let x = -12 + 14. Factor 5*j**x - 45*j**3 + 49*j**3 - 4*j - j**2 - 4.
4*(j - 1)*(j + 1)**2
Let z be ((-104)/65)/(-3*(-2)/(-10)). Determine s so that 2/3*s**2 + 8/3*s + z = 0.
-2
Let w = -3 - -6. Factor -m + 2*m**w + 3*m - 2*m - m**2.
m**2*(2*m - 1)
Let y(d) be the second derivative of -11*d**4/30 - 23*d**3/15 - 12*d**2/5 - 2*d + 5. Factor y(m).
-2*(m + 1)*(11*m + 12)/5
Let k = 9 - 4. Let o(h) be the first derivative of -8/5*h**k + h**2 - 8/3*h**3 + 1/3*h**6 + 3*h**4 + 0*h + 1. Solve o(n) = 0 for n.
0, 1
Let n(z) be the first derivative of -4*z**5/25 - 3*z**4/10 - 2*z**3/15 + 4. Solve n(o) = 0.
-1, -1/2, 0
Let l be ((4 + -1 + -3)/(-3))/(-1). Determine g so that -4/9*g + 10/9*g**2 + l - 8/9*g**3 + 2/9*g**4 = 0.
0, 1, 2
Let q(v) be the first derivative of 4/7*v**2 - 1 + 12/35*v**5 + 13/14*v**4 + 1/21*v**6 + 8/7*v**3 + 0*v. Factor q(f).
2*f*(f + 1)**2*(f + 2)**2/7
Let x(j) = -j**4 - j**3 + 8*j**2 - 6*j - 6. Let i(w) = -w**2 + w + 1. Let k(c) = -6*i(c) - x(c). Let k(v) = 0. Calculate v.
-2, 0, 1
Let f(a) be the second derivative of a**9/6048 - a**7/840 + a**5/240 - a**3/2 - a. Let u(w) be the second derivative of f(w). Factor u(k).
k*(k - 1)**2*(k + 1)**2/2
Let h(g) = -2 + 4 - 5 - g. Let m be h(-6). Let l**2 - 4 + l**m + 4 = 0. What is l?
-1, 0
What is r in -2/7*r + 0 - 6/7*r**2 - 4/7*r**3 = 0?
-1, -1/2, 0
Let v be (1 + (-1)/(-5))*1. Let y(l) be the second derivative of 0 + v*l**3 + 2*l - 27/20*l**4 - 2/5*l**2. Factor y(x).
-(9*x - 2)**2/5
Let k be 2*4/8*27. Let y = 27 - k. Determine r, given that -1/3 + 1/3*r**2 + y*r = 0.
-1, 1
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