**3 + 3/2*a - 3/2*a**2.
(a - 1)**3/2
Let d(s) = -s + 19. Let k be d(17). Let 0 - 4/7*j - 2/7*j**k = 0. Calculate j.
-2, 0
Determine j, given that j - 2 + 4*j**2 + 10*j**2 - 13*j = 0.
-1/7, 1
Let y(o) = 5*o**2 - 3*o - 8. Let n(k) = -9*k**2 + 7*k + 16. Let z(q) = -3*n(q) - 5*y(q). Factor z(x).
2*(x - 4)*(x + 1)
Let z(w) be the first derivative of w**5/20 + w**4/8 - w**3 + w**2 + 4. Let a(i) be the second derivative of z(i). Factor a(l).
3*(l - 1)*(l + 2)
Suppose -4*a + 12 = -a. Let r(i) be the first derivative of 0*i**3 - 1 - 1/6*i**2 + 0*i + 1/12*i**a. Find f such that r(f) = 0.
-1, 0, 1
Let l be 1/1*6 + -3. Let u be (11 - 1) + -3 - l. Factor 3/4*n**2 + 7/4*n**u - 1/2*n + 0 + 3*n**3.
n*(n + 1)**2*(7*n - 2)/4
Factor 14/3*u**5 - 4/3*u**3 + 0*u + 0*u**2 + 0 - 10/3*u**4.
2*u**3*(u - 1)*(7*u + 2)/3
Let c(w) be the second derivative of 1/84*w**7 + 1/4*w**2 + 0 + 1/20*w**5 + 3*w - 1/20*w**6 + 1/12*w**4 - 1/4*w**3. Find d such that c(d) = 0.
-1, 1
Suppose 2*i = 6 + 10. Let w be (-2 + 8/10)*-5. Factor -2*y**3 - 4*y - i*y**2 + 2*y - w*y.
-2*y*(y + 2)**2
Let m(p) be the first derivative of 1/9*p**3 + 1/12*p**4 + 0*p**2 + 0*p - 2. Find c such that m(c) = 0.
-1, 0
Let l(u) be the third derivative of -u**6/30 - u**5/15 + 4*u**4/3 + 8*u**3 + 26*u**2. Factor l(q).
-4*(q - 3)*(q + 2)**2
Let l(v) = 6*v**3 - 9*v**2 + 6*v - 3. Let y(a) = -7*a + 6*a - a**3 + 2*a**3. Let h(m) = l(m) - 3*y(m). Factor h(i).
3*(i - 1)**3
Let p(g) be the first derivative of -2/7*g**2 - 2 + 1/7*g**4 + 2/3*g**3 - 2/5*g**5 + 0*g. Solve p(a) = 0 for a.
-1, 0, 2/7, 1
Factor -2/9*m**4 - 2/9 + 2/9*m + 4/9*m**2 + 2/9*m**5 - 4/9*m**3.
2*(m - 1)**3*(m + 1)**2/9
Let n(p) = 4*p**2 - 9*p. Let t(l) be the second derivative of -l**4/12 + l**3/2 + 4*l. Let i(j) = 2*n(j) + 7*t(j). Let i(f) = 0. What is f?
-3, 0
Let t(s) be the third derivative of -s**7/560 + 3*s**5/160 + s**4/32 + 4*s**2. Determine y, given that t(y) = 0.
-1, 0, 2
Let u(j) be the second derivative of -j**4/30 + 4*j**3/15 - 4*j**2/5 - j. Factor u(w).
-2*(w - 2)**2/5
Let a(b) be the third derivative of 7*b**6/120 + b**5/9 + b**4/18 - 16*b**2. Factor a(p).
p*(3*p + 2)*(7*p + 2)/3
Let m(j) be the second derivative of -j**5/40 + j**4/4 - 3*j**3/4 + j**2 + 3*j. Find i such that m(i) = 0.
1, 4
Find b, given that 4/7*b**3 + 0 + 10/7*b**2 - 12/7*b - 2/7*b**4 = 0.
-2, 0, 1, 3
Suppose 4*s = 18 - 2. Let f(l) = 7*l**4 + 2*l**3 + 7*l**2 + 4*l + 4. Let q(j) = -j**4 + j**3 - j**2 - j - 1. Let o(u) = s*q(u) + f(u). Let o(v) = 0. What is v?
-1, 0
Factor -6/5*a - 4/5 - 2/5*a**2.
-2*(a + 1)*(a + 2)/5
Let g be 2/(-14)*(-8 - -4). Let p(y) be the first derivative of -2*y**3 + 1 + g*y - 1/7*y**2. Find s such that p(s) = 0.
-1/3, 2/7
Let o be -2 - 4/(-3) - 14/(-3). Factor 2/7*s**3 + 2/7*s**5 + 0*s**2 + 4/7*s**o + 0*s + 0.
2*s**3*(s + 1)**2/7
Let h(j) = -21*j**3 - 13*j**2 - 3*j. Let k(n) = -10*n**3 - 6*n**2 - 2*n. Let o(i) = -6*h(i) + 11*k(i). Suppose o(q) = 0. What is q?
-1, 0, 1/4
Let l(o) be the third derivative of o**5/105 + o**4/42 + 8*o**2. Solve l(q) = 0.
-1, 0
Factor 0 + 1/4*s**2 + 1/2*s.
s*(s + 2)/4
Factor 2/15*t**3 + 8/5*t + 4/5*t**2 + 16/15.
2*(t + 2)**3/15
Factor 5 + 27*r**3 + 6*r + 78*r - 90*r**2 - 29.
3*(r - 2)*(3*r - 2)**2
Let c(y) = 4*y**2 + 2*y - 6. Let z(h) = -h**2 - h + 2. Suppose 4 = 2*l - 0. Let i(j) = l*c(j) + 7*z(j). Factor i(n).
(n - 2)*(n - 1)
Let h(p) be the first derivative of 4*p**3/3 - 4*p + 43. Factor h(j).
4*(j - 1)*(j + 1)
Let i be 9/(-6)*(-14)/105. Solve 0 + 1/5*x - i*x**2 = 0.
0, 1
Let d(u) be the first derivative of 3*u**3/5 - 7*u**2/10 - 2*u/5 + 4. Factor d(v).
(v - 1)*(9*v + 2)/5
Let a(h) be the first derivative of h**6/120 + h**5/15 + 5*h**4/24 + h**3/3 + h**2/2 + 2. Let y(m) be the second derivative of a(m). Factor y(p).
(p + 1)**2*(p + 2)
Let f = -390 + 1587/4. Determine z, given that -3/2*z**3 + f*z**4 + 0*z + 0*z**2 + 0 + 33/4*z**5 = 0.
-1, 0, 2/11
Let w(q) be the first derivative of q**5/6 + q**4/8 - 2*q**3/3 + q**2/3 + 5. Factor w(o).
o*(o - 1)*(o + 2)*(5*o - 2)/6
Let y(i) be the third derivative of 0 + 0*i - 1/12*i**4 - 1/120*i**5 - 1/3*i**3 - 2*i**2 + 1/360*i**6. Let m(w) be the first derivative of y(w). Solve m(t) = 0.
-1, 2
Find j, given that -1 - 3*j**3 - 3*j**2 + 12*j**3 + 16*j + 7 - 3*j**4 - 25*j = 0.
-1, 1, 2
Let d(k) be the first derivative of -2*k**6/3 + 4*k**5 + 14*k**4 + 8*k**3/3 - 26*k**2 - 28*k - 28. Factor d(f).
-4*(f - 7)*(f - 1)*(f + 1)**3
Let a = 5 - 3. Let t(u) = -u - 2*u**3 + 7*u**a - u - 5*u**2 + 2. Let y(c) = -c**4 - 2*c**3 + 3*c**2 - 3*c + 3. Let v(d) = 3*t(d) - 2*y(d). Factor v(h).
2*h**3*(h - 1)
Let o(s) be the first derivative of -7/10*s**4 - 2 + 7/15*s**6 - 4/25*s**5 + 0*s**2 + 0*s + 4/15*s**3. Let o(t) = 0. What is t?
-1, 0, 2/7, 1
Let n(g) be the second derivative of -2/21*g**7 + 0 + 5*g + 2*g**3 + 2*g**2 - 2/5*g**5 + 2/3*g**4 - 2/5*g**6. Find v such that n(v) = 0.
-1, 1
Let w(l) be the second derivative of l**5/30 + l**4/6 + 2*l**3/9 - 3*l. Solve w(j) = 0 for j.
-2, -1, 0
Find h such that 0*h**3 - 1/5*h**2 + 0 + 1/5*h**4 + 0*h = 0.
-1, 0, 1
Let o(t) = -t**2 - 10*t. Let u(k) = -15*k**2 - 159*k. Let v(g) = 33*o(g) - 2*u(g). Suppose v(d) = 0. What is d?
-4, 0
Let 0 - 1/6*a**4 - 1/6*a**3 + 1/6*a**2 + 1/6*a = 0. Calculate a.
-1, 0, 1
Let w(h) = 4*h**2 + 7*h + 7. Let q(n) = 3*n**2 + 6*n + 6. Suppose -7*g - 10 = -2*g. Suppose 0 = -z - z + 6. Let o(u) = g*w(u) + z*q(u). Factor o(y).
(y + 2)**2
Factor -124 - 2*p**3 + 0*p**2 + 116 + 6*p**2.
-2*(p - 2)**2*(p + 1)
Let l = -1 + 4/3. Let h(n) be the first derivative of n + 0*n**2 + 2 - l*n**3. Factor h(r).
-(r - 1)*(r + 1)
Let a(w) = -51*w**5 + 75*w**4 + 10*w**3 - 64*w**2 + 29*w + 1. Let d(k) = k**5 - k**2 + k - 1. Let i(t) = -a(t) - 6*d(t). Solve i(h) = 0.
-1, 1/3, 1
Let n(q) be the third derivative of q**5/15 + q**4 + 6*q**3 + 4*q**2. Factor n(x).
4*(x + 3)**2
Let n(y) be the third derivative of 0*y + 0 - 1/120*y**6 + 0*y**3 + 0*y**5 + 1/210*y**7 + 0*y**4 + 3*y**2. Factor n(b).
b**3*(b - 1)
Let p = -3/95 - -101/190. Find k such that -3/4*k**2 + p + 1/4*k - 1/4*k**3 + 1/4*k**4 = 0.
-1, 1, 2
Let r be ((-1)/5)/((-16)/(-7460)). Let y = r + 94. Factor -1/4 + y*c + 1/4*c**3 - 3/4*c**2.
(c - 1)**3/4
Factor -24 - 12*v - 3/2*v**2.
-3*(v + 4)**2/2
Let k(o) be the first derivative of -o**6/60 - o**5/10 - o**4/4 - o**3/3 + o**2 + 5. Let y(n) be the second derivative of k(n). Let y(c) = 0. Calculate c.
-1
Let s be (-34)/(-30) + (-26)/195. Let h = s - -2. Solve 2/3*w + 2/3*w**h - 4/3*w**2 + 0 = 0 for w.
0, 1
Let l(b) be the second derivative of -b**5/16 + 5*b**4/24 - 5*b**3/24 - 25*b. Factor l(a).
-5*a*(a - 1)**2/4
Let t(w) be the second derivative of w**6/12 + 7*w**5/40 - w**4/8 - 7*w**3/12 - w**2/2 - 5*w. Factor t(g).
(g - 1)*(g + 1)**2*(5*g + 2)/2
Let i be ((-12)/(-8))/((-2)/(-4)). Let a(m) be the second derivative of 2/3*m**4 + 3/10*m**5 - m + 0 + 1/3*m**i + 0*m**2. Factor a(s).
2*s*(s + 1)*(3*s + 1)
Let t be 1/6 - 95/30. Let c = t - -6. Find y, given that -y + 0*y**3 - 4*y**3 + 3*y**c - 2*y**2 = 0.
-1, 0
Suppose 0 = t - 16 + 13. Let d = -18 + 164/9. Factor 0 - 2/9*r + 4/9*r**2 - d*r**t.
-2*r*(r - 1)**2/9
Let y(s) be the second derivative of 0 + 1/90*s**5 - 1/18*s**4 + 5*s + 0*s**2 + 0*s**3. Let y(u) = 0. Calculate u.
0, 3
Let b be -1*(2 + (-4 - 0)). What is p in -1/2*p**5 + p**b - p**3 + 3/2*p + 1/2 - 3/2*p**4 = 0?
-1, 1
Let h(l) be the first derivative of -l**4/8 - 9*l**3/2 - 243*l**2/4 - 729*l/2 + 51. Factor h(v).
-(v + 9)**3/2
Let b = 6 - 8. Let x be -1*b*3/3. Let 2*g + 2*g**2 - x*g + 2*g - 2*g**3 - 2*g**4 = 0. Calculate g.
-1, 0, 1
Suppose 2*n - 8 = -2*n. Let i be 0/(-1 + 1 + n). What is f in i*f + 1/4*f**3 + 0 + 0*f**2 + 1/4*f**4 = 0?
-1, 0
Let a(r) be the first derivative of -2 - 2/3*r**3 + 0*r - r**2. Let a(d) = 0. Calculate d.
-1, 0
Let x = 9 - 4. Let -7*o + 2*o**3 + 4*o**4 + 3*o - 2*o**2 - x*o + 7*o**3 - 2 = 0. What is o?
-2, -1, -1/4, 1
Let u(v) = 7*v**4 - 2*v**3 - 16*v**2 + 28*v + 4. Let w(c) = -36*c**4 + 9*c**3 + 81*c**2 - 141*c - 21. Let h(j) = -21*u(j) - 4*w(j). Let h(b) = 0. What is b?
-2, 0, 2
Let x(z) be the first derivative of 3 + 2/21*z**3 + 0*z - 1/7*z**2. Suppose x(b) = 0. Calculate b.
0, 1
Determine k so that 0 - 10/3*k**4 + 5/6*k**5 - 10/3*k**2 + 5/6*k + 5*k**3 = 0.
0, 1
Let k = 615 - 613. What is s in 0 + 3/2*s**5 - 2*s**4 - 1/2*s 