+ 0 - 1/5*b**4 + 0*b.
-b**2*(b + 1)**2/5
Let o(m) be the first derivative of -3*m**4/28 + 13*m**3/21 + 11*m**2/14 - 5*m/7 + 15. Factor o(r).
-(r - 5)*(r + 1)*(3*r - 1)/7
Suppose 0 = 3*r + 3*d - d - 17, 0 = -3*r + d + 14. Let o(i) be the first derivative of -2 + 5*i**2 + 2*i**3 + 4*i - 2/5*i**r - 1/2*i**4. Solve o(x) = 0 for x.
-1, 2
Let r = -53179/2019 + 4/673. Let h = 27 + r. Suppose -2/3*v**2 + 1/3*v + h*v**4 - 1/3*v**5 + 0*v**3 + 0 = 0. What is v?
-1, 0, 1
Let t(g) be the second derivative of g**8/7560 - g**7/1260 + g**6/810 - g**3/3 - 2*g. Let k(a) be the second derivative of t(a). Factor k(j).
2*j**2*(j - 2)*(j - 1)/9
Factor 3*p**3 - 5*p - 2*p**2 - 4*p**2 + 8*p + 0*p.
3*p*(p - 1)**2
Let i be 2/6 - (-3)/45*1. Suppose 14/5*m**2 + 6/5*m**3 + 2*m + i = 0. Calculate m.
-1, -1/3
Let b be ((-9)/(-6))/((-27)/(-24)). Suppose 3*f + f - 8 = 0. Factor f*c - 2/3*c**2 - b.
-2*(c - 2)*(c - 1)/3
Let m(h) = 3*h**3 + 29*h**2 + 15*h - 11. Let x = -6 - 0. Let n(a) = a**3 + 10*a**2 + 5*a - 4. Let i(t) = x*m(t) + 17*n(t). Let i(w) = 0. What is w?
-2, -1
Let f = 61 + -61. Find w, given that -1/6*w**2 + 0*w + 0 + 8/3*w**4 + f*w**3 = 0.
-1/4, 0, 1/4
Let o(h) be the first derivative of -h**4/4 + 2*h**3/3 - h**2/2 - 7. Let o(z) = 0. Calculate z.
0, 1
Let m(j) = 0*j + 4*j - 2*j - 2*j**3 + 4*j**3. Let p(b) = 2*b**3 + b. Let n(x) = 3*m(x) - 4*p(x). Factor n(l).
-2*l*(l - 1)*(l + 1)
Let s(c) = 6*c**2 + 3*c + 3. Let p(w) = 17*w**2 + 8*w + 8. Let r(j) = 3*p(j) - 8*s(j). Suppose r(m) = 0. What is m?
0
Let w(b) be the second derivative of b**6/6 + b**5/4 - 5*b**4/12 - 5*b**3/6 - 9*b. Factor w(m).
5*m*(m - 1)*(m + 1)**2
Let r(m) be the third derivative of m**7/84 + m**6/90 - m**5/12 - m**4/6 + m**3/2 - 5*m**2. Let v(f) be the first derivative of r(f). Factor v(y).
2*(y - 1)*(y + 1)*(5*y + 2)
Let l(t) be the second derivative of t**5/50 + t**4/30 - t**3/15 - t**2/5 + 4*t. Factor l(y).
2*(y - 1)*(y + 1)**2/5
Solve 0 - 4/9*c**2 + 14/9*c**3 - 10/9*c**4 + 0*c = 0 for c.
0, 2/5, 1
Let u be 35/(-14) + 22/4. Suppose 3/2*h**2 + u*h**3 + 0 + 0*h = 0. Calculate h.
-1/2, 0
Let v(n) be the third derivative of -1/240*n**6 + 0*n + 0*n**3 - 1/12*n**4 - 1/30*n**5 + 6*n**2 + 0. Factor v(r).
-r*(r + 2)**2/2
Find a, given that 6 - 3*a + 8*a**4 - 5*a**4 + a**3 + 2*a**3 + 2*a**2 - 11*a**2 = 0.
-2, -1, 1
Let d = -4 - 2. Let n = d + 12. What is m in 12*m + m**3 + 8 + m**3 - m**3 + n*m**2 = 0?
-2
Let h(j) = -3*j + 105. Let w be h(34). Determine x so that -22/7*x**w - 10/7*x**4 + 2*x - 4/7 + 2*x**2 + 8/7*x**5 = 0.
-1, 1/4, 1, 2
Factor 1/4*m**2 + 1/2*m**3 + 0 + 1/4*m**4 + 0*m.
m**2*(m + 1)**2/4
Let j(x) be the second derivative of 3*x**5/20 + 3*x**4/4 - 6*x**2 + 2*x. Suppose j(t) = 0. What is t?
-2, 1
Let k(q) = -q**3 - 9*q**2 + 3. Let v be k(-9). Let l(a) = -a + 7. Let t be l(5). Factor 0*u**t + 4*u**2 + 2*u**v - 2*u**5 - 4*u**2.
-2*u**3*(u - 1)*(u + 1)
Let k(h) be the third derivative of -1/6*h**4 + 0*h + 1/30*h**5 + 4*h**2 - 1/35*h**7 + 1/15*h**6 + 0 + 0*h**3. Factor k(f).
-2*f*(f - 1)**2*(3*f + 2)
Let k be -6 + 3 - (-4)/(-4). Let c be 4*k/16*-3. Factor -10/3*a**4 + 2*a**5 - 8/9 - 10/9*a**c + 0*a + 10/3*a**2.
2*(a - 1)**3*(3*a + 2)**2/9
Find h, given that -5*h + 10*h**3 - 6*h**5 + h**5 + 0*h**5 = 0.
-1, 0, 1
Let n(r) = -r - 8. Let p be n(-10). Let j(t) be the first derivative of 0*t + 0*t**p + 2 + 1/9*t**3. Let j(c) = 0. What is c?
0
Let h(g) be the second derivative of -g**7/5040 - g**6/1440 + g**4/2 + 3*g. Let v(d) be the third derivative of h(d). Factor v(i).
-i*(i + 1)/2
Let k(g) be the third derivative of 6*g**2 + 0*g + 0*g**5 - 1/96*g**4 + 0 + 1/480*g**6 + 0*g**3. Factor k(h).
h*(h - 1)*(h + 1)/4
Let i(l) be the second derivative of -l**6/5 - l**5/4 + 7*l**4/36 + l**3/6 - l**2/6 + 6*l. Solve i(q) = 0 for q.
-1, -1/2, 1/3
Find g, given that -8/5*g + 4/5 + 1/5*g**2 + 3/5*g**3 = 0.
-2, 2/3, 1
Solve -3/7*q**4 + 0 + 0*q + 3/7*q**3 + 1/7*q**5 - 1/7*q**2 = 0 for q.
0, 1
Let v be (-16)/(-3) - 1/3. Suppose 3*n = -5*t - 0 + 31, v*n = -5*t + 35. Find p such that -p - p**n + 0*p + 1 - 2 - p = 0.
-1
Let w(q) be the first derivative of -q**8/504 + q**6/90 - q**4/36 + q**2 - 3. Let u(x) be the second derivative of w(x). Factor u(r).
-2*r*(r - 1)**2*(r + 1)**2/3
Let s be (3/(-3))/((-36)/4). Let d(w) be the third derivative of -1/24*w**4 + 2*w**2 + 0*w + 0 + 1/120*w**6 + 1/180*w**5 - s*w**3 + 1/630*w**7. Factor d(y).
(y - 1)*(y + 1)**2*(y + 2)/3
Let m(i) be the third derivative of 4*i**7/1575 + 11*i**6/900 + i**5/90 - i**4/90 + i**2. Solve m(x) = 0.
-2, -1, 0, 1/4
What is f in 3*f**2 + 2*f - 2 + 2*f + 0*f**2 - 5*f**2 = 0?
1
Let j(h) be the first derivative of -h**6/6 + 4*h**5/5 - 3*h**4/2 + 4*h**3/3 - h**2/2 + 11. Factor j(f).
-f*(f - 1)**4
Let y(z) = -2*z**3 + 8*z**2 - z + 4. Let w be y(4). Let -2/3 + 2/3*k**2 + w*k = 0. Calculate k.
-1, 1
Let c be (-7314)/189 + 1/7. Let z = c - -39. Let z*o + 2/3 - 2/9*o**2 = 0. Calculate o.
-1, 3
Let q be 1*-3*(-16)/(-12). Let z(u) = 2*u**2 + 6*u + 4. Let h(y) = y + 1. Let b(a) = q*h(a) + z(a). Determine w, given that b(w) = 0.
-1, 0
Suppose 5*p + 0*o - 5*o + 10 = 0, -p = 4*o - 18. Let a(w) be the second derivative of 49/50*w**5 + 0 - 8/5*w**3 - w - 4/5*w**p - 7/10*w**4. Factor a(d).
2*(d - 1)*(7*d + 2)**2/5
Let l = 8680 - 112742/13. Factor 56/13*k + l*k**2 + 8/13.
2*(7*k + 2)**2/13
Let j(g) be the first derivative of -g**4/8 + g**3/4 - g**2/8 - 6. Let j(v) = 0. Calculate v.
0, 1/2, 1
Let s(r) be the third derivative of r**8/3360 - r**7/140 + 3*r**6/40 - 9*r**5/20 + r**4/6 - r**2. Let k(t) be the second derivative of s(t). Factor k(m).
2*(m - 3)**3
Let a be (4 + 2)*(-3)/(-9). Let w(m) be the first derivative of -1/7*m**a + 2/21*m**3 + 0*m - 1. Factor w(p).
2*p*(p - 1)/7
Let q(z) be the second derivative of -z**7/3780 + z**6/540 - z**4/12 - z. Let p(r) be the third derivative of q(r). Solve p(j) = 0.
0, 2
Let h(n) be the first derivative of 4*n**3 + 9*n**2/2 - 3*n - 4. Factor h(g).
3*(g + 1)*(4*g - 1)
Let v = 176 + -174. Factor 1/3*t - 1/6 - 1/6*t**v.
-(t - 1)**2/6
Suppose 0*l + 0 + 0*l**2 - 1/9*l**5 + 1/9*l**3 + 0*l**4 = 0. What is l?
-1, 0, 1
Let i(j) be the third derivative of j**6/900 + j**5/150 + j**4/60 - 2*j**3/3 - 2*j**2. Let b(l) be the first derivative of i(l). Factor b(y).
2*(y + 1)**2/5
Let h be (-6)/20*10/(-12). Let g = 51 - 49. Factor 0 + 1/4*s**g - h*s.
s*(s - 1)/4
Let k(h) be the third derivative of -h**8/50400 + h**7/2100 - h**6/200 + h**5/15 - 2*h**2. Let t(q) be the third derivative of k(q). Let t(m) = 0. What is m?
3
Let f = -76/75 - -37/75. Let h = 2/25 - f. Determine u so that -9/5*u - h*u**2 - 6/5 = 0.
-2, -1
Let s = -4 + 11. Let a(j) = -10*j**4 - 8*j**3 + 6*j**2 - 4*j - 4. Let f(q) = -19*q**4 - 15*q**3 + 11*q**2 - 7*q - 7. Let u(l) = s*a(l) - 4*f(l). Factor u(c).
2*c**2*(c + 1)*(3*c - 1)
Let v(h) be the first derivative of h**5/50 - h**4/30 + 4*h + 5. Let f(q) be the first derivative of v(q). Factor f(c).
2*c**2*(c - 1)/5
Let r(h) be the third derivative of -h**8/336 - 11*h**7/210 - 23*h**6/60 - 3*h**5/2 - 27*h**4/8 - 9*h**3/2 + 7*h**2. Factor r(f).
-(f + 1)**2*(f + 3)**3
Let a(n) = n**3 - 4*n**2 + n. Let r be a(-4). Let b be -4 - (r/16 + 4). Suppose 1/4*y**3 + b*y + 1/2*y**2 + 0 = 0. Calculate y.
-1, 0
Let t(i) be the third derivative of i**5/20 + 9*i**4/8 + 4*i**3 + 45*i**2. Factor t(o).
3*(o + 1)*(o + 8)
Find l, given that 4*l - 4 + 510*l**2 - 502*l**2 + 3*l**4 + 4*l**5 - 8*l**3 - 7*l**4 = 0.
-1, 1
Let d(l) be the second derivative of 1/105*l**7 + 0*l**2 - 3*l - 1/75*l**6 + 0 + 1/30*l**4 - 1/50*l**5 + 0*l**3. Factor d(s).
2*s**2*(s - 1)**2*(s + 1)/5
Solve 3*f**5 + 18*f - 2 - f**5 + 32*f**2 + 28*f**3 + 0*f**4 + 12*f**4 + 6 = 0.
-2, -1
Suppose 38*z = 37*z - 3*f - 4, 2*z - f - 6 = 0. Find m such that -5/2*m + 1 - 1/2*m**3 + 2*m**z = 0.
1, 2
Let d be 4/14 + 208/56. Factor -3 + 2 - 4*b - 2*b**d + 3 + 4*b**3.
-2*(b - 1)**3*(b + 1)
Let q(c) be the first derivative of 1/16*c**4 + 0*c**3 + 3 + 0*c**2 + 0*c. Find b, given that q(b) = 0.
0
Let q(b) = -6*b**4 - 4*b**2 - 8*b + 2. Let h(z) = 7*z**4 + z**3 + 5*z**2 + 9*z - 2. Let n(i) = -4*h(i) - 5*q(i). Find f, given that n(f) = 0.
-1, 1
Let z be 85/3 - 10/30. Suppose 11*g**3 + 14*g**3 - 3*g**2 - z*g**3 = 0. What is g?
-1, 0
Let h(m) be the second derivative of -3*m**6/40 + m**5/20 + m**4/4 - m**2 - 2*m. 