he first derivative of 0*q - 2 + 1/16*q**4 + 1/20*q**5 - 1/8*q**2 - 1/12*q**3. Find d such that o(d) = 0.
-1, 0, 1
Find b such that 0*b**2 + 2/7 + 3/7*b - 1/7*b**3 = 0.
-1, 2
Find w, given that -10*w**3 + 9*w**3 + 3*w**2 - 3*w + 4*w**3 - 3 = 0.
-1, 1
Suppose -4/3*q**2 + 2*q**3 + 16/3 - 8*q = 0. Calculate q.
-2, 2/3, 2
Let w(o) be the first derivative of -o**3/24 + o**2/4 + 4. Factor w(h).
-h*(h - 4)/8
Factor -4*w + 7/2 + 1/2*w**2.
(w - 7)*(w - 1)/2
Let d(j) = -j**2 + 6*j + 3. Let v be d(6). Factor v*u + 1 - u**4 - 6*u + u + 2*u**3.
-(u - 1)**3*(u + 1)
Let k be (-76)/(-32) - (4 + -2). Let h = k - -1/8. Suppose -1/2*x**3 + 0*x - h*x**2 + 0 = 0. What is x?
-1, 0
Let i(a) = -a**2 + 1. Let l(u) = -2*u**2 + 2. Suppose 0 = y - 1 - 2. Let v(c) = y*l(c) - 8*i(c). Determine g, given that v(g) = 0.
-1, 1
Suppose 4*h - 8 = 3*h + 5*g, -5*h = -4*g - 40. Suppose 4*f = -6*a + a + h, a = 5*f - 10. Find i, given that 0*i + 0*i**3 - 2/5*i**4 + 2/5*i**f + 0 = 0.
-1, 0, 1
Suppose -3*a + 0*r + 3 = -3*r, -2*a + 10 = 2*r. Let v(m) be the second derivative of m - 1/9*m**a + 0 + 0*m**2 - 1/36*m**4. Solve v(c) = 0.
-2, 0
Let -3*v - 27*v**2 - 15*v**2 + 9*v + 99*v**3 - 9*v**2 = 0. Calculate v.
0, 2/11, 1/3
Suppose 5*o = 2*w + o - 14, 3*o + 23 = 4*w. Solve -1 - 2*j**3 + 2*j**2 - j**4 + 2*j**3 - j**w - j - 2*j**3 + 4*j**3 = 0.
-1, 1
Suppose 2*r + 2*v + v = 4, 3*v - 9 = -3*r. What is t in -3*t - t + r*t**2 - 3*t**2 + 2 = 0?
1
Find j, given that 4*j**4 + 8*j - 4 - 25*j**2 + 25*j**2 - 8*j**3 = 0.
-1, 1
Let w(y) be the third derivative of y**8/20160 - y**7/3780 + y**6/2160 + 5*y**4/24 - 7*y**2. Let s(t) be the second derivative of w(t). Solve s(h) = 0 for h.
0, 1
Let k(z) be the third derivative of -1/15*z**3 + 0*z + 1/300*z**5 + 1/120*z**4 - 2*z**2 + 0. Factor k(x).
(x - 1)*(x + 2)/5
Let i(k) be the third derivative of -1/280*k**6 - 1/210*k**5 + 0*k - 1/1470*k**7 + 6*k**2 + 0*k**3 + 0 + 0*k**4. Factor i(m).
-m**2*(m + 1)*(m + 2)/7
Find w such that -5*w**4 + 2*w**3 + 0*w**4 + 4*w**4 = 0.
0, 2
Let t(f) be the first derivative of -f**5/40 + f**3/8 + f**2/8 - 25. Factor t(r).
-r*(r - 2)*(r + 1)**2/8
Suppose 2*t - 4*f + 0*f + 16 = 0, -5*f + 20 = 3*t. Factor k**2 - 1 + t*k**2 + 0*k**2.
(k - 1)*(k + 1)
Suppose -14 = 817*h - 824*h. Factor 1/3*t**h + 0 - 1/3*t.
t*(t - 1)/3
Let j(w) be the third derivative of -w**5/12 - 55*w**4/12 - 605*w**3/6 + 40*w**2. Factor j(p).
-5*(p + 11)**2
Let a(j) be the third derivative of 1/140*j**6 + 0*j**3 + 0*j - 6*j**2 + 0 + 1/105*j**5 + 0*j**4 + 1/735*j**7. Factor a(t).
2*t**2*(t + 1)*(t + 2)/7
Let w(c) be the second derivative of 0*c**2 + 1/15*c**3 - 6*c - 7/60*c**4 + 0 - 1/25*c**5. Factor w(q).
-q*(q + 2)*(4*q - 1)/5
Suppose 0*w - 4/5 + 1/5*w**2 = 0. What is w?
-2, 2
Let d(z) be the third derivative of -z**6/60 - z**5/30 + z**4/12 + z**3/3 + 3*z**2. Factor d(a).
-2*(a - 1)*(a + 1)**2
Let c = -36 - -39. Find j, given that 1/4*j**5 + 1/4*j**4 + 0*j - 1/4*j**c + 0 - 1/4*j**2 = 0.
-1, 0, 1
Let u(z) be the second derivative of -3*z**5/40 - z**4/8 + z**3 + 3*z**2 - 17*z. Factor u(t).
-3*(t - 2)*(t + 1)*(t + 2)/2
Suppose -10 = c + 3*t, t + 2 + 8 = 3*c. Let w be c/(-8) + 52/16. Determine s so that 2*s**4 + 2*s**w + s**4 - 2*s**4 - 4*s**2 + 5*s**2 = 0.
-1, 0
Let n(r) = 7*r**3 - 8*r**2 - 52*r + 8. Let i(y) = -2*y**3 + 3*y**2 + 17*y - 3. Let j(u) = 8*i(u) + 3*n(u). Determine v so that j(v) = 0.
-2, 0, 2
Let g be 18/(-687) + 0/(-5). Let u = 1766/2519 - g. Factor 8/11*r - u - 2/11*r**2.
-2*(r - 2)**2/11
Let w(o) be the first derivative of o**6/3 - 16*o**5/5 + 12*o**4 - 68*o**3/3 + 23*o**2 - 12*o - 64. Factor w(i).
2*(i - 3)*(i - 2)*(i - 1)**3
Let k = 7 - 5. Let g(b) be the third derivative of 0 + 4/105*b**6 + 0*b + 2*b**k + 4/105*b**5 + 1/84*b**4 + 0*b**3. Factor g(w).
2*w*(4*w + 1)**2/7
Suppose 2*r - 6*r = -3*c + 29, c + 2 = -r. Suppose -g - c = -2*g. Factor 2*b**g - 2*b**5 - b + b.
-2*b**3*(b - 1)*(b + 1)
Let j(i) = i**4 - i**3 - i. Let c(q) = -28*q**4 - 8*q**3 - 12*q**2 + 20*q. Let f(d) = c(d) + 20*j(d). Factor f(k).
-4*k**2*(k + 3)*(2*k + 1)
Solve -8/15*r + 2/15*r**2 + 0 = 0.
0, 4
Let u = -119 + 479/4. Factor u*x**3 - 3/4*x**5 + 3/4*x**2 + 0*x + 0 - 3/4*x**4.
-3*x**2*(x - 1)*(x + 1)**2/4
Let h(v) be the first derivative of v**6/2 + 6*v**5/5 - 3*v**4/2 - 4*v**3 + 3*v**2/2 + 6*v - 8. Find t, given that h(t) = 0.
-2, -1, 1
Let y(z) be the first derivative of -z**5/80 - z**4/16 - z**3/8 - z**2/8 - 2*z + 3. Let h(u) be the first derivative of y(u). Factor h(m).
-(m + 1)**3/4
Let n(f) be the first derivative of -2*f**6/3 + 16*f**5/5 - 6*f**4 + 16*f**3/3 - 2*f**2 - 11. Solve n(x) = 0 for x.
0, 1
Let o(p) be the third derivative of -p**5/270 - 7*p**4/108 + 8*p**3/27 + 8*p**2. Factor o(j).
-2*(j - 1)*(j + 8)/9
Solve -9*u**2 + 13*u**2 - 12*u - 19*u**2 - 3*u**3 = 0 for u.
-4, -1, 0
Let o(t) be the third derivative of t**5/390 + 14*t**2. Factor o(r).
2*r**2/13
Let c(y) = y**3 + 7*y**2 + 5. Let q be c(-7). Let t(k) be the first derivative of 2/21*k**3 + 0*k**4 - 2/35*k**q + 1 + 0*k + 0*k**2. Let t(s) = 0. Calculate s.
-1, 0, 1
Let h(x) be the third derivative of 0*x + 0 - 1/156*x**4 + 4*x**2 - 1/39*x**3 + 1/390*x**6 - 1/2184*x**8 - 1/1365*x**7 + 1/195*x**5. Factor h(z).
-2*(z - 1)**2*(z + 1)**3/13
Suppose -4*c - 20 = 0, -3*c = 2*f - c + 10. Let f - m**2 + m**3 - 1/3*m**4 + 1/3*m = 0. Calculate m.
0, 1
Let w(y) be the first derivative of -5*y**8/672 + y**7/336 + y**6/45 + y**5/60 - 2*y**3/3 - 1. Let h(b) be the third derivative of w(b). Factor h(g).
-g*(g - 1)*(5*g + 2)**2/2
Let a(p) be the second derivative of p**6/90 + p**5/60 - p**4/12 - 5*p**3/18 - p**2/3 + 2*p. Factor a(y).
(y - 2)*(y + 1)**3/3
Suppose 2*y = -0 + 6. Factor -3*c**3 + 2*c**2 + 0*c**2 + c**y.
-2*c**2*(c - 1)
Let p(k) = -k - 2. Let c be p(-5). Suppose -c*f = -5*d - 29, 5*f + 2*d = 4*d + 23. Let m + 4*m**f - 3*m**3 - 2*m**3 + m**2 - 4 + 3 = 0. What is m?
-1, 1
Factor -2/9*y**2 - 32/9 - 16/9*y.
-2*(y + 4)**2/9
Let r(a) = -a**5 - 4*a**4 + 4*a**2 - 3*a + 2. Let j(u) = u**5 + u**4 - u**2 + u - 1. Let v(y) = 2*j(y) + r(y). Factor v(z).
z*(z - 1)**3*(z + 1)
Let y be 50/(-8) - 5/(-20). Let i(b) = b + 6. Let d be i(y). Factor -1/2*v**3 + d*v + 1/2*v**2 + 0.
-v**2*(v - 1)/2
Factor -6*g + 23*g**3 + 3 + 22*g**3 - 3*g**2 - 39*g**3.
3*(g - 1)*(g + 1)*(2*g - 1)
Factor -5/3*n + 4/3 + 1/3*n**2.
(n - 4)*(n - 1)/3
Suppose -5*o + 6 = 2*l, 3*l + o - 3 = 2*l. Factor 7*q**3 + 0*q**3 - l*q - 4*q**3.
3*q*(q - 1)*(q + 1)
Suppose -4*r = -3*s - r, -4*r = -3*s - 4. Let v(t) = t**3 - t**2 + t + 1. Let p(c) = -5*c**3 + 5*c**2 - 4*c - 4. Let u(j) = s*v(j) + p(j). Solve u(f) = 0.
0, 1
Let v(t) = 8*t**2 + 12*t + 8. Let r(j) = -23*j**2 - 35*j - 23. Suppose -k - 24 = -7*k. Let a(l) = k*r(l) + 11*v(l). Find c such that a(c) = 0.
-1
Suppose -3*q = 5*t - 3, -2*q = -3*t + q + 21. Let t*v + 8*v**2 + 6*v + 3*v - 2*v + 4 + 2*v**3 = 0. What is v?
-2, -1
Let -34/9*a + 289/9 + 1/9*a**2 = 0. What is a?
17
Solve 90/7*t**2 + 12/7 - 54/7*t**3 + 10/7*t**4 - 58/7*t = 0.
2/5, 1, 3
Let a(t) be the first derivative of -t**4/3 + 4*t**3/9 + 8*t**2/3 - 16*t/3 - 5. Solve a(q) = 0 for q.
-2, 1, 2
Let c(w) = -2*w**5 + w**3 + 3 + w**5 + 0*w**5 - 2. Let a(r) = 6*r**5 + 27*r**4 + 93*r**3 + 168*r**2 + 144*r + 45. Let t(g) = -a(g) - 3*c(g). Factor t(z).
-3*(z + 1)*(z + 2)**4
Let p(t) be the second derivative of 1/2*t**3 - 4*t + 3*t**2 + 0 - 1/4*t**4. Suppose p(j) = 0. Calculate j.
-1, 2
Let s(q) be the first derivative of q**5/30 - q**4/12 - 2*q**2 + 4. Let g(u) be the second derivative of s(u). Find h, given that g(h) = 0.
0, 1
Let u(d) = d**3 + 15*d**2 + 12*d + 1. Let h(i) = -2*i**3 - 14*i**2 - 12*i - 2. Suppose 0 = -5*l - 10. Let x(p) = l*u(p) - 3*h(p). Factor x(c).
4*(c + 1)**3
Let u be 6/9*8*(-2 + 3). Determine v so that -244/3*v**2 + 40*v - u + 14*v**3 + 98/3*v**4 = 0.
-2, 2/7, 1
Let k(t) be the first derivative of -t**5/40 + t**4/16 - t**2/8 + t/8 + 18. Factor k(o).
-(o - 1)**3*(o + 1)/8
Let i be 4/(-7)*(-21)/6. Factor 4*c**3 - 4*c**3 - i*c**5 - 4*c**4 - 2*c**3.
-2*c**3*(c + 1)**2
Let w(f) = f + 9. Let v be w(-7). Let x be (v/(-3))/(48/(-18)). Factor -x*q + 1/4 + 1/4*q**3 - 1/4*q**2.
(q - 1)**2*(q + 1)/4
Let -2/9*l**4 - 2/9 + 0*l**3 + 0*l + 4/9*l**2 = 0. Calculate l.
-1, 1
Let k(w) = -52*w**2 - 2*w**3 + 8*w + 2 + 0 - 21*w**4 + 68*w**2 + 9*w**4. Let y(z) = z**