 = -63*b**2 - 5*b - 7. Let y(x) = 7*j(x) + 3*o(x). Let i(p) = -2*d(p) + y(p). Factor i(l).
3*l*(11*l + 2)
Let u(i) be the first derivative of -2*i**3/3 + 8*i**2 - 14*i - 30. Factor u(x).
-2*(x - 7)*(x - 1)
Let w(y) be the second derivative of -1/60*y**6 + 1/24*y**4 + 0*y**5 + 12*y - 1/168*y**7 + 1/24*y**3 + 0 + 0*y**2. Find i such that w(i) = 0.
-1, 0, 1
Let f be 2/9 - 32/(-18). Find j such that 20*j**4 + 4*j**3 + 12*j**3 - 32*j**f + 36*j**2 + 8*j**5 = 0.
-1, -1/2, 0
Suppose -i - 4*i - 17 = -27. Factor 2/3 - 1/3*u**i + 1/3*u.
-(u - 2)*(u + 1)/3
Let w(b) be the first derivative of b**6/135 + 2*b**5/45 + 2*b**4/27 + 4*b + 27. Let z(p) be the first derivative of w(p). Factor z(k).
2*k**2*(k + 2)**2/9
Suppose 402*v + 12*v**2 + 12 - 5 - 45*v**2 - 79 = 0. Calculate v.
2/11, 12
Let o(r) be the first derivative of 0*r**4 - 2/35*r**5 - 6 + 0*r + 2/7*r**3 - 2/7*r**2. Let o(v) = 0. What is v?
-2, 0, 1
Let d = -608 - -612. Let q(x) be the first derivative of -x**3 - 1/4*x**d + 5/2*x**2 - 2 + 1/5*x**5 - 2*x. Factor q(p).
(p - 1)**3*(p + 2)
Let d be (-1)/12*-9*4. Suppose 0 = -5*v + 3*a + 29, d*v - 7 = a + 8. Let 5*o - v*o - 12*o**3 + 15*o**3 - 4*o = 0. Calculate o.
-1, 0, 1
Let s be (-16)/6 + (-11 + 3)/(-2). Find f, given that 0 + s*f**3 + 0*f**2 - 4/3*f = 0.
-1, 0, 1
Let v be (-11)/693*-159 + (-5)/(-35). Find f, given that -8/3*f**2 - 2*f**3 + 8/3*f - 2/3*f**5 + v*f**4 + 0 = 0.
-1, 0, 1, 2
Suppose 5*r - 20 = 3*u, -2*r - 4 = r - 5*u. Suppose 3*a = -1 + r. Suppose 0 + 1/4*x**a + 1/4*x = 0. Calculate x.
-1, 0
Suppose -3*y - 25 - 9 = 5*z, 4*z + 26 = -2*y. Let g be (-9)/y*50/15. Determine j so that -j + 10*j - j**3 + 2*j**2 - g*j = 0.
0, 1
Let o = 1998 + -1994. Factor 1/8 + 9/8*v**2 + 5/8*v + 1/4*v**o + 7/8*v**3.
(v + 1)**3*(2*v + 1)/8
Factor -897 - 20*b - 8*b + 4*b**3 + 18*b**2 + 897 - 2*b**4 + 8*b**3.
-2*b*(b - 7)*(b - 1)*(b + 2)
Let f(a) = 12*a**2 - 4. Let h(x) = -x**2. Let t(k) = k**3 + 3*k**2 - 3*k + 5. Let p be t(-4). Let y(b) = p*f(b) + 8*h(b). Find l such that y(l) = 0.
-1, 1
Let w = -23599/3 - -7867. Find k such that 0*k - 1/6*k**4 + w*k**2 + 1/2*k**3 + 0 = 0.
-1, 0, 4
Let n(h) be the second derivative of -h**7/1260 - h**6/120 - h**5/30 + h**4/2 + 14*h. Let g(p) be the third derivative of n(p). Factor g(o).
-2*(o + 1)*(o + 2)
Suppose -2*m = -5*y + 8, 9 = 4*y - m + 5. Suppose -2*b + 4 = 3*q - 4, q - 2 = y. Factor -b + 3*v + 15/4*v**2 + v**3.
(v + 2)**2*(4*v - 1)/4
Let w(g) be the first derivative of g**7/490 - g**5/140 - 6*g**2 + 12. Let h(t) be the second derivative of w(t). Determine v so that h(v) = 0.
-1, 0, 1
Suppose -2*q + 10 = -2*a + a, 3*a - 20 = -4*q. Let g(r) be the second derivative of 0*r**4 + 0*r**2 + 1/5*r**q + 0 + 0*r**3 - 2/15*r**6 - 7*r. Factor g(y).
-4*y**3*(y - 1)
Let p(m) be the third derivative of 21*m**6/20 + 193*m**5/30 + 2*m**4/3 - 4*m**3 - 111*m**2. Suppose p(c) = 0. Calculate c.
-3, -2/7, 2/9
Let o(n) be the first derivative of 9/10*n**2 - 1/5*n - 10 - 4/3*n**3. Factor o(l).
-(4*l - 1)*(5*l - 1)/5
Let g(l) be the third derivative of -l**6/960 - l**5/160 + l**4/48 + 256*l**2 + 2. Factor g(y).
-y*(y - 1)*(y + 4)/8
Let r be (-3014)/(-330) + 4/(-30). Let p be (-5)/(45/2) - (-8)/r. Find f, given that -1/3*f**4 - 1 - p*f**3 + 4/3*f**2 + 2/3*f = 0.
-3, -1, 1
Let t(n) = -15*n**3 + 17*n + 0*n - 5*n**4 - 6*n**2 - 3*n - 6. Let z(f) = 55*f**4 + 165*f**3 + 65*f**2 - 155*f + 65. Let b(l) = -65*t(l) - 6*z(l). Factor b(u).
-5*u*(u - 1)*(u + 2)**2
Let r(u) be the third derivative of u**5/12 - 50*u**4 + 12000*u**3 + 601*u**2. Suppose r(s) = 0. Calculate s.
120
Let h = 161830/7 + -23118. Factor 0*s**2 + 6/7*s**3 + h*s**4 - 2/7*s**5 + 0 + 0*s.
-2*s**3*(s - 3)*(s + 1)/7
Factor -2/9*h**5 - 2/9*h**3 + 0 + 0*h**2 + 4/9*h**4 + 0*h.
-2*h**3*(h - 1)**2/9
Let u(o) = 4*o**5 + 2*o**4 - 4*o**3 - 4*o**2 - 2*o. Let h(a) = -9*a**5 - 4*a**4 + 7*a**3 + 5*a**2 + 3*a. Let f(i) = -2*h(i) - 5*u(i). Find m such that f(m) = 0.
-1, 0, 2
Find n, given that -2/9*n + 0 + 4/9*n**3 - 2/9*n**2 = 0.
-1/2, 0, 1
Let v(l) be the third derivative of l**7/1050 - l**6/300 - l**5/100 - 28*l**2. Determine x so that v(x) = 0.
-1, 0, 3
Let j be (-67160)/(-14) + (-18)/126. Let i = j - 23898/5. Suppose -6/5 - 3*o + i*o**2 - 66/5*o**3 = 0. What is o?
-2/11, 1/2, 1
Let u be 0 - 12/(-8)*14. Let t(o) = -5*o**5 - o**4 + 4*o**3 - 7*o**2. Let v(z) = z**4 - z**2. Let n(x) = u*v(x) - 3*t(x). Factor n(s).
3*s**3*(s + 2)*(5*s - 2)
Let g(w) be the first derivative of -7*w**4/20 + 23*w**3/15 - 5*w**2/2 + 9*w/5 + 65. Find z, given that g(z) = 0.
1, 9/7
Factor -3*b**3 - 88*b**2 + 18*b**2 + 48 - 128 + 155*b - 2*b**3.
-5*(b - 1)**2*(b + 16)
Factor 2/5*g**5 - 16/5*g**4 + 46/5*g + 48/5*g**3 - 68/5*g**2 - 12/5.
2*(g - 3)*(g - 2)*(g - 1)**3/5
Let u be (64/(-48))/(1/(3/(-2))). Let d be u/4 + -2*(-4)/(-16). Factor 1/4 + d*c - 1/4*c**2.
-(c - 1)*(c + 1)/4
Suppose -8*c = 320 + 1136. Let n = -179 - c. Factor 0*g**2 - 3/4*g**4 + 0 + 0*g**n + 0*g - 3/4*g**5.
-3*g**4*(g + 1)/4
Let t(v) be the first derivative of 5*v**7/42 - v**6/8 - v**5 - 5*v**4/6 - v**2/2 - 1. Let j(c) be the second derivative of t(c). Factor j(k).
5*k*(k - 2)*(k + 1)*(5*k + 2)
Let g(q) be the first derivative of 2/33*q**3 + 5 - 4/11*q + 1/11*q**2. Factor g(o).
2*(o - 1)*(o + 2)/11
Factor 80/9*h - 4/9*h**2 - 2/9*h**3 - 128/9.
-2*(h - 4)*(h - 2)*(h + 8)/9
Let o(d) = d**3 - 10*d**2 - 3*d + 30. Let l = -125 - -135. Let t be o(l). Factor -3/4*h**2 + t*h + 3/4.
-3*(h - 1)*(h + 1)/4
Let p(h) = -h + 14. Let a be p(8). Let -7*r**4 - 9*r**3 + 2*r**4 + a*r**3 - 2*r**3 = 0. Calculate r.
-1, 0
Suppose 27*r = 38*r - 22. Let a(l) be the third derivative of 0*l**3 + 0 + 0*l + 2/165*l**5 - 1/220*l**6 + 2*l**r - 1/132*l**4. Determine q so that a(q) = 0.
0, 1/3, 1
Let i = 490 - 484. Let o(r) be the third derivative of 2*r**2 + 0 + 0*r**3 + 1/120*r**i + 0*r**5 + 0*r**4 + 0*r. Let o(l) = 0. Calculate l.
0
Let z(g) be the third derivative of g**8/960 + g**7/630 - g**6/240 - 19*g**4/24 - 2*g**2. Let p(x) be the second derivative of z(x). Let p(n) = 0. Calculate n.
-1, 0, 3/7
Let c = -4233037/21406 + 1/42812. Let t = 198 + c. Let -t + 9/8*j - 19/8*j**3 + 3/2*j**4 + 0*j**2 = 0. Calculate j.
-2/3, 1/4, 1
Factor 674/17*j**3 - 480/17*j**4 + 98/17*j + 128/17*j**5 - 420/17*j**2 + 0.
2*j*(j - 1)**2*(8*j - 7)**2/17
Let a(x) = x + 2. Let h be a(-2). Suppose -5*r = -h*r - 245. Factor -4*z + 47*z**2 + 0*z - r*z**2.
-2*z*(z + 2)
Let z(g) be the second derivative of 4/7*g**2 - 4/21*g**3 + 0 + 10*g + 1/70*g**5 - 1/42*g**4. Determine c so that z(c) = 0.
-2, 1, 2
Let p(h) = h**3 + 6*h**2 - 5*h - 10. Let b be p(-6). Let q be 10/4*48/b. Factor 9*z - 5*z**3 + 3*z**5 - z**3 - q*z.
3*z*(z - 1)**2*(z + 1)**2
Let g(y) be the second derivative of 0 + 0*y**2 - 1/33*y**3 - 1/66*y**4 + 7*y. Factor g(p).
-2*p*(p + 1)/11
Let r(m) be the third derivative of -1/6*m**4 + 0 + 0*m**3 + 0*m - 4*m**2 - 1/15*m**6 - 3/10*m**5. Let r(l) = 0. Calculate l.
-2, -1/4, 0
Let b be (-4)/(-7) + (-3)/((-84)/(-44)). Let f be 2/(-32)*-44 - (1 - b). Let -1/4*p + f*p**2 - 1/4*p**4 + 1/4*p**3 - 1/2 = 0. Calculate p.
-1, 1, 2
Suppose 4*n - 191 = -2*w - 163, -4*w + 1 = -3*n. Suppose 1536/11 + 576/11*d**2 + 1536/11*d + 6/11*d**w + 96/11*d**3 = 0. What is d?
-4
Let y be -9*(24/9 + -4). Suppose 6 = -y*d + 15*d. Factor 0 + 1/6*l**4 + 0*l + 1/6*l**d - 1/3*l**3.
l**2*(l - 1)**2/6
Let b(w) = -3*w + 46. Let y be b(16). Let r be y/(-5) + 24/15. Determine d, given that 1/3*d**3 + 0 + 0*d + 0*d**r = 0.
0
Let j(i) = 3*i**2 - 5*i + 3. Let m be j(1). Let t be (1 - -1) + (-1 - m). What is w in t*w - 1/6 + 1/6*w**2 = 0?
-1, 1
Let 11*g**2 - 31*g - 5*g**2 + 14*g + 4 + 26*g + g**3 = 0. What is g?
-4, -1
Let p = -1141 + 1141. Let f(s) be the first derivative of p*s + 9 + 7/4*s**4 - 5*s**3 + 9/2*s**2 - 1/5*s**5. Suppose f(l) = 0. Calculate l.
0, 1, 3
Let q(v) be the first derivative of 2*v**3/3 + 11*v**2/2 + 12*v - 131. Factor q(r).
(r + 4)*(2*r + 3)
Let 72*n**3 + 88*n**4 - 85*n**4 + 33*n**2 - 10*n + 17*n**2 - 69 - 62*n + 16*n**2 = 0. What is n?
-23, -1, 1
Let g(z) = 5*z**3 - 20*z**2 - 116*z - 84. Let h(o) = 3*o**3 - 9*o**2 - 57*o - 42. Let y(m) = 3*g(m) - 7*h(m). Factor y(c).
-3*(c + 1)*(c + 2)*(2*c - 7)
Let g(v) be the third derivative of -v**6/24 - v**5/6 - v**2 - 131. Factor g(z).
-5*z**2*(z + 2)
Suppose 63*k = 52 + 137. Let d(r) be the