). Factor v(h).
-2*(h - 3)*(h - 2)**2*(h + 2)
Find z such that 2*z**2 - 1/2*z**4 + 0 + 1/2*z**5 + 4*z - 3*z**3 = 0.
-2, -1, 0, 2
Factor -3/2 - 3/8*m**2 + 2*m - 1/8*m**3.
-(m - 2)*(m - 1)*(m + 6)/8
Let d(a) be the third derivative of 0*a**6 + 9*a**2 + 1/21*a**7 + 0*a**3 + 0 - 5/336*a**8 + 0*a + 5/24*a**4 - 1/6*a**5. Factor d(r).
-5*r*(r - 1)**3*(r + 1)
Let n(x) = -x**3 - 16*x**2 - 9*x - 4. Let j(q) = q**3 + 18*q**2 + 9*q + 4. Let o(h) = -5*j(h) - 6*n(h). Factor o(i).
(i + 1)**2*(i + 4)
Factor -2*c - 23*c - 18*c**3 + 7*c + 2*c**4 - 14*c + 48*c**2.
2*c*(c - 4)**2*(c - 1)
Let f(d) be the first derivative of -4/3*d**3 + 28 + 10*d**2 - 24*d. Suppose f(u) = 0. What is u?
2, 3
Let p(l) be the first derivative of 23 + 0*l + 2/15*l**5 + 2/3*l**4 - 8/9*l**3 + 0*l**2 - 1/9*l**6. Determine t, given that p(t) = 0.
-2, 0, 1, 2
Suppose 160*r = -118*r + 76*r + 606. Let 0 + 24/5*y**2 + 12/5*y + 9/5*y**r = 0. Calculate y.
-2, -2/3, 0
Let h(y) be the third derivative of -y**8/3360 - y**7/840 + y**5/120 + y**4/48 + 11*y**3/6 - y**2. Let j(i) be the first derivative of h(i). Factor j(m).
-(m - 1)*(m + 1)**3/2
Let l(a) be the third derivative of -a**6/270 + 11*a**5/27 + 113*a**4/54 + 38*a**3/9 + a**2 + 6. Solve l(h) = 0.
-1, 57
Let u = -43/15 + 247/60. Factor -11/4*w - u - 1/4*w**3 - 7/4*w**2.
-(w + 1)**2*(w + 5)/4
Determine w, given that 15/11*w**2 + 76/11 + 72/11*w - 1/11*w**3 = 0.
-2, 19
Find c, given that 0 + 3/5*c**2 + 3/5*c = 0.
-1, 0
Let f(b) = -b - 10. Let z be f(-12). Factor 4*o**3 - 11*o**z + 2*o**2 - o**3.
3*o**2*(o - 3)
Factor -4096/3 - 1/3*g**3 - 256*g - 16*g**2.
-(g + 16)**3/3
Factor -1/2*n**2 + 3/2*n + 0.
-n*(n - 3)/2
Let v be (-216)/(-28)*(0/(-4) + 21). Let p = v + -315/2. Factor 3/2*w**2 - p*w + 3.
3*(w - 2)*(w - 1)/2
Let b(s) = -8*s + 218. Let x be b(27). Let u(n) be the first derivative of 1/6*n**3 - x*n + 3/4*n**2 - 9. Find a such that u(a) = 0.
-4, 1
Let a(q) be the third derivative of -q**9/544320 + q**8/22680 - q**7/2835 + 19*q**5/60 - 19*q**2. Let g(c) be the third derivative of a(c). Factor g(v).
-v*(v - 4)**2/9
Suppose -4*o - 69 + 21 = -4*u, 0 = u + 5*o + 6. Factor -2*p**4 + 0*p**2 - u*p**3 + 3*p**2 + 6*p + 3*p**5 - p**4 + 0*p**5.
3*p*(p - 2)*(p - 1)*(p + 1)**2
Let z(j) be the second derivative of -j**8/10080 + j**7/1680 - j**6/1080 + j**3/2 + 4*j. Let m(y) be the second derivative of z(y). Let m(i) = 0. What is i?
0, 1, 2
Let t(z) be the first derivative of 1 - 1/90*z**5 + 0*z**4 - 8*z + 0*z**6 + 0*z**2 + 0*z**3 + 1/189*z**7. Let m(k) be the first derivative of t(k). Factor m(l).
2*l**3*(l - 1)*(l + 1)/9
Let v = -1914/5 - -383. Let l(k) be the second derivative of -v*k**5 + 0*k**2 - 1/15*k**6 + 0 + 4*k + 0*k**3 - 1/6*k**4. What is c in l(c) = 0?
-1, 0
Let g(u) be the second derivative of -u**5/4 - 10*u**4/3 - 25*u**3/2 - 134*u. Factor g(t).
-5*t*(t + 3)*(t + 5)
Let c be (6/4)/((-19)/38). Let k be (-3)/(c + 6/4). Factor 10 + y**2 - y**2 - 4*y**k - 16*y - 26.
-4*(y + 2)**2
Let u = 391 - 391. Let g(m) be the first derivative of -2/13*m**2 + 3/26*m**4 - 3 + 2/39*m**3 + u*m. Suppose g(r) = 0. What is r?
-1, 0, 2/3
Let z(r) be the third derivative of r**7/840 - r**6/480 - r**5/240 + r**4/96 + 3*r**2 + 17*r. Factor z(v).
v*(v - 1)**2*(v + 1)/4
Let z(p) = -18*p**3 - p**2 + p. Let q be z(1). Let v be 4/(-6) - 66/q. Find w, given that -w**2 - v*w**4 + 12 - 3*w**3 - 12 - w**5 = 0.
-1, 0
Let k(y) = -5*y**5 - 6*y**4 - 4*y**3 + 6*y**2 + y. Let g(o) = 4*o**5 + 5*o**4 + 3*o**3 - 5*o**2 - o. Let f(u) = -4*g(u) - 3*k(u). Find l such that f(l) = 0.
-1, 0, 1
Suppose 51 = 93*o - 135. Suppose 0*l + 0 - 1/3*l**3 - 2/3*l**4 + 0*l**o = 0. Calculate l.
-1/2, 0
Let n be 56/21 - 4/6. Factor i**4 - 5 + 3*i**3 - 3*i - 8*i**2 + 3 + 9*i**n.
(i - 1)*(i + 1)**2*(i + 2)
Let c(h) be the second derivative of -h**4/6 - 23*h**3/3 - 41*h**2/2 + 2*h + 44. Let q be c(-22). Factor 0 - 1/7*v - 1/7*v**q - 2/7*v**2.
-v*(v + 1)**2/7
Let h(j) = -204*j**3 + 432*j**2 - 324*j + 87. Let l(s) = 202*s**3 - 432*s**2 + 324*s - 86. Let x(c) = 5*h(c) + 6*l(c). Factor x(v).
3*(4*v - 3)**3
Factor -26450/9 + 460/9*m - 2/9*m**2.
-2*(m - 115)**2/9
Let k(r) be the second derivative of 1/45*r**6 + 0*r**3 - 15*r + 0*r**2 + 0 + 1/189*r**7 + 1/54*r**4 + 1/30*r**5. Factor k(t).
2*t**2*(t + 1)**3/9
Suppose 0 = -4*d - 4*i + 14 + 10, 4*d - 2*i = 6. Suppose 0 = -d*n + 1 - 1. What is t in -2/7*t**2 + n + 2/7*t = 0?
0, 1
Let o(n) be the third derivative of 2/105*n**7 - 1/2*n**4 + 1/10*n**6 - 1/15*n**5 + 0 + 21*n**2 + 0*n**3 + 0*n. Factor o(g).
4*g*(g - 1)*(g + 1)*(g + 3)
Let t(w) be the first derivative of -2*w**6/3 - 28*w**5/5 - 19*w**4 - 100*w**3/3 - 32*w**2 - 16*w + 5. Factor t(a).
-4*(a + 1)**3*(a + 2)**2
Let o be 200/160 + 47/4 + -1. Suppose -111*w = -114*w + o. Suppose 8/5*p + 4/5*p**5 + 36/5*p**3 + 28/5*p**2 + 0 + w*p**4 = 0. Calculate p.
-2, -1, 0
Let z be 119/(-102) - (-44)/33. Factor 0 + 0*u**2 - 1/6*u + z*u**3.
u*(u - 1)*(u + 1)/6
Let d(h) = -61*h + 2444. Let o be d(40). Determine g, given that -4/3*g**3 + 0 + 4/3*g + 2/9*g**o - 2/9*g**2 = 0.
-1, 0, 1, 6
Let u(a) = -a**4 + 2*a**3 - 3*a**2 + 2. Let k be ((-5)/(-10))/(2/8). Let c(y) = -5*y**2 + 4*y**k + 5 - 4. Let t(m) = 2*c(m) - u(m). Factor t(w).
w**2*(w - 1)**2
Let a(o) be the third derivative of -867*o**5/80 + 17*o**4/8 - o**3/6 - 339*o**2. Let a(n) = 0. What is n?
2/51
Let n be 134 - (1 + 0)*-2. Find q, given that -16*q - n*q**2 + 18*q**5 + 212*q**3 - 112*q**4 + 32 + 17*q**5 - 15*q**5 = 0.
-2/5, 1, 2
Let t = 277 + -275. Let n(j) be the third derivative of 0 + 1/18*j**4 - 1/3*j**3 + 0*j - 5*j**t + 1/90*j**5. Find h, given that n(h) = 0.
-3, 1
Suppose d - 2*d + 7 = 4*s, 5*d + 28 = s. Suppose -s*l + 15 = -0. Factor 1/2*r**l + 0*r**3 - 1/2*r - r**2 + r**4 + 0.
r*(r - 1)*(r + 1)**3/2
Let i = 10202 - 30601/3. Suppose i*v + 1/3*v**2 - 2 = 0. Calculate v.
-6, 1
Let u(b) = 5*b**3 - 2*b**2 + 2*b - 1. Let g be u(1). Suppose g*f = 11 + 1. Factor -2*s - 4*s**2 + 2*s**2 + s**2 + s**5 + s**3 - 2*s**2 + f*s**4.
s*(s - 1)*(s + 1)**2*(s + 2)
Let h = 57282/5 + -11456. Determine q so that -8/5*q**2 + 2/5*q**3 - 8/5*q + h*q**4 + 0 = 0.
-2, -1, 0, 2
Let s(h) be the first derivative of -h**4/12 + 2*h**3/3 - 3*h**2/2 + 4*h/3 - 215. What is m in s(m) = 0?
1, 4
Factor -54/5 + 12*p - 6/5*p**2.
-6*(p - 9)*(p - 1)/5
Factor 10/9*i**2 - 2/9*i**3 + 0 + 28/9*i.
-2*i*(i - 7)*(i + 2)/9
Let l be ((1 - 3) + 2)/(-2). Suppose -k + 3 = -3*r + 9, 5*r - 15 = l. Find a such that 3*a - 2 + 3*a + k*a**2 - 7 = 0.
-3, 1
Let b(c) = 168*c**2 + 171*c + 192. Let p(v) = -19*v**2 + v - 1. Let l(k) = b(k) + 9*p(k). Suppose l(o) = 0. Calculate o.
-1, 61
Let k(m) = -9*m**2 - 19*m - 25. Let r(g) be the second derivative of -g**4/3 - 3*g**3/2 - 6*g**2 + 5*g. Let u(l) = -3*k(l) + 7*r(l). Let u(p) = 0. Calculate p.
-3
Let l = -464/63 - -74/9. Let x(z) = 294*z + 1767. Let t be x(-6). Determine k, given that -4/7*k - 2/7*k**t - l*k**2 + 0 = 0.
-2, -1, 0
Let v be 9 + (-1)/2*6. Suppose 9 - 27 = -v*j. Factor -5*a**5 - 5*a + 3*a**5 - 3*a**5 + 0*a**5 + 10*a**j.
-5*a*(a - 1)**2*(a + 1)**2
Let g(q) = -q**3 + 32*q**2 - 4*q - 2. Let n(p) = -12*p**3 + 417*p**2 - 54*p - 27. Let h(y) = -27*g(y) + 2*n(y). Factor h(w).
3*w**2*(w - 10)
Let u(x) = -2*x**2 + 30*x + 4. Let s be u(15). Factor -95*j**s - 88*j**4 + 185*j**4 - 4*j**3 + 4*j - 2.
2*(j - 1)**3*(j + 1)
Let f(y) be the second derivative of -y**4/3 + 28*y**3/3 - 66*y**2 + 385*y. Factor f(o).
-4*(o - 11)*(o - 3)
Let a(w) be the third derivative of -2/105*w**5 + 1/840*w**6 + 0 - 25*w**2 + 0*w - 1/7*w**3 + 13/168*w**4. Factor a(s).
(s - 6)*(s - 1)**2/7
Let b be 8*91/104 + 10/(-3). Determine p, given that 1/3*p**4 - 4/3 - b*p - 3*p**2 - 1/3*p**3 = 0.
-1, 4
Let n(w) = -170*w**4 - 530*w**3 + 55*w**2 + 495*w - 150. Let z(f) = 9*f**4 + 28*f**3 - 3*f**2 - 26*f + 8. Let m(t) = -4*n(t) - 75*z(t). Factor m(c).
5*c*(c - 1)*(c + 2)*(c + 3)
Let a(r) be the first derivative of r**3 + 15*r**2 - 33*r - 429. Factor a(v).
3*(v - 1)*(v + 11)
Let y = -27 - -136/5. Let n(f) be the first derivative of -4/5*f**2 + 2/5*f**3 - 2/25*f**5 + y*f**4 - 2 - 8/5*f. Suppose n(x) = 0. What is x?
-1, 2
Let b(o) be the third derivative of -o**7/140 + o**6/80 + o**5/40 - o**4/16 + 74*o**2 + 3. Factor b(v).
-3*v*(v - 1)**2*(v + 1)/2
Let s(w) be the third derivative of w**6/30 + 7*w**5/5 + 13*w**4/2 + 38*w