*2 + 0 - w*m**3. Factor d(p).
-2*(p - 1)**2*(3*p + 1)/3
Let l be (10/((-30)/27))/(15/(-2)). Suppose -7*x = -5*x - 4. What is o in -3/5*o**3 - 3/5*o**x + l*o + 0 = 0?
-2, 0, 1
Let i be (-17)/(-4) + (-1)/4. Let y be -3*(8/(-3))/i. Let 4*j**2 - 3*j**y - j**3 - 4*j**2 + j**2 = 0. Calculate j.
-2, 0
Let z = -11742/5 + 2349. Let 0 - 3/5*r**2 - z*r = 0. What is r?
-1, 0
Factor 0 - 4/7*m**2 - 16*m.
-4*m*(m + 28)/7
Factor 4/9*v**2 - 4 + 4*v - 4/9*v**3.
-4*(v - 3)*(v - 1)*(v + 3)/9
Let l(n) be the third derivative of -n**6/30 + 64*n**5/15 - 21*n**4/2 - 3*n**2 + 49. What is i in l(i) = 0?
0, 1, 63
Let n(r) be the second derivative of r**5/60 + r**4/3 + 35*r**3/18 + 2*r + 7. Solve n(v) = 0 for v.
-7, -5, 0
Let g(x) be the second derivative of x**4/66 + 7*x**3/33 + 77*x. Factor g(p).
2*p*(p + 7)/11
Let d(m) = -2*m**4 + 2*m - 1. Let g(u) = -17*u**4 + 39*u**3 + 67*u**2 + 31*u - 5. Let a(x) = 5*d(x) - g(x). Determine b, given that a(b) = 0.
-1, -3/7, 0, 7
Let a(j) = -2*j**3 + j**2 - j + 1. Let k(h) = -40828*h**3 - 39176*h**2 + 1588*h - 4. Let t(y) = -12*a(y) + k(y). Factor t(f).
-4*(f + 1)*(101*f - 2)**2
Let r(p) be the third derivative of 1/140*p**5 + 0 + 0*p + 1/14*p**4 + 3/14*p**3 - 4*p**2. Factor r(y).
3*(y + 1)*(y + 3)/7
Let u(p) be the third derivative of -p**6/210 + 2*p**5/7 - 6*p**4 + 112*p**3/3 - 52*p**2 - 1. Factor u(m).
-4*(m - 14)**2*(m - 2)/7
Let n(h) = -h**2 - 15*h - 24. Let f be n(-13). Factor k + 31*k**2 - 59*k**2 + 29*k**2 - f.
(k - 1)*(k + 2)
Let r(h) be the second derivative of 0*h**3 - 5*h + 0 + 0*h**2 + 1/25*h**5 + 0*h**4 + 1/105*h**7 - 1/25*h**6. Solve r(s) = 0 for s.
0, 1, 2
Let c = -443/6 - -74. Let a be (3 - (-102)/(-30))*(-30)/4. Factor 0 + 1/6*z**a - c*z**2 + 0*z.
z**2*(z - 1)/6
Let k(a) = -a**2 - 6*a + 1. Let b be k(-6). Let c be (-11)/(-44)*2*b. Let 1/2 + c*s**2 + s = 0. What is s?
-1
Let w(r) be the second derivative of -r**6/45 + r**5/10 + 13*r**4/18 - 5*r**3/3 + 699*r. Factor w(l).
-2*l*(l - 5)*(l - 1)*(l + 3)/3
Let n(f) = -1 + 6*f - 2*f + 2 - 2*f. Let q be n(2). Determine k so that -10*k**2 - 3 - q - 3*k + 0*k**3 - 13*k - 2*k**3 = 0.
-2, -1
Suppose 4*v - 1 = 7. Let o(l) be the third derivative of 2*l**v + 1/105*l**7 + 0*l**4 - 1/9*l**3 + 2/45*l**6 + 1/15*l**5 + 0*l + 0. Let o(c) = 0. Calculate c.
-1, 1/3
Let l(n) be the third derivative of -n**8/336 - n**7/42 - 5*n**6/72 - n**5/12 - 17*n**3/3 + 20*n**2. Let k(r) be the first derivative of l(r). Factor k(a).
-5*a*(a + 1)**2*(a + 2)
Suppose 74 - 29 = 3*o. Factor o*w**2 - 5 - 14*w**2 + 1.
(w - 2)*(w + 2)
Factor 0*p**2 - 9*p**4 + 3*p**2 + 4*p**5 - 6*p**4 + 13*p**2 - p**4 - 4*p**3.
4*p**2*(p - 4)*(p - 1)*(p + 1)
Suppose 0 = -2*t + 30 + 144. Suppose 276*n**3 - 678*n**2 + 6*n**2 + 312*n**3 + t*n - 3 = 0. What is n?
1/14, 1
Suppose k - 2*k - 1 = 0. Let t(o) = o**3 + 1. Let u(y) = -9*y**3 + 3*y**2 + 2*y - 4. Let h = -8 + 4. Let b(a) = h*t(a) + k*u(a). Factor b(c).
c*(c - 1)*(5*c + 2)
Suppose 4*q - q = -2*f, 0 = -5*q - 4*f - 2. Suppose -5*p = -2*v - 13, -q*p = -v + 1 - 6. Factor 38*n**3 - 2*n**4 + n**2 - 34*n**p - n**2.
-2*n**3*(n - 2)
Determine y, given that -y**5 - 21642*y**4 + 8*y**2 - 72 + 10817*y**4 + 50*y**2 + 10839*y**4 + 60*y - 59*y**3 = 0.
-1, 1, 2, 6
Let s(m) = m + 12. Let k be s(-9). Let x = k + 0. Factor -9*r**2 - 36*r + 23*r**3 - 1 - 8*r**x - 11.
3*(r - 2)*(r + 1)*(5*r + 2)
Let j(w) = w**3 + 2*w - 1. Let o(v) = -2*v**3 + v**2 + 10*v + 1. Let i(d) = -j(d) - o(d). Suppose i(q) = 0. What is q?
-3, 0, 4
Let q(j) be the third derivative of -1/6*j**4 + 3*j**2 + 0*j**3 + 0 + 0*j - 1/15*j**5. Determine p, given that q(p) = 0.
-1, 0
Let h = 6 + -3. Suppose h*d + d = 16. Factor -d*t**4 + 3*t**3 + 6*t**2 + 5*t**4 - 4*t**2.
t**2*(t + 1)*(t + 2)
Factor 0 + 1/6*u**2 + 34/3*u.
u*(u + 68)/6
Factor 8*k + 14*k**3 - 27*k**4 + 2*k**3 - 20*k**2 + 14*k**4 + 9*k**4.
-4*k*(k - 2)*(k - 1)**2
Suppose 3*g + d - 6 = -0*d, 4*g - 9 = -d. Let n(v) be the third derivative of 0*v**4 + 0*v**g - 1/20*v**5 - 3*v**2 + 0 + 0*v - 1/80*v**6. Factor n(j).
-3*j**2*(j + 2)/2
Let d(o) be the first derivative of o**6/6 - o**5/5 - 5*o**4/4 + o**3/3 + 4*o**2 + 4*o + 26. Factor d(x).
(x - 2)**2*(x + 1)**3
Let i(l) be the third derivative of 3/20*l**5 + 0*l + 3/8*l**4 + 1/2*l**3 - l**2 + 0 + 1/40*l**6. Factor i(w).
3*(w + 1)**3
Let w(f) be the second derivative of -1/2*f**3 - 3/4*f**4 - 14*f + 3/5*f**5 - 1 + 0*f**2. Factor w(r).
3*r*(r - 1)*(4*r + 1)
Let s(j) be the third derivative of j**6/90 + 2*j**5/5 - 19*j**4/18 - 33*j**2. Let s(i) = 0. Calculate i.
-19, 0, 1
Let c be (-62)/(-112) - (-775)/(-6200). Factor 1/7*t**3 + t - c - 5/7*t**2.
(t - 3)*(t - 1)**2/7
Suppose 3072 - 128*x + 4/3*x**2 = 0. What is x?
48
Let k(c) be the first derivative of 3*c**2 - c - 6 - 4/3*c**3 + 1/6*c**4. Let g(r) be the first derivative of k(r). Solve g(d) = 0.
1, 3
Let g be 14/18*(-24)/(-112). Suppose 0 = -2*z + 2 + 2. Factor 0 + g*c**z + 1/3*c.
c*(c + 2)/6
Let o(n) be the second derivative of -2*n**7/105 + 22*n**6/75 - 47*n**5/25 + 97*n**4/15 - 64*n**3/5 + 72*n**2/5 - 23*n + 3. Solve o(p) = 0 for p.
1, 2, 3
Let m be (-26)/(-130) + ((-14)/(-21))/(20/(-6)). Factor 4/7*q + 2/7*q**2 - 40/7*q**3 + m - 8*q**4.
-2*q*(2*q + 1)**2*(7*q - 2)/7
Let f(t) be the third derivative of 3/4*t**4 + 0 + 0*t**3 - 29*t**2 + 0*t + 1/40*t**5. Factor f(o).
3*o*(o + 12)/2
Let c(i) be the first derivative of 4*i**3/3 + 306*i**2 + 608*i + 277. What is x in c(x) = 0?
-152, -1
Let d(l) = l + 27. Let m be d(-25). Let t be (-250)/(-30) - 1/3. Let -10/3*p**3 + 8/3 + m*p**2 + t*p = 0. Calculate p.
-1, -2/5, 2
Let c(b) be the second derivative of b**8/504 - b**7/420 - b**6/270 + b**3/3 - 10*b. Let f(l) be the second derivative of c(l). Suppose f(q) = 0. Calculate q.
-2/5, 0, 1
Let i(r) be the third derivative of r**8/252 + 2*r**7/315 - r**6/15 + 2*r**5/45 + 5*r**4/18 - 2*r**3/3 - 2*r**2 - 5*r. Let i(w) = 0. Calculate w.
-3, -1, 1
Suppose 3*p**4 - 389*p**3 + 2*p**4 - 334*p**3 - 2*p**4 + 195*p**3 = 0. What is p?
0, 176
Factor -33/7*t**3 - 5*t**2 + 0 + 1/7*t**5 - 12/7*t - 9/7*t**4.
t*(t - 12)*(t + 1)**3/7
Let a(k) be the third derivative of k**9/362880 - k**8/120960 + k**5/15 + 15*k**2. Let w(i) be the third derivative of a(i). Determine l so that w(l) = 0.
0, 1
Find a, given that 3/2*a + 3/2*a**2 + 0 = 0.
-1, 0
Let o be 124/10 - (-41 - -51). Factor 3/5*j**2 + o - 3*j.
3*(j - 4)*(j - 1)/5
Let p(a) = -288*a**3 + 632*a**2 - 106*a + 12. Let c(r) = -r**2 + r - 1. Let u(m) = -8*c(m) - p(m). Solve u(i) = 0.
1/12, 2
Let x(z) be the second derivative of -z**6/6 - 3*z**5/2 + 5*z**4/12 + 5*z**3 - z - 65. Factor x(j).
-5*j*(j - 1)*(j + 1)*(j + 6)
Let c(j) be the second derivative of 2*j**6/15 + j**5/5 - j**4 - 10*j**3/3 - 4*j**2 - 109*j. Let c(d) = 0. What is d?
-1, 2
Suppose -5*w**4 - 82*w + 136*w + 5*w**2 + 15*w**3 - 69*w = 0. What is w?
-1, 0, 1, 3
Factor 7/6*a**4 - 3*a**2 + 9/2*a + 9/2 - 5/3*a**3 - 1/6*a**5.
-(a - 3)**3*(a + 1)**2/6
Let v(z) be the third derivative of -z**7/1470 + 3*z**6/280 + z**5/20 + 11*z**4/168 - 49*z**2. Factor v(f).
-f*(f - 11)*(f + 1)**2/7
Let n(p) be the third derivative of -1/60*p**5 - 1/6*p**4 + 2/3*p**3 + 0 + 0*p - 14*p**2 + 1/120*p**6. What is h in n(h) = 0?
-2, 1, 2
Factor 4/5*v**2 + 16/5*v + 12/5.
4*(v + 1)*(v + 3)/5
Let y(x) be the first derivative of 1/4*x**2 - 1/8*x**4 + 1/5*x**5 - 10 - 1/2*x**3 + 1/2*x. Suppose y(d) = 0. What is d?
-1, -1/2, 1
Let c(q) be the first derivative of -14 - q**4 - 16*q**2 - 20/3*q**3 - 16*q. Factor c(m).
-4*(m + 1)*(m + 2)**2
Suppose 4*u - 27 = -3*b + 2*b, -161 = -3*b + 4*u. Let h = -44 + b. Solve 19/3*n**4 + 27*n**2 - 2/3*n**5 - 9*n + 0 - 21*n**h = 0.
0, 1/2, 3
Let a(m) be the first derivative of -2*m**3/3 + m**2 - 208. Factor a(g).
-2*g*(g - 1)
Factor 98*y + 10*y - 4*y**5 - 36*y**4 - 32*y**2 + 108 - 64*y**2 - 104*y**3 + 24*y**2.
-4*(y - 1)*(y + 1)*(y + 3)**3
Let i(p) be the second derivative of 0 - 1/15*p**3 - 1/30*p**4 - 12*p + 0*p**2 - 1/200*p**5. Factor i(q).
-q*(q + 2)**2/10
Factor 9/2 + 189/4*f**2 - 123/4*f.
3*(7*f - 3)*(9*f - 2)/4
Determine g so that 2*g**2 - 2/5*g**3 - 8/5*g + 0 = 0.
0, 1, 4
Let x be (2/(-6))/((-5)/30). Let p(j) = 6*j**4 + j**3 - 11*j + 11. Let f(k) = k**4 - 2*k + 2. Let u(g) = x*p(g) - 11*f(g). Solve u(y) = 0.
-2, 0
Let s be 0/((-195)/26*8/12). Let 8/7*u + s - 24/7*u**2 - 2*u**3 = 0. What is u