 + 57/5*w**3 + 3/5*w**5 - 12*w = 0.
-6, -2, -1, 1
Let h be ((-4)/(-6))/((-147)/9). Let m = 410/441 + h. Determine y, given that m*y + 8/9 + 2/9*y**2 = 0.
-2
Let d = 237 - 234. Let m(a) be the third derivative of -2/33*a**d - 5*a**2 + 0 + 0*a + 1/330*a**5 - 1/132*a**4. Solve m(o) = 0.
-1, 2
Suppose -5*v + 10 = 0, 0 = 2*y + 4*v - 10 - 2. Let m(t) be the second derivative of -1/25*t**5 + 0*t**3 + 1/60*t**4 - 2*t + 0 + 0*t**y. Let m(q) = 0. What is q?
0, 1/4
Let z(b) be the third derivative of 0*b + 1/48*b**4 - 1/240*b**6 + 27*b**2 - 1/12*b**3 + 1/120*b**5 + 0. Let z(i) = 0. What is i?
-1, 1
Let m(q) be the third derivative of -q**6/360 - 11*q**5/12 - 3025*q**4/24 - 166375*q**3/18 + 26*q**2 + 8. Factor m(y).
-(y + 55)**3/3
Let g(l) = -6*l**2 - 160*l + 625. Let a(f) = -3*f**2 - 81*f + 312. Let m(i) = -13*a(i) + 6*g(i). Factor m(q).
3*(q - 3)*(q + 34)
Let a(t) be the second derivative of t**8/392 - t**7/245 - t**6/140 + t**5/70 + 4*t**2 - 10*t. Let r(p) be the first derivative of a(p). Factor r(x).
6*x**2*(x - 1)**2*(x + 1)/7
Let z(g) be the first derivative of -5*g**6/6 - 2*g**5 - 5*g**4/4 + 343. Factor z(d).
-5*d**3*(d + 1)**2
Factor 6 + 280*f**2 - 12*f + 8 - 282*f**2.
-2*(f - 1)*(f + 7)
Let z be 198/(-16) - 3/(-8). Let f be (3/z*0)/(-2). Let 3/5*j**4 + 6/5*j - 6/5*j**3 - 3/5 + f*j**2 = 0. Calculate j.
-1, 1
Let y(a) be the second derivative of -11/16*a**4 + 23*a + 1/40*a**6 - 3/4*a**3 + 0 + 0*a**2 - 3/20*a**5. Factor y(t).
3*t*(t - 6)*(t + 1)**2/4
Let d(b) = -b**3 + 8*b**2 + 10*b + 2*b**3 - 3*b - 4 + 7. Let j be d(-7). Factor 5*l**2 + 2 + l**2 + 0*l**2 - 5*l**2 + j*l.
(l + 1)*(l + 2)
Let x(b) be the third derivative of -b**6/280 + b**5/28 + 29*b**4/28 + 44*b**3/7 + 32*b**2 + 3*b. Suppose x(o) = 0. What is o?
-4, -2, 11
Solve 4/5*s**2 + 82/5*s - 42/5 = 0 for s.
-21, 1/2
Solve 6947*x + x**3 + x**3 - 4*x**2 - 6945*x = 0.
0, 1
Let s(r) be the second derivative of r**7/210 - r**5/60 - 13*r**2/2 + 10*r. Let h(k) be the first derivative of s(k). Solve h(d) = 0 for d.
-1, 0, 1
Let y(x) = -x**3 + 9*x**2 - 12*x - 12. Let m be y(7). Suppose -5*i + 3 = 5*j - 2, m*i - 3 = -j. Solve -2/3*l + 2/3*l**i - 4/3 = 0.
-1, 2
Let l be (-145)/55 + 3 + (-10)/(550/(-321)). Suppose -217/5*x**2 - 168/5*x - l*x**4 - 36/5 - 3/5*x**5 - 121/5*x**3 = 0. What is x?
-3, -2, -1/3
Let q = -669 - -672. Factor 1/3*p**4 + 2/3*p**2 + p**q + 0*p + 0.
p**2*(p + 1)*(p + 2)/3
Let b = 541/51 + -33/17. Let u = 107/12 - b. Factor -c + u*c**2 + 1.
(c - 2)**2/4
Let d(h) be the second derivative of h**5/5 + h**4/3 - 2*h**3/3 - 2*h**2 - 111*h. Factor d(n).
4*(n - 1)*(n + 1)**2
Let q(z) be the second derivative of -9*z**7/1120 + z**6/80 - z**5/120 + z**4/12 - 28*z. Let c(f) be the third derivative of q(f). Solve c(j) = 0 for j.
2/9
Let w(a) = -13*a**3 + 133*a**2 + 11*a. Let u(y) = 7*y**3 - 65*y**2 - 6*y. Let c(t) = 9*u(t) + 4*w(t). Solve c(o) = 0 for o.
-2/11, 0, 5
Find x such that 4/5*x + 4/5 - 21/5*x**2 - 3/5*x**5 + 11/5*x**3 + x**4 = 0.
-2, -1/3, 1, 2
Let d be 23/3 + (-6)/9 + -1. Let w be (9/(-12))/(d/(-16)). Factor -2/7*m**3 + 0 - 2/7*m**w + 2/7*m + 2/7*m**4.
2*m*(m - 1)**2*(m + 1)/7
Find d such that -64/3*d + 256/3 + 4/3*d**2 = 0.
8
Let k(a) be the third derivative of a**8/1176 + 11*a**7/735 + 19*a**6/420 + 3*a**5/70 - 26*a**2. Solve k(i) = 0.
-9, -1, 0
Suppose 3*d + h + 5 - 31 = 0, 3*h + 18 = 3*d. Suppose 2*p - 6 = -3*j, 0 = 4*j + 4*p - d - 0. Factor -7 + 11 - 4*i - i**2 - j*i**2 + 4*i**2.
(i - 2)**2
Let m(a) be the third derivative of a**8/1680 - a**7/210 - a**6/180 + a**5/10 - a**4/12 - 5*a**2. Let r(o) be the second derivative of m(o). Factor r(z).
4*(z - 3)*(z - 1)*(z + 1)
Let t = -2254 - -2254. Factor 1/5*c**3 - 1/5*c**2 + 0 + t*c.
c**2*(c - 1)/5
Let l be (160/(-25))/(-4) - (-2)/5. Let a(q) = -q - 1. Let j(f) = -2*f**2 + 2*f - 4. Let y(o) = l*a(o) - j(o). Factor y(r).
2*(r - 1)**2
Let c = 157/168 + -25/28. Let y(r) be the third derivative of -1/6*r**5 + 0 - c*r**6 - 2*r**2 + 0*r**4 + 0*r**3 + 0*r. Factor y(k).
-5*k**2*(k + 2)
Let k(c) be the second derivative of 0*c**2 + 5*c + 1/10*c**5 + 0*c**3 + 0 - 5/6*c**4. Factor k(d).
2*d**2*(d - 5)
Let g = -3/12164 + -8198515/85148. Let c = -96 - g. Factor 2/7*u**2 - 4/7*u + c.
2*(u - 1)**2/7
Let d = -7103 + 35523/5. Let 16/5 + d*c**3 - 12/5*c**2 - 16/5*c + 4/5*c**4 = 0. Calculate c.
-2, 1
Let x = -2/71797 + -24482765/430782. Let z = x - -57. Factor 1/3*h + z*h**2 + 1/6.
(h + 1)**2/6
Let q(u) be the first derivative of -2/3*u**4 + 2/3*u**2 + 2/9*u**6 - 33 - 4/15*u**5 - 4/3*u + 8/9*u**3. Determine n, given that q(n) = 0.
-1, 1
Let q be 8/(80/60 - (-2)/3). Let f(n) be the third derivative of 0 - 1/40*n**6 - 5*n**2 - n**q - 2*n**3 + 0*n - 1/4*n**5. Factor f(t).
-3*(t + 1)*(t + 2)**2
Let f = -14497 - -72489/5. Determine n so that 21/5*n**5 + f - 4/5*n - 71/5*n**4 + 83/5*n**3 - 33/5*n**2 = 0.
-2/7, 2/3, 1
Let s be 4/16 - 7/(-14). Let q(f) be the first derivative of s*f**4 - 2*f**3 + 0*f - 3 + 3/2*f**2. Factor q(h).
3*h*(h - 1)**2
Factor 32 + 50/3*a + 1/3*a**2.
(a + 2)*(a + 48)/3
Let y(x) be the first derivative of x**4/14 + 34*x**3/21 - 80*x**2/7 + 24*x + 65. What is q in y(q) = 0?
-21, 2
Suppose 3*s - 4 = s. Suppose s*u + 4*z - 2*z = 6, 4*u - 4*z = 4. Let 7*l**u + 4*l - l**2 + 4*l**2 = 0. What is l?
-2/5, 0
Let n be (3/2)/((-6)/(-8)). Let t be (-3)/6*4*(-50)/20. Factor 5 + p**2 - t*p**2 + 5*p**n - 6*p**2.
-5*(p - 1)*(p + 1)
Let u(z) be the second derivative of z**5/4 - 85*z**4/12 + 140*z**3/3 - 130*z**2 + 13*z - 2. Factor u(x).
5*(x - 13)*(x - 2)**2
Suppose 455 = 181*n - 17*n + 127. Let 0*c + 3/5*c**4 - 9/5*c**n - 6/5*c**3 + 0 = 0. What is c?
-1, 0, 3
Let q(y) be the second derivative of -y**5/16 + 25*y**4/48 - 35*y**3/24 + 15*y**2/8 + 29*y - 2. Solve q(z) = 0 for z.
1, 3
Suppose 0 = 9*u + 5 - 23. Factor 31*c**2 + c**4 + 34*c**u - 63*c**2 - 3*c**3.
c**2*(c - 2)*(c - 1)
Let f = 46 - 49. Let i be 2*(f + (76/12 - 3)). Factor 5/3*y - i*y**2 - 2/3.
-(y - 2)*(2*y - 1)/3
Let a(i) = 139*i**2 - 4*i + 2. Let r be a(1). Suppose 148*z = r*z. Factor -4/5*o**2 - 2/5*o**3 + z*o + 0.
-2*o**2*(o + 2)/5
Factor -8 - 47 - 8*n + 3*n**2 - 20 - 22*n - 6*n**2.
-3*(n + 5)**2
Suppose -y**4 - 15*y**3 + 30*y**4 - 5*y**4 + y**4 + 20*y - 5*y**5 - 25*y**2 = 0. Calculate y.
-1, 0, 1, 4
Let s(n) be the second derivative of 0*n**4 + 0*n**2 - 1/210*n**7 + 0*n**3 + 0 - 1/75*n**6 - 1/100*n**5 + 17*n. Factor s(w).
-w**3*(w + 1)**2/5
Let s(f) be the first derivative of 1/2*f**6 + 0*f - 12/5*f**5 + 9/4*f**4 + 4*f**3 + 1 - 6*f**2. Suppose s(j) = 0. What is j?
-1, 0, 1, 2
Factor 2/11*r**3 + 156/11*r**2 + 35152/11 + 4056/11*r.
2*(r + 26)**3/11
Let t(w) = 14*w**4 + 80*w**3 - 246*w**2 - 224*w + 98. Let c(o) = -2*o**4 + o**2. Let r(q) = 10*c(q) + t(q). Find j such that r(j) = 0.
-1, 1/3, 7
Let k be 74/14 + 18/315*-5. Let r(w) be the third derivative of 0*w + 0 - 1/12*w**4 - 2/9*w**3 - 1/90*w**k + 4*w**2. Let r(p) = 0. What is p?
-2, -1
Factor -512/5 - 64/5*f - 2/5*f**2.
-2*(f + 16)**2/5
Let u(w) = 3*w - 12. Suppose 7*j + 0*j = 35. Let l be u(j). Factor -26 - 4*x**4 + 22 + 4*x**2 + 4*x**2 - 4*x + 8*x**l - 4*x**5.
-4*(x - 1)**2*(x + 1)**3
Let z be (-57)/(-117) + (-22)/143. Factor 2/3*a + z*a**2 + 1/3.
(a + 1)**2/3
Let j(l) be the first derivative of -l**7/1050 + l**6/300 - l**5/300 - l**2 + 18. Let w(c) be the second derivative of j(c). Factor w(y).
-y**2*(y - 1)**2/5
Let g(m) be the second derivative of -m**4/4 - 29*m**3 - 2523*m**2/2 + 20*m. Let g(z) = 0. Calculate z.
-29
Factor 56/3*w + 1/3*w**2 + 784/3.
(w + 28)**2/3
Suppose 4*o - 9 = 15. Suppose -3*y + 24 = 4*r, 4*r - o = 3*r - 2*y. Solve -g - g - 16*g**3 + 6*g**2 - r + 19*g**3 - g = 0 for g.
-2, -1, 1
Let s = -6333 - -6335. Factor -5/2*z - 5/2*z**s + 5.
-5*(z - 1)*(z + 2)/2
Let v(h) be the second derivative of h**4/6 - 13*h**3/6 - 12*h**2 + 501*h. Factor v(a).
(a - 8)*(2*a + 3)
Find g, given that -3*g**3 + g**3 - 6 + 6 + 0 + 120*g**2 = 0.
0, 60
Suppose 15 + 19 = 2*s. What is o in o**3 - 100*o**5 - 65*o**4 - s*o**3 + 6*o**3 = 0?
-2/5, -1/4, 0
Let i(c) be the second derivative of c**8/560 + 3*c**7/350 + c**6/100 + c**2/2 + 16*c. Let z(p) be the first derivative of i(p). Factor z(q).
3*q**3*(q + 1)*(q + 2)/5
Let n(g) be the third derivative of -g**7/525 - 3*g**6/100 - g**5/25 + 4*g**4/15 + 244*g**2. Solve n(a) = 0 for a.
-8, -2, 0, 1
Let w(