e 0 = -7*t - 12 + 40. Let m(b) = b**2 + 3*b - 23. Let q be m(t). Factor 0*f + 0 + 2*f**3 + 0*f**4 - 4/3*f**2 - 2/3*f**q.
-2*f**2*(f - 1)**2*(f + 2)/3
Let a(t) be the third derivative of t**5/240 - 51*t**4/4 + 15606*t**3 - 4674*t**2. Factor a(b).
(b - 612)**2/4
Let m be (2208/1288)/(0 + (-4)/(-14)). Let o(j) be the second derivative of -1/12*j**m + 0*j**2 - 5*j + 0 + 0*j**3 - 15/8*j**4 + 3/4*j**5. Factor o(n).
-5*n**2*(n - 3)**2/2
Let z = 61692 - 61689. Solve -1/2*d + 0*d**4 + 0 + d**z - 1/2*d**5 + 0*d**2 = 0 for d.
-1, 0, 1
Let t(p) be the first derivative of 3*p**5/40 + 3*p**4/4 + 9*p**3/4 - 97*p - 132. Let y(q) be the first derivative of t(q). Factor y(a).
3*a*(a + 3)**2/2
Let d(f) = -2*f**2 + 16*f - 30. Let y be d(4). Let u be y/13 + 5 + 205/(-65). Find l such that -48/5*l + 192/5 + 48/5*l**3 - 3/5*l**4 - 189/5*l**u = 0.
-1, 1, 8
Let k(o) = -3*o**3 - 3*o**2 - o + 3. Suppose 3*q - 2*q - 3*q = 0. Let u(z) = -z - z**3 - 10 + 11 - z**2 + q*z**3. Let a(l) = k(l) - 2*u(l). Factor a(p).
-(p - 1)*(p + 1)**2
Let z = 19096/5 - 3816. Solve -2/15*i**2 + 46/15*i + z = 0 for i.
-1, 24
Suppose -584*p + 1 = -20*p + 1 - 0. Let -12*j**2 - 34/3*j + p - 2/3*j**3 = 0. What is j?
-17, -1, 0
Let f(p) be the first derivative of -52/9*p**2 + 2/27*p**3 - 153 + 1352/9*p. Factor f(w).
2*(w - 26)**2/9
Let b(n) be the third derivative of n**8/112 + 3*n**7/35 - 61*n**6/40 + 63*n**5/10 - 9*n**4 - 741*n**2 - 2. Solve b(y) = 0.
-12, 0, 1, 2, 3
Let c(r) = 171*r**2 - 4103*r - 22. Let i be c(24). Factor 2/15*d**i + 4/5 + 14/15*d.
2*(d + 1)*(d + 6)/15
Let i(h) be the first derivative of 48*h - 35 + 15/7*h**3 - 3/28*h**4 - 108/7*h**2. Factor i(t).
-3*(t - 7)*(t - 4)**2/7
Let j(y) be the first derivative of y**6/24 + y**5/10 - 5*y**4/16 - y**3/2 + 334. Factor j(z).
z**2*(z - 2)*(z + 1)*(z + 3)/4
Factor -4/3*u + 40/9*u**4 + 64/9*u**2 - 92/9*u**3 + 0.
4*u*(u - 1)**2*(10*u - 3)/9
Let s(z) be the first derivative of z**5/180 + z**4/24 + z**3/9 + 31*z**2/2 - 6. Let j(n) be the second derivative of s(n). Let j(l) = 0. Calculate l.
-2, -1
Let t(d) be the first derivative of 34 - 5/2*d**3 + 1/2*d**4 - 31*d + 4*d**2 + 1/20*d**5. Let m(s) be the first derivative of t(s). Factor m(i).
(i - 1)**2*(i + 8)
Let o(t) be the second derivative of t**6/200 + t**5/25 - 2*t**4/5 - 32*t**3/5 + 149*t**2/2 + 177*t. Let q(y) be the first derivative of o(y). Factor q(d).
3*(d - 4)*(d + 4)**2/5
Let u(n) = 51*n**2 + 40507*n + 45562493. Let r(x) = -36*x**2 - 27005*x - 30374995. Let i(z) = 7*r(z) + 5*u(z). Factor i(v).
3*(v + 2250)**2
Let h(p) be the second derivative of 1/140*p**5 + 0*p**3 - 4*p - 3 - 3/56*p**4 + 11*p**2. Let z(d) be the first derivative of h(d). What is a in z(a) = 0?
0, 3
Let l(w) = 35*w**2 + 333*w + 894. Let f(h) = 30*h**2 + 330*h + 895. Let b(g) = -6*f(g) + 5*l(g). Suppose b(j) = 0. What is j?
-60, -3
Let c(f) be the first derivative of -1/10*f**4 - 5 + 1/25*f**5 - 12/5*f + 2*f**2 - 7/15*f**3. What is h in c(h) = 0?
-3, 1, 2
Let r(h) = 13*h - 91*h**2 + 45*h**2 + 35 + 45*h**2. Let q be r(15). Determine n, given that 4/7*n**2 - 6/7*n**4 - 6/7*n + 2/7*n**q + 4/7*n**3 + 2/7 = 0.
-1, 1
Solve 92/5 + 27/5*g + 1/5*g**2 = 0.
-23, -4
Let s(v) = -v**3 - 2. Let r(p) = -8*p**5 - 116*p**4 - 418*p**3 + 704*p**2 + 4640*p + 2080. Let g(n) = -r(n) + 10*s(n). Solve g(a) = 0.
-7, -5, -1/2, 3
Let z(f) = -f**3 - 3*f**2 + 11*f - 36. Let i be z(-6). Suppose i*s = -7*s. Determine a so that s*a**2 + 0*a - a**4 + 2/3*a**3 + 0 - 2/3*a**5 = 0.
-2, 0, 1/2
Factor 7*u**2 - 6*u**4 - 220*u**2 - 192*u**3 - 135*u**2 + 3*u**5 - 132*u**2.
3*u**2*(u - 10)*(u + 4)**2
Let z(g) be the second derivative of g**7/28 + 27*g**6/40 + 387*g**5/80 + 31*g**4/2 + 18*g**3 - 89*g. Let z(t) = 0. Calculate t.
-9/2, -4, -1, 0
Factor -116835*g + 116896*g + 234 - 7*g**2 + 9*g**2.
(g + 26)*(2*g + 9)
Determine q so that 0 - 3*q + 1/2*q**4 - 7/2*q**2 + 0*q**3 = 0.
-2, -1, 0, 3
Let g(n) be the third derivative of -28/15*n**3 - 4/75*n**5 + 1/150*n**6 - 19/30*n**4 + 14 - 2*n**2 + 0*n. Determine m, given that g(m) = 0.
-2, -1, 7
Suppose 140/3*h**4 - 220000/3*h + 43000/3*h**2 - 2/3*h**5 + 400000/3 - 3650/3*h**3 = 0. What is h?
5, 20
Let p(u) be the first derivative of 2116*u**5/15 + 1564*u**4/3 - 275*u**3/9 + u**2/2 + 2678. Factor p(w).
w*(w + 3)*(46*w - 1)**2/3
Let h(o) be the first derivative of 9 + 7*o + 1/100*o**5 + 0*o**2 + 1/15*o**3 + 1/20*o**4. Let i(u) be the first derivative of h(u). Factor i(z).
z*(z + 1)*(z + 2)/5
Let s(a) be the second derivative of 31 + a + 0*a**2 - 3/20*a**5 + a**4 + 5/2*a**3. Let s(f) = 0. Calculate f.
-1, 0, 5
Let k(c) be the third derivative of c**6/360 - 7*c**5/180 - 35*c**4/18 + 50*c**3/3 + c**2 - c + 1678. Factor k(f).
(f - 15)*(f - 2)*(f + 10)/3
Let o(b) = 15*b**3 + 450*b**2 + 2320*b - 2795. Let g(l) = 8*l**3 + 224*l**2 + 1159*l - 1397. Let r(w) = -5*g(w) + 3*o(w). What is s in r(s) = 0?
-40, -7, 1
Suppose 136*u - 120*u + 96 = 0. Let p be 819/(-210)*4/u. Factor -6/5*n**3 - 12/5*n - 1/5*n**4 - p*n**2 - 4/5.
-(n + 1)**2*(n + 2)**2/5
Let z = -194504 - -1750538/9. Factor 0*y + z*y**2 + 2/3*y**3 + 0.
2*y**2*(3*y + 1)/9
Let n(i) be the third derivative of -i**5/20 + 181*i**4/8 - 90*i**3 - 84*i**2 - 1. Factor n(w).
-3*(w - 180)*(w - 1)
Let a(i) be the second derivative of -2*i**6/45 - i**5 - 25*i**4/9 + 10*i**3/3 + 52*i**2/3 + 2*i - 188. Solve a(z) = 0.
-13, -2, -1, 1
Let n be 33/21 - (384/(-112) - -3). Let x(p) be the first derivative of -3/28*p**4 - 9/7*p + 16 + 3/7*p**3 + 3/14*p**n. Suppose x(y) = 0. What is y?
-1, 1, 3
Solve 34/7*f**3 - 64/7*f + 0 + 2/7*f**4 + 4*f**2 = 0.
-16, -2, 0, 1
Let n = 350087 - 350084. Factor 18/7*c**n - 32/7*c**2 + 4/7 + 10/7*c.
2*(c - 1)**2*(9*c + 2)/7
Suppose -2*h - 23*h = 75. Let f(l) = -12*l**3 + 28*l**2 + 8*l - 8. Let o(s) = 4*s**3 - 10*s**2 - 3*s + 3. Let n(z) = h*f(z) - 8*o(z). Find y such that n(y) = 0.
0, 1
What is b in -23520*b + b**4 - 490*b**3 + 2*b**4 + 2571*b**2 + 9914*b**2 + 2*b**4 + 11520 = 0?
1, 48
Let o be -1 - -3 - (-11 - 1). Suppose 85*u = 11 + 244. Let -13*q + 15*q**u - o*q + 2*q**4 - 2*q**4 - 3*q**4 - 9*q**2 = 0. Calculate q.
-1, 0, 3
Let l(t) = 16*t**2 - 371*t - 1255. Let f be l(-3). Determine s, given that -30/7*s**2 + 2/7*s**3 + 4/7 + f*s + 10/7*s**4 = 0.
-2, -1/5, 1
Let w(g) be the second derivative of 4*g + 0*g**2 + 10/3*g**3 - 11 + 5/4*g**5 + 7/6*g**6 - 20/3*g**4. Find p such that w(p) = 0.
-2, 0, 2/7, 1
Solve -57*w**5 - 128*w**5 + 189*w**5 - 16*w**4 + 144*w**2 - 56*w**3 + 180*w = 0 for w.
-3, -1, 0, 3, 5
Let p(g) be the first derivative of -3*g**4/20 - 29*g**3/5 - 48*g**2 + 2304*g/5 - 700. Factor p(t).
-3*(t - 3)*(t + 16)**2/5
Let a(z) be the first derivative of 4*z**5/5 + 26*z**4 + 788*z**3/3 + 440*z**2 - 5808*z + 3932. Suppose a(j) = 0. What is j?
-11, -6, 2
Factor 430944 + 1/6*g**2 - 536*g.
(g - 1608)**2/6
Suppose 2*i + 4*l = 2*l - 4, 3*l + 12 = 0. Factor -3*j**3 - 3*j**3 - 30*j**i - 29*j**3 + 5*j.
-5*j*(j + 1)*(7*j - 1)
Let t(d) = -3*d - 6. Let m be 12/(-44) + 480/(-176). Let o be t(m). Factor 0 + 2/9*n**4 - 4/9*n**2 - 2/9*n**o + 0*n.
2*n**2*(n - 2)*(n + 1)/9
Factor -108*y**2 - 177*y**2 - 133*y - 60*y**3 + 405 + 135 - 5*y**4 - 47*y - 10*y**3.
-5*(y - 1)*(y + 3)*(y + 6)**2
Let r(z) be the third derivative of -z**6/60 + z**5/6 - z**4/4 + 35*z**3/3 + z**2 - 39*z. Let d(a) be the first derivative of r(a). What is b in d(b) = 0?
1/3, 3
Let -335 + 2205*a**2 + 3675/2*a + 65/2*a**3 = 0. What is a?
-67, -1, 2/13
Suppose -33 = 10*a - 93. Let o(t) be the second derivative of -a*t + 0*t**2 + 5/9*t**3 + 0 - 5/36*t**4. Factor o(k).
-5*k*(k - 2)/3
Suppose 0 = 354*b - 299*b - 2310. Let q(m) be the first derivative of -1/3*m**2 + 1/9*m**3 + 0*m + b. Factor q(g).
g*(g - 2)/3
Suppose 0 = -140*z + 278*z. Factor z*d - 2/9*d**3 - 1/3*d**4 + 0 + 1/9*d**2.
-d**2*(d + 1)*(3*d - 1)/9
Let o = 1237 - 857. Factor 2*f**5 + 4*f + 4*f**4 - 4*f + 376*f**2 - o*f**2 - 2*f**3.
2*f**2*(f - 1)*(f + 1)*(f + 2)
Let f(l) be the second derivative of 11 + 1/3*l**4 + 1/3*l**5 - l - 64/9*l**3 + 8*l**2. Solve f(j) = 0.
-3, 2/5, 2
Suppose -5*y = 3*x + 12, 3*x + 704*y = 705*y + 24. Let u(p) be the first derivative of -4/21*p**3 - 2/7*p**2 - x + 8/7*p. Suppose u(l) = 0. Calculate l.
-2, 1
Let w(c) be the third derivative of 0*c**3 + 0*c**4 - 17*c - 2*c**2 - 1/315*c**7 + 0 + 1/120*c**6 + 0*c**5 - 1/1008*c