
-2, -1, 0, 2/11
Suppose 0 = -2*v + 10*v. Let y(p) be the third derivative of v*p**7 - 1/1008*p**8 - p**2 + 0*p + 1/180*p**6 - 1/72*p**4 + 0 + 0*p**3 + 0*p**5. Factor y(d).
-d*(d - 1)**2*(d + 1)**2/3
Let s(i) = 6*i**3 - 4*i**2 - 4*i + 1. Let g(x) = -7*x**3 + 5*x**2 + 4*x - 2. Let q(j) = -5*g(j) - 6*s(j). Find o such that q(o) = 0.
-2, -1, 2
Let v = -8 - -12. Let a(r) = r**2 - 9*r - 90. Let o be a(-6). Factor 0*p - 2/5*p**3 + o*p**2 + 0 + 2/5*p**v.
2*p**3*(p - 1)/5
Let s(k) = -81*k**4 + 3966*k**3 - 80496*k**2 - 177471*k + 66. Let u(j) = 5*j**4 - 248*j**3 + 5031*j**2 + 11092*j - 4. Let a(l) = 2*s(l) + 33*u(l). Factor a(w).
3*w*(w - 43)**2*(w + 2)
Factor -4*g**3 - 11*g**2 + 246*g + 198*g + 0*g**3 - 480*g - 13*g**2.
-4*g*(g + 3)**2
Let s(r) be the third derivative of 1/360*r**5 + 1/72*r**4 + 0 + 0*r + 0*r**3 - 12*r**2. Solve s(n) = 0 for n.
-2, 0
Let z = 6707/21 + -319. Let x(w) be the first derivative of -z*w**3 + 12/35*w**5 + 4/7*w**2 + 3/7*w**6 + 2 + 0*w - 11/14*w**4. Factor x(j).
2*j*(j + 1)**2*(3*j - 2)**2/7
Let k(d) = -d**5 - 9*d**4 + 12*d**3 + 4*d + 4. Let t(o) = -2*o**4 + o + 1. Let s(h) = k(h) - 4*t(h). Suppose s(f) = 0. What is f?
-4, 0, 3
Let y(o) = 3*o**4 + 8*o**3 + o**2 - 8*o. Let i(s) = s**4 + s**2. Let r(u) = 2*i(u) - y(u). Find t such that r(t) = 0.
-8, -1, 0, 1
Let f(j) be the first derivative of -55*j**3/3 + 5*j**2 + 240*j + 207. Factor f(b).
-5*(b + 2)*(11*b - 24)
Let m be 27/((-117)/13)*(-5)/5. Factor -12/5*s**2 - 24/5*s**m + 0 - 3*s**4 - 3/5*s**5 + 0*s.
-3*s**2*(s + 1)*(s + 2)**2/5
Let n(y) be the second derivative of y**6/30 + 7*y**5/20 + 181*y - 2. Factor n(a).
a**3*(a + 7)
Let y(j) be the first derivative of 1/5*j**3 - 22 + 9/10*j**2 + 6/5*j. Factor y(b).
3*(b + 1)*(b + 2)/5
Factor 4*g**4 - 23*g**2 + 4*g**2 + 3*g**4 - 34*g - 12 - 9*g**2 + g**4 + 2*g**5.
2*(g - 2)*(g + 1)**3*(g + 3)
Find f such that -462*f + 8*f**2 + 64 - 2*f**3 + 216*f + 302*f = 0.
-2, 8
Let c be (-4)/(48/(-33)) - (-3)/(-6). Let q = c - 2. Factor -1/4*k**4 + 3/4*k**2 - 1/2 + 1/4*k - q*k**3.
-(k - 1)**2*(k + 1)*(k + 2)/4
Suppose 30 = 3*z + 5*g, -4*g + 511 - 487 = 0. Factor -1/3*b**2 + b**5 + 5/3*b**3 + 0*b + z - 7/3*b**4.
b**2*(b - 1)**2*(3*b - 1)/3
Let v be 1/3 + -4*(-1437)/144. Let l = 837/20 - v. Factor 3/5*m**2 - l*m + 4/5.
(m - 2)*(3*m - 2)/5
Let c be (134/(-18))/(((-3)/(-9))/1). Let t = c + 143/6. Let -t*d**2 - 6*d + 0 = 0. Calculate d.
-4, 0
Let g be (-1 - (2 - (-365)/(-120)))*9. Factor 1/8*u**2 + 0 - g*u.
u*(u - 3)/8
Let i(k) be the third derivative of -2/13*k**3 + 0*k**5 - 23*k**2 - 7/156*k**4 + 0 + 0*k + 1/780*k**6. Suppose i(m) = 0. What is m?
-2, -1, 3
Let g(t) be the third derivative of -t**7/840 + 31*t**6/480 - 29*t**5/80 + 85*t**4/96 - 7*t**3/6 + 116*t**2. Factor g(o).
-(o - 28)*(o - 1)**3/4
Let k(o) be the third derivative of o**7/525 - 2*o**6/25 + 143*o**5/150 + 2*o**4/5 - 48*o**3/5 - o**2 + 7. Let k(x) = 0. What is x?
-1, 1, 12
Let 206*p**2 - 2*p**3 - 406*p + 190 - 68 + 80 = 0. What is p?
1, 101
Suppose -2 - 10 = -4*c. Let p(r) be the first derivative of 3 + 1/15*r**c + 1/25*r**5 + 1/10*r**4 + 0*r**2 + 0*r. What is s in p(s) = 0?
-1, 0
Solve 300 + 181*b**3 + 1612*b**3 - 1579*b**4 - 36*b**5 + 2376*b**2 - 1160*b**4 - 1796*b + 63*b**4 + 39*b**3 = 0 for b.
-75, -1, 1/3, 1
Factor 20/9*m**2 + 568/3 - 4268/9*m.
4*(m - 213)*(5*m - 2)/9
Suppose 54*b = 38 - 3 + 73. Factor -1/4*p**5 + 0*p + 3*p**4 - 9*p**3 + 0 + 0*p**b.
-p**3*(p - 6)**2/4
Suppose 6 = -4*m + 6*m. Factor -3 - 74*l**3 + 6*l - 1 + 72*l**m.
-2*(l - 1)**2*(l + 2)
Let t(l) = 8*l + 5. Let r be t(0). Suppose -r*c = 4*z + 12, -2*c = -17*z + 13*z - 12. Factor 2/21*k**2 + c + 4/21*k.
2*k*(k + 2)/21
Let f be (3/3 + 0)/((-2)/(-422)). Find s such that f*s**3 - 15 - 206*s**3 + 10*s**2 + 5*s**2 - 5*s = 0.
-3, -1, 1
Suppose 9*k**2 - 26*k**4 + 47*k**4 - 3*k - 18*k**4 - 9*k**3 = 0. What is k?
0, 1
Let c(n) = -7*n**4 + 38*n**3 - 95*n**2 - 340*n - 196. Let u(s) = 48*s**4 - 267*s**3 + 666*s**2 + 2379*s + 1371. Let z(l) = -27*c(l) - 4*u(l). Factor z(x).
-3*(x - 8)**2*(x + 1)**2
Factor 7/2*t**4 + 3*t**5 + 1/2*t**3 + 0*t + 0 + 0*t**2.
t**3*(t + 1)*(6*t + 1)/2
Suppose 0 = 2*p + p - 18. Let k be 4/(-1) - (-7)/1. Determine j, given that 1 + k - 7*j**2 - p*j + 3*j**2 = 0.
-2, 1/2
Let k = 1365 - 1363. Factor 16/11*m**3 + 2/11*m - 14/11*m**k + 0 + 32/11*m**4.
2*m*(m + 1)*(4*m - 1)**2/11
Factor 162/5 + 108*l**2 + 21/5*l**3 - 723/5*l.
3*(l - 1)*(l + 27)*(7*l - 2)/5
Let d(l) be the second derivative of l**5/5 + 2*l**4 - 10*l**3 - 200*l**2 + l - 192. Let d(u) = 0. What is u?
-5, 4
Let b(n) be the first derivative of 16 + 1/15*n**3 + 2/5*n**2 + 3/5*n. Solve b(f) = 0 for f.
-3, -1
Let g(x) = 7*x**2 + 24*x + 6. Let c(o) = 5*o**2 + 25*o + 4. Let n(m) = 3*c(m) - 2*g(m). What is b in n(b) = 0?
-27, 0
Let q(t) be the second derivative of -1/5*t**5 - t**2 - 11/6*t**3 + 0 - 9*t - 13/12*t**4. Factor q(h).
-(h + 1)*(h + 2)*(4*h + 1)
Suppose n + 0*n = 2. Factor 40*t**n + 71 - 26 + 105*t + 5*t**3 + 45.
5*(t + 2)*(t + 3)**2
Suppose 0 - 8/7*v**3 + 3/7*v**5 + 0*v - 12/7*v**2 + 17/7*v**4 = 0. What is v?
-6, -2/3, 0, 1
Let v = -2019 + 2022. Factor -4/5*b**2 + 2/5*b + 2/5*b**v + 0.
2*b*(b - 1)**2/5
Let c(i) be the second derivative of i**5/5 + 7*i**4 + 66*i**3 - 242*i**2 + 2*i + 8. Factor c(g).
4*(g - 1)*(g + 11)**2
Factor -32/7*k - 2/7*k**3 + 0 - 34/7*k**2.
-2*k*(k + 1)*(k + 16)/7
Let n(o) be the third derivative of 3/2*o**4 + 1/5*o**5 + 5*o - 1/30*o**6 + 10/3*o**3 + 2*o**2 + 0. Suppose n(x) = 0. Calculate x.
-1, 5
Let s(x) be the second derivative of -x**7/210 + x**6/30 - x**5/10 + x**4/6 - x**3/6 - 13*x**2 - 34*x. Let l(t) be the first derivative of s(t). Factor l(u).
-(u - 1)**4
Let f(x) be the first derivative of x**4/12 - 4*x**3/9 - 149. Let f(z) = 0. What is z?
0, 4
Let u(x) be the second derivative of x**4/84 - 41*x**3/21 - 2*x + 40. Factor u(v).
v*(v - 82)/7
Let q = 41737/7 - 5951. Suppose 0 = -5*b - 2 + 17. Determine a so that -38*a**2 - 32/7*a**5 - 8/7 - 338/7*a**b - 176/7*a**4 - q*a = 0.
-2, -1, -1/4
What is t in -15*t**3 - 9*t**4 - 3*t**2 - 9*t**4 + 2*t**4 + 4*t**4 = 0?
-1, -1/4, 0
Find v such that 5/3*v**2 + 40/3 - 7/3*v**3 + 142/3*v = 0.
-4, -2/7, 5
Let v(g) be the third derivative of g**9/3780 - g**8/560 + g**7/315 - g**4/24 - 10*g**2. Let j(b) be the second derivative of v(b). Solve j(z) = 0 for z.
0, 1, 2
Find w such that 1/2*w**2 - 68*w + 2312 = 0.
68
Factor -50*y**2 - 49*y**2 + 53045 + 151*y**2 + 1030*y - 47*y**2.
5*(y + 103)**2
Let h be (-2)/(-2) - (-58)/(-174). Find b such that 4/3 + h*b**2 - 2*b = 0.
1, 2
Find j, given that j**2 + 12 + 11 + 20 + 10*j - 3 + 3*j = 0.
-8, -5
Let g = 7 - 3. Let 74*p**3 + 144*p**5 - 12*p**2 - 231*p**g + 22*p**3 + 3*p**5 = 0. What is p?
0, 2/7, 1
What is j in -j**2 + 0 - 3*j**3 - 8 + 7*j**3 - 5*j**3 + 10*j = 0?
-4, 1, 2
Let w = 122 + -32. Let f be (-38)/(-9) - 20/w. Suppose -4 + 5 - f + 8*n - 8*n**2 + 1 = 0. Calculate n.
1/2
Let r(o) be the first derivative of -5/2*o**6 - 35/4*o**4 + 10*o**5 - 9 + 0*o - 20/3*o**3 + 10*o**2. What is b in r(b) = 0?
-2/3, 0, 1, 2
Factor -2/7*v**2 + 44/7*v - 80/7.
-2*(v - 20)*(v - 2)/7
Factor 0 + 12/7*y**4 + 8/7*y**2 + 0*y - 2/7*y**5 - 18/7*y**3.
-2*y**2*(y - 4)*(y - 1)**2/7
Suppose -13*n + 5*n + 104 = 0. Factor -48 - 14*d + 9*d**3 - n*d**3 + 46*d + 4*d**2.
-4*(d - 2)**2*(d + 3)
Let i be (24/(-20))/(6/(-30)). Let o(l) be the first derivative of -i*l**2 - 18*l + 4 - 2/3*l**3. Solve o(f) = 0 for f.
-3
Suppose 64*h = 193*h - 387. Determine s, given that 6/11*s**4 + 6/11*s**h - 12/11*s**2 + 0*s + 0 = 0.
-2, 0, 1
Let n be (-3)/18*8 + (-52)/(-12). Let 0*r - 26/7*r**n + 0 - 6/7*r**2 - 8/7*r**4 = 0. Calculate r.
-3, -1/4, 0
Suppose 0 = -3*t + 5*a + 27, -90*a = -2*t - 85*a + 23. Let 2/5*h**t + 0 + 0*h - 8/5*h**3 + 8/5*h**2 = 0. What is h?
0, 2
Let y(d) be the second derivative of -3*d**5/40 + 13*d**4/8 - 8*d**3 + 15*d**2 + 511*d. What is k in y(k) = 0?
1, 2, 10
Let x be ((-14)/(-6) + -5)/((-4)/6). Let -373 - 7*n**x - 3*n**3 + 373 + 4*n**4 = 0. What is n?
-1, 0
Let f(x) be the third derivative of -x**5/330 + 29*x**4/66 - 841*x**3/33 + 449*x**2. Factor f(u).
-2*(u - 29)**2/11
Let f(w) be the first derivative of -w**4/20 + 2*w**3/15 + 9*w**2/10 - 18*w/5 - 238. Suppose f(t) = 0. Calculate t.
-3, 2, 3
Let h(o) be the third derivative of -o**5/240 + o**4/48 + o**3/8 - 