*5 + 1/15*s**6. Let y(j) = 0. What is j?
-1, 0, 1
Let z = 2323761/9295012 - 2/2323753. Factor 15/4*w**3 + 0 + 0*w + z*w**4 - 17/2*w**2.
w**2*(w - 2)*(w + 17)/4
Suppose -20 = -2*a - 2*g, -9*g = -4*a - 5*g + 40. Determine d, given that 13 - 13 - d**2 + 3*d**2 + a*d - 3*d**2 = 0.
0, 10
Solve 4277*t + 1774*t - 1047*t - 3130002 - 2*t**2 = 0 for t.
1251
Solve -80/13*p - 2/13*p**2 - 800/13 = 0 for p.
-20
Let n be 10 + (-2 + -3)*1. Let d be 2*2/(-10) - (-167)/n. Factor -d*i**2 + 16*i**3 - 36*i + 108 - 33*i**3 + 23*i**3 + 3*i**4.
3*(i - 2)**2*(i + 3)**2
Let p be (1/4)/(6*8/1248)*2. Let y(u) be the first derivative of 2/5*u**2 - 2/15*u**3 - p - 2/5*u. Determine r, given that y(r) = 0.
1
Factor 1336/3*j - 446 + 2/3*j**2.
2*(j - 1)*(j + 669)/3
Let w(a) = a**2 + a - 14. Let j be w(3). Let t be j/17 + (-45)/51 + 3. Solve -8/11 + 134/11*b**t + 126/11*b**3 + 0*b = 0 for b.
-1, -2/7, 2/9
Suppose -40*u + 38*u + 6260 = 4*k, -3*u + 3122 = 2*k. Let p = -1563 + k. Find g such that -1/8*g**2 - 3/8*g + 1/4*g**p + 3/8*g**3 - 1/8 = 0.
-1, -1/2, 1
Let l(o) be the second derivative of o**6/15 + 6*o**5/5 + 3*o**4/2 - 54*o**3 - 4*o + 26. Solve l(f) = 0 for f.
-9, -6, 0, 3
Let y = 5801 + -5798. Let w be 8/(-10) + 2 + 2178/60. Factor 9*h + 7/2*h**4 + 22*h**y + 0 + w*h**2.
h*(h + 3)**2*(7*h + 2)/2
Let s = 613 - 609. Let v(q) be the first derivative of 1/25*q**5 - 1/2*q**2 + 0*q + 50 - 3/20*q**s - 3/5*q**3. Factor v(k).
k*(k - 5)*(k + 1)**2/5
Solve -118/3*d + 2/3*d**4 - 122/3*d**2 + 118/3*d**3 + 40 = 0.
-60, -1, 1
Suppose -173*f + 121 + 352 = -219. Let p(s) be the second derivative of -5*s + 1/27*s**3 + 0 + 1/90*s**5 + 0*s**2 + 1/27*s**f. Factor p(n).
2*n*(n + 1)**2/9
Let c = 17 - 14. Let r(h) = 2*h**2 - 5*h + 7. Let m be r(c). Determine w so that w + 4*w - 5*w**2 + m*w**2 + 0*w = 0.
-1, 0
Let s(o) be the second derivative of -9*o**2 + 1/40*o**5 + 1/12*o**4 - 17 - 2*o - 5/4*o**3. Let s(a) = 0. Calculate a.
-3, 4
Let j(g) be the second derivative of 1/42*g**7 - 19/12*g**4 + 0*g**2 + 21/20*g**5 - 3/10*g**6 + g**3 + 311*g + 0. Let j(d) = 0. Calculate d.
0, 1, 6
Let t = 29122 + -29118. Solve -8/3*w + t + 1/3*w**2 = 0.
2, 6
Let n(q) = 13*q**2 + 15766*q - 15734. Let p(b) = 2*b**2 + 2252*b - 2248. Let j(y) = 2*n(y) - 15*p(y). Factor j(c).
-4*(c - 1)*(c + 563)
Let k(v) be the second derivative of 3*v**5/160 - 3*v**4/32 - 9*v**3/16 + 81*v**2/16 + 726*v. Factor k(i).
3*(i - 3)**2*(i + 3)/8
Let m(b) = 6*b**3 - 4*b**2 - 14*b + 36. Let w(x) = 4*x**3 - 3*x**2 - 10*x + 24. Suppose i - 16 = -11. Let v(j) = i*m(j) - 8*w(j). Factor v(f).
-2*(f - 3)*(f - 1)*(f + 2)
Solve 5614*n**3 - 294*n**4 - 12 + 1550/3*n - 17474/3*n**2 = 0 for n.
1/21, 1, 18
Let s(t) be the first derivative of -t**6/6 + 128*t**5/15 - 1277*t**4/12 - 1892*t**3/9 - 242*t**2/3 + 8430. What is q in s(q) = 0?
-1, -1/3, 0, 22
Let k be (1478 - -1 - 0)/((-114)/114). Let h = k + 1482. Solve -6/7*b**h - 2/7*b**5 + 16/7*b - 26/7*b**2 + 10/7*b**4 + 24/7 = 0 for b.
-1, 2, 3
Factor 1502*l + 1/2*l**2 + 1128002.
(l + 1502)**2/2
Let o(j) = -2*j**3 - 23*j**2 + 135*j - 174. Let q(a) = a**3 - a - 2. Let i(p) = 2*o(p) + 6*q(p). Factor i(w).
2*(w - 15)*(w - 6)*(w - 2)
Let r be ((-6)/(-7) - 288/168)*14/(-3). Suppose 1/3*h**3 + 5/3*h**2 - r - 8/3*h = 0. What is h?
-6, -1, 2
Let h(a) be the second derivative of 2*a**6/5 + 8*a**5/5 - 2*a**4 - 16*a**3/3 + 6*a**2 - 6*a + 178. Let h(g) = 0. Calculate g.
-3, -1, 1/3, 1
Let l = -347220 + 347220. Suppose -16*y - 98/3*y**2 - 52/3*y**3 + l - 2/3*y**4 = 0. What is y?
-24, -1, 0
Let h(a) = -18*a**4 - 31*a**3 + 35*a**2 + 60*a - 54. Let d(f) = 10*f**4 + 16*f**3 - 18*f**2 - 32*f + 28. Let w(p) = -11*d(p) - 6*h(p). Factor w(q).
-2*(q - 2)**3*(q + 1)
Suppose -26 = -29*l + 32. Solve -608*v - 8 - 860*v**2 - 4 + 163*v - 107*v**3 - 318*v**3 + l = 0.
-1, -2/85
Let f(g) be the third derivative of 43*g**7/560 - 131*g**6/320 + 23*g**5/40 - g**4/16 - g**2 + 102*g + 5. What is j in f(j) = 0?
0, 2/43, 1, 2
Let u = 646 + -351. Let a = u - 1471/5. Solve -a*r**2 + 0*r - 4/5*r**3 + 0 = 0 for r.
-1, 0
Suppose -35 - 40 = -25*o. Factor -2/15*c**2 - 2/15*c**o + 0 + 2/15*c + 2/15*c**4.
2*c*(c - 1)**2*(c + 1)/15
Find u, given that -326/19*u + 280/19 + 44/19*u**2 + 2/19*u**3 = 0.
-28, 1, 5
Let a(m) be the second derivative of -3*m**7/56 - m**6/10 + 3*m**5/40 + m**4/4 + m**3/8 - 2227*m. Let a(k) = 0. What is k?
-1, -1/3, 0, 1
Suppose f + 2*d + 16 = 0, 9 = -2*f + 2*d + 1. Let s(y) = 4*y + 35. Let k be s(f). Find m, given that 12 - 3*m**3 - 20 - k*m**2 + 8 = 0.
-1, 0
Suppose 2*b - 56 + 9 = -5*c, b - 5*c + 14 = 0. Factor 9*p**4 + b*p**4 + 50*p**2 + 42*p**2 + 41*p**2 - 35*p**3 - 118*p**2.
5*p**2*(p - 1)*(4*p - 3)
Let t(o) = o**3 - 103*o**2 + 334*o - 3400. Let d be t(100). Determine l, given that -6*l**2 - 9/2*l**3 + d + 3/2*l**4 + 0*l = 0.
-1, 0, 4
Find v, given that -36*v**4 - 74*v**2 + 218*v**2 + 6401*v**3 - 6452*v**3 + 3*v**5 + 156*v = 0.
-2, -1, 0, 2, 13
Suppose -7*m + 251 = 55. Suppose 36*t - m*t = 24. Factor 3/4*d**t - 3/4*d - 3/2 + 3/2*d**2.
3*(d - 1)*(d + 1)*(d + 2)/4
Let p(q) be the first derivative of 2*q**5/35 + 13*q**4/7 - 16*q**3/3 - 464. What is k in p(k) = 0?
-28, 0, 2
Let d = -1/2280 - -211/47880. Let i(c) be the third derivative of -1/18*c**6 + 25/18*c**4 + 0 - 11*c**2 - d*c**7 + 0*c - 1/12*c**5 - 125/36*c**3. Factor i(y).
-5*(y - 1)**2*(y + 5)**2/6
Let g(p) be the second derivative of 1/3*p**3 + 1/9*p**4 + 141*p + 1/90*p**5 + 0 + 0*p**2. Factor g(t).
2*t*(t + 3)**2/9
Suppose -3*t - 23*t = 26*t - 260. Suppose -1/2*q**t - 1/2*q**2 + 0 + 0*q + 1/2*q**4 + 1/2*q**3 = 0. What is q?
-1, 0, 1
Let z(i) = 173*i + 5711. Let m be z(-33). Determine p, given that 36/11*p + 2/11*p**m + 64/11 = 0.
-16, -2
Let z(f) = -f**3 + 24*f**2 + 22*f + 25. Let s be z(25). Let p be 25/s*2/(-6). Find w, given that 0 + 1/2*w + p*w**2 = 0.
-3, 0
Let x = 78851/10 - 7885. Let t(y) be the second derivative of -13/4*y**4 - 6*y**2 - 6*y**3 - x*y**6 - 9/10*y**5 + 0 + 27*y. Factor t(h).
-3*(h + 1)**2*(h + 2)**2
Suppose 31 - 25 = 2*z. Suppose 25*t - 7*t - 58 = -11*t. Determine w so that -12/5*w**z + 12/5*w - 18/5 + 2/5*w**4 + 16/5*w**t = 0.
-1, 1, 3
Let a = 613 - 609. Suppose a*h + 7 - 15 = -4*c, 4 = 2*h. Factor c - 1/3*l**3 + 4/3*l**2 - l.
-l*(l - 3)*(l - 1)/3
Suppose 7 = r - n, 14*n = -r + 19*n + 23. Let 8 + 5*m**3 - 14*m - 213*m**2 - 3*m**r + 217*m**2 = 0. Calculate m.
-4, 1
Let f(x) be the first derivative of 3/2*x**2 - 8 - 3/4*x**4 - 3/5*x**5 + 0*x + x**3. Factor f(u).
-3*u*(u - 1)*(u + 1)**2
Let c(q) = -q**2 + 19*q + 79. Let p be c(19). Let z = 82 - p. Solve -12*b - 16 - 3*b**2 - 1/4*b**z = 0.
-4
Let z(y) be the third derivative of -y**8/84 + 2*y**7/35 + 7*y**6/6 + 3*y**5 - 17*y**4/3 - 32*y**3 + 1265*y**2. Solve z(g) = 0.
-3, -2, -1, 1, 8
Let h = -1346789/17 + 79223. Factor 20/17*l - h*l**3 + 18/17*l**2 + 0.
-2*l*(l - 10)*(l + 1)/17
Suppose -5 = -6*h + 7. Let u be -1 - ((-1)/2*h)/1. Determine w, given that 4*w**2 + u - 2/3*w**3 - 10/3*w = 0.
0, 1, 5
Find h such that 14/5*h + 0 + 1/5*h**3 - 9/5*h**2 = 0.
0, 2, 7
Let i(u) be the first derivative of -2*u**6 - 32*u**5 - 104*u**4 + 520*u**3/3 + 214*u**2 - 360*u - 3946. Let i(t) = 0. What is t?
-9, -5, -1, 2/3, 1
Suppose f - 37 = -2*q, -2*q + 15 = 3*f - 24. Let x(m) be the first derivative of 1/8*m**4 + 0*m + 1/4*m**2 - 5/9*m**3 + q. Solve x(b) = 0 for b.
0, 1/3, 3
Let n = 775192 + -775190. Let r be 3 + -6 + 1 + 4. Find u, given that -r*u - 2/7*u**n - 24/7 = 0.
-4, -3
Let c(t) be the first derivative of -t**6/2700 - t**5/90 - 5*t**4/36 + 44*t**3/3 + 74. Let q(r) be the third derivative of c(r). What is w in q(w) = 0?
-5
Let v be 17/(-4) + 8675/1388. Solve 2/13*m**v - 22/13 - 20/13*m = 0.
-1, 11
Let s(v) be the third derivative of v**8/20160 - v**7/105 + 4*v**6/5 + 7*v**5/5 - 35*v**2. Let j(h) be the third derivative of s(h). What is z in j(z) = 0?
24
Let q be (846/1457)/9 - (-700)/682. Factor 10/11 + 2/11*v**2 - q*v.
2*(v - 5)*(v - 1)/11
Let m(f) be the second derivative of -1/30*f**6 + 1/6*f**3 + 1/42*f**7 - 1/2*f**2 - 1/10*f**5 + 7 + f + 1/6*f**4. Let m(a) = 0. Calculate a.
-1, 1
Let l(z) be the third derivative of z**4/6 - 5*z**3/2 - 6*z**2. Let d be l(5). Factor -5 + d + i + i**2 - 2.
(i - 1)*(i + 2)
Suppose 4*r = -c + 1541, -3*r + 830 + 347 = 5*c. Determine d so that 6*d**5 + 12*d**4 + 33*d**4 - r*d + 384