*s + 2/9*s**3 - 2/9*s**l + 2/9 = 0. What is s?
-1, 1
Let n(q) be the second derivative of -q**5/90 - 17*q**4/54 + 2*q**3/3 + 13*q + 1. Factor n(k).
-2*k*(k - 1)*(k + 18)/9
Let z(a) be the first derivative of a**4/24 - 4*a**3/9 + 7*a**2/4 - 3*a + 132. Find m such that z(m) = 0.
2, 3
Let w(l) be the second derivative of -39*l**5/35 + 5*l**4/28 + l**3/7 - 5*l - 9. Find v such that w(v) = 0.
-2/13, 0, 1/4
Let n(b) = 33*b + 102. Let h be n(-3). Determine s so that -9/2*s + h + 3/2*s**2 = 0.
1, 2
Suppose -14 = -3*y + 5*i, 1 = -y - i + 3. Let l(o) be the first derivative of -12*o + 6*o**2 + 3 - o**y + 1 + 1. Factor l(s).
-3*(s - 2)**2
Let 204/5*j**2 + 3*j**3 + 192/5 - 564/5*j = 0. What is j?
-16, 2/5, 2
Let a(n) = 944*n - 468*n + 12 - 474*n. Let o be a(-6). Solve -i**5 + 0*i + 0*i**2 + o - 2/3*i**4 + 1/3*i**3 = 0.
-1, 0, 1/3
Suppose 105 = 2*t - 357. Let g = 231 - t. Find w, given that -3/8*w**2 + g + 3/8*w = 0.
0, 1
Suppose 49*q**3 + 13*q**2 - 158*q - 5*q**4 + 13*q - 4*q**3 + 90 + 2*q**2 = 0. Calculate q.
-2, 1, 9
Let a = 8888 + -62212/7. Let f be 40/15 + 2/(-3). Factor 8/7*b - 5/7*b**f - a + 1/7*b**3.
(b - 2)**2*(b - 1)/7
Let x be 127/7 - (27/21)/9. Determine c so that -x*c + 8*c**3 - 2*c**3 + 4*c**3 - 5*c**4 + 8*c + 5 = 0.
-1, 1
Suppose 8*o - 3*o + 5*c = 5, 0 = 2*o + 4*c. Suppose 0 = -h + 5*n - 18, 0*n - 16 = -o*h - 3*n. Factor 1/9*i**h + 0*i + 0 + 1/9*i**5 - 1/9*i**3 - 1/9*i**4.
i**2*(i - 1)**2*(i + 1)/9
Let g(s) be the first derivative of s**5/50 - 3*s**3/10 - s**2/5 + 6*s/5 + 290. Let g(y) = 0. What is y?
-2, 1, 3
Find l such that -16/9*l**2 + 10/9*l**3 - 2/9*l**4 + 8/9*l + 0 = 0.
0, 1, 2
Suppose 4*x - 10 + 2 = 2*a, -3*a = -4*x + 14. Let u be (-16)/(-72)*a/(-4). Factor 0*y + 0*y**2 - 1/3*y**4 + 0 + u*y**3.
-y**3*(y - 1)/3
Suppose 3*b - 5*x - 31 = 0, 2*x - 7*x - 23 = b. Suppose 5*d = -25, 4*s - 10 = b*s + 2*d. Solve -2/3*o**4 + 0 - 2*o**3 + s*o**2 + 8/3*o = 0 for o.
-2, 0, 1
Let v(t) be the third derivative of 7*t**7/120 - 119*t**6/480 + 3*t**5/40 + 11*t**4/24 + t**3/3 - 481*t**2. Factor v(u).
(u - 2)*(u - 1)*(7*u + 2)**2/4
Let i(s) = -s**2 + 2*s + 27. Let h(b) = -b**2 + 3*b + 26. Let x(v) = 3*h(v) - 2*i(v). Factor x(u).
-(u - 8)*(u + 3)
Suppose s - 4*i = 0, 4*s + 3 = 5*i + 14. Factor -5 - 7*m**3 + 5*m**s + 12*m + 0*m**4 - 3*m**3 - 2*m.
5*(m - 1)**3*(m + 1)
Determine j so that 6/5*j**2 - 4/5 - 2/5*j**4 + 2/5*j**3 - 2/5*j = 0.
-1, 1, 2
Let n(i) = -i + 6. Let r be n(4). Factor 4*y - 8*y - 11*y + 0*y - 5*y**r.
-5*y*(y + 3)
Let t = -1607 + 4825/3. Solve -g**2 - 4/3*g + t*g**3 + 1 = 0.
-1, 3/4, 1
Let v(d) be the first derivative of d**3 + 26 + 9/2*d**2 + 6*d. Determine c so that v(c) = 0.
-2, -1
What is n in 483/5*n**3 + 126/5*n**2 - 60*n + 72/5 - 15*n**5 - 18*n**4 = 0?
-3, -1, 2/5, 2
Suppose -4*t = -18*s + 10*s + 64, 17 = 4*t + s. What is k in 3/7*k**t - 3/7*k**3 + 0 + 0*k = 0?
0, 1
Solve 308*v**2 + 223 + 391*v - 3*v**3 - 2*v**3 + 85*v - 3*v**3 - 63 = 0.
-1, -1/2, 40
Let h(u) be the second derivative of -343*u**4 + 1/35*u**7 - 7/5*u**6 + 5*u + 0 + 147/5*u**5 + 2401*u**3 - 50421/5*u**2. Factor h(g).
6*(g - 7)**5/5
Factor 327 - 647 - p - 2*p**2 + 320 + 3*p**3.
p*(p - 1)*(3*p + 1)
Factor -28 - 90 + 238*o + 4*o**3 - 26*o**3 - 78 - 2*o**4 - 19*o**2 + o**2.
-2*(o - 2)*(o - 1)*(o + 7)**2
Factor -104/7 - 16*y**2 + 4/7*y**3 + 212/7*y.
4*(y - 26)*(y - 1)**2/7
Factor 108*a + 7 + 2*a**3 - 3*a**3 - 95*a + 5*a**2.
-(a - 7)*(a + 1)**2
Let j be 6*21/252*1. Factor -j + 3/4*i**2 - 1/4*i.
(i - 1)*(3*i + 2)/4
Suppose 0 + 18*w**2 + 5*w**4 + 1 - 30*w**3 - 1 + 22*w**2 = 0. What is w?
0, 2, 4
Let w(u) be the second derivative of -u**6/300 - 3*u**5/100 + u**4/5 - 8*u**3/3 - 4*u. Let q(s) be the second derivative of w(s). Find m such that q(m) = 0.
-4, 1
Solve 14/5*v**2 + 2/5*v**4 - 18/5*v**3 - 16/5 + 18/5*v = 0 for v.
-1, 1, 8
Solve 0 + 0*z - 9/4*z**2 + 3*z**3 - 3/4*z**4 = 0.
0, 1, 3
Let z = -5387 - -5391. Let -15*q**2 - 5/3*q**z - 10/3 + 35/3*q + 25/3*q**3 = 0. What is q?
1, 2
Let o(x) = x**2 - 2*x - 5. Let v(s) = 3*s**2 - 9*s - 21. Suppose 8*g - 65 = 7. Let c(p) = g*o(p) - 2*v(p). Factor c(a).
3*(a - 1)*(a + 1)
Let u = 2/17499 + 69982/122493. Suppose -1/7*w**3 + 5/7*w**2 - u*w + 0 = 0. What is w?
0, 1, 4
Suppose 2*i - 2*v - 2*v = -10, v - 48 = 4*i. Let c be (1/2)/(i/(-130)). Suppose -2/7*y**c + 0 - 8/7*y**4 - 2/7*y - 8/7*y**2 - 12/7*y**3 = 0. What is y?
-1, 0
Factor -40*h**2 - 95*h - 38202 + 38142 - 3*h**3 - 2*h**3.
-5*(h + 1)*(h + 3)*(h + 4)
Let r(a) be the second derivative of a**7/105 + a**6/75 - 2*a + 1. Let r(i) = 0. What is i?
-1, 0
Let z be 1*185/105 - 9/21. Find j, given that -13/6*j + 1 + z*j**2 - 1/6*j**3 = 0.
1, 6
Factor -64*j + 7311 - 7567 - 3*j**2 - j**2.
-4*(j + 8)**2
Let l(a) be the third derivative of a**7/490 + a**6/70 - 11*a**5/140 - 15*a**4/28 - 107*a**2 - 2. Factor l(i).
3*i*(i - 3)*(i + 2)*(i + 5)/7
Let o(i) be the third derivative of i**8/672 + i**7/420 - i**6/240 - i**5/120 - 42*i**2. Factor o(j).
j**2*(j - 1)*(j + 1)**2/2
Let l = 2966/5 - 593. Let j(g) be the first derivative of -g**3 - 1/2*g**2 - 3/4*g**4 - 3 + 0*g - l*g**5. Factor j(u).
-u*(u + 1)**3
Let b(a) = 9*a**3 + a**2 + 2*a + 2. Let f be b(-1). Let u be f*(1 + 3/(-2)). Factor -10*n**3 + u*n**3 + 3*n**3 + 3*n**2.
-3*n**2*(n - 1)
Let a be 3/(-7) - 2185/(-1995). Let -4/3*k**2 + a*k**3 + 0 + 0*k = 0. What is k?
0, 2
Let s be (-14)/(-12)*102/357. Factor -1/3*a**2 + s*a**3 - 1/3*a + 0 + 1/3*a**4.
a*(a - 1)*(a + 1)**2/3
Let z be (-4)/(-18) - 16/(-9). Suppose -4*t**3 - 3*t + 2*t + 10*t**z + 2 - 6 - t = 0. What is t?
-1/2, 1, 2
Let g(x) = -2*x - 2. Let p be g(-3). Find m such that 65*m**3 + 5*m**4 - 23*m - 224*m**2 - 41*m + 59*m**3 - 21*m**p = 0.
-1/4, 0, 4
Let l(n) be the second derivative of n**4/6 + 8*n**3 + 80*n**2 + n - 22. Factor l(y).
2*(y + 4)*(y + 20)
Find y, given that 128*y - 529/6*y**5 - 7295/6*y**3 + 6 + 3611/6*y**4 + 3409/6*y**2 = 0.
-2/23, 1, 3
Let v(d) be the first derivative of d**5/25 + 2*d**4/5 - 3*d**3/5 - 54*d**2/5 + 108*d/5 - 77. Solve v(l) = 0 for l.
-6, 1, 3
Let f(r) be the first derivative of 10*r**6/39 + 142*r**5/65 + 50*r**4/13 - 74*r**3/39 - 56*r**2/13 + 40*r/13 - 243. Solve f(u) = 0 for u.
-5, -2, -1, 2/5, 1/2
Factor 30*b + 40*b + 40 + 27*b - 52*b + 5*b**2.
5*(b + 1)*(b + 8)
Let l(b) = b**2 - 113*b - 464. Let p be l(-4). Let -2/3*f**3 - 2/3 + 1/3*f**5 - 7/3*f + 2/3*f**p - 8/3*f**2 = 0. What is f?
-1, 2
Let y(i) = -i**3 - i - 1. Let s(d) be the first derivative of -5/4*d**4 - 6 - 3*d**3 - 5*d - 11/2*d**2. Let k(w) = s(w) - 2*y(w). Suppose k(l) = 0. Calculate l.
-1
Let b(q) be the second derivative of q**4/30 - 7*q**3/15 - 8*q**2/5 - 46*q. What is r in b(r) = 0?
-1, 8
Factor -98/15 - 2/15*x**2 - 28/15*x.
-2*(x + 7)**2/15
Let b be (-40)/14*72/(-90). Factor 0 + 4/7*j**3 + 16/7*j + b*j**2.
4*j*(j + 2)**2/7
Let s = 829 - 1213. Let o be (-50)/(-4)*s/(-176). Factor o*j**2 + 250/11*j**3 + 120/11*j + 16/11.
2*(5*j + 2)**3/11
Let o(s) = s**3 - 10*s**2 + 7*s + 21. Let h be 15 + 2*(-7 - -4). Let c be o(h). What is a in 0 + 0*a + 0*a**2 - 3/5*a**4 + 3/5*a**c = 0?
0, 1
Let p(r) be the first derivative of -r**7/735 - r**6/105 - r**5/70 + 41*r**2/2 - 43. Let k(j) be the second derivative of p(j). Solve k(v) = 0.
-3, -1, 0
Let h be (-28)/(-510)*(-156)/48. Let j = -1/85 - h. Let 3/2 - 4/3*q**3 - 4*q + 11/3*q**2 + j*q**4 = 0. What is q?
1, 3
Factor -37*f + 4*f**2 - 11*f - 3723 + 3611.
4*(f - 14)*(f + 2)
Let j(h) be the third derivative of -7*h**6/120 + 2*h**5/5 - 23*h**4/24 + h**3 + 288*h**2. Factor j(o).
-(o - 2)*(o - 1)*(7*o - 3)
Let v be 34/85 + (-53)/(-5). Suppose v*f = 10*f + 6. Solve b + f*b - 4*b**2 + 5*b = 0 for b.
0, 3
Let k(o) be the second derivative of -o**5/20 + 39*o**4/4 - 1521*o**3/2 + 59319*o**2/2 - 2*o + 258. Determine p, given that k(p) = 0.
39
Find g, given that -4/5*g**3 - 11532/5*g - 372/5*g**2 - 119164/5 = 0.
-31
Factor 0 + 6/13*n**3 + 0*n**2 - 2/13*n**4 + 0*n.
-2*n**3*(n - 3)/13
Let l be (2 - 2 - (2 - 1))/((-30)/18). Determine q, given that l*q**2 + 0 + 6/5*q = 0.
-2, 0
What is q in 49/2*q - 22*q**2 - 9 + 13/2*q**3 = 0?
1, 18/13
Let g be 19/7 + (-16)/(-56). Suppose 39*f + g = 40*f. Suppose -2/3*y**2 + 2/3*y**4 + 2/3*y**f + 0*y + 0 - 2/3*y**5 = 0. Calculate y.
-1, 0, 1
Let w be (-4)/(-8) + ((-24)/276)/((-4)/(-19)). Determine q, given that -10/23 + w*q**3 - 6/23*q*