i - 3/5*i**3 = 0. Calculate i.
-2, 0, 5
Let k(j) be the third derivative of -1/120*j**6 + 0*j - 83*j**2 + 1/2352*j**8 - 1/1470*j**7 + 1/420*j**5 + 0 + 0*j**3 + 1/28*j**4. Solve k(n) = 0 for n.
-2, -1, 0, 1, 3
Let z be (-28270)/55*(-2)/(3 - 1). Suppose -508*y**2 - z*y**2 + 1034*y**2 + 2*y**3 - 14*y = 0. Calculate y.
-7, 0, 1
Let y(t) be the first derivative of -11*t**5 + 410*t**4 - 3420*t**3 - 15040*t**2 - 5120*t + 1382. Find i such that y(i) = 0.
-2, -2/11, 16
Let j(w) be the first derivative of 3*w**2 + 1/2*w**4 + 17 - 10/3*w**3 + 2/5*w**5 + 0*w. Solve j(v) = 0 for v.
-3, 0, 1
Factor 234 + 5*k**3 - 100*k**2 + 337 - 18 + 65*k + 187 - 170.
5*(k - 19)*(k - 3)*(k + 2)
Let r = 55 + 138. Let s = r - 189. Suppose 1/4*g**5 - 1/2*g**s + 0 + 0*g**2 - 3/4*g**3 + 0*g = 0. Calculate g.
-1, 0, 3
Let n(s) be the first derivative of -2/3*s**3 - 15 + 6/5*s**5 + 2*s**4 - 9/2*s**2 - 4*s + 1/6*s**6. Factor n(c).
(c - 1)*(c + 1)**3*(c + 4)
Let -30*y + 7/4*y**4 + 7*y**3 + 1/8*y**5 - 36 + 2*y**2 = 0. What is y?
-6, -2, 2
Let k(l) be the second derivative of -3*l**4/4 - 19*l**3 + 423*l**2/2 - 1673*l. Factor k(o).
-3*(o - 3)*(3*o + 47)
Determine d so that 14/19*d**2 - 130/19*d - 264/19 = 0.
-12/7, 11
Let g be (-3 + (-8)/(-2))*1. Let z = 4 + g. Factor -10*c**2 + 6*c**2 + 4*c**4 - c - c + 2*c**z.
2*c*(c - 1)*(c + 1)**3
Let l(x) be the second derivative of x**6/30 - 81*x**5/10 + 6229*x**4/12 + 4482*x**3 + 13778*x**2 + 711*x. Find i such that l(i) = 0.
-2, 83
Let w(i) be the first derivative of 21/4*i**4 + 29 + 30*i**2 - 12*i - 23*i**3. Factor w(s).
3*(s - 2)*(s - 1)*(7*s - 2)
Let h be (-44)/(-10) + (-8844)/3685. Factor 92/11*w**h + 2/11*w**4 + 120/11*w + 50/11 + 24/11*w**3.
2*(w + 1)**2*(w + 5)**2/11
Suppose 171*j + 71*j + 97*j - 31*j - 98*j - 638 + 8*j**2 = 0. Calculate j.
-29, 11/4
Let y be (176/806 - 20/(-1430)*-11) + 18178/4619. Determine n so that 1/8*n**y + 9/2 + 15/2*n + 13/8*n**2 - 5/4*n**3 = 0.
-1, 6
Suppose -1352/3*t - 344/3*t**2 - 448 - 2/3*t**3 = 0. Calculate t.
-168, -2
Let f(b) = 7*b**2 - 6*b - 81. Let a(m) = -13*m**2 + 11*m + 162. Let q(p) = 6*a(p) + 11*f(p). Suppose q(w) = 0. What is w?
-9, 9
Let v(x) = -9*x + 11*x**2 + 17520 - 17520. Let r be (-2)/(-3*2/(-3)). Let f(p) = p**2 - p + 1. Let c(u) = r*v(u) + 2*f(u). Factor c(b).
-(b - 1)*(9*b + 2)
Solve 16/5*s + 27/5*s**2 + 1/5*s**4 - 16/5*s**3 - 28/5 = 0.
-1, 1, 2, 14
Let y be 27625/51 - 2/(-6). Factor 32*j + 8*j**2 + 447 - 1117 + y - 2*j**3.
-2*(j - 4)**2*(j + 4)
Suppose -3*h + 4 - 9 = 2*u, -2*u - h + 1 = 0. Determine q, given that 11*q**2 + 14*q**3 - 103*q + 15*q**u + 99*q = 0.
-2, 0, 1/7
Let o(b) be the second derivative of b**7/14 + 27*b**6/5 + 3267*b**5/20 + 2430*b**4 + 16200*b**3 + 5038*b. Find r, given that o(r) = 0.
-15, -12, 0
Factor -105 - 213/2*g - 3/2*g**2.
-3*(g + 1)*(g + 70)/2
Find f, given that 24*f**3 - 18*f**2 + 0 + 43/2*f**4 + 9/2*f**5 - 32*f = 0.
-2, -16/9, 0, 1
Let q(a) be the third derivative of a**5/120 - 1045*a**4/48 - 523*a**3/6 - 2*a**2 + 6*a - 5. Suppose q(g) = 0. What is g?
-1, 1046
Let z(o) be the second derivative of -o**4/6 - 133*o**3/3 - 262*o**2 + 161*o - 11. Factor z(v).
-2*(v + 2)*(v + 131)
Let j(m) be the second derivative of 2*m**6/15 - 18*m**5/5 + 12*m**4 + 836*m**3/3 + 726*m**2 - 407*m. Factor j(f).
4*(f - 11)**2*(f + 1)*(f + 3)
Let f(k) = -222*k**2 + 9609*k - 9621. Let o(w) = 99*w**2 - 4805*w + 4810. Let h(u) = 4*f(u) + 9*o(u). Solve h(c) = 0 for c.
1, 1602
Let a(f) be the third derivative of -f**8/336 + 7*f**6/60 + f**5/5 - 13*f**4/24 - 2*f**3 - 11363*f**2. Solve a(b) = 0.
-3, -1, 1, 4
Let j(u) be the first derivative of -51 + 1/5*u**3 + 0*u - 21/5*u**2. Find b, given that j(b) = 0.
0, 14
Factor 44*h + 132 + 47 - 23 - 28*h**2 - 2*h**3 - 2*h + 24.
-2*(h - 3)*(h + 2)*(h + 15)
Let y = 8551 + -76954/9. Let h(k) be the second derivative of 0 + 4/27*k**3 + 21*k + 1/54*k**4 - y*k**2. Solve h(i) = 0.
-5, 1
Let i(j) = -2*j**2 + 8*j - 2. Let c(y) = -11*y**2 - 4318*y - 4748051. Let a(b) = 2*c(b) - 10*i(b). Factor a(g).
-2*(g + 2179)**2
Let w(a) be the first derivative of -a**6/1440 - 3*a**5/160 - 3*a**4/16 - 70*a**3/3 + 136. Let x(u) be the third derivative of w(u). Factor x(v).
-(v + 3)*(v + 6)/4
Suppose 0*l + 60 = 4*l. Let u = l - 8. What is r in -5*r**3 - 4*r**2 + 20*r**2 - 23*r + 9*r**2 - u*r = 0?
0, 2, 3
Let x(o) be the first derivative of -o**3/12 + 849*o**2/4 - 720801*o/4 + 2620. Determine r, given that x(r) = 0.
849
Suppose -81*n = -79*n - 4. Factor 7*x**n + 2268*x**3 - 14 + x**2 + 5*x - 2267*x**3.
(x - 1)*(x + 2)*(x + 7)
Let y(d) be the second derivative of d**5/4 - 245*d**4/48 + 65*d**3/2 - 45*d**2/2 + 489*d + 1. Factor y(c).
5*(c - 6)**2*(4*c - 1)/4
Let h(t) be the first derivative of 4/25*t**5 - 112 - 2/15*t**6 + 0*t + 4/5*t**3 + t**4 + 0*t**2. What is q in h(q) = 0?
-1, 0, 3
Let r(s) be the first derivative of -10*s - 7/2*s**2 - 1/3*s**3 + 84. Factor r(n).
-(n + 2)*(n + 5)
Let j(l) be the first derivative of -l**3/21 + 755*l**2/7 - 570025*l/7 + 553. Suppose j(s) = 0. Calculate s.
755
Let j(r) be the first derivative of r**6/3 - 22*r**5/5 + 21*r**4 - 128*r**3/3 + 32*r**2 + 8408. Let j(a) = 0. Calculate a.
0, 1, 2, 4
Let i be 0 + 6/66*2. Suppose -1891*u + 1896*u - 37 = -d, 2*d + 24 = 4*u. Find o, given that -2/11 + 2/11*o**d - i*o + 2/11*o**3 = 0.
-1, 1
Let i = 1367897/45220 - -2/11305. Suppose 1/4*q**3 - 21/4*q**2 + 99/4*q + i = 0. What is q?
-1, 11
Let x = 5167 - 5165. Let g(u) be the first derivative of 10/3*u**3 + 0*u + 0*u**x + 4 + 15/4*u**4 + u**5. Factor g(j).
5*j**2*(j + 1)*(j + 2)
Let d(y) be the second derivative of y**6/3240 + y**5/540 - y**4/72 + 31*y**3/3 + 39*y. Let f(s) be the second derivative of d(s). Factor f(b).
(b - 1)*(b + 3)/9
Suppose 6*z - 30 = -4*z. Suppose -30 = -3*d + 3*b, 3*d - 32 = 2*b + z*b. Factor -944 + d*s**3 + 944 - 3*s**5 - 6*s**2.
-3*s**2*(s - 1)**2*(s + 2)
Let x(s) be the second derivative of -9/5*s**6 + 45/14*s**7 - 9 + 20*s**4 + 40*s**3 - 48*s**2 + s - 30*s**5. What is k in x(k) = 0?
-2, -2/3, 2/5, 2/3, 2
Let d = -589 + 272. Let k = d + 319. Factor 3/8*w - 9/4 + 3/8*w**k.
3*(w - 2)*(w + 3)/8
Determine n so that -5*n**3 + 33/2 - 1/2*n**4 + 8*n**2 + 29*n = 0.
-11, -1, 3
Suppose -3*x + f + f + 16 = 0, 5*f + 25 = 5*x. Let o be -2 + (x - 9 - 17/(-3)). Let -2*z**3 + 2*z - 4/3 + 2/3*z**2 + o*z**4 = 0. Calculate z.
-1, 1, 2
Let g = -18969/4 + 9485/2. Solve 5/2*o + 0 - g*o**2 = 0 for o.
0, 10
Let v(p) = -3*p - 7. Let w(u) = -2*u - 3. Let d(a) = -3*v(a) + 5*w(a). Let i be d(4). Factor -3*c**4 - 3*c**2 - 27*c + 15*c**3 - i*c**2 - 4*c**2.
-3*c*(c - 3)**2*(c + 1)
Suppose -3*j + 2*o + 40 = 0, 0 = 238*o - 243*o - 85. Find n such that -4/7 - 4/7*n + 13/7*n**j - 5/7*n**3 = 0.
-2/5, 1, 2
Let p = -36 + 48. Let w be 6*15/p*(-8)/(-20). Find u, given that -30*u**2 + w + 8*u + 5*u**4 - 12 - 48*u - 6 = 0.
-1, 3
Let w = -739052/7 - -105918. Let o = w + -339. Factor 0*n - 4/7 + o*n**2.
(n - 2)*(n + 2)/7
Let w(d) be the first derivative of -2*d**3/15 + 73*d**2/5 + 456*d/5 - 2490. Factor w(g).
-2*(g - 76)*(g + 3)/5
Let z = -808931/36 + 22476. Let m = 25/4 - z. Factor m*k**2 + 2/9*k**3 + 1/9*k - 2/9.
(k + 1)*(k + 2)*(2*k - 1)/9
Let s(w) be the first derivative of w**3/15 + 3*w**2/10 - 18*w/5 - 559. Factor s(l).
(l - 3)*(l + 6)/5
Let m = 36600/73 + -326042/657. What is y in -10/3*y**3 - 1/9*y**5 + 1 + m*y**2 + y**4 - 11/3*y = 0?
1, 3
Let q(h) = 4*h - 34. Let j be q(9). Solve -2*z**3 - 4*z - 17*z**j + 12*z**2 + 11*z**2 = 0.
0, 1, 2
Let i(p) be the first derivative of p**4/78 - 2*p**3/13 + 8*p**2/13 - 79*p + 78. Let b(r) be the first derivative of i(r). Find o such that b(o) = 0.
2, 4
Let q(m) be the third derivative of m**7/210 + m**6/40 - 8*m**5/3 + 61*m**4/2 - 96*m**3 - 3364*m**2. Factor q(f).
(f - 6)**2*(f - 1)*(f + 16)
Let f(r) be the second derivative of -r**4/32 - 111*r**3/8 + 84*r**2 - 4388*r. What is l in f(l) = 0?
-224, 2
Suppose 75*t - 72*t = 36. Suppose 4*l - t = -4*f, 4*l - 3*f = 5 + 7. Factor 2/7*x**l - 8/7 + 2/7*x**2 - 8/7*x.
2*(x - 2)*(x + 1)*(x + 2)/7
Let b be (0/(-2))/(-9 + 10). Let d(m) be the second derivative of 0 - 4/7*m**4 - 1/35*m**6 + b*m**2 - 4/7*m**3 + 26*m - 3/14*m**5. Factor d(l).
-6*l*(l + 1)*(l + 2)**2/7
Let k(l) = -l**3 - 3*l**2 + 4*l + 11. Let b be k(-3). Let p be b - ((-9)/(9/(-2)) + -3). What is h in 1/5*h**3 + 0*h**2 + p