(o - 4)**2*(o - 2)**2
Suppose -4*m - 12 = -6*m + 3*u, -4*m + 2*u + 8 = 0. What is v in -3/4*v**3 + 0 + 0*v**2 - 1/4*v**4 + m*v = 0?
-3, 0
Factor 1019*q**2 + 981 - 1014*q**2 - 361 - 320*q.
5*(q - 62)*(q - 2)
Let y(m) = -10*m**3 + 45*m**2 - 955*m - 1915. Let c(u) = u**3 - 4*u**2 + 87*u + 174. Let w(b) = -65*c(b) - 6*y(b). Solve w(d) = 0 for d.
-3, 4
Let r(q) = -3*q**4 + 129*q**3 - 5*q**2 + 10*q - 10. Let g(w) = -w**4 - w**3 - w**2 + 2*w - 2. Let v(k) = 5*g(k) - r(k). Let v(t) = 0. Calculate t.
-67, 0
Let d(y) be the second derivative of 3*y**5/140 - y**4/4 + 8*y**3/7 - 18*y**2/7 - 806*y. Factor d(v).
3*(v - 3)*(v - 2)**2/7
Let g(w) be the third derivative of w**6/60 + 3*w**5/5 + 27*w**4/4 - 446*w**2. Let g(s) = 0. Calculate s.
-9, 0
Let r = 1 + 1. Let y be 14/r + -1 + -2. Suppose -7*i**5 + 0*i**3 + 6*i**2 + 9*i**3 + y*i**5 = 0. Calculate i.
-1, 0, 2
Let q(b) be the third derivative of 1/40*b**6 + 1/20*b**5 + 0*b + 3*b**2 + 0 - 1/8*b**4 - 1/2*b**3. Suppose q(k) = 0. What is k?
-1, 1
Let m be 2 - (-4)/(-8)*0. What is d in -11*d**2 + 4*d + d + d**m + 15 = 0?
-1, 3/2
Let i(n) be the first derivative of -5/12*n**4 + 0*n**3 + 5/2*n**2 - 8*n + 13. Let j(v) be the first derivative of i(v). Factor j(s).
-5*(s - 1)*(s + 1)
Let l = -129 - -131. Let n(u) be the third derivative of 0*u + 1/3*u**3 - 3/8*u**4 + 0 + 3/40*u**6 - 1/30*u**5 - 8*u**l. Solve n(d) = 0.
-1, 2/9, 1
Suppose 2*o - 2 = -q, -5 = -3*o - 4*q + 3. Let b(h) be the first derivative of 0*h**3 + 0*h + o*h**2 - 3/4*h**4 + 5. Solve b(s) = 0.
0
Let x(t) = 9*t**2 - 9*t - 29. Let j(v) be the second derivative of -5*v**4/12 + 5*v**3/6 + 15*v**2/2 + 28*v. Let i(m) = 5*j(m) + 3*x(m). Solve i(k) = 0.
-2, 3
Let x(c) be the first derivative of 15 + 66*c**3 - 22*c**4 + 29*c**3 - 2*c**4 - 20*c - 11*c**4. Find i, given that x(i) = 0.
-1/4, 2/7, 2
Factor 0*i - 1/2*i**2 + 0 + i**5 - 5/2*i**4 + 2*i**3.
i**2*(i - 1)**2*(2*i - 1)/2
Let o(g) = 3*g + 14. Let b be o(-3). Solve -28*k**4 + 12*k**4 + 93*k**2 + 26*k - 75*k**3 - 4 - 19*k**3 + 32*k**b - 109*k**2 = 0 for k.
-1, 1/4, 2
Let c = -84 - -88. Let a(d) be the second derivative of 0*d**2 + 1/12*d**3 + 5/48*d**4 + 0 - 1/40*d**5 - c*d - 1/24*d**6. Let a(y) = 0. What is y?
-1, -2/5, 0, 1
What is y in 252*y**4 + 2*y**3 - 2*y**2 - 7*y**2 - 18*y - 251*y**4 = 0?
-3, -2, 0, 3
Suppose 9/4 + 3*j**2 + 39/4*j = 0. Calculate j.
-3, -1/4
Let y = 136 + -160. Let o be (-3)/(-20) - (-3)/y*-2. Let 2/5*a**4 - 2/5*a**3 + 0 + o*a - 2/5*a**2 = 0. Calculate a.
-1, 0, 1
Find p such that 4/21 + 2/7*p + 2/21*p**2 = 0.
-2, -1
Suppose 3*z + 17 = 62. Let m(d) be the first derivative of 1/5*d**3 + z*d + 3*d**2 - 11. Determine c, given that m(c) = 0.
-5
Let r(i) be the first derivative of 12/5*i + 4/15*i**3 + 8 - 8/5*i**2. Find j such that r(j) = 0.
1, 3
Determine k so that 0*k**2 + 15*k - 5*k**2 + 3*k**3 + 29*k**2 - 42 = 0.
-7, -2, 1
Let m(o) = -2*o**3 - 11*o**2 - 7*o + 2. Let y be m(-1). Let u(w) be the first derivative of y*w**2 - 1/4*w + 3 + 1/12*w**3. Let u(l) = 0. What is l?
-1, 1
Let m(x) be the second derivative of 14*x + 2/15*x**6 + 0*x**3 + 0*x**4 + 0*x**2 + 0*x**5 + 0. Factor m(d).
4*d**4
Factor 18/5 - 3/5*n**2 - 3/5*n.
-3*(n - 2)*(n + 3)/5
Let m = 5092/7647 + 2/2549. Factor 1/3*i**5 + 0*i**4 + 1/3*i + 0 + 0*i**2 - m*i**3.
i*(i - 1)**2*(i + 1)**2/3
Let p(z) = z**3 - 1. Let b(l) = -l**3 - 8*l**2 + 2*l - 1. Suppose 2*c + 4 = -3*w, -3*w + 6 = -3*c - 7*w. Let h(q) = c*b(q) + 10*p(q). Factor h(t).
4*(t + 1)**2*(3*t - 2)
Determine s so that 2/9*s**2 - 2/9 + 0*s = 0.
-1, 1
Let o(l) = 4*l - 7. Let k be o(3). Suppose -2*n - k*n = n. Factor -4/3*i - 1/3*i**3 - 4/3*i**2 + n.
-i*(i + 2)**2/3
Let b(p) = -156*p**2 - 1860*p + 1384. Let a(q) = -24*q**2 - 286*q + 213. Let f(u) = 32*a(u) - 5*b(u). Factor f(t).
4*(t + 13)*(3*t - 2)
Let g(j) be the first derivative of 0*j**2 - 1/20*j**5 + 1/180*j**6 + 0*j**4 + 0*j - j**3 - 3. Let v(d) be the third derivative of g(d). Factor v(c).
2*c*(c - 3)
Let t(c) = 22*c**2 + 105*c + 119. Let o(j) = 12*j**2 + 51*j + 59. Let a(m) = -9*o(m) + 5*t(m). Factor a(b).
2*(b + 1)*(b + 32)
Suppose 3*j = 4*p - 17 - 10, 11 = p - 5*j. Let x be ((-28)/(-10))/(p/15). Factor 6*s + 2*s + x*s**2 - 11*s**2.
-4*s*(s - 2)
Solve 54*t**2 - 2*t**3 - 56*t**2 - 690*t - 39*t**2 - 1800 - 27*t**2 = 0 for t.
-15, -4
Let g(d) be the first derivative of d**7/672 - d**5/32 + 5*d**4/48 - 14*d**3/3 + 26. Let i(k) be the third derivative of g(k). Factor i(z).
5*(z - 1)**2*(z + 2)/4
Factor -1/2*s**3 - 220*s + 41/2*s**2 + 200.
-(s - 20)**2*(s - 1)/2
Let l(n) be the third derivative of n**7/1365 - n**6/260 + n**4/39 - 2*n**2 - 55. Factor l(y).
2*y*(y - 2)**2*(y + 1)/13
Let h = -22963 + 22975. Factor -3/2 - 6*x**3 - h*x**2 - 15/2*x.
-3*(x + 1)*(2*x + 1)**2/2
Let g be ((-16)/(-96))/(4/18). Let a = -158 + 641/4. Factor -3*o**2 + g - a*o.
-3*(o + 1)*(4*o - 1)/4
Let q(x) be the third derivative of x**8/840 - 29*x**7/2100 + 31*x**6/1200 - x**5/100 - 27*x**2. Find s such that q(s) = 0.
0, 1/4, 1, 6
Let i(k) be the first derivative of 3/10*k**4 + 6*k - 4/3*k**3 + 4/5*k**2 - 4. Let x(l) be the first derivative of i(l). Solve x(f) = 0.
2/9, 2
Let u = 6 - 6. Let i = u + 3. Suppose 3 - i*f**2 - 5 + 2*f**2 + 3*f + 0 = 0. What is f?
1, 2
Let h = 3725 - 1866. Let c be 1300/h - (-6)/(-11). Solve 4/13*r + c + 2/13*r**2 = 0.
-1
Let f be (8/(-6))/(2/9). Let j = f - -9. Suppose 24*i**4 + 4*i**2 + 0*i**2 + 33*i**j + 18*i**5 - 7*i**3 + 24*i**4 = 0. Calculate i.
-2, -1/3, 0
Suppose 0 = -2*w + 5*y + 30, -5*w - y + 37 = -4*y. Suppose 3*z - 13 = -1. Suppose -8*d**3 + 3*d**5 - z*d**5 + 5*d**4 + d**w + 4*d**2 - d**5 = 0. Calculate d.
0, 1, 2
Let v(j) be the second derivative of -7*j**4/8 + 149*j**3/4 - 63*j**2/2 - 2*j - 17. Factor v(r).
-3*(r - 21)*(7*r - 2)/2
Let x = 50801 + -255206/5. Let s = x + 241. Factor s*p**2 - 8/5*p - 12/5.
4*(p - 3)*(p + 1)/5
Let a be (-380)/65 + 2 + (-6)/39. Let n be (a/16)/(49/(-56)). Factor -2/7*d**4 + 2/7*d**5 - n*d**3 + 2/7*d**2 + 0*d + 0.
2*d**2*(d - 1)**2*(d + 1)/7
Let d(p) be the third derivative of -p**5/20 + 19*p**4/4 + 40*p**3 + 83*p**2 + p. Determine f so that d(f) = 0.
-2, 40
Factor 729/2*d**3 - 107/2*d - 702*d**2 - 1.
(d - 2)*(27*d + 1)**2/2
Let y(g) be the first derivative of 3*g**5/5 + 9*g**4/4 - 9*g**3 - 69*g**2/2 - 36*g + 294. Factor y(v).
3*(v - 3)*(v + 1)**2*(v + 4)
Let t(f) be the first derivative of f**3/3 - 33*f**2/2 - 34*f + 260. Find i, given that t(i) = 0.
-1, 34
Suppose -5*b + 129*l + 42 = 125*l, -18 = 3*b + 3*l. What is z in 0*z**b + 4/3 - 2*z + 2/3*z**3 = 0?
-2, 1
Factor -354*k + 585 - 506*k + 148*k**2 - 152*k**2 + 283 - 4*k.
-4*(k - 1)*(k + 217)
Let v(g) = -15*g**2 - 7*g - 648. Let i(b) = 7*b**2 + 6*b + 324. Let l(o) = 13*i(o) + 6*v(o). Let l(c) = 0. What is c?
-18
Let d(f) be the first derivative of 13/6*f**2 + 2*f + 8/9*f**3 + 1/12*f**4 - 13. Factor d(m).
(m + 1)**2*(m + 6)/3
Let z = 3/62 - -109/310. Let n(l) be the second derivative of 2/3*l**4 + 2*l**2 - 6*l - 7/3*l**3 + 0 + z*l**5. Factor n(g).
2*(g + 2)*(2*g - 1)**2
Solve 12*x**2 + 37 - 2*x**4 - 119*x - 31 + 103*x = 0 for x.
-3, 1
Let i be (-9)/((572/(-8))/11 - -5). Let x(d) be the third derivative of 0 + 1/200*d**i - 1/60*d**4 + 0*d + 0*d**3 - 1/300*d**5 + 6*d**2. Factor x(j).
j*(j - 1)*(3*j + 2)/5
Suppose -15 = -7*a + 20. Let s be (-4 + 4)/(-6) + 14/a. Determine o so that -s*o + 6/5 - 2/5*o**3 + 2*o**2 = 0.
1, 3
Let t be 2/(-4) + (-58)/(-4). Let q = t + -12. Factor -q - k**2 + k - 2*k - k - k.
-(k + 1)*(k + 2)
Let l(t) be the first derivative of -t**6/6 - 2*t**5/5 + 3*t**4 - 14*t**3/3 + 5*t**2/2 - 335. Find b such that l(b) = 0.
-5, 0, 1
Suppose 5*a = 10 + 5. Suppose 0 = 3*f - 4*l - 10, -a = 4*l - l. Factor 15*h - 6*h**2 - 6 - 5*h**2 + f*h**2.
-3*(h - 1)*(3*h - 2)
Let a(n) be the third derivative of n**5/300 - n**4/8 + 22*n**3/15 - n**2 + 147. Suppose a(m) = 0. Calculate m.
4, 11
Factor 14/11*l**3 + 14*l + 100/11*l**2 + 20/11.
2*(l + 2)*(l + 5)*(7*l + 1)/11
Let t be (49/2)/(24/96). Solve 4*j + 15*j - 9*j**3 + 18 + 14*j + 95*j**4 - t*j**4 + 9*j**2 = 0.
-3, -1, 2
Let v be 58/48 + -10 + (-4050)/(-400). Factor v*c + c**2 - 4/3*c**3 - 4/3 + 1/3*c**4.
(c - 2)**2*(c - 1)*(c + 1)/3
Let n(p) be the third derivative of p**7/3360 + p**6/720 + p**5/480 + p**3 - 11*p**2. Let s(h) be the first derivative of n(h). Determine t so t