 + 204/5*s - 39/5*s**2 = 0. What is s?
-17, 0, 4
Suppose 3*n - 3 = 2*n. Suppose 12 = n*y - 0. Factor q**3 + 2*q**2 - q**2 + q**3 - q - q**y - q.
-q*(q - 2)*(q - 1)*(q + 1)
Let m(a) be the first derivative of 0*a - 5/3*a**3 - 5/4*a**2 + 7. Factor m(i).
-5*i*(2*i + 1)/2
Solve 1/3*x**5 + 2/3*x + 1/3*x**4 + 0 - x**3 - 1/3*x**2 = 0 for x.
-2, -1, 0, 1
Suppose 2*i = h + i - 58, 5*h - i = 294. Let a = 61 - h. Factor 1/2 - 3/4*v + 1/4*v**a.
(v - 2)*(v - 1)/4
Let v(l) be the third derivative of -l**5/180 + 23*l**4/72 - 11*l**3/9 - 139*l**2. Factor v(i).
-(i - 22)*(i - 1)/3
Let s(z) = z**2 - 5*z - 4. Let a be s(6). Let j be 25/42 + 113/1582. Factor j + 1/3*v**a + v.
(v + 1)*(v + 2)/3
Let q(w) be the third derivative of w**8/672 - 17*w**7/1260 + 7*w**6/720 + 17*w**5/360 - 5*w**4/72 - 128*w**2. Suppose q(p) = 0. Calculate p.
-1, 0, 2/3, 1, 5
Let x(k) = -2*k**2 + 197*k - 1108. Let v be x(6). Let l = 813 - 4038/5. What is j in 27/5*j**3 - l*j + 6/5*j**v - 6/5 = 0?
-1, -2/9, 1
Let r(h) be the third derivative of -2/27*h**3 + 1/135*h**5 + 1/108*h**4 + 0 + 10*h**2 + 0*h - 1/540*h**6. Suppose r(c) = 0. What is c?
-1, 1, 2
Let s = -38427 - -191216/5. Let v = s + 184. Factor -v*x**3 - 2/5*x**4 + 0 + 0*x**2 + 0*x - 1/5*x**5.
-x**3*(x + 1)**2/5
Suppose -4*j + 11 = s, -3 = -3*s + j + 2*j. Factor 11*x**2 + 5*x + 21*x**3 + 4*x - 2 - 4*x - 17*x**s.
(x + 1)*(x + 2)*(4*x - 1)
Suppose 2*k - 22 - 4 = 0. Let y = k - 9. Factor 3*z**3 - 2*z**y - 10*z**2 - z + 5*z + 5*z**3.
-2*z*(z - 2)*(z - 1)**2
Let c(l) = 3*l**3 + l**2 - 3*l + 1. Suppose -2*v + 3 + 3 = -4*x, 5*v = -5*x. Let b be c(v). Determine q so that 0*q - 2/9*q**b + 0 - 8/9*q**3 = 0.
-1/4, 0
Let p(g) be the first derivative of -4*g**5/5 - g**4/2 - 2*g - 6. Let x(q) = -q**4 - 1. Let c(f) = -2*p(f) + 4*x(f). Suppose c(j) = 0. What is j?
-1, 0
Suppose 3*r + r = 8. Let f = -27 - -197/7. Determine i so that -2/7*i**r - f + 8/7*i = 0.
2
Let t(i) = -i**2 - 2*i + 1. Let s be t(-2). Suppose 6 = p + 2*k, 5*p - s - 1 = 4*k. What is f in 9*f - f**2 - 3*f**p + 4*f**2 + 6 - 3*f**3 = 0?
-1, 2
Let f(d) be the third derivative of d**7/105 - 37*d**6/30 + 1441*d**5/30 - 222*d**4 + 432*d**3 - 5*d**2 + 5*d. Factor f(l).
2*(l - 36)**2*(l - 1)**2
Let o(h) = h**2 + 12*h + 11. Let q be o(-11). Suppose q = 2*x + 62 - 70. Suppose 0 - 34/11*u**x - 2*u**2 + 10/11*u**5 + 4/11*u + 42/11*u**3 = 0. What is u?
0, 2/5, 1
Determine j, given that 6/5 + 0*j**3 + 16/5*j - 2/5*j**4 + 12/5*j**2 = 0.
-1, 3
Let w(n) = -n**2 - n - 1. Let i(s) = 9*s**2 + 29*s + 24. Let h(a) = i(a) + 4*w(a). Suppose h(o) = 0. What is o?
-4, -1
Let g(f) be the third derivative of f**8/50400 - f**7/6300 + f**6/1800 + f**5/10 + 7*f**2. Let y(w) be the third derivative of g(w). Factor y(t).
2*(t - 1)**2/5
Suppose -5*l + 10 + 0 = 0. Suppose x + 10*x - 11*x - 8 + 6*x + 2*x**l = 0. Calculate x.
-4, 1
Let i(a) be the second derivative of 27*a - 1/108*a**4 - 2/27*a**3 + 1/18*a**2 + 0 + 1/45*a**5. Factor i(o).
(o - 1)*(o + 1)*(4*o - 1)/9
Let p(k) = -2*k + 2. Let m(t) = 2*t**2 - 110*t + 108. Let b(g) = 2*m(g) + 14*p(g). Factor b(a).
4*(a - 61)*(a - 1)
Let x(z) be the second derivative of 1/3*z**3 + 1/18*z**4 + 2/3*z**2 + 0 + 3*z. Let x(l) = 0. What is l?
-2, -1
Suppose -10*y + 6*y + 12 = 0, y + 5 = 4*h. Let n(u) be the second derivative of 0*u**h + 1/18*u**3 + 2*u + 0 + 1/36*u**4. Factor n(g).
g*(g + 1)/3
Factor -152*i**2 - 180 + 273*i**2 + 545*i - 136*i**2.
-5*(i - 36)*(3*i - 1)
Factor -2*f + 0 + 1/2*f**2.
f*(f - 4)/2
Let o be 13/65 + 19/(-120) + (-6)/(-18). Solve o*g**2 + 0 - 3/4*g = 0 for g.
0, 2
Let n(h) be the first derivative of h**5/90 + 7*h**4/18 + 49*h**3/9 + 23*h**2/2 + 18. Let i(o) be the second derivative of n(o). Solve i(f) = 0 for f.
-7
Let l = -12 - -15. Find a such that 3*a**2 + 0*a - 3*a + 0*a + 3 - l*a = 0.
1
Let z be (-6)/45*5/15*-15. Let i(v) be the first derivative of 15 - 5/3*v**2 + 2*v**3 + 4/15*v**5 + z*v - 7/6*v**4. Determine q so that i(q) = 0.
1/2, 1
Let z(x) be the second derivative of 0*x**2 - 1/138*x**4 + 0 - 13*x + 5/69*x**3. Solve z(w) = 0.
0, 5
Let j(n) be the first derivative of -n**5/90 + 2*n**4/9 - 16*n**3/9 + 8*n**2 + 4. Let x(l) be the second derivative of j(l). Determine h, given that x(h) = 0.
4
Let s = -1294 + 1299. Solve -11/7*o**2 + 12/7*o + 1/7*o**3 - 1/7*o**s + 3/7*o**4 - 4/7 = 0 for o.
-2, 1, 2
Let w(h) = 33*h**3 + 113*h**2 + 90*h + 13. Let i(q) = -40 - 74*q**3 - 340*q**2 - 30*q**3 - 272*q + 4*q**3. Let s(m) = 3*i(m) + 8*w(m). What is k in s(k) = 0?
-2, -1, -2/9
Let c(d) = -2*d**3 - 30*d**2 + 32*d + 3. Let w be c(-16). Factor -2/5*f**4 + 0 - 2*f**2 + 8/5*f**w + 4/5*f.
-2*f*(f - 2)*(f - 1)**2/5
Let w(j) be the third derivative of 4/69*j**3 + 0*j - 5/69*j**4 + 0 + 3/230*j**5 - 13*j**2. Factor w(n).
2*(n - 2)*(9*n - 2)/23
Let c = 99/7 + -2567/182. Let u(s) be the first derivative of c*s**4 - 4/39*s**3 + 4/13*s - 1/13*s**2 + 10. Factor u(a).
2*(a - 2)*(a - 1)*(a + 1)/13
Suppose 2*i = 8 + 8. Suppose -i = 9*u - 26. Determine j so that 2/7 + 2/7*j**u - 4/7*j = 0.
1
Let l(a) be the first derivative of -9 + 0*a - 1/2*a**2 - 2/9*a**3 - 1/36*a**4. Suppose l(s) = 0. What is s?
-3, 0
Let d(m) be the first derivative of m**6/21 + 4*m**5/7 - 6*m**4/7 - 20*m**3/21 + 11*m**2/7 + 648. Suppose d(k) = 0. Calculate k.
-11, -1, 0, 1
Let h be (-2 + 0/2)*-1. Factor -4*w - 12*w**h - 4*w + 3*w**2 + 10*w**2 + 16.
(w - 4)**2
Let i be 0/(-4) + 2 + -5. Let y = i - -17. Factor 2*d - 17 + y - d**2 - 2*d**2 + 4*d.
-3*(d - 1)**2
Let k = -10 + -14. Let d = k + 26. Factor 6*t**4 + 4*t**4 + 2*t**3 - d*t**2 - 6*t**4.
2*t**2*(t + 1)*(2*t - 1)
Let t = 4400/3 - 1466. Determine z, given that 2/3*z**2 - t*z + 0 = 0.
0, 1
Let j(l) be the second derivative of l**5/5 - 5*l**4 - 146*l**3/3 - 114*l**2 + 2*l - 43. Let j(y) = 0. Calculate y.
-3, -1, 19
Let u be (-4)/18*414/322*-7. Factor 0 - 18/5*p**3 + 4*p**u - 8/5*p - 1/5*p**5 + 7/5*p**4.
-p*(p - 2)**3*(p - 1)/5
Let h(z) be the third derivative of 7*z**6/40 + 27*z**5/20 + 3*z**4 - 2*z**3 - 3*z**2 - 27*z. Let h(y) = 0. What is y?
-2, 1/7
Let w(y) be the third derivative of y**7/735 + 41*y**6/420 - y**5/5 + 585*y**2. Factor w(r).
2*r**2*(r - 1)*(r + 42)/7
Suppose 50 = 16*f - 6*f. Suppose -k = -f*p + 23, -5*k = -k + 4*p - 28. Factor 0 + y**3 - 1/2*y**4 + 0*y - 1/2*y**5 + 0*y**k.
-y**3*(y - 1)*(y + 2)/2
Suppose 2*u + 2*t = 6*t - 6, 5*u - 5*t = 0. Suppose -b = -u*b + 6. Factor -i**5 + b*i**4 - i**2 + 2*i**4 - 4*i**4 + i**3.
-i**2*(i - 1)**2*(i + 1)
Let u(z) be the second derivative of -1/19*z**2 - 1/57*z**3 + 1/190*z**5 + 1/114*z**4 - 12*z + 0. Let u(i) = 0. What is i?
-1, 1
Factor 0 + 0*q + 3/2*q**3 + 1/4*q**5 + 7/4*q**4 + 0*q**2.
q**3*(q + 1)*(q + 6)/4
Factor -110 + 110 - n**4 + 2*n**2 + n**3.
-n**2*(n - 2)*(n + 1)
Let -2*b**2 + 0 + 1/8*b**3 - 17/8*b = 0. What is b?
-1, 0, 17
Let x(m) be the second derivative of -1/4*m**4 - 1/2*m**3 - 1/20*m**5 + 0 - m + 3/2*m**2. Let k(j) be the first derivative of x(j). Solve k(y) = 0 for y.
-1
Let x(j) = j + j**2 - 4 + 0 + 4*j - 2*j. Let t be x(-4). Find o such that t*o**4 - o**3 + 2*o**2 + 3*o - 2*o**4 - o - o**3 = 0.
-1, 0, 1
Factor 31*y - y**2 + 6 - 57*y + 33*y + 2*y**2.
(y + 1)*(y + 6)
Let r be 5/(-4)*(-178)/(-445)*-4. Let q be 10/(-2)*(-4)/10. Factor 4/3 - r*s + 2/3*s**q.
2*(s - 2)*(s - 1)/3
Let b(r) be the third derivative of r**8/168 - r**7/35 - r**6/20 + 11*r**5/30 - r**4/2 - 3*r**2 + 61*r. Factor b(l).
2*l*(l - 3)*(l - 1)**2*(l + 2)
Let a(q) be the third derivative of -q**6/900 + q**5/300 + 5*q**3/2 - 13*q**2. Let c(o) be the first derivative of a(o). Suppose c(b) = 0. Calculate b.
0, 1
Suppose 3*a + 3*f = -a, -2*f = 5*a. Suppose 6*r - r = a. Factor 10*o**2 - 8*o**2 - o**4 - 1 + r.
-(o - 1)**2*(o + 1)**2
Suppose 36 = -30*h + 39*h. Let i(a) be the third derivative of -1/12*a**h + 0 + 1/90*a**5 + 2/9*a**3 + 5*a**2 + 0*a. Factor i(s).
2*(s - 2)*(s - 1)/3
Let r(h) be the first derivative of -1/6*h**3 - 2*h - 1/4*h**2 - 3 - 1/24*h**4. Let t(a) be the first derivative of r(a). Factor t(x).
-(x + 1)**2/2
Let r be (256/6)/((-3)/(-63)). Let d be (-2)/9 + r/63. Factor d*y**3 + 6 - 7*y**4 - 2 + 10*y**4 + 16*y + 23*y**2.
(y + 1)**2*(y + 2)*(3*y + 2)
Find z such that -15/4*z**4 + 15/2*z**2 + 3/4*z - 3/2*z**3 + 3/4*z**5 - 15/4 = 0.
-1, 1, 5
Suppose 0 = -r + 3*r - 6. Let o be 5*(-1)/1 - (-195)/33. Solve 4/11*w 