(p + 1)**2/5
Solve -2/9*l**2 + 8 + 10/9*l = 0.
-4, 9
Let j(m) = -11*m**2 - 22*m + 33. Let p(u) = 5*u**2 + 11*u - 16. Let n(y) = 4*j(y) + 9*p(y). Factor n(a).
(a - 1)*(a + 12)
Let t = 119 + -119. Factor 960*q**2 - 2*q + t*q**3 - 964*q**2 + 6*q**3.
2*q*(q - 1)*(3*q + 1)
Solve 2/5*y**3 + 24/5 - 14/5*y**2 + 8/5*y = 0 for y.
-1, 2, 6
Let y(v) be the third derivative of -v**8/224 + 3*v**7/140 - v**6/80 - 3*v**5/40 + v**4/8 - 12*v**2 - 5*v. Suppose y(q) = 0. Calculate q.
-1, 0, 1, 2
Let y = 27541/1232 - -13/176. What is h in 198/7*h**3 - 4/7 - y*h**2 + 44/7*h - 81/7*h**4 = 0?
2/9, 1
Let i(k) be the third derivative of k**6/30 - 8*k**5/15 + 10*k**4/3 - 32*k**3/3 - 6*k**2 - 14. Factor i(o).
4*(o - 4)*(o - 2)**2
Let u be (-5)/(-40)*0*(-11)/66. Factor -1/3*n**4 - 3*n**2 + 4/3*n + 2*n**3 + u.
-n*(n - 4)*(n - 1)**2/3
Let u be ((-4)/(-240))/(4/5). Let j(p) be the third derivative of u*p**4 + 1/240*p**5 + 0*p + 0 + 0*p**3 + 4*p**2. What is b in j(b) = 0?
-2, 0
Let l(p) be the second derivative of -p**7/3780 + p**6/540 + p**5/60 + 5*p**4/12 + 16*p. Let m(a) be the third derivative of l(a). Factor m(d).
-2*(d - 3)*(d + 1)/3
Suppose -4 = i, 0*z = -2*z - i + 92. Suppose 0 = 47*x - z*x. Let -1/5*d - 4/5*d**5 + x*d**2 + 0 + d**3 + 0*d**4 = 0. Calculate d.
-1, -1/2, 0, 1/2, 1
Factor -74*l**3 - 8 - 20 - 23*l**3 - 36*l**2 + 93*l**3 - 60*l.
-4*(l + 1)**2*(l + 7)
Let q = -273 - -273. Let v(d) be the third derivative of 7*d**2 + 0 - 1/120*d**6 + 0*d - 1/24*d**4 + q*d**3 + 1/30*d**5. Factor v(p).
-p*(p - 1)**2
Suppose -14*f + 8*f = -7*f. Let v(b) be the first derivative of f*b + 3 + 2/3*b**3 + 3*b**2. Factor v(l).
2*l*(l + 3)
Let a(i) be the second derivative of i**6/39 - 9*i**5/65 + 2*i**4/13 + 8*i**3/39 - 100*i. Factor a(h).
2*h*(h - 2)**2*(5*h + 2)/13
Let b(i) be the first derivative of -2*i**3/33 - 21*i**2/11 - 40*i/11 - 124. Factor b(a).
-2*(a + 1)*(a + 20)/11
Factor 5/4*c**3 + 7/4*c**2 + 0 + 1/4*c**4 + 3/4*c.
c*(c + 1)**2*(c + 3)/4
Let n(z) be the third derivative of z**5/210 + z**4/42 - 3*z**3 + 5*z**2 - 9. Factor n(l).
2*(l - 7)*(l + 9)/7
Let i be 8/(-1) - (-32 - -17). Let o(s) be the first derivative of -i - 2/3*s**3 + 4*s**2 - 8*s. Find y, given that o(y) = 0.
2
Let x(i) be the second derivative of i**6/90 + i**5/20 - i**4/36 - i**3/6 - 2*i + 48. Find h, given that x(h) = 0.
-3, -1, 0, 1
Suppose 2*g + 3*t = 21, -11 = -4*g + 3*t + 4. Let n(s) be the third derivative of -1/720*s**g + 1/360*s**5 + 0*s**3 + 0 + 0*s**4 + 4*s**2 + 0*s. Factor n(j).
-j**2*(j - 1)/6
Let d(m) be the first derivative of 4*m**4 - 152/3*m**3 + 101/5*m**5 - 4 - 35/6*m**6 + 16*m - 8*m**2. Solve d(u) = 0 for u.
-1, -2/5, 2/7, 2
Let u = 3169 + -9304/3. Let x = -67 + u. Factor -1/6*p**2 - 1/2 + x*p.
-(p - 3)*(p - 1)/6
Let -5*g**4 - 895*g**2 - 200*g**3 - 1807*g - 1295*g**2 - 1805 - 1993*g = 0. Calculate g.
-19, -1
Let b(o) = o**4 - o**2 - 1. Let v(z) = -2*z**5 + 7*z**4 + 4*z**3 - 9*z**2 - 2*z - 3. Let w(h) = -5*b(h) + v(h). What is n in w(n) = 0?
-1, 1
Suppose 24 = d - 3*v, 4*d - 4*v + 3*v - 52 = 0. Suppose -s + 3*x = -5, -d = -4*s + 6*x - 2*x. Let 25/4*z**s + 1/4 - 5/2*z = 0. Calculate z.
1/5
Let m be (2 - (-1 + 3) - 2) + -12. Let v be (-1)/4 + m*3/(-72). Solve -2/3*q - 1/3 - v*q**2 = 0 for q.
-1
Let s(g) = 6*g**2 + 35*g - 100. Let c(a) = 14*a**2 + 88*a - 250. Let r(u) = 5*c(u) - 12*s(u). Factor r(l).
-2*(l - 5)**2
Let f(n) = 3*n**2 - 4*n - 5*n**2 - n**2 + 2. Let d = -7 - -5. Let s(c) = -4*c**2 - 5*c + 3. Let m(y) = d*s(y) + 3*f(y). Let m(a) = 0. What is a?
-2, 0
Let f be (-5 - (-228)/45) + 147/63. Let -16/5*r**3 + 0*r + f*r**2 + 4/5*r**4 + 0 = 0. What is r?
0, 1, 3
Let q = 49 - 51. Let n be ((1/q)/(4/(-24)))/2. Let -3/2*z**4 - 1/2*z**2 - 1/2*z**5 + 0 - n*z**3 + 0*z = 0. Calculate z.
-1, 0
Suppose -51*b = 25*b - 107*b. Solve b + 1/7*g**3 + 0*g + 6/7*g**2 = 0 for g.
-6, 0
Factor 7220/3 + 5/3*t**2 + 380/3*t.
5*(t + 38)**2/3
Let b(c) be the third derivative of -c**6/40 - 11*c**5/40 + 43*c**4/16 + 6*c**3 + 169*c**2. Factor b(m).
-3*(m - 3)*(m + 8)*(2*m + 1)/2
Factor 64044*a**3 - 64048*a**3 + 4*a + 0*a.
-4*a*(a - 1)*(a + 1)
Let h(w) be the second derivative of w**4/54 + 2*w**3/27 - 5*w**2/3 + 15*w. Factor h(o).
2*(o - 3)*(o + 5)/9
Let w(v) = -11*v**3 + 12*v**2 - 51*v + 6. Let f(i) = -120*i**3 + 135*i**2 - 560*i + 65. Let r(q) = 6*f(q) - 65*w(q). Determine t, given that r(t) = 0.
0, 3
Let l be -2 - -5 - ((-105)/14 - -10). Factor 1/4*d**5 + d + 0 - l*d**4 + d**2 - 3/4*d**3.
d*(d - 2)**2*(d + 1)**2/4
Suppose -4*y + 77 + 55 = 0. Let 8*j**4 + y*j**3 - 38*j**3 - 5*j**2 + 2*j**4 = 0. What is j?
-1/2, 0, 1
Let m = 49 + -41. Suppose -j = j - m. Factor 1/2*x**j - 1/2*x**2 - x**3 + x + 0.
x*(x - 2)*(x - 1)*(x + 1)/2
Let r(m) = m**2 + 3*m - 14. Let k be r(-6). Solve k*s**2 + 4*s + s**2 - 3*s**2 + 4*s**2 = 0.
-2/3, 0
Suppose 5*x**4 + 5*x**5 - 6*x**5 - 15*x**4 + 3 + 6*x**4 - 13*x - 18*x**3 + 22*x**2 + 11*x**4 = 0. Calculate x.
1, 3
Let h(a) be the second derivative of a**5/30 - 7*a**3/9 - 2*a**2 - 43*a + 1. Factor h(w).
2*(w - 3)*(w + 1)*(w + 2)/3
Solve 8/11*w + 2/11*w**2 - 2/11*w**3 - 8/11 = 0 for w.
-2, 1, 2
Factor -50/13*k - 22/13*k**2 + 2/13*k**3 - 2.
2*(k - 13)*(k + 1)**2/13
Let c(w) be the first derivative of w**6/24 + w**5/10 - 3*w**4/16 - 357. Determine v, given that c(v) = 0.
-3, 0, 1
Let k(s) be the second derivative of 9*s**6/10 + 21*s**5/5 + 61*s**4/12 - 2*s**2 - 65*s. Determine b so that k(b) = 0.
-2, -1, -1/3, 2/9
Suppose 0 = -3*q + 5*q + 3*j - 1, -5*q - 4*j + 13 = 0. Factor -8/7*v**3 - 4/7 - 4/7*v**4 + 4/7*v + 4/7*v**q + 8/7*v**2.
4*(v - 1)**3*(v + 1)**2/7
Let c(x) be the third derivative of x**8/1344 - x**7/840 - x**6/160 + x**5/48 - x**4/48 + 17*x**2 + 2*x. Suppose c(p) = 0. Calculate p.
-2, 0, 1
Let -2*p**2 + 12*p**4 - 23*p**4 + 12*p - 2*p**2 - 12*p**3 + 15*p**4 = 0. What is p?
-1, 0, 1, 3
Factor 3*p + 63*p**3 + 12*p**2 - 28*p**3 + 23*p**2 + 144*p**4 + 97*p**3 - 64*p**5.
-p*(p - 3)*(4*p + 1)**3
Factor -16/3 - 8/9*s + 1/9*s**3 + 5/9*s**2.
(s - 3)*(s + 4)**2/9
Let t be ((-100)/(-3))/((-2)/(-6)). Suppose -t = 4*o - 8*o. Find k, given that 29*k**2 - 2*k + 4*k - o*k**2 + 2*k**3 = 0.
-1, 0
Suppose -2*l + 6 + 4 = 0. Suppose -m + l*m = 16. Factor -30*j - 12*j**2 - 27*j**3 - 12*j**4 + 27*j + j**5 - m*j**5 + 9*j**3.
-3*j*(j + 1)**4
Suppose -4*c = -7*c - 3, -2*g - 2*c = -8. Let y be ((-19)/g - -4) + (-46)/(-70). Factor -y*d + 2/7*d**3 + 0*d**2 - 4/7.
2*(d - 2)*(d + 1)**2/7
Let i = -11521/2 + 5762. Factor -1/4*f**4 + i*f**2 + 0*f + 1/4*f**3 + 0.
-f**2*(f - 3)*(f + 2)/4
Let q = 56001290/112761 - 7/10251. Let p = 497 - q. Find t such that -18/11*t**4 + 30/11*t**3 + 2*t**2 + p - 2*t = 0.
-1, 1/3, 2
Let u(s) be the third derivative of s**6/180 - s**5/90 - s**4/18 - 24*s**2 + 1. Let u(d) = 0. What is d?
-1, 0, 2
Let -72*b + 224*b**3 + 144*b**4 + 36*b**2 + 3*b**5 - 148*b**4 - 2*b**5 - 25*b**5 = 0. Calculate b.
-3, -2/3, 0, 1/2, 3
Let p be 1229/(-6) + 5/(-30). Let q be (-32)/40 - p/225. Solve 0*n - q + 1/9*n**2 = 0.
-1, 1
Let g = 0 - -20. Suppose a + 2*o - g = -2*a, -1 = -o. Factor -a*q**2 + 3/2*q**5 - 15/2*q**4 + 0*q + 12*q**3 + 0.
3*q**2*(q - 2)**2*(q - 1)/2
Let b(o) = 20*o**4 - 91*o**3 - 129*o**2 + 622*o + 631. Let s(j) = 5*j**4 - 23*j**3 - 32*j**2 + 156*j + 158. Let d(u) = -2*b(u) + 9*s(u). Factor d(f).
5*(f - 4)**2*(f + 1)*(f + 2)
Let y(p) be the third derivative of 9*p**2 + 0*p**3 - 5/6*p**4 - 1/42*p**7 + 0*p + 0*p**5 + 1/8*p**6 + 0. Let y(k) = 0. Calculate k.
-1, 0, 2
Let l(k) be the first derivative of 4*k**5/5 + 6*k**4 + 12*k**3 - 8*k**2 - 48*k - 188. Solve l(y) = 0 for y.
-3, -2, 1
Let w(m) = 9*m**4 - 20*m**3 - 17*m**2 + 78*m - 45. Let q(j) = -4*j**4 + 10*j**3 + 8*j**2 - 38*j + 22. Let i(c) = 5*q(c) + 2*w(c). Factor i(s).
-2*(s - 5)*(s - 1)**2*(s + 2)
Solve -3*a**2 - 53*a + 92*a - 45*a = 0.
-2, 0
Let t = 2 - 4. Let n be (0 + t)*(-11)/22. Factor 25*u - 5*u**2 - 4 - n - 25.
-5*(u - 3)*(u - 2)
Find s such that 4*s**5 + 200 + 96*s**3 - 6*s**5 - 3*s**5 - s**3 - 170*s**2 - 60*s = 0.
-5, -1, 2
Suppose -4*i = -r + 18, -28 = -r + 3*i - 14. Determine z so that 8/11*z + 0 + 2/11*z**r = 0.
-4, 0
Let k be 259/28 - -5*(-64)/40. Factor -9/4 - 1/4*y**3 + k*y**2 - 3/4*y.
-(y - 3)**2*(y + 1)/4
Let r(t) be the second derivative of 0 + 13*t - 2*t**2 + 2/3*t**3 - 1/12*t**4. Suppose r(u) = 0. What is u?
2
Let t(u) = 3*u*