ne l so that p(l) = 0.
0, 1/12, 1
Suppose -y - 2*y + 3*b + 3 = 0, 0 = 5*y + 5*b - 15. Factor 7 - 19 + 2*j - 7*j**2 + 0*j**2 + 7*j**2 + 2*j**y.
2*(j - 2)*(j + 3)
Let p(y) be the second derivative of -3/5*y**6 - 9*y**2 - 1/21*y**7 - 18 - 11*y**3 - y - 3*y**5 - 23/3*y**4. Factor p(q).
-2*(q + 1)**3*(q + 3)**2
Let i = -41 - -43. Factor -2*j**i + 5*j**2 + 3*j**3 - 3*j - 15*j.
3*j*(j - 2)*(j + 3)
Suppose -28 - 56 = -21*w. Factor -97*c - 190*c + 20*c + 30 - 9*c**2 + 64 - w.
-3*(c + 30)*(3*c - 1)
Suppose -8866 = 11*z - 8921. Let g(k) be the third derivative of 0*k**6 + 0 - 32*k**2 + 2/525*k**7 + 0*k**4 - 1/84*k**8 + 0*k**3 + 0*k + 0*k**z. Factor g(h).
-4*h**4*(5*h - 1)/5
Suppose -9*a - 5*a + 1050 = 0. Let k be (a/(-90))/(1/(-6)). Factor -4/3*p**3 + 5/3*p - 4/3*p**4 + 2/3*p**2 + 2/3 - 1/3*p**k.
-(p - 1)*(p + 1)**3*(p + 2)/3
Let b(o) = -o**3 + o**2 + 42*o - 140. Let p be b(0). Let s be (-12)/(-14) - 160/p. Determine x so that -1/3*x**4 + 5/3*x**s + 0 - 2*x + 2/3*x**3 = 0.
-2, 0, 1, 3
Let v(p) be the third derivative of 1/600*p**6 + 1/50*p**5 - 1/3*p**3 + 19*p**2 + 0*p + 0 + 1/40*p**4. What is i in v(i) = 0?
-5, -2, 1
Factor -2*p - 345/4 + 1/4*p**2.
(p - 23)*(p + 15)/4
Let p(r) = -2*r**3 - 154*r**2 - 2886*r + 3050. Let x(z) be the second derivative of -z**2 - 2*z - 2. Let d(t) = p(t) + 4*x(t). Factor d(g).
-2*(g - 1)*(g + 39)**2
Let l(z) = -5*z**3 - 4*z**2 - z - 4. Let w(g) = 35704*g - 11*g**3 - 10 - 35705*g - 10*g**2 + 3*g**2. Let b(k) = -5*l(k) + 2*w(k). Suppose b(r) = 0. Calculate r.
-1, 0
Let 180*v - 153 - 6956*v**3 + 53 - 92*v**2 + 6968*v**3 = 0. What is v?
1, 5/3, 5
Factor 192*c**3 - 2607*c - 177*c**2 - 381*c**2 + 744 + 2599*c - 8*c**4 + 6*c**4.
-2*(c - 93)*(c - 2)**2*(c + 1)
Let j be (0 + -1)/(2/(18/(-3))). Let q be 4/4 + j*1. Let 10*b**2 + 7*b**4 + 7*b**2 - 6*b**q - 22*b**3 + 10*b - 6*b**4 = 0. Calculate b.
-5, -2/5, 0, 1
Let z be (-1)/(-4)*-17 + 117/468. Let y be 106/(-265)*(z - 1). Factor -2/15*a**3 + 10/3 - 14/3*a + 22/15*a**y.
-2*(a - 5)**2*(a - 1)/15
Suppose v + 2 = 0, -3*v = 4*u - 6*u + 12. Factor a**3 + 11*a**2 - 20*a**4 - 58*a - 8*a**u + 56*a.
-a*(a + 1)*(4*a - 1)*(5*a - 2)
Solve -1/5*d**2 - 2/5*d + 63/5 = 0.
-9, 7
Let v(k) be the second derivative of k**4/6 - 7*k**3/6 + 4*k**2 - 7*k. Let t be v(3). Factor 38*n**4 + 8*n - 6*n**3 - 4*n**2 - 34*n**4 + 4*n**t - 6*n**3.
4*n*(n - 1)**2*(n + 1)*(n + 2)
Factor 9/7*g**3 + 0 - 96/7*g**2 - 33/7*g.
3*g*(g - 11)*(3*g + 1)/7
Suppose 5 = 2*i - 19. Suppose -58*j**3 - i*j**2 + 0 - 8*j + 0 + 54*j**3 = 0. Calculate j.
-2, -1, 0
Let l(d) be the third derivative of -d**6/160 - 691*d**5/80 - 7439*d**4/2 + 29929*d**3/2 + 98*d**2. Find p such that l(p) = 0.
-346, 1
Let h(d) be the third derivative of -1/8*d**4 + 0*d**3 + 0*d + 1/40*d**6 + 15*d**2 + 0 + 0*d**5. Let h(m) = 0. What is m?
-1, 0, 1
Let w(q) be the first derivative of -5*q**7/42 + q**5/2 - 5*q**3/6 - 20*q + 28. Let x(v) be the first derivative of w(v). What is c in x(c) = 0?
-1, 0, 1
Let a(i) = 10*i - 1. Let m(s) = -30*s**2 + 3835*s + 3254. Let q(t) = 4*a(t) + m(t). Factor q(u).
-5*(u - 130)*(6*u + 5)
Let c(p) be the first derivative of -3*p**5/5 - 147*p**4/4 - 870*p**3 - 10050*p**2 - 57000*p + 2309. Factor c(k).
-3*(k + 10)**3*(k + 19)
Suppose 540*z = 553*z - 2 - 24. Let q(c) be the second derivative of -3*c**z - 26*c + 7/10*c**6 + 15/4*c**4 + 0 + 57/20*c**5 + 1/2*c**3. Factor q(l).
3*(l + 1)**3*(7*l - 2)
Let t be (213 + 1)*46/(-6808). Let c = 72/37 + t. Let -c*p**2 + 9/2*p - 4 = 0. What is p?
1, 8
Let z(u) = 2*u**2 + u - 16. Let a be z(-18). Let q = a - 612. Suppose r + 0 + 1/2*r**q = 0. Calculate r.
-2, 0
Let v(m) be the first derivative of -m**6/15 + 2*m**5/5 + m**4/6 - 4*m**3/3 - 143*m + 154. Let b(y) be the first derivative of v(y). Factor b(n).
-2*n*(n - 4)*(n - 1)*(n + 1)
Let g be 17 + ((-1)/(3 - 2) - (-44 + 54)). Suppose l + 19 = 5*z, -5 = -4*z + 15. Let l + 2/9*q**3 + 2*q**2 + g*q = 0. Calculate q.
-3
Let l be ((-133)/28 - -6)*-8. Let g(j) = 14*j**2 + 42*j + 40. Let y(u) = u**2 + u - 2. Let i(b) = l*y(b) + g(b). Factor i(s).
4*(s + 3)*(s + 5)
Let o be 3/(0/(4 - 3) + 97 + -92). Factor -12*k - o*k**2 - 60.
-3*(k + 10)**2/5
Let v = -1339/8 - -166. Let w = 113/24 + v. Find q, given that w*q**3 + 14/3*q - 2/3*q**4 - 6*q**2 - 4/3 = 0.
1, 2
Suppose -111*h = -1223*h + 3336. Factor 0*i + 0*i**2 + 0 - 2/3*i**h - 2/9*i**4.
-2*i**3*(i + 3)/9
Solve 0 - 2/5*x**2 + 644/5*x = 0.
0, 322
Let z(t) be the third derivative of t**7/168 + t**6/24 + t**5/12 - 67*t**3/6 + 2*t**2 - 20. Let y(l) be the first derivative of z(l). Solve y(d) = 0.
-2, -1, 0
Let u = 1234 - 1238. Let c be -1*1*u + 100/75. Factor 8/3*m**2 - 28/3*m + c + 4/3*m**3.
4*(m - 1)**2*(m + 4)/3
Let i be ((-256)/(-20))/8 - (-2)/5. Suppose 11*z + i = 2. Factor 8/13*r**4 + 0*r + 2/13*r**5 + 0*r**2 + 8/13*r**3 + z.
2*r**3*(r + 2)**2/13
Let f(x) be the third derivative of 18/35*x**7 + 0 + 1/28*x**8 + 0*x**3 + 2*x**4 - 14*x + 18/5*x**5 + 97/40*x**6 - x**2. What is q in f(q) = 0?
-4, -1/2, 0
Let w(k) be the third derivative of -k**8/168 + 32*k**7/1575 + 101*k**6/900 + 23*k**5/225 - 2*k**4/45 - k**2 - 49*k. Determine n, given that w(n) = 0.
-1, 0, 2/15, 4
Solve 0 + 81*h**4 - 5/2*h**5 + 0*h - 182*h**3 + 60*h**2 = 0.
0, 2/5, 2, 30
Suppose 0*v - 5*v - 30 = -5*j, 3*j = 5*v + 38. Let q be (-16)/40 - (154/v + -1). Factor -17*g**3 - 25*g**2 - 7*g**4 - q*g - 2*g**3 + 0*g - 4 - g**5.
-(g + 1)**3*(g + 2)**2
Let l(o) be the first derivative of -o**4/6 + 16*o**3/9 + 80*o**2 - 1536*o - 2952. Factor l(d).
-2*(d - 12)**2*(d + 16)/3
Let l(v) = -6*v**2 + 27*v + 72. Let a(d) = 19*d**2 - 81*d - 240. Let i(h) = 3*a(h) + 10*l(h). Factor i(n).
-3*n*(n - 9)
Let k = -8469 - -8469. Let x(b) be the third derivative of k*b + 0 + 1/96*b**4 + 23*b**2 + 1/240*b**5 - 1/12*b**3. Find z such that x(z) = 0.
-2, 1
Let f(z) be the first derivative of -z**2/2 - 2*z + 41. Let o(r) = -4*r**2 + 244*r + 16. Let n(v) = -8*f(v) - o(v). Suppose n(q) = 0. Calculate q.
0, 59
Factor -1242/11*q - 96/11*q**2 - 2116/11 - 2/11*q**3.
-2*(q + 2)*(q + 23)**2/11
Suppose 264 + 131*k - 1/2*k**2 = 0. What is k?
-2, 264
Let s = 158113 + -1739229/11. Factor 16/11*k + 0 - s*k**2 - 2/11*k**3.
-2*k*(k - 1)*(k + 8)/11
Let s(i) be the second derivative of i**6/120 + 13*i**5/60 + 89*i**2/2 + 40*i. Let k(v) be the first derivative of s(v). Factor k(d).
d**2*(d + 13)
Let g(s) be the third derivative of -s**9/45360 + s**7/3780 - 23*s**5/30 - 43*s**2. Let c(q) be the third derivative of g(q). Factor c(w).
-4*w*(w - 1)*(w + 1)/3
Suppose 0 = c + 3, 43 - 46 = 2*m + 3*c. Let i be (1/21*m)/(115/460). Factor 6/7*a**2 + 2/7*a**3 + i*a + 0.
2*a*(a + 1)*(a + 2)/7
Let l be 133590/(-140) - (-14)/(-49). Let z = l - -957. Suppose -2 - z*y - 1/2*y**2 = 0. Calculate y.
-4, -1
Let z be 2/12*4*111/37. Determine n, given that 15175 - 15175 - 60*n - 40*n**z - 5*n**3 = 0.
-6, -2, 0
Let v be (-4 + (-312)/(-15))/((-6)/(-90)). Let -35*f**4 + 172*f + 18*f**3 + 3*f**5 + 48*f**3 + v*f**2 - f**4 - 25*f = 0. What is f?
-1, 0, 7
Solve -404*z**2 - 3*z**4 - 5521*z - 12*z**3 + 5001*z - z**4 - 68*z**3 = 0 for z.
-13, -5, -2, 0
Let j = -130510 - -396419/3. Let z = j + -1629. Suppose -z*a**2 - 10/3*a - 4 = 0. Calculate a.
-3, -2
Factor 194*v**2 - 54 + 122827*v + 246 - v**3 - 123212*v.
-(v - 192)*(v - 1)**2
Let u(y) be the first derivative of -y**6/8 + 33*y**5/20 + 3*y**4/8 - 11*y**3/2 - 3*y**2/8 + 33*y/4 + 1140. Suppose u(o) = 0. Calculate o.
-1, 1, 11
Solve -4/5*t**5 - 7396/5*t**2 - 636/5*t**3 + 15232*t + 116/5*t**4 - 35280 = 0 for t.
-9, 5, 14
Suppose 0 = 5*f - 5, -5 = 3*w - 3*f - 14. Let n = -5 + 8. Factor r**2 + n*r**5 + 27*r**3 + 0*r**2 + 18*r**w - r**2.
3*r**3*(r + 3)**2
Suppose 376 = -6*t + 394. Let y be t/2 + 9/30. Suppose -y*l**2 - 16/5*l + 4/5 = 0. What is l?
-2, 2/9
Suppose -3*z**2 + 0 - 3/5*z**3 + 42/5*z = 0. Calculate z.
-7, 0, 2
Let r = -176 + 180. Factor -17*v**3 + 2*v**2 + r*v**4 - 2*v**4 + 21*v**3.
2*v**2*(v + 1)**2
Let l(b) be the first derivative of -129/8*b**4 - 42*b**2 - 73/2*b**3 - 1/4*b**6 - 24*b - 33/10*b**5 - 10. Factor l(m).
-3*(m + 1)**3*(m + 4)**2/2
Let o be (-18)/(-3)*(-44)/(-33). Factor -7*q + 20 - o*q + 35*q + 5*q**2.
5*(q + 2)**2
Suppose 0 = -3*a - 3*i + 39, 287*a - 23 = 292*a - 3*i. Find f such that -2/3*f**a + 0*f + 0 = 0.
0
Determine d, given that -544/7*d + 456/7 - 214/