at k(l) = 0.
-2, -1, 0
Let u(x) = x**2 + x + 1. Suppose 5 - 1 = 2*c. Let i(s) = 13*s**2 + 3*s + 1 - 9*s**2 - c*s. Let l(f) = 2*i(f) - 10*u(f). Factor l(a).
-2*(a + 2)**2
Let y be 3*(15 - (18 + (-35)/7)) - 6. Determine k so that -8/5*k**2 + 0*k + y + 16/5*k**3 + 2*k**4 = 0.
-2, 0, 2/5
Factor -1167 - 2198*k**2 + 99*k**2 + 25*k**2 + 2*k**3 - 245 + 4142*k - 658.
2*(k - 1035)*(k - 1)**2
Let k(y) be the third derivative of -y**5/450 + 103*y**4/90 - 41*y**3/9 - 2490*y**2. Factor k(h).
-2*(h - 205)*(h - 1)/15
Let j(x) be the second derivative of 0*x**2 - 26*x + 0 + 1/16*x**5 + 0*x**3 - 5/48*x**4. What is y in j(y) = 0?
0, 1
Let s = -770 + 5399/7. Suppose 8993 = -10*g + 9023. Factor 24/7*d**g + 12/7*d**2 + s*d**5 - 33/7*d**4 + 0 + 0*d.
3*d**2*(d - 2)**2*(3*d + 1)/7
Suppose 164/5 + 47/5*j**4 + 496/5*j + 109*j**2 + 1/5*j**5 + 259/5*j**3 = 0. Calculate j.
-41, -2, -1
Let q = 68188 - 613691/9. Factor q*u**2 - 8/3*u - 25/9.
(u - 25)*(u + 1)/9
Let f(m) = m**3 + 4*m**2 + m - 1. Let i be f(-2). What is a in -2763 + i*a + 30*a + 2729 + 2*a**2 - 3*a = 0?
-17, 1
Suppose -37*u + 113 + 146 = 0. Suppose u*w = 17 - 17. Factor -1/4*f**4 + 0*f**2 + w*f + 0 + 0*f**3.
-f**4/4
Let a be 1*-9 + 3 + 12/(-300)*-230. Find r, given that -16/5*r + 8*r**4 - a*r**2 + 28/5*r**3 + 12/5*r**5 + 0 = 0.
-2, -1, 0, 2/3
Let m(l) be the first derivative of l**4/10 - 22*l**3/5 + 116*l**2/5 - 7555. Factor m(x).
2*x*(x - 29)*(x - 4)/5
Let b = -129 + 125. Let r(h) = 5*h**2 + 3*h - 5. Let n(f) = -6*f**2 - 2*f + 4. Let k(q) = b*r(q) - 5*n(q). Factor k(m).
2*m*(5*m - 1)
Let x be 0 - (12/(-20))/((-16)/(-20)). Let a = -393/2 - -198. Let a - x*g - 3/4*g**2 = 0. Calculate g.
-2, 1
Factor -630*f**2 - 3*f**4 + 2921*f**3 - 2221*f**3 - 1339*f**3 + 1272*f.
-3*f*(f - 1)*(f + 2)*(f + 212)
Let i(s) = 17*s**4 + 2*s**3 - 77*s**2 + 286*s - 183. Let d(o) = 4*o**4 - 20*o**2 + 72*o - 46. Let n(b) = 9*d(b) - 2*i(b). Let n(y) = 0. What is y?
-4, 1, 2, 3
Let n(f) be the third derivative of f**5/40 + 15*f**4/16 + 13*f**3/2 + f**2 + 804. Factor n(l).
3*(l + 2)*(l + 13)/2
Let i be -510*(-22)/9240 + 20/(-28). Factor -16*x + 10 + 13/2*x**2 - i*x**3.
-(x - 10)*(x - 2)*(x - 1)/2
Let v = -1670 - -1670. Let i(b) be the third derivative of v*b**4 + 0 + 18*b**2 - 1/60*b**6 + 0*b**3 + 1/10*b**5 + 0*b. Suppose i(n) = 0. What is n?
0, 3
Let a(b) = -b + 5. Let g be a(9). Let s be (-3)/(30/g) - (-78)/30. Factor 54 - 11*p**2 - p**3 - 54*p - 4*p**3 + 29*p**2 + s*p**3.
-2*(p - 3)**3
Let p(h) be the second derivative of 5*h**4/36 - 53*h**3/2 + 95*h**2/3 - 633*h. Determine w so that p(w) = 0.
2/5, 95
Let y(r) be the third derivative of 1/15*r**5 + 1/30*r**6 + 0*r + 0*r**3 + 2 + 0*r**4 - 3*r**2 + 1/210*r**7. Factor y(d).
d**2*(d + 2)**2
Let d(n) be the first derivative of -4*n**3/21 - 838*n**2/7 + 240*n + 1304. Determine r, given that d(r) = 0.
-420, 1
Let z(a) be the third derivative of -a**5/90 - 11*a**4/18 + 80*a**3 + 2421*a**2. Factor z(t).
-2*(t - 18)*(t + 40)/3
Solve 223*j - 656*j + 5*j**3 + 150 + 180*j + 98*j = 0.
-6, 1, 5
Let x = -2014 - -24169/12. Let i(f) be the second derivative of -1/40*f**5 + 0 + 0*f**2 - 1/12*f**3 + x*f**4 + 17*f. Factor i(r).
-r*(r - 1)**2/2
Suppose -966 = f - 1688. Find o such that -f + 846*o - 464*o - 2*o**2 - 458*o = 0.
-19
Let z = -44665 + 44667. Determine m so that -44/3*m - 20/3 - 4/3*m**3 - 28/3*m**z = 0.
-5, -1
Let i(r) = r**2 - 22. Let a(h) = 30*h**2 + 260*h - 550. Let z(g) = -a(g) + 25*i(g). Let z(b) = 0. Calculate b.
-52, 0
Let y = 210 - 207. Factor -12 - 2*o**y - 13*o**2 + 10*o + 26*o**2 - 9*o**2.
-2*(o - 3)*(o - 1)*(o + 2)
Let v(j) be the second derivative of j**6/225 - 11*j**5/75 + 28*j**4/15 - 58*j**3/5 + 189*j**2/5 + 5702*j. Let v(o) = 0. Calculate o.
3, 7, 9
Let u = 84 - 79. Factor -1 - 13*n**3 + 18*n**3 + 1 + u*n**2.
5*n**2*(n + 1)
Let q(r) = r**2. Let j(m) be the second derivative of m**5/20 - m**4/2 - m**3/2 + m**2 - 3*m. Let k = 131 - 132. Let y(x) = k*j(x) - 6*q(x). Factor y(o).
-(o - 1)**2*(o + 2)
Let k(c) be the third derivative of c**6/180 - c**5/12 - c**4/2 - 20*c**3/3 + 17*c**2 + 1. Let l(h) be the first derivative of k(h). What is b in l(b) = 0?
-1, 6
Let m = -36 + 34. Let z be 42/10 + m/10. Factor 42*a**3 + 1216*a**z - 6*a**3 - 1213*a**4 - 14*a**2 + 122*a**2.
3*a**2*(a + 6)**2
Let h(t) = 248*t**3 + 764*t**2 + 512*t + 4. Let p(r) = r**4 + 3*r**2 + 2*r + 2. Let i(k) = -2*h(k) + 4*p(k). Factor i(y).
4*y*(y - 127)*(y + 1)*(y + 2)
Let n be 424619/12727 + (-62)/2. Factor -n*p**2 + 2*p + 4/11.
-2*(p - 1)*(13*p + 2)/11
Let o(u) = -15*u + 66. Let m be o(4). Let g be 4/m*(2 - -1) - 1. Find z such that -g + 3/2*z - 1/2*z**2 = 0.
1, 2
Let z(h) be the third derivative of 21/2*h**3 + 201/80*h**5 + 4*h**2 + 0*h + 3 + 8*h**4 + 9/160*h**6. Let z(o) = 0. Calculate o.
-21, -2/3
Let b(q) = -q**2 + 4*q - 7. Let y(x) = 2*x - 5*x + 15 + 2*x**2 + 2*x - 7*x. Let p(j) = -9*b(j) - 4*y(j). Factor p(g).
(g - 3)*(g - 1)
Suppose s - 11 = 3*r - 6, 0 = 2*s - 5*r - 9. Factor 677*j + 73*j - 96*j**s + 18*j + 3*j**3 + 0*j**3.
3*j*(j - 16)**2
Let b(g) be the second derivative of 7*g**5/90 + 2651*g**4/54 - 758*g**3/27 - 8239*g. Let b(o) = 0. What is o?
-379, 0, 2/7
Let o be 1/6*(-2280)/(-732). Let g = o - -9/61. Factor g*q**2 + 0 - 4/3*q.
2*q*(q - 2)/3
Let y(r) be the third derivative of r**7/8820 + r**6/840 - r**5/105 + 73*r**4/24 - 3*r**2 + 2. Let x(m) be the second derivative of y(m). Factor x(v).
2*(v - 1)*(v + 4)/7
Let y(b) be the second derivative of 2*b**7/7 - 14*b**6/15 - 3*b**5 + 5*b**4 + 64*b**3/3 + 24*b**2 + 495*b. Find h such that y(h) = 0.
-1, -2/3, 2, 3
Find b such that 5*b**3 + 11*b + 107*b - 13*b + 120*b**2 + 41 - 271 = 0.
-23, -2, 1
Factor -60*s**2 - 194*s + 322 - 779 - 4*s**3 + 265 - 54*s.
-4*(s + 1)*(s + 6)*(s + 8)
Factor -446/19 + 2/19*d**2 - 444/19*d.
2*(d - 223)*(d + 1)/19
Let n be (10/45 - 308/495) + -176*(-1)/90. Factor 34/9*p**4 + 2*p**5 + n*p**3 - 2/9*p**2 + 0*p + 0.
2*p**2*(p + 1)**2*(9*p - 1)/9
Suppose 4*q = -4*l - 24, 25*q - 21*q = -12. Let u be 21/77*l + 1. Factor 4/11 - u*f**2 + 2/11*f.
-2*(f - 2)*(f + 1)/11
Let r = 254077/10 - 50777/2. Factor -r - 4/5*k**2 + 8*k.
-4*(k - 6)*(k - 4)/5
Let n(i) = -202*i**3 - 1142*i**2 + 51881*i. Let k(t) = -93*t**3 - 570*t**2 + 25941*t. Let d(h) = 13*k(h) - 6*n(h). Factor d(f).
3*f*(f - 93)**2
Suppose 3*k - 3*j = 6, 35*k - 39*k + j + 8 = 0. Find b, given that 0 + 4/9*b**4 + 8/9*b + 2/3*b**3 - 2/9*b**5 - 16/9*b**k = 0.
-2, 0, 1, 2
Suppose 147*r = 142*r - 5*g, g = -4*r. Suppose -5*w + 31 = -8*y + 10*y, -3*w + 15 = r. Find j such that -y*j - 27/5*j**2 + 12/5 = 0.
-1, 4/9
Let q(t) = 5*t + 4. Let h be q(2). Suppose -h*z - 2 = -16*z. Factor 8*p + z + 2*p**2 - 6*p - 1.
2*p*(p + 1)
Let c = -9123 - -9144. Solve -51/4*u - c*u**4 - 48*u**3 - 153/4*u**2 - 3/2 = 0.
-1, -1/2, -2/7
Suppose -p - 2*j + 84 = 2*p, -84 = -3*p + j. Let s be -3*(83/(-3) - -3). Factor 10*x - 6 + 20*x**2 + 24*x**2 + p*x**2 - s*x**2 - 2*x**3.
-2*(x - 1)**2*(x + 3)
Let q be (-24)/(-14) + 18/63. Suppose q*n - 8 = -2. Factor z**3 - 2*z**5 + 4*z**5 + 2*z**4 - n*z**3 - 4*z**2 + 2*z**2.
2*z**2*(z - 1)*(z + 1)**2
Suppose -2*f + 10 = 2*w - 4*f, 5*w = -2*f + 4. Solve -2555 - 308 - 59*i - 6249 - 413*i - 4*i**w - 4812 = 0 for i.
-59
Find x such that 0*x**2 - 20/9*x**3 - 2/9*x**4 + 500/9*x + 1250/9 = 0.
-5, 5
Let g be 48/(-10)*12000/(-3840). Suppose 5/2*s**5 - g*s**3 + 25/2*s - 10*s**4 + 0 + 10*s**2 = 0. What is s?
-1, 0, 1, 5
Suppose 5*z + 9*m - 64 = 0, 3*z + 167 = -3*m + 191. Factor 42/5 + 4/5*q**z - 34/5*q.
2*(q - 7)*(2*q - 3)/5
Let l(s) be the second derivative of -29/42*s**4 - 2/7*s**5 + 0 + 0*s**2 - 8/21*s**3 - 302*s + 4/35*s**6. Factor l(m).
2*m*(2*m + 1)**2*(3*m - 8)/7
Let j(q) be the first derivative of -q**8/1050 + q**7/300 - q**6/450 - q**5/300 + 23*q**3/3 + 2*q - 122. Let t(c) be the third derivative of j(c). Factor t(p).
-2*p*(p - 1)**2*(4*p + 1)/5
Suppose -42*h + 18*h = -48. Determine q so that -108 + 8*q**2 + 4*q - 6*q**2 + 297*q + 8*q**h - 35*q = 0.
-27, 2/5
Suppose -5*d + 180 = 2*t - 6*t, 3*t + 2*d = -158. Let x = t - -149. Solve b**2 - 4*b + b**3 - b**4 + 3*b - 101 + x + 2*b**2 = 0.
-1, 1, 2
Let x(m) = m**3 + m**2 - 9. Let i be x(0). Let t be 6/i*(-432)/234. Factor 4/13 + t*h**2 - 4/13*h**4 - 2/13*h**5 + 4/13*h**3 + 14/13*h.
-2*(h - 2)*(h + 1)**4/13
Let s be ((-2)/26)/(212/(-5512)). L