a**3 + 35*a**2 + 45*a - 71. Let b(i) = -3*i**2 - i - 1. Let u(x) = b(x) + n(x). Factor u(s).
-4*(s - 9)*(s - 1)*(s + 2)
Let n(l) be the second derivative of 0 + 2/21*l**7 - 46*l + 23/3*l**4 - 8*l**3 - 9/5*l**5 + 0*l**2 - 2/5*l**6. Factor n(d).
4*d*(d - 4)*(d - 1)**2*(d + 3)
What is n in 129*n**4 + 0*n - 4578*n**3 + 0*n + 4098*n**3 - 3*n**5 + 468*n**2 = 0?
0, 2, 39
Suppose -172*b - 6*b = 80*b - 774. Let p(n) be the first derivative of -n**b + 5 + 0*n + 9/16*n**4 + 3/10*n**5 - 3/2*n**2 - 1/8*n**6. Find o such that p(o) = 0.
-1, 0, 2
Let c(x) be the third derivative of x**8/5880 - 11*x**7/2940 - x**3/6 + 82*x**2 - 1. Let n(w) be the first derivative of c(w). Find l such that n(l) = 0.
0, 11
Factor 2/21*y**2 + 6108486/7 - 4036/7*y.
2*(y - 3027)**2/21
Let o(b) be the second derivative of b**6/3 - 3*b**5/4 - 85*b**4/12 - 10*b**3 + 7352*b. Suppose o(y) = 0. Calculate y.
-3/2, -1, 0, 4
Factor 7*a**3 - 122/3*a**2 - 104/3 + 1/3*a**4 + 68*a.
(a - 2)**2*(a - 1)*(a + 26)/3
Let f(w) = -8*w + 83. Let q be f(18). Let y = -425/7 - q. Suppose 1/7*i**2 - y*i + 0 = 0. What is i?
0, 2
Let k(f) be the first derivative of -25*f**3/6 - 265*f**2/4 + 145*f + 183. Find m, given that k(m) = 0.
-58/5, 1
Let s be 451 - (0/(-6) + -6). Let x = s + -2284/5. Factor 3/5*y + 0 + 2/5*y**2 - x*y**3.
-y*(y - 3)*(y + 1)/5
Suppose -39 = -3*q - 111. Let l be -12*((-16)/q + 1/(-1)). Suppose -6*g**2 - 2 + 8 - l*g**2 + 5*g**4 - 1 = 0. What is g?
-1, 1
Let y(i) = -157*i + 29. Let z be y(-6). Let r(t) = 2*t - t - z + 964 + 2*t**2. Let m(p) = -4*p**2 - p + 13. Let v(k) = 6*m(k) + 10*r(k). Factor v(a).
-4*(a - 2)*(a + 1)
Let a(g) = -3*g**3 - 8*g**2 + 14*g - 5. Let m be a(-4). Factor 4*x**5 + 16*x**m + 13*x**3 + 8*x**3 - 45*x**3 - 4*x**4.
4*x**3*(x - 2)*(x + 1)
Factor -u**4 + 544644 - 258*u**3 + 2*u**4 - 224383*u + 18117*u**2 - 10480*u + 44459*u.
(u - 123)**2*(u - 6)**2
Let t be ((-40)/(-64)*26/3)/(735/1323). What is p in 31/2*p + 21/4 - 1/2*p**3 + t*p**2 = 0?
-1, -1/2, 21
Let b(h) = 8*h**4 + 7643*h**3 + 975368*h**2 + 147*h. Let v(c) = 5*c**4 + 5095*c**3 + 650245*c**2 + 105*c. Let x(d) = -5*b(d) + 7*v(d). Factor x(z).
-5*z**2*(z + 255)**2
Let o be (50/875)/(20/1050). Factor -22/7*g**o + 18/7*g**2 + 4/7*g + 0.
-2*g*(g - 1)*(11*g + 2)/7
Suppose 3*o + 225*a - 227*a - 568 = 0, -4*o - 4*a + 624 = 0. Let -2356/5*c**3 - 1072/5*c + 32 - 20*c**5 + o*c**4 + 2488/5*c**2 = 0. What is c?
2/5, 1, 2, 5
Suppose 690 - 81*f**2 - 335*f - 137*f**2 + 213*f**2 = 0. Calculate f.
-69, 2
Suppose 25*z - 296 = -246. Let j(f) be the second derivative of 0 - 5/27*f**4 + 1/90*f**5 - 32/9*f**z + 31*f + 32/27*f**3. Suppose j(c) = 0. Calculate c.
2, 4
Let t(w) be the first derivative of 20*w**3/27 - 137*w**2/9 - 28*w/3 + 8311. Determine o, given that t(o) = 0.
-3/10, 14
Factor -100489/4 + 317/2*p - 1/4*p**2.
-(p - 317)**2/4
Suppose 576/5 - 579/5*u + 3/5*u**2 = 0. Calculate u.
1, 192
Factor -5*k**3 + 74634*k**2 - 75735*k**2 + 3*k**3 - k**3.
-3*k**2*(k + 367)
Suppose 4*w = 3*j + 18, 0 = 5*w - j + 2 - 19. Let i(a) = -a**3 + 5*a**2 + a + 1. Let s be i(5). Suppose -s*l - 2 - 4*l - 2*l**2 - w*l + 9*l = 0. Calculate l.
-1
Let u(j) be the third derivative of j**7/630 + j**6/180 - 2*j**5/5 + 5*j**4/24 + j**3/3 - 7*j**2. Let k(d) be the second derivative of u(d). Factor k(c).
4*(c - 3)*(c + 4)
Let o(m) be the first derivative of 6 - 3/2*m**3 + 1/40*m**5 + 1/16*m**4 + 0*m + 7/2*m**2. Let h(x) be the second derivative of o(x). Let h(a) = 0. Calculate a.
-3, 2
Let b be (10/(-8))/(1053 - 1058). Factor -5/4*i**2 - b*i**3 - i + 0.
-i*(i + 1)*(i + 4)/4
Let v(p) be the second derivative of 0*p**2 - 5/3*p**4 - 8/9*p**3 + 7*p - 13/30*p**5 + 1. Suppose v(i) = 0. Calculate i.
-2, -4/13, 0
Let q(g) be the second derivative of g**5/5 - 1321*g**4 + 3490082*g**3 - 4610398322*g**2 + g + 799. Suppose q(i) = 0. What is i?
1321
Let c = -609938/5 + 122000. Let -2/5*l**4 + c*l - 4 - 66/5*l**2 + 26/5*l**3 = 0. Calculate l.
1, 10
Let x(s) = 40*s + 242. Let h be x(-6). Let 70 - 22*y + 20 + 43 + 3*y**2 + h - 32*y = 0. Calculate y.
3, 15
Factor -36/7*w**2 - 24/7*w + 80/7 + 2*w**3.
2*(w - 2)**2*(7*w + 10)/7
Let v(u) be the first derivative of -7/2*u**2 - 13 - 5/3*u**3 + 0*u + 5/8*u**4 - 1/12*u**5. Let h(x) be the second derivative of v(x). Let h(o) = 0. What is o?
1, 2
Let w = -225/719 - -2113/2157. Find x, given that -16 - 76/3*x - 10*x**2 - w*x**3 = 0.
-12, -2, -1
Let y = 22425266 - 42249202549/1884. Let r = 2/471 - y. Factor -3*m - 3/2*m**2 + 6 + r*m**3.
3*(m - 2)**2*(m + 2)/4
Let l be 477/106*(2/(-5))/(165/(-1595)). Determine g, given that -l*g - 18 + 3/5*g**2 = 0.
-1, 30
Let v(r) be the second derivative of 0*r**2 + 1/3*r**4 - 1/39*r**7 - 2/15*r**6 + 0 - 8/39*r**3 + 3/26*r**5 + 17*r. Let v(f) = 0. Calculate f.
-4, -1, 0, 2/7, 1
Suppose 17*u - 5*y = 19*u - 5, -4 = u - 4*y. Let m(c) be the first derivative of -3/2*c**4 + 12 + 3/5*c**5 + c**3 + u*c + 0*c**2. Solve m(d) = 0 for d.
0, 1
Let v(m) be the second derivative of -49*m**4/6 + 3137*m**3/12 - 4*m**2 - 15086*m. Suppose v(x) = 0. Calculate x.
1/196, 16
Let v be (40/(-6))/(-4) - 71/3. Let s(y) = -5*y - 110. Let f be s(v). Find q such that -2/9*q**3 + 2/9*q**5 + 0*q + 2/9*q**2 - 2/9*q**4 + f = 0.
-1, 0, 1
Let u(m) be the second derivative of -11*m**3/6 + 161*m**2 + 65*m. Let z be u(29). Let -4/7*d**z + 12/7*d**2 - 8/7*d + 0 = 0. Calculate d.
0, 1, 2
Let o(s) be the first derivative of -s**4/14 + 34*s**3/21 - 54*s**2/7 - 144*s/7 + 2484. Factor o(f).
-2*(f - 12)*(f - 6)*(f + 1)/7
Let g(p) be the first derivative of 5*p**3/3 - 17775*p**2 + 63190125*p + 5873. Factor g(m).
5*(m - 3555)**2
Let b(k) be the first derivative of -1/6*k**5 + 0*k**2 + 38/3*k**3 - 1/3*k**4 + 26 + 0*k - 5/144*k**6. Let i(s) be the third derivative of b(s). Factor i(y).
-(5*y + 4)**2/2
Let o(z) = -28*z**3 - 7*z - 16. Let h be o(-2). Let n = -222 + h. Find b, given that 4/5*b**3 + n*b + 2/5*b**5 + 0 + 0*b**2 - 6/5*b**4 = 0.
0, 1, 2
Let i(d) = 4*d**2 + 16*d - 4. Let o be i(-5). Let 12 - o*j**2 + 15*j - 8*j**3 + 4*j**4 + 3*j - 10*j = 0. Calculate j.
-1, 1, 3
Let t(w) be the third derivative of 45 + 9/2*w**3 + 3*w**2 + 0*w - 97/60*w**5 + 133/48*w**4 + 7/240*w**6. Factor t(j).
(j - 27)*(j - 1)*(7*j + 2)/2
Let p(r) be the first derivative of -2*r**5/25 + 23*r**4/10 + 472*r**3/15 + 372*r**2/5 - 4848. Solve p(n) = 0 for n.
-6, -2, 0, 31
Let h(o) = -466*o + 23. Let c be h(-1). Let p = 2447/5 - c. Factor -3/5*t - 1/5*t**2 - p.
-(t + 1)*(t + 2)/5
Let a(b) be the third derivative of -b**7/1260 - b**6/108 + 23*b**3/2 + 2*b**2 + 48*b. Let p(r) be the first derivative of a(r). Solve p(l) = 0.
-5, 0
Suppose 35*j - 1817 + 32 = 0. Let b be 2/7 + 817/7. Factor 15*f**4 - 20*f**2 + j*f - b*f + 46*f + 25*f**3.
5*f*(f - 1)*(f + 2)*(3*f + 2)
Let i(r) be the second derivative of -25/9*r**3 + 4*r**2 + 315*r - 1/30*r**5 + 0 + 7/9*r**4. Factor i(m).
-2*(m - 12)*(m - 1)**2/3
Suppose -4*x + 24*c + 3 = 21*c, 3*x - c = 6. Let -32*r**2 + 30 + 4*r**4 - 30 - 4*r**x - 8*r**2 - 32*r = 0. What is r?
-2, -1, 0, 4
Let z(s) = -11*s**5 - 28*s**4 - 53*s**3 + 20*s**2 + 7. Let h(p) = 6*p**5 + 14*p**4 + 26*p**3 - 14*p**2 - 4. Let u(i) = -7*h(i) - 4*z(i). Factor u(k).
2*k**2*(k + 1)*(k + 3)**2
Suppose -4*a**2 + 1/4*a**3 + 25/4*a + 21/2 = 0. Calculate a.
-1, 3, 14
Let n(u) = -46962*u + 93934. Let s be n(2). Let 5/3*c**3 - 25/3*c - s + 10/3*c**2 = 0. What is c?
-3, -1, 2
Suppose -5*k + 2*o = 726, 7*k = 3*k - 3*o - 567. Let u = k + 144. Factor 0 + u*x**3 - 1/4*x**5 + 0*x**2 + 0*x - 1/2*x**4.
-x**4*(x + 2)/4
Let b(u) be the third derivative of -u**5/30 + 29*u**4/12 - 18*u**3 - 951*u**2 + 1. Solve b(x) = 0.
2, 27
Suppose -464/7*d**2 + 180/7*d**3 - 120/7 + 8/7*d**4 + 58*d - 10/7*d**5 = 0. Calculate d.
-5, 4/5, 1, 3
Let h(k) = -105*k - 4200. Let n be h(-40). Let b(s) be the second derivative of 4/15*s**3 + n + 5*s - 1/30*s**4 + 0*s**2. Factor b(m).
-2*m*(m - 4)/5
Let c be (-22)/(-165)*(2 - 6/(6 - -6)). Let u(p) be the third derivative of -2/75*p**5 + 0 - 2*p**2 + 0*p - 7/60*p**4 - c*p**3. Solve u(q) = 0 for q.
-1, -3/4
Let u = 180 - 177. Factor -2*d**u + 41881 + 6*d**3 - 8*d + 24*d**2 - 52*d - 41849.
4*(d - 1)**2*(d + 8)
Let v(r) be the first derivative of -2/15*r**3 + 8/5*r**2 + 23 - 6*r. Factor v(h).
-2*(h - 5)*(h - 3)/5
Let p(i) be the third derivative of -i**5/450 - 73*i**4/45 + 59*i