*4 + 64/7*k**2 + 2/7*k**5 + 58/7*k = 0.
-5, -1, 1, 6
Let x = -1433 + 1437. Suppose 5*g - 2*r = 26 - 7, -g - 5 = x*r. Factor 0*n + 5/3*n**g + 0 + 0*n**2.
5*n**3/3
Suppose 0 = -12*q + 14*q - 3*y, -5*q + 4*q = 5*y. Let j(f) be the first derivative of 2/11*f**3 - 1/11*f**2 + 2/55*f**5 - 2 - 3/22*f**4 + q*f. Factor j(o).
2*o*(o - 1)**3/11
Let q(j) = -12*j**2 + 34*j + 132. Let m be q(-6). Let x = m - -516. Factor -1/3*d**2 - 4*d - x.
-(d + 6)**2/3
Let n(s) = 3*s**4 + 129*s**3 + 1573*s**2 + 3826*s + 2414. Let j(q) = -4*q**4 - 172*q**3 - 2097*q**2 - 5102*q - 3218. Let i(y) = 7*j(y) + 9*n(y). Factor i(o).
-(o + 1)*(o + 2)*(o + 20)**2
Let d(b) = -172*b**2 - 4624*b - 4661. Let z(k) = 31*k**2 + 925*k + 932. Let j(a) = 2*d(a) + 11*z(a). Factor j(u).
-3*(u - 310)*(u + 1)
Let k(t) = t**3 - t**2 + 6*t + 6. Let v be k(0). Find h, given that -2 - h - 4*h - 2*h**2 + 3*h + v*h = 0.
1
Let u = 78 - 75. Suppose -u*f + 8 - 2 = 0. Factor 47*w - 47*w - w**3 + 2*w**f.
-w**2*(w - 2)
What is v in -1/7*v**3 - 4370547/7*v - 1758416743/7 - 3621/7*v**2 = 0?
-1207
Let w(a) be the first derivative of a**6/15 - 31*a**5/40 - 11*a**4/6 - 3*a**3/4 + 264*a - 25. Let t(m) be the first derivative of w(m). Factor t(g).
g*(g - 9)*(g + 1)*(4*g + 1)/2
Let z = -12 + 12. Suppose t + z*t - 8 = 0. Factor 0 + 0*k**2 + 6*k**2 + 30*k**2 + t + 44*k.
4*(k + 1)*(9*k + 2)
Let b(k) be the second derivative of -k**7/42 + k**6/5 + 7*k**5/10 - 4*k**4 - 13*k**3/6 + 21*k**2 - 5363*k. Let b(u) = 0. What is u?
-3, -1, 1, 2, 7
Let i be (-72 + 85)/(2/6). Let d = i + -271/7. Solve 0*y + 0*y**2 + 0 + d*y**3 = 0 for y.
0
Let d(v) = v**3 - 9*v**2 - 23*v + 13. Let w be d(11). Factor -13*j**3 + 11*j**3 - 12 - 3*j**5 - 75*j**w - 48*j - 33*j**3 + 0*j**3 - 21*j**4 - 22*j**3.
-3*(j + 1)**3*(j + 2)**2
Let k(p) be the first derivative of p**3/7 + 291*p**2/7 - 585*p/7 - 4734. Factor k(g).
3*(g - 1)*(g + 195)/7
Let c(i) be the first derivative of -i**7/40 - 3*i**6/40 + i**5 + 3*i**4/2 - 77*i**3/3 - 13. Let s(x) be the third derivative of c(x). Factor s(d).
-3*(d - 2)*(d + 3)*(7*d + 2)
Let b(a) = a**2 + 5*a + 19. Let s be b(5). Factor 51*h + 790 + 6*h**2 + 410 - 3*h**2 + s*h.
3*(h + 20)**2
Let b(u) = -51*u**2 + 866*u + 20. Let o be b(17). Solve -2/11*q**o - 96/11 - 2*q**2 - 80/11*q = 0 for q.
-4, -3
Let l(c) be the first derivative of -1/270*c**5 - 4/27*c**3 + 5/108*c**4 + 0*c + 8 + 7/2*c**2. Let g(y) be the second derivative of l(y). Factor g(u).
-2*(u - 4)*(u - 1)/9
Let a(c) be the third derivative of -c**7/1470 + c**6/30 - 27*c**5/70 - 45*c**4/14 + 225*c**3/14 + 1855*c**2. Let a(b) = 0. Calculate b.
-3, 1, 15
Let b be (-5)/6 + 203511/15858. Factor -b*f - 10/3*f**2 + 16/3.
-2*(f + 4)*(5*f - 2)/3
Let -2/7*c**4 + 0*c**3 + 0 + 0*c + 0*c**2 - 1/7*c**5 = 0. What is c?
-2, 0
Solve 68/5*b**2 + 16/5*b**3 - 96/5*b - 144/5 - 4/5*b**4 = 0 for b.
-3, -1, 2, 6
Let t(i) be the first derivative of 4*i**3/27 + 1262*i**2/9 - 2528*i/9 + 3504. Solve t(j) = 0 for j.
-632, 1
Let l(c) be the second derivative of -8/9*c**3 - 1/108*c**4 - 19*c - 2 - 32*c**2. Factor l(x).
-(x + 24)**2/9
Let f be (1008/(-378))/(477/54 + -10). Factor 16/7*h + 64/7 - 9*h**2 - f*h**3 - 1/7*h**4.
-(h - 1)*(h + 1)*(h + 8)**2/7
Let s(y) be the second derivative of -2*y**6/9 - 52*y**5/15 - 100*y**4/9 - 64*y**3/9 + 24*y + 15. What is v in s(v) = 0?
-8, -2, -2/5, 0
Suppose 70 = 3*r + 61. Let h(b) = 26 - r*b**2 - 26 + b. Let i(v) = -13*v**2 + 5*v. Let s(z) = 18*h(z) - 4*i(z). What is y in s(y) = 0?
-1, 0
Determine u so that 232/3 - 370/3*u**4 - 2*u**5 - 1298/3*u**3 - 426*u**2 - 112/3*u = 0.
-58, -2, -1, 1/3
Let j be (40/(-15))/4*(-10 + 13). Let u be ((-7)/(-9))/(j/(-168)). Let -2932/3*r**2 - 1729/3*r**4 - u*r**5 - 4468/3*r**3 - 64/3 - 736/3*r = 0. What is r?
-4, -2/7, -1/4
Let p(m) = 4*m**2 + 4*m - 12. Let k(t) be the second derivative of -t**4/4 - 2*t**3/3 + 5*t**2 + 22*t + 2. Let l(w) = 6*k(w) + 5*p(w). Factor l(o).
2*o*(o - 2)
Let l = 269081/3 - 89693. Let 0 - l*z**3 + 8/3*z**2 - 2*z = 0. Calculate z.
0, 1, 3
Find s such that 8282884/5 - 5756/5*s + 1/5*s**2 = 0.
2878
Find v, given that 22*v + 42*v - 54*v**3 + 280 + 0*v - 10*v - 320*v**2 - 2*v**4 + 42*v**2 = 0.
-20, -7, -1, 1
Let d(s) be the first derivative of -s**6/75 - s**5/50 + 2*s**4/15 + 4*s**3/15 - 48*s - 7. Let g(r) be the first derivative of d(r). Solve g(b) = 0 for b.
-2, -1, 0, 2
Let i(o) be the second derivative of o**9/6804 + o**8/1890 - o**6/405 - o**5/270 - 31*o**3/6 + 40*o. Let c(h) be the second derivative of i(h). Factor c(q).
4*q*(q - 1)*(q + 1)**3/9
Let n(j) be the second derivative of -15*j**2 + 0 - j**4 + 17/2*j**3 - 42*j. Let i(b) = b**2 - b - 1. Let z(l) = 3*i(l) - n(l). Determine c so that z(c) = 0.
3/5, 3
Suppose 4*v - 5*n + 11 = 0, -4*v = -2*n + 5*n - 13. Let s be (4/(-7))/(50/(-245)*v). Factor -49/5 - 1/5*t**2 - s*t.
-(t + 7)**2/5
Let r = 2438748/7 + -348378. Factor 4 + 2*z**2 + r*z.
2*(z + 7)*(7*z + 2)/7
Let n(g) be the third derivative of -g**5/42 + 757*g**4/84 - 302*g**3/21 + 436*g**2. Let n(p) = 0. What is p?
2/5, 151
Let k be (6/8 + (-1040)/2496)*0. Factor k - 13*d + 1/3*d**2.
d*(d - 39)/3
Let n(f) = 5*f**3 + 411*f**2 + 1254*f + 6. Let j(o) = 30*o**3 + 2467*o**2 + 7538*o + 37. Let g(r) = 6*j(r) - 37*n(r). Factor g(m).
-5*m*(m + 3)*(m + 78)
Suppose 4 = n + 10749*t - 10750*t, 0 = n - 2*t - 6. Factor 2/23*z**3 - 4/23 - 2/23*z + 4/23*z**n.
2*(z - 1)*(z + 1)*(z + 2)/23
Factor 10342*t**2 - 10446*t**2 - 2*t**4 - 1170*t**3 + 1204*t**3.
-2*t**2*(t - 13)*(t - 4)
Let l(g) be the first derivative of -2*g**5/5 + 9*g**4 + 74*g**3 + 92*g**2 + 11382. Let l(j) = 0. Calculate j.
-4, -1, 0, 23
Let i be ((-585)/30)/13*-2. Let n(j) be the first derivative of 0*j**2 + 3/5*j**i + 3/10*j**4 + 0*j + 1/25*j**5 + 14. Factor n(d).
d**2*(d + 3)**2/5
Let j(d) be the first derivative of -34 + d - 1/2*d**2. Let n(s) = -s**2 + 11*s - 8. Let w(i) = -24*j(i) - 3*n(i). Factor w(x).
3*x*(x - 3)
Let f(z) = 9*z + 1. Let d(o) = 2*o**3 + 36*o**2 - 728*o - 778. Let w(k) = d(k) - 2*f(k). Suppose w(i) = 0. Calculate i.
-30, -1, 13
Let b be 945/25 - -49*105/(-17150). Factor b + 65/4*x + 5/4*x**2.
5*(x + 3)*(x + 10)/4
Suppose 242/3*n**2 - 2/3*n**3 + 0 - 2/3*n**4 + 242/3*n = 0. What is n?
-11, -1, 0, 11
Suppose -16*y + 67*y - 102 = 0. Let u(i) be the second derivative of 2*i - 5/63*i**3 - 1/126*i**4 - 2/7*i**y + 0. Factor u(r).
-2*(r + 2)*(r + 3)/21
Suppose -4*j + 5*x - 9*x + 20 = 0, -3*j + 3*x + 21 = 0. Factor -16*y**3 + 231*y + y**4 - 7*y**4 - j*y**2 - 227*y.
-2*y*(y + 1)*(y + 2)*(3*y - 1)
Factor -103*k**3 + 812*k**2 + k**4 + 149*k**3 - 140*k**2 + 2560*k - 8192.
(k - 2)*(k + 16)**3
Let l be (16/(-12))/((-2)/3)*-8. Let o be ((-26)/8 + 12/l)*-1. Solve -6*z - 2*z - 122*z**4 + 59*z**4 - 69*z**o + 70*z**5 + 24*z**2 + 46*z**3 = 0.
-2/5, 0, 2/7, 1
Let l be 608/(-1) + (9 - (6 + 7)). Let h = l - -4288/7. Solve 12/7*g**2 + 12/7*g**3 + 0 + 4/7*g**4 + h*g = 0.
-1, 0
Let k(r) be the third derivative of -1/6*r**4 + 0*r**5 + 0 + 0*r - 1/1344*r**8 + 117*r**2 + 1/60*r**6 + 0*r**7 + 0*r**3. Solve k(p) = 0 for p.
-2, 0, 2
Let f(x) be the second derivative of 5*x**7/42 + 241*x**6/90 - x**5/60 - 91*x**4/12 - 7*x**3/9 + 16*x**2/3 + 1233*x + 1. Suppose f(a) = 0. Calculate a.
-16, -1, -2/5, 1/3, 1
Let k(q) be the second derivative of -13*q**6/45 - 53*q**5/15 - 8*q**4/9 - 2*q - 487. Determine t so that k(t) = 0.
-8, -2/13, 0
Let j(f) be the second derivative of f**4/42 - 248*f**3/21 + 126*f. Determine d, given that j(d) = 0.
0, 248
Let x(l) be the third derivative of -1/120*l**5 + 0*l + 48*l**2 - 5/24*l**3 + 0 - 11/96*l**4. Suppose x(q) = 0. Calculate q.
-5, -1/2
Let u(n) be the second derivative of -n**6/320 + n**5/32 - n**4/16 - 13*n**2 + 25*n. Let s(x) be the first derivative of u(x). Solve s(z) = 0.
0, 1, 4
Factor 279*f**2 - 30*f - 112*f**2 - 27 - 170*f**2.
-3*(f + 1)*(f + 9)
Let i = -68563/24 - -2857. Let s(v) be the third derivative of i*v**6 + 0*v - 1/4*v**5 - 5/24*v**4 + 17*v**2 + 5/6*v**3 + 0 - 1/21*v**7. Solve s(a) = 0.
-1/2, 1
Let g(j) be the second derivative of 25*j**5/4 - 1925*j**4/6 + 1510*j**3/3 - 300*j**2 + 744*j. Factor g(p).
5*(p - 30)*(5*p - 2)**2
Let -87/2*f**4 + 0 + 0*f**2 + 42*f**3 + 0*f + 3/2*f**5 = 0. Calculate f.
0, 1, 28
Let f be 2/(-4)*(1 - 1). Let s(a) = a**2 - 5*a - 201. Let j be s(17). What is c in f + 0*c**j + 8/7*c**2 - 