z). Factor m(l).
-2*l**2*(l - 1)*(l + 1)
Let s be ((-2)/(-4))/(7/6). Let g be 54*((-2466)/3402)/(-137). Suppose 0 + s*x**2 + 0*x**3 + g*x - 1/7*x**4 = 0. Calculate x.
-1, 0, 2
Determine s, given that 421*s**3 + 20*s**2 - 224*s - 419*s**3 - 128*s**2 = 0.
-2, 0, 56
Let f = -428/7 + 432/7. Let n(z) be the second derivative of -7/10*z**5 - 32/21*z**3 + 4*z - 11/6*z**4 - f*z**2 + 0. Solve n(p) = 0 for p.
-1, -2/7
Let h be (-1049)/(-91) - 47/(10857/495). Determine s, given that -h*s + 60/13 - 2/13*s**3 + 64/13*s**2 = 0.
1, 30
Let u(t) be the first derivative of -16*t**3 - 2/25*t**5 - 64/5*t**2 + 21/10*t**4 + 161 + 3072/5*t. Find o such that u(o) = 0.
-3, 8
Suppose 7*y = 9*y + 3*d - 16, 4*y = -5*d + 28. Determine g so that 1 + g + 15 + 5*g - y*g - 2*g**2 = 0.
-2, 4
Let u(g) be the third derivative of g**5/60 - 4*g**4/3 - 34*g**3/3 + 4204*g**2. Factor u(q).
(q - 34)*(q + 2)
Let i(n) = -31*n + 86. Let o be i(2). Factor -2*y - 5476 + 7*y - y**2 + 61*y + o*y + 58*y.
-(y - 74)**2
Let l(x) = 13*x**2 + 317*x + 340. Let d(u) = -15*u**2 - 314*u - 341. Let p(h) = 6*d(h) + 7*l(h). Factor p(j).
(j + 1)*(j + 334)
Let u(w) be the second derivative of -1/12*w**4 - 1/180*w**5 - 1/2*w**2 - 21*w + 0 - 4/9*w**3. Let l(z) be the first derivative of u(z). Factor l(f).
-(f + 2)*(f + 4)/3
Factor 2/13*t**3 - 336/13 - 60/13*t**2 + 394/13*t.
2*(t - 21)*(t - 8)*(t - 1)/13
Let j(t) = -t**3 + 9*t**2 + 20*t + 24. Let m be j(11). Factor 8*w + 777*w**2 - 389*w**m - 387*w**2.
w*(w + 8)
Let k(q) = 13*q**2 + 896*q - 909. Let i be k(1). Let d be -1 - -1 - 2/(-1). Factor 1/4*p**3 + 0*p**d + i + 0*p.
p**3/4
Suppose 11*m - 18*m = -14. Determine f so that -2*f**4 - 2*f**3 + 20*f**2 + 6*f**m + f - 3*f - 24 + 4*f**3 = 0.
-3, -1, 1, 4
What is n in 4/3*n**3 - 908*n + 0 - 896/3*n**2 = 0?
-3, 0, 227
Let p(d) be the first derivative of 7*d**2 - 1/84*d**4 + 0*d**5 - 22 + 0*d**3 + 1/420*d**6 + 0*d. Let l(k) be the second derivative of p(k). Factor l(x).
2*x*(x - 1)*(x + 1)/7
Let b(i) = -80*i**3 + 3*i**2 + 5*i + 2. Let l be b(-1). Let j(k) = -k**2 - k + 2. Let u be j(0). What is r in 8*r - 48*r - 20 - l - 4*r**u = 0?
-5
Let d = 2529 - 2526. Let b(x) be the second derivative of 1/294*x**7 + 1/28*x**5 + 0*x**2 + 0*x**3 - 1/35*x**6 + 0*x**4 + d*x + 0. Factor b(l).
l**3*(l - 5)*(l - 1)/7
Let r(k) = 2*k**2 + 995*k + 18185. Let n be r(-19). Factor -16/7*q**2 + 0 - 2/7*q**3 - n*q.
-2*q*(q + 1)*(q + 7)/7
Let w(v) be the first derivative of -36/7*v**2 + 2/21*v**3 - 152/7*v - 61. Factor w(t).
2*(t - 38)*(t + 2)/7
Let v be (1 - -1)/((-2)/424). Let i = -422 - v. Suppose 0 - 1/9*n**4 + 0*n + 0*n**i - 2/9*n**3 = 0. What is n?
-2, 0
Let q(u) be the second derivative of -67*u - 179/18*u**4 - 1/90*u**6 - 289/6*u**2 - 1 + 34*u**3 + 3/5*u**5. Find d such that q(d) = 0.
1, 17
Let p(n) be the second derivative of -n**5/4 + 105*n**4/4 + 215*n**3/2 + 325*n**2/2 - 6*n - 5. Factor p(x).
-5*(x - 65)*(x + 1)**2
Factor -306*w + 98/3*w**2 - 2430 - 2/3*w**3.
-2*(w - 27)**2*(w + 5)/3
Let f(c) be the second derivative of 3*c**6/25 - 399*c**5/25 - 538*c**4/15 - 24*c**3 - 162*c + 8. Factor f(a).
2*a*(a - 90)*(3*a + 2)**2/5
Let r(z) be the second derivative of -8*z**7/7 + 444*z**6/5 - 1323*z**5/20 + 55*z**4/4 + 48*z - 4. Factor r(t).
-3*t**2*(t - 55)*(4*t - 1)**2
Let i(p) = -10*p**2 + 106*p - 606. Let d(q) = 33*q**2 - 321*q + 1821. Let z(g) = -2*d(g) - 7*i(g). Find u such that z(u) = 0.
10, 15
Let r(m) be the first derivative of -2*m**3/33 - 2212*m**2/11 - 2446472*m/11 + 5590. Factor r(v).
-2*(v + 1106)**2/11
Let f(g) be the first derivative of g**6/6 - 3*g**5/5 - 3*g**4/4 + 11*g**3/3 - 3*g**2 - 1120. Solve f(l) = 0 for l.
-2, 0, 1, 3
Solve 98/9*t**3 + 80/9*t + 2/9*t**5 + 8/3*t**4 + 0 + 52/3*t**2 = 0 for t.
-5, -4, -2, -1, 0
Let h(v) be the first derivative of 5*v**3/3 + 695*v**2/2 + 3990*v - 14260. Factor h(n).
5*(n + 6)*(n + 133)
Let t(c) = c + 2. Let m(a) = a**2 - 16*a + 20. Let h(g) = -m(g) - 5*t(g). Let w be h(6). Factor w + 0*r**2 + 1/4*r**3 - 1/4*r.
r*(r - 1)*(r + 1)/4
Let h(d) be the first derivative of -4*d**6/45 + d**5/6 + 7*d**4/18 - 2*d**3/9 + 12*d - 33. Let o(c) be the first derivative of h(c). Solve o(f) = 0 for f.
-1, 0, 1/4, 2
Let m(o) be the first derivative of 1/4*o**6 - 1/2*o**3 + 2*o - 2*o**2 + 17/8*o**4 - 13/10*o**5 - 22. Find c, given that m(c) = 0.
-2/3, 1, 2
Suppose -4*a + 417 - 81 = 0. Let w be 21/a - (-38)/8. Let r(k) = 6*k**3 - k**2 - 6*k + 6. Let d(q) = -q**3 + q - 1. Let y(x) = w*d(x) + r(x). Factor y(z).
(z - 1)**2*(z + 1)
Let p be ((-9)/3 - -27)*4/8. Let z be (0 - 6)/p*108/(-7). Find f such that 6/7*f**5 - 48*f**2 + 192/7*f**3 - z*f**4 - 96/7 + 288/7*f = 0.
1, 2
Suppose 13*s = -3*j + 9*s - 9, 5*s = 0. Let u(d) = -d**3 + 24*d**2 - 2*d. Let n(o) = o**3 - 25*o**2 + 3*o. Let a(q) = j*u(q) - 2*n(q). Factor a(b).
b**2*(b - 22)
Let o be ((-12)/10)/((-420)/200). Let p(g) be the second derivative of o*g**2 + 0 - 1/14*g**4 + 1/210*g**6 + 1/140*g**5 - 2/21*g**3 - 28*g. Factor p(w).
(w - 2)*(w - 1)*(w + 2)**2/7
Let r be (-12)/910*1053*((-80)/(-12))/(-1). Factor 72/7*u**2 + 0 - 2/7*u**3 - r*u.
-2*u*(u - 18)**2/7
Let 46/9*k**3 + 58/9*k**2 + 16 - 82/3*k - 2/9*k**4 = 0. Calculate k.
-3, 1, 24
Factor -3*t**3 + 4*t**3 - 14*t**3 + t**5 + 2434*t**2 - 2427*t**2 + 5*t**4.
t**2*(t - 1)**2*(t + 7)
Let a(m) be the first derivative of -m**5/210 + 5*m**4/21 - 19*m**3/21 - 12*m**2 - m - 59. Let v(f) be the second derivative of a(f). Factor v(z).
-2*(z - 19)*(z - 1)/7
Let r(y) = -6*y**3 + 36*y**2 - 52*y + 12. Let j(p) = 7*p**3 - 37*p**2 + 51*p - 15. Let m(d) = -4*j(d) - 5*r(d). Factor m(l).
2*l*(l - 14)*(l - 2)
Let c(o) be the second derivative of -o**6/45 - 2*o**5/3 - 95*o**4/18 + 20*o**3/9 + 32*o**2 - 1814*o. Determine p so that c(p) = 0.
-12, -8, -1, 1
Let g(v) be the second derivative of v**6/600 - v**5/60 + v**4/60 + 4*v**3/15 - 27*v**2/2 - 3*v - 18. Let s(b) be the first derivative of g(b). Factor s(k).
(k - 4)*(k - 2)*(k + 1)/5
Let j be 5*((-80)/(-25) + -2). Let p be 3 + 0 + j/24*-6. Determine y, given that -p*y**2 + 1/2*y**3 + y + 0 = 0.
0, 1, 2
Suppose -8 = 141*v - 145*v. Factor 11*m**2 - 64*m - 6*m**v - 3*m**2 - 66.
2*(m - 33)*(m + 1)
Let v(j) be the second derivative of -j**8/11760 - j**7/980 + j**3/2 + 13*j**2 + 49*j. Let n(u) be the second derivative of v(u). Factor n(s).
-s**3*(s + 6)/7
Let q(j) be the first derivative of 2/3*j**2 - 4/9*j**3 - 7/60*j**5 - 19/36*j**4 - 7*j - 4. Let o(r) be the first derivative of q(r). Factor o(s).
-(s + 1)*(s + 2)*(7*s - 2)/3
Let r = 5 - -19. Factor -3*o**2 - 57*o - 48 + 21*o + 36*o + r*o.
-3*(o - 4)**2
Let n(z) be the first derivative of 75/2*z**2 + 66 + 35*z + 5/4*z**4 + 15*z**3. Let n(f) = 0. Calculate f.
-7, -1
Determine y so that -236*y + 2/5*y**2 + 3522/5 = 0.
3, 587
Solve 27*s**2 - s**5 - 9*s**4 - 18*s**2 + 25*s**3 - 10*s - 14*s**3 = 0 for s.
-10, -1, 0, 1
Suppose 81 + 271 = 137*f - 196. Let g(o) be the first derivative of -f*o**2 - 28*o - 17 - 4/21*o**3. Suppose g(v) = 0. What is v?
-7
Let q(g) = -4*g**2 - 427*g + 33*g**2 + 434*g. Let k = -83 + 44. Let f(u) = 5*u**2 + u. Let i(a) = k*f(a) + 6*q(a). Determine r, given that i(r) = 0.
0, 1/7
Let l(m) be the second derivative of m**6/420 + m**5/21 + 8*m**4/21 + 32*m**3/21 - 9*m**2/2 - 5*m - 1. Let k(y) be the first derivative of l(y). Factor k(a).
2*(a + 2)*(a + 4)**2/7
Let h(b) be the first derivative of 5/42*b**4 - 1/21*b**3 + 2*b + 13 - 5/7*b**2 + 1/70*b**5. Let l(m) be the first derivative of h(m). Factor l(u).
2*(u - 1)*(u + 1)*(u + 5)/7
Find h such that 49*h**5 + 42*h**5 + 397*h**2 - 375*h**4 - 1011*h**3 + 50*h**5 + 1946*h**2 - 183*h - 135*h**5 - 780 = 0.
-4, -1/2, 1, 65
Find k, given that -234/11*k**2 + 0 - 8/11*k = 0.
-4/117, 0
Suppose 10*s - 68*s + 232 + 0 = 0. Let t(v) be the third derivative of -15*v**2 + 0 - 2*v**3 + 0*v + 1/15*v**5 - 1/3*v**s. Solve t(x) = 0 for x.
-1, 3
What is o in 1/5*o**5 + 17/5*o**4 + 0 + 102/5*o**3 + 256/5*o**2 + 224/5*o = 0?
-7, -4, -2, 0
Let o be -39 - (-34 - (-144)/(-16)). Factor -1/8*v**2 + 0 + 1/8*v**3 - 1/8*v + 1/8*v**o.
v*(v - 1)*(v + 1)**2/8
Let w(o) = -o**2 - 4*o + 23. Let k be w(-7). Suppose -10 + 107*l + 3*l**k - l**2 - 118*l - 3*l**2 + 0*l**2 = 0. Calculate l.
-10, -1
Suppose -2183*f + 511*f - 920*f - 1 + 1 - 3*f**2 = 0. Calculate f.
-864, 0
Let n(j) = -j**2 + 12*j + 111. Let d 