**3. Let l(y) = 0. What is y?
-19
Let -21*o**3 - 110*o + 6*o**5 - 321/2*o**2 + 107/2*o**4 - 18 = 0. What is o?
-9, -1, -2/3, -1/4, 2
Suppose -28497*d = -28305*d - 470 + 86. Factor -94/7*h**3 - 54*h + 306/7*h**d + 10/7*h**4 + 108/7.
2*(h - 3)**3*(5*h - 2)/7
Find o such that -2*o**5 - 1285*o + 795*o - 160*o - 2028 + 1288*o**2 - 44*o**4 - 132*o**3 = 0.
-13, -1, 2, 3
Let m(p) = p**4 - p**2 + 4*p - 2. Let f(y) = -7*y**2 + 0*y**2 - 4 + 8*y**4 - 3 + 34*y - y**3 - 10. Let q(i) = 6*f(i) - 51*m(i). Suppose q(x) = 0. What is x?
-3, 0, 1
Let w(q) = 11*q**2 + 7533*q + 2835048. Let i(a) = -2*a**2 - a - 1. Let k(o) = -3*i(o) - w(o). Factor k(x).
-5*(x + 753)**2
Determine h, given that -338/7*h + 115/7*h**2 + 32 - 1/7*h**3 = 0.
1, 2, 112
Suppose -124*n**2 - 79725 + 79725 - 59*n - 93*n + 28*n**3 = 0. Calculate n.
-1, 0, 38/7
Let l = -120370/3 + 40124. Suppose -l*p**3 - 2 + 1/3*p + 1/3*p**5 - 2*p**4 + 4*p**2 = 0. Calculate p.
-1, 1, 6
Suppose -12*l + 7707 = 1527. Solve -5007*q**3 - l*q + 595*q**2 - 500 + 5402*q**3 - 95*q**4 + 115*q + 5*q**5 = 0.
-1, 1, 10
Let c = 6267/17 + -14551/51. Factor c*a - 8/3*a**2 - 62/3.
-2*(a - 31)*(4*a - 1)/3
Suppose -39*t + w = -37*t + 8, -4*w + 32 = 2*t. Solve -1/5*r**2 + t + 8/5*r = 0 for r.
0, 8
Let k(l) be the third derivative of -10/3*l**3 - 25/24*l**4 - 1/12*l**5 - 70*l**2 + 0*l + 0. Suppose k(m) = 0. What is m?
-4, -1
Factor -10*q - 2/3*q**3 - 6*q**2 - 14/3.
-2*(q + 1)**2*(q + 7)/3
Suppose -532/3*g**3 - 388/3*g**4 + 14/3*g**5 + 518/3*g + 272/3*g**2 + 116/3 = 0. What is g?
-1, -2/7, 1, 29
Let x be 170/(-20)*(-13 - 2982/(-238)). Suppose -9*f**3 + 4/3*f + 0 - 81*f**x + 8*f**2 = 0. What is f?
-2/9, 0, 1/3
Let p(u) be the first derivative of -44 + 0*u - 5/3*u**3 - 25*u**2. Solve p(x) = 0.
-10, 0
Determine z so that 9/5*z**3 - 39/5*z**2 + 6/5*z + 24/5 = 0.
-2/3, 1, 4
Let p = -12310 - -12322. Let s(h) be the first derivative of 1/12*h**6 + 1/4*h**2 - 2/5*h**5 + 3/4*h**4 - 2/3*h**3 + 0*h + p. Factor s(g).
g*(g - 1)**4/2
Suppose 5*y - 10 = -3*f - 13, y = 4*f - 19. Suppose 6*i = f*i - 2*i. Suppose 0 + 0*b + i*b**3 - 5*b**2 + 5/4*b**4 = 0. Calculate b.
-2, 0, 2
Factor -11030*l**2 + 7440*l + 39*l**3 + 5040*l + 23040 - 24*l**4 - 514*l**3 + 19*l**4.
-5*(l - 2)*(l + 1)*(l + 48)**2
Factor -202/3*l - 41 - 1/3*l**4 - 12*l**2 + 14*l**3.
-(l - 41)*(l - 3)*(l + 1)**2/3
Let w(l) = -20*l**3 - 295*l**2 - 275*l. Let z(k) = -31*k**3 - 443*k**2 - 412*k. Let b(i) = -8*w(i) + 5*z(i). Let b(o) = 0. What is o?
-28, -1, 0
Let j be 446/18 - 23/((-621)/6). Factor -24*w**3 + j*w**3 + w**2 + 11*w**2 - 68*w + 72 + 2*w**2.
(w - 2)**2*(w + 18)
Let x be (148/(-16) - 35/(-28))/(-2). Factor -7 - 25*z**2 - 1 - 16 + 24 + 5*z**x - 20*z**3.
5*z**2*(z - 5)*(z + 1)
Let t = 13598 - 13596. Let l(u) be the second derivative of 0 + 0*u**t + 1/8*u**4 + 7*u + 3/4*u**3. Let l(f) = 0. Calculate f.
-3, 0
Let k(m) be the third derivative of m**8/2856 - 8*m**7/595 + 3*m**6/20 - 13*m**5/51 - 3*m**2 - 3*m + 147. Find g, given that k(g) = 0.
0, 1, 10, 13
Let c(b) = -b**2 + 16*b - 59. Let o be c(9). Suppose 1 + 1023*h**2 - 16*h**3 + 24*h - 1019*h**2 + 4*h**o - 1 = 0. Calculate h.
-1, 0, 2, 3
Let s(t) be the first derivative of -3*t**5/5 - 150*t**4 - 13266*t**3 - 430944*t**2 + 902289*t + 746. Factor s(x).
-3*(x - 1)*(x + 67)**3
Let t(g) be the third derivative of 116*g**2 - 1/210*g**6 + 1/1176*g**8 + 0*g + 0*g**3 + 0*g**7 + 0 + 1/84*g**4 + 0*g**5. Determine b, given that t(b) = 0.
-1, 0, 1
Let p be ((-9834)/363 + 27)*-1. Let 19/11*n**2 + 15/11*n**3 - 6/11 - 1/11*n**4 - p*n - 2/11*n**5 = 0. What is n?
-2, -1, 1/2, 3
Suppose -2*k - 4*a + 383 - 367 = 0, 5*a - 20 = -5*k. Let b(d) be the first derivative of -4*d**2 + 2 + 4/3*d**3 + k*d. Let b(h) = 0. What is h?
0, 2
Let z(k) = k - 77. Let j be z(-11). Let r be (-1 - (-74)/66)*(-132)/j. Factor -8/11*w**4 + 2/11*w + r*w**5 + 12/11*w**3 + 0 - 8/11*w**2.
2*w*(w - 1)**4/11
Solve -2/11*m**4 + 4/11*m**3 + 24/11*m**2 + 10/11 + 28/11*m = 0.
-1, 5
Factor -240 + 19*s - 1/4*s**2.
-(s - 60)*(s - 16)/4
Suppose 68/3*a**2 + 0 - 7/3*a**4 + 0*a + 236/3*a**3 = 0. Calculate a.
-2/7, 0, 34
Let n be (4529/2170 - 2) + 4/(-40). Let m = n - -1246/465. Solve 0 - 16/3*u**2 - 4/9*u**4 + 32/9*u + m*u**3 = 0 for u.
0, 2
Let j(m) = -2*m - 29. Let a be j(-16). Find u, given that 4*u**a - 3*u**2 - 5*u**3 - 2*u**2 + 15*u**3 - 14*u + 9*u**2 - 4 = 0.
-1, -2/7, 1
Let d(a) be the first derivative of -27*a**4/2 - 1564*a**3/5 - 869*a**2/5 - 68*a/5 - 6977. Let d(y) = 0. What is y?
-17, -1/3, -2/45
Factor -108*y + 1/2*y**3 - 126 + 37/2*y**2.
(y - 6)*(y + 1)*(y + 42)/2
Let r(i) = i**2 + 6*i - 39. Let z be r(-9). Let m be ((-1)/3)/(z/108). Suppose -4/3*c + 12*c**m + 12*c**4 - 4/3*c**2 + 0 = 0. What is c?
-1, -1/3, 0, 1/3
Let f = -2217 - -2219. Suppose 19 = -3*m - 5*o, -60*o = f*m - 56*o + 16. Factor -2/9*r**m + 20/9 + 2/3*r.
-2*(r - 5)*(r + 2)/9
Let z(x) = 2*x**2 + 2*x + 6. Let d be z(0). Factor 15 - 9 + q**2 - 9 - d.
(q - 3)*(q + 3)
Let f(s) be the first derivative of -s**6/420 - s**5/30 - 5*s**4/28 - 3*s**3/7 + s**2/2 - 4*s + 32. Let i(v) be the second derivative of f(v). Factor i(u).
-2*(u + 1)*(u + 3)**2/7
Let f = -443 + 445. Factor -3*d**f - 2*d**2 + 31*d - 4571 - 9867 + 393 + 499*d.
-5*(d - 53)**2
Let r(s) be the first derivative of -5/2*s**4 - 45/2*s**2 - 48 + 4*s + 17*s**3. Find y, given that r(y) = 0.
1/10, 1, 4
Let g = 249 - 247. Find s such that 7*s**g + 48*s**4 + 97*s**4 - 35*s - 2*s**2 + 50*s**5 - 10 + 125*s**3 = 0.
-1, -2/5, 1/2
Let v(j) be the second derivative of 17*j**7/210 - j**6/45 - 17*j**5/30 + j**4/3 + 14*j**3/3 - 24*j. Let z(b) be the second derivative of v(b). Factor z(t).
4*(t - 1)*(t + 1)*(17*t - 2)
Let x(y) be the third derivative of 0*y + 59/56*y**4 - 3/140*y**5 + 10/7*y**3 + 56*y**2 + 0. Factor x(q).
-3*(q - 20)*(3*q + 1)/7
Factor 117/7 + 5*a**2 - 1/7*a**3 + 153/7*a.
-(a - 39)*(a + 1)*(a + 3)/7
Factor -951133*j**2 - j**3 - j + 951135*j**2 + 4*j.
-j*(j - 3)*(j + 1)
Let v(u) = 11*u - 99. Let i be v(11). Let n be i/4 + 0 - (-114)/(-76). Factor 8/13*p**3 - 8/13*p**2 + 0*p - 2/13*p**n + 0.
-2*p**2*(p - 2)**2/13
Let u(b) be the second derivative of -2*b**2 - 4/11*b**4 + 116*b + 0 + 1/110*b**5 + 15/11*b**3. Factor u(o).
2*(o - 22)*(o - 1)**2/11
Let l = 563895 - 2819439/5. Suppose 39/5 - 3/5*k**2 - l*k = 0. What is k?
-13, 1
Factor 0*f + 211*f - 15*f**2 + 4*f - f**3 - 23*f**2.
-f*(f - 5)*(f + 43)
Suppose 3*i - 2*f = 3382, 4*i + 5*f - 5101 + 561 = 0. Factor -97*c**3 + 98*c**3 - i*c + 3317*c + 19683 + 81*c**2.
(c + 27)**3
Let u be ((-558)/(-153) + -4)*(116/(-8) - -6). Factor 0 + 18/5*v + 6/5*v**2 - 2*v**u + 2/5*v**4.
2*v*(v - 3)**2*(v + 1)/5
Let l(y) be the first derivative of y**6/2 + 6*y**5/5 - 15*y**4/4 - 6*y**3 - 11422. Factor l(g).
3*g**2*(g - 2)*(g + 1)*(g + 3)
Let w(s) = -2*s**3 - 4*s**2 + 4*s + 3. Suppose -502*l = -530*l. Let b be w(l). Factor -5 - 1/5*j**4 - 12*j - 46/5*j**2 - 12/5*j**b.
-(j + 1)**2*(j + 5)**2/5
Let m(w) be the first derivative of 3*w**4/4 - 3*w**3 - 3*w**2/2 + 9*w - 164. Factor m(l).
3*(l - 3)*(l - 1)*(l + 1)
What is r in -1/7*r**4 + 0 - 13*r**2 + 66/7*r + 26/7*r**3 = 0?
0, 1, 3, 22
Let p be 2/7 - 48/(-28). Suppose 0 = 2*z + p*z - 36. Determine w so that -z*w**2 + 5*w + 10*w + 4 - 3*w - 7 = 0.
1/3, 1
Let v(b) = 23*b**2 - 98*b - 7. Let d be v(6). Let l be (-16 - d/(-15)) + (-4)/(-6). Let -6/5 + w + l*w**2 = 0. What is w?
-6, 1
Let a(u) be the first derivative of 4*u**5/5 + 2*u**4 - 80*u**3/3 + 48*u**2 + 3038. Solve a(k) = 0.
-6, 0, 2
Let j(o) = -32*o**4 - 939*o**3 - 2769*o**2 - 1851*o - 55. Let g(l) = -17*l**4 - 469*l**3 - 1384*l**2 - 926*l - 30. Let w(u) = -11*g(u) + 6*j(u). Factor w(p).
-5*p*(p + 1)*(p + 2)*(p + 92)
Suppose 53*a + 53*a - 18*a - 4200 = -112*a. Factor a*x - 1849/8*x**3 - 1/2 - 1677/8*x**2.
-(x + 1)*(43*x - 2)**2/8
Factor 17/4*c**2 - 29/2*c + 1/4*c**3 + 10.
(c - 2)*(c - 1)*(c + 20)/4
Let t = -465293 + 465293. Factor -4/7*w**2 + t + 4*w.
-4*w*(w - 7)/7
Suppose 0 = -221*s + 90*s + 1572. Let y(m) be the second derivative of 0*m**3 + s*m - m**4 + 1/5*m**5 + 0*m**2 + 0. Let y(z) = 0. Calculate z.
0, 3
Let i = -100 + 103. Suppose 4*k - 6*k + 6 = 0, i*k = u + 6. Factor -75*y - 7*y**u + 3*y**3 + y**3 + 30*y**2.
-3*y*(y - 5)**2
Let k(w) be the third derivative of -w**5/15 - 17*w**4/24 + 5*w**3/2 + 493*w**2. Factor k(f).
-(f + 5)*(