v - 7)
Let b = 603 - 519. Let h be (-420)/(-1323) + (-8)/b. Solve 0 + 2/9*o**4 - 2/9*o**2 - 2/9*o**3 + 0*o + h*o**5 = 0 for o.
-1, 0, 1
Let a(r) = -170*r**3 - r - 19 + 171*r**3 + 0*r**2 + 24*r**2. Let u be a(-24). What is l in 0*l + 0 - 3/8*l**2 + 9/8*l**3 - 9/8*l**4 + 3/8*l**u = 0?
0, 1
Let h(t) = -36*t + 182. Let y(j) = j**2 - j - 67. Let r be y(-8). Let v be h(r). What is x in 0 - 6/25*x - 2/25*x**v = 0?
-3, 0
Solve -46/9*q**3 - 2/9*q**5 + 0*q + 28/9*q**2 + 0 + 20/9*q**4 = 0.
0, 1, 2, 7
Let p(f) = f**3 - 21*f**2 - 2*f + 31. Let h be p(21). Let j be 3 + (-5 - (h + 7)). Determine y, given that 0*y**3 + 0 - 1/8*y**4 + 3/8*y**j - 1/4*y = 0.
-2, 0, 1
Let c(l) = l + 14*l**2 - 38*l**2 + 10*l**2 + 1 + l**3. Let i be c(14). Find y, given that -13*y - 5 - 2*y - i*y**2 - 5*y**3 + 7*y**2 - 7*y**2 = 0.
-1
Let s be -88*61/110044 - (-1 - 1941/287). Suppose -s*x**2 + 0 + 0*x - 51/7*x**3 + 3/7*x**4 = 0. What is x?
-1, 0, 18
Let k(t) = 4*t**4 - 388*t**3 - 20804*t**2 - 40402*t - 19996. Let j(o) = 3*o**4 + 8*o**3 - o**2 - o + 2. Let y(h) = 2*j(h) - k(h). Let y(b) = 0. Calculate b.
-100, -1
Let s(u) = -17 + 37*u**2 + 50*u**2 - 8*u - 84*u**2 - 9*u + 3*u. Let l be s(-1). Let -4/7*z - 12/7*z**2 - 4/7*z**4 - 12/7*z**3 + l = 0. What is z?
-1, 0
Factor 2/9*o**2 - 359/9*o + 179/9.
(o - 179)*(2*o - 1)/9
Let m(f) be the first derivative of -2/7*f - 2/7*f**2 + 29 - 2/21*f**3. Factor m(l).
-2*(l + 1)**2/7
Suppose -s + 339 = 2*c, -4*c + 5*c + 3*s = 157. Let b be (2/9)/(c/258). Factor 1/3*t + b*t**3 - 2/3*t**2 + 0.
t*(t - 1)**2/3
Let m = 85 + -121. Let f be (-3*(-1)/(-15))/(12/m). Factor -f*r**5 + 0 + 0*r**2 + 0*r + 0*r**3 - 3/5*r**4.
-3*r**4*(r + 1)/5
Let s(t) = 54*t**2 - 1134*t. Let j be s(21). Find c, given that 0 + j*c + 4/7*c**5 + 0*c**2 + 12/7*c**4 + 8/7*c**3 = 0.
-2, -1, 0
Let b(h) = 4*h**3 + 9*h. Let f(y) = -5*y**3 - 10*y. Let v be (-14)/119 + (-348)/(-68). Let p = -25 + 31. Let n(q) = p*b(q) + v*f(q). Factor n(i).
-i*(i - 2)*(i + 2)
Let r be 3 + -1*(42 - (2 + -2)). Let g = 66 + r. Let 27*w + g - 3*w - 4*w - 2*w**2 - 77 = 0. What is w?
5
Suppose -31*y = 95*y - 177 - 75. Let z(s) be the first derivative of 1/2*s**4 - 23 + 10/3*s**3 + 0*s + 0*s**y. Suppose z(b) = 0. Calculate b.
-5, 0
Suppose -9*r = 2181 + 123. Let v = r + 258. Solve -3/5*s**4 - 3/5*s**v - 9/5*s**3 + 6/5 + 9/5*s = 0.
-2, -1, 1
Suppose 0 = 3*p - 7*p - a, p + 15 = -4*a. Suppose -1 = -l + p. Factor -6*t**3 + t**5 + 36*t**2 - 14*t**4 + 2*t**4 + 27*t + l*t**5.
3*t*(t - 3)**2*(t + 1)**2
Suppose -4/3*k**2 + 4/3*k**4 - 1/3*k**5 + 0 - k**3 + 4/3*k = 0. Calculate k.
-1, 0, 1, 2
Suppose -401 - 1671 = -2*r + 3*j, 0 = -2*j. Let s = r + -2053/2. Let -s*a**2 + 5*a**3 - 2*a + 2 = 0. What is a?
-1/2, 2/5, 2
Suppose 3*i + 23 = i - 5*d, 3*d - 60 = 7*i. Let a be (i + (-225)/(-27))*54/(-4). Factor 12/5*c**2 - 12/5 + a*c.
3*(c + 4)*(4*c - 1)/5
Let k(j) be the first derivative of -124/9*j**3 - 8*j + 50 + 190/3*j**2. Factor k(q).
-4*(q - 3)*(31*q - 2)/3
Let s(f) = -20*f**4 + 30*f**3 + 248*f**2 + 58*f. Let o(h) = -362*h**4 + 541*h**3 + 4464*h**2 + 1043*h. Let n(v) = -2*o(v) + 37*s(v). Factor n(u).
-4*u*(u - 5)*(u + 3)*(4*u + 1)
Let m(k) be the first derivative of 65 - 1/8*k**4 - 7/2*k + 1/4*k**2 + 7/6*k**3. Factor m(w).
-(w - 7)*(w - 1)*(w + 1)/2
Let w(j) be the third derivative of 1/60*j**5 + 1/20*j**4 + 0*j - 1/450*j**6 + 0 - 16*j**2 - 8/3*j**3. Let x(d) be the first derivative of w(d). Factor x(a).
-2*(a - 3)*(2*a + 1)/5
Suppose 5*t - 4*s - 12 = 0, 2*s - s + 3 = -5*t. Suppose 22*u + 13*u = t. Factor 3/4*r**4 - 3/4*r**2 - 15/4*r + u + 15/4*r**3.
3*r*(r - 1)*(r + 1)*(r + 5)/4
Let x(k) be the first derivative of -k**4/4 + 45*k**3 - 67*k**2 - 4802. Factor x(z).
-z*(z - 134)*(z - 1)
Let k(l) be the second derivative of l**4/27 + 76*l**3/27 + 74*l**2/9 - 32*l. Solve k(z) = 0.
-37, -1
Let f(d) be the third derivative of -d**5/270 + 5*d**4/18 - 56*d**3/27 + 245*d**2 - 2*d. Determine k so that f(k) = 0.
2, 28
Let p(z) = -450*z + 3152. Let x be p(7). What is h in 3/4*h**x - 9/4*h + 0 = 0?
0, 3
Let x(z) be the first derivative of -1/15*z**3 - 1/10*z**2 + 6/5*z - 28. Factor x(d).
-(d - 2)*(d + 3)/5
Let a(y) be the third derivative of 2*y**7/105 + 13*y**6/30 + 6*y**5/5 - 80*y**4/3 + 256*y**3/3 - 409*y**2. Solve a(i) = 0.
-8, 1, 2
Suppose 117 - 208 = -7*c. Let n(r) = -r**2 + 11*r + 28. Let p be n(c). Determine j, given that 4 + 66/5*j - 14/5*j**p = 0.
-2/7, 5
Let j(q) be the first derivative of -q**6/9 - 2*q**5/3 - q**4 + 4*q**3/9 + 7*q**2/3 + 2*q - 307. Solve j(u) = 0 for u.
-3, -1, 1
Let b = -128930/3 - -42998. Let -20/3*q**3 + b*q + 2/3*q**4 - 40/3 - 2*q**2 = 0. Calculate q.
-2, 1, 10
Let h(b) be the third derivative of b**10/672 + 17*b**9/5040 + b**8/1120 - 3*b**4/8 + 7*b**2. Let r(o) be the second derivative of h(o). Solve r(c) = 0 for c.
-1, -2/15, 0
Let u(g) = g**3 + 23*g**2 + 20*g - 38. Let y be u(-22). Let a be y/(-18) + 7/3. Factor 62*q**2 + 4*q**3 - a*q**3 - 70*q**2 + 8*q.
2*q*(q - 2)**2
Determine l, given that 8*l**2 + 28*l**2 + 1156*l**3 - 298*l**5 - 12*l**2 + 309*l**4 - 82*l**5 + 443*l**4 = 0.
-1, -2/95, 0, 3
Let d be 10/(-12)*(-2646)/(-630)*70/(-98). Factor d*q**2 + 1/4*q**5 + 5/2*q**3 + 1/4 + 5/4*q**4 + 5/4*q.
(q + 1)**5/4
Suppose 4*o + 504 = 11*o. Suppose -15 = -2*s + 3*n, 5*s + 3*n - o = -n. Find t such that -12*t**3 - 3 + 0*t**2 - 19*t**2 + 2*t**2 - s*t - 3*t**4 - t**2 = 0.
-1
Let v be (44/55 + 26/(-20))/(-18 - 2). Let l(k) be the third derivative of 0*k - v*k**5 - 5/4*k**4 + 0 - 18*k**2 - 25*k**3. Find n such that l(n) = 0.
-10
Let m(h) be the first derivative of -h**4 - 40*h**3/3 + 26*h**2 + 88*h - 2422. Factor m(o).
-4*(o - 2)*(o + 1)*(o + 11)
Let d = -3998 - -4001. Let i(j) be the second derivative of -81/4*j**2 + 0 - 9/8*j**4 - 3/40*j**5 - 29*j - 27/4*j**d. Solve i(w) = 0.
-3
Let p(s) = -2*s - 9*s**4 - 5*s**5 + 1 - 1 - 2 + s**5 - 5*s**3. Let d(o) = -o**5 + o**4 - o - 1. Let a(i) = -6*d(i) + 3*p(i). Find t such that a(t) = 0.
-5, -1/2, 0
Let n = -387 + 476. Factor 92*s**2 - 185*s**2 + n*s**2 - 16*s.
-4*s*(s + 4)
Let u = -3549 + 3555. Let k(m) be the third derivative of 0*m - 27*m**2 + 0*m**3 + 0 - 1/300*m**u - 2/75*m**5 - 1/20*m**4. Let k(i) = 0. Calculate i.
-3, -1, 0
Let f(x) = 4*x + 15. Let r be f(-3). Factor 108 + 144*n**2 - 216*n + 4*n**4 - 23*n**r - 14*n**3 - 3*n**3.
4*(n - 3)**3*(n - 1)
Let b(i) be the first derivative of -i**4/2 + 50*i**3/3 + 53*i**2 + 54*i + 5727. Factor b(z).
-2*(z - 27)*(z + 1)**2
Let u(j) be the third derivative of -1/72*j**5 + 1 + 0*j - 7/36*j**3 - 13*j**2 - 13/144*j**4 + 1/720*j**6. Factor u(p).
(p - 7)*(p + 1)**2/6
Let z(s) be the second derivative of 4*s - 1/2*s**4 + 2/15*s**5 - 3/2*s**3 - 1/90*s**6 + 0 + 0*s**2. Let c(l) be the second derivative of z(l). Solve c(v) = 0.
1, 3
Let z(k) be the second derivative of 0*k**2 - 1/30*k**4 + k + 31 + 19/15*k**3. Factor z(y).
-2*y*(y - 19)/5
Let h be -1 + (-10)/5 - (2 - -1). Let n be h/(-48) - 1311/(-264). Factor 60/11*d**2 + 18/11*d**3 + n*d + 16/11.
2*(d + 2)*(3*d + 2)**2/11
Let f be (-150)/(-25) + 6660/(-26). Let j = -250 - f. Let 8/13*r**2 + j*r**3 - 2/13*r - 8/13 = 0. Calculate r.
-4, -1, 1
Suppose 309 = -3*r + 2*c + 334, -c + 1 = 3*r. Factor 0 - 12*v + 3/2*v**4 - 21/2*v**r + 21*v**2.
3*v*(v - 4)*(v - 2)*(v - 1)/2
Let m(h) be the first derivative of -3*h**4/8 - 589*h**3/3 + 2763*h**2/4 - 395*h + 1052. Determine y, given that m(y) = 0.
-395, 1/3, 2
Let o be (345/20 - (-89 + 106))/(-2*(-1)/2). Find g, given that g + 0 + g**4 - 3/4*g**3 - g**2 - o*g**5 = 0.
-1, 0, 1, 2
Let t be (-70)/((-9450)/159111) + -55. Let t - 11024/5*l + 5196/5*l**2 + 2/5*l**4 + 208/5*l**3 = 0. Calculate l.
-53, 1
Let z be 32/6*(5240/(-100) + 53). Suppose z - 2/5*h**2 - 14/5*h = 0. What is h?
-8, 1
Let v(c) = 92*c**3 + 68*c**2 - 76*c. Let d(o) = -1535*o**3 - 1155*o**2 + 1290*o. Let r(n) = -3*d(n) - 50*v(n). Factor r(z).
5*z*(z - 1)*(z + 14)
Factor 740*g - 1056*g - 3*g**2 - 1413 - 1100*g.
-3*(g + 1)*(g + 471)
Factor 2132*t**2 + 936 + 5*t**3 + 13*t**3 + 456*t + 2594*t.
2*(t + 1)*(t + 117)*(9*t + 4)
Find m such that -16*m + 0 + 12*m**3 + 2/3*m**5 + 8/3*m**2 - 6*m**4 = 0.
-1, 0, 2, 6
Let h(q) be the second derivative of -69*q**4/2 + 209*q**3/3 - 2*q**2 + 2005*q. Factor h(b).
-2*(b - 1)*(207*b - 2)
Let f(x) be the first derivative of -x**6/30 + 37*x**5/5 + x**4/20 - 