 + 16. Let c be m(-24). Suppose c = 6*z - 20. Let 138*f**2 - 138*f**2 + z*f**3 - 21*f**4 = 0. What is f?
0, 2/7
Let j = -168949/5 + 33790. Determine a, given that 4/5*a - j*a**2 - 3/5 = 0.
1, 3
Let c(w) be the first derivative of 2/55*w**5 + 72/11*w + 122/33*w**3 + 48 + 7/11*w**4 + 84/11*w**2. Suppose c(p) = 0. What is p?
-6, -1
Let 1/4*i**2 + 21/2*i - 72 = 0. Calculate i.
-48, 6
Let w(q) = 108*q**3 + 4*q**2 + 25*q - 4. Let d(m) = 44*m**3 + 2*m**2 + 13*m - 2. Let n(t) = -7*d(t) + 3*w(t). Factor n(b).
2*(b - 1)*(b + 1)*(8*b - 1)
Let l(h) = 373*h + h**2 - 2 - 373*h. Let b be l(-6). Suppose -8*r - 8*r**4 - 1 - 2 - 48*r**2 - 1 - 18*r - b*r**3 = 0. Calculate r.
-2, -1, -1/4
Factor 0 + 4/9*w**2 - 16/3*w + 2/9*w**3.
2*w*(w - 4)*(w + 6)/9
Factor y**2 - 555*y**3 - 92*y**4 - 1167*y**4 + 2*y**2 + 137*y**4.
-3*y**2*(2*y + 1)*(187*y - 1)
Factor 0 + 0*y**2 + 0*y - 1800/23*y**3 - 2/23*y**5 - 120/23*y**4.
-2*y**3*(y + 30)**2/23
Let k(a) be the second derivative of 123*a - 1/12*a**4 + 1/9*a**3 + 1/60*a**5 + 0*a**2 + 0. Determine g, given that k(g) = 0.
0, 1, 2
Factor -4335/8 - 117/8*r**2 - 1377/8*r - 3/8*r**3.
-3*(r + 5)*(r + 17)**2/8
Find c such that -39*c**4 + 28*c - c**3 - 14*c**3 + 93*c**2 - 157*c + 54 + 36*c**4 = 0.
-9, 1, 2
Let v(u) be the third derivative of -u**6/180 + 17*u**5/90 - 37*u**4/18 + 88*u**3/9 + u**2 + 855. Factor v(g).
-2*(g - 11)*(g - 4)*(g - 2)/3
Let q = -1401897 + 1401899. Determine d, given that 2/9 + 2/9*d - 2/9*d**q - 2/9*d**3 = 0.
-1, 1
Let m be ((-8 - (-98)/12)*-220)/(2/(-6)). Let m*h + 45/2*h**3 - 75*h**2 - 60 - 5/2*h**4 = 0. What is h?
2, 3
Suppose 46*n**3 - 34*n**4 - 686*n**5 + 685*n**5 - 11*n**4 = 0. What is n?
-46, 0, 1
Let a(u) be the first derivative of 7*u**5/30 + 13*u**4/6 + 8*u**3 + u**2/2 - 15*u - 14. Let y(v) be the second derivative of a(v). Solve y(i) = 0.
-2, -12/7
Let x = -25246/7 - -3607. Let h = 155/28 + -17/4. Factor 12/7*z**2 - x - h*z.
3*(z - 1)*(4*z + 1)/7
Let s(t) be the third derivative of -11/30*t**6 - 100/3*t**3 - 47/10*t**5 - 55/3*t**4 - 1/105*t**7 + 0*t + 0 + 134*t**2. Determine c so that s(c) = 0.
-10, -1
Let c be 4/(-14)*23/(920/24256). Let s = c - -867/5. Find q, given that 0 + 0*q**2 + s*q - 1/7*q**3 = 0.
-1, 0, 1
Let w be (162/(-324))/(((-1)/(-12))/1). Let c(x) = -x**2 + 40*x + 278. Let u be c(w). Factor -2/3*f**u + 0 + 4/3*f.
-2*f*(f - 2)/3
Find j, given that -78*j**4 - 1216/5*j - 18/5*j**5 - 2802/5*j**2 - 168/5 - 2126/5*j**3 = 0.
-14, -6, -1, -1/3
Let x be 45/(-12)*((-110)/2805)/(2/8). Find h, given that -x*h**3 - 16/17 - 60/17*h - 54/17*h**2 = 0.
-4, -1, -2/5
Let z(q) be the first derivative of 2*q**3 + 0*q - 179 - 2*q**2 - 1/2*q**4. Factor z(d).
-2*d*(d - 2)*(d - 1)
Let m(y) = 7*y**2 + 26*y + 10. Let n be m(-6). Solve 62*q**3 + 11*q**4 + n*q + 2 - 25 - 168*q**2 + 9*q**4 + 3 = 0.
-5, 2/5, 1/2, 1
Let d = -64 - -69. Suppose -80 + 105 = d*o. Solve m**o - 3*m**3 - m**2 + 2*m**4 + 3*m**2 - 5*m**2 + 4*m - m**2 = 0.
-2, 0, 1
Let c(f) = -f. Let m(b) = -3*b + 1. Suppose 3 = -x + 5. Let l(v) = x*c(v) - m(v). Let t(i) = i**3 + i**2 - 3*i + 1. Let o(u) = -l(u) - t(u). Solve o(j) = 0.
-2, 0, 1
Let c(g) be the third derivative of 0 + 1/20*g**5 + 127*g**2 + 0*g + 1682*g**3 + 29/2*g**4. Determine v, given that c(v) = 0.
-58
Let l(o) be the third derivative of o**6/360 - o**5/20 + o**4/3 + 23*o**3/3 - 101*o**2. Let n(x) be the first derivative of l(x). What is g in n(g) = 0?
2, 4
Let m = 120 + -112. Find q, given that 333*q**3 - 14*q + 325*q**3 - 659*q**3 + 7*q**2 + m = 0.
1, 2, 4
Let g(t) = t**3 + 322*t**2 + 4611*t + 1844. Let y be g(-307). Solve -125/4 - 405/4*s**y + 225/2*s = 0.
5/9
Let t(r) be the first derivative of r**4/16 + 111*r**3/4 + 36963*r**2/8 + 1367631*r/4 - 303. Factor t(g).
(g + 111)**3/4
Let a(d) = 12*d + 82. Let p be a(-6). Suppose -5*z = -3*z - 2*n - p, -z - 5*n - 13 = 0. Suppose -20/3*h - 8*h**z + 4/3 = 0. What is h?
-1, 1/6
Let s(x) = 188*x - 2056. Let t be s(11). Let m(j) be the first derivative of -t - 2/5*j**5 - 2*j + j**2 + 1/3*j**6 + 4/3*j**3 - j**4. Factor m(o).
2*(o - 1)**3*(o + 1)**2
Let l(g) = -23*g**3 - 112*g**2 + 139*g + 256. Let w(y) = -15*y**3 - 75*y**2 + 93*y + 171. Let d(m) = -9*l(m) + 14*w(m). Determine q so that d(q) = 0.
-15, -1, 2
Let h(k) = 10 - 26 - k**3 + 4*k**2 - 5*k + 8 + 2*k**3. Let o = 2 - -1. Let l(f) = -f - 1. Let b(a) = o*h(a) - 24*l(a). Let b(m) = 0. What is m?
-3, -1, 0
Let t(l) be the first derivative of 17/6*l**4 - 1/3*l**5 - 4*l**3 + 18*l**2 - 5 + 0*l. Let b(o) be the second derivative of t(o). Factor b(w).
-4*(w - 3)*(5*w - 2)
Let -774/5*o**2 + 4/5*o + 1536/5*o**3 + 0 - 766/5*o**4 = 0. What is o?
0, 2/383, 1
Suppose 0 = -21*a + 22*a - 7. Determine x so that -1236*x**5 - 17*x**2 + 27*x + 27 + 1235*x**5 + a*x**4 - x**2 - 10*x**3 = 0.
-1, 3
Factor -4/5*s**2 - 292/5*s - 168.
-4*(s + 3)*(s + 70)/5
Let x(k) = -2*k**2 + 23*k - 53. Suppose -38 - 16 = 9*z. Let u(v) = -2*v**2 + 22*v - 54. Let m(q) = z*x(q) + 5*u(q). Factor m(a).
2*(a - 12)*(a - 2)
Suppose 0 = -3*s + s + 4. Factor 2*i**4 - 80 - 59*i - 26*i**3 + 32*i + 35*i + 60*i**s.
2*(i - 10)*(i - 2)**2*(i + 1)
Let n be 22*1 - (1030515/(-412))/(-145). Find d, given that n*d - 1/8*d**2 + 0 = 0.
0, 38
Let a(o) = o**3 - o**2 + 167*o + 257. Let d(p) = p**3 - p**2 + 87*p + 129. Let q(t) = 6*a(t) - 10*d(t). What is f in q(f) = 0?
-3, 7
Let o(l) be the second derivative of 23/6*l**3 + 3/2*l**2 + 7*l - 3/16*l**5 + 13/48*l**4 + 3. What is w in o(w) = 0?
-2, -2/15, 3
Let o(g) be the first derivative of 2*g**3/15 - 12*g**2/5 + 64*g/5 + 4273. Determine x so that o(x) = 0.
4, 8
Let r(i) be the first derivative of 5/3*i**3 - 5 - i**5 - 5/2*i**4 + 0*i + 5*i**2. Factor r(h).
-5*h*(h - 1)*(h + 1)*(h + 2)
Let r be (0 - 42/(-5))/(3933/345). Factor -r*p + 2/19*p**3 + 12/19 + 0*p**2.
2*(p - 2)*(p - 1)*(p + 3)/19
Suppose 5*q = -x - 94, x - 7 = -11. Let h be (-236)/1062 + 32/q + 2. What is s in 9/8*s**2 + 0*s + h + 3/8*s**3 = 0?
-3, 0
Factor 53/6*m**3 - 31/6*m**2 + 0 - 11/3*m.
m*(m - 1)*(53*m + 22)/6
Let p be ((-169)/(-2028))/((-3)/(-930)) + -20. Factor p*h - 5/6*h**2 - 10.
-5*(h - 4)*(h - 3)/6
Let c(x) be the second derivative of 68*x - 4/5*x**2 - 1/30*x**4 + 1/3*x**3 + 0. Factor c(l).
-2*(l - 4)*(l - 1)/5
Determine b so that 3/2*b**3 + 33/2*b**2 - 249*b + 420 = 0.
-20, 2, 7
Suppose -2*y - 3*k + 13 = 0, 3*y - 15 = -0*y - 3*k. Suppose 6*t - 4 = y. Solve 3 - t - i**4 - 1 - 3 + 5*i**3 - 9*i**2 + 7*i = 0 for i.
1, 2
Let r(w) = w**2 + 2294*w - 216670. Let p(j) = -j**2 - 1530*j + 144450. Let m(b) = 7*p(b) + 5*r(b). Factor m(u).
-2*(u - 190)**2
Let a(g) = -12*g**2 + 5*g - 4. Let s(y) = -11*y**2 + 4*y - 3. Let k(d) = 6*a(d) - 7*s(d). Let i(z) = 6*z**2 + z - 2. Let r(u) = -4*i(u) + 5*k(u). Factor r(h).
(h - 1)*(h + 7)
Suppose 0 = 70*a - 93*a + 69. Factor -13*t + 3*t**4 + 8*t + 2*t + 3*t - 30*t**2 + 9*t**a.
3*t**2*(t - 2)*(t + 5)
Let r(p) be the first derivative of 3*p**4/4 + 8*p**3 - 45*p**2/2 - 162*p + 1797. Factor r(l).
3*(l - 3)*(l + 2)*(l + 9)
Let y(l) be the third derivative of -l**5/160 - 565*l**4/64 + 283*l**3/8 - 2*l**2 - 1046*l - 2. What is p in y(p) = 0?
-566, 1
Let j(c) be the second derivative of -c**4/54 - 46*c**3/9 - 536*c**2/9 + 9253*c. Factor j(n).
-2*(n + 4)*(n + 134)/9
Let i = 1/661291 + 27112924/4629037. Find d, given that 40/7*d**3 + 0*d - i*d**2 + 0 + 1/7*d**4 = 0.
-41, 0, 1
Let b(i) be the third derivative of i**6/24 + 89*i**5/12 + 215*i**4/3 + 850*i**3/3 - 2331*i**2. Factor b(w).
5*(w + 2)**2*(w + 85)
Determine m, given that 324/5*m**3 + 128/5*m**2 + 16*m**5 + 0 + 16/5*m + 292/5*m**4 = 0.
-2, -1, -2/5, -1/4, 0
Let d be (-200)/(-92) - (-34 + (-49518)/(-1449)). Factor 2/5*c**d + 16/5 - 12/5*c.
2*(c - 4)*(c - 2)/5
Let w = 3296/55 - 296/5. Let -6/11*a**4 - 34/11*a**2 - w*a - 32/11*a**3 + 0 = 0. What is a?
-4, -1, -1/3, 0
Let w(o) be the third derivative of 41*o**6/160 - 33*o**5/8 + 303*o**4/32 - 7*o**3/4 - 2937*o**2 - 2*o. Let w(s) = 0. Calculate s.
2/41, 1, 7
Let t be (36/(-16))/(30/(-400)). Suppose 32*j + t = 30. Factor j*b**3 - 1/2*b**4 + b**2 - 1/2 + 0*b.
-(b - 1)**2*(b + 1)**2/2
Let g(s) be the third derivative of 121*s**8/168 - 1859*s**7/105 + 877*s**6/10 - 2318*s**5/15 + 302*s**4/3 - 32*s**3 - 460*s**2. Suppose g(c) = 0. What is c?
2/11, 1, 2, 12
Let g(i) = -i**2 + 9*i + 6. Let k(u) = u**3 - 19*u**2 - 41*u - 18. Let x