**2 - 583 - 223*c**3 + 35*c**4 - 178*c**3 + 193*c**3 - 677 = 0.
-3/7, 3, 4, 7
Let d(g) = 57*g**2 + 256*g - 8. Let k(u) = -7*u**2 - 6*u + 1. Let r(z) = -3*d(z) - 24*k(z). Factor r(c).
-3*c*(c + 208)
Suppose 202*v + 276 - 383*v - 229*v + 155*v**2 - 23*v**2 + 2*v**3 = 0. Calculate v.
-69, 1, 2
Let g(s) be the first derivative of -3*s**4 + 4*s**3 - 4. Let r(x) = 4*x**2 - x**3 - 14*x - 3*x**2 + 14*x. Let p(k) = -g(k) + 15*r(k). Solve p(y) = 0.
0, 1
Let b(g) = 13*g**3 - 5*g**2 + 9*g + 1. Let v be b(3). Let m = 339 - v. Determine o so that -36/7*o**2 + 2*o**4 + 20/7*o**3 - 54/7*o + 2/7*o**m + 54/7 = 0.
-3, 1
Let z(q) = 3*q + 8 - 5*q + 2*q**3 - 22*q**2 - q**3 - 27*q**2 + 46*q**2. Let m be z(3). Factor -26/9*u**3 + 10/9*u**4 + 2/9*u + 2*u**m - 4/9.
2*(u - 1)**3*(5*u + 2)/9
Let z(f) = 89*f + 184. Let l be z(-2). Let c(k) be the first derivative of 1/12*k**l - 7/6*k**3 + 0*k - 1/2*k**5 + 1/2*k**2 - 21 + 9/8*k**4. Factor c(q).
q*(q - 2)*(q - 1)**3/2
Suppose -11*v - 4*n - 3548 = -15*v, -4*n = 5*v - 4471. Let p = 893 - v. Let -2/15*w**p + 8/15 - 2/5*w = 0. Calculate w.
-4, 1
Let y(f) be the third derivative of -f**6/1260 - 19*f**5/630 + f**4/6 - 958*f**2. Find a such that y(a) = 0.
-21, 0, 2
Suppose 246*l = 251*l + 3*d - 13, -2*d + 6 = 2*l. Let c = -165/4 - -42. Factor c*u**4 + 0 + 0*u - 3/4*u**3 + 0*u**l.
3*u**3*(u - 1)/4
Factor 18/7*r**3 + 48/7 + 164/7*r - 230/7*r**2.
2*(r - 12)*(r - 1)*(9*r + 2)/7
Let z = -957 + 13401/14. Let m(h) be the first derivative of 1/7*h**3 - z*h**2 + 3/28*h**4 - 3/7*h + 7. Let m(k) = 0. What is k?
-1, 1
Let o be ((-61)/(-3))/(2/72). Let z = 5132/7 - o. Factor -z + 4/7*j**2 - 4/7*j.
4*(j - 2)*(j + 1)/7
Let i(s) be the second derivative of s**4/4 + 8*s**3 - 1395*s**2/2 - 8824*s. Suppose i(l) = 0. Calculate l.
-31, 15
Let k(g) be the third derivative of -g**8/1008 - g**7/210 + g**6/24 + 11*g**5/36 + g**4/12 - 4*g**3 + 5434*g**2. Determine a so that k(a) = 0.
-3, -2, 1, 4
Let k be (5 - 4)*-3 - -3 - -22. Suppose -15*r - 34*r + 5*r**2 + 41*r - k*r = 0. What is r?
0, 6
Let p(y) be the second derivative of 5*y - 23/45*y**3 + 1/50*y**5 - 7/45*y**4 + 3 - 2/5*y**2. Factor p(u).
2*(u - 6)*(u + 1)*(3*u + 1)/15
Let h(o) = 2*o**2 + 140*o + 2250. Let f be h(-45). Let i(a) be the first derivative of -2 + f*a + 8/27*a**3 - 1/3*a**2 - 1/18*a**4. What is y in i(y) = 0?
0, 1, 3
Let g(u) = 18*u**2 - 1. Let p be g(1). Suppose 0 = -3*i + r + 15 - 7, 4*i = -5*r + p. Factor 1/3*x**4 - x + x**i + 4/3 - 5/3*x**2.
(x - 1)**2*(x + 1)*(x + 4)/3
Let c be (40 - 12 - 52)/(1 + (-10006)/10000). Determine d, given that c + 20*d**3 + 600*d**2 + 1/4*d**4 + 8000*d = 0.
-20
Let v be 3*((-12)/9 + 2/6). Let q be (6 - (-285)/(-50))/(v/(-16)). Suppose 4/5 + 4/5*r**2 + q*r = 0. Calculate r.
-1
Let z(y) be the second derivative of y**4/12 + 59*y**3/3 + 117*y**2/2 - 1558*y. Determine h, given that z(h) = 0.
-117, -1
Factor 36*f**3 - 3750*f + 0 - 3/8*f**4 - 1575/2*f**2.
-3*f*(f - 50)**2*(f + 4)/8
Let y(k) be the third derivative of k**6/8 - 5*k**5/3 + 5*k**4/2 + 7*k**2 + 11. Find p, given that y(p) = 0.
0, 2/3, 6
Let x(t) be the third derivative of t**6/60 - 29*t**5/6 - 293*t**4/12 - 49*t**3 - 911*t**2 - t. Find v such that x(v) = 0.
-1, 147
Let n(k) = -54*k**3 + 2*k**2 - 4. Let i(h) = -67*h**3 + 3*h**2 - 5. Let d(l) = -4*i(l) + 5*n(l). Factor d(p).
-2*p**2*(p + 1)
Factor 4 - 11/3*s - 1/3*s**2.
-(s - 1)*(s + 12)/3
Let d(v) be the second derivative of -5/3*v**3 + 262*v - 1/48*v**4 + 0 + 0*v**2. Factor d(s).
-s*(s + 40)/4
Let s = 3703/3 + -1229. Suppose 4*y + 34 = 21*y. Find v, given that 8/9*v**3 - 80/9*v + 28/9*v**y - 4/9*v**4 + s = 0.
-3, 1, 2
Let m(u) = -3*u**3 - 2*u**2 + u. Let p(b) be the first derivative of -1/2*b**2 + 1/3*b**3 + 1/4*b**4 + 2 + 0*b. Let n(d) = -m(d) - 4*p(d). Factor n(a).
-a*(a - 1)*(a + 3)
Let z(q) be the first derivative of 64/3*q**3 - 98 + 98*q**2 + 12*q. What is j in z(j) = 0?
-3, -1/16
Let u(j) be the first derivative of 2*j**3 - 5/4*j**4 + 1/2*j + 3/10*j**5 + 59 - 3/2*j**2. Factor u(h).
(h - 1)**3*(3*h - 1)/2
Let z(d) = -d**3 + d**2 + d. Let f = -122 + 136. Suppose -f = -7*k - 7*k. Let v(c) = 215*c**3 + 541*c**2 + 451*c + 125. Let g(x) = k*z(x) - v(x). Factor g(t).
-(6*t + 5)**3
Let o(i) = -21*i + 431*i**2 - 437*i**2 - 45 + 0*i. Let a(z) = -11*z**2 - 43*z - 90. Let u(c) = -3*a(c) + 5*o(c). Factor u(p).
3*(p + 3)*(p + 5)
Let p(u) be the first derivative of 0*u - 21 - u**3 + 9/2*u**2. Let p(c) = 0. What is c?
0, 3
Let w be 210/(-133)*18316/(-4338). Solve -1/3*y**2 - w + 7*y = 0.
1, 20
Let p(l) be the second derivative of -1/2*l**3 - 51*l - 3/2*l**2 + 0 + 1/4*l**4 + 3/20*l**5. Factor p(y).
3*(y - 1)*(y + 1)**2
Let d be ((-128)/(-192))/(14/2166). Let k = -2138/21 + d. Suppose -4/3*f - 2/3*f**2 + 0 + k*f**3 + 2/3*f**4 = 0. What is f?
-2, -1, 0, 1
Factor -2/23*z**2 - 3230882/23 + 5084/23*z.
-2*(z - 1271)**2/23
Let n(f) = -2*f**4 - 48*f**3 - 70*f**2 - 48*f + 16. Let d(c) = 3*c**3 - 2. Let a(v) = 8*d(v) + n(v). Solve a(m) = 0 for m.
-8, -3, -1, 0
Let b = -70108 + 70112. Solve -2/5*h**2 + 6/5*h + b = 0.
-2, 5
Let v(i) be the first derivative of -3*i**5/5 - 15*i**4/4 + 14*i**3 + 54*i**2 - 216*i + 1306. Let v(o) = 0. Calculate o.
-6, -3, 2
Let t(g) be the first derivative of 1/6*g**3 + 1/4*g + 63 + 1/24*g**6 + 1/8*g**4 - 3/8*g**2 - 3/20*g**5. Factor t(o).
(o - 1)**4*(o + 1)/4
Let i(g) be the third derivative of g**8/3360 - g**7/560 - g**6/720 + g**5/80 + 181*g**3/6 + 100*g**2. Let m(h) be the first derivative of i(h). Factor m(x).
x*(x - 3)*(x - 1)*(x + 1)/2
Let i(v) = -v**3 + 2*v**2 - 1. Let r be i(-1). Let 97*h**r - 193*h**2 + 4*h + 92*h**2 = 0. Calculate h.
0, 1
Suppose -5*c + 58 - 18 = 0. Let u be -3 + 1 + 3 + 1. Factor u*k**2 + 6*k**3 - 9*k + 6*k**2 - c*k**4 + 3*k.
-2*k*(k - 1)*(k + 1)*(4*k - 3)
Let a(t) be the third derivative of t**7/210 + 49*t**6/60 - 841*t**5/60 + 371*t**4/12 - 6136*t**2. Determine y so that a(y) = 0.
-106, 0, 1, 7
Suppose -5*x + 8 = -3*c + 317, 15*c + 2*x - 1140 = 0. Factor 15/4*k**3 - 99/4*k**2 - c*k - 27.
3*(k - 9)*(k + 2)*(5*k + 2)/4
Let r be 6 + (7 + -17 - -3). Let g be r/(-9) + (-4446)/(-810). Let 4*b + g*b**2 - 8/5 = 0. Calculate b.
-1, 2/7
Factor 42*b + 53 - 315*b**2 + 43 + 336*b**2 - 3*b**3 - 456.
-3*(b - 6)*(b - 5)*(b + 4)
Let k(s) be the second derivative of -5*s**6/6 - 4*s**5 - 15*s**4/2 - 20*s**3/3 - 5*s**2/2 + 3469*s. Factor k(n).
-5*(n + 1)**3*(5*n + 1)
Suppose -3*u**5 + 4*u**2 - 252*u - 6*u**2 + 255*u**3 - 51*u**4 + 53*u**2 = 0. What is u?
-21, -1, 0, 1, 4
Let y(g) be the first derivative of 39/4*g**2 + 1/2*g**3 + 0*g - 78. Factor y(k).
3*k*(k + 13)/2
Determine t, given that -11/4*t**2 + 1/4*t**3 - 56*t - 99 = 0.
-9, -2, 22
Let b(g) be the second derivative of -49*g**5/5 + 1001*g**4/3 - 3050*g**3 - 11250*g**2 + 2*g + 1360. Find s, given that b(s) = 0.
-1, 75/7
Let r(w) be the second derivative of -w**7/504 + 5*w**6/48 + 2*w**5/3 - 2*w**4 + 4*w - 4. Let l(h) be the third derivative of r(h). Factor l(i).
-5*(i - 16)*(i + 1)
Let k(t) = 16*t**2 - 38*t - 2. Let c(b) = -9*b**2 + 5*b - 9. Let i(q) = 5*q**2 - 3*q + 5. Let r(a) = -3*c(a) - 5*i(a). Let y(s) = k(s) - 3*r(s). Factor y(d).
2*(d - 4)*(5*d + 1)
Let -1239*q**4 - 190*q**2 + 1234*q**4 - 280*q + 58*q**3 + 27*q**3 = 0. Calculate q.
-1, 0, 4, 14
Suppose -26*g - 465 + 691 = 87*g. Factor -4/3*k**2 - g*k + 4/3*k**3 + 2*k**4 + 2/3*k**5 - 2/3.
2*(k - 1)*(k + 1)**4/3
Find y such that -12*y**2 + 15/4*y + 9/4*y**3 + 0 = 0.
0, 1/3, 5
Let w be -132 + 131 - (2/(-4))/((3/1)/30). Factor -1/6*l**w + 0 + 0*l**3 + 1/3*l + 1/2*l**2.
-l*(l - 2)*(l + 1)**2/6
Suppose -4*b - 17 - 1 = 2*v, 0 = 5*b - 2*v. Let h(m) = m + 5. Let z be h(b). Factor 6*l - 3*l**4 + 14*l**3 + 5*l**2 - 2*l**2 - 20*l**z.
-3*l*(l - 1)*(l + 1)*(l + 2)
Let i be 1392/(-2900)*5*(1 - 5/4). Solve -6/5*u**3 - 9/5*u**2 - 12/5 + i*u**4 + 24/5*u = 0 for u.
-2, 1, 2
Factor 19/4*i - 1/4*i**2 + 165/2.
-(i - 30)*(i + 11)/4
Let x = 14054/49 + -655855/2303. Let w = x + -15/47. Factor -4/7*n**2 - w + 2*n.
-2*(n - 2)*(2*n - 3)/7
Let p = -15 + 17. Let t(b) = b**2 - 340*b + 3. Let o be t(0). Factor -2/3*x**o + 0 - 2/3*x - 4/3*x**p.
-2*x*(x + 1)**2/3
Let z = 39 + -36. Suppose -14*b + 15*b - z = 0. Factor -568*g**2 + 571*g**2 + 2*g + 3*g**3 - 3*g**3 + g**b.
g*(g + 1)*(g + 2)
Let t be 97845/(-67298)*6 - -11. Let j = 4/437 + t. Factor 8/7*