1395*f - 1385. Let m(g) = 28*g**2 + 18136*g - 18004. Let k(w) = -40*a(w) + 3*m(w). Solve k(d) = 0 for d.
1, 347
Let r(i) = i**3 + 123*i**2 - 6724*i + 4. Let l be r(41). Factor 2/3*f + 0*f**3 + 3/2*f**2 - 2 - 1/6*f**l.
-(f - 3)*(f - 1)*(f + 2)**2/6
Suppose -10 = -3*v - 2*v + 5*i, -2 = 2*v + i. Let x(k) be the second derivative of 0 - 4*k - 1/3*k**3 - 1/10*k**5 - 1/3*k**4 + v*k**2. Factor x(y).
-2*y*(y + 1)**2
Let w = 456 - 450. Let r be w/5*(1166/88 - 12). Factor r*n**2 - 3*n - 12.
3*(n - 4)*(n + 2)/2
Let t(l) be the second derivative of -l**4/30 + 208*l**3/15 + 84*l**2 + 19*l - 2. Suppose t(c) = 0. What is c?
-2, 210
Let l = -249 - -524. Find c, given that -l*c**2 - 480*c + 1225*c**3 + 490*c**4 + 65 + 1190*c**3 + 35 = 0.
-5, -1/2, 2/7
Let f(m) = -726*m + 73330. Let k be f(101). Let 0*d**2 + 0*d + 0 - 2/7*d**k - 12/7*d**3 = 0. Calculate d.
-6, 0
Factor 3/4*b**3 - 3/4*b - 15/2*b**2 + 15/2.
3*(b - 10)*(b - 1)*(b + 1)/4
Suppose 5/2*l**4 + 0 + 53/2*l**3 + 15*l**2 + 0*l = 0. Calculate l.
-10, -3/5, 0
Determine n, given that 6/7*n**4 - 102/7*n**2 + 124/7*n - 2/7*n**5 - 48/7 + 22/7*n**3 = 0.
-4, 1, 2, 3
Let y(c) be the first derivative of 32*c**3 + 51*c**2 + 3*c - 18. Let b(l) = -l**3 - 192*l**2 - 205*l - 7. Let w(h) = 3*b(h) + 7*y(h). Solve w(o) = 0.
-1, 0, 33
Let d(t) = 2*t - 29. Let f be d(14). Let g = 7 + f. Factor -j**4 + 7*j**4 - g*j**3 + 2*j**3 - 3*j**5 + j**3.
-3*j**3*(j - 1)**2
Let u(o) be the first derivative of -117 - o**5 - 225/2*o**4 + 0*o - 67500*o**2 - 4500*o**3. Factor u(a).
-5*a*(a + 30)**3
Suppose w + 6 = 25*h - 22*h, 10*h = -w + 46. Factor 288/7*q**2 + 66/7*q**h + 240/7*q**3 + 0*q + 6/7*q**5 + 0.
6*q**2*(q + 3)*(q + 4)**2/7
Determine y, given that -119*y + 221074*y**2 + 11*y - 221071*y**2 + 384 = 0.
4, 32
Let c be (12/2 + 1)*2388/2786. Let u(m) be the second derivative of 0*m**3 + 0*m**2 + 1/45*m**5 - 1/54*m**4 - 1/135*m**c + 9*m + 0. Find r, given that u(r) = 0.
0, 1
Find p, given that p**3 - 90*p**2 - 3*p**3 - 18 + 42*p**2 + 18*p + 50*p**2 = 0.
-3, 1, 3
Suppose 3*r - 31 = -5*f, -3*f - 13 = r - 6*f. Let h = 2707/8103 + -2/2701. Factor -4/3*t**3 + h*t**4 + 1/3 - 4/3*t + 2*t**r.
(t - 1)**4/3
Let t(z) be the second derivative of -z**7/105 - 19*z**6/15 - 277*z**5/50 - 89*z**4/30 + 278*z**3/15 + 184*z**2/5 + 47*z - 2. Suppose t(n) = 0. What is n?
-92, -2, -1, 1
Let h = 1124 - 4493/4. Let f be (20/25)/(2/5). Factor -h + 33/8*a + 9/4*a**f.
3*(a + 2)*(6*a - 1)/8
Let c be 182/(-1001) + (62/(-22) - -1). Let p be (-12)/9*c/(-8)*-2. Factor -4/3 - p*y**2 + 2*y.
-2*(y - 2)*(y - 1)/3
Let p(q) = 108*q**3 - 2350*q**2 + 21952*q - 76832. Let x be -1 - -6*6/12. Let c(b) = b**4 - 2*b**3 + b**2. Let z(s) = x*c(s) - p(s). Factor z(v).
2*(v - 14)**4
Suppose 3*r - 9 = 4*j, 98*j + r = 93*j - 16. Let o be (j - -2)*(-3 + 3). Let -1/6*i**2 + 0*i + o + 4/3*i**3 - 8/3*i**4 = 0. What is i?
0, 1/4
Let x = 739/392 + -627/392. Suppose 30/7*u - 52/7 - x*u**2 = 0. What is u?
2, 13
Let b(c) = 4*c - 22. Let a be b(5). Let n be (1 - -7)/a*42/(-56). What is i in 4*i - i - 7*i - 2*i**2 + 9 - n = 0?
-3, 1
Suppose -x - 462 = -467. Let z(i) be the second derivative of -1/3*i**4 + 0 + 0*i**2 - 1/3*i**3 - 15*i - 1/10*i**x. Suppose z(c) = 0. Calculate c.
-1, 0
Let i(x) be the third derivative of -2250/7*x**3 + 0 - 225/4*x**4 + 13*x**2 - 1/735*x**7 + 0*x - 47/420*x**6 - 51/14*x**5. Determine c so that i(c) = 0.
-15, -2
Let z = -58020 + 58022. Let -2/11*j**z - 2 + 24/11*j = 0. Calculate j.
1, 11
Solve 2181714*y - 2181709*y - 32*y**4 - 373*y**4 + 85*y**2 + 315*y**3 = 0 for y.
-1/9, 0, 1
Let h = 810402 + -810400. Factor 15*z + 0 - 21/2*z**h + 3/2*z**3.
3*z*(z - 5)*(z - 2)/2
What is f in 1175*f - 134*f**2 + 20*f**2 + 935*f**2 + 349*f**2 - 5*f**3 = 0?
-1, 0, 235
Let v(z) be the second derivative of 3/2*z**3 + 0*z**2 - 1 - 1/20*z**5 - 6*z + 2/3*z**4. Factor v(c).
-c*(c - 9)*(c + 1)
Let q(w) be the first derivative of -w**4/2 + 934*w**3 - 654267*w**2 + 203695126*w + 1018. Factor q(i).
-2*(i - 467)**3
Let w = -536980 + 3758861/7. Let -2/7*u**3 + w*u**5 - 9*u - 27/7 - 6*u**2 + 5/7*u**4 = 0. What is u?
-3, -1, 3
Factor -13690/19 + 2/19*h**3 + 1998/19*h + 138/19*h**2.
2*(h - 5)*(h + 37)**2/19
Let x(c) be the third derivative of 3/8*c**3 + 0*c - 1/4*c**4 + 11/120*c**5 - 1/60*c**6 + 0 + 1/840*c**7 + 87*c**2. Factor x(l).
(l - 3)**2*(l - 1)**2/4
Let k(l) be the second derivative of -1/126*l**7 + 9 - 7/18*l**4 + 1/18*l**6 + 1/6*l**3 - 1/30*l**5 + 3/2*l**2 + 3*l. Find x, given that k(x) = 0.
-1, 1, 3
Factor 3 - 1 - 577*g - 2 + 523*g - 2*g**2.
-2*g*(g + 27)
Let b = -378716777/85 - -4455556. Let d = -930/17 + b. Factor 14/5*q - d - 1/5*q**2.
-(q - 7)**2/5
Factor -137905*i**3 - 1/10*i**5 - 621952453/10*i - 156520369/5*i**2 - 310288733/10 - 2033/10*i**4.
-(i + 1)**2*(i + 677)**3/10
Let n(t) be the third derivative of 0*t - 7/15*t**5 - 4*t**3 + 0 + 17/6*t**4 + 42*t**2. Factor n(g).
-4*(g - 2)*(7*g - 3)
Let c(d) be the second derivative of -d**6/60 + 17*d**5/20 - 83*d**4/8 - 63*d**3 + 243*d**2 - 9721*d. Suppose c(l) = 0. What is l?
-3, 1, 18
Suppose -22*i = 8*i - 60. Let c(g) = g - 2. Let b be c(5). Let -4*d**3 + 34*d - 42*d + 9*d**i + 3*d**b = 0. What is d?
0, 1, 8
Let o(y) be the third derivative of -y**6/420 - 11*y**5/30 - 1591*y**4/84 - 1369*y**3/7 - 2*y**2 - y - 95. What is z in o(z) = 0?
-37, -3
Suppose 2/3*q**3 - 6*q + 16/3*q**2 + 0 = 0. What is q?
-9, 0, 1
Suppose -i - u = -482 + 88, -3*i + u + 1190 = 0. Let b = 400 - i. Suppose 4/3*r**b - 4*r**2 + 0 + 8/3*r + 0*r**3 = 0. What is r?
-2, 0, 1
Let m(l) = l**3 - 12*l**2 + 6*l + 12. Let u be m(12). Solve 108*q**2 + u*q - 51 + q**3 - 57 + 2*q**3 - 87*q = 0.
-36, -1, 1
Let g = 5771/2534 - -3/362. Let o = 43386 - 43384. Let 8/7*y**4 + 12/7*y**3 + 8/7 - 6/7*y - g*y**o - 6/7*y**5 = 0. Calculate y.
-1, 1, 4/3
Suppose 0 = 11*v + 10 + 749. Let u be (-3)/8*92/v. Suppose -u*k**2 + 3/2 + k = 0. Calculate k.
-1, 3
Factor 17328/11 + 1976/11*z - 140/11*z**2 + 2/11*z**3.
2*(z - 38)**2*(z + 6)/11
Let q(u) be the third derivative of -u**6/120 + 29*u**5/60 - 175*u**4/24 + 49*u**3/2 - u**2 + u - 4098. Factor q(l).
-(l - 21)*(l - 7)*(l - 1)
Let o(c) be the third derivative of c**6/660 + 4*c**5/165 - 23*c**4/132 - 10*c**3/11 + 10583*c**2. Factor o(a).
2*(a - 3)*(a + 1)*(a + 10)/11
Let r(b) = b**2 - 8*b + 9. Let h be r(-4). What is s in 60*s**3 + 140*s**2 + h*s**3 - 199*s**3 + 60*s + 57*s**3 = 0?
-2/5, 0, 6
Factor 82/3*l + 533*l**3 + 1837/6*l**2 + 2/3 + 507/2*l**4.
(l + 1)**2*(39*l + 2)**2/6
Suppose -3*y + 77 = -289. Let c = 124 - y. Find q such that -717*q**2 + 2900 + 972*q + 16 + 825*q**c + 4*q**3 = 0.
-9
Let f(k) be the second derivative of 0*k**3 + 0*k**2 + 5 - 3/20*k**5 - 2*k + 1/2*k**4 - 1/10*k**6. Factor f(a).
-3*a**2*(a - 1)*(a + 2)
Let g = -45 - -181. Suppose -5*f**2 + 264*f + 66*f + 132 + g*f + 19*f**2 = 0. Calculate f.
-33, -2/7
Factor -194*f - 584/3 + 2/3*f**2.
2*(f - 292)*(f + 1)/3
Let n(s) be the first derivative of -80*s + 20*s**2 + 9 - 5/3*s**3. Factor n(b).
-5*(b - 4)**2
Factor -2065*k + 1690*k - 1599*k + 2*k**2 + 3945 + 601 - 2574*k.
2*(k - 2273)*(k - 1)
Let k(w) be the second derivative of w**7/84 - 3*w**6/4 + 43*w**5/20 + w**4/12 - 29*w**3/4 + 43*w**2/4 + 2*w - 57. Find q such that k(q) = 0.
-1, 1, 43
Let b(i) be the third derivative of i**5/30 + 35*i**4/4 + 102*i**3 + 4*i**2 + 23*i - 1. Factor b(f).
2*(f + 3)*(f + 102)
Suppose 29*t - 22*t = 91. Let c(r) = -r + 1. Let m be c(-1). Factor -t*d + d + 2*d**2 + d**m.
3*d*(d - 4)
Let s(t) = -2*t**2 + 26*t - 17. Let v be s(12). Solve 36 + 7*g**2 + v*g + 4*g**2 - 67*g - 2*g**2 = 0 for g.
2/3, 6
What is c in 50*c**3 - 103*c**3 + 45*c**2 + c + 48*c**3 - 98*c + 80 - 23*c = 0?
1, 4
Let w(b) be the third derivative of 0 - b + 1/90*b**5 + 35/18*b**4 - 93*b**2 + 1225/9*b**3. Factor w(o).
2*(o + 35)**2/3
Let n(j) be the first derivative of 11/27*j**4 - 14 - 40/27*j**3 - 8/9*j**2 - 6*j. Let m(b) be the first derivative of n(b). Factor m(l).
4*(l - 2)*(11*l + 2)/9
Let i = -11 - -16. Let c(u) = -u**2 + 5*u + 2. Let j be c(i). Factor 15*z + 18*z**3 - 10 + 6*z**2 + 5*z**5 + 4*z**j - 38*z**3.
5*(z - 1)**3*(z + 1)*(z + 2)
Let z(i) be the second derivative of i**4/60 - 194*i**3/15 - 389*i**2/10 - 5190*i. Factor z(q).
(q - 389)*(q + 1)/5
Suppose 0 = -j + 1 - 12. Let v(t) = t**3 + 11*t**2 - t - 9. Let n be v(j). Find k 