et c(q) = -13*h(q) - 6*u(q). Find z such that c(z) = 0.
-80, 2
Suppose -4*y + 70 = y + 3*d, 3*y + 4*d = 53. Let w be -2*(-11)/(y/4). Let 4*t**3 + w*t**2 + 32 + 37*t + 19*t + 20*t**2 = 0. Calculate t.
-4, -2, -1
Factor 5*f**2 + 6112232*f + 144 - 6112046*f + 3*f**3 + 4*f**2 + 36*f**2.
3*(f + 1)*(f + 6)*(f + 8)
Suppose 28*p - 12*p = 32. Factor -199*b**2 - 11*b - 24*b + 204*b**p.
5*b*(b - 7)
Solve 0 + 45/2*s + 15/2*s**2 + 5/2*s**4 - 25/2*s**3 = 0.
-1, 0, 3
Let u(j) be the third derivative of 2*j + 43*j**2 + 1/120*j**5 - 1/4*j**4 + 0 + 11/12*j**3. Factor u(y).
(y - 11)*(y - 1)/2
What is l in 30*l + 76/3 + 14/3*l**2 = 0?
-38/7, -1
Let g be -8*(-3 + 7356/920 + -5). Let c = 10/23 - g. Factor i**2 + 11/5*i + c.
(i + 2)*(5*i + 1)/5
Suppose -2/21*j**5 + 0 + 440/21*j**2 + 44/21*j**4 - 94/7*j**3 - 200/21*j = 0. What is j?
0, 1, 10
Factor -3098*d - 1301*d + 7895 + 5*d**2 - 787*d - 135 + 1296*d.
5*(d - 776)*(d - 2)
Let u(f) be the second derivative of -f**5/15 + 274*f**4/9 + 2216*f**3/9 + 2224*f**2/3 + 5*f - 1248. Factor u(h).
-4*(h - 278)*(h + 2)**2/3
Determine f so that -35/4*f**2 - 3/2*f**3 - 37/4*f + 7 = 0.
-4, -7/3, 1/2
Suppose -23*v - 23*v + 322 = 0. Let j(w) be the third derivative of 0*w**3 + 0*w - 12*w**2 + 1/15*w**5 + 1/12*w**4 - 2/105*w**v - 1/60*w**6 + 0. Factor j(l).
-2*l*(l - 1)*(l + 1)*(2*l + 1)
Let g(d) be the third derivative of -3*d**7/14 - 269*d**6/240 + d**5/40 + 15*d**4/2 - d**3/3 + 23*d**2 + 1. Determine j so that g(j) = 0.
-2, 1/90, 1
Let h = 17 - 15. Factor 38 - 22*p + h*p**2 - 2 - 16*p.
2*(p - 18)*(p - 1)
Let r(n) be the second derivative of -4 - 40*n + n**4 + 2/15*n**6 + 0*n**2 + 2/3*n**3 + 3/5*n**5. Factor r(p).
4*p*(p + 1)**3
Suppose -16/3*o**4 + 10/9*o**5 + 28/9*o**2 + 0 - 26/3*o**3 + 16/3*o = 0. What is o?
-1, 0, 4/5, 6
Suppose 3*u + 8 = 4*s, s - 2*u + 2 + 1 = 0. Suppose 0 = -8*h + s*h - 0*h. Solve h*n - 8*n + 3*n - 5*n**2 = 0 for n.
-1, 0
Let -11/2*d + 1/10*d**3 + 12/5*d**2 - 39/5 = 0. Calculate d.
-26, -1, 3
Let g = 76 + -72. Factor -24*a - 10*a**3 - 32*a**2 - a**4 - 8*a**3 - 4*a**2 - 2*a**g.
-3*a*(a + 2)**3
Let m(a) be the third derivative of 55*a**2 + 0*a - 4/105*a**5 + 0*a**3 + 1/420*a**6 + 0 + 0*a**4. Suppose m(u) = 0. Calculate u.
0, 8
Suppose -1214/5 - 2/5*f**3 - 486*f - 1218/5*f**2 = 0. Calculate f.
-607, -1
Let a(j) be the second derivative of 5*j**4/12 - 455*j**3 + 372645*j**2/2 + 1013*j. Factor a(c).
5*(c - 273)**2
Let a = -3759 - -3761. Let g(m) be the second derivative of -1/72*m**4 - 1/60*m**5 + 1/180*m**6 - 16*m + 0*m**a + 0 + 1/18*m**3. Solve g(j) = 0.
-1, 0, 1, 2
Suppose 12*g + 10*g - 342 = 4*g. Let l(k) be the first derivative of -1/8*k**2 - g + 0*k + 3/16*k**4 + 1/6*k**3. Factor l(u).
u*(u + 1)*(3*u - 1)/4
Let f(g) be the first derivative of -g**3/3 - 326*g**2 - 106276*g - 810. Suppose f(t) = 0. Calculate t.
-326
Let b = 473 - 649. Let m = b + 176. Suppose -2/5*w**2 - 2/5*w + m = 0. Calculate w.
-1, 0
Suppose 23*w - 3*d - 17 = 25*w, 0 = -5*w + d + 17. Factor -2/25*g**w + 12/25*g - 16/25.
-2*(g - 4)*(g - 2)/25
Solve 48*r**3 + 4*r**5 + 7*r**4 - 6*r**4 + 48*r**2 + 7*r**4 + 16*r**4 - 16*r**2 = 0 for r.
-2, 0
Let f(t) be the second derivative of 0 + 10/3*t**3 - 2/15*t**6 - t**5 + 91*t - t**4 + 8*t**2. Factor f(w).
-4*(w - 1)*(w + 1)**2*(w + 4)
Suppose 7*h + 6 - 27 = 0. What is o in 41*o**3 - 52*o**4 - 3*o**5 + 15*o + 36*o**4 - 18 - 53*o**h + 34*o**2 = 0?
-3, -1, 2/3, 1
Let s = 122123/2 - 61060. Let s + 5/4*h + 1/4*h**2 = 0. What is h?
-3, -2
Let d(a) be the third derivative of -a**7/840 + a**6/240 + a**5/20 + 7*a**4/48 + 5*a**3/24 - 3*a**2 + 155*a - 2. Factor d(u).
-(u - 5)*(u + 1)**3/4
Let y be ((-29510)/1092 - -27)*-2130 - 31. Factor 27/7*q**4 + 27/7 + 99/7*q + 90/7*q**3 + 3/7*q**5 + y*q**2.
3*(q + 1)**3*(q + 3)**2/7
Let c(d) = 13*d + 659. Let x be c(-50). Let f(s) be the second derivative of 6/7*s**2 - x*s + 0 - 1/28*s**4 + 0*s**3. Suppose f(i) = 0. Calculate i.
-2, 2
Suppose -4*q = -4*z + 12, q + z = -4*z + 27. Solve 205*k**2 + 194*k**4 + 265*k**q + 145*k**3 + 700*k - 174*k**4 + 191 + 201 + k**5 = 0 for k.
-7, -2
Let x(f) = -12*f**4 + 570*f**3 + 1126*f**2 + 584*f + 10. Let m(k) = 11*k**4 - 569*k**3 - 1126*k**2 - 582*k - 9. Let u(z) = 10*m(z) + 9*x(z). Factor u(c).
2*c*(c - 282)*(c + 1)**2
Let u(f) be the first derivative of -f**4/34 + 370*f**3/51 - 367*f**2/17 + 366*f/17 + 6049. Solve u(l) = 0 for l.
1, 183
Let o(c) = c**3 + 94*c**2 - 144*c + 8. Let d(g) = -g**3 - 157*g**2 + 240*g - 13. Let i(u) = -8*d(u) - 13*o(u). What is r in i(r) = 0?
0, 2, 24/5
Let o(d) be the first derivative of 0*d - 167 + 12*d**2 + 1/2*d**4 - 16/3*d**3. Factor o(k).
2*k*(k - 6)*(k - 2)
Find q such that 63*q**5 - 2409*q**4 - 70146/7*q**3 - 288 + 19476/7*q**2 + 7608/7*q = 0.
-4, -1/3, 2/7, 42
Let d(m) be the first derivative of -15*m**3 + 245*m**2/2 + 290*m - 4305. Factor d(z).
-5*(z + 1)*(9*z - 58)
Factor 1/5*i**2 - 613/5*i + 0.
i*(i - 613)/5
Let o(b) = b**3 - 25*b**2 + 26*b + 1. Let s be o(24). Factor -2*j**2 + 68 + 34*j - 51 - s.
-2*(j - 16)*(j - 1)
Let m = 532 - 530. Suppose -w + 3*n = 8, -w + m + 10 = 2*n. Solve -12/5*v**2 - 12/5*v**3 - 4/5*v + 0 - 4/5*v**w = 0 for v.
-1, 0
Let w(f) be the first derivative of f**3/9 + 35*f**2/6 + 124*f/3 - 42. Factor w(z).
(z + 4)*(z + 31)/3
Let z = -337751/2 - -9287559/55. Let b = -16/55 - z. Factor -b*u**3 - 153/2*u - 27 + 60*u**2.
-3*(u - 3)**2*(7*u + 2)/2
Let t(s) = 12*s**2 - 13*s**2 - 6*s + 1 + 1. Let z be t(-6). Find b, given that 3*b - 10*b + 8 - z*b + 20*b**2 - 19*b = 0.
2/5, 1
Let p(n) be the second derivative of 7*n**5/5 - 109*n**4/3 + 484*n**3/3 - 208*n**2 + 4*n - 51. Factor p(b).
4*(b - 13)*(b - 2)*(7*b - 4)
Let n(p) be the second derivative of -1953*p**5/100 + 136*p**4/15 + 2*p**3/15 - 192*p - 3. Factor n(b).
-b*(7*b - 2)*(279*b + 2)/5
Let u(r) = -18*r + 100. Let c be u(6). Let w be c/120*-5 + 3. Factor -2/3*t**2 + 4 - w*t.
-2*(t - 1)*(t + 6)/3
Let m(q) be the first derivative of -q**3/18 - 89*q**2/3 + 1553. Factor m(g).
-g*(g + 356)/6
Let s(y) be the second derivative of -58*y + 0 + 3/2*y**2 + 1/12*y**4 - 2/3*y**3. Solve s(q) = 0 for q.
1, 3
Let c(l) = l**2 - 5*l + 2. Suppose -20 + 6 = 7*y. Let z(b) = 3*b**2 - 15*b + 7. Let v(u) = y*z(u) + 7*c(u). Factor v(g).
g*(g - 5)
Let g(n) be the first derivative of -9*n + 7*n**3 - 5/8*n**4 + 197 + 29/4*n**2. Factor g(q).
-(q - 9)*(q + 1)*(5*q - 2)/2
Let k(z) be the third derivative of -z**7/735 + 3*z**6/28 + 23*z**5/105 + 6*z**2 - 309*z. Let k(c) = 0. Calculate c.
-1, 0, 46
What is j in -5*j**5 - 8989 + 17978 - 8989 - 55*j**4 - 105*j**2 - 155*j**3 = 0?
-7, -3, -1, 0
Let b = 9631 + -9629. Let x(t) be the first derivative of -3 + 2*t - 1/3*t**3 + 1/2*t**b. Find w such that x(w) = 0.
-1, 2
Let s(f) = -2*f + 4*f - 2 - 1 + f. Let x be s(2). Factor -x*q**2 - 34*q + 38*q + 20*q.
-3*q*(q - 8)
Let v be (-16)/1*(-29)/232. Let a(s) be the first derivative of 1/2*s**4 - 5/2*s**v + 13 + 1/3*s**3 + 2*s. Factor a(z).
(z - 1)*(z + 2)*(2*z - 1)
Let r(c) be the third derivative of c**6/40 + 3*c**5/10 - 1708*c**2. Factor r(b).
3*b**2*(b + 6)
Suppose 5*b = 3*j + 948, 3*b - 74 - 486 = 4*j. Find a such that -103*a**4 + 30*a**3 + b*a**4 - 5*a**5 - 94*a**4 = 0.
-3, 0, 2
Let u be 6776/2310 - (-24)/(-15). Find z, given that 4/3*z**4 - 8/3*z**3 - 8/3*z**2 + 4/3 + u*z + 4/3*z**5 = 0.
-1, 1
Let a(t) be the first derivative of -t**4/36 - 7*t**3/18 - t**2 + 81*t + 55. Let m(i) be the first derivative of a(i). Factor m(u).
-(u + 1)*(u + 6)/3
Suppose u = -5*b - 26, 10*u - b + 2 = 12*u. Let m(s) be the first derivative of -s**u + 1/5*s**5 + 18 + s**3 + 0*s**2 + 0*s. Let m(k) = 0. Calculate k.
0, 1, 3
Let u be 344/688*(13/3 - 1). Let a(f) be the first derivative of -11 - 20*f**2 - u*f**3 - 80*f. Find z, given that a(z) = 0.
-4
Let a(o) be the second derivative of o**4/4 + 391*o**3 + 458643*o**2/2 - 1095*o. Determine t so that a(t) = 0.
-391
Suppose 4/7*u**5 + 576/7 + 1088/7*u - 132/7*u**3 + 412/7*u**2 - 4*u**4 = 0. Calculate u.
-4, -1, 4, 9
Let 20*f + 0*f**3 + 2*f**2 - f**3 - 112320 + 112344 = 0. What is f?
-2, 6
Let r(u) = 35*u**2 + 85*u + 10. Let x = 113 + -78. Let z(t) = -65*t - 8 - 44*t - x*t**2 + 23*t. Let y(b) = -6*r(b) - 5*z(b). Factor y(g).
-5*(g + 2)*(7*g + 2)
Let n = 383230 - 383228. Factor 2*c**n + 3 - 19/4*c - 1/4*c**3.
-(c - 4)*(c - 3)*(c - 1)/4
Let x(t) be the 