-32*x - 15. Let k(j) = v(j) + 6*z(j). Let w be k(-7). Find m such that 10*m**2 + 2*m - w - 7*m + 235 + 5*m**3 = 0.
-2, -1, 1
Let b be (-16)/6*1089/20. Let d = 146 + b. Factor -d*i**4 + 0*i + 4*i**3 + 0 - 4/5*i**5 - 12/5*i**2.
-4*i**2*(i - 1)**2*(i + 3)/5
Let b be 3/(-2) - 12/8 - -22. Suppose 0 = 8*p + b*p. What is l in 0*l**2 + p - 2*l + 9/2*l**3 = 0?
-2/3, 0, 2/3
Let p(s) be the second derivative of -s**4/6 + 1394*s**3/3 - 485809*s**2 - 1707*s - 2. Find k such that p(k) = 0.
697
Let m(j) be the third derivative of 4*j**7/735 - j**6/70 - 2*j**5/105 + 7*j**2 - 22*j. Solve m(z) = 0 for z.
-1/2, 0, 2
Let j be 8 + (-8)/2 - (-3 + -78). Let o = j - 83. Factor -3*g - 6*g + 14*g**o - g + 8*g.
2*g*(7*g - 1)
Suppose -4*y - 60 = -1672. Let p = y - 403. Find q such that 1/3*q + p + 1/3*q**2 = 0.
-1, 0
Find k such that 842*k + 220 + 1400 - 760*k**3 - 277*k - 67*k**4 - 5*k**5 + 200*k - 43*k**4 - 1510*k**2 = 0.
-9, -4, -1, 1
Let q(r) = r**4 - r**3 - 9*r**2 + r + 2. Let b(m) = -14*m**4 - 60*m**3 - 1020*m**2 + 7124*m - 9152. Let a(h) = -2*b(h) - 26*q(h). Solve a(z) = 0.
-39, 2, 3
Let r = 1 - -3. Suppose 0 = 4*q + 2*n - 20, 1142*q - 1140*q = -2*n + 12. Factor 4 - r*x**2 + q + 0 - 10*x + 6*x**2.
2*(x - 4)*(x - 1)
Let d(a) = -5*a**4 - 91*a**3 + 310*a**2 - 330*a - 6. Let v(s) = 4*s**4 + 90*s**3 - 313*s**2 + 329*s + 5. Let b(i) = 5*d(i) + 6*v(i). Factor b(m).
-m*(m - 81)*(m - 2)**2
Let r(z) = 5*z**2 - 18*z - 37. Let i be r(-10). Solve 10*h**5 - 1117*h**2 - 100 - 18*h**2 - 758*h**4 - 30*h**5 + i*h**4 + 730*h**3 + 640*h = 0 for h.
-10, 1/4, 1, 2
Determine k, given that -58327*k - 27*k**3 + 58183*k - k**3 - 592*k**2 + 16*k**5 + 148*k**4 = 0.
-9, -2, -1/4, 0, 2
Let q(w) be the second derivative of -5*w**7/63 + 68*w**6/45 - 11*w**5/10 - 75*w**4 - 216*w**3 + 2*w - 61. Let q(r) = 0. What is r?
-12/5, -2, 0, 9
Let j(v) be the second derivative of 3*v**5/40 + 43*v**4/8 - 93*v**3/4 - 405*v**2/4 + 1278*v. Find a such that j(a) = 0.
-45, -1, 3
Let l(b) be the first derivative of -3*b**5/5 - 18*b**4 + 26*b**3 + 36*b**2 - 75*b + 2674. Let l(f) = 0. What is f?
-25, -1, 1
Let f be 6/4 + (-3)/(-6). Factor -342*h**2 - 676 + 173*h**f + 165*h**2 + 104*h.
-4*(h - 13)**2
Let j(f) be the first derivative of 0*f + 100/7*f**2 + 160/21*f**3 - 19/14*f**4 + 2/35*f**5 - 230. Factor j(n).
2*n*(n - 10)**2*(n + 1)/7
Let l = 2 + 1. Suppose -3*s + 0*r + 38 = 2*r, 5*s + l*r = 63. Factor s*w - 4*w**2 - 6 + 7*w**2 - 2 + 20.
3*(w + 2)**2
Suppose -5*i + 2*t + 0 = -5, -i - 17 = -4*t. Determine o so that -24*o - 323*o**3 + 94*o**2 - 326*o**i + 657*o**3 = 0.
-12, 0, 1/4
Let d(k) be the first derivative of -3*k**4/4 - 72*k**3 - 2142*k**2 - 13872*k - 1847. What is a in d(a) = 0?
-34, -4
Let s(w) be the first derivative of w**4/9 + 20*w**3/9 + 6*w**2 + 43*w - 56. Let c(f) be the first derivative of s(f). Solve c(g) = 0.
-9, -1
Suppose 4*l - 18 = -3*s, 7*s - l - 1 = 5*s. Let c be -18 + (7 - (-16 + 5)). Factor c + 0*b - 9/2*b**4 + 15/8*b**5 + 27/8*b**3 - 3/4*b**s.
3*b**2*(b - 1)**2*(5*b - 2)/8
Let f(q) be the first derivative of -4*q**5/15 + 10*q**4/3 - 44*q**3/3 + 80*q**2/3 - 64*q/3 - 690. Factor f(r).
-4*(r - 4)**2*(r - 1)**2/3
Let u(x) = -155*x**2 + 43903*x + 14614. Let z(f) = 25*f**2 - 7317*f - 2436. Let r(l) = -2*u(l) - 13*z(l). Suppose r(w) = 0. What is w?
-1/3, 488
Let -43904 - 2/7*x**4 + 21056*x - 16104/7*x**2 - 376/7*x**3 = 0. What is x?
-98, 4
Let h be ((-3938)/(-297) - 13)/(8*(-2)/(-96)). Let 4/3 - 38/9*b - h*b**2 = 0. Calculate b.
-3, 2/7
Let d be (3 - 2)*(-29)/(-2)*2. Determine n so that 52*n - 4*n**2 - 9*n - 24 + d*n - 44 = 0.
1, 17
Let b(q) = -151*q - 2676. Let a be b(-18). Let f(u) be the first derivative of -a + 3/2*u**4 + 1/2*u**5 + 1/2*u**2 + 3/2*u**3 + 0*u. Factor f(k).
k*(k + 1)**2*(5*k + 2)/2
Suppose 0 = 10776*j - 10809*j. Factor 1/4*y**4 + y**3 + y**2 + j + 0*y.
y**2*(y + 2)**2/4
Determine f so that 573 - 3/2*f**5 - 570*f**4 - 3*f**2 - 2289/2*f + 1146*f**3 = 0.
-382, -1, 1
Let l = 375 + -390. Let m be (9/l)/(3/(-15)). Factor -16/7 + 2*n**m - 8*n + 4/7*n**2.
2*(n - 2)*(n + 2)*(7*n + 2)/7
Let z = 5280 + -5275. Let a(g) be the first derivative of 5/3*g**3 - z*g**2 + 5*g - 4. Factor a(w).
5*(w - 1)**2
Let p = 5431/504105 + -6/4801. Let a(q) be the third derivative of 0*q**3 + 0*q + 0 - p*q**5 + 8*q**2 - 5/252*q**4 - 1/1260*q**6. Factor a(o).
-2*o*(o + 1)*(o + 5)/21
Let 4/5*b**3 + 472/5*b**2 - 28/5*b**4 + 944/5*b + 96 = 0. Calculate b.
-2, -6/7, 5
Let g(d) = -d**2 - 23*d - 41. Let z be g(-19). Suppose -9*q + 10 + z = 0. Find b such that 15*b - 20 - 4*b + q*b**2 - 3*b + 7*b = 0.
-4, 1
Factor 464 + 5570/3*j + 8/3*j**2.
2*(j + 696)*(4*j + 1)/3
Let f = -1398 + 1392. Let i be (-1909)/(-415) + (f/(-5))/(-2). Find a, given that -5/2*a**3 - 3/2*a + 1/2*a**i + 0 + 7/2*a**2 = 0.
0, 1, 3
Let i(s) = -5*s**4 + 120*s**3 + 355*s**2 - 280*s + 20. Let c(d) = d**4 + 2*d**3 + d**2 - d + 2. Let r(p) = -10*c(p) + i(p). Suppose r(n) = 0. Calculate n.
-3, 0, 2/3, 9
Let a(y) = -4*y**3 - 9*y**2 + 4*y + 9. Let j(f) = 2*f**3 + 3*f**2 - 2*f - 3. Let g(u) = 3*a(u) + 7*j(u). Determine r, given that g(r) = 0.
-1, 1, 3
Let u(w) = w + 2. Let k be u(-3). Let p be (12/(-12))/(k/3). Let 4*n**4 - 8*n**2 - 4*n**5 - 4*n + 5*n**3 + 6 + p*n**3 - 2 = 0. What is n?
-1, 1
Let q = 24404/3153 - 1128/1051. Find m, given that -4/3*m**2 + 2/3*m**5 + 10/3 - 2*m**4 + 6*m - q*m**3 = 0.
-1, 1, 5
Let v(x) = -x**3 - 26*x**2 + 56*x + 24. Let f be v(-28). Let p(d) be the second derivative of f*d - 1/3*d**2 - 1/18*d**3 + 1/36*d**4 + 0. Factor p(l).
(l - 2)*(l + 1)/3
Suppose -789*u**3 - 8*u**4 + 259*u**3 + 256*u**3 + 4*u**5 + 32*u**2 + 258*u**3 = 0. What is u?
-2, 0, 2
Let z(l) = -256*l - 256. Let g be z(-1). Let n(q) be the second derivative of -1/6*q**4 + 5*q - 2/3*q**3 + 0 + g*q**2. Factor n(p).
-2*p*(p + 2)
Let j(z) be the first derivative of 2*z**3/27 + 124*z**2/3 + 742*z/9 - 7712. Factor j(o).
2*(o + 1)*(o + 371)/9
Let j(q) = -q**4 + 2*q**3 + 2*q + 1. Let m(t) = t**4 + 50*t**3 + 168*t**2 + 262*t + 131. Let o(i) = 3*j(i) - m(i). Factor o(d).
-4*(d + 1)*(d + 2)*(d + 4)**2
Suppose 0 = -15*u + 12*u + 15. Suppose -k + 3*m + 4 = 0, 3*k - 5*m + 52 = u*k. Factor 21*i - 12 - k + 3*i**2 + 4.
3*(i - 1)*(i + 8)
What is s in -11/6*s**4 + 185*s + 871/6*s**2 - 1/2*s**5 + 51/2*s**3 + 200/3 = 0?
-5, -1, -2/3, 8
Let u(a) = 10*a - 287. Let q be u(36). Suppose 0 = 19*v - 111 + q. Factor -2/15*x**v + 4/15*x + 0.
-2*x*(x - 2)/15
Suppose -4*c - 3 = l, l + 5*c + 2 = 2*c. Let u be 67 - 67 - 3*(l + -2). Suppose 3/5*f**4 + 3/5*f**2 - 6/5 + 9/5*f**u - 9/5*f = 0. Calculate f.
-2, -1, 1
Let v = -199373 - -199424. Determine x so that -v*x**3 - 99/2*x**4 + 48*x**2 + 3/2 + 51*x = 0.
-1, -1/33, 1
Let m be 15750/1323*(0 - (-24)/10). Factor -138/7*h**2 - m - 4*h**3 - 2/7*h**4 - 40*h.
-2*(h + 2)**2*(h + 5)**2/7
Let g(b) be the third derivative of b**6/540 + 2*b**5/135 - b**4/108 - 4*b**3/27 + b**2 + 4*b + 103. Let g(z) = 0. Calculate z.
-4, -1, 1
Suppose -234 = -12*v - 105*v. Let p(u) be the second derivative of 47/4*u**5 + 0 + 35/6*u**6 + 7/6*u**7 + 20/3*u**3 + 2*u**v + 145/12*u**4 - 10*u. Factor p(b).
(b + 1)**3*(7*b + 2)**2
Let a(j) = 18*j**5 + 65*j**4 + 158*j**3 + 178*j**2 + 70*j + 21. Let s(f) = -f**5 + f**3 + f**2 + 2*f - 1. Let y(t) = -4*a(t) - 36*s(t). Solve y(h) = 0 for h.
-3, -2, -1, -2/9
Let h(u) = -5*u**2 - 6*u + 20. Suppose -w + 157 = -98. Let c be w/(-40) - (-9)/24. Let k(i) = i. Let y(d) = c*k(d) - h(d). Factor y(p).
5*(p - 2)*(p + 2)
Let l(k) be the second derivative of -9/2*k**2 + 7/4*k**3 - 1/20*k**6 - 9/40*k**5 + 3/8*k**4 + 8*k + 0. Suppose l(p) = 0. Calculate p.
-3, -2, 1
Factor -81*i - 59*i**2 + 3/4*i**3 + 80.
(i - 80)*(i + 2)*(3*i - 2)/4
Let r = 101 + -89. Let u be -8*((-51)/r + 4) - -3. Factor -4 - 2*p - 7*p**2 + 5*p + 3*p**2 + u*p.
-4*(p - 1)**2
Let g be 0 + 0 + (-10 - -7 - 34/(-11)). What is f in 12/11 + g*f**2 - 13/11*f = 0?
1, 12
Factor 4200*x**2 - 283*x**3 - 160*x**4 + 4500*x - 156*x**4 - 12*x**3 + 321*x**4.
5*x*(x - 30)**2*(x + 1)
Let p(n) be the third derivative of n**5/30 + 31*n**4/12 - 266*n**3/3 + 342*n**2 + 4*n. Factor p(v).
2*(v - 7)*(v + 38)
Let c be (7 - 42/7)*-5*6. Let b be 12/10*(250/c + 9). Factor 4/5*g - 4*g**2 - b*g**3 + 4.
-4*(g - 1)*(g + 1)*(g + 5)/5
Let w(c) be the first derivative of -2*c**3/21 + 48*c**2/7 - 270*c/7 - 432. Factor w