*w**5 - 3*w**3 + w**4 - 13*w**4 - m.
-4*(w - 1)*(w + 1)**4
Let k(s) be the first derivative of 11*s - 1/6*s**4 - 29 - 25*s**2 + 10/3*s**3. Let z(v) be the first derivative of k(v). Solve z(i) = 0.
5
Suppose 10*o + 101 - 121 = 0. Suppose 5*r + 7 = -4*f, -4*r = -4*f + o*f + 16. Factor 2/9*g + 2/9*g**f + 0.
2*g*(g + 1)/9
Let g(z) be the third derivative of z**7/168 + 19*z**6/120 - 13*z**5/48 - z**4/6 - 2*z**2 - 14. Factor g(c).
c*(c - 1)*(c + 16)*(5*c + 1)/4
Let x(f) be the first derivative of 5*f**5 - 105*f**4/2 - 20*f**3/3 + 420*f**2 - 320*f + 596. Let x(j) = 0. What is j?
-2, 2/5, 2, 8
Let p(f) = 13*f - 10. Let g be p(3). Suppose g = d - 18. Let 39 - 15*n - 5*n**2 - d + 28 = 0. What is n?
-4, 1
Let k(w) be the second derivative of 35*w + 1/6*w**4 - 1 + 11/3*w**3 + 18*w**2. Determine x, given that k(x) = 0.
-9, -2
Let x(h) = -h**3 - 5*h**2 - 4*h + 2. Let y be x(-4). Let i(c) be the first derivative of 7 - 4/5*c**3 - 9/10*c**y + 0*c - 3/20*c**4. Factor i(s).
-3*s*(s + 1)*(s + 3)/5
Factor -6/5 + 1/5*h**2 + 1/5*h.
(h - 2)*(h + 3)/5
Let c(z) = z**3 - 9*z**2 + 7*z + 11. Let v be c(8). Let y be (-142)/(-6)*-3*(v - 4). Factor 36 - 4*m**2 - 9*m**3 + 23*m + 4*m**4 - 4*m**2 + 25*m**3 - y*m.
4*(m - 1)**2*(m + 3)**2
Factor -2/11*v**3 + 18/11*v - 2/11*v**2 + 18/11.
-2*(v - 3)*(v + 1)*(v + 3)/11
Let l(w) = w**3 - 4*w**2 - 5*w + 2. Let v be l(5). Let f(x) = x**2 - 9*x + 10. Let c be f(0). Factor -c + 15 - 10*o**v + 5*o**2.
-5*(o - 1)*(o + 1)
What is w in -288/5 + 16/5*w**2 - 24/5*w + 2/5*w**3 = 0?
-6, 4
Let p = 15390 + -15384. Let i(h) be the second derivative of -1/6*h**p - h - 5/4*h**5 - 10/3*h**4 + 0*h**2 - 27 - 10/3*h**3. What is j in i(j) = 0?
-2, -1, 0
Let k(f) be the third derivative of -f**6/900 + f**5/75 - 43*f**3/3 + 20*f**2. Let w(a) be the first derivative of k(a). Factor w(q).
-2*q*(q - 4)/5
Let z(v) = 2*v**2 - 5*v - 27. Let f(t) = 3*t**2 - 5*t - 28. Suppose 315 = 5*c + 330. Let m(h) = c*f(h) + 2*z(h). Determine s, given that m(s) = 0.
-2, 3
Let z(v) be the third derivative of v**5/15 + 30*v**4 - 362*v**3/3 - 6*v**2 + 20*v. Determine p so that z(p) = 0.
-181, 1
Let n(m) be the third derivative of 0*m - 2/25*m**5 + 0*m**3 - 2 + 13*m**2 + 11/300*m**6 + 1/60*m**4. Find k, given that n(k) = 0.
0, 1/11, 1
Let c = 675 - 672. Let n(g) = 11*g + 3 + 7*g**2 + 2*g**2 + 43*g**3 - 39*g**3. Let s(r) = 4*r**3 + 10*r**2 + 10*r + 2. Let q(o) = c*s(o) - 2*n(o). Factor q(l).
4*l*(l + 1)*(l + 2)
Suppose 5*a - 2 - 30 = 4*u, 2*a - 6 = 5*u. Find f, given that a*f**2 + 7*f - 5*f**2 - 4*f**2 = 0.
0, 7
What is x in 13866*x**4 + 14137*x**4 - 1239*x**3 - 352*x - 2*x**5 + 1234*x**2 - 27644*x**4 = 0?
0, 1/2, 1, 2, 176
Suppose 0 = 4*t - 73 - 67. Suppose -2*q = -t + 9. Factor -16*f + 17*f - f**2 - 11 + q + 0*f**2.
-(f - 2)*(f + 1)
Let o(d) = -14*d - 53. Let s be o(-4). Let w(j) = 2*j**3 - j**2 - 2. Let g be w(2). Factor 4 - g*z**2 + s*z**4 + 3*z**4 - 2*z**4 + 2*z**2.
4*(z - 1)**2*(z + 1)**2
Let -5125*w + 15*w**3 + 518*w**2 - 1710 - 264*w**2 - 234*w**2 = 0. What is w?
-19, -1/3, 18
Suppose -18/5 - 12005/2*v**2 - 294*v = 0. What is v?
-6/245
Determine g, given that -396*g + 1671*g**3 - 3344*g**3 + 1669*g**3 + 80*g**2 = 0.
0, 9, 11
Let u(v) be the second derivative of 3*v**5/20 + 10*v**4 + 77*v**3/2 + 57*v**2 - 16*v - 2. Solve u(x) = 0 for x.
-38, -1
Suppose -3*p - 19 + 31 = 0. Suppose -2*c + c = -p. Factor 11*m**4 - 30*m**2 + 19*m**3 + 72*m + 17*m**c + 330*m**2 + 157*m**3.
4*m*(m + 3)**2*(7*m + 2)
Let k(o) = -3*o**2 + 61*o + 44. Let r be k(21). Let b be -3*1/(-3) - -2. Determine t so that -257 + 277 + b*t**r + 16*t - 7*t**2 = 0.
-1, 5
Let v(g) be the first derivative of 3/11*g**2 + 200 - 56/11*g + 2/33*g**3. Factor v(w).
2*(w - 4)*(w + 7)/11
Suppose -27 = 3*q + k, -19*q - 5*k = -24*q - 45. Let w be (-405)/(-25) + -7 + q. Factor 0*p + 1/5*p**3 + 0 - w*p**4 + 0*p**2.
-p**3*(p - 1)/5
Factor -545*p - 167*p**4 - 300 + 12652*p**3 - 185*p**2 + 172*p**4 - 12587*p**3.
5*(p - 4)*(p + 1)**2*(p + 15)
Let w(a) = -2*a**3 + 200*a**2 - 5198*a + 5006. Let p(r) = -6*r**3 + 599*r**2 - 15593*r + 15021. Let z(s) = 2*p(s) - 7*w(s). Factor z(f).
2*(f - 50)**2*(f - 1)
Suppose -3*y + 28 = -0*y + 4*j, j - 4 = 0. Factor -10*q**y - 5*q**2 - 4*q**2 + 6*q + 13*q**4.
3*q*(q - 1)**2*(q + 2)
Suppose -8*v**5 + 140*v + 240 - 50*v**4 - 2*v**5 - 239*v**2 + 2*v**5 + 79*v**2 - 165*v**3 + 3*v**5 = 0. Calculate v.
-4, -3, -2, 1
Factor -9305*z + 2 + 26410*z - 12419*z + 3659766*z**2 + 952759082*z**3.
2*(781*z + 1)**3
Suppose -3*f + 2*f + 4*m = 0, -2*f = -5*m - 12. Suppose f*i - 25*i + 999 = 0. Find s, given that -8*s**4 + i*s - 4*s**3 + 2*s**4 - 87*s + 18*s**2 + 8 = 0.
-1, -2/3, 2
Let b(u) = 11356*u - 34060. Let f be b(3). Suppose 1/5*y**5 - 20 + 71/5*y**2 + f*y - y**3 - 7/5*y**4 = 0. Calculate y.
-2, 1, 5
Suppose 4*l + 26 = -14. Let r(z) = z**3 + 11*z**2 + 10*z + 2. Let p be r(l). Solve -19*x**4 - 7*x**4 - 12*x**2 - 7*x**5 + 20*x**p - 20*x**3 = 0 for x.
-2, 0, 2/7
Let b be (-7 - -50)*1 - 41. What is z in 98/9*z + 0 + 2/9*z**3 - 28/9*z**b = 0?
0, 7
What is i in -648/5*i + 5184/5 - 108*i**2 - 9/5*i**4 + 138/5*i**3 = 0?
-8/3, 6
Let m(p) be the second derivative of 5*p**4/12 + 25*p**3/3 - 60*p**2 - 179*p + 8. Factor m(y).
5*(y - 2)*(y + 12)
Let m(a) be the first derivative of 32*a + 1/18*a**4 + 20 - 7/3*a**2 - 2/3*a**3. Let f(x) be the first derivative of m(x). Factor f(p).
2*(p - 7)*(p + 1)/3
Let a be 17 + (-35*(-147)/(-140) - -20). Factor 55/2*q + a*q**2 + 3025/4.
(q + 55)**2/4
Let 31442*w + 31*w**3 + 348*w**2 - 31582*w - 206*w**4 - 3*w**5 + 254*w**3 = 0. Calculate w.
-70, -1, 0, 1/3, 2
Let f(b) be the first derivative of -2*b**6/3 + 32*b**5/5 - 24*b**4 + 136*b**3/3 - 46*b**2 + 24*b + 1113. Solve f(q) = 0.
1, 2, 3
Suppose -3*c**4 - 48/7*c + 3/7*c**5 - 15/7*c**2 + 36/7 + 45/7*c**3 = 0. What is c?
-1, 1, 2, 3
Let f(b) = 91*b**2 + 19295*b + 1342. Let n(d) = -555*d**2 - 115770*d - 8050. Let q(w) = 35*f(w) + 6*n(w). Factor q(z).
-5*(z + 133)*(29*z + 2)
Solve 462*m**2 - 25*m - 422*m**2 - 5*m**3 - 109 - 141 = 0.
-2, 5
Let l = -166 + 169. Let d = -2 + 7. Factor -3*i**4 + i + 4*i**d - 2*i**3 - l*i**5 - 3*i**2 + 5*i**2 + 4*i**2 - 3.
(i - 3)*(i - 1)**2*(i + 1)**2
Let c be (5 + -40)*-4*2/20. Factor 12*r - 2*r**2 - c*r - 1 - 4*r**3 + 3*r**4 + 6*r.
(r - 1)**2*(r + 1)*(3*r - 1)
Let w = 161009 - 161009. Let w + 2/3*q**2 + 38/3*q = 0. Calculate q.
-19, 0
Let b(w) be the third derivative of -w**7/735 + w**6/210 + 2*w**5/105 - w**4/42 - w**3/7 - 1143*w**2 - 1. Find f such that b(f) = 0.
-1, 1, 3
Let n(b) be the second derivative of -3*b**5/40 - 11*b**4/4 - 19*b**3 - 54*b**2 + b + 48. Factor n(r).
-3*(r + 2)**2*(r + 18)/2
Let c(x) = -x**3 + 19*x**2. Let b be c(19). Suppose -4*n + 3*n + 5 = b. Suppose 2*g**2 - 53*g + 1 + 28*g - n + 27*g = 0. What is g?
-2, 1
Let v be (-847)/(-605) + (216/140)/(-6). Determine y so that -8/7 - 2/7*y**2 - v*y = 0.
-2
Determine t, given that -812*t**3 + 4416*t + 2736 - 597*t**4 + 546*t**2 - 578*t**4 + 202*t**2 - 4*t**5 + 1791*t**4 - 500*t**4 = 0.
-1, 6, 19
Suppose 2257 - 9772 = -1672*b - 833*b. Let 2 + 2*l**4 - 22/3*l - 20/3*l**b - 2/9*l**5 + 92/9*l**2 = 0. Calculate l.
1, 3
Let c(i) be the second derivative of -i**6/10 - 51*i**5/20 + 57*i**4/4 - 59*i**3/2 + 30*i**2 + 1106*i + 2. Determine h, given that c(h) = 0.
-20, 1
Let a(c) be the first derivative of 0*c**2 - 1/20*c**5 - 16/3*c**3 + 17 + 0*c - 1/80*c**6 - 1/16*c**4. Let o(z) be the third derivative of a(z). Factor o(g).
-3*(g + 1)*(3*g + 1)/2
Let k = 15439 + -15433. Let t(r) be the first derivative of 0*r - k*r**4 - 5*r**3 + 3 - 3/2*r**2 - 12/5*r**5. Factor t(m).
-3*m*(m + 1)*(2*m + 1)**2
Let c(f) be the second derivative of -f**7/5040 + f**5/240 - 31*f**4/6 - 5*f - 8. Let v(q) be the third derivative of c(q). Let v(a) = 0. What is a?
-1, 1
Let f(r) be the second derivative of r**9/756 - r**7/30 - r**6/15 + 139*r**3/6 - 5*r + 8. Let o(b) be the second derivative of f(b). Factor o(s).
4*s**2*(s - 3)*(s + 1)*(s + 2)
Let w be ((-270)/(-720))/(81/12). Let h(a) be the first derivative of 7/6*a - 1/2*a**2 - w*a**3 - 22. Factor h(k).
-(k - 1)*(k + 7)/6
Let s(b) be the first derivative of b**5/25 - 7*b**4/20 + 2*b**3/15 + 32*b**2/5 - 96*b/5 - 671. Factor s(a).
(a - 4)**2*(a - 2)*(a + 3)/5
Factor -295*j + 12*j**3 + 12*j**2 - 71*j + 45 + 24*j**2 + 129*j**2 + 144.
