23*m.
-2*m*(m - 31)/23
Let m be (-21)/(-3) + -2 + -2. Factor -9 + 9*f**2 - 343*f + 3*f**m + 173*f + 167*f.
3*(f - 1)*(f + 1)*(f + 3)
Let w = -8719 + 8721. Factor -32/5*x + 128/5 + 2/5*x**w.
2*(x - 8)**2/5
Let r(i) = 21*i - 2223. Let k be r(106). Factor 2/15*g - 2/15*g**k + 8/15 - 8/15*g**2.
-2*(g - 1)*(g + 1)*(g + 4)/15
Let b(k) be the second derivative of k**7/420 - 7*k**5/60 - k**4/2 + k**3/3 - 32*k. Let t(z) be the second derivative of b(z). Determine q so that t(q) = 0.
-2, -1, 3
Let h(u) be the first derivative of u**9/1512 - u**8/420 + u**6/90 - u**5/60 + 8*u**3/3 + 12. Let o(s) be the third derivative of h(s). Solve o(z) = 0 for z.
-1, 0, 1
Let x(a) be the third derivative of -a**5/360 + a**4/72 - a**3/36 - 200*a**2. Factor x(k).
-(k - 1)**2/6
Let l(y) be the first derivative of -5*y**6/18 - 2*y**5 - 65*y**4/12 - 20*y**3/3 - 10*y**2/3 - 46. What is s in l(s) = 0?
-2, -1, 0
Let v(l) be the second derivative of -1/17*l**3 + 3/170*l**5 + 11*l + 0 - 2/17*l**2 + 1/102*l**4 + 1/255*l**6. Solve v(i) = 0.
-2, -1, 1
Let j be (-1)/21*-3 + (-3)/21. Let l = j + 2. Determine q, given that -1/3 + l*q**3 - 23/6*q**2 + 13/6*q = 0.
1/4, 2/3, 1
Let l(w) be the second derivative of -11*w**7/21 - 8*w**6/5 - 3*w**5/2 - w**4/3 + w - 44. Let l(m) = 0. What is m?
-1, -2/11, 0
Let r = 55 + -67. Let x be (-30)/r*5/((-175)/(-4)). Solve 2/7*q**2 - 1/7*q - x*q**4 + 0 + 1/7*q**3 = 0 for q.
-1, 0, 1/2, 1
Let r(y) be the third derivative of -y**7/42 + 5*y**6/24 - 7*y**5/12 + 5*y**4/8 - 116*y**2. What is p in r(p) = 0?
0, 1, 3
Let l(h) be the third derivative of h**6/360 - h**5/60 - 2*h**4/9 - 2*h**3/3 + 19*h**2. Factor l(d).
(d - 6)*(d + 1)*(d + 2)/3
Let h = -127 - -130. Factor g**2 + 0 - 1/4*g**h + 5/4*g.
-g*(g - 5)*(g + 1)/4
Suppose 469*g + 461*g = 932*g. Find a, given that -3*a**2 + g - 9/2*a**3 + 0*a - 3/2*a**4 = 0.
-2, -1, 0
Factor 0*u**2 + 1615 - u**2 - 3215 - 1320 - 154*u - 3009.
-(u + 77)**2
Let b = -372 - -376. Let p(z) be the third derivative of 0*z**b + 0*z + 0*z**3 + 14*z**2 + 0 - 1/45*z**5. Factor p(u).
-4*u**2/3
Let q(l) be the second derivative of -2*l**6/5 - 39*l**5/100 + 39*l**4/10 + 26*l**3/5 + 12*l**2/5 - 122*l - 2. Let q(f) = 0. Calculate f.
-2, -2/5, -1/4, 2
Let z(s) = -s**3 - 8*s**2 - 14*s + 11. Let u be z(-5). Let x(w) be the first derivative of 8*w + 6 + 2*w**3 + u*w**2 + 1/4*w**4. Suppose x(p) = 0. Calculate p.
-2
Let x(a) be the third derivative of -a**8/84 - a**7/70 + 37*a**6/120 - 53*a**5/60 + 9*a**4/8 - 2*a**3/3 - 2*a**2 + 2*a. Solve x(v) = 0 for v.
-4, 1/4, 1
What is w in -1/2*w + 7*w**2 - w**5 + 23/4*w**4 - 21/2*w**3 - 3/4 = 0?
-1/4, 1, 3
Factor -1/3*v + 1/3*v**3 - 2/3*v**2 + 1/2 + 1/6*v**4.
(v - 1)**2*(v + 1)*(v + 3)/6
Let c be (-1 + 2)*(-14)/(-14). Suppose -2*z + c + 3 = 0. Factor -7*v**2 + 5 + 2*v**z - 35*v + 35*v.
-5*(v - 1)*(v + 1)
Let o(b) = -3*b**4 - 5*b**3 + 7*b**2 + 5*b + 2. Let m(r) = 6*r**4 + 12*r**3 - 13*r**2 - 8*r - 4. Let s(u) = 2*m(u) + 5*o(u). Factor s(l).
-(l - 2)*(l + 1)**2*(3*l + 1)
Let m(i) be the first derivative of -i**4/16 + i**3/4 - i**2/4 - 218. Determine a, given that m(a) = 0.
0, 1, 2
Let d(v) be the third derivative of v**8/168 + 4*v**7/15 + 53*v**6/12 + 499*v**5/15 + 407*v**4/3 + 968*v**3/3 - 443*v**2. Let d(a) = 0. Calculate a.
-11, -2
Suppose 14*r**2 - 24*r - 5*r**2 - 24*r - 7*r**2 + 4*r**3 - 6*r**2 = 0. Calculate r.
-3, 0, 4
Let d(u) be the third derivative of u**8/112 + 17*u**7/70 + 12*u**6/5 + 9*u**5 - 236*u**2. Determine s, given that d(s) = 0.
-6, -5, 0
Let y = -17146/99 - -1910/11. Factor -2/3*q + 2/9*q**2 + 2/3*q**3 + 2/9*q**4 - y.
2*(q - 1)*(q + 1)**2*(q + 2)/9
Let c = -35 - -39. Let t(g) = g**4 - 1. Let b(m) = 9*m**4 + 5*m**3 - 40*m**2 - 60*m - 4. Let y(k) = c*t(k) - b(k). Let y(x) = 0. What is x?
-2, 0, 3
Let g(c) be the first derivative of 0*c + 3/2*c**2 + 2/3*c**3 + 5 + 1/30*c**5 - 11/36*c**4. Let z(u) be the second derivative of g(u). Factor z(y).
2*(y - 3)*(3*y - 2)/3
Let v(u) be the second derivative of u**6/320 - 35*u**2/2 + 3*u + 1. Let p(y) be the first derivative of v(y). Solve p(l) = 0.
0
Let p be (-91)/(-5)*((-6)/9)/2. Let a = p - -47/5. Find f such that -4/3 - a*f + 3/2*f**3 - f**2 = 0.
-2/3, 2
Let j(x) = -x**3 + 23*x**2 + 97*x + 175. Let d(f) = 5*f**3 - 95*f**2 - 389*f - 700. Let m(q) = 4*d(q) + 18*j(q). Factor m(w).
2*(w + 5)**2*(w + 7)
Let z(v) be the second derivative of -v**4/30 - 2*v**3/5 + 7*v**2/5 - 129*v + 4. Factor z(d).
-2*(d - 1)*(d + 7)/5
Suppose -8*k = -3*k - 15. Suppose -4*l + 4 = 0, 5*z - 2*l = k*z + 2. Determine m so that 0*m - 8*m + z*m + m**2 + 2*m + 4 = 0.
2
Suppose -p = 3*a - 21, -5*p + p = a - 139. Suppose 0 = -4*f + 4*v + p, -3*f - f - 3*v = -50. Let 25*y**2 + 3*y**3 - f*y - 9*y**3 + y - 4*y**3 = 0. What is y?
0, 1/2, 2
Let w = 32 - 19. Suppose -8*f + w*f - 20 = 0. Let 0*b**3 + b**4 - 3*b**3 - 3*b**2 - 2*b**f + 3*b - 4*b = 0. Calculate b.
-1, 0
Suppose 150 + 1/6*d**2 - 10*d = 0. Calculate d.
30
Suppose -3*g + 2 = -d, 115*d - 28 = 111*d. Factor 0 + 0*x + 0*x**2 + 2*x**g - 2/3*x**4.
-2*x**3*(x - 3)/3
Let t(w) = w**2 + 5*w - 3. Let u(v) = -v**2 - 4*v + 3. Suppose q - 7 = 5*d + 4, 3*d + q + 13 = 0. Let l(a) = d*u(a) - 2*t(a). Factor l(c).
(c - 1)*(c + 3)
Let k be -8*((-26)/(-16) - 2). Let x(s) be the second derivative of -1/10*s**6 + 0*s**2 + 3/10*s**5 - 1/4*s**4 + 0*s**k + 4*s + 0. Factor x(c).
-3*c**2*(c - 1)**2
Let q(h) = 21*h - 1132. Let a be q(54). Let 1/11*k - 2/11*k**3 + 1/11*k**5 + 1/11 - 2/11*k**a + 1/11*k**4 = 0. What is k?
-1, 1
Let n = 2 - -2. Suppose 5*y - h = -0*h + 30, -n*y + 2*h + 30 = 0. Factor 0*v**4 + 4*v**3 + y*v + 6*v**3 - 8*v**2 + 6*v**4 - 13*v.
2*v*(v - 1)*(v + 2)*(3*v + 2)
Suppose -3 = 4*h + 3*a - 11, h + 5*a - 2 = 0. Determine y so that 19*y - 2 + 8 + 14*y**2 + h - 51*y = 0.
2/7, 2
Let -5*q**5 - 19*q**4 - 922*q**2 - 81*q**3 + 895*q**2 - 10*q**5 - 50*q**4 = 0. What is q?
-3, -1, -3/5, 0
Factor -191*l + 155*l - 12*l**2 + 20*l**3 + 16 - 4*l**4 - 16.
-4*l*(l - 3)**2*(l + 1)
Let t = -462 + 925/2. Suppose -4*l**2 + 1 - t*l - 5/2*l**3 = 0. Calculate l.
-1, 2/5
Factor 5/3*y**3 - 3*y**2 + 7/3*y - 2/3 - 1/3*y**4.
-(y - 2)*(y - 1)**3/3
Let y(s) = 17*s - 1. Let v be y(3). Suppose -9*d + 4*d + v = 0. Find k, given that -d*k**2 + 8 + 31*k**2 + 28*k**2 - 7*k**2 - 40*k = 0.
2/7, 2/3
Let w be 10/45 + 16/90 + 19/15. What is g in w*g**2 - 1/3*g**3 + 2*g + 0 = 0?
-1, 0, 6
Let y(k) be the third derivative of 0*k**3 + 1/20*k**5 + 0*k**4 + 3/70*k**7 + 1/112*k**8 + 0*k + 0 + 3/40*k**6 - 8*k**2. What is t in y(t) = 0?
-1, 0
Let w = -127/285 - -11/19. Factor 0 + w*u**3 + 0*u**2 + 0*u.
2*u**3/15
Let d(u) = 3*u**2 - 7*u + 7. Let g(t) = t**2 - 3*t + 3. Let y(h) = 3*d(h) - 7*g(h). Let y(z) = 0. Calculate z.
0
Let c(t) = 4*t**2 - 35*t - 6. Let g be c(9). Suppose 3*n - 2*b = 12, 10 + 10 = 5*n + 3*b. Solve -1/4*x**n + 1/4*x - 3/4*x**2 + 3/4*x**g + 0 = 0.
0, 1
Suppose 5*y - f = 50 + 1, 2*y = -3*f + 17. Suppose y*j = -5*j. Determine v so that 0*v - 8/7*v**4 - 8/7*v**5 + 0 + j*v**2 - 2/7*v**3 = 0.
-1/2, 0
Factor 5*a**3 - 54*a**2 + 3*a**5 - a**3 - 14*a**3 - 24*a - 23*a**3.
3*a*(a - 4)*(a + 1)**2*(a + 2)
Let s(r) be the first derivative of -r**3/3 - 50*r**2 - 2500*r - 27. Solve s(f) = 0.
-50
Let n(s) = -4*s**4 + 24*s**2 + 106*s + 90. Let m(k) = 2*k**3 - k - 1. Let v(p) = -6*m(p) + n(p). What is c in v(c) = 0?
-2, 3
Let c(v) be the second derivative of -v**4/36 - 53*v**3/9 - 2809*v**2/6 - 120*v. Factor c(z).
-(z + 53)**2/3
Let a(s) = -s**2 + 2*s + 6. Let t be a(3). Let 2*f + 36*f**2 - 24*f + 8*f - 14*f + 8 - 20*f**t + 4*f**4 = 0. What is f?
1, 2
Let a(z) be the second derivative of -z**5/20 + 5*z**3/6 + 5*z**2/2 - 15*z. Let x be a(-2). Factor 0*j + 0*j**x - 2/3*j**4 + 2/3*j**2 + 0.
-2*j**2*(j - 1)*(j + 1)/3
Suppose -3*a + 29 + 52 = 0. Let y be ((-6)/a)/(1/(-3)). Solve 0 - 26/3*i**4 + y*i**2 + 10/3*i**5 + 6*i**3 - 4/3*i = 0 for i.
-2/5, 0, 1
Let s(m) = 35*m**2 - 8520*m + 302460. Let h(l) = 3*l**2 - 710*l + 25205. Let g(u) = 25*h(u) - 2*s(u). Factor g(r).
5*(r - 71)**2
Let o(h) = -6*h**2 + 16*h - 18. Suppose -3*t + 3*d - 2 = 4, -5*d = t + 20. Let f(r) = 4*r**2 - 11*r + 12. Let q(u) = t*o(u) - 8*f(u). Factor q(y).
-2*(y - 3)*(y - 1)
Let k = -10771/9 + 1197. Let o(j) be the first derivative of -1/3*j**4 + 2/3*j - 4/15*j**5 + 5/6*j**2 - 1/18*j**6 + 2 + k*j**3. Let o(f) = 0. Calcul