(t) = 4*g(t) + n(t). Factor h(o).
2*(o - 21)*(3*o - 2)
Let r(v) be the first derivative of 2*v**5/3 - 2*v**4 + 8*v**3/9 - 49. What is n in r(n) = 0?
0, 2/5, 2
Let d(j) be the second derivative of 1/50*j**5 + 0 + 1/5*j**4 - 10*j + 3/5*j**3 + 4/5*j**2. Factor d(k).
2*(k + 1)**2*(k + 4)/5
Let g(d) be the first derivative of d**7/840 - d**5/30 - 35*d**3/3 - d - 30. Let q(i) be the third derivative of g(i). Factor q(j).
j*(j - 2)*(j + 2)
Solve 3/4*u**2 - 39*u - 159/4 = 0.
-1, 53
Let v(m) be the first derivative of -16 + 0*m - 1/2*m**4 - 14/15*m**3 - 2/5*m**2. Factor v(t).
-2*t*(t + 1)*(5*t + 2)/5
Let t = 20997/2 - 10498. Factor -3/2*d**3 + 0 + t*d**4 + 0*d**2 + 2*d.
d*(d - 2)**2*(d + 1)/2
Suppose 0 = 6*o - 0*o - 6. Let v be (50/26 - 2)/(o/(-2)). What is d in v*d + 0 + 2/13*d**3 + 4/13*d**2 = 0?
-1, 0
Let q(k) = -k**2 - 9*k. Let c be (-9)/4*(-40)/15. Let o(x) = -7*x - c*x + 14*x. Let t(a) = -18*o(a) - 2*q(a). Factor t(f).
2*f**2
Let x be 2/(-10) + 1963/65. Suppose -m = 4*m - x. Factor 3 - m*q**3 - 1 - 3 - 3 - 14*q - 16*q**2.
-2*(q + 1)**2*(3*q + 2)
Let z be 53/(-258)*(8/(-6) - 1). Let j = -3/86 + z. Suppose -2/9*v**4 + 4/9*v + 2/9 + 0*v**2 - j*v**3 = 0. Calculate v.
-1, 1
Let x(q) be the second derivative of q**5/15 - 2*q**4 + 24*q**3 - 23*q**2/2 - 14*q. Let k(o) be the first derivative of x(o). Factor k(g).
4*(g - 6)**2
Let b(g) = 39*g**2 + 6*g + 24. Let z(n) = -n**2 - 2. Let v(p) = -b(p) - 12*z(p). Solve v(x) = 0 for x.
-2/9, 0
Suppose 0*j = -2*j + 32. Let k be j/3 + 1/(-3). What is u in -3*u**2 + 5*u**2 - k + 5 = 0?
0
Let n(i) be the first derivative of -3*i**5/50 - i**4/10 - i**3/15 - 7*i**2/2 - i + 31. Let w(d) be the second derivative of n(d). Factor w(u).
-2*(3*u + 1)**2/5
Let o be ((-21)/(-14))/((-2)/(60/(-9))). Suppose o*t - 2 + 5 = 3*i, -4*t - 3*i = -3. Factor -9/5*m**3 + 0*m + t - 3/5*m**2.
-3*m**2*(3*m + 1)/5
Let m(a) be the second derivative of -5*a**4/12 + 30*a**3 - 175*a**2/2 + 94*a. Find p, given that m(p) = 0.
1, 35
Let 400*i + 0 + 0 - 128*i**3 + 520*i**2 + 6*i**4 + 12*i**3 = 0. What is i?
-2/3, 0, 10
Factor 291*j**2 - 148*j - 92*j + 92 - 4*j**4 - 139*j**2 - 16*j**3 + 16.
-4*(j - 3)*(j - 1)**2*(j + 9)
Let f(y) = -y**4 - 4*y**3 - 6*y**2 - 3*y - 2. Let l(p) = -p + 1. Let u(r) = -r**3 + 8*r**2 - 9*r + 13. Let g be u(7). Let q(t) = g*f(t) - l(t). Factor q(k).
(k + 1)**4
Let c = -84 - -89. Suppose -9*d + 18 = -4*d + z, c*d + 2*z = 21. Factor 3*i**4 + 0 + 1/3*i**2 + 2*i**d + 0*i + 4/3*i**5.
i**2*(i + 1)**2*(4*i + 1)/3
Let d = 16169/5 - 32333/10. Factor -72 - 12*t - d*t**2.
-(t + 12)**2/2
Let j(i) be the third derivative of -i**7/105 - i**6/5 - i**5 - 7*i**4/3 - 3*i**3 + 22*i**2. Solve j(w) = 0 for w.
-9, -1
Let x be (-936)/(-2106)*(-6)/(-20). Determine t so that x*t**3 - 4/15*t - 2/5*t**4 + 2/5*t**2 + 0 + 2/15*t**5 = 0.
-1, 0, 1, 2
Let u be (26/8 - 4) + 90/24. Let k(q) be the second derivative of -1/21*q**u + 0*q**5 + 6*q + 2/105*q**6 + 0 - 1/21*q**4 + 0*q**2 + 1/147*q**7. Factor k(i).
2*i*(i - 1)*(i + 1)**3/7
Suppose 0 = 36*m + 2 - 74. Let p(r) be the second derivative of 0 + 1/2*r**3 + 1/4*r**4 - 3*r**m - 8*r. Factor p(n).
3*(n - 1)*(n + 2)
Let m(g) be the first derivative of 4/7*g**3 + 8/7*g**2 - 16/7*g - 4/35*g**5 + 6 - 2/7*g**4. What is a in m(a) = 0?
-2, 1
Let g = -693 - -693. Let d(a) be the first derivative of 0*a - 7 - 2/3*a**2 + 1/3*a**4 + g*a**3. Find u such that d(u) = 0.
-1, 0, 1
Let m = -1965/11 - -179. Let n = -73 - -75. Let 2/11*r - 2/11*r**n + m = 0. What is r?
-1, 2
Let 1/6*i**3 - 12 - 7/3*i**2 + 10*i = 0. Calculate i.
2, 6
Suppose 20 = 3*p + 5*o + 62, -4*p = -4*o + 24. Let y be (7 - 8) + (-15)/p. Factor 4/3*a - y - 2/3*a**2.
-2*(a - 1)**2/3
Let a(f) be the third derivative of 0*f - 1/60*f**5 - 11*f**2 - 1/24*f**4 + 1/120*f**6 + 0*f**3 + 0 + 1/210*f**7. Suppose a(z) = 0. Calculate z.
-1, 0, 1
Let u = 115 - 114. Let i be u + 20/16*6/(-15). Factor -1/2 - i*a**3 - 3/2*a - 3/2*a**2.
-(a + 1)**3/2
Let y(z) be the first derivative of 16*z**5/5 + 5*z**4 - 188*z**3/3 - 24*z**2 + 129. Suppose y(x) = 0. Calculate x.
-4, -1/4, 0, 3
Let w = 39 + -55. Let h be 40/(-15)*12/w. Solve 1/5*z**3 - 1/5*z**4 + 1/5*z**h - 1/5*z + 0 = 0.
-1, 0, 1
Let u be ((-18)/10)/((-249)/415). Let b(t) be the second derivative of 13*t - 1/42*t**4 + 0 - 1/7*t**u + 0*t**2. Factor b(s).
-2*s*(s + 3)/7
Solve -i**3 + 47/6*i**2 - 1/6*i**4 - 14*i + 22/3 = 0.
-11, 1, 2
Let c(k) = -2*k + 20. Let l be c(5). Let s be (-2 - (-27)/12)*l/15. Factor s*r**3 - 1/6*r**2 + 0*r + 0.
r**2*(r - 1)/6
Let b(d) be the third derivative of d**8/840 + 2*d**7/525 - d**6/150 - 4*d**5/75 - 7*d**4/60 - 2*d**3/15 - 2*d**2 + 61. Factor b(u).
2*(u - 2)*(u + 1)**4/5
Let d(b) = b**2 + 16*b. Let t(q) = 2*q**2 + 16*q. Let a(p) = -3*d(p) + 2*t(p). Find o such that a(o) = 0.
0, 16
Let f(p) be the third derivative of p**6/300 - p**4/60 + 69*p**2. Factor f(w).
2*w*(w - 1)*(w + 1)/5
Solve 60*b - 295*b - 2 + 65008*b**2 - 65241*b**2 = 0 for b.
-1, -2/233
Let b(a) be the first derivative of a - 11. Let v(r) = -2*r**2 - 8*r - 12. Let z(y) = -4*b(y) - v(y). Factor z(m).
2*(m + 2)**2
Let p = 3233/2 + -1650. Let f = p - -143/4. Determine v so that 0 - f*v**3 - 2*v**4 + v + 2*v**2 + 5/4*v**5 = 0.
-1, -2/5, 0, 1, 2
Suppose -2*i + 8 = k, -5*k = i - 4 - 0. Let d(v) be the second derivative of 1/5*v**5 + 6*v + 2*v**2 + k + 2*v**3 + v**4. Factor d(p).
4*(p + 1)**3
Suppose -l = 4*b + 7, 5*l - 13 = -4*b - 0*b. Let v be l + -3 - (-4)/((-40)/15). Factor v*k**3 + 0*k**2 + 1/2*k**5 + 0*k + k**4 + 0.
k**3*(k + 1)**2/2
Let z be 8 + -3*(-5)/(-5). Factor -88*q**5 - q**2 + q**2 - 5*q**3 + 93*q**z.
5*q**3*(q - 1)*(q + 1)
Let u(o) be the first derivative of 0*o**2 + 15 - 1/2*o**3 + 0*o - 3/16*o**4. Factor u(g).
-3*g**2*(g + 2)/4
Let h be (-1 - -3)/(-3 + 5). Suppose 4*b = h + 7. Suppose 3/2 - 3/2*m**b - 3/4*m + 3/4*m**3 = 0. What is m?
-1, 1, 2
Suppose 0 = -2794*o + 2780*o. Let f(m) be the first derivative of 0*m**2 + o*m**4 + 1/15*m**5 - 9 - 1/9*m**3 + 0*m. Solve f(w) = 0.
-1, 0, 1
Let q(m) be the first derivative of -m**3/15 + m**2/5 + 3*m - 353. Let q(w) = 0. Calculate w.
-3, 5
Suppose -5*g - n + 12 = 0, 3*g - 30*n - 24 = -25*n. Factor -1/3*s**g - 3*s - 2*s**2 - 4/3.
-(s + 1)**2*(s + 4)/3
Let g be 1 + (-6 - -5)/(-1). Suppose -4*q - 4*o + 16 = 0, -g*q + 7*q - 2*o + 8 = 0. Factor q*u + 0 + 6/7*u**2 - 2/7*u**3.
-2*u**2*(u - 3)/7
Let t = 516 - 808. Let c = 294 + t. Factor 4/7*k - 6/7 + 2/7*k**c.
2*(k - 1)*(k + 3)/7
Suppose 2*t - 4*b - 6 = -0*t, -t + 13 = 3*b. Suppose t*g = -11*g + 36. Factor -2*h**g + 0 + 2/3*h**3 + 0*h.
2*h**2*(h - 3)/3
Let s(k) be the first derivative of -4*k**3/27 - 74*k**2/9 - 1041. Solve s(w) = 0 for w.
-37, 0
Suppose k = 7*k - 2*k. Let w = k + 3/5. Factor -3/5 + w*n**2 + 0*n.
3*(n - 1)*(n + 1)/5
Let s(t) = t**2 - 3*t - 15. Let i be s(6). Factor j**i - j**4 - j + 2*j**4 - 4*j**3 + 14*j**2 - 11*j**2.
j*(j - 1)**3
Let b(n) be the first derivative of -1/4*n**4 + 0*n**3 - 6 + 1/10*n**5 - 1/2*n + 1/2*n**2. Solve b(k) = 0.
-1, 1
Let x be ((-886)/5316)/((-3)/((-1)/(4/(-18)))). Suppose v - 1/2*v**3 - 3/4*v**2 + 1 + x*v**4 = 0. Calculate v.
-1, 2
Suppose 37*r + 2 = 36*r. Let u(b) = 6*b**2 - 2. Let m(h) = h**2 - h - 1. Let p(s) = r*m(s) + u(s). Solve p(q) = 0.
-1/2, 0
Let a(m) = m**3 + 18*m**2 + 4*m + 72. Let r be a(-18). Let p(z) be the third derivative of 0*z + r*z**3 - 1/180*z**5 - 1/72*z**4 - 10*z**2 + 0. Factor p(l).
-l*(l + 1)/3
Let x(b) = -32*b**2 + 260*b. Let u(q) = -13*q**2 + 104*q. Let g(n) = -12*u(n) + 5*x(n). Factor g(f).
-4*f*(f - 13)
Let n = 166 - 118. Factor 11*r**3 - 5*r**5 + 2*r**5 + 13*r**3 - n*r.
-3*r*(r - 2)**2*(r + 2)**2
Let x(g) = g**2 - 62*g + 432. Let o be x(54). Let l(f) be the second derivative of 1/8*f**4 + 5*f + 0 + o*f**2 + 1/8*f**3 + 3/80*f**5. Factor l(a).
3*a*(a + 1)**2/4
Factor 1/5*c**4 - 1/5*c + 3/5*c**2 - 3/5*c**3 + 0.
c*(c - 1)**3/5
Let p(c) = c**3 + 12*c**2 - c - 7. Let d be p(-12). Let h = d - 3. Factor 28*b**3 - 4*b**4 + 36*b + 34*b**h + 0*b**4 - 94*b**2.
-4*b*(b - 3)**2*(b - 1)
Let s(f) = -5*f**3 + 19*f**2 - 13*f + 2. Let k(j) = 5*j**2 + 6. Let r(d) = -d**2 - 1. Let z(m) = k(m) + 6*r(m). Let n(l) = -2*s(l) - 6*z(l). Factor n(g).
2*(g - 2)*(g - 1)*(5*g - 1)
Let m(q) = -9*q**2 - 5*q + 11. Let c(j) = -19 - 212*j**2 - 15 + 14*j + 238*j**2. Let d(g) = -5*c(g) - 14*m(g). Factor