 - 7)/9
Let f(n) be the third derivative of 4/39*n**6 + 1 + 16*n**2 + 3/13*n**4 - 5/39*n**3 + 0*n + 1/546*n**8 - 41/195*n**5 - 11/455*n**7. Solve f(t) = 0.
1/4, 1, 5
Let m(u) be the third derivative of -1/15*u**4 + 2/525*u**7 + 0 + 1/15*u**5 + 0*u**3 - 128*u**2 - 2/75*u**6 + 0*u. Factor m(k).
4*k*(k - 2)*(k - 1)**2/5
Solve -287*w**3 + 37*w**2 + 329 + 28*w - 5*w**4 + w**5 - 361 + 258*w**3 = 0.
-4, -1, 1, 8
Let d(b) = -76*b + 117. Let z(c) = 76*c - 130. Let v(r) = 4*d(r) + 3*z(r). Let o be v(1). Factor 104/3*l + 32/3 - 28/3*l**o.
-4*(l - 4)*(7*l + 2)/3
Solve -2/3*c**4 + 0 - 8*c**3 - 70/3*c**2 + 0*c = 0.
-7, -5, 0
Let a(j) be the third derivative of j**5/30 - 29*j**4/12 + 154*j**3/3 - 4361*j**2. Factor a(k).
2*(k - 22)*(k - 7)
Let d(i) = -38*i**3 - 256*i**2 - 42*i + 176. Let j(w) = 12*w**3 + 84*w**2 + 13*w - 59. Let t(m) = 5*d(m) + 16*j(m). Factor t(a).
2*(a - 1)*(a + 1)*(a + 32)
Let b be 3/(-9)*(-462)/(-49)*-7. Factor -90*k**3 + 48*k**2 + b*k**2 - 210*k**3 - 3*k - 10*k**2.
-3*k*(10*k - 1)**2
Factor -29/2*h**2 + 3/2*h**3 + 22 - 24*h.
(h - 11)*(h + 2)*(3*h - 2)/2
Let b(h) = -6*h**4 + 106*h**3 - 872*h**2 + 1730*h. Let a(m) = -7*m**4 + 105*m**3 - 876*m**2 + 1731*m. Let s(p) = -2*a(p) + 3*b(p). Solve s(j) = 0 for j.
0, 3, 12
Let d = -26647/7 + 3807. Let w(n) be the second derivative of -8/7*n**3 + d*n**4 + 13*n + 0 - 1/35*n**5 + 16/7*n**2. What is t in w(t) = 0?
2
Let m(z) be the first derivative of z**6/1260 - 8*z**5/105 + 64*z**4/21 + 5*z**3/3 - 3*z**2 - 98. Let u(p) be the third derivative of m(p). Factor u(g).
2*(g - 16)**2/7
Suppose 3*b - 184 = -178. Suppose -5*u - 3*j = 0, 27 = b*u - 3*j + 6. Let -2/11*g**4 + 2/11*g**5 - 4/11*g**2 + 10/11*g - 12/11*g**u + 6/11 = 0. What is g?
-1, 1, 3
Let t be (-18 - -23)*((1 - 1) + -2). Let j be t/5 - (3*-3 - -2). Let c(f) = -3*f**4 - 6*f**3 - 5. Let x(h) = h**4 + 1. Let m(u) = j*x(u) + c(u). Factor m(s).
2*s**3*(s - 3)
What is q in 633/2 + 786*q**2 + 15/4*q**3 - 4425/4*q = 0?
-211, 2/5, 1
Let n = -4367/14 + 13115/42. What is j in -n*j**3 - 8/3 - 17/3*j - 10/3*j**2 = 0?
-8, -1
Let s = 6084 - 6077. Let g(h) be the third derivative of -1/60*h**6 - 1/6*h**4 + 0 + 0*h - 1/10*h**5 + 0*h**3 - s*h**2. Factor g(z).
-2*z*(z + 1)*(z + 2)
Solve -3348/5*r**2 + 7616/5 - 3776/5*r - 98*r**3 - 2/5*r**4 = 0 for r.
-238, -4, 1
Let i(p) be the second derivative of -25*p**7/147 + p**6/21 + 8*p**5/35 + 2*p**4/21 - 522*p. Find f such that i(f) = 0.
-2/5, 0, 1
Let f be 12/(0 + 1) - (65 - 60). Let s(y) = -10*y**3 + 8*y**2 - 18*y + 8. Let w(u) = -18*u**3 + 17*u**2 - 37*u + 17. Let r(k) = f*s(k) - 4*w(k). Factor r(j).
2*(j - 3)*(j - 2)*(j - 1)
Let g = 190/6009 + 5278/2003. Solve 32/3*f + 0*f**2 - g*f**3 - 2/3*f**4 + 32/3 = 0 for f.
-2, 2
Let k = 183 - 204. Let t be (0 - 2)/(k/14). Factor -t*x**2 + 32/3*x - 64/3.
-4*(x - 4)**2/3
Suppose 0*x = 3*x - 15. Suppose 69 = x*k + 2*b, -b + 72 = k + 4*k. Let 60*j**2 - 212 + 55*j**4 + 110*j**3 + 15*j**5 + 202 + k*j**4 - 5*j = 0. Calculate j.
-2, -1, 1/3
Suppose 8*d - 155 = -51. Suppose 12*w + 2 = d*w. Suppose -2*l**2 + 2*l**2 + 0*l**3 + 2*l**3 - 4*l**w + 2*l = 0. Calculate l.
0, 1
Let a(u) be the third derivative of u**6/40 - 3*u**5/20 - 11*u**4 + 90*u**3 + 4*u**2 - 43*u. Factor a(q).
3*(q - 10)*(q - 2)*(q + 9)
Let b(z) = z**3 - 3*z**2 - 4*z + 6. Let d be b(4). Let y = 15 - 13. Factor 4*h**2 - 14*h**y + 11*h**4 + 5 - d*h**4.
5*(h - 1)**2*(h + 1)**2
Let v(d) = -11*d**2 + 20*d + 6. Let u be v(2). Let o(l) be the first derivative of -2/5*l + 2/15*l**3 + 40 - 1/5*l**u + 1/10*l**4. Factor o(b).
2*(b - 1)*(b + 1)**2/5
Let z = 79 + -55. Suppose -38*u + z*u = 31*u. Factor 2/7*b**4 + u + 6/7*b**3 + 6/7*b**2 + 2/7*b.
2*b*(b + 1)**3/7
Suppose 0 = -2218*b + 2220*b - 12. Let k be 4 - (b + (-152)/56). Let 0 + 1/7*j**2 - 8/7*j**3 + 2/7*j + k*j**4 = 0. What is j?
-2/5, 0, 1
Find i such that -88*i + 68/3*i**2 + 0 - 4/3*i**3 = 0.
0, 6, 11
Let x = -668 - -670. Determine z so that -36*z - 56*z**x - 1 - 7*z**2 - 3*z**3 + 3*z**2 + 1 + 9*z**4 = 0.
-2, -2/3, 0, 3
Suppose 23*f + 12418 = 191*f - 4214. Find o, given that -3/2*o**3 - f*o**2 - 2178*o - 15972 = 0.
-22
Let y be 14/105*-1*(-17 + 6 + 10). What is k in y*k**2 + 2/15 - 4/15*k = 0?
1
Let k(s) be the third derivative of -s**7/560 - 17*s**6/320 - 77*s**5/160 - 127*s**4/64 - 33*s**3/8 - 5*s**2 + 69. Let k(p) = 0. Calculate p.
-11, -3, -2, -1
Let s(g) = g**3 - 3*g**2 - 6*g + 2. Let y be s(6). Let i be (90/(-20) + 6)*(4 - 2). Factor 6*d**3 + 36 + 71*d**2 - i*d**3 - 24*d - y*d**2.
3*(d - 2)**2*(d + 3)
Let g(b) be the first derivative of -2*b**6/3 + 16*b**5/5 + 25*b**4 - 352*b**3/3 + 120*b**2 - 1806. Let g(a) = 0. What is a?
-5, 0, 1, 2, 6
Let 567009/2 + 1/2*g**2 + 753*g = 0. Calculate g.
-753
Let i(v) = -v**3 - 53*v**2 + 54*v + 4. Let p be i(-54). Suppose f = 3*s - p, 6*f + 27 = 4*s + 9*f. Factor -9/2*t**4 + 0*t + 0 + 3/2*t**5 + 6*t**2 + 0*t**s.
3*t**2*(t - 2)**2*(t + 1)/2
Let a(z) be the first derivative of z**5/30 - 4*z**4/63 + z**3/63 - 51*z - 85. Let w(q) be the first derivative of a(q). Let w(y) = 0. What is y?
0, 1/7, 1
Let d(f) be the first derivative of -32 + 1/210*f**5 + 33*f - 1/21*f**2 + 1/21*f**3 - 1/42*f**4. Let i(c) be the first derivative of d(c). Factor i(n).
2*(n - 1)**3/21
Suppose -30 = 9*q - 24*q. Factor u**4 - 285 + 45*u**2 - 40*u + 237 + 16*u + 24*u**3 + q*u**4.
3*(u - 1)*(u + 1)*(u + 4)**2
Factor 16*p**2 + 0 - 510/7*p - 2/7*p**3.
-2*p*(p - 51)*(p - 5)/7
Let p be ((-804)/8)/(33/(-176)). Let z = p + -533. Find q, given that -z*q**3 + 21/5*q**2 + 0 - 9/5*q + 3/5*q**4 = 0.
0, 1, 3
Suppose -30 = -2*v - 38. Let p be v/(-26) - 21/(-91)*8. Find d, given that -2/3*d**3 + 8/9*d - 2/9*d**4 + 0 + 0*d**p = 0.
-2, 0, 1
Suppose -17*b**2 - 3*b**4 + 53*b**2 - 9*b**2 - 15*b**2 + 8*b - b**5 + 2*b**3 = 0. What is b?
-2, -1, 0, 2
Let 0 - 2/3*y**3 - 400/3*y + 36*y**2 = 0. What is y?
0, 4, 50
Suppose -1254 = -25*l + 6*l. What is k in -k**3 + 4*k**4 + 9*k**5 - 54*k**2 - 36*k - 26*k**3 - l*k**2 + 26*k**4 = 0?
-3, -2, -1/3, 0, 2
Let q(h) = 6*h + 2. Let l be q(0). Suppose 0 = -5*u + m + 11, -l*m + 1 = -2*u - 1. Determine i so that -i**3 + i**3 - u*i**3 - 2*i**3 = 0.
0
Let d(n) = n**3 + 3*n**2 - 5*n - 4. Let w be d(-4). Let s be 12/(-8)*(-20)/15 + w. Factor 14*p**s - 3*p**4 + 2*p**4 + 3*p**3 + 0*p**3 + 5*p - 5*p**2.
-p*(p - 5)*(p + 1)**2
Let i be 8/(-100) - 1530/(-375). Suppose 5*b - i*v - 13 = -v, 2*b + 2*v = 2. Solve -1/3*r**b + 2/3 - 1/3*r = 0.
-2, 1
Let p(d) be the second derivative of -7/2*d**2 + 1/12*d**4 + d**3 + 0 + 140*d. Factor p(f).
(f - 1)*(f + 7)
Let k(u) = -4*u**2 + 17*u - 5. Let v(a) = -a**2. Let h(p) = -k(p) + 3*v(p). Let o be h(17). Factor -3*m**5 - 13*m**4 - 2*m**o + 18*m**4.
-5*m**4*(m - 1)
Let m be 27/12*-4 - 194. Let a be (m/(-49) - 3)/(6/7). Determine c so that a - 2/3*c**2 - 2/3*c = 0.
-2, 1
Let c be -1 + (-15 + 30)/15. Let o(y) be the first derivative of -1/12*y**3 - 16 + 0*y**2 - 1/16*y**4 + c*y. Factor o(h).
-h**2*(h + 1)/4
Let f(w) = w**3 + 9*w**2 - 11*w - 2. Let y be f(-10). Suppose y*n**2 + 22*n - 40 - 24*n - 3*n**2 + 12*n = 0. What is n?
-4, 2
Suppose 26 = w + 2*d - 18, -3*w + d = -132. Factor 15*b**2 - 14*b**2 - 4*b**3 - w*b - 25*b**2 - 143 + 119.
-4*(b + 1)*(b + 2)*(b + 3)
Let l(k) be the third derivative of -k**8/168 - 4*k**7/21 - 23*k**6/20 - 41*k**5/15 - 8*k**4/3 + 95*k**2 - 6. Solve l(n) = 0.
-16, -2, -1, 0
Suppose c = -y - 4*y + 4, 20 = 5*y + 5*c. Let p(m) be the second derivative of y*m**2 - 1/12*m**4 + 0 - 1/2*m**3 - 37*m. Factor p(r).
-r*(r + 3)
Suppose 14*b = -74*b + 3520. Suppose -77 = b*g - 77. Solve g*f**4 - 5/4*f**3 + 0*f**2 + 0*f + 0 + 5/4*f**5 = 0.
-1, 0, 1
Let v = -58513/306 - -3144/17. Let y = v + 70/9. Determine h, given that 0 + y*h - 3/2*h**2 = 0.
0, 1
Let a(b) be the third derivative of -625*b**8/168 - 5*b**7 + 721*b**6/60 + 521*b**5/30 - 8*b**4 + 4*b**3/3 + 4008*b**2. What is h in a(h) = 0?
-1, 2/25, 1
Solve -13*j**2 - 862*j + 152 + 425*j + 417*j - 15*j**2 = 0 for j.
-19/7, 2
Let n(d) = -3*d + 13. Let l be n(6). Let y = l + 25. Determine j, given that 9 + 20*j - 84*j - y*j**2 - j - 24 = 0.
-3, -1/4
Factor -297*l + 747/5*l**2 - 3/5*l**3 + 741/5.
-3*(l - 247)*(l - 1)**2/5
Suppose 23*x - 1473 = 252. Factor x*c**3 + 54*c**3 + 917*c - 917*c - 42*c**2 - 9*c**4.
-3*c**2*(c - 14)*(3*c - 1)
Let b(f) be the second derivative of 3