+ x(d). Determine q, given that w(q) = 0.
-2, 168
Let g(i) be the second derivative of i**10/10080 - i**9/5040 - i**8/2240 + i**7/840 + 13*i**4/6 - 51*i. Let d(h) be the third derivative of g(h). Factor d(y).
3*y**2*(y - 1)**2*(y + 1)
Let p(f) be the third derivative of -1/30*f**5 + f**2 + 0*f**3 - 1/18*f**4 + 2*f + 1/315*f**7 + 0 + 0*f**6. Factor p(u).
2*u*(u - 2)*(u + 1)**2/3
Let a be -5 + 1 + (-10 - (-387)/27). Let i(x) be the second derivative of -18*x + 1/15*x**6 + a*x**3 + 0*x**2 - 1/10*x**5 - 1/6*x**4 + 0. Factor i(f).
2*f*(f - 1)**2*(f + 1)
Factor -31*y**2 + 0*y**2 + 7*y**2 - 25*y**2 - 4 - 42*y**3 - 30*y - 19*y**2.
-2*(y + 1)*(3*y + 1)*(7*y + 2)
Let x be 5712/3332 + (-3 - (-262)/182). Suppose 2/13*a**3 - 8/13*a + 8/13 - x*a**2 = 0. Calculate a.
-2, 1, 2
Let h(y) be the first derivative of -y**5/600 - y**4/240 + y**3/10 + 105*y**2/2 - 77. Let m(t) be the second derivative of h(t). Factor m(d).
-(d - 2)*(d + 3)/10
Factor 11*q**4 - 24*q**2 - 3*q**4 + 17*q**2 + 15*q**3 - q + 9*q**2 + 4*q**2.
q*(q + 1)**2*(8*q - 1)
Let d(m) be the third derivative of m**5/12 - 740*m**4/3 + 5915*m**3/6 + 2*m**2 + 1778*m. What is a in d(a) = 0?
1, 1183
Let z(b) be the second derivative of -b**7/8 - 33*b**6/40 - 27*b**5/40 + b**4/2 + 4*b + 1064. Solve z(c) = 0 for c.
-4, -1, 0, 2/7
Let g(f) be the second derivative of f**6/5 - 2619*f**5/20 + 217*f**4/2 + 873*f**3/2 - 654*f**2 + 3*f - 152. Let g(y) = 0. What is y?
-1, 1/2, 1, 436
Let d = -12509/3 + 4170. Let s(g) be the first derivative of -g - d*g**3 - 6 - g**2. Determine w so that s(w) = 0.
-1
Let p(w) = 76 - 12*w - 21*w + 44*w - 15*w. Let f be p(19). Factor -4/7*m**2 + 0 - 2/7*m**4 + 6/7*m**3 + f*m.
-2*m**2*(m - 2)*(m - 1)/7
Let p = 66 - 60. Let q(d) = -d**2 + 8*d - 8. Let t be q(p). Factor -r**t + 518*r + 2*r**2 - 518*r - r**3.
-r**2*(r - 1)*(r + 2)
Suppose -8*q + 3*g = -12*q + 88, 87 = 3*q - 3*g. Suppose 19 = -2*h + q. Factor -2/13*v**h - 4/13*v**2 + 4/13 + 2/13*v.
-2*(v - 1)*(v + 1)*(v + 2)/13
Suppose -3*m - 8 = -5*m. Let i(z) = 8*z**2 - 12*z + 8. Let h(j) = 12*j + 109. Let u be h(-9). Let w(g) = -g**2. Let k(o) = m*w(o) + u*i(o). Factor k(y).
4*(y - 2)*(y - 1)
Let -322 - 61*g**5 - 2844*g**3 - 2368*g + 73*g**5 - 490*g**4 - 206 - 3924*g**2 - 258*g**4 = 0. What is g?
-1, -2/3, 66
Let -169 - 75*y + 6 + 3*y**2 + 85 = 0. What is y?
-1, 26
Let m = -6 - -8. Suppose -185*d + 190*d - 9*a = -89, -34 = 5*d - 4*a. Suppose d*r - 5/2 + 1/2*r**m = 0. What is r?
-5, 1
Suppose -u + 5*d = 3, 3*u + d = 26 - 19. Determine i, given that 2189 + 20*i - 218*i - 8*i + 4*i**2 + 515 - u*i = 0.
26
Let n be (-5)/((-325)/26) - 14/40. Let j(g) be the third derivative of -3/2*g**3 - n*g**5 - 2*g**2 + 0 + 1/2*g**4 + 0*g. Let j(v) = 0. What is v?
1, 3
Let r(h) be the first derivative of -49/36*h**4 + 0*h**2 - 11/3*h**3 + 0*h - 1/540*h**6 + 7/90*h**5 + 7. Let f(t) be the third derivative of r(t). Factor f(v).
-2*(v - 7)**2/3
Suppose -m = 35 + 21. Let h = m + 57. Suppose 1 - 162*i**4 + 4*i**2 - h + 158*i**4 = 0. Calculate i.
-1, 0, 1
Factor -2780*w**2 - 1353 - 248*w + 2777*w**2 + 404*w.
-3*(w - 41)*(w - 11)
Let 108*v**2 - 5*v**4 - 20 - 12*v**3 - 4*v**2 - 24*v - 43*v**2 = 0. What is v?
-5, -2/5, 1, 2
Suppose 3*r = -l - 591 - 297, -5*l = 3*r + 900. Let s = -177 - r. Determine u so that -s*u**2 + 114*u**2 + 0 + 0 - 4*u**3 = 0.
-1, 0
Let r(o) = 3*o - 18. Let f(k) = k - 6. Let s(q) = 11*f(q) - 4*r(q). Let t be s(4). Factor -6*v**2 + 4*v**4 - 11*v**3 + 5 - t*v**4 + 2*v + 9*v**3 - 1.
2*(v - 2)*(v - 1)*(v + 1)**2
Let v(f) be the second derivative of -f**6/60 - 111*f**5/40 - 213*f**4/8 - 315*f**3/4 + 2213*f. Let v(g) = 0. Calculate g.
-105, -3, 0
Let h(f) be the third derivative of -f**5/12 - 5*f**4/3 + 50*f**3/3 + f**2 - 55*f. Suppose h(l) = 0. Calculate l.
-10, 2
Let k(s) be the third derivative of s**7/21 - 3*s**6/8 - 13*s**5/4 + 125*s**4/24 + 35*s**3/2 + 469*s**2 + 2*s - 1. Let k(i) = 0. Calculate i.
-3, -1/2, 1, 7
Let j = 61747 - 61745. Factor -16/5*k**j - 24/5 + 4/5*k**3 - 44/5*k.
4*(k - 6)*(k + 1)**2/5
Suppose -6*u + 5*u - 4*m = -26, 0 = -5*m + 20. Let -5*j**5 - 78*j**2 + 9 + 48*j**2 + 6 + 0 + 15*j**4 - 5*j + u*j**3 = 0. Calculate j.
-1, 1, 3
Suppose -5*t + 3*p = -27, -3*p = -5*t + 3*t + 18. Let u = 279683 - 279678. Factor -2/3*l**t - 1/9*l**u - 2/9*l**2 - 1/3 + 5/9*l**4 + 7/9*l.
-(l - 3)*(l - 1)**3*(l + 1)/9
Find v such that 1/8*v**4 + 103/4*v**3 - 627/8*v**2 + 0*v + 0 = 0.
-209, 0, 3
What is u in -85 + 268*u**2 - 108*u**3 - 92*u**4 + 277 + 382*u + 90*u + 4*u**5 = 0?
-1, 2, 24
Let s = 52 - 47. Suppose -s*o = -5*u + 30, 2*u - 5*o = 4*u + 2. Factor -u*a**3 + 8 - 10*a**2 + 4*a**2 - 76*a + 84*a + 2*a**4.
2*(a - 2)**2*(a + 1)**2
Let x = -1 + 4. Let f be 11442/17163 + (-2 - 4/(-3)). Factor -2/5*n**2 + 0 + 1/5*n**x + f*n.
n**2*(n - 2)/5
Factor -1/9*v**3 - 16/9*v**2 + 101/9*v - 28/3.
-(v - 4)*(v - 1)*(v + 21)/9
Let r = -426/203 + 569678/609. Let j = 934 - r. Let 4/3*a**2 - 2/3*a - j*a**5 - 2/3*a**4 - 2/3 + 4/3*a**3 = 0. What is a?
-1, 1
Let b(w) = 5*w**2 - 87*w - 464. Let t(f) = -4*f**2 + 87*f + 463. Let s(q) = 12*b(q) + 16*t(q). Factor s(r).
-4*(r - 92)*(r + 5)
Suppose -c - 29 = -h - 2*c, 93 = 3*h + 5*c. Suppose 109 + 22 + h*g - g**2 + 32 - 332 = 0. What is g?
13
Let t = 36357 - 36354. Let i(b) be the first derivative of -1/2*b**t + 3/2*b**2 - 9/8*b**4 + 0*b + 45. Find q, given that i(q) = 0.
-1, 0, 2/3
Let a(k) be the second derivative of 72*k**2 + 22*k**3 + 10/3*k**4 + 1/5*k**5 - 2 + 20*k. Solve a(f) = 0.
-4, -3
Let t(w) = -w**3 - 7*w**2 + 3*w - 4. Let q be t(-6). Let v = 333 + q. Factor 4*j**4 + 275 - 16*j**3 - v.
4*j**3*(j - 4)
Let g = 940 - -186. Let q = g + -1124. Factor 0 - 8/5*f - 2/5*f**q.
-2*f*(f + 4)/5
Let p(l) be the second derivative of 37*l + 0*l**3 - 5/96*l**4 + 0 - 8*l**2 - 1/48*l**5. Let d(k) be the first derivative of p(k). Factor d(a).
-5*a*(a + 1)/4
Factor 1159*w**4 - 1207*w**4 + 140*w**3 - 2*w**5 - 21*w**3 - 7*w**3 - 2*w**5.
-4*w**3*(w - 2)*(w + 14)
Let y(i) be the second derivative of -5*i**4/12 + 25*i**3/6 + 35*i**2 - 312*i. Let y(a) = 0. Calculate a.
-2, 7
Let k(y) be the second derivative of -2/3*y**4 - y**5 + 16/3*y**3 - 2/15*y**6 + 0*y**2 - 90*y + 0. Factor k(s).
-4*s*(s - 1)*(s + 2)*(s + 4)
Let f(c) be the first derivative of c**4/10 - 106*c**3/3 + 264*c**2/5 + 736. Suppose f(r) = 0. What is r?
0, 1, 264
Let k(c) = 2*c**2 + c + 12. Let b(y) = -7*y**3 - 5224*y**2 - 972413*y + 278234. Let p(a) = b(a) + 2*k(a). Solve p(o) = 0.
-373, 2/7
Let o(n) be the third derivative of n**5/20 - 3*n**4/4 - 20*n**3 + 180*n**2. Factor o(k).
3*(k - 10)*(k + 4)
Let q(l) be the second derivative of -l**6/40 - l**5/20 + l**4/8 + l**3/2 - 3*l**2 - 9*l + 2. Let f(r) be the first derivative of q(r). Factor f(v).
-3*(v - 1)*(v + 1)**2
Let m(g) be the second derivative of 2*g**6/15 + 2*g**5/5 - 31*g**4/3 - 184*g**3/3 - 120*g**2 + 1483*g. Let m(i) = 0. What is i?
-5, -2, -1, 6
Suppose -16*t + 17*t = -3*f + 1765, 5*t + 599 = f. Let d = f + -587. Solve 0*a + 0*a**d + 2/11*a**3 + 0 = 0.
0
Factor 95/3*z + 9*z**2 + 23 + 1/3*z**3.
(z + 1)*(z + 3)*(z + 23)/3
Let t(z) be the first derivative of z**5/4 - 5*z**4/2 + 15*z**3/2 + 128*z - 130. Let y(i) be the first derivative of t(i). Let y(v) = 0. What is v?
0, 3
Factor -1984 - 444*v - 24*v**2 - 36*v + 144 + 19*v**2.
-5*(v + 4)*(v + 92)
Let v(i) = i**2 + 4*i + 6. Let q = 10 + -13. Let o be v(q). Factor 4*s + 3/2 + 0*s**o + 3*s**2 - 1/2*s**4.
-(s - 3)*(s + 1)**3/2
Suppose 2*y = 5*y - 2067. Let g = 689 - y. Suppose 2 - 1/3*m**3 + 7/3*m + g*m**2 = 0. What is m?
-2, -1, 3
Let u(k) be the first derivative of -3*k**4/4 - 8*k**3 + 135*k**2/2 - 108*k + 868. Find z, given that u(z) = 0.
-12, 1, 3
Let p = 117674 - 117674. Factor -2/5*v**4 - 4/5*v**3 + 2/5*v**5 + 0*v + 0 + p*v**2.
2*v**3*(v - 2)*(v + 1)/5
Let y = 263 - 264. Let i be ((-80)/12)/(28/(-21)) + y. Factor -1/2*a**i + 3/2*a**2 + 1/2*a**3 + 1 - 5/2*a.
-(a - 1)**3*(a + 2)/2
Let t(k) = k**3 + 3*k**2 + 40*k - 9. Let p be t(-11). Let a be 20/26*p/(-1308). Suppose 1/6*o**4 + 11/6*o**2 + a*o + 0 + 7/6*o**3 = 0. What is o?
-5, -1, 0
Suppose -3/7*u**5 - 117/7*u**3 - 132/7*u + 183/7*u**2 + 36/7 + 33/7*u**4 = 0. What is u?
1, 2, 6
Factor 1081*t**4 + 192230*t**2 + 29016405 - 1076*t**4 + 1979376*t - 6990096*t + 2080*t**3.
5*(t - 11)**2*(t + 219)**2
Let y be (-138)/230*2