d - 5)*(4*d - 1)/7
Let y(g) be the third derivative of -g**5/90 - 1648*g**4/9 - 10863616*g**3/9 - 11*g**2 + 345*g. Suppose y(h) = 0. What is h?
-3296
Let s(a) be the first derivative of -2*a**6/9 - 28*a**5/5 - 17*a**4/3 + 244*a**3/9 + 12*a**2 - 160*a/3 + 3120. Determine l so that s(l) = 0.
-20, -2, -1, 1
Let i be (795/4240)/((-90)/(-8)). Let q(f) be the third derivative of 18*f**2 + 0*f - i*f**5 + 5/24*f**4 - 2/3*f**3 + 0. Solve q(v) = 0 for v.
1, 4
Let f = -864 - -23330/27. Let b(h) be the first derivative of -1/3*h**4 + 0*h - f*h**6 + 0*h**3 + 8 + 0*h**2 - 16/45*h**5. Find n, given that b(n) = 0.
-3, -1, 0
Let i(z) be the first derivative of -z**4/12 + 11*z**3/3 - 57*z**2/2 + 81*z - 8019. Determine l so that i(l) = 0.
3, 27
Let m(p) be the third derivative of p**6/40 + 41*p**5/20 + 165*p**4/4 + 36*p**2 + p - 11. Find t such that m(t) = 0.
-30, -11, 0
Suppose 26*a - 28*a = -30. Let t(b) = -11*b**3 + 43*b**2 - 137*b + 137. Let q(c) = 80*c**3 - 300*c**2 + 960*c - 960. Let p(k) = a*t(k) + 2*q(k). Factor p(l).
-5*(l - 3)**3
Let v(k) be the second derivative of -k**6/180 - k**5/10 + k**4/36 + k**3 - 53*k**2/2 - 152*k. Let b(n) be the first derivative of v(n). Factor b(w).
-2*(w - 1)*(w + 1)*(w + 9)/3
Let u be (2 - (10 - 14))*(-22)/(-6). Suppose 44 - 43 - 9 - 55*l + 15*l**3 - 15*l**2 - u + 5*l**4 = 0. Calculate l.
-3, -1, 2
Let v be 66/(-154)*(-35)/6*(-24)/(-30). Factor 1/5*n**3 - 2/5*n**v - 4/5 - 7/5*n.
(n - 4)*(n + 1)**2/5
Let h be ((-50)/75)/((-16)/(-3)). Let i = 5/8 - h. Find r such that 3/4*r + 3/4 - 3/4*r**3 - i*r**2 = 0.
-1, 1
Factor 972/7*v + 32/7*v**2 - 620/7.
4*(v + 31)*(8*v - 5)/7
Let w(d) be the second derivative of -d**7/945 + d**6/180 - d**4/27 - 18*d**2 + 84*d. Let h(l) be the first derivative of w(l). Let h(c) = 0. Calculate c.
-1, 0, 2
Let q be 3/(-2 - 399/(-195)). Let h = q - 59. Let m(u) = -1458*u**2 - 210*u - 8. Let k(x) = -x. Let j(l) = h*k(l) + m(l). Factor j(p).
-2*(27*p + 2)**2
Let g = -145 - -147. Solve -25*t**g + 5 + 29*t**2 + 36*t + 67 = 0.
-6, -3
Suppose 3*o - 4*y + 6 = o, 0 = -2*o - 4*y + 26. Factor 6*g + 24*g**2 + 26*g**3 + 3*g**o + 2*g - 19*g**4 + 31*g**4 - g**5.
2*g*(g + 1)**2*(g + 2)**2
Let c = 1351 - 1347. Let j be 2/(-25)*(-40)/96*c. Factor -2/5*m + 0 - j*m**2.
-2*m*(m + 3)/15
Let o(g) be the third derivative of -g**5/90 - g**4 + 76*g**3/9 + g**2 + 2852*g + 1. Determine d, given that o(d) = 0.
-38, 2
Let z(m) be the second derivative of -m**7/63 + 118*m**6/45 - 2396*m**5/15 + 36328*m**4/9 - 236816*m**3/9 + 219488*m**2/3 - 565*m. Let z(c) = 0. Calculate c.
2, 38
Let t(j) be the third derivative of -j**6/6 + 12*j**5 - 2275*j**4/8 + 6125*j**3/6 + 61*j**2 - 1. Factor t(y).
-5*(y - 1)*(2*y - 35)**2
Solve 4*k**4 - 3*k**3 - 28*k**3 - k**2 - 43*k**2 + 34*k**3 + 37*k**3 = 0 for k.
-11, 0, 1
Let h(g) be the first derivative of g**6/1620 + g**5/135 - g**4/9 + 32*g**3/3 + 19. Let v(m) be the third derivative of h(m). Suppose v(k) = 0. What is k?
-6, 2
Find r such that 1520289/5 + 2466/5*r + 1/5*r**2 = 0.
-1233
Factor 2/11*j**3 - 828/11 - 112/11*j**2 + 938/11*j.
2*(j - 46)*(j - 9)*(j - 1)/11
Let o be -43*(-1)/4 - 180/(-144). Suppose 0 = -5*t - 12 + o. Factor t*s + 0 - 1/10*s**2.
-s**2/10
Determine c, given that -218/9 + 2*c**3 - 658/3*c**2 + 1310/9*c = 0.
1/3, 109
Let h(n) be the third derivative of 2*n**7/525 - 21*n**6/25 + 371*n**5/75 - 41*n**4/5 - 8006*n**2. Let h(g) = 0. Calculate g.
0, 1, 2, 123
Suppose 14*b = 15*b - 76. Determine p so that 23*p**4 - 14*p**2 - 35 - 100*p - 18*p**4 - b*p**2 - 20*p**3 = 0.
-1, 7
Let z(b) be the third derivative of -b**8/1344 - 97*b**7/168 - 7873*b**6/48 - 432929*b**5/24 - 8424325*b**4/96 - 4173281*b**3/24 - 1082*b**2. Factor z(c).
-(c + 1)**2*(c + 161)**3/4
Let o(n) be the first derivative of -n**6/6 + 19*n**5/5 - 15*n**4 - 16*n**3/3 + 128*n**2 - 240*n - 372. Factor o(f).
-(f - 15)*(f - 2)**3*(f + 2)
Let j(w) be the first derivative of 1/4*w**4 - 3*w**3 - 4*w + 60 + 11/2*w**2 + 1/5*w**5. Solve j(k) = 0.
-4, 1
Factor -532/3*z**2 + 1/6*z**5 - 1088/3 - 432*z - 1/2*z**4 - 83/3*z**3.
(z - 17)*(z + 2)*(z + 4)**3/6
Let w(r) be the second derivative of -121/14*r**2 + 0 + 1/4*r**4 + 33/14*r**3 + 1/140*r**5 + 23*r. Factor w(m).
(m - 1)*(m + 11)**2/7
Factor -289/3*x + 524/9*x**2 + 170/9*x**3 + 1/9*x**5 + 346/9 - 58/3*x**4.
(x - 173)*(x - 1)**3*(x + 2)/9
Let n(a) = 3058*a**2 + 3*a + 3. Let m be n(-4). Solve 66 - m*s**2 + 11*s + 16*s + 48916*s**2 = 0.
-2, 11
Let p(j) be the first derivative of -j**4/22 + 422*j**3/11 - 100488*j**2/11 + 199712*j/11 - 1061. Suppose p(o) = 0. What is o?
1, 316
Let n be (2*2)/(4 + -2). Let b(z) = n*z + 4*z - 30*z**2 - 2 - 10*z. Let l(a) = -30*a**2 - 3*a - 1. Let v(y) = -5*b(y) + 6*l(y). Factor v(d).
-2*(3*d + 1)*(5*d - 2)
Determine o, given that -23*o - 2560*o**3 + 10*o - 17*o - 28*o**2 + 2565*o**3 + 3*o**2 = 0.
-1, 0, 6
Let z(v) be the second derivative of -v**5/5 + 124*v**4/3 - 7168*v**3/3 - 32768*v**2 - 2*v - 11. Suppose z(y) = 0. What is y?
-4, 64
Let o(d) be the third derivative of -d**8/168 + 17*d**7/105 - 53*d**6/240 - 91*d**5/60 + 29*d**4/16 + 12*d**3 - 18*d**2 - 6. Determine m so that o(m) = 0.
-1, 3/2, 16
Let l(v) be the first derivative of -v**3/21 - 27*v**2/7 - 773. Factor l(r).
-r*(r + 54)/7
Let j(m) be the third derivative of -m**6/30 - 88*m**5/15 - 874*m**4/3 + 16928*m**3/3 + 58*m**2 + 2*m. Determine d, given that j(d) = 0.
-46, 4
Let u(f) be the second derivative of -f**5/5 - 27*f**4 - 1120*f**3 - 3200*f**2 + 1203*f. Factor u(c).
-4*(c + 1)*(c + 40)**2
Let t = 322760/197241 - 2/197241. Factor t*l - 16/11 - 2/11*l**2.
-2*(l - 8)*(l - 1)/11
Let w be ((-765)/20)/(9/(-24)). Factor -5*s**3 + 25*s + 66*s**2 - w*s**2 + 56*s**2.
-5*s*(s - 5)*(s + 1)
Let d = 367 + -365. Determine y, given that 1051*y - 144*y**4 - 2*y**5 + 30*y**4 + 666*y**3 - 2052*y**d + 5*y**5 - 79*y + 525*y**3 = 0.
0, 1, 18
Let k be -10 + 10 - -3*1. Let f(q) = -k*q**2 - 6*q**2 + q**2. Let h(j) = 4*j**2. Let t(v) = -3*f(v) - 5*h(v). Determine s so that t(s) = 0.
0
Let b(m) be the third derivative of -1/2*m**4 - 3*m**3 + 1/80*m**6 + 0 + 1/8*m**5 + m**2 - 13*m. Suppose b(x) = 0. What is x?
-6, -1, 2
Let s = 52 - 28. Suppose -z = -3*l + 9, -l - 5*z + 8*z - 13 = 0. Factor -q - 2*q**2 + s*q - l*q - 16.
-2*(q - 8)*(q - 1)
Determine u, given that 7488/5*u**2 - 2304/5*u + 124*u**4 - 3812/5*u**3 + 0 - 32/5*u**5 = 0.
0, 3/8, 3, 8
Let j(r) be the second derivative of r**4/42 - 18*r**3/7 + 288*r**2/7 - 10*r + 94. Let j(t) = 0. What is t?
6, 48
Let f(n) = n**2 + 13*n + 26. Let l be f(-11). Suppose l*x = -7*x. Determine s so that -4/3*s**2 + x + 4*s = 0.
0, 3
Let b(z) be the third derivative of z**7/210 - 17*z**6/60 - 9*z**5/5 - 55*z**4/12 - 37*z**3/6 + 240*z**2. Factor b(l).
(l - 37)*(l + 1)**3
Let y(t) be the first derivative of -56*t**3/15 + 169*t**2/5 - 12*t/5 + 3419. Factor y(s).
-2*(s - 6)*(28*s - 1)/5
Let s(h) = -17*h - 21. Let x be s(-3). Let u(r) = -r**3 + 32*r**2 - 60*r + 1. Let j be u(x). Let -7/4*k**3 + 4*k - 5/4*k**2 - j = 0. What is k?
-2, 2/7, 1
Let k(x) be the first derivative of -5*x**4/14 + 236*x**3/21 + 44*x**2 + 208*x/7 + 874. Let k(i) = 0. Calculate i.
-2, -2/5, 26
Let d = -323 - -327. Suppose -4*c = 5*v - 31, -7*v + 15 = -2*v. Solve -c*g**4 - 4*g**2 + 5*g**d - 4*g - g**5 + g**4 + 0*g**3 + 3*g**3 = 0.
-1, 0, 2
Let w = -84 + 102. Suppose -w*k = -13*k - 15. Determine l, given that 15*l**2 - 14 + 2 + 0*l**4 - k*l**4 = 0.
-2, -1, 1, 2
Let j(a) be the second derivative of -5/3*a**3 + 1/2*a**5 + 1/6*a**6 + 12 - 2*a - 5/2*a**2 + 0*a**4. Factor j(c).
5*(c - 1)*(c + 1)**3
Suppose -3648 = -12*l - 11364. Let t = l + 647. Factor 3*c**3 + 0 - 9/2*c**2 + 2*c - 1/2*c**t.
-c*(c - 4)*(c - 1)**2/2
Let g(f) be the third derivative of f**7/280 + 48*f**6/5 + 294143*f**5/40 - 36912*f**4 + 591361*f**3/8 - 9*f**2 - 8*f - 13. Determine x so that g(x) = 0.
-769, 1
Let x = -2357053/65 + 176221/5. Let z = -1018 - x. Factor -6/13*d**2 + 0 - z*d - 4/13*d**3.
-2*d*(d + 1)*(2*d + 1)/13
Let f be 0/(-1) + 1980/264. Let q(d) be the first derivative of f*d**2 - 12 + 0*d + 5/3*d**3. Let q(h) = 0. Calculate h.
-3, 0
Let t(z) = 27*z + 3159. Let f be t(-117). Factor f + 2/5*o**2 - 12/5*o + 2/5*o**3.
2*o*(o - 2)*(o + 3)/5
Let r = -71 + 71. Let t be (4 - r) + 10/(-80)*8. Factor -1/5*c**t - c + 4/5*c**2 + 2/5.
-(c - 2)*(c - 1)**2/