 17)/2
Let x(o) be the first derivative of 1/2*o**4 - 6/5*o**5 + 0*o + 1/3*o**6 + 2*o**3 - 2*o**2 + 21. Factor x(z).
2*z*(z - 2)*(z - 1)**2*(z + 1)
Let m(u) = u**2 + 8*u + 9. Let f be m(-7). Suppose -4*z**2 + 9*z**f + 20696*z - 20671*z = 0. Calculate z.
-5, 0
Factor 0 + 9/5*n**2 - 1/5*n**3 + 0*n.
-n**2*(n - 9)/5
Let n(l) be the third derivative of -6*l**2 - 8/39*l**3 - 119/780*l**6 - 3/65*l**5 + 0*l - 7/195*l**7 + 0 + 11/39*l**4. Suppose n(f) = 0. Calculate f.
-2, -1, 2/7
Let h(r) = r - 4. Let c be h(6). Let w = -10493/13 - -21103/26. Let w*v**5 + 3*v**4 - 2*v**c - 11/2*v**3 + 0 + 2*v = 0. What is v?
-1, 0, 2/3
Let z(k) = -4*k**2 - 86*k - 42. Let v be z(-21). Determine u so that 161*u - 4 + 112 + 4*u**2 - 49*u + v*u**2 = 0.
-27, -1
Let j(l) be the first derivative of l**4/15 + 32*l**3/15 + 6*l**2 + 4*l - 2. Let v(z) be the first derivative of j(z). Determine n, given that v(n) = 0.
-15, -1
Let p be 26481/(-30264) - 182/(-16). Factor 21/2*r**2 + 3/2*r**3 - 3/2*r - p.
3*(r - 1)*(r + 1)*(r + 7)/2
Let l(t) be the first derivative of 10443*t**4/32 - 2773*t**3/8 - 126*t**2 - 27*t/2 - 365. Solve l(j) = 0 for j.
-6/59, 1
Suppose -52*o + 84*o = 44*o - 60. Let g(y) be the first derivative of 0*y**2 + 0*y**3 + 2/5*y**o - y**4 - 6 + 0*y. Find b such that g(b) = 0.
0, 2
Factor 1/3*m**2 + 530/3*m + 529/3.
(m + 1)*(m + 529)/3
Let s = -573933 + 1147869/2. Factor 3/4*v - 3/2*v**2 + s - 3/4*v**3.
-3*(v - 1)*(v + 1)*(v + 2)/4
Suppose -2*g**3 - 19*g**3 + 0*g**3 + g**3 - 244*g**4 + 25*g**2 + 239*g**4 = 0. Calculate g.
-5, 0, 1
Factor -4*d**5 + 35*d**4 + 511560*d**3 - 511520*d**3 - d**5.
-5*d**3*(d - 8)*(d + 1)
Find v such that -71*v**2 + 5*v**3 + 110*v**2 + 2512*v**4 + 72 - 2515*v**4 - 114*v + v**3 = 0.
-4, 1, 2, 3
Suppose 23*a - 6*a = 425. Suppose -242*t + a = -237*t. Determine v, given that -32/17 - 112/17*v - 86/17*v**3 - 22/17*v**4 - 2/17*v**t - 146/17*v**2 = 0.
-4, -1
Let t(l) be the third derivative of l**6/180 - 14*l**5/45 + 109*l**4/36 + 46*l**3/3 - 4*l**2 + 213*l. Factor t(x).
2*(x - 23)*(x - 6)*(x + 1)/3
Let s(a) = -2228*a - 6680. Let w be s(-3). Let x(b) be the second derivative of 2*b**2 - b**3 + 1/6*b**w + 0 + 40*b. Suppose x(o) = 0. What is o?
1, 2
Factor 4604*a**2 + 606*a + 102*a - 4608*a**2 - 690 - 14.
-4*(a - 176)*(a - 1)
Suppose 4488*k**2 + 24*k**4 - 39*k**3 - 3*k**5 - 25*k**4 - 19*k**4 - 34*k**4 - 12*k**4 + 420*k - 58800 = 0. Calculate k.
-14, -4, 5
Determine k so that -2*k**3 + 5 + 2*k**3 - 4*k**3 + 92*k**2 - 572*k + 479 = 0.
1, 11
Let p = -2220 - -15546/7. Let r(l) be the first derivative of 4/7*l + 2/35*l**5 - 5/14*l**4 + p*l**3 - 12 - l**2. Solve r(u) = 0 for u.
1, 2
Let a = -2664 - -2670. Factor -2*n**4 - 20*n**2 + 0 + a*n - 31/2*n**3.
-n*(n + 2)*(n + 6)*(4*n - 1)/2
Let j(z) be the second derivative of -z**6/150 + 3*z**5/20 - 29*z**4/30 + 14*z**3/5 - 4*z**2 - 4417*z. Determine b, given that j(b) = 0.
1, 2, 10
Let k(p) be the second derivative of -1/120*p**5 + 1/6*p**2 - 7 + 1/180*p**6 - 4*p - 1/24*p**4 + 1/36*p**3. Factor k(y).
(y - 2)*(y - 1)*(y + 1)**2/6
Suppose -4*u = -12, -46*b + 44*b - 3*u + 15 = 0. Suppose -c = d + 3, -b*c = -6*c + d + 11. Factor 2*h - 2/5*h**3 - 4/5*h**c + 12/5.
-2*(h - 2)*(h + 1)*(h + 3)/5
What is c in -98/19*c**2 - 2/19*c**4 - 80/19 - 24/19*c**3 - 156/19*c = 0?
-5, -4, -2, -1
Let d(j) be the second derivative of 0 + 46*j + 19/13*j**6 + 61/26*j**5 + 115/78*j**4 + 1/3*j**7 - 4/13*j**2 + 0*j**3. Suppose d(z) = 0. Calculate z.
-1, -2/7, 2/13
Let l(f) be the third derivative of -f**7/70 - f**6/2 - 31*f**5/10 + 47*f**4/2 - 105*f**3/2 + 8*f**2 - 45*f. Let l(i) = 0. Calculate i.
-15, -7, 1
Let h be (8/92 + (-3268)/(-98900))*(0 + 10). Solve -3/5*p**3 - h*p - 9/5*p**2 + 0 = 0 for p.
-2, -1, 0
Let o(s) be the third derivative of 121*s**6/1800 + 11*s**5/50 + 3*s**4/10 + 301*s**3/6 - 3*s**2 - 58*s. Let r(c) be the first derivative of o(c). Factor r(q).
(11*q + 6)**2/5
Let t(r) be the third derivative of 5/2*r**3 + 0 + 0*r - 1/72*r**6 + 5/12*r**4 + 1/24*r**5 + 6*r**2. Let b(s) be the first derivative of t(s). Solve b(l) = 0.
-1, 2
Let x = 302/5 + -60. Let h = -1608/5 - -322. Factor 0 + x*n**2 + h*n.
2*n*(n + 1)/5
Let u(j) be the first derivative of 47 - 8/3*j**3 + 0*j - 20*j**2 - 1/10*j**4. Factor u(y).
-2*y*(y + 10)**2/5
Let m be (-38)/(-6)*(-70 + (-15192)/(-216)). Factor -m*j + 4/9*j**2 - 5/9.
(j - 5)*(4*j + 1)/9
Let j(d) be the first derivative of -267*d**4/20 + 91*d**3/5 - 3*d**2/5 - 1321. Let j(x) = 0. What is x?
0, 2/89, 1
Let z(r) = -301*r - 13545. Let c be z(-45). Let m = 6 - 3. What is v in c - 100*v**m - 5/3*v**5 - 320/3*v - 560/3*v**2 - 65/3*v**4 = 0?
-4, -1, 0
Let t = 3/288586 - -54253313/82247010. Let g = t + 8/57. Factor g*y**4 - 4/5*y**2 + 4/5*y + 0 - 4/5*y**3.
4*y*(y - 1)**2*(y + 1)/5
Solve -1318*f**2 + 1984 - 2124*f - 1310*f**2 - 1315*f**2 + 142 + 3941*f**2 = 0.
-1063, 1
Let n(v) be the first derivative of v**4/2 + 416*v**3 + 623*v**2 - 1295. Determine k so that n(k) = 0.
-623, -1, 0
Let r(n) be the first derivative of -21 - 3430*n - 35/2*n**3 + 5/16*n**4 + 735/2*n**2. Factor r(k).
5*(k - 14)**3/4
Let a(o) be the second derivative of 50/7*o**3 + 5/14*o**4 - 35/2*o**2 + 1/140*o**5 - 17*o + 0. Let l(c) be the first derivative of a(c). Factor l(m).
3*(m + 10)**2/7
Suppose -455*v - 9268 = -462*v. Let x = v - 2645/2. Factor -5/4*o + x + 1/4*o**2.
(o - 3)*(o - 2)/4
Suppose -7*u + 93 - 58 = 0. Solve u*l**2 - 6 - 115*l + 316 - 100 = 0.
2, 21
Let a(o) = -o**2 + 23*o + 85. Let h be a(26). Determine t so that 6*t**2 + 5*t**4 + h*t**3 + t**5 - 34*t**2 + 31*t**2 = 0.
-3, -1, 0
Let -10*k**4 - 2*k**5 + 47*k**2 + 65*k**2 - 108*k**2 + 4 - 12*k**3 + 14*k + 2 = 0. Calculate k.
-3, -1, 1
Let j(b) be the first derivative of -4*b**5/5 - 2*b**4 + 148*b**3/3 + 172*b**2 - 480*b - 3490. Determine k so that j(k) = 0.
-5, -4, 1, 6
Factor 34/13 + 12/13*s**2 + 206/13*s.
2*(s + 17)*(6*s + 1)/13
Let l(h) be the first derivative of 4*h**3/39 - 157*h**2/13 - 158*h/13 + 326. Suppose l(u) = 0. What is u?
-1/2, 79
Let g(j) be the second derivative of j**6/240 + j**5/120 - j**4/48 - j**3/12 - 25*j**2/2 + 7*j + 6. Let n(r) be the first derivative of g(r). Factor n(q).
(q - 1)*(q + 1)**2/2
Let b(l) be the first derivative of -l**5/78 + 139*l**4/78 + 112*l**3/39 + 101*l**2 - 99. Let z(j) be the second derivative of b(j). Solve z(a) = 0.
-2/5, 56
Let x(j) be the first derivative of 2*j**3/3 + 190*j**2 - 382*j - 1062. Factor x(n).
2*(n - 1)*(n + 191)
Let n be -2 + (-4)/8 + (-4)/8. Let k be 3 + 6/(n + 4). Factor -4 + j**3 + 310*j**2 + k*j + 0 - 316*j**2.
(j - 4)*(j - 1)**2
Let c = 739293/1232105 - 6/246421. Let g(v) = -v. Let x be g(0). Factor 3/5*f**4 + 0 - c*f**3 + 0*f**2 + x*f.
3*f**3*(f - 1)/5
Let k(y) be the second derivative of -y - 1/10*y**5 + 0*y**2 - 1/3*y**3 + 1/3*y**4 - 75. Find b, given that k(b) = 0.
0, 1
Let k be (-219)/(-2) - (-20)/(-40). Factor 36*v + 113*v**3 - 338*v**3 - 34*v**2 + 114*v**3 + k*v**3.
-2*v*(v - 1)*(v + 18)
Let j(s) = s**3 - 104*s**2 - 196*s + 10. Let z(a) = -2*a**3 + 106*a**2 + 196*a - 15. Let v(r) = -3*j(r) - 2*z(r). Factor v(l).
l*(l + 2)*(l + 98)
Let r(o) be the second derivative of o**4/30 - 191*o**3 - 2269*o. Factor r(q).
2*q*(q - 2865)/5
Let s be 2 + (-4)/14 + (-259)/(-49). Suppose s*q - 11*q = 5*d + 6, -20 = -2*d + 4*q. Find o, given that 1/2*o**d + 3/2 - 1/2*o**3 + 5/2*o = 0.
-1, 3
Let a(v) = 14*v - 168. Let f be 37/3 - (-55)/(-165). Let p be a(f). Find b such that -2/3*b**2 + p*b + 0 = 0.
0
Let z(h) be the second derivative of -2*h**4/3 + 991*h**3/3 + 248*h**2 - 4*h - 8. Factor z(u).
-2*(u - 248)*(4*u + 1)
Let o(t) = t**3 + 16*t**2 - 36*t. Let a be o(-18). Suppose 23*r + 8*r = a. Factor -10/17*k - 2/17*k**2 + r.
-2*k*(k + 5)/17
Let z(a) be the first derivative of 9/2*a**2 + 133 + 8/3*a**3 + 0*a - 5/2*a**4 - 8/5*a**5 + 1/6*a**6. Suppose z(g) = 0. Calculate g.
-1, 0, 1, 9
Let o(n) = n**2 - 2. Let z(h) = -h**4 + 46*h**3 - 435*h**2 - 2300*h - 2488. Let m(j) = -30*o(j) - 5*z(j). Solve m(q) = 0.
-2, 25
What is c in 0 + 372*c**3 - 4/3*c**5 - 120*c**4 + 0*c**2 + 0*c = 0?
-93, 0, 3
Let l = -413/183 - -219/61. Let 2*c**2 + 2/3*c**3 + l - 10/3*c - 2/3*c**4 = 0. Calculate c.
-2, 1
Suppose 0 = -v + 5*y - 5, 0 = -5*v + 6*v + y - 1. Suppose -4*a - 5*h + 23 = v, -2*a - h + 6 = -1. Factor -a - n**3 - n**2 - 2*n + 4*n**2 + 3*n