 of -c**4/48 - 80*c**3/3 - 12800*c**2 + 236*c. Determine u, given that m(u) = 0.
-320
Factor -1/2*y**2 - 293/2*y**3 + 1/2*y**4 + 293/2*y + 0.
y*(y - 293)*(y - 1)*(y + 1)/2
Factor -8/3*g - 1/3*g**2 - 4.
-(g + 2)*(g + 6)/3
Solve 102 + 55*o - 1380*o**2 + 5*o**3 + 1310*o**2 + 28 = 0.
-1, 2, 13
Let l = -16/26221 + 812915/104884. Factor l*w**2 - 1/2*w + 0.
w*(31*w - 2)/4
Let 14 - 14 - 1052*z - z**2 + 940*z = 0. Calculate z.
-112, 0
Let k(h) = -30*h**3 - 80*h**2 + 94*h + 4. Let u(a) = -31*a**3 - 76*a**2 + 93*a + 6. Let w(d) = -3*k(d) + 2*u(d). Solve w(q) = 0 for q.
-4, 0, 6/7
Let l = -1277556 - -1277559. Factor 3/2*o**l + 17298*o - 279*o**2 - 357492.
3*(o - 62)**3/2
Suppose -87*a = -91*a + 16, 3*a = 3*k - 3. Find q, given that -14/9*q + 22/9*q**4 + 4/9*q**3 + 10/9*q**k - 20/9*q**2 - 2/9 = 0.
-1, -1/5, 1
Let k be (68/10)/(24/60). Suppose 6*w - w = -4*z + 35, 2*w + z = k. Factor 5*y**2 + 19 - w - 8 + 5*y.
5*y*(y + 1)
Let q(m) = -10*m**3 - 2261*m**2 + 4346*m + 9. Let z(l) = 5*l**3 + 1131*l**2 - 2186*l - 4. Let x(c) = -4*q(c) - 9*z(c). What is n in x(n) = 0?
-229, 0, 2
Let j(v) = 7 + 2 + v - 12 + 4. Let q = 5 + -11. Let a(u) = 9*u**2 - 8*u - 6. Let l(r) = q*j(r) - a(r). Suppose l(k) = 0. Calculate k.
0, 2/9
Let p = 35 - 27. Suppose p*h - 40 = -0*h. Factor 3*g**3 - 104*g**4 - 104*g**4 + 210*g**4 - 2*g**h + g**3.
-2*g**3*(g - 2)*(g + 1)
Let f = 5408/114495 - 18/2245. Let b(p) be the first derivative of -2/17*p**2 + 8 + 0*p + f*p**3. Factor b(j).
2*j*(j - 2)/17
Let p(g) be the first derivative of g**6/42 + 12*g**5/7 + 26*g**4 + 736*g**3/21 - 6840*g**2/7 + 17600*g/7 - 8942. Determine m so that p(m) = 0.
-44, -10, 2
Let r be 342/30 - ((-3 - 2)/((-20)/(-8)) - -13). Find g, given that r - 2/5*g**2 - 1/5*g**5 + 4/5*g**3 - 3/5*g + 0*g**4 = 0.
-2, -1, 1
Let d(o) be the first derivative of o**6/2 + 21*o**5/5 + 39*o**4/4 + o**3 - 21*o**2 - 24*o + 678. Solve d(b) = 0.
-4, -2, -1, 1
Suppose 3*j = -2*z + 6*z - 58, 49 = -3*j - 5*z. Let m = -16 - j. Factor m*d + 4/3 + 0*d**2 - 2/3*d**3.
-2*(d - 2)*(d + 1)**2/3
Let s(r) be the first derivative of -r**3/27 + 149*r**2/18 + 310*r/3 - 5490. Suppose s(l) = 0. Calculate l.
-6, 155
Let d be 46299/61061 - (-1)/(-7). Factor -8/13 + d*y - 2/13*y**2.
-2*(y - 2)**2/13
Let j(m) be the first derivative of -4*m**3/3 + 623*m**2/2 - 465*m - 3422. Factor j(w).
-(w - 155)*(4*w - 3)
Let a(i) be the third derivative of i**7/210 - 233*i**6/10 + 975803*i**5/30 + 325967*i**4/2 + 1957201*i**3/6 + 1307*i**2. Factor a(b).
(b - 1399)**2*(b + 1)**2
Let w(a) be the third derivative of 1/3*a**4 - 1/10*a**5 + 0*a + 4/3*a**3 + 0 - 1/30*a**6 + 6*a**2 + 1/105*a**7. Find t, given that w(t) = 0.
-1, 2
Let g(a) be the first derivative of -a**7/840 - 31*a**2/2 - 13. Let n(w) be the second derivative of g(w). Suppose n(o) = 0. What is o?
0
Let i(w) = 10*w**2 + 1250*w + 1130. Let f(n) = -5*n**2 - 630*n - 565. Let y(v) = 11*f(v) + 6*i(v). Solve y(q) = 0 for q.
-113, -1
Suppose 2*i - 966 = -5*d, 8*d - 4*d = -2*i + 772. Solve -388 + 194 + d - 5*r**3 = 0.
0
Let a = 8135 - 8113. Let z(u) be the first derivative of -a + 5/3*u**3 + 5*u + 5*u**2. Factor z(v).
5*(v + 1)**2
Suppose 11*m + 31 = -13. Let c be m*((-90)/28)/(-5) + 3. Solve 0 + 8/7*o**4 + c*o - 5/7*o**5 - 8/7*o**2 + 2/7*o**3 = 0.
-1, 0, 3/5, 1
Suppose 3*g - 661 = 2*m, 4*m = 5*g + 2*m - 1099. Find z, given that -z - 12 - g*z**2 - 222*z**2 + 442*z**2 = 0.
-3, 4
Let s be (-28)/(-10)*4070/2849. Factor -8/5 + 4*c + 2/5*c**s - 6/5*c**2 - c**3.
(c - 2)**2*(c + 2)*(2*c - 1)/5
Factor 3/5*g**3 - 48/5*g + 0 + 0*g**2.
3*g*(g - 4)*(g + 4)/5
Suppose 11*d**2 + d**4 - 26*d + 121*d + 7*d**3 - 90*d = 0. What is d?
-5, -1, 0
Suppose -30*u + 14844 = 14784. Factor -30/11*k + 2/11*k**u + 28/11.
2*(k - 14)*(k - 1)/11
Let d(l) be the first derivative of l**5 - l**4 - 33 - 10/3*l**3 - 2/15*l**6 + 38*l + 8*l**2. Let a(m) be the first derivative of d(m). Factor a(k).
-4*(k - 4)*(k - 1)**2*(k + 1)
Let h(y) be the first derivative of -20*y**5 - 16*y + 116/3*y**3 + 44*y**2 - 13/3*y**6 - 31/2*y**4 + 98. Let h(l) = 0. What is l?
-2, -1, 2/13, 1
Factor -92/15*m + 2/15*m**2 + 112/5.
2*(m - 42)*(m - 4)/15
Let v = 143 - 134. Suppose v*z - 474 = 1560. Factor z*k**2 - 446*k**2 + 224*k**2 + 32 - 24*k.
4*(k - 4)*(k - 2)
Let v(s) be the third derivative of -s**8/1008 - s**7/9 + s**6/5 + 7*s**5/18 - 71*s**4/72 - 5009*s**2. Let v(i) = 0. What is i?
-71, -1, 0, 1
Suppose 3*c + 4 = -3*k - 2, 4*k + c = 4. Find u such that -3*u**3 - 6*u**3 + 36 + 12*u + 12*u**3 - 21*u**k = 0.
-1, 2, 6
Let c be 342*(-42)/1008 - 15/(-1). Factor -3*b**2 + 0 - 15/4*b + c*b**3.
3*b*(b - 5)*(b + 1)/4
Let r(w) = 12*w**3 - 16*w**2 + 8*w. Let v(m) be the first derivative of 13*m**4/4 - 5*m**3 + 7*m**2/2 + 11. Let s(i) = 5*r(i) - 4*v(i). Factor s(p).
4*p*(p - 1)*(2*p - 3)
Let x(n) be the third derivative of -n**8/1344 - n**7/21 - n**6 + 7*n**4/24 - n**2 - 5*n. Let g(j) be the second derivative of x(j). Solve g(z) = 0 for z.
-12, 0
Let c(r) = -4*r**3 - 5*r**2 - 59*r - 10. Suppose y + 5*h - 5 = 10, -y + 5*h = 5. Let u(a) = -a**3 - 2*a**2 - 29*a - 4. Let l(o) = y*u(o) - 2*c(o). Factor l(k).
3*k*(k - 3)*(k + 3)
Let k(q) be the second derivative of -q**4/48 + 11*q**3/8 + 27*q**2/2 + 29*q + 17. Factor k(c).
-(c - 36)*(c + 3)/4
Let c(w) be the second derivative of 22 + 1/8*w**4 - 1/180*w**6 - w + 11/36*w**3 + 1/120*w**5 + 1/3*w**2. Factor c(j).
-(j - 4)*(j + 1)**3/6
Let v(y) = -71*y**2 - 3665*y - 10860. Let x(q) = -32*q**2 - 1832*q - 5432. Let r(s) = 4*v(s) - 9*x(s). What is w in r(w) = 0?
-454, -3
Let z = -2126570/3 + 708858. Let 0 + 0*j - z*j**4 - 2/3*j**3 + 0*j**2 = 0. Calculate j.
-1/2, 0
Let k(p) be the first derivative of 2/5*p**4 - 4/5*p**2 + 26/15*p**3 + 0*p - 26/25*p**5 - 135. Determine h so that k(h) = 0.
-1, 0, 4/13, 1
Let m be (-3 + 5)/((-1)/1) - -10. Let j = 11 - m. Factor 26*r + 25*r + 5*r**j - 51*r.
5*r**3
Let f(s) be the third derivative of -12*s**2 + 5*s - 2/5*s**3 - 2/15*s**5 - 13/30*s**4 + 0. Suppose f(h) = 0. Calculate h.
-1, -3/10
Let a(y) be the third derivative of -3*y**8/448 - 5*y**7/28 - 113*y**6/160 - 3*y**5/40 + 29*y**4/8 + 7*y**3 - 482*y**2. What is w in a(w) = 0?
-14, -2, -1, -2/3, 1
Suppose 292*n**3 - 32*n**2 - 149*n**3 - 220*n - 139*n**3 - 250*n**2 + 66*n**2 = 0. What is n?
-1, 0, 55
Suppose 9*p - 16 = -73*p + 394. Let x(a) be the second derivative of -3/13*a**2 + 0 + 0*a**p + 1/195*a**6 + 11*a - 8/39*a**3 - 1/13*a**4. Factor x(n).
2*(n - 3)*(n + 1)**3/13
Suppose 24 = 20*o - 14*o. Suppose -10*f - 5*f**5 - 32 + 0*f**4 - 62*f + 44*f**2 + 3*f**o + 62*f**3 = 0. Calculate f.
-2, -2/5, 1, 4
Let a = 20910 - 20908. Suppose -12/7*h**3 - 2/7*h**4 + 0 - 18/7*h**a + 0*h = 0. Calculate h.
-3, 0
Suppose 52 = -3*d + 4*n, -d + 15*n = 20*n + 11. Let m be ((-12)/(-18))/(d/(-6))*2. Determine i so that m*i**2 - 2*i + 3/2 = 0.
1, 3
Determine u so that -443*u + 120*u**3 - 14*u**4 - 8*u**4 + 47*u + 6*u**3 + 25*u**4 - 273*u**2 = 0.
-44, -1, 0, 3
Let a be (-2)/6 - 2007/(-27). Let a*w**2 - 6*w**3 + 53*w**2 - 153*w**2 - 8*w = 0. Calculate w.
-4, -1/3, 0
Let 96*t - 259*t - 478*t**2 + 479*t**2 + 25281 - 155*t = 0. What is t?
159
Let w = 869 + -312839/360. Let q(h) be the third derivative of 0*h**3 + 0 + w*h**5 + 0*h - 13*h**2 + 1/1260*h**7 - 1/360*h**6 + 0*h**4. Let q(j) = 0. What is j?
0, 1
Suppose 5*z - 263*w = -258*w - 5, -4*w = z - 19. Factor 1/5*m**4 + 0*m - 3/5*m**z + 2/5*m**2 + 0.
m**2*(m - 2)*(m - 1)/5
What is k in 266*k - 674*k - 2*k**2 - 549*k + 21*k - 3732*k = 0?
-2334, 0
Let y(p) be the third derivative of 8/3*p**3 - 1 + 1/15*p**5 + 2/3*p**4 + 0*p + 27*p**2. Solve y(d) = 0 for d.
-2
Let w(o) = -9*o**2 - 333*o + 1000. Let p(d) = 2*d**2 + 24*d. Let u(f) = 7*p(f) + w(f). Suppose u(j) = 0. What is j?
8, 25
Let s(y) be the second derivative of 5*y**7/42 - 2*y**6 + 5*y**5/2 + 5*y**4 - 55*y**3/6 - 53*y + 2. Find n such that s(n) = 0.
-1, 0, 1, 11
Find g, given that 205*g**3 - 939*g**2 + 244*g**3 + g**5 + 17412*g**4 - 17481*g**4 + 558*g = 0.
0, 1, 3, 62
Factor -92535 + 1156*y - 4*y**3 + 376*y**2 + 93711 + 400*y.
-4*(y - 98)*(y + 1)*(y + 3)
Let k(l) = 518*l - 3 + 0 - 1039*l + 2*l**2 + 521*l. Let b(n) = -10*n**2 - 22*n - 24. Let j(o) = -b(o) - 4*k(o). Let j(h) = 0. What is h?
-9, -2
Determine y, given that 1/4*y**2 + 123/4*y - 125/2 = 0.
-125, 2
Let i(d) = 393*d**2 - 516*d - 549. 