+ 28*g - 126 = 0. Suppose g*a - 6*a + 11 = 5*y, 5*a + 11 = -y. What is s in 22/15*s**3 + 22/15*s**y + 2/15*s**2 + 0 + 2/5*s**5 - 4/15*s = 0?
-2, -1, 0, 1/3
Let j(t) = 14*t**2 + 8684*t - 3127709. Let q(w) = 37*w**2 + 21712*w - 7819273. Let v(d) = -13*j(d) + 5*q(d). Find b such that v(b) = 0.
722
Let v(u) = -u**3 - 179*u**2 - 744*u - 167. Let f be v(-4). Let -3/5*c**3 + f*c + 18/5*c**2 + 24/5 = 0. What is c?
-1, 8
Let v(g) = -3*g**2 - 45*g + 50. Let f be v(-16). Factor p**4 + 562*p - f*p**3 + 12*p**2 - 562*p - 3*p**4.
-2*p**2*(p - 2)*(p + 3)
Suppose -2*g - 2*z = 47042, 6716 + 87332 = -4*g + 5*z. Let d = 305883/13 + g. Suppose 36/13*s - 2/13*s**2 - d = 0. What is s?
9
Let z be (1 + (-7 + (4 - 3) - -5))/(-3). Factor z - 4/7*k**2 - 20/7*k.
-4*k*(k + 5)/7
Let w be (16/(-280) + 1296/630 + -2)/4. Solve 0*s**3 + 1/5*s**5 + 0*s + 0*s**4 + 0 + w*s**2 = 0 for s.
0
Suppose 4*o**5 - 1479*o**3 + 4264*o**3 + 2119*o**3 + 8820*o - 24976*o**2 - 179*o**4 - 133*o**4 + 161896 = 0. What is o?
-2, 7, 59
Let r(q) be the second derivative of q**7/11340 - q**6/1080 + 6*q**4 - 9*q - 4. Let v(w) be the third derivative of r(w). Determine d so that v(d) = 0.
0, 3
Let x(o) be the first derivative of 57 + 47*o - o**3 - 47*o + 36*o**2 + 10. Factor x(i).
-3*i*(i - 24)
Let f be -3*((-42)/9 - -4). Suppose -12 = -4*k - f*m, -4*k = -2*k + 2*m - 2. Factor -k*a**4 + 6*a**3 + 20*a**2 - 20*a + 0*a**3 - a**3.
-5*a*(a - 2)*(a - 1)*(a + 2)
Let i = 683/2317 - 3/331. Let c(j) be the first derivative of 6 - i*j**2 - 1/21*j**3 - 4/7*j. Factor c(m).
-(m + 2)**2/7
Let z be 2*10/(-4) + 0. Let l be (2 - 5/z) + 61. Determine o, given that -16*o + 4*o**4 + 0*o**3 + 12*o**4 - 52*o**3 + l*o**2 - 4*o**4 = 0.
0, 1/3, 2
Suppose -4*r + p - 2*p = -541, 2*r = 2*p + 268. Let n be (-11 + -1)/(r/(-10)). Factor -n - 64/9*m**2 + 56/9*m**3 + 4/9*m**5 + 4*m - 8/3*m**4.
4*(m - 2)*(m - 1)**4/9
Suppose -75*m + 4265 = -2485. Let j be ((m/4)/9)/(10/6). Factor -3/2*l - j*l**2 + 3.
-3*(l - 1)*(l + 2)/2
Let u(b) be the first derivative of 5*b**4/4 - 250*b**3 + 12870*b**2 + 182520*b - 7472. Let u(m) = 0. Calculate m.
-6, 78
Suppose -2*p = -3*z + 26, 37 = 5*z - 0*p + 3*p. Suppose 14*s - 18*s = -z. What is r in -2*r**2 + 6*r**2 + s*r**3 + 2*r**2 = 0?
-3, 0
Let z(l) be the third derivative of 3/80*l**6 + 1/2688*l**8 + 0*l**3 + 0 - 3*l**2 - 9/80*l**5 - 1/168*l**7 - 15*l + 9/64*l**4. Factor z(x).
x*(x - 3)**3*(x - 1)/8
Let u(o) be the second derivative of 7*o**4/54 - 89*o**3/27 + 280*o**2/9 - 2497*o. Factor u(x).
2*(x - 7)*(7*x - 40)/9
Let m(j) = 9*j - 493. Let x be m(55). Let i be (-8*5/15)/(44/(-66)). Factor 1/2*r**3 - 2 + i*r - 5/2*r**x.
(r - 2)**2*(r - 1)/2
Let n(o) be the first derivative of 16/5*o**5 + 108*o - 66 + 11*o**4 - 198*o**2 - 52*o**3. Let n(h) = 0. Calculate h.
-3, 1/4, 3
Let c(h) be the second derivative of 11*h**7/140 + 31*h**6/80 - 3*h**5/20 + 92*h**2 - 171*h. Let o(d) be the first derivative of c(d). Factor o(w).
3*w**2*(w + 3)*(11*w - 2)/2
Let t(q) = -10*q**3 - q**2 + 1. Let d be t(-1). Let a = -5 + d. Determine z so that 2*z - 5*z - 2*z**a - 2*z**5 + z**5 + 6*z**3 = 0.
-1, 0, 1
Let j(y) be the second derivative of -1331/4*y**2 - 2057/24*y**3 + 8*y - 7/16*y**5 - 1/120*y**6 + 3 - 143/16*y**4. Factor j(i).
-(i + 2)*(i + 11)**3/4
Factor -66 + 15*z**3 + 20*z**2 + 176*z**4 + 66 - 181*z**4.
-5*z**2*(z - 4)*(z + 1)
Let o be -4227*((-6)/20 - 33/990). Let k = o - 11269/8. Solve 21/8 - 3*q + k*q**2 = 0 for q.
1, 7
Let d(u) be the second derivative of 11*u**5/140 + 5*u**4/8 + 3*u**3/7 + 229*u**2/2 + 195*u + 1. Let l(o) be the first derivative of d(o). Factor l(i).
3*(i + 3)*(11*i + 2)/7
Let p be (-980)/(-300) + (-6)/10. Let a(u) be the first derivative of 6*u**4 + p*u**3 - 2/3*u**6 - 10*u**2 - 19 + 4/5*u**5 - 12*u. Determine l so that a(l) = 0.
-1, 1, 3
Let z(w) be the first derivative of 170 + 2/21*w**3 + 0*w + 23/7*w**2. Suppose z(f) = 0. Calculate f.
-23, 0
Let l(d) be the second derivative of d**5/80 - 97*d**4/16 - 147*d**3/4 + 3*d + 165. Suppose l(r) = 0. Calculate r.
-3, 0, 294
Let r be 182/(-1122) + (-20)/40 + 30/44. Let u(q) be the first derivative of r*q**6 - 7 + 0*q - 10/51*q**3 + 2/85*q**5 - 3/34*q**4 - 2/17*q**2. Factor u(i).
2*i*(i - 2)*(i + 1)**3/17
Let z(a) be the second derivative of a**6/180 - a**5/15 + 13*a**4/72 - a**3/6 - 2*a + 603. Solve z(r) = 0.
0, 1, 6
Let p(q) = -193*q**2 + 322*q - 8. Let j(d) = -120*d**2 + 215*d - 5. Let m(y) = -8*j(y) + 5*p(y). Determine x so that m(x) = 0.
-22, 0
Suppose 11881/3 + 221/6*r**3 + 4179/2*r**2 + 1/6*r**4 + 36079/6*r = 0. Calculate r.
-109, -2, -1
Let n(t) be the third derivative of -361*t**7/735 + 133*t**6/60 + 44*t**5/21 + 4*t**4/7 + t**2 + 545*t + 2. Solve n(j) = 0.
-4/19, 0, 3
Let c = -26 + 50. Find y such that 63*y**2 - c*y**3 - 10*y**4 - y**4 + y**2 + 7*y**4 + 0*y**4 = 0.
-8, 0, 2
Let g(b) = b**3 + 15*b**2 - 30*b + 6. Let f(l) = 3*l**3 + 31*l**2 - 60*l + 15. Let a(i) = -2*f(i) + 5*g(i). Factor a(h).
-h*(h - 10)*(h - 3)
Let b be 2/(5/10*1). Suppose 0 = -b*z + 4*k + 12, 6*k - 19 = -z + 3*k. Solve 0*c**3 + c**3 - z*c + 5*c + c**2 = 0.
-2, 0, 1
Let o(n) be the first derivative of -15*n**2 + 0*n - 3/4*n**4 + 10 + 7*n**3. Factor o(l).
-3*l*(l - 5)*(l - 2)
Factor 2*v - 10*v**3 + 143*v - 295*v - 60*v**2 - 35*v**2.
-5*v*(v + 2)*(2*v + 15)
Let x(v) be the second derivative of 3*v**5/40 + 5*v**4/4 - 25*v - 30. Find j such that x(j) = 0.
-10, 0
Determine j so that 0 + 0*j - 304/5*j**3 + 28/5*j**5 + 40*j**2 - 1394/5*j**4 = 0.
-1/2, 0, 2/7, 50
Let p(u) = u**3 + 50*u**2 + 5. Let d be p(-50). Let i(h) be the second derivative of 4/7*h**2 + 1/70*h**d + 8/21*h**3 + 5/42*h**4 + 19*h + 0. Factor i(w).
2*(w + 1)*(w + 2)**2/7
Let d(j) be the third derivative of -j**6/120 + 7*j**5/30 - j**4 + 5824*j**2. Let d(t) = 0. Calculate t.
0, 2, 12
Factor 0*p + 53*p + 2*p**3 - 181 + 229 - p + 18*p**2.
2*(p + 2)*(p + 3)*(p + 4)
Let q be (2190/(-7884))/((60/9)/(-4)). Suppose 2/3 + 1/3*f**3 - 1/2*f**2 - 2/3*f + q*f**4 = 0. Calculate f.
-2, 1
Let k(t) be the first derivative of 17*t**6/1080 - 4*t**5/45 - t**4/18 + 4*t**3/3 - 56. Let o(u) be the third derivative of k(u). Factor o(j).
(j - 2)*(17*j + 2)/3
Find u such that 198 + 5*u**5 - 1255*u**4 - 7630*u**2 - 4351*u - 5070*u**3 - 1473 - 744*u = 0.
-1, 255
Let 0 - 256/3*n + 64/3*n**2 + 4/3*n**3 - 1/3*n**4 = 0. Calculate n.
-8, 0, 4, 8
Let p(a) = -1354*a - 54157. Let d be p(-40). Suppose 0 + 4/3*q**d - 2/3*q**4 + 0*q + 0*q**2 - 2/3*q**5 = 0. Calculate q.
-2, 0, 1
Let n = 501019/7 + -71572. Determine m, given that 3/7*m**3 - 48/7 - n*m**2 - 66/7*m = 0.
-2, -1, 8
Let a(m) = 79*m**2 - 26*m**2 + 2 - 17*m**2 - 5 + 27*m + 45*m. Let r(c) = c**2 - 3. Let l(g) = -a(g) - 3*r(g). Find i such that l(i) = 0.
-2, 2/13
Let l = 28 + -47. Let k = 25 + l. Let o(u) = 3*u**5 + 9*u**3 - 6*u**2. Let r(s) = 3*s**5 - s**4 + 8*s**3 - 5*s**2. Let z(t) = k*r(t) - 5*o(t). Factor z(w).
3*w**3*(w - 1)**2
Find v, given that 255 - 129 - 83 - 88 + 6*v + 3*v**2 = 0.
-5, 3
Let w(m) be the first derivative of -2*m**3/3 + 22*m**2 - 144*m - 503. Suppose w(q) = 0. What is q?
4, 18
Let b(j) be the third derivative of -j**6/1020 + 2*j**5/85 - 5*j**4/51 - 2*j**2 + 268*j. Factor b(o).
-2*o*(o - 10)*(o - 2)/17
Let r(i) = -5*i - 21. Let j be r(-5). Let f be 18/(-1 + j) - -4. Factor 15*c + f + 35*c**2 - 38*c - 12*c - 10*c**3.
-5*(c - 2)*(c - 1)*(2*c - 1)
Let u(o) be the first derivative of -o**4 + 212*o**3 + 968*o**2 + 1296*o + 2376. Factor u(d).
-4*(d - 162)*(d + 1)*(d + 2)
Let s(m) = -2*m**2 - 7*m + 9. Let u(y) = -572 + 3*y**2 + 553 + 6*y + 8*y. Let j(b) = 7*s(b) + 3*u(b). Factor j(c).
-(c + 2)*(5*c - 3)
Let v be 14 + 693/(-45) - (-249)/135. Let d(c) = -c - 2. Let k be d(-4). Factor v + 0*m - 1/9*m**k.
-(m - 2)*(m + 2)/9
Suppose -10*v - 20599 = -20639. Let n(k) be the second derivative of -18*k - 3/16*k**v + 1/4*k**3 + 0 - 1/8*k**2. Find z, given that n(z) = 0.
1/3
Suppose 2 + 70 = 3*u + 4*r, 2*u = r + 48. What is v in 6 + 261*v + u - 129*v**3 + 24 + 27*v**4 + 51*v**2 = 0?
-1, -2/9, 3
Suppose -9*u - 2*u + 42867 = 0. Determine t, given that -86*t**4 - 10*t + 46*t**3 + u + 29*t - 8*t**5 - 3941 + 87*t + 274*t**2 = 0.
-11, -1, 1/4, 2
Let p = 5 + -3. Suppose 31*g = 1033 + 517. Factor g - 59*b**2 + 64*b**p - 50*b + 75.
5*(b - 5)**2
Factor 0*t + 150 - 2/3*t**2.
-2*(t - 15)*(t + 15)/3
Let g