z - 1165. Find o such that j(o) = 0.
-252
Let p = 290 - 289. Let a be (p + -6 + (-36 - -41))/3. Find c such that 0 - 2/3*c**3 + a*c + 0*c**2 = 0.
0
Suppose -2*j + 15 = -3*g, -g = -2 + 5. Suppose -o = -4*o - j, -2*t + 4*o = -10. Factor 2/5*p**2 - 8/5 + 8/5*p - 2/5*p**t.
-2*(p - 2)*(p - 1)*(p + 2)/5
Let q(d) be the second derivative of d**5/90 - d**4/9 + d**3/3 - 57*d**2 + 56*d. Let f(y) be the first derivative of q(y). Factor f(i).
2*(i - 3)*(i - 1)/3
Let i(d) = -d**2 + 31*d - 15. Let u be i(24). Suppose -4*t**2 + 10041 + 295*t + 3773 + u*t + 8*t**2 - 1270 = 0. Calculate t.
-56
Let i(s) be the first derivative of 15*s**4 + 1/3*s**6 + 225*s**2 - 162*s + 6*s**5 + 131 - 380/3*s**3. Factor i(q).
2*(q - 1)**3*(q + 9)**2
Let s(n) = 26*n**2 + 2 + 2 - 4*n**2 - 16*n**2 + 9*n + 5*n**3. Let i(w) = -w**3 + w**2 - 1. Let b(o) = -20*i(o) - 5*s(o). Factor b(j).
-5*j*(j + 1)*(j + 9)
Let j(p) be the third derivative of 2*p**7/105 + 43*p**6/30 + 55*p**5/3 - 4375*p**4/6 + 4955*p**2. Let j(s) = 0. What is s?
-25, 0, 7
Let f be (-10)/18*(-3)/60. Let w(z) be the third derivative of 0 - 4*z**2 - f*z**3 - 1/360*z**5 + 0*z - 1/72*z**4. Determine c so that w(c) = 0.
-1
Let d(u) be the second derivative of -u**7/105 - 3*u**6/5 - 83*u**5/25 - 13*u**4/5 + 167*u**3/15 + 123*u**2/5 - 5*u + 164. Suppose d(a) = 0. Calculate a.
-41, -3, -1, 1
Let s be (6 + 2*30/(-8))*-8. Suppose 46*t - s*t = 102. Solve 0 + 0*p + 0*p**4 - 4/15*p**2 + 2/15*p**5 - 2/5*p**t = 0.
-1, 0, 2
Factor 0*g + 0 - 176*g**2 + 268/3*g**3 - 2/3*g**4.
-2*g**2*(g - 132)*(g - 2)/3
Let y be 2 - 1 - 1*-7. Let f be (y/(-10))/(30/(-75)). Suppose 7 - 2*z**f - 10*z**2 - 21*z - 1 = 0. Calculate z.
-2, 1/4
Let g(m) be the third derivative of m**7/420 - 11*m**6/240 + 43*m**5/120 - 23*m**4/16 + 3*m**3 + 208*m**2 + 8. Factor g(f).
(f - 4)*(f - 3)**2*(f - 1)/2
Solve 2/7*a**4 + 6/7*a - 4/7 - 6/7*a**3 + 2/7*a**2 = 0 for a.
-1, 1, 2
Let d(u) = -14*u**3 - u**2 + 19*u + 20. Let l(c) = 12*c**3 - 20*c - 16. Let v(p) = 4*d(p) + 5*l(p). Factor v(s).
4*s*(s - 3)*(s + 2)
Let g(q) be the first derivative of 28*q**2 - 8/3*q**3 + 102 - 32*q - 3/2*q**4. Determine h so that g(h) = 0.
-4, 2/3, 2
Determine j, given that 52/3*j**5 - 100/3*j**3 + 80/3*j**4 + 16*j + 0 - 80/3*j**2 = 0.
-2, -1, 0, 6/13, 1
Let m(n) be the third derivative of 5*n**8/112 - 11*n**7/35 + 23*n**6/40 + 7*n**5/10 - 7*n**4/2 + 4*n**3 + n**2 + 406. What is i in m(i) = 0?
-1, 2/5, 1, 2
Let f be ((-6)/(-4))/(7/210). Let d be -9 + 1 + 378/f. Suppose d + 6/5*p**2 - 8/5*p = 0. Calculate p.
1/3, 1
Let y(r) be the first derivative of 2*r**5/5 - 53*r**4 - 216*r**3 - 326*r**2 - 218*r - 134. Factor y(d).
2*(d - 109)*(d + 1)**3
Factor -1/2*d**2 + 29/2*d + 31.
-(d - 31)*(d + 2)/2
Let p(k) = -k**2 - k. Let n(j) = 2*j**2 + 26*j - 16. Let r(c) = -c**2 + c + 1. Let m be r(1). Suppose 17*h - 68 = 34. Let i(b) = h*p(b) + m*n(b). Factor i(x).
-4*(x - 4)*(x - 1)
Let t(n) = n**2 - 34*n + 657. Let d(c) = -c**2 + 32*c - 661. Let w(v) = -8*d(v) - 9*t(v). Factor w(j).
-(j - 25)**2
Let u be (-33668)/(-152) + -2*(2 - -3). Factor -273/2*n + 45/2 - 27/2*n**3 + u*n**2.
-3*(n - 15)*(3*n - 1)**2/2
Let y(i) be the second derivative of -2*i**6/195 - 33*i**5/130 + 17*i**4/13 + 133*i**3/39 + 1720*i - 2. Find d, given that y(d) = 0.
-19, -1, 0, 7/2
Suppose -148*x - 24 = -140*x. Let d(s) = -5*s**2 - 13*s - 5. Let q(w) = 10*w**2 + 25*w + 10. Let g(p) = x*q(p) - 5*d(p). Factor g(m).
-5*(m + 1)**2
Let c = -2643 + 63433/24. Let w(y) be the third derivative of 0*y**3 + 0*y + 16*y**2 - 1/42*y**7 + 0 + 0*y**4 + 1/6*y**5 + c*y**6. Solve w(u) = 0.
-1, 0, 2
Let u(g) = -20*g - 20. Let k be u(-1). Suppose k = -r + 6*r + 3*r. Determine m so that -2/23*m**2 + r + 0*m = 0.
0
Let 1400*v**2 - 309/2*v - 1250*v**3 + 9/2 = 0. Calculate v.
3/50, 1
Let p(i) = -24*i**2 + 2191*i + 2200. Let j(q) = -20*q**2 + 2192*q + 2200. Let h(w) = -5*j(w) + 4*p(w). Factor h(n).
4*(n - 550)*(n + 1)
Let 4141442/9 + 2/9*g**2 - 5756/9*g = 0. Calculate g.
1439
Factor 398/3*t**3 + 79994/3*t**2 + 104544 + 105072*t + 1/6*t**4.
(t + 2)**2*(t + 396)**2/6
Let r(c) be the third derivative of -c**6/3060 + c**5/340 - c**4/102 - 65*c**3/3 + 10*c**2 - 4*c. Let x(h) be the first derivative of r(h). Factor x(p).
-2*(p - 2)*(p - 1)/17
Let -18*n - 56/3*n**2 - 2/3*n**3 + 0 = 0. What is n?
-27, -1, 0
Let v(z) be the first derivative of z**6/18 - z**5/15 - 2*z**4/3 + 8*z**3/9 + 8*z**2/3 - 16*z/3 - 724. Let v(p) = 0. Calculate p.
-2, 1, 2
Factor -75904*t**2 - 19800*t + 19602000 - 75901*t**2 + 151810*t**2.
5*(t - 1980)**2
Suppose 500/7*h + 1032/7*h**2 - 768/7 - 496/7*h**3 - 4/7*h**5 - 264/7*h**4 = 0. What is h?
-64, -3, -1, 1
Let v(m) be the second derivative of -29/110*m**5 - 1/33*m**3 + 4/55*m**6 - 2/11*m**2 - 40*m + 0 + 10/33*m**4. Suppose v(d) = 0. What is d?
-1/4, 2/3, 1
Let t(b) = 15*b**4 + 24*b**3 - 423*b**2 + 396*b - 12. Let d(w) = -14*w**4 - 22*w**3 + 424*w**2 - 398*w + 10. Let y(q) = -6*d(q) - 5*t(q). Factor y(f).
3*f*(f - 1)*(f + 8)*(3*f - 17)
Let -8*q**3 + 1/2*q**5 - 33/2*q + 19*q**2 + 0*q**4 + 5 = 0. What is q?
-5, 1, 2
Let f be -18 - -9 - 946/(-104). Let x = 83/52 - f. Factor 1/4*a**2 + 1/4*a - x.
(a - 2)*(a + 3)/4
Let s be 77/((-1386)/180) + (-376)/(-30). Find d, given that -s*d + 8/3 - 2/15*d**2 = 0.
-20, 1
Let n(j) be the first derivative of -3*j**5/35 + 51*j**4/4 - 114*j**3/7 - 102*j**2 + 1416*j/7 - 3100. Solve n(r) = 0 for r.
-2, 1, 2, 118
Let p(m) = 2971*m - 2967. Let o be p(1). Solve 0 + 6*l**3 + 0*l + 18*l**2 + 1/2*l**o = 0 for l.
-6, 0
Let u(o) = 2*o**3 + o**2 + o. Let x be ((-2)/4 + 0)/((-83)/166). Let d(k) = -7*k**3 + 16*k**2 - 29*k + 12. Let q(g) = x*d(g) + 2*u(g). Factor q(i).
-3*(i - 4)*(i - 1)**2
Solve -48/7*o**4 - 18*o**3 + 0 - 3/7*o**5 - 120/7*o**2 - 39/7*o = 0.
-13, -1, 0
Let k(s) be the third derivative of -53*s**2 - 19/20*s**5 + 0*s + 1/120*s**6 + 2 + 0*s**3 - 29/12*s**4. Find t such that k(t) = 0.
-1, 0, 58
Let z(j) = -5*j - 52. Let d be z(-11). Suppose u - 3*u = -8. Find b such that -4*b**d + 104*b**4 + 4*b - b**3 - 108*b**4 + b**3 + u*b**2 = 0.
-1, 0, 1
Let g(d) be the first derivative of -2*d**3/15 + 271*d**2/5 + 12079. Suppose g(a) = 0. Calculate a.
0, 271
Let t(s) be the first derivative of 3*s**4/4 - 290*s**3 + 4287*s**2/2 - 3420*s - 6706. Factor t(i).
3*(i - 285)*(i - 4)*(i - 1)
Let p be (149 + -182)/(-3) - ((-8)/(-3) - -1). Factor -p*i**2 - 2/3*i**4 - 4*i - 4*i**3 + 0.
-2*i*(i + 1)*(i + 2)*(i + 3)/3
Let t be 11 - (-16)/((-64)/12). Suppose -47*k + 49*k - t = 0. Suppose -2/5*q**k + 0*q**3 + 0*q + 4/5*q**2 - 2/5 = 0. Calculate q.
-1, 1
Factor 3/4*y**3 + 57/4 - 111/4*y + 51/4*y**2.
3*(y - 1)**2*(y + 19)/4
Let a(t) be the second derivative of -t**4/12 + 1373*t**3/6 - 686*t**2 - 6*t - 149. Solve a(n) = 0 for n.
1, 1372
Let v(y) = -y**3 - y**2 - y. Suppose 26*p + 20 = 21*p. Let i(b) = 221*b**3 + 251*b**2 + 27*b + 1. Let s(z) = p*v(z) + i(z). Factor s(l).
(l + 1)*(15*l + 1)**2
Let z(r) = 3*r**3 - 1028*r**2 + 2935*r + 3911. Let u(n) = -n**3 + 206*n**2 - 585*n - 782. Let t(f) = 11*u(f) + 2*z(f). Suppose t(w) = 0. What is w?
-1, 4, 39
Let p(w) be the third derivative of -w**6/540 - 11*w**5/135 - 1915*w**2. Suppose p(y) = 0. Calculate y.
-22, 0
Suppose -52*o + 40*o = -36. Suppose 10 = a - 2*l, l = -7 + o. Factor -8/5*z - 4/5 - 4/5*z**a.
-4*(z + 1)**2/5
Let j(q) be the first derivative of q**4/28 + 95*q**3/21 - 97*q**2/7 + 2668. Factor j(h).
h*(h - 2)*(h + 97)/7
Let 0 - 19/4*y**3 + 0*y**2 + 0*y - 1/4*y**4 = 0. Calculate y.
-19, 0
Let t(j) = -4*j**2 + 108*j - 282. Let f(m) = 20*m**2 - 540*m + 1408. Let r(k) = -3*f(k) - 16*t(k). Let r(w) = 0. What is w?
3, 24
Let a be 10/12*(-6)/(-20). Let x be ((-3)/5)/(3069/930) - (-246)/264. Find j such that 0 - x*j**2 - a*j = 0.
-1/3, 0
Let g(n) be the second derivative of -17*n - 2/7*n**3 + 0 + 5/21*n**4 - 1/35*n**5 + 0*n**2 - 2/105*n**6. Factor g(c).
-4*c*(c - 1)**2*(c + 3)/7
Suppose -1145*v - 1171*v + 7885 - 937 = 0. Suppose -6/5*w + 0 - 3/5*w**4 - 12/5*w**v - 3*w**2 = 0. What is w?
-2, -1, 0
Let z be (-170)/1122*1296/(-135). Find b such that -40/11 + z*b + 2/11*b**2 = 0.
-10, 2
Suppose 286 - 70 = 54*j. Let h(r) be the second derivative of -1/6*r**3 - 11*r - 1/6*r**j + 0 + r**2 + 1/20*r**5. Solve h(x) = 0.
-1, 1, 2
Let f(t) be the first derivative of -2*t**3/15 - 637*t**2/5 + 1276*t/5 + 2452. Let f(p)