5/2*w + 101/6*w**2 - 1/3*w**3 + 27 = 0. Calculate w.
-3, -1/2, 54
Let w(o) be the second derivative of -8/21*o**3 - 6 + 25*o - 15/7*o**2 - 1/42*o**4. Factor w(t).
-2*(t + 3)*(t + 5)/7
Suppose 7*b + 172 - 186 = 0. Let i be (244/549)/(b/9). Factor 0 + 2/13*w**i - 14/13*w.
2*w*(w - 7)/13
Suppose 33 - 15 = 6*q. Suppose -2*p - 5*b - 17 = 0, q*p - 2*b + 5*b = -3. Find t such that 2*t + 4*t**3 - 1 - 6*t**2 + 2*t - 12*t**4 + 11*t**p = 0.
1
Let y(i) be the third derivative of -3*i**4 + 0 + 1/60*i**5 + 0*i + 216*i**3 + 103*i**2. Solve y(v) = 0.
36
Suppose 0 = -71*b - 614 + 898. Let x(k) be the first derivative of -36 + 5/6*k**b + 0*k - 14/3*k**3 + 49/9*k**2 - 2/45*k**5. Factor x(a).
-2*a*(a - 7)**2*(a - 1)/9
Factor -15/2*b**2 - 20 - 27*b - 1/2*b**3.
-(b + 1)*(b + 4)*(b + 10)/2
Let g = 396/7 - 1959/35. Let -g*b**3 - 12/5*b + 0 - 3*b**2 = 0. What is b?
-4, -1, 0
Factor -28*z**2 + 0 + 55*z + 1/4*z**3.
z*(z - 110)*(z - 2)/4
Let r(j) be the second derivative of j**7/252 - 7*j**6/180 - 7*j**5/12 + 113*j**4/36 + 295*j**3/12 - 825*j**2/4 + 2776*j. Suppose r(z) = 0. Calculate z.
-5, 3, 11
Let -74/9*h - 28/9 + 2*h**2 + 74/9*h**3 + 10/9*h**4 = 0. What is h?
-7, -1, -2/5, 1
Suppose h - 131 = -4*d, 2*d - 3*d - 3*h = -30. Suppose -22 + 5*a**2 + 10*a**2 - 1908*a + 1932*a + 16 - d = 0. Calculate a.
-13/5, 1
Let j(g) = -3*g**3 + 41*g**2 - 182*g - 440. Let m(i) = 5*i**3 - 40*i**2 + 190*i + 440. Let o(b) = -5*j(b) - 4*m(b). Let o(p) = 0. Calculate p.
-11, -2, 4
Factor -2/5*t**3 + 0 - 206/5*t**2 + 0*t.
-2*t**2*(t + 103)/5
Suppose 60 = 4*n + 300. Let o be (-6)/(-4)*n/(-18). Determine i, given that -50*i**2 - 5 - 22*i**4 - 50*i**3 - 3*i**4 + 0*i**4 - 25*i - o*i**5 = 0.
-1
Let j(p) be the first derivative of p**8/420 + p**7/210 + p**3/3 - 15*p**2/2 - 99. Let a(k) be the third derivative of j(k). Solve a(h) = 0 for h.
-1, 0
Let r(d) be the first derivative of d**5/5 + 21*d**4/4 - 163*d**3/3 - 21*d**2/2 + 162*d - 6034. Determine s so that r(s) = 0.
-27, -1, 1, 6
Let b(o) = o + 7. Let i be b(0). Let z(m) = 7 + m - i + 0. Let u(t) = 2*t**2 - 14*t + 4. Let s(w) = -u(w) - 8*z(w). Factor s(g).
-2*(g - 2)*(g - 1)
Let o(r) be the second derivative of r**6/20 - 27*r**5/20 - 7*r**4/4 - 157*r**2/2 - 3*r - 13. Let t(g) be the first derivative of o(g). Factor t(u).
3*u*(u - 14)*(2*u + 1)
Let u(o) = -o**3 - 15*o + 18. Let d be u(0). Let y be d/(-6)*-6*(-4)/(-36). Let -12/13*f**y - 12/13 + 22/13*f + 2/13*f**3 = 0. Calculate f.
1, 2, 3
Factor -1/11*m**2 - 233289/11 - 966/11*m.
-(m + 483)**2/11
Let f(z) = -4*z**2 - 16*z + 8. Let p(x) = x**2 - 1. Suppose -5*r = 15 - 45. Suppose 34 + r = -5*c. Let q(u) = c*p(u) - f(u). Suppose q(v) = 0. What is v?
0, 4
Let n be 127708/(-14716) + -1 + 10. Let m = n - 4/283. Factor 0 - 2/13*k - 2/13*k**3 - m*k**2.
-2*k*(k + 1)**2/13
Suppose 0 = -2*a - 3*x - 24, 1075*x = 3*a + 1071*x - 49. Factor -5*w - a*w**3 - 3/2 - 6*w**2 - 1/2*w**4.
-(w + 1)**3*(w + 3)/2
Factor 315*l**2 + 689*l**4 - 195*l**3 + 685*l**4 - 1384*l**4.
-5*l**2*(l + 21)*(2*l - 3)
Let d be (-5 - -3) + 25 + 8 + -7. Let s(b) be the first derivative of -d - 4/15*b**5 + 7/9*b**3 - 1/3*b**2 + 5/12*b**4 + 0*b. Factor s(p).
-p*(p - 2)*(p + 1)*(4*p - 1)/3
Let r(f) be the second derivative of 3*f**6/20 + 177*f**5/40 + 43*f**4/4 - 19*f**3 - 54*f**2 - 105*f - 7. Let r(a) = 0. Calculate a.
-18, -2, -2/3, 1
Let a(u) be the third derivative of u**7/70 + u**6/40 - 9*u**5/40 + u**4/4 + 98*u**3/3 - 59*u**2 + 1. Let t(s) be the first derivative of a(s). Factor t(y).
3*(y - 1)*(y + 2)*(4*y - 1)
Let t(g) = 235*g + 36427. Let v be t(-155). Let -2/17*w**v + 0 - 2/17*w = 0. Calculate w.
-1, 0
Let n = -1002120 + 1002124. Determine f, given that -10377/2*f**3 + 17011/2*f**2 - 420*f**n - 8*f**5 - 6507/2*f + 729/2 = 0.
-27, 1/4, 1
Suppose 6*s = 4*s - 12. Let m be ((12/6)/6)/((-1)/s). Factor -28*y**2 + 12*y**3 - m*y**5 + 22*y + y**4 - 18 + 12 + 2*y**4 - y**4.
-2*(y - 1)**4*(y + 3)
Suppose 151*i - 147*i = -80. Let t be 1 + -5 + 26 + i. Factor 0 + 10*v**3 - 14/3*v**4 + 0*v + 2/3*v**5 - 6*v**t.
2*v**2*(v - 3)**2*(v - 1)/3
Let h(l) be the first derivative of -256/9*l**2 + 4/45*l**5 + 8/9*l**4 - 1024/9*l + 15 + 0*l**3. Solve h(x) = 0 for x.
-4, 4
Solve -4917*b + 2933*b**2 + 585*b**3 + 11456 - 589*b**3 - 85*b**2 + 16357*b = 0 for b.
-2, 716
Let m(i) = -31*i + 264. Let w be m(11). Let r be (21/(-9))/(w/99). Determine n so that 1/4*n**2 + 1/8*n - 1/8*n**r - 1/4 = 0.
-1, 1, 2
Let n(q) be the first derivative of -q**3/5 - 579*q**2/10 + 1630. Suppose n(d) = 0. Calculate d.
-193, 0
Let q be 12/5 - -14*6/(-210). Let w(y) be the first derivative of -1/27*y**3 - 16 - 1/18*y**q + 2/3*y. Determine o, given that w(o) = 0.
-3, 2
Let u = -677225 - -677228. Find i such that -u + 25/4*i - 1/2*i**2 = 0.
1/2, 12
Let a = -1129 - -1133. Let o(k) be the second derivative of 1/6*k**3 + 16*k - 1/15*k**6 + 1/42*k**7 + 0 - k**2 + 1/3*k**a - 1/10*k**5. Factor o(g).
(g - 2)*(g - 1)**2*(g + 1)**2
Factor 5/3*a**3 - 180 + 45*a**2 - 20/3*a.
5*(a - 2)*(a + 2)*(a + 27)/3
Factor -24*q + 345*q**4 - 686*q**4 + 45*q**2 + 344*q**4 + 24*q**3 - 48.
3*(q - 1)*(q + 1)*(q + 4)**2
Let a be (-1776)/6*(-1)/(-8)*-10. Factor -24*q**2 + 2 + 2*q**4 + 16*q**2 - 49*q**2 - 195*q**2 - 536*q - 34*q**3 - a.
2*(q - 23)*(q + 2)**3
Let w(o) be the first derivative of o**3/3 - 18*o**2 + 3597. Suppose w(p) = 0. What is p?
0, 36
Let a(x) be the third derivative of 10*x**3 - 63*x**2 - 8/3*x**4 + 0*x + 1/15*x**5 + 0. Factor a(o).
4*(o - 15)*(o - 1)
Let z(r) be the third derivative of -19*r**7/1155 + 7*r**6/220 - r**5/165 + 55*r**2. Suppose z(d) = 0. What is d?
0, 2/19, 1
Let p = 11803/3690 - -1/738. Let k = -6/29 + 262/145. Factor p - k*m**3 + 4*m - 28/5*m**2.
-4*(m - 1)*(m + 4)*(2*m + 1)/5
Suppose 5*d + w = 11, -4*d - 9*w + 14*w = -61. Suppose -5*b**2 + 7/3*b - 1/3*b**d + 0 + 3*b**3 = 0. Calculate b.
0, 1, 7
Let k(s) = s**2 - 48*s + 153. Let o(i) = 3*i**2 - 143*i + 453. Let r(j) = 17*k(j) - 6*o(j). Factor r(l).
-(l - 39)*(l - 3)
Let u(s) be the first derivative of -9/4*s**2 - 1/12*s**3 + 151 - 81/4*s. Factor u(f).
-(f + 9)**2/4
Let i(h) be the first derivative of -5/3*h**3 + 5/2*h**2 - 5/4*h**4 + 32 + 2*h + 3/5*h**5. Determine x, given that i(x) = 0.
-1, -1/3, 1, 2
Let o be (-13 + -2)*(-17)/(78 - -7). Let a(m) be the first derivative of 1/36*m**6 - 343/18*m**o + 0*m + 0*m**2 + 10 - 7/10*m**5 + 49/8*m**4. Factor a(n).
n**2*(n - 7)**3/6
Let z(v) be the second derivative of v**6/135 + 11*v**5/15 + 1213*v**4/54 + 1364*v**3/9 + 3844*v**2/9 - 45*v + 12. Let z(p) = 0. Calculate p.
-31, -2
Let k(c) = -c**3 - 8*c**2 + 18*c - 18. Let q be k(-10). Determine x, given that 16*x**4 + 24*x**q - 76*x**3 - 60*x**3 + 6*x**4 = 0.
0, 2/11, 6
Factor 2/7*m**3 + 2400/7*m - 130/7*m**2 - 9000/7.
2*(m - 30)**2*(m - 5)/7
Let j(q) = -345*q**3 + 225*q**2 + 1377*q + 1470. Let b(f) = 21*f**3 - 14*f**2 - 86*f - 92. Let w(n) = -33*b(n) - 2*j(n). Factor w(r).
-3*(r - 8)*(r + 2)**2
Let a(i) be the third derivative of i**7/1680 - 37*i**6/240 - 83*i**4/24 + i**2 - 183. Let n(g) be the second derivative of a(g). Factor n(h).
3*h*(h - 74)/2
Suppose 162*s + 17579 = 17579. Suppose 24/11*h + s - 26/11*h**2 + 2/11*h**3 = 0. Calculate h.
0, 1, 12
Let h(g) = 3*g**2 - 66*g + 6. Let j(a) = 27*a - 4. Let c(n) = -19*n + 3. Let f(u) = 7*c(u) + 5*j(u). Let m(o) = 6*f(o) - h(o). Suppose m(v) = 0. What is v?
0, 26
Suppose 60 = 3*j + 54. Solve -958*k**2 + 6845 + 370*k + 479*k**j + 484*k**2 = 0.
-37
Let d(x) be the third derivative of -x**8/5040 + x**7/1260 + x**6/270 - x**5/45 + 2*x**3/3 + 10*x**2. Let l(i) be the first derivative of d(i). Solve l(f) = 0.
-2, 0, 2
Let q(j) be the first derivative of 159 - 4/7*j**3 - 18/7*j**2 + 2/35*j**5 - 1/42*j**6 + 11/28*j**4 + 0*j. Factor q(k).
-k*(k - 3)**2*(k + 2)**2/7
Factor 4170*n**3 - 3*n**4 - 5762988 + 4362954*n - 1457391*n**2 + 81219*n + 1335447*n.
-3*(n - 693)**2*(n - 2)**2
Let x(c) = c**2 - 3*c. Let o(t) = 3*t**2 - 779*t + 1542. Let y(a) = 3*o(a) - 6*x(a). Determine h so that y(h) = 0.
2, 771
Suppose 1154 = 2*j + 4*s - 5*s, -j - 5*s + 577 = 0. Let m = j + -574. Factor 1/6*c**2 + 0*c - 1/6*c**4 + 0 + 0*c**m.
-c**2*(c - 1)*(c + 1)/6
Let u = -1082006 + 1082006. Let 4/23*x**2 + 14/23*x**3 + u - 8/23*x**5 + 8/23*x**4 + 0*x = 0. Calculate x.
-1/2, 0, 2
Factor -3/7*j**2 + 3852/7*j - 1236492/7.
-3*(j - 64