g**3*(g + 251)/4
Let c(s) be the third derivative of 220*s**2 + 0*s**3 + 0 + 1/40*s**6 + 17/8*s**4 - 9/10*s**5 + 0*s. Suppose c(z) = 0. Calculate z.
0, 1, 17
Let v(i) be the second derivative of -i**6/60 + 67*i**5/2 - 225119*i**4/12 + 74705*i**3 - 447561*i**2/4 + 13*i + 14. Factor v(x).
-(x - 669)**2*(x - 1)**2/2
Suppose 0*l**2 + 45/2*l**3 + 3/2*l**5 - 24*l**4 + 0*l + 0 = 0. Calculate l.
0, 1, 15
Solve 1/6*z**2 + 41*z - 247/6 = 0.
-247, 1
Let h be ((-407)/33)/((-6919)/1122). Factor 0*i + 0*i**3 - 4 + h*i**2 - 1/4*i**4.
-(i - 2)**2*(i + 2)**2/4
Let g(z) be the second derivative of -z**4/48 - 173*z**3/12 - 31*z - 5. Factor g(y).
-y*(y + 346)/4
Suppose 27*c - 3*r = 29*c + 2778, 5*c + 6950 = -5*r. Let y = c - -23666/17. Suppose 30/17*l + y*l**2 + 0 = 0. Calculate l.
-15, 0
Find s, given that 614/17 + 616/17*s + 2/17*s**2 = 0.
-307, -1
Suppose 4 = 4*c + 3*l - 4, 0 = c - l - 2. Let g(z) be the first derivative of 9/2*z**c + 2*z**3 + 1/4*z**4 + 8 + 4*z. Factor g(p).
(p + 1)**2*(p + 4)
Let y(a) be the first derivative of 0*a - 1/3*a**6 + 0*a**4 + 8/3*a**3 - 6/5*a**5 + 0*a**2 + 56. Factor y(b).
-2*b**2*(b - 1)*(b + 2)**2
Let g = -61214/3 + 20408. Let u(r) be the second derivative of 0 + 5/3*r**4 + 0*r**2 + 5/42*r**7 - g*r**3 + 33*r - 2/3*r**6 + 3/4*r**5. Let u(w) = 0. What is w?
-1, 0, 1, 2
Let r(h) be the first derivative of -5*h**3/3 - 60*h**2 - 720*h + 1738. Solve r(j) = 0.
-12
Let v(i) be the first derivative of 0*i - 1/12*i**6 - 78 + 0*i**5 - i**2 + 5/8*i**4 + 0*i**3. Find h such that v(h) = 0.
-2, -1, 0, 1, 2
Let k be 45/7*(16 - 9). Let -163*i**4 + k*i**5 + 95*i**3 - 79*i**4 - 15*i**2 + 77*i**4 = 0. What is i?
0, 1/3, 3
Solve 439/3*n + 47/4*n**3 + 98 + 145/2*n**2 - 1/12*n**4 = 0 for n.
-2, 147
Let d(t) = -5*t**3 - 26*t**2 + 4*t + 59. Let z(q) = 9*q**3 + 51*q**2 - 10*q - 118. Let s(o) = -11*d(o) - 6*z(o). Let p be s(19). Factor 0*r + 0 - 2/13*r**p.
-2*r**2/13
Let x(g) be the second derivative of g**4/36 + 106*g**3/9 - 144*g**2 - 2*g + 372. Suppose x(u) = 0. Calculate u.
-216, 4
Suppose 1057 - 1037 = 5*w. Let d be (-448)/42*w/((-84)/45). Factor -d*j**2 + 8/7 - 68/7*j - 12*j**3.
-4*(j + 1)**2*(21*j - 2)/7
Let r(q) be the second derivative of 0*q**2 + 1/3*q**3 + 0 - 11*q + 1/3*q**4 - 3/2*q**5 - 12/5*q**6. Factor r(b).
-2*b*(3*b + 1)**2*(4*b - 1)
Let l(u) be the first derivative of u**5/10 + 7*u**4/3 + 49*u**3/3 + 148*u - 68. Let b(m) be the first derivative of l(m). Find a, given that b(a) = 0.
-7, 0
Let -586756/9*v**2 - 1/9*v**4 + 1532/9*v**3 + 0*v + 0 = 0. What is v?
0, 766
Let y(c) = 6*c**2 + 1. Let t(x) = -13*x**2 + 1021*x + 201. Let o(s) = -t(s) - 3*y(s). Factor o(a).
-(a + 204)*(5*a + 1)
Let w be (2 + 0)/(2/3). Factor -10*u - 2 + 15 - 2*u**w - 23*u**2 + 3 - 5.
-(u + 1)*(u + 11)*(2*u - 1)
Let n(s) be the third derivative of -17/40*s**6 + 26*s**2 - 1/112*s**8 - 3/4*s**4 + 0*s + 1 + 17/20*s**5 + 1/10*s**7 + 0*s**3. Find d such that n(d) = 0.
0, 1, 2, 3
Let z(u) be the second derivative of -u**5/2 - u**4/3 + 5*u**3/3 + 2*u**2 - 8*u + 55. Suppose z(b) = 0. What is b?
-1, -2/5, 1
Let i(w) be the first derivative of w**3/3 + 18*w**2 - 37*w - 1188. Find v such that i(v) = 0.
-37, 1
Let c(d) be the second derivative of -1/90*d**6 - 1/2*d**2 + 1/30*d**5 + 1/9*d**4 + 0 + 2*d - 1/9*d**3. Factor c(i).
-(i - 3)*(i - 1)*(i + 1)**2/3
Let z be (18 + -19)/(2/2). Let i be z + 2 + -5 + 8. Solve 68*r**i + 0 + 2 - 69*r**4 - r**2 + 3*r**3 + 3*r - 6*r**3 = 0 for r.
-2, -1, 1
Let o = 1335 + -1287. Let y be (o/(-1296))/(4/(-18)). Find g, given that -11/3*g**3 + 15/2*g**2 + y - 4*g = 0.
1/22, 1
Let x(q) be the first derivative of q**3/9 + 35*q**2 - 211*q/3 - 1449. Let x(b) = 0. What is b?
-211, 1
Let c(t) be the first derivative of -t**3 + 0*t - 1/684*t**6 - 1/570*t**5 + 0*t**4 + 0*t**2 + 3. Let l(y) be the third derivative of c(y). Factor l(d).
-2*d*(5*d + 2)/19
Let o be (11/(-4) - 1)/(39/(-208)). Suppose -4*j + o = 8. Determine k, given that 7*k - j*k**2 + 7*k - 2*k = 0.
0, 4
Let u be ((-20)/(-6) + -2)/(20/780). Let s be (-35)/(-2)*u/1183. Factor -s*d**3 - 44/13*d**2 - 16/13*d + 0.
-2*d*(d + 4)*(5*d + 2)/13
Let o = -225819 + 2032373/9. Factor -2/9*a + o*a**3 + 0 - 1/3*a**2.
a*(a - 2)*(2*a + 1)/9
Let m(y) be the third derivative of y**6/40 + 1389*y**5/20 + 2775*y**4/8 + 1387*y**3/2 + 153*y**2 - y. Solve m(t) = 0.
-1387, -1
Let t(o) = -o**2 + 10*o - 4. Let d(u) be the first derivative of u**3/3 - 9*u**2/2 + 4*u - 33. Suppose -4*w + 45 = 5*w. Let z(c) = w*t(c) + 6*d(c). Factor z(q).
(q - 2)**2
Let f be (-4)/(0 - (0 - -1)). Suppose -5*r**2 - r**f - 155 + 2*r + 4*r**3 + 155 = 0. Calculate r.
0, 1, 2
Let b(y) be the second derivative of -2/5*y**4 + 1 + 0*y**2 - 4/25*y**5 + 1/75*y**6 + 0*y**3 + 1/105*y**7 - 32*y. Factor b(s).
2*s**2*(s - 3)*(s + 2)**2/5
Let c(z) be the first derivative of 1/2*z**3 + 0*z**2 - 112 - 1/16*z**4 + 0*z. Suppose c(k) = 0. Calculate k.
0, 6
Let q(j) be the second derivative of -169*j**6/10 + 26*j**5 + 147*j**4/8 + 9*j**3/2 + 133*j**2/2 + 58*j. Let r(z) be the first derivative of q(z). Factor r(f).
-3*(f - 1)*(26*f + 3)**2
Factor -4*b + 61 + 2*b**2 - 141 + 58*b - 25*b + 49*b.
2*(b - 1)*(b + 40)
Let k(x) be the second derivative of 5*x**2 + 0 + 60*x - 7/24*x**4 + 31/12*x**3. Find m, given that k(m) = 0.
-4/7, 5
Let w(z) be the first derivative of -2*z**3/3 + 926*z**2 - 428738*z + 856. Determine q, given that w(q) = 0.
463
Suppose 187 = -10*q + 46*q - 101. Let x(j) be the first derivative of 16 - 16/3*j**3 - j**4 - q*j**2 + 0*j. Factor x(s).
-4*s*(s + 2)**2
Let v(f) be the third derivative of f**6/20 + 43*f**5/40 + 7*f**4/8 + 20*f**3 + 2*f**2 + 54. Let x(q) be the first derivative of v(q). Factor x(t).
3*(t + 7)*(6*t + 1)
Let c(i) be the first derivative of i**6/3 - 164*i**5/5 + 1681*i**4/2 + 1407. Factor c(r).
2*r**3*(r - 41)**2
Let z(w) be the third derivative of 5*w**2 + 0*w + 13/15*w**3 - 5/12*w**4 + 11/150*w**5 - 4 + 1/300*w**6. Suppose z(u) = 0. Calculate u.
-13, 1
Let t be (-20)/(-65)*6/(-12) - ((-3381)/429 + 7). Factor -8/11*c**3 - 2/11*c**4 + 0*c - t*c**2 + 0.
-2*c**2*(c + 2)**2/11
Factor 12879/2*g**2 - 1260*g**3 + 0 + 147/2*g**4 - 8427*g.
3*g*(g - 2)*(7*g - 53)**2/2
Let -144/17 - 342/17*k - 14/17*k**2 = 0. What is k?
-24, -3/7
Let r = -35859 - -35862. Let n(w) be the second derivative of 21/20*w**5 + 0 + 9/4*w**4 - 7*w + 1/10*w**6 - 27/2*w**r - 81*w**2. Solve n(y) = 0 for y.
-3, 2
Let r(f) = 2*f**3 - 147*f + 11*f**2 + 155*f + 2*f**3 + 14*f**2 - 8. Let d(b) = b**3 - b**2 + b + 2. Let a(s) = -5*d(s) - r(s). Factor a(v).
-(v + 1)**2*(9*v + 2)
Let o(f) = -3*f - 40. Let r be o(-15). Suppose -2*i - w = -5, -r*w = 4*i - 6*w - 7. Factor 16/3*p + 1/3*p**i + 64/3.
(p + 8)**2/3
Let u(h) be the second derivative of 3*h**5/80 - 99*h**4/4 + 2349*h**3/8 - 5265*h**2/4 - 4618*h. Factor u(n).
3*(n - 390)*(n - 3)**2/4
Let r(z) = -z**2 - 20*z - 45. Let m be r(-16). Suppose 6 = -6*p + 4*p, -2*t = -3*p - 87. What is c in -m*c**2 - 4*c**4 + t*c**2 - 12*c**2 - 4*c**3 = 0?
-2, 0, 1
Let v be (0/(-1325)*1/(-2))/((-2)/2). Determine a, given that -9/2*a**3 + v + 0*a + 6*a**2 - 3/2*a**4 = 0.
-4, 0, 1
Let p(m) = 12*m**2 - 426*m - 190. Let s be p(36). Let x(h) = h. Let k be x(4). What is t in 31 - 15 - 2*t**2 - s + 8*t + k*t**2 = 0?
-5, 1
Let t(b) be the first derivative of -3*b**5/5 - 111*b**4/2 - 1725*b**3 - 17550*b**2 + 40500*b - 7389. Find s such that t(s) = 0.
-30, -15, 1
Let w be (47 - (23 - -10)) + 76/6. Factor 40/3*g**3 + 1/3*g**5 + w*g - 80/3*g**2 - 32/3 - 10/3*g**4.
(g - 2)**5/3
Let l(o) be the second derivative of o**8/2240 - o**7/280 - 5*o**4/12 - 13*o - 1. Let f(w) be the third derivative of l(w). Factor f(d).
3*d**2*(d - 3)
Let z = -151 + 154. Suppose -z*u + 22 = 5*b, u + 6 = -3*b + 8*b. Factor 5*d**2 - 9*d + 0*d**4 + 12*d - 5*d**u - 20*d**3 + 17*d.
-5*d*(d - 1)*(d + 1)*(d + 4)
Suppose -252*v + 56 = -238*v. Suppose -2*a = -v*y + 8*y + 12, 0 = -5*a - y - 3. Determine t so that a*t**4 - 5/3*t**5 + 0*t**2 + 0 + 5/3*t**3 + 0*t = 0.
-1, 0, 1
Let q = -176 - -158. Let m(a) = -16*a**4 + 24*a**3 + 7*a**2 - 9*a + 9. Let y(w) = -4*w**4 + 6*w**3 + 2*w**2 - 2*w + 2. Let u(z) = q*y(z) + 4*m(z). Factor u(c).
4*c**2*(c - 2)*(2*c + 1)
Let s(b) be the first derivative of 26/3*b**3 - 170 + 0*b + 0*b**2 + 1/4*b**4. Solve s(y) = 0.
-26, 0
Let z(r) be the first derivative of 5*