- 4*l - 4*l**2 + 4*l**2. Let s(d) = 4*d**2 - 4 - 3*d**2 + 3. Let k(x) = -3*s(x) + u(x). Find q, given that k(q) = 0.
-2/7, 0
Suppose -4851*m + 5552*m = 0. Solve 45/2*k**2 + 0 + 1/2*k**3 + m*k = 0.
-45, 0
Determine k so that 121/3*k**2 - 3*k**4 + 116/3*k + 16/3*k**3 + 20/3 = 0.
-2, -1, -2/9, 5
Let i = -2789 + 2794. Let c(y) be the second derivative of 1/2*y**4 - 4*y**2 + 1/5*y**i + 3*y - 4/3*y**3 + 0 - 1/15*y**6. Factor c(k).
-2*(k - 2)**2*(k + 1)**2
Let w be (-10519)/(-157) + 8370/(-150). Find y, given that w - 6/5*y - 2/5*y**2 = 0.
-7, 4
Let i(d) = 9*d**2 - 420*d - 693. Let j(f) = 10*f**2 - 376*f - 694. Let c(n) = -7*i(n) + 6*j(n). Factor c(h).
-3*(h - 229)*(h + 1)
Let z(u) be the first derivative of -2*u**5/25 - 13*u**4/5 + 2*u**3/15 + 26*u**2/5 - 1122. Suppose z(g) = 0. What is g?
-26, -1, 0, 1
Let o(f) = -4*f**2 + f - 1. Let a(c) = -c**3 + 55*c**2 - 349*c + 511. Let b(s) = -3*a(s) + 6*o(s). Determine h so that b(h) = 0.
3, 57
Let p(x) = -5*x**2 - 15*x - 5. Let s(f) = 7*f + 166. Let k be s(-24). Let r be p(k). Solve 0 + 0*d + 2/3*d**3 - 2/3*d**r - 2/3*d**2 + 2/3*d**4 = 0.
-1, 0, 1
Let z(q) be the third derivative of -q**5/12 + 115*q**4/24 - 85*q**3 + 2*q**2 - 713. Suppose z(i) = 0. What is i?
6, 17
Let q(t) be the second derivative of 2/3*t**4 - 119*t - 10*t**3 + 36*t**2 + 0. Find x such that q(x) = 0.
3/2, 6
Factor 29773*z**2 - 23332*z**2 + 186245*z**4 + 46174*z**2 + 5 - 370560*z**3 + 148085*z**2 - 18310*z**2 + 1920*z.
5*(z - 1)**2*(193*z + 1)**2
Let x(j) be the second derivative of -j**6 + 1219*j**5/4 - 7075*j**4/12 + 505*j**3/3 + 150*j + 5. Suppose x(w) = 0. What is w?
0, 1/6, 1, 202
Let n be 0/(-2 - 12/(-4) - (-4 + 2)). Let i(p) be the third derivative of n*p**3 + 0 + 1/420*p**5 + 0*p + 5/168*p**4 - 15*p**2. Factor i(j).
j*(j + 5)/7
Let q = -228 + 235. Let p be (q/(-28))/((-12)/16). Factor 10/3*m - 25/3 - p*m**2.
-(m - 5)**2/3
What is y in 916/5*y - 209764/5 - 1/5*y**2 = 0?
458
Let z = 7456 - 44735/6. Let v(w) be the third derivative of 0*w + 1/6*w**6 + 1/42*w**7 + z*w**5 + 0 - 24*w**2 - 5/6*w**4 - 5/2*w**3. Factor v(q).
5*(q - 1)*(q + 1)**2*(q + 3)
Let q(y) = -y**2 + 13*y + 2. Suppose -5*f = -21*f + 208. Let r be q(f). Determine v, given that 2/3 - v + 1/3*v**r = 0.
1, 2
Let x be 8 - (-672)/(-105) - -4. What is t in -x*t - 2/5*t**2 - 98/5 = 0?
-7
Suppose -q - 2*h - 8 = 7, -3*h - 14 = q. Let m = q + 30. Factor 2*g**5 - 6*g**2 - 11*g**3 + 4*g**4 - 4*g + m*g**3 + 2*g**4.
2*g*(g - 1)*(g + 1)**2*(g + 2)
Factor 23*b**2 - 4 + 36*b**2 + 1 - 159*b + 81 + 25*b**2 - 3*b**3.
-3*(b - 26)*(b - 1)**2
Let o(r) be the first derivative of -5*r**3/3 + 3230*r**2 - 2086580*r - 3361. Factor o(n).
-5*(n - 646)**2
Let r(f) = -f**2 - 7*f + 1. Let a(d) = d**3 + 2596*d**2 + 2255032*d + 651714368. Let n(o) = a(o) - 5*r(o). Factor n(b).
(b + 867)**3
Factor -29*p**4 - 6*p**3 + 8*p + 3 - 2*p + 26*p**4 + 25*p**2 - 25*p**2.
-3*(p - 1)*(p + 1)**3
Let t(l) be the third derivative of -5/3*l**4 - 11/20*l**5 + 0*l + 0 - 8/3*l**3 + 311*l**2 - 1/210*l**7 - 1/12*l**6. Find i such that t(i) = 0.
-4, -1
Solve 272/11 - 2/11*x**2 - 12*x = 0 for x.
-68, 2
Let r(o) be the first derivative of -5*o**6/6 + 15*o**5 - 65*o**4/2 - 3142. Find l such that r(l) = 0.
0, 2, 13
Let j(c) be the third derivative of c**8/84 + 6*c**7/35 - 5*c**6/6 - 173*c**5/15 - 40*c**4 - 200*c**3/3 - 14*c**2 - 4*c. Find r such that j(r) = 0.
-10, -2, -1, 5
Let c = 1375 + -1364. Suppose 0 = -c*a - 3*a + 42. Determine w, given that -1/4*w**2 + 1 - 1/4*w**a + w = 0.
-2, -1, 2
Let u(p) = p**3 - 1772*p**2 + 19371*p + 3. Let s be u(11). Suppose -2/13*m**s - 24/13*m + 0 - 14/13*m**2 = 0. What is m?
-4, -3, 0
Let d(k) be the first derivative of 4/57*k**3 + 0*k - 4/95*k**5 + 1/19*k**2 - 1/57*k**6 + 0*k**4 - 144. Determine o, given that d(o) = 0.
-1, 0, 1
Suppose 201 = -3*i + 216. Let q(v) be the second derivative of -23/84*v**4 + 0 + 2/35*v**i + 16*v - 6/7*v**2 + 2/3*v**3 - 1/210*v**6. Factor q(d).
-(d - 3)*(d - 2)**2*(d - 1)/7
Let h = -2320/3 + 1241/5. Let o = -525 - h. Factor -2/15*f**2 - 2/15*f + o + 2/15*f**3.
2*(f - 1)**2*(f + 1)/15
Suppose -4*y + 114 - 99 = -t, -5*y = -4*t - 16. Suppose 0 = 5*l + u - 4, -13*u - 8 = -y*l - 15*u. Factor -3/4 + l*a + 3/4*a**2.
3*(a - 1)*(a + 1)/4
Let o(m) = -362*m - 2532. Let k be o(-7). Let q(t) be the second derivative of -1/15*t**3 - 1/50*t**5 + 0*t**k + 1/15*t**4 + 0 + 9*t. Factor q(z).
-2*z*(z - 1)**2/5
Suppose 4*t - 140 = -3*w, -5*w + 0*w = -20. Suppose -t = -32*r + 32. Suppose 1/5*y**r + 0 - 1/5*y**3 + 2/5*y = 0. Calculate y.
-1, 0, 2
Let u(w) = 14 + 38*w - 18*w**2 - 16 + 38. Let s(p) = -p**2 + p - 2. Let g(f) = -10*s(f) - u(f). Factor g(n).
4*(n - 2)*(7*n + 2)
Let q(d) be the first derivative of 150*d - 10*d**2 + 2/9*d**3 - 67. Factor q(o).
2*(o - 15)**2/3
Let l be (8/6 - 22/(-33))*(-225)/(-90). Let g(n) be the second derivative of 24*n + 0 + 0*n**3 - 3/40*n**l - 1/8*n**4 + 0*n**2. Factor g(a).
-3*a**2*(a + 1)/2
Let m(o) be the third derivative of 0*o**3 + 0 + 1/30*o**6 - o**2 + 2*o + 0*o**4 + 1/10*o**5 + 1/315*o**7. Factor m(i).
2*i**2*(i + 3)**2/3
Suppose -9091*k + x = -9089*k - 22, -2*k + 4*x = -70. Factor 45/4*i**2 + 5/4*i**k + 30*i + 20.
5*(i + 1)*(i + 4)**2/4
Let k = 315 + -524. Let g = 209 + k. Factor -3/2*l**3 - 3 + 9/2*l + g*l**2.
-3*(l - 1)**2*(l + 2)/2
Let y(w) = -4*w**3 - 79*w**2 - 61*w + 7. Let l(b) = 6*b**3 + 78*b**2 - b**3 + 62*b - b**3 - 6. Let k(t) = 7*l(t) + 6*y(t). Factor k(f).
4*f*(f + 1)*(f + 17)
Find d, given that -735*d - 2041*d**2 + 2921*d**2 + 895*d**3 - 1045*d + 5*d**4 = 0.
-178, -2, 0, 1
Let i(n) be the third derivative of -n**6/960 + 181*n**5/480 - 1213*n**2. Factor i(u).
-u**2*(u - 181)/8
Let -44*g - 130/3 - 2/3*g**2 = 0. Calculate g.
-65, -1
Let n(h) be the first derivative of -h**6/18 - 8*h**5/15 + h**4/12 + 92*h**3/9 + 10*h**2 - 48*h + 1126. What is o in n(o) = 0?
-6, -4, -2, 1, 3
Let h(g) be the first derivative of 4*g**3/9 - 8*g**2/3 - 380*g - 12999. Factor h(v).
4*(v - 19)*(v + 15)/3
Let c(s) = -9*s**3 + 47*s**2 + 384*s + 308. Let f(n) = -55*n**3 + 280*n**2 + 2305*n + 1845. Let u(b) = 25*c(b) - 4*f(b). Factor u(y).
-5*(y - 16)*(y + 1)*(y + 4)
Let z(d) be the first derivative of 179114*d**3/3 - 996*d**2 + 72*d/13 + 5354. Factor z(p).
2*(1079*p - 6)**2/13
Let s = -48 + 13. Let p be 1*(0 + 3) + 49/s. Factor 4/5*v**5 + 0 + 8/5*v**4 - 4/5*v + 0*v**3 - p*v**2.
4*v*(v - 1)*(v + 1)**3/5
Let t(a) be the second derivative of -a**8/336 - a**7/105 + 53*a**2/2 + 2*a - 61. Let u(g) be the first derivative of t(g). Suppose u(c) = 0. What is c?
-2, 0
Suppose 18 = -5*d + 11*d. Find v, given that 368*v - 1774*v**3 + 14641*v**5 + 885*v**3 + 5109*v**2 - d - 1853*v**2 + 25289*v**4 + 14441*v**3 + 19 = 0.
-1, -2/11
Suppose -15 - 1 = -8*y. Solve 60*m + 40*m**4 + 111*m**y + 12 + 8*m**5 - 2*m**5 + 58*m**3 - m**4 + 38*m**3 = 0.
-2, -1, -1/2
Let z = -88143 - -179961/2. Determine u so that -z - 3/2*u**2 - 105*u = 0.
-35
Suppose 24*c + 259 = 31*c. Solve -320*b**3 + 9*b**4 + c*b**4 - 230*b**5 + 228*b**5 + 600*b**2 = 0.
0, 3, 10
Let i(b) = b**3 + 12*b**2 + 37*b + 12. Let t be i(-7). Let q be t/((-50)/195) + -7. Factor -2/5*y**5 + q*y**4 + 0 - 8/5*y - 8/5*y**2 + 6/5*y**3.
-2*y*(y - 2)**2*(y + 1)**2/5
Let f(p) be the first derivative of 9*p + 3/2*p**2 - 5/3*p**3 + 1/4*p**4 - 56. Factor f(j).
(j - 3)**2*(j + 1)
Let k(d) = 7*d**4 - 9*d**3 - 10*d**2 + 17*d + 10. Let r(f) = -f**4 + f**3 - f - 2. Let s(c) = -k(c) - 5*r(c). Solve s(u) = 0 for u.
-2, 0, 1, 3
Let k(t) = -41*t**2 - 15*t**2 + 5 - 10*t**3 + 65*t - 4*t**2. Let p(r) = 5*r**3 + 30*r**2 - 32*r - 3. Let f(s) = -3*k(s) - 5*p(s). Find h such that f(h) = 0.
-7, 0, 1
Let t(v) be the second derivative of 0 - 1/4*v**4 - v**3 + 85*v + 9/2*v**2. Factor t(u).
-3*(u - 1)*(u + 3)
Factor -3/8*z**4 - 18*z**3 - 1587/8 - 414*z - 933/4*z**2.
-3*(z + 1)**2*(z + 23)**2/8
Let d(t) = -16*t - 17. Let j(n) = 5*n + 6. Let y(i) = 4*d(i) + 11*j(i). Let v be y(-2). Determine f so that -v*f - 5*f**2 + 3*f**2 + 0*f**2 - 2*f**2 = 0.
-4, 0
Let p = -442511 - -1327535/3. Factor -488/9*n - p*n**2 + 328/9.
-2*(n + 82)*(3*n - 2)/9
Let z(t) be the third derivative of 2*t**7/315 - 145*t**6/72 - 1279*t**5/180 - 367*t**4/72 + 61*t**3/6 - 2136*t**2. Find v, given that z(v) = 0.
-1, 1/4, 183
Let x(j) be the third derivative of 1/420*j**6 + 108*j**2 + 225/7*j**