 t(y) be the second derivative of 2*y**6/45 + 59*y**5/15 - 149*y**4/3 + 218*y**3 - 396*y**2 - 2*y - 160. Solve t(v) = 0.
-66, 1, 3
Suppose -5*g - 2809 = 2*k, 5*k + 3*g + 1528 = -5485. Let i = k + 7013/5. Let 24/5*l - i*l**2 - 48/5 = 0. What is l?
4
Let u be 67/(1273/(-190)) - -14. Factor 28/5*b**3 + 8/5*b**2 - 15*b**5 + 0 + 0*b - 2*b**u.
-b**2*(3*b - 2)*(5*b + 2)**2/5
Let m be (16/(-6))/(-2) + (-427880)/420. Let o = 1020 + m. What is p in 0 - 12/7*p**3 + 0*p - 2/7*p**4 - o*p**2 = 0?
-3, 0
Let s(b) be the second derivative of -b**7/70 - 3*b**6/50 + 39*b**5/20 - 45*b**4/4 + 148*b**3/5 - 198*b**2/5 - 821*b - 1. Solve s(i) = 0 for i.
-11, 1, 2, 3
Let l = -347/81 + 599/81. Let 2/9*k**2 + 16/3 + l*k = 0. Calculate k.
-12, -2
Factor -2/11*c**3 - 18/11*c - 648/11 + 28/11*c**2.
-2*(c - 9)**2*(c + 4)/11
Let h(q) be the third derivative of q**5/480 - 1651*q**4/96 + 2725801*q**3/48 - 108*q**2 - 5. Find l such that h(l) = 0.
1651
Find o such that 2/7*o**5 + 32744/7*o**3 - 137280/7*o**2 + 520/7*o**4 + 0 + 139392/7*o = 0.
-132, 0, 2
Let q(u) = u**4 - 2*u**3 + 1. Let k(v) = 18*v**4 - 24*v**3 + 16*v**2 + 17. Let w(t) = 4*k(t) - 68*q(t). What is o in w(o) = 0?
-8, -2, 0
Let g(t) = -2*t + 71. Let z be g(-37). Suppose -5*n + n**2 - 294 + z + 149 = 0. Calculate n.
0, 5
Find c such that -7*c**3 - 2/3*c**5 + 4/3*c - 23/6*c**4 + 0 - 10/3*c**2 = 0.
-2, 0, 1/4
Let o(m) = -m**2 + 22. Let a(r) = -10*r**2 + 27*r + 148. Let t(p) = 4*a(p) - 36*o(p). Determine y, given that t(y) = 0.
2, 25
Let o(j) be the third derivative of -j**5/30 - 55*j**4/4 + 334*j**3/3 + 78*j**2 + 11*j. Factor o(q).
-2*(q - 2)*(q + 167)
Suppose 41*x - 42*x - 3 = 0. Let b(g) = -7*g**4 - g**3 - 3*g**2 + g + 5. Let l(t) = -4*t**4 - 2*t**2 + 3. Let c(n) = x*b(n) + 5*l(n). Factor c(k).
k*(k - 1)*(k + 1)*(k + 3)
Let d(n) = -28*n**3 + 97*n**2 + 256*n - 373. Let q(x) = 122*x**3 - 387*x**2 - 1018*x + 1491. Let w(h) = 26*d(h) + 6*q(h). Let w(t) = 0. Calculate t.
-47, -4, 1
Factor 1/4*m**3 - 3*m**2 - 55/4*m + 75/2.
(m - 15)*(m - 2)*(m + 5)/4
Let t(s) be the third derivative of s**5/20 - 33*s**4/8 - 54*s**3 - 1365*s**2. Find a such that t(a) = 0.
-3, 36
Let r(f) = -f**3 + 23*f**2 - 77*f + 19. Let x be r(19). Suppose -3*a - 3 = 4*t - 16, -3*a - t + 10 = x. Factor -1/5*p**4 - 4/5*p**2 + 0 - 4/5*p**a + 0*p.
-p**2*(p + 2)**2/5
Let 24/5*k - 3/5*k**3 - 6/5*k**2 + 0 = 0. Calculate k.
-4, 0, 2
Solve 526*p**2 - 47449*p**3 - 2*p**5 - 2 + 312*p + 47563*p**3 - 102*p**4 + 2 = 0 for p.
-52, -1, 0, 3
Let u be (10 + 2)/((-44)/(-2112)*72). Factor 4/5*j**5 + 4/5 + u*j**2 + 4*j + 8*j**3 + 4*j**4.
4*(j + 1)**5/5
Find r, given that -388/5*r + 1316/5*r**2 + 196/5*r**3 + 28/5 = 0.
-7, 1/7
Let j(y) = -y**3 - 15*y**2 - 23*y - 84. Let z be j(-12). Let h = -238 - z. Solve -4/5*d**h + 8/5*d - 4/5 = 0.
1
Find q, given that 1797*q + 2175/2*q**2 - 720 + 9/2*q**3 = 0.
-240, -2, 1/3
Suppose 0 = -11*q - 379 + 423. Let c be 355/24 - q/32. Factor 56/3*h + 10/3*h**3 + c*h**2 + 16/3.
2*(h + 2)**2*(5*h + 2)/3
Suppose -55 + 511 = 151*x + x. Find h, given that -28/15*h**x - 2/15*h**5 + 4/5*h**4 - 6/5*h + 4/15 + 32/15*h**2 = 0.
1, 2
Let y(v) = -v**3 - v**2 + v. Let q(j) = j**4 - 10*j**3 - 19*j**2 + 20*j. Let d(z) = 5*q(z) - 40*y(z). Let d(s) = 0. What is s?
-3, 0, 1, 4
Suppose -57*i**3 - 160*i + 272*i - 227*i - 465*i**2 + 37*i**3 = 0. Calculate i.
-23, -1/4, 0
Suppose -27*k + 30*k = -3*a, 0 = -2*a - k + 3. Let p(d) be the first derivative of -7 - d**2 + d + 1/3*d**a. Factor p(y).
(y - 1)**2
Let x(f) be the second derivative of -5*f**7/42 - 46*f**6/3 - 3385*f**5/4 - 51885*f**4/2 - 477090*f**3 - 5263380*f**2 + 5*f + 34. Let x(q) = 0. Calculate q.
-19, -18
Determine x, given that -33 - 526*x - 14*x**3 - 228 + 49 + 573398*x**2 - 572646*x**2 = 0.
-2/7, 1, 53
Let a = -267 - -277. Let o be 2/6*-1*a - -4. Let 4/3*r - o*r**2 - 2/3 = 0. Calculate r.
1
Let a(q) = -7*q**2 - 153*q + 340. Let o(d) = -d**2 + d + 3. Let x(j) = 5*a(j) - 30*o(j). Factor x(n).
-5*(n - 2)*(n + 161)
Let k = -23 + 29. Suppose 3090 = k*o - 5*o. Determine i, given that 3090*i - 15*i**3 - o*i - 3*i**2 - 12*i**4 = 0.
-1, -1/4, 0
Suppose -5*m - 16 = -4*n - m, 5*n - 36 = -3*m. Let u(c) = -c + 4*c**2 - 12*c**2 + 1 + n. Let v(p) = -p**2 + 1. Let i(q) = 5*u(q) - 35*v(q). Factor i(o).
-5*o*(o + 1)
Let h(o) be the first derivative of o**6/15 + 9*o**5/10 + 10*o**4/3 + 4*o**3 + 52*o + 44. Let l(n) be the first derivative of h(n). Factor l(s).
2*s*(s + 1)*(s + 2)*(s + 6)
Let m be (-24)/(-35) - (9/15)/(447/298). Factor 1/7*b**3 + 1/7*b - m*b**2 + 0.
b*(b - 1)**2/7
Let t = 32 - 30. Factor 92*a + 8*a**2 - 71*a - 53*a - 217 + 89 + t*a**3.
2*(a - 4)*(a + 4)**2
Let d(z) be the third derivative of z**7/420 - 35*z**6/3 + 24500*z**5 - 85750000*z**4/3 + 60025000000*z**3/3 + 1013*z**2 + 2*z. Find u, given that d(u) = 0.
700
Let g(f) = -f**2 - 9*f - 15. Let v be g(-6). Suppose -5*t - v*x + 345 = 0, 2*x + x - 273 = -4*t. Factor 5*n**2 - 72 + 10*n + t.
5*n*(n + 2)
Solve -110/19 - 2/19*c**2 + 112/19*c = 0 for c.
1, 55
Let p be (6*8/(-120))/(-6 + 1616/280). Determine m, given that 23/4*m**2 - p*m**3 + 1 - 5*m = 0.
2/7, 1, 2
Let m(h) = h**2 + h + 3. Suppose 22*a - 17*a = 30. Let s(z) = -10*z**2 + 26*z - 66. Let u(f) = a*m(f) + s(f). Suppose u(t) = 0. What is t?
2, 6
Let m(w) be the first derivative of w**5/90 + w**4/24 + w**3/18 - 3*w**2/2 - 16*w + 20. Let a(c) be the second derivative of m(c). Factor a(x).
(x + 1)*(2*x + 1)/3
Let k = -322 - -430. Solve -45 + 156*z - 119*z - 103*z + k + 3*z**2 = 0.
1, 21
Let c be 86/(-18) + (-40)/180 - -3. Let s(y) = 2*y**3 - y**2. Let h(d) = 23*d**3 + 19*d**2 + 225*d. Let t(p) = c*h(p) + 22*s(p). Solve t(a) = 0.
-15, 0
Let h(l) be the second derivative of l**6/105 - 16*l**5/105 + 29*l**4/84 - l**3/3 + 28*l**2 + 21*l + 1. Let a(i) be the first derivative of h(i). Factor a(f).
2*(f - 7)*(2*f - 1)**2/7
Let q(i) be the third derivative of -i**8/84 + 16*i**7/105 - 7*i**6/10 + 22*i**5/15 - 4*i**4/3 - 631*i**2 - 2. Determine g so that q(g) = 0.
0, 1, 2, 4
Suppose 930*p**2 + 419*p + 84 + 6*p**3 - 100*p**3 + 414*p**2 + 255*p - 160*p**4 + 32*p**5 - 80*p**4 = 0. What is p?
-2, -1/4, 3, 7
Let v be (-9)/(-6)*(-234)/27. Let w be (-3)/(v/10 - 5/25). Let 2*p**2 - 8*p**3 + 259*p - 255*p + 2*p**w = 0. Calculate p.
-1/2, 0, 1
Let n(p) be the third derivative of p**7/70 - 987*p**6/20 + 972193*p**5/20 + 243789*p**4 + 488072*p**3 + p**2 + 5757. Factor n(j).
3*(j - 988)**2*(j + 1)**2
Let j(v) be the third derivative of v**6/120 - 4*v**5/5 + 32*v**4 - 70*v**3/3 - 2*v**2 - 26. Let f(r) be the first derivative of j(r). Factor f(b).
3*(b - 16)**2
Let n(w) = -w**2 + 3*w - 1. Let z(y) = -3*y**3 - 87*y**2 + 21*y + 75. Let t(q) = -6*n(q) + z(q). Solve t(s) = 0.
-27, -1, 1
Let q(f) = -87*f**2 + 288*f. Let z(p) = -1915*p**2 + 6370*p. Let k(o) = 45*q(o) - 2*z(o). Factor k(i).
-5*i*(17*i - 44)
Let 18*a + 0 - 74/3*a**2 + 62/9*a**3 - 2/9*a**4 = 0. What is a?
0, 1, 3, 27
Let k(v) be the second derivative of -v**5 + 1175*v**4/12 + 255*v**3 - 900*v**2 - 14*v + 59. Determine q so that k(q) = 0.
-2, 3/4, 60
Suppose 3*x = -0*x + a + 31, -4*a = 5*x - 29. Suppose 1 = 2*b - x. Let 16*n**4 - 2*n**3 + 0*n + 0*n - 2*n**b - 20*n**4 = 0. What is n?
-1, 0
Let h(i) be the second derivative of 3*i**7/70 + 59*i**6/50 - 2963*i**5/100 - 5273*i**4/60 - 417*i**3/5 - 36*i**2 + 11853*i. Solve h(z) = 0 for z.
-30, -1, -1/3, 12
Let z(v) be the third derivative of v**8/1344 + 169*v**7/420 + 301*v**6/5 + 1176*v**5/5 + 3*v**2 + 112*v. Solve z(x) = 0.
-168, -2, 0
Let u(l) be the first derivative of -l**5/5 + 5*l**4/3 - 16*l**3/3 + 8*l**2 + 55*l - 6. Let a(x) be the first derivative of u(x). Find i such that a(i) = 0.
1, 2
Let w = -213/2 + 1067/10. Let k(y) be the third derivative of 1/3*y**4 + 0 + 0*y + 1/20*y**6 + 0*y**3 - 5*y**2 - 1/210*y**7 - w*y**5. Factor k(p).
-p*(p - 2)**3
Let u be (-87)/(-6) + (-280755)/19818. Factor -u*a**3 - 20*a - 24 - 14/3*a**2.
-(a + 2)*(a + 6)**2/3
Let u = 2516/5035 + 3/10070. Factor -9/2 + 5*n - u*n**2.
-(n - 9)*(n - 1)/2
Solve -48/7*q - 22/7*q**2 - 2/7*q**3 + 0 = 0 for q.
-8, -3, 0
Let o(q) = q + 44. Let k be o(-42). Let t(c) be the first derivative of -1/16*c**4 + 1/6*c**3 + 1/8*c**k - 1/2*c + 17. What is r in t(r) = 0?
-1, 1, 2
Let v(f) = 10*f - 41. Let u be v(6). Suppose k = -u*k + 100. Factor 0 + 1/3*h**k + 0*h**2