t derivative of n(s). What is b in h(b) = 0?
1/2, 20
Let i(r) be the second derivative of r**4/32 + 15*r**3/8 - 777*r**2/16 + 2*r + 230. Suppose i(b) = 0. What is b?
-37, 7
Let j = 16853/17 - 991. Suppose 11*g + 0*g = 22. Factor 0 + 4/17*z - j*z**g.
-2*z*(3*z - 2)/17
Let v = -4 - -8. Let r(w) be the third derivative of -97/20*w**5 - 19/14*w**7 + 0 + 8*w**2 + 139/40*w**6 + 25/112*w**8 + v*w**4 + 0*w - 2*w**3. Factor r(l).
3*(l - 1)**3*(5*l - 2)**2
Let g(o) = -15*o**2 + 970*o - 1975. Let z(i) = -47*i**2 + 2911*i - 5938. Let d(x) = 16*g(x) - 5*z(x). Factor d(k).
-5*(k - 191)*(k - 2)
Factor -4115/2*p + 3/2*p**2 + 1371.
(p - 1371)*(3*p - 2)/2
Let b(x) be the second derivative of x**7/42 - 353*x**6/45 - 1183*x**5/60 - 79*x**4/6 + 3178*x. Find s, given that b(s) = 0.
-1, -2/3, 0, 237
Let k(s) be the second derivative of -65*s**4/12 + 20*s**3 + 10*s**2 + 4*s + 161. Factor k(m).
-5*(m - 2)*(13*m + 2)
Let m(j) be the second derivative of -2*j + 1/12*j**4 + 13/3*j**3 + 169/2*j**2 + 8. Factor m(k).
(k + 13)**2
Let h be (29 - 8759/304)/((-4)/48) - 42/(-16). Determine n so that -h*n**2 + 0 + 3/8*n = 0.
0, 1
Suppose 0 = -h - h. Let r = -5339 - -5341. Factor -6/5*j**3 + 8/5*j + h + 2/5*j**5 - 8/5*j**r + 4/5*j**4.
2*j*(j - 1)**2*(j + 2)**2/5
Suppose -133*q = -137*q - 6596. Let h = q - -1652. Factor 0*b + 0*b**2 - 2/13*b**h + 0.
-2*b**3/13
Suppose -4*o + 4 = 0, 11*q - 462 = 9*q - 4*o. Let p = -227 + q. Let 1/2 + 1/2*i**p + i = 0. What is i?
-1
Let l(u) = u**2 + 9*u + 10. Let y(d) = -d**2 + 3*d + 2. Let c be y(5). Let k be l(c). Factor r**4 - 21*r**k - 6*r - 11*r**4 - 7*r**3 - 17*r**3 + r**4.
-3*r*(r + 1)**2*(3*r + 2)
Let g(t) be the first derivative of t**5/20 - t**4/3 + 5*t**3/6 - t**2 - 13*t - 30. Let z(h) be the first derivative of g(h). Factor z(n).
(n - 2)*(n - 1)**2
Let o(b) be the second derivative of b**7/63 + 71*b**6/45 - b**5/10 - 211*b**4/18 + 142*b**3/9 - 112*b + 7. Suppose o(w) = 0. Calculate w.
-71, -2, 0, 1
Let x(w) be the first derivative of -7/8*w**4 + 1/10*w**5 + 0*w + 5/3*w**3 + 0*w**2 + 154. Factor x(z).
z**2*(z - 5)*(z - 2)/2
Let y(p) = 28*p**4 + 40*p**3 + 4*p**2 - 40*p - 26. Let c(o) = 2*o**5 - 2*o**4 - 2*o**2 - 2*o + 1. Let w(q) = 2*c(q) + y(q). Solve w(g) = 0.
-3, -2, -1, 1
Let j = -2040 + 2035. Let n(a) = -a**3 - 7*a**2 + a + 61. Let b be n(j). Let -4*i + 11/6*i**2 - b - 1/6*i**3 = 0. What is i?
-1, 6
Let q(g) be the second derivative of 1/240*g**6 - 1/8*g**4 + 0 - g**2 - 18*g + 1/160*g**5 - 7/12*g**3. Let q(p) = 0. What is p?
-2, -1, 4
Let d = -635885/2 + 317943. Factor 85/2*r + d + 7225/8*r**2.
(85*r + 2)**2/8
Let l be ((-9588)/1512)/(-17) - (-7)/126. Determine v, given that 24/7 + l*v**5 - 18/7*v**4 - 36/7*v - 6/7*v**2 + 33/7*v**3 = 0.
-1, 1, 2
Factor -40 + 0*d**3 + 33*d**2 + 15*d - 8*d + 3*d**3 - 68 + 65*d.
3*(d - 1)*(d + 6)**2
Let v = -3503 - -2348. Let z be 7*-6*5/v. Factor 24/11 + 2/11*m**3 - z*m**2 - 16/11*m.
2*(m - 2)**2*(m + 3)/11
Determine u so that 114/5 - 3/5*u**3 - 51/5*u - 12*u**2 = 0.
-19, -2, 1
Suppose 5410 - 5464 = -27*n. Determine y so that 0*y**n + 0*y + 1/8*y**5 - 3/2*y**3 + 0 + 1/2*y**4 = 0.
-6, 0, 2
Suppose 33269*z - 19291*z + 37605*z - 16827*z + z**3 + 24887*z - 423*z**2 - 2803221 = 0. Calculate z.
141
Let d(w) be the second derivative of w**5/70 - 11*w**4/21 + 23*w**3/3 - 56*w**2 + 473*w + 2. Solve d(l) = 0 for l.
7, 8
Let r(n) = -n**3 + 80*n**2 + 97*n - 581. Let w(z) = z**3 - 83*z**2 - 98*z + 580. Let j(i) = -4*r(i) - 5*w(i). Factor j(q).
-(q - 96)*(q - 2)*(q + 3)
Suppose -17*t + 4522 = 4437. Let b(k) be the second derivative of 0 + 1/5*k**2 - 1/10*k**3 - t*k - 9/10*k**4. Suppose b(r) = 0. Calculate r.
-2/9, 1/6
Suppose -7*v - z = -10*v + 5, -5*v = 5*z - 35. Let d(f) be the first derivative of 3/10*f**2 - 3/5*f + 1/5*f**v + 6 - 3/20*f**4. Let d(u) = 0. Calculate u.
-1, 1
Let o be (3 + -2)/(11 - 2303/210). Suppose o*i - 3 = 117. Suppose 1/5*s + 0 + 1/5*s**i - 1/5*s**3 - 1/5*s**2 = 0. Calculate s.
-1, 0, 1
Let n = -582 - -592. Factor n*v + v**2 - 3*v - 7*v + v**4 - 2*v**3.
v**2*(v - 1)**2
Let z(x) = 4*x**2 + 4*x - 101. Let t(s) be the second derivative of 0 + 10*s**2 - 1/12*s**4 + 18*s - 1/6*s**3. Let b(i) = 11*t(i) + 2*z(i). Factor b(m).
-3*(m - 2)*(m + 3)
Suppose -12*y - 7*y + 15 = 15. Let l(f) be the second derivative of 2/5*f**4 - 25*f + 0*f**2 + y - 1/50*f**6 - 3/50*f**5 + 0*f**3. Find o such that l(o) = 0.
-4, 0, 2
Let k = 2205235/9 - 245284. Let d = -257 - k. Factor -16/9 + 4/9*f**2 - 2/9*f**3 + d*f.
-2*(f - 2)**2*(f + 2)/9
Let f(i) = -i**3 - 143*i**2 + 43*i + 6152. Let s be f(-143). Suppose -10*n**2 - 22/3*n**s - 2*n**4 - 6*n - 4/3 = 0. What is n?
-1, -2/3
Let d(w) be the first derivative of w**7/252 - w**5/40 - w**4/36 + 44*w - 16. Let x(l) be the first derivative of d(l). Suppose x(m) = 0. Calculate m.
-1, 0, 2
Let t(a) = -a**2 + 70*a - 262. Let v be t(66). Suppose -4/7*y**3 + 0 - 8/7*y + v*y**2 - 2/7*y**4 = 0. What is y?
-4, 0, 1
Let q be 0 + (-4 + 7 - 1). Let d be 18*(((-1)/(-3) - q) + 2). Find u such that -4 + u**3 - 2*u + 7*u**4 + d*u**2 - 9*u**4 + u**3 = 0.
-1, 1, 2
Let d(v) = 43*v. Let l(f) = -3*f**2 + 283*f - 558. Let i(q) = -4*d(q) + l(q). Factor i(z).
-3*(z - 31)*(z - 6)
Factor -6/7*p**3 - 24/7*p**2 + 3/7*p**4 + 54/7*p - 27/7.
3*(p - 3)*(p - 1)**2*(p + 3)/7
Let u(i) be the third derivative of 1/20*i**5 + 0 + 1/2*i**3 - 1/4*i**4 - 97*i**2 + 0*i. Solve u(p) = 0 for p.
1
Let l = 39440 + -315011/8. Let x = l - 507/8. Solve -1/4*z**3 + 0*z - 1/4*z**4 + 0 + x*z**2 + 1/4*z**5 = 0.
-1, 0, 1
Let i(j) = -5*j**2 + 4675*j - 1090385. Let s(n) = 5*n**2 - 4674*n + 1090397. Let a(z) = -4*i(z) - 5*s(z). Factor a(m).
-5*(m - 467)**2
Suppose -255*q = -261*q + 4158. Let n = 695 - q. Factor 3/7*x**5 + 0*x + 6/7*x**n + 0 + 15/7*x**3 + 12/7*x**4.
3*x**2*(x + 1)**2*(x + 2)/7
Let q(h) = h**2 + 17*h + 84. Let u be q(-22). Let i = 194 - u. Find s such that -1/3*s**3 - 1/3*s**2 + 0*s + i = 0.
-1, 0
Let r be (-1895)/(-35) + -11 + 1456/98 + -4. Suppose 50/3*n**3 + r*n + 60*n**2 + 0 = 0. What is n?
-9/5, 0
Suppose -o + 4*b + 23 = 0, 0*o = -3*o + b + 14. Let m be ((-2)/6*0*-1)/(-4). Find z such that 12/5*z**2 + m - 18/5*z + 6/5*z**o = 0.
-3, 0, 1
Let l(u) = 79*u + 240. Let a be l(8). Let m = -867 + a. Find k, given that 12/5*k**3 - 8/5*k**2 + 0*k**4 + 0 - 4/5*k**m + 0*k = 0.
-2, 0, 1
Let p(v) = -7*v**2. Let k be -15*(-5)/((-25)/(-2)). Let h(q) = -12*q**2 + q. Let c(r) = k*h(r) - 10*p(r). Factor c(g).
-2*g*(g - 3)
Suppose -q = -5*q + 4. Let x = -7650 + 7647. Let z(m) = -m - 1. Let w(h) = h**3 - 4*h - 3. Let l(c) = q*w(c) + x*z(c). Find t, given that l(t) = 0.
-1, 0, 1
Let o(d) be the first derivative of -3*d**4/2 - 15*d**3 + 159*d**2/2 + 90*d - 70. Factor o(k).
-3*(k - 3)*(k + 10)*(2*k + 1)
Suppose 3*h - 3 = 0, -64 = -6*b + b - 4*h. Factor -10*p**5 + b*p**5 - 3*p**3 + p**2 + 3*p**4 - 3*p**5.
-p**2*(p - 1)**3
Let t(r) be the second derivative of -5*r**7/42 + 5*r**6/6 + 47*r**5/4 + 175*r**4/12 - 115*r**3/3 - 100*r**2 + 213*r + 5. What is w in t(w) = 0?
-4, -1, 1, 10
Let d(h) be the third derivative of 22*h**7/1365 - 113*h**6/780 + 77*h**5/195 - 9*h**4/52 - 12*h**3/13 - 7252*h**2. Determine o so that d(o) = 0.
-4/11, 1, 3/2, 3
Let r = -394 + 687. Let -336*n**4 + 467 + 1587*n**3 + 3378*n**2 + 15*n**5 - 378 + 283*n - 368 + r*n - 585 = 0. Calculate n.
-1, 2/5, 12
Let r(f) be the second derivative of -1/50*f**5 + 0 + 3/20*f**4 + 0*f**3 + 0*f**2 - 152*f. Factor r(m).
-m**2*(2*m - 9)/5
Let u = -595/174 - -237/58. Solve -u*n**3 + 20/3*n - 8 - 1/6*n**4 + 13/6*n**2 = 0.
-4, 1, 3
Suppose 28/11*r**2 + 80/11*r + 0 + 2/11*r**3 = 0. What is r?
-10, -4, 0
Let z(k) = -k**4 - 23*k**3 + 577*k**2 + 3539*k + 2912. Let s(t) = -25*t**3 + 575*t**2 + 3540*t + 2905. Let p(g) = 4*s(g) - 5*z(g). Find b, given that p(b) = 0.
-7, -1, 12
Let o be ((-8)/6)/((6248/132)/(-71)). Let l(k) be the first derivative of 16*k + 2 - k**4 + 14*k**o + 8/3*k**3. What is p in l(p) = 0?
-1, 4
Suppose 542 - 4835 = -27*d. Factor 4*j**2 + 2752 + 2659 + 129*j + d*j - 227.
4*(j + 36)**2
Suppose 3*i = 4*x - 2228, -31*x - 3*i + 2252 = -27*x. Let k be (-2 + 10/3)/(x/1080). Suppose -3/7*h**2 - 3/7*h + k = 0. What is h?
-3, 2
Suppose -12*p = 8*p - 60. Suppose -14*s**3 - 18*s**2 - 15*s**3 - 120 + 26*s**p + 108*s = 0. Calculate s.
-10, 2
Let g(b) be the second derivative of 2 + 34/2