ate b.
-2/13, 1/3
Let n be (-4)/8*1533*(-12)/54. Let g = 171 - n. Let g*h + 0 + 11/9*h**2 + 1/3*h**3 = 0. What is h?
-3, -2/3, 0
Let m(g) = -g**2 + 3. Let i(j) be the third derivative of -j**5/30 + 4*j**3/3 + 13*j**2. Let t(p) = -3*i(p) + 8*m(p). Let t(b) = 0. What is b?
0
Let j(d) = -d**2 - 7*d + 100. Let l be j(7). Factor 7*i**3 - 5*i**2 + 4*i**l - 9*i**2 - 5*i**3 - 7*i**3.
-5*i**2*(i + 2)
Let u = 364019 + -1456075/4. Factor -3*d + 18 - 5/2*d**2 - u*d**3.
-(d - 2)*(d + 6)**2/4
Let t = -1/103154 - -1237861/1341002. Determine m, given that -2/13*m**5 + 0*m**3 + 0 - t*m**4 + 64/13*m**2 + 0*m = 0.
-4, 0, 2
Let x(v) = 7*v + 569. Let t be x(-27). Let h be (-304)/t - (-38)/10. Factor 2/3 - 4/3*q**2 + 2/3*q**4 + 0*q + 0*q**h.
2*(q - 1)**2*(q + 1)**2/3
Let o be (-1482)/(-2717) + 1530/462. Solve 0*x - 18*x**3 - 75/7*x**4 - o*x**2 + 0 - 12/7*x**5 = 0 for x.
-3, -1/4, 0
Let p = -488 + 534. Suppose -14*r = -10 - p. Factor 2/7 + 12/7*s**2 + 8/7*s + 8/7*s**3 + 2/7*s**r.
2*(s + 1)**4/7
Let f(r) = 79*r + 318. Let u be f(-4). Find c, given that -8/5 + 1/5*c**u + 2/5*c = 0.
-4, 2
Let o be 2*(3 - (-24 - -26)). Determine r so that -144/7*r + 8 + 10/7*r**o = 0.
2/5, 14
Let q(j) be the first derivative of -140/33*j**6 - 808/55*j**5 - 376/33*j**3 + 81 - 35/11*j**2 - 4/11*j - 419/22*j**4. What is c in q(c) = 0?
-1, -1/2, -2/7, -1/10
Let b(i) be the first derivative of -14*i + 4*i**3 + 2/5*i**5 + 95 + 4*i**4 - 8*i**2. Factor b(q).
2*(q - 1)*(q + 1)**2*(q + 7)
Let k(t) = -11*t + 24. Let l be k(2). Suppose -621 - 5*o**l - 430 - 614 + 160*o + 385 = 0. What is o?
16
Suppose 2*k = -t + 20, 2*t + 38 = 5*k - 3. Suppose -k*m = m - 2*m. Factor -4/3*y**3 - 8/3*y**2 + m - 4/3*y.
-4*y*(y + 1)**2/3
Let o = 2002 - 1965. Suppose 29*n - 124 = -o. Find m such that 25 + 6*m**2 + 45/2*m + 1/2*m**n = 0.
-5, -2
Suppose -3*j + 8 = -a, 2*j + 282 - 288 = a. Determine f, given that f + 1/11*f**j - 12/11 = 0.
-12, 1
Factor -164*c - 652*c - 22752 - 32736 - 2*c**2 - 2*c**2 + c**2.
-3*(c + 136)**2
Factor -13*a**2 + 132*a - 28*a**2 - 15*a**3 - 68 + 4*a**2 + 11*a**3 - 23*a**2.
-4*(a - 1)**2*(a + 17)
What is x in -368/5 + 674/5*x + 4/5*x**3 + 122/5*x**2 = 0?
-23, -8, 1/2
Suppose -5*m + 23 = -s, 2*m + 10 = 3*m - 2*s. Factor -21*d**3 - 4*d**2 + 17*d**3 + 4*d - 7*d**4 + 11*d**m.
4*d*(d - 1)**2*(d + 1)
Let i be -12*(-13)/1716 - (-9 - (-600)/66). Let 0*c + 1/2*c**3 + i - 29*c**2 = 0. Calculate c.
0, 58
Suppose 0 = -216*a - 459*a + 170100. Determine u so that 4/7*u**2 + 24*u + a = 0.
-21
Let n = -1449511/2 + 724784. Factor 12*v**2 - n*v + 18 - 3/2*v**3.
-3*(v - 4)*(v - 3)*(v - 1)/2
Let c = 83 + -80. What is x in 15 - 53*x**2 + 8*x**2 - 3*x - 10*x**3 + 6*x**4 + 6*x**3 - 17*x**c = 0?
-1, 1/2, 5
Suppose 5/2*d**4 + 0*d - 105*d**2 + 205/2*d**3 + 0 = 0. Calculate d.
-42, 0, 1
Let t = 1751/8770 + 3/8770. Let r(p) be the second derivative of 0 - 6*p**2 - 20*p - t*p**5 + 2/3*p**3 + p**4. Factor r(a).
-4*(a - 3)*(a - 1)*(a + 1)
Solve 140*x**2 + 147*x**3 - 125*x**3 - 133*x - 115*x - 18*x**4 + 48 = 0.
-3, 2/9, 2
Let i be (-116)/(-840) + 5/(-75). Let t(h) be the second derivative of 0 + i*h**4 - 1/70*h**5 + 0*h**2 + 7*h - 2/21*h**3. Factor t(o).
-2*o*(o - 2)*(o - 1)/7
Let d be -9 + (-368)/(-36) + (-15 + 3 - -11). Factor -2/9*f**2 - 4/9*f - d.
-2*(f + 1)**2/9
Let p(d) be the first derivative of -1/30*d**5 + 13/2*d**2 + 0*d**3 + 0*d - 1/240*d**6 - 1/16*d**4 + 22. Let b(r) be the second derivative of p(r). Factor b(t).
-t*(t + 1)*(t + 3)/2
Let j(r) be the third derivative of -11/12*r**5 + 0 + 0*r - 39*r**2 - 250/9*r**3 - 1/1260*r**7 - 325/36*r**4 - 31/720*r**6. Factor j(g).
-(g + 1)*(g + 10)**3/6
Let f(b) = -114*b - 109. Let p be f(-1). Suppose -2*i - p*c = -11, -9*c = 2*i - 14*c - 1. Factor 1/3*a**2 + 0 + 0*a**i - 1/3*a**4 + 0*a.
-a**2*(a - 1)*(a + 1)/3
Let n(x) be the third derivative of x**7/1365 - 4*x**6/195 + 12*x**5/65 - 32*x**4/39 + 80*x**3/39 - 8154*x**2. Solve n(g) = 0 for g.
2, 10
Let y(f) = -12*f - 88. Let w be y(-7). Let c(o) = 5*o**3 + o**2 + 7*o - 1. Let s(x) = 6*x**3 + 7*x - 2. Let m(t) = w*s(t) + 5*c(t). Solve m(p) = 0.
-3, -1
Let s(c) be the second derivative of 4*c**5 - 800/3*c**3 + 208*c + 1/6*c**6 + 0 + 10*c**4 + 1000*c**2. Determine i, given that s(i) = 0.
-10, 2
Let z(x) be the first derivative of -4*x**5/5 - 33*x**4 - 320*x**3/3 + 600*x**2 + 11024. Solve z(i) = 0 for i.
-30, -5, 0, 2
Factor 79*a**5 + 82*a**5 - a**3 - 159*a**5 - 12*a**4 + 30*a**2 + 7*a**3 - 10*a**2.
2*a**2*(a - 5)*(a - 2)*(a + 1)
Let g(r) be the second derivative of 47/6*r**4 + 1 + 1/15*r**6 + 24*r**3 + 6/5*r**5 + 36*r**2 + 52*r. Suppose g(d) = 0. What is d?
-6, -3, -2, -1
Let v(w) be the third derivative of -2*w**4 + 0*w**3 + 1/30*w**6 + 4/15*w**5 + 0*w + 74*w**2 + 0. Factor v(x).
4*x*(x - 2)*(x + 6)
Suppose 2*y - 12 = 3*q - 0, 4*y + 5*q = 68. Let t be ((-21)/y)/((-45)/40). Let -4/9*c**3 - t*c**2 - 16/9*c - 2/3 = 0. What is c?
-3/2, -1
Let p(t) = -3*t**3 + 2*t**2 + 6*t + 1. Let i be p(-3). Let d = -80 + i. Find m, given that 1/2 - 5/4*m**d + 3/4*m = 0.
-2/5, 1
Let t(i) = -162*i**3 + 104*i**2 - 1120*i + 3958. Let z(m) = -16*m**3 + m**2 - 1. Let b(c) = t(c) - 10*z(c). Factor b(a).
-2*(a - 31)*(a - 8)**2
Let t = 158735 + -952405/6. Find b, given that -t*b**2 + 20/3 + 35/6*b = 0.
-1, 8
Let f(o) be the second derivative of 2*o + 9 - 1/40*o**5 + 1/60*o**6 - 1/24*o**4 + 1/84*o**7 + 0*o**2 + 0*o**3. Let f(h) = 0. What is h?
-1, 0, 1
Let v be (-288)/(-56)*3*(-28)/18. Let r be (-3)/(226/(-28) - v/42). Find i such that -r - 12/5*i**2 - i**3 - 9/5*i = 0.
-1, -2/5
Let u = 247499/3 + -82496. What is d in -1/3*d**3 - 2 - 2*d**2 - u*d = 0?
-3, -2, -1
Let i(o) be the third derivative of -o**7/1680 - o**6/80 - 79*o**3/6 - 14*o**2. Let m(t) be the first derivative of i(t). Determine p so that m(p) = 0.
-9, 0
Let y(r) = 11*r**2 - 453*r - 456. Let v(f) = 15*f**2 - 450*f - 455. Let m(p) = -4*v(p) + 5*y(p). Factor m(d).
-5*(d + 1)*(d + 92)
Let b = -197 - -206. What is d in 1 + b*d - 9*d**2 - 19*d - 11*d - 7 = 0?
-2, -1/3
Let c(l) = l**5 + l**3 + 2*l**2 + 6. Let o(f) = -6*f**5 + 38*f**4 - 230*f**3 + 314*f**2 + 588*f - 24. Let d(p) = -4*c(p) - o(p). Factor d(u).
2*u*(u - 7)**2*(u - 6)*(u + 1)
Let p(d) be the first derivative of -4*d**5/5 + 15*d**4 - 52*d**3 - 254*d**2 - 288*d - 723. Factor p(o).
-4*(o - 9)*(o - 8)*(o + 1)**2
Let h(i) be the first derivative of -1/3*i**3 - 1/2*i**4 + 172 + 1/2*i**2 + 0*i. Solve h(y) = 0 for y.
-1, 0, 1/2
Let t(a) be the first derivative of -a**4/16 + 569*a**3/12 - 80655*a**2/8 - 81225*a/4 + 1413. Factor t(y).
-(y - 285)**2*(y + 1)/4
Let q(w) = -w**3 - 79*w**2 - 380*w - 4. Let h(j) = -3*j**3 - 318*j**2 - 1521*j - 18. Let k(t) = -2*h(t) + 9*q(t). Suppose k(i) = 0. What is i?
-18, -7, 0
Let -3195/2 + 330*w**3 - 3/2*w**4 + 3522*w - 2253*w**2 = 0. Calculate w.
1, 5, 213
Let b(u) be the second derivative of u**6/105 - 11*u**5/70 + 6*u**4/7 - 12*u**3/7 - 3*u - 654. Factor b(k).
2*k*(k - 6)*(k - 3)*(k - 2)/7
Let i(d) be the second derivative of d**7/189 - d**6/27 - 7*d**5/90 + 5*d**4/54 + 2*d**3/9 - 890*d. Find t, given that i(t) = 0.
-1, 0, 1, 6
Suppose 1555*c + 81 = 1582*c. Let h(l) be the first derivative of -11 - 16/5*l**5 - 4*l**2 + 0*l + 28/3*l**c + 5*l**4. Suppose h(x) = 0. What is x?
-1, 0, 1/4, 2
Let s(w) be the first derivative of w**6/240 - w**5/120 - w**4/24 + w**2/2 - 87*w - 15. Let f(z) be the second derivative of s(z). Factor f(p).
p*(p - 2)*(p + 1)/2
Let a(u) = -304*u - 9422. Let i be a(-31). Find f, given that -37*f**i - 35/4*f**4 + 3/4*f**5 + 14*f + 0 + 59/2*f**3 = 0.
0, 2/3, 2, 7
Factor 6*y - 20 + 17 - 7*y - y**2 - 3*y.
-(y + 1)*(y + 3)
Factor -779*b - 361 + 243*b**3 - 521*b**2 + 518*b**2 + 16*b**3 - 157 + b**4.
(b - 2)*(b + 1)**2*(b + 259)
Factor 1/2*g**3 - 37/2*g + 1/2*g**2 + 35/2.
(g - 5)*(g - 1)*(g + 7)/2
Let a(d) = 12*d**2 - 30049*d - 22590145. Let i(m) = -2*m**2 + 6010*m + 4518028. Let j(p) = -4*a(p) - 22*i(p). Determine l, given that j(l) = 0.
-1503
Suppose -950699*z = -950745*z. Solve 6/5*u**4 + 14/5*u**3 + z + 38/15*u**2 + 4/5*u + 2/15*u**5 = 0 for u.
-6, -1, 0
Let z(n) be the third derivative of -n**6/80 + 519*n**5/80 + 65*n**4/8 - 1273*n**2 - 2*n. Find l, given that z(l) = 0.
-1/2, 0, 260
Let c(x) = -2 + 2*x**2 + 3 - 6*x + 194*x**3 + 4*x - 193*x**3 + 5. Let f be c(-3). Determine t, given that 3/2