 2
Let i(o) be the second derivative of 0*o**2 + 69*o + 1/12*o**3 + 1/120*o**6 - 1/48*o**4 + 1/168*o**7 + 0 - 3/80*o**5. Let i(t) = 0. What is t?
-2, -1, 0, 1
Suppose 33*k - 75 = 24. Solve 3*p**5 - 349*p - 144*p**k - 90 + 58*p + 195*p**2 - 525*p**2 - 14*p**4 + 2*p**4 = 0.
-3, -1, 10
Suppose 12*a - 23 = 1. Factor -50 - 6*p**a - 3*p**2 + 14*p**2 - 45*p.
5*(p - 10)*(p + 1)
Let u(i) = -99*i + 499. Let d be u(5). Let t(b) be the second derivative of 0*b**d + 0*b**2 + 0*b**3 - 15*b + 1/70*b**5 + 1/105*b**6 + 0. Solve t(g) = 0.
-1, 0
Let j be (-246)/(-50) - (10 + -7*(-180)/(-125)). Suppose 64/3*v**2 + 0 + 32/3*v**4 + 24*v**3 + 20/3*v + 4/3*v**j = 0. What is v?
-5, -1, 0
Suppose -11*r + 454 - 14 = 0. Suppose -2 + 20*b**2 + 8 - 6 - r*b + 5*b**5 + 30*b**3 - 25*b**4 = 0. Calculate b.
-1, 0, 2
Let c = -2525966/3 - -841992. Let -c*f**5 + 158/3*f**2 + 8 + 22*f**3 + 112/3*f - 14/3*f**4 = 0. What is f?
-2, -1, -2/5, 3
Let l(b) be the second derivative of 47*b + 34/135*b**6 - 46/45*b**5 + 8/9*b**2 + 17/9*b**4 + 0 - 1/63*b**7 - 49/27*b**3. Let l(x) = 0. What is x?
1/3, 1, 8
Solve 8788000/7 - 1/7*d**4 - 7020*d**2 + 386/7*d**3 + 1994200/7*d = 0.
-4, 130
Let h(r) = 8*r**4 - 290*r**3 + 233*r**2 - 14. Let z(y) = 4*y**4 - 142*y**3 + 117*y**2 - 6. Let j(k) = -3*h(k) + 7*z(k). Determine d so that j(d) = 0.
0, 1, 30
Suppose 0 = 10*o + 17 - 147. Suppose d - o - 18 = 0. Solve -10*r**2 - 20*r**2 + 0*r**5 + 8*r**4 + 3*r**5 + d*r**4 - 525*r + 375 + 138*r**3 = 0.
-5, 1
Let x(l) = l**2 + 30*l - 216. Let q be x(-36). Suppose 7*a + 6 = 3*w + 5*a, 2*w + 5*a + 15 = q. Factor -1/3*j - 4/3*j**2 + w.
-j*(4*j + 1)/3
Determine r so that 14/5*r**2 - 8/5*r + 2/5*r**3 - 56/5 = 0.
-7, -2, 2
Let t be 4260/(-165) + 16 - (-4 + -6). Factor -36/11 + 2*w - t*w**2.
-2*(w - 9)*(w - 2)/11
Let a(y) be the first derivative of 55 + 0*y**2 + 52/5*y**5 + 0*y**3 + 22/3*y**6 + 2*y**4 + 0*y. Suppose a(g) = 0. Calculate g.
-1, -2/11, 0
Let k(x) = -4666*x + 4668. Let m be k(1). Factor 5 - 145/2*u - 245/2*u**3 + 280*u**m.
-5*(u - 2)*(7*u - 1)**2/2
Factor 48/13 + 24/13*c**2 + 2/13*c**3 + 70/13*c.
2*(c + 1)*(c + 3)*(c + 8)/13
Suppose -74*b - 6691 = 1301. Let c be ((-1536)/b - 12)/(2/5). Factor 32/9*o + 8/9 + 2/9*o**5 + c*o**2 + 14/9*o**4 + 38/9*o**3.
2*(o + 1)**3*(o + 2)**2/9
Let f(i) = -20*i**2 - 45*i + 1. Let v(p) = p**3 - 2*p**2 + 1. Let a = -978 + 979. Let d(r) = a*f(r) - v(r). Factor d(l).
-l*(l + 3)*(l + 15)
Let b(t) be the second derivative of 11*t**6 + 67*t**5/4 - 655*t**4/12 - 5*t**3/3 + 940*t. Find p, given that b(p) = 0.
-2, -1/66, 0, 1
Let t(g) be the first derivative of g**6/63 - 16*g**5/21 + 61*g**4/14 - 568*g**3/63 + 20*g**2/3 + 6962. Determine b, given that t(b) = 0.
0, 1, 2, 35
Let m = 2186/12345 - 36/823. Let l(k) be the first derivative of 1/10*k**4 + 2/5*k - 1/5*k**2 + 6 - m*k**3. Factor l(c).
2*(c - 1)**2*(c + 1)/5
Suppose 660 = 37*b + 18*b. Suppose -5*t - 20 = 0, 0 = -b*y + 13*y + 5*t + 18. Factor -4/7*j**y - 8/7 - 12/7*j.
-4*(j + 1)*(j + 2)/7
Let r = 4455 + -4439. Let s(c) be the third derivative of 0*c + 0*c**4 + 0*c**3 + r*c**2 + 1/90*c**6 + 0 - 2/45*c**5. Determine z so that s(z) = 0.
0, 2
Let v(s) be the first derivative of -6*s + 3/4*s**4 + 15/2*s**2 - 4*s**3 + 80. Find t such that v(t) = 0.
1, 2
Let z(s) be the third derivative of -2*s**7/735 + 3*s**6/14 + 47*s**5/35 + 143*s**4/42 + 32*s**3/7 + 17*s**2 - 82*s. Factor z(m).
-4*(m - 48)*(m + 1)**3/7
Let l be 0/((-294)/637*26/(-4)). Solve -1/3*i**3 + 1/9*i**2 + 1/3*i**4 - 1/9*i**5 + l*i + 0 = 0 for i.
0, 1
Factor -2/5*z**2 - 72/5*z + 0.
-2*z*(z + 36)/5
Let t = -940493 + 940495. Determine r so that -79507/3 - 43*r**t + 1849*r + 1/3*r**3 = 0.
43
Factor 11534*d**2 + 72297*d**4 + 5946*d - 8297*d**4 - 2931*d - 3256*d + 2 - 1814*d**2 - 132800*d**3.
(d - 2)*(40*d - 1)**3
Let o(y) = 15*y**2 - 185*y - 182. Let n(g) = 15*g**2 - 185*g - 173. Let w(m) = -2*n(m) + 3*o(m). Factor w(j).
5*(j + 1)*(3*j - 40)
Factor 0 - 204/5*r - 4/5*r**2.
-4*r*(r + 51)/5
Suppose -14*y + 32 - 4 = 0. Suppose 5*r = -3*a + 21, 2 = -y*a - r + 3*r. Factor -9*m - 3*m**2 + a*m**3 - 9*m**2 - 5*m**3.
-3*m*(m + 1)*(m + 3)
Let g(c) = 5*c**3 + 410*c**2 + 2643*c + 2244. Let f(l) = -10*l**3 - 820*l**2 - 5282*l - 4486. Let p(v) = -3*f(v) - 7*g(v). Find r such that p(r) = 0.
-75, -6, -1
Let h(u) be the third derivative of u**7/504 - u**6/24 + 3*u**5/8 + 26*u**4/3 + 181*u**2. Let a(g) be the second derivative of h(g). Solve a(k) = 0.
3
Let a = 472658 - 472655. Find d such that -4/9*d**4 + 0 - 8/9*d - 20/9*d**2 - 16/9*d**a = 0.
-2, -1, 0
Let p(m) be the first derivative of 1/24*m**3 - 11/4*m**2 + 121/2*m + 15. Determine c so that p(c) = 0.
22
Let s be 26/(-5)*(-72)/(31968/185). Find l, given that s*l**2 + 1/6*l**5 + 0 + 2/3*l + 7/6*l**4 + 5/2*l**3 = 0.
-4, -1, 0
Let t(g) = -g**4 + 3*g**2 + 1. Let k(s) = 25*s**4 - 470*s**3 + 10485*s**2 + 24480*s - 34580. Let y(c) = -k(c) - 20*t(c). Factor y(f).
-5*(f - 48)**2*(f - 1)*(f + 3)
Let f(g) = -55*g**2 - 1170*g - 10710. Let c(o) = -3*o**2 - 69*o - 630. Let n(t) = 35*c(t) - 2*f(t). Find m such that n(m) = 0.
-6, 21
Let i = 274/135 - 88/45. Let m(f) be the second derivative of f - 4/135*f**6 - 1/18*f**4 + i*f**3 + 0 - 4/45*f**5 + 1/9*f**2. Solve m(p) = 0 for p.
-1, -1/2, 1/2
Let x(c) be the third derivative of c**6/540 + 23*c**5/270 + 7*c**4/18 - 2531*c**2. Determine f, given that x(f) = 0.
-21, -2, 0
Let r be (-6)/8 + 209/44. Let c(o) = 47*o**2 - 48*o**2 + 3*o - r*o. Let x(v) = -2*v**2 + 13*v. Let b(j) = 3*c(j) + x(j). Factor b(n).
-5*n*(n - 2)
Suppose -13*j + 48 = -4. Find l such that -10*l**3 - 28*l**2 - 10*l**3 - 27*l**j - 12*l + 23*l**4 = 0.
-3, -1, 0
Suppose -3*i - 67 = -76. Find d, given that 0*d**3 - d + 15*d**3 - 3*d**5 - 3*d**i - 8*d + 6*d**2 - 6*d**4 = 0.
-3, -1, 0, 1
Solve -7*y**2 - 267 - 13*y - 146*y + y**2 - 39 + 3*y**2 = 0.
-51, -2
Let u = 284/85 - 216/85. Factor u*a**3 + 4/5*a**4 - 4/5*a**2 - 4/5*a + 0.
4*a*(a - 1)*(a + 1)**2/5
Let v(y) be the first derivative of -169*y**5 + 715*y**4/4 + 2530*y**3/3 - 1920*y**2 + 1440*y + 296. Let v(u) = 0. Calculate u.
-2, 12/13, 1
Determine m, given that 6/5*m**2 + 5376/5 + 5382/5*m = 0.
-896, -1
Let i(o) = 30*o**3 - 7056*o**2 + 16731*o - 5578. Let c(a) = -14*a**3 + 3528*a**2 - 8365*a + 2790. Let k(v) = -5*c(v) - 3*i(v). Find r, given that k(r) = 0.
2/5, 2, 174
Suppose -d + 2 = 0, 13*h - 9*h = -3*d + 14. Let y be 0 + -3 - -2 - -89. Factor 28*p**4 - 10 + 64*p + 26 + y*p**2 + 12*p**h + 0*p + 76*p**3 + 4*p**5.
4*(p + 1)**3*(p + 2)**2
Let i(q) be the first derivative of -q**8/7560 - 11*q**7/3780 - 19*q**6/1620 - q**5/60 - 41*q**3 + 65. Let d(c) be the third derivative of i(c). Factor d(n).
-2*n*(n + 1)**2*(n + 9)/9
Let r(h) be the third derivative of h**7/2940 - h**6/420 - h**5/420 + h**4/28 - 28*h**3 - 84*h**2 - 1. Let u(g) be the first derivative of r(g). Factor u(x).
2*(x - 3)*(x - 1)*(x + 1)/7
Let w(b) be the second derivative of b**4/3 - 322*b**3 + 964*b**2 + 5252*b. Suppose w(o) = 0. Calculate o.
1, 482
Let l(q) be the second derivative of q**7/231 + 47*q**6/165 - q**5/110 - 47*q**4/66 - 6*q - 44. Solve l(r) = 0 for r.
-47, -1, 0, 1
Let l = -119 + 186. Let t be 1/(3 - 24/9). Factor 66*q**4 + 2*q**t - l*q**4 + q**3 - 2*q**2.
-q**2*(q - 2)*(q - 1)
Suppose 2*w = -4*z - 6, 0 = 4*w + 5*z + 60 - 57. Let d(b) be the second derivative of -1/7*b**2 + 48*b + 1/14*b**w + 0 - 1/84*b**4. What is o in d(o) = 0?
1, 2
Let b(z) = 9*z**3 - 3*z**2 - z + 1. Let r(n) = -128*n**3 + 44*n**2 + 38*n - 14. Let v(s) = -28*b(s) - 2*r(s). Factor v(u).
4*u*(u - 4)*(u + 3)
Suppose 0 + 162/7*g**2 - 108/7*g - 6*g**3 - 18/7*g**4 + 6/7*g**5 = 0. Calculate g.
-3, 0, 1, 2, 3
Let i = 425 - 422. Find v such that 3*v**i - 2656*v**4 + 795*v**2 + 2617*v**4 - 3*v**5 - 1387*v + 972 - 341*v = 0.
-9, 1, 2
What is d in 0*d + 0 + 148/9*d**3 + 14/9*d**5 + 10*d**4 + 16/3*d**2 = 0?
-4, -2, -3/7, 0
Let v be (27 + -582)*(-3 + 22/6). Let p = -366 - v. Find b, given that 0 + 6/7*b**3 + 1/7*b**p + 0*b + 5/7*b**2 = 0.
-5, -1, 0
Let p be 22/121*(0 + 1). Let c be (6 + -12)*(-24)/54*(-6)/(-44). Factor 8/11*z + 16/11 - c*z**2 - p*z**3.
-2*(z - 2)*(z + 2)**2/11
Let m(g) = -7*g**2 - 112*g - 273. Let n be m(-13). Suppose 40/3*t**3 - 12*t**2 + n - 4*t**4 + 8/3*t = 0. Calculate t.
0, 1/3, 1, 2
Let u be 0 + 5/(-80)*-12. Let c(i) be the first derivative of