t s(c) = -5*p(c) + 3*q(c). Let i(y) = 4*s(y) - u(y). Let i(m) = 0. What is m?
-17
Let q(p) be the second derivative of p**8/420 - p**6/30 + p**5/15 - 105*p**3/2 - 2*p - 2. Let v(b) be the second derivative of q(b). Let v(z) = 0. Calculate z.
-2, 0, 1
Let i(q) be the first derivative of -2*q**4/15 - 238*q**3/3 - 66454*q**2/5 - 99458*q/15 + 768. Suppose i(r) = 0. Calculate r.
-223, -1/4
Let m(t) be the second derivative of -t**5/20 + 15*t**4 - 2375*t**3/2 - 45125*t**2 - 2*t + 1278. Factor m(z).
-(z - 95)**2*(z + 10)
Let h = 3266 - 3263. Let z(j) be the first derivative of -1 - j + 3/2*j**2 + 1/4*j**4 - j**h. Solve z(a) = 0 for a.
1
Let v(t) be the third derivative of t**8/504 + t**7/35 + t**6/12 + 7*t**5/90 - 220*t**2. Factor v(z).
2*z**2*(z + 1)**2*(z + 7)/3
Let g(a) = -53*a**2 - 46*a + 7. Let f be g(-1). What is n in 1/2*n**2 - 2 + f*n = 0?
-2, 2
Let c(w) be the second derivative of -w**7/84 + 223*w**6/60 + 449*w**5/40 + 75*w**4/8 + 389*w. Suppose c(s) = 0. What is s?
-1, 0, 225
Let p = -1367 + 1387. Suppose p*o + 0*o - 40 = 0. Suppose -5/2*j - 1/2*j**3 + 1 + 2*j**o = 0. What is j?
1, 2
Let c = -278 - -278. What is x in 2*x**2 - x**3 + c + x**2 - 6 + 2 = 0?
-1, 2
Let a be 322 + -329 + (45/8)/((-3)/(-4)). Suppose -6*l + 0 + a*l**4 + 8*l**2 - 7/2*l**3 = 0. Calculate l.
0, 2, 3
Let r be ((-33418)/(-11935))/(56/30). Let 3*s**4 + 0 - r*s**3 + 0*s - 3/2*s**5 + 0*s**2 = 0. Calculate s.
0, 1
Let b = -131 - -193. Factor -b + 83625*j + 5*j**2 + 2 - 83605*j.
5*(j - 2)*(j + 6)
Let n(u) be the second derivative of 8/15*u**4 - 8/75*u**6 + 134*u + 0 + 8/25*u**5 + 64/5*u**2 + 1/105*u**7 - 16/3*u**3. Solve n(s) = 0.
-2, 2, 4
Let d(w) = -w + 1. Let m(n) = -4*n**2 + 87*n - 483. Let i(a) = a**3 + 18*a**2 + 15*a - 35. Let l be i(-17). Let h(k) = l*d(k) + m(k). What is t in h(t) = 0?
11
Let v be (-18)/6 + 10/(-15)*-9. Let -15 + 12*w**2 - 38*w - 23*w**2 - 8*w**2 - 13*w**2 - 10*w**v - w**4 = 0. What is w?
-5, -3, -1
Let y(f) be the first derivative of f**8/336 - f**6/30 - f**5/30 + f**4/8 + f**3/3 + 19*f**2 + 77. Let v(b) be the second derivative of y(b). Factor v(n).
(n - 2)*(n - 1)*(n + 1)**3
Let o be (0 + 4)*(-7378)/(-18972). Solve -o*l + 4/3 + 2/9*l**2 = 0 for l.
1, 6
Let p(k) be the first derivative of 5*k**6/6 - 3*k**5 - 175*k**4/4 - 75*k**3 + 85*k**2 + 240*k + 1601. Suppose p(s) = 0. Calculate s.
-3, -2, -1, 1, 8
Find d such that d**2 - 45 - 1/2*d**3 + 33/2*d = 0.
-6, 3, 5
Let s(u) be the second derivative of u**4/8 + 89*u**3/4 - 273*u**2/2 + 9903*u. Suppose s(w) = 0. Calculate w.
-91, 2
Find q, given that 25*q**2 - 13*q**2 + 2*q**4 + 2*q**3 + 368 - 2*q - 364 - 18*q**2 = 0.
-2, -1, 1
Factor 0 + 10/3*k**3 - 2*k**2 - 2/3*k**4 - 2/3*k**5 + 0*k.
-2*k**2*(k - 1)**2*(k + 3)/3
Let w(d) = -d**2 + 4*d. Let v(r) = -2*r**4 - 6*r**3 + 32*r. Let k(m) = -v(m) + 8*w(m). Solve k(t) = 0 for t.
-4, 0, 1
Let j = 1854280 - 1854259. Suppose j*z + 1/2*z**2 + 0 = 0. Calculate z.
-42, 0
Let p = -5809 - -5814. Let k(i) be the second derivative of 2/9*i**2 - 3*i - 1/27*i**4 + 0 - 1/27*i**3 + 1/90*i**p. Factor k(g).
2*(g - 2)*(g - 1)*(g + 1)/9
Let y(v) be the second derivative of -v**7/210 + v**6/60 + 40*v**2 + 17*v + 1. Let k(n) be the first derivative of y(n). Solve k(d) = 0 for d.
0, 2
Let k = -9168/5291 + -557764221/89947. Let t = 6207 + k. Determine c, given that -t*c + 0 - 2/17*c**3 + 24/17*c**2 = 0.
0, 6
Let q = -56 + 52. Let t be -12*(4 + q - (-2)/(-8)). Let 3*r**4 - 3*r**4 - t*r + 3*r**3 + 84*r**2 + 3*r**4 - 87*r**2 = 0. Calculate r.
-1, 0, 1
Let c(d) be the second derivative of d**5/10 - 11*d**4/2 + 58*d**3 + 208*d**2 - 36*d + 14. Factor c(a).
2*(a - 26)*(a - 8)*(a + 1)
Determine t, given that 1797*t + 149*t**2 + 4*t**3 + 3406*t - 3794 + 272*t - 3*t**3 - 1831 = 0.
-75, 1
Let p(y) be the first derivative of 4*y**5/5 + 40*y**4 + 800*y**3 + 8000*y**2 + 40000*y + 157. Factor p(v).
4*(v + 10)**4
Factor 92/3*n + 1/6*n**2 + 61/2.
(n + 1)*(n + 183)/6
Suppose -3591*r + 3413*r = 0. Suppose 4*x**2 + 1/2*x**5 + r - x**4 - 3/2*x**3 - 2*x = 0. Calculate x.
-2, 0, 1, 2
Factor 62*l**2 - 65*l**2 - 3460428 + 1429*l - 2887*l - 4986*l.
-3*(l + 1074)**2
Factor -46941 - 28*i**2 + 46941 + 4*i**3.
4*i**2*(i - 7)
Suppose 136 = -2*k - 6*k. Let s = 42 + k. Suppose -7*a - 8*a - 5*a**5 + s*a**2 + 25*a**2 - 60*a**3 + 30*a**4 = 0. Calculate a.
0, 1, 3
Suppose 0 = 11*i + 11*i - 8*i. Let c(p) be the third derivative of i - 1/40*p**4 + 1/300*p**5 + 0*p + 14*p**2 + 0*p**3. Find b such that c(b) = 0.
0, 3
Let f(h) = -2*h**2 + 7*h**2 - 10*h**2 - 30*h + 2*h - 50. Let d(z) = 6*z**2 + 27*z + 51. Let g(p) = 2*d(p) + 3*f(p). Factor g(i).
-3*(i + 2)*(i + 8)
Let q(s) be the first derivative of -s**8/420 + 2*s**6/45 + 25*s**3/3 + 49. Let y(r) be the third derivative of q(r). Suppose y(t) = 0. Calculate t.
-2, 0, 2
Let b = 1140310/11 - 103664. Let w be (-30)/(-44) - 8/16. Factor w*u**3 + 4/11*u**2 - b*u + 0.
2*u*(u - 1)*(u + 3)/11
Suppose -8*i + 23 = -7*i. Factor -220*h**2 + 168*h - 18 + i - 37.
-4*(5*h - 2)*(11*h - 4)
Let j = -3936149/8832 + 7/2944. Let s = -445 - j. Factor -2*d - s*d**2 - 4/3.
-2*(d + 1)*(d + 2)/3
Factor -6656814765 - 4*t**3 - 4175666*t - 14988*t**2 - 1136950231 - 14544346*t.
-4*(t + 1249)**3
Let l = -8044 + 16089/2. Let j(f) be the third derivative of -10*f**2 + 1/120*f**5 + 1/48*f**4 + 0*f - l*f**3 + 0. Factor j(c).
(c - 2)*(c + 3)/2
Let q(s) be the second derivative of 11/12*s**3 - 5/2*s**2 + 0 + 158*s - 1/24*s**4. Let q(t) = 0. What is t?
1, 10
Let s(d) be the third derivative of 0*d**3 + 1/20*d**5 + 1 + 8*d**2 + 1/40*d**6 + 0*d - 1/4*d**4. Factor s(j).
3*j*(j - 1)*(j + 2)
Let p(i) = -i**4 - 2*i**4 - 9*i**2 + 6*i + 20*i**2 + 2*i**3. Let n(q) = 16*q**4 - 9*q**3 - 55*q**2 - 30*q. Let g(r) = -4*n(r) - 22*p(r). Factor g(f).
2*f*(f - 6)*(f + 1)**2
Let q(z) be the first derivative of 5*z**4 + 64*z**3/3 + 22*z**2 + 228. Factor q(o).
4*o*(o + 1)*(5*o + 11)
Let l(n) = 8*n + 42. Let a be l(-3). Find s, given that 4*s**5 - 3530*s**2 - a*s**3 + 8*s**4 + 2*s**3 + 10*s + 2*s + 3522*s**2 = 0.
-3, -1, 0, 1
Solve -174*o - 586/5*o**2 - 98/5*o**3 + 18/5 = 0 for o.
-3, 1/49
Let d(z) be the third derivative of 1/50*z**5 - 3/5*z**3 - 227*z**2 + 11/40*z**4 + 0 + 0*z. Factor d(a).
3*(a + 6)*(2*a - 1)/5
Let z(t) be the second derivative of -1/12*t**4 + 0*t**2 - 84*t + 0 + 0*t**3 - 9/80*t**5. Factor z(s).
-s**2*(9*s + 4)/4
Let w(f) be the second derivative of 9*f**5/100 + 59*f**4/15 + 728*f**3/15 + 1312*f**2/5 + 5831*f. Suppose w(y) = 0. What is y?
-164/9, -4
Let o(w) = -23*w**2 - w - 5. Let t(m) = 695*m**2 + 260*m + 2775. Let d(k) = 30*o(k) + t(k). Factor d(h).
5*(h + 21)*(h + 25)
Factor 191*j + 347 - j**2 - 44*j + 286*j - 87*j + 0*j**2.
-(j - 347)*(j + 1)
What is p in -60*p**4 + 2*p**4 - 4367*p + 1672*p**2 - 2*p**5 - 228*p**3 - 2864*p + 5295*p = 0?
-22, -11, 0, 2
Determine u so that 3564*u**3 + 384*u + 155*u**2 - 598 - 158 - 3567*u**3 + 220*u**2 = 0.
-2, 1, 126
Let k(z) = 2*z**3 + 4*z**2 + 2*z + 2. Let m(u) = 0*u**2 + 3*u**2 - u - 8*u**2 + 6*u**2 - 1 + u**3. Let t(x) = -2*k(x) - 4*m(x). Suppose t(j) = 0. Calculate j.
-3/2, 0
Let i = 302437 + -907304/3. Factor 16/3*a**3 + 0 - i*a**4 + 2/3*a - 11/3*a**2.
-a*(a - 1)**2*(7*a - 2)/3
Suppose -120 = -818*x + 798*x. Let b(z) be the third derivative of 0*z**3 + 0*z + z**2 + 0*z**4 + 1/420*z**5 - 1/840*z**x + 0. Find y such that b(y) = 0.
0, 1
Let a(w) = -w - 1. Let y be a(-2). Let s be (4 + -6)/(2*y/(-5)). Factor 3*t**5 + 10 + 2*t**s + 15*t + 47*t**2 - 57*t**2 - 20*t**3.
5*(t - 2)*(t - 1)*(t + 1)**3
Let n be -5 + (1002/(-4))/(3 + -10). Let r = -59/2 + n. Find c such that 15/7*c**2 + 3/7*c**5 - r*c**3 + 0 - 6/7*c - 3/7*c**4 = 0.
-2, 0, 1
Let v(k) be the second derivative of k**5/60 - 7*k**4/27 + k**3/6 + 37*k - 5. Factor v(f).
f*(f - 9)*(3*f - 1)/9
Let m(w) be the first derivative of -w**5/150 - w**4/30 - w**3/15 + 25*w**2/2 - w - 81. Let k(f) be the second derivative of m(f). Suppose k(x) = 0. What is x?
-1
Let u(x) be the first derivative of x**3/7 + 57*x**2/7 + 720*x/7 + 2431. Determine j, given that u(j) = 0.
-30, -8
Let d(v) be the first derivative of 0*v + 0*v**2 - 66 - 3*v**4 + 8/3*v**3 + 6/5*v**5 - 1/6*v**6. Factor d(x).
-x**2*(x - 2)**3
Let z = 14613/12964 + 29/1852. What is l in z + 32/7*l - 10/7*l**2 - 40/7*l**3 + 8/7*l**5 + 2/7*l**4 = 0?
-2, -1, -1/4, 1, 2
Let b = 3