 f be ((-405)/(-378))/(6/s). Factor 0 - 1/7*q**2 - f*q.
-q*(q + 5)/7
Let d(b) be the first derivative of -b**7/840 - b**6/180 + b**5/15 - 58*b**3/3 - 133. Let j(m) be the third derivative of d(m). Suppose j(n) = 0. What is n?
-4, 0, 2
Let w(i) = -6*i - 1 + i**3 - 3*i**3 + 31*i + i**2 - 7*i. Let z(c) = -2*c**3 - c**2 + 17*c - 2. Let x(s) = 3*w(s) - 4*z(s). Factor x(r).
(r - 1)*(r + 5)*(2*r - 1)
Let b(x) = -21*x + 96. Let u be b(16). Let g be 14/77 - (u/(-154))/(-4). Factor -2/7*o**2 + 1/7*o**3 - g*o + 8/7.
(o - 2)**2*(o + 2)/7
Let a(z) be the second derivative of z**4/60 + 37*z**3/15 + 572*z**2/5 - z + 4862. Factor a(j).
(j + 22)*(j + 52)/5
Let v(q) be the first derivative of -3*q**3 - 136*q**2/5 - 12*q/5 - 12362. Solve v(u) = 0.
-6, -2/45
Let b be 3/(-28)*4 + 1169/2499. Let r(h) be the first derivative of 0*h**2 + 1/17*h**4 + 0*h - b*h**3 - 2/85*h**5 - 2. Factor r(t).
-2*t**2*(t - 1)**2/17
Let p(r) be the third derivative of r**8/2016 + 2*r**7/315 + r**6/90 - 5*r**5/36 - 19*r**4/48 + 5*r**3/2 + 11*r**2 - 29*r. Let p(v) = 0. Calculate v.
-5, -3, 1, 2
Factor -3/7*i**5 - 102/7*i**4 - 114/7 + 438/7*i**3 - 96*i**2 + 453/7*i.
-3*(i - 1)**4*(i + 38)/7
Let g(j) = 3*j**3 + 7*j**2. Let m be g(-2). Determine b, given that -72*b**2 + 154*b - m*b**5 + 36*b**3 + 8*b**4 - 154*b = 0.
-3, 0, 2, 3
Let g(p) be the first derivative of -p**6/9 - 2*p**5/3 + 8*p**4/3 + 136*p**3/9 + 16*p**2 + 12233. Let g(k) = 0. What is k?
-6, -2, -1, 0, 4
Let p(t) be the first derivative of 5/6*t**4 - 3 - 11/2*t**2 + 1/12*t**5 + 0*t - 1/6*t**6 - 5/6*t**3. Let c(w) be the second derivative of p(w). Factor c(z).
-5*(z - 1)*(z + 1)*(4*z - 1)
Let v(r) be the third derivative of 0 + 155/6*r**4 + 0*r - 103*r**2 + 9610/3*r**3 + 1/12*r**5. Factor v(y).
5*(y + 62)**2
Let s(g) be the third derivative of -g**5/135 + 25*g**4/54 + 52*g**3/27 + 421*g**2. Factor s(x).
-4*(x - 26)*(x + 1)/9
Suppose -800*n + 816*n = 32. Solve 1/3*p**3 + 1/3*p**n - 4 - 8/3*p = 0 for p.
-2, 3
Let r = -2/530357 + 93342850/4773213. Factor r*o + 3872/9 + 2/9*o**2.
2*(o + 44)**2/9
Let u(z) = z**2 - 12*z + 9. Let d(r) = r**2 - 13*r + 8. Let t(g) = 4*d(g) - 5*u(g). Let m be t(3). Factor 3*n**2 - 57*n + 17*n + 5*n**m - 6*n**2 + 200.
2*(n - 10)**2
Let c(m) be the first derivative of m**6/2520 - m**5/21 + 50*m**4/21 - 10*m**3/3 + 29. Let u(d) be the third derivative of c(d). Factor u(q).
(q - 20)**2/7
Let q(k) = -720*k**2 + 64078*k + 131050. Let d(x) = -x**3 - 1440*x**2 + 128158*x + 262103. Let r(t) = 4*d(t) - 10*q(t). Find y, given that r(y) = 0.
-2, 181
Let g = 117 - 114. Factor -8*s**3 + 11*s**3 + 13 - 49 + 4*s**2 + 36*s - 7*s**g.
-4*(s - 3)*(s - 1)*(s + 3)
Let v(r) = 10*r**2 - 5*r - 10. Let n(z) = -9*z**2 + 4*z + 9. Let s = 1 + 19. Let c = s + -16. Let p(b) = c*v(b) + 5*n(b). Factor p(j).
-5*(j - 1)*(j + 1)
Let m = 2033 - 2143. Let i be 2/5 - (9009/m)/39. Suppose -i*r**2 - 1/2*r**4 - r + 0 - 2*r**3 = 0. Calculate r.
-2, -1, 0
Let x(d) = -d**3 - 124*d**2 + 3975*d - 8. Let u(q) = -9*q**3 - 991*q**2 + 31803*q - 68. Let c(i) = -6*u(i) + 51*x(i). Suppose c(y) = 0. Calculate y.
0, 63
Find n, given that -115 + 147*n - 70*n - 5*n**2 - 197*n = 0.
-23, -1
Let o(z) be the third derivative of z**5/60 + 5*z**4/6 - 7*z**3/2 + 15*z**2. Let i(q) = -q**2 + 1. Let r(s) = -4*i(s) + o(s). Factor r(a).
5*(a - 1)*(a + 5)
Let h(p) = 5*p - 1. Let y be h(1). Let d be 5/(350/168) - 2/(-20)*-4. What is u in -15/4*u**y - 3*u**5 + 9/4*u**3 + 15/4*u**d + 0 + 3/4*u = 0?
-1, -1/4, 0, 1
Let q(h) be the first derivative of 4/3*h**3 + 0*h - 1/5*h**4 - 8/5*h**2 - 67. Factor q(k).
-4*k*(k - 4)*(k - 1)/5
Let f(l) be the first derivative of -l**6/1080 + 61*l**5/180 - 3721*l**4/72 + 103*l**3/3 - 106. Let t(o) be the third derivative of f(o). Factor t(m).
-(m - 61)**2/3
Let l(m) be the second derivative of -m**6/30 - m**5/10 + m**4/4 + 4*m**3/3 + 2*m**2 - 85*m. What is t in l(t) = 0?
-2, -1, 2
What is k in 337/5*k**2 + 1/5*k**3 + 28223/5*k - 28561/5 = 0?
-169, 1
Find i, given that 254/7*i**3 - 96 + 8/7*i**4 - 416/7*i + 118*i**2 = 0.
-28, -4, -3/4, 1
Let g(d) be the second derivative of -d**7/5040 - 7*d**6/720 - 13*d**5/240 + 97*d**4/4 - 9*d + 8. Let l(a) be the third derivative of g(a). Factor l(n).
-(n + 1)*(n + 13)/2
Let p(a) = -49*a + 3. Let x be p(0). Let l(s) be the first derivative of -1/12*s**2 + 1/8*s**4 + 0*s + 1/9*s**x + 33. Suppose l(m) = 0. What is m?
-1, 0, 1/3
Let n(p) be the third derivative of -8*p**7/105 - 4*p**6/3 + 55*p**5/3 - 125*p**4/2 - 240*p**2. Factor n(d).
-4*d*(d + 15)*(2*d - 5)**2
Let y = 7117 + -7115. Let s(x) be the second derivative of 3*x**y + 0 + 2/3*x**3 - 5/6*x**4 - 3*x. Suppose s(a) = 0. What is a?
-3/5, 1
Suppose -12*s + 34 = -2. Let d = 261 - 1301/5. Factor 1/5 - d*a**s - 4/5*a + 1/5*a**4 + 6/5*a**2.
(a - 1)**4/5
Suppose 2*o - 3 = 3. Let a(i) = -2*i + 18. Let q be a(9). Factor 5*m**2 + m - 5*m**3 - 2 + q*m**3 + 4*m**o - 3*m**2.
-(m - 2)*(m - 1)*(m + 1)
Let m(x) be the first derivative of -x**5/70 - x**4/7 + x**3/21 + 6*x**2/7 + 59*x + 72. Let l(y) be the first derivative of m(y). Factor l(f).
-2*(f - 1)*(f + 1)*(f + 6)/7
Suppose 2*l + 3*j - 1 - 43 = 0, 2*j - 8 = 0. Determine k so that 1123 - 4*k**3 - l*k**2 + 96*k**2 - 372*k - 619 = 0.
3, 14
Let q(a) = -3*a**5 + 3*a**4 - 4*a**3 + 5. Let z be -1*10*(-2)/(-12)*3. Let m(f) = -4*f**5 + 4*f**4 - 4*f**3 + 6. Let y(s) = z*m(s) + 6*q(s). Factor y(o).
2*o**3*(o - 2)*(o + 1)
Let u be 12/154*(84 + -73). Let h be (-72)/(-18)*1/4*2. Factor -u*b**h - 6/7*b + 0.
-6*b*(b + 1)/7
Suppose -3*n = 3*g - 21, -4*g - 11 = 5. Let a be 5/(-2) + n/(154/45). Factor -1/7*f**2 + 0 + a*f.
-f*(f - 5)/7
Let n(w) be the third derivative of -w**7/210 + 11*w**6/120 - 13*w**5/20 + 49*w**4/24 - 10*w**3/3 + 1512*w**2. Let n(a) = 0. Calculate a.
1, 4, 5
Find s such that -2*s**4 + 60*s**3 - 256 + 89 - 204*s + 588 - 164*s**2 - 2*s**4 + 371 = 0.
-2, 3, 11
Suppose 2*a - 2*z - z = -12, -5*a - 17 = -z. Let y be (2 + 3)*(4 + a). What is o in 8 + 0*o**5 - o**5 + 3*o**y + 16*o**2 - 24*o - 6*o**4 + 6*o**2 - 2*o**3 = 0?
-2, 1, 2
Let w(n) be the third derivative of -n**7/280 - 19*n**6/160 + 21*n**5/40 - 984*n**2. Determine u so that w(u) = 0.
-21, 0, 2
Let s(x) be the first derivative of 3/40*x**5 + 3/32*x**4 - 1/16*x**6 - 1/8*x**3 + 0*x**2 - 9 + 0*x. Determine p, given that s(p) = 0.
-1, 0, 1
Let i be 880/(-50) + 21 + 8 + (-222)/30. Find q, given that -16/7*q**2 + 0 + 2/7*q**5 - 32/7*q + 16/7*q**i + 30/7*q**3 = 0.
-4, -1, 0, 1
Let a(i) be the second derivative of 55/4*i**4 - 43*i + 0 + 155/6*i**3 - 5*i**2. Solve a(y) = 0 for y.
-1, 2/33
Suppose 35 = -5*g, -222 + 243 = 4*n - 3*g. Let w(k) be the second derivative of 0*k**2 + n*k**5 + 1/14*k**7 + 0 + 3/10*k**6 + 0*k**3 - k**4 + 3*k. Factor w(l).
3*l**2*(l - 1)*(l + 2)**2
Let b(z) be the first derivative of -3*z**5/25 - 2901*z**4/20 - 579*z**3 - 8679*z**2/10 - 2892*z/5 + 12920. Factor b(q).
-3*(q + 1)**3*(q + 964)/5
Let b(u) be the third derivative of u**6/24 - 10*u**5/3 + 1045*u**4/24 - 425*u**3/3 + 51*u**2 + 2*u - 2. Suppose b(q) = 0. What is q?
1, 5, 34
Let n(p) be the third derivative of 61*p**2 + 1/480*p**6 + 0*p + 0 + 1/60*p**5 + 0*p**3 + 0*p**4. Solve n(a) = 0.
-4, 0
Let l be -10 - -8 - 99/(-27). Let v(k) be the first derivative of l*k + 1 - 3/2*k**2 + 1/12*k**4 + 1/3*k**3. Factor v(s).
(s - 1)**2*(s + 5)/3
Let p be 88560/6120 + (2/(-4) + 0)/((-1)/(-24)). Determine b so that 18/17*b**4 - 52/17*b**3 - 2/17*b**5 - p*b + 4*b**2 + 10/17 = 0.
1, 5
Let v(t) be the second derivative of 0 - 5/6*t**3 - 55/12*t**4 + 1/4*t**5 + 121*t + 55/2*t**2. Factor v(u).
5*(u - 11)*(u - 1)*(u + 1)
Let a(j) be the second derivative of 1/80*j**5 + 0*j**2 + 1/24*j**4 - 23 + j + 1/24*j**3. Solve a(b) = 0.
-1, 0
Factor 772/11 - 8/11*z**2 - 3086/11*z.
-2*(z + 386)*(4*z - 1)/11
Determine x so that -1497*x**3 - 63*x**4 - 1968*x + 249 + 96*x**4 + 3051*x**2 + 87 - 23*x**5 + 68*x**5 = 0.
-7, 4/15, 1, 4
Let s = -257/7 + 1292/35. Let y(x) be the second derivative of 5/3*x**4 + 4*x**3 - 23*x + 0*x**2 + 0 - s*x**5. Determine g, given that y(g) = 0.
-1, 0, 6
Factor -6571200*w + 900884638 + 2338*w**2 - 1206*w**2 + 2351*w**2 - w**3 + 957*w**2 + 2340907362.
-(w - 1480)**3
Let v(q) = 2*q**2 - 731*q + 64690. Let a(r) = r**2 - 366*r + 32340. Let g(x) = -11*a(x) + 6*v(x). Factor g(n).
(n - 180)**2
Let v(r) be th