What is p?
1/5, 1
Let q(k) be the first derivative of -13*k - 2/3*k**3 + 4/5*k**2 - 1/25*k**5 + 4/15*k**4 - 8. Let c(o) be the first derivative of q(o). Factor c(t).
-4*(t - 2)*(t - 1)**2/5
Suppose -41*f = -4*c - 44*f + 9, 5*c - 2*f = 17. Let d = 163 - 61. Suppose -1351*t**4 + 406*t**4 - 20*t**2 - 238*t**3 - d*t**c = 0. Calculate t.
-2/7, -2/27, 0
Suppose 6*o - 4*o = 120. Let p = 65 - o. Let 6 + a**4 + 2 - 2*a - 4*a**3 + p*a**2 - 8 = 0. What is a?
0, 1, 2
Suppose 17*c = 10*c + 686. Suppose c*b = 74*b. What is o in 18/11 + b*o - 2/11*o**2 = 0?
-3, 3
Let j(f) be the first derivative of -6*f**3 + 627*f**2/2 - 510*f - 6414. Find w such that j(w) = 0.
5/6, 34
Let o(x) be the third derivative of -1/160*x**6 - 1/3*x**3 + 0 + 67*x - 1/120*x**5 + 1/840*x**7 + 1/8*x**4 - x**2. Let o(w) = 0. What is w?
-2, 1, 2
Factor -11163*j**3 + 288 - 2408*j - 1907*j - 84*j - 4433*j + 68442*j**2.
-3*(j - 6)*(61*j - 4)**2
Factor 10*u + 12*u**2 - 249*u**3 - 24 - 262*u**3 + 513*u**3.
2*(u - 1)*(u + 3)*(u + 4)
Let g(a) be the third derivative of -a**5/40 - 27*a**4/16 - 35*a**3 + 850*a**2. Solve g(j) = 0 for j.
-20, -7
What is h in -h**4 + 0*h - 7/2*h**3 - 2*h**2 + 0 + 1/2*h**5 = 0?
-1, 0, 4
Let w = 7396/49 - 29535/196. Determine l, given that w*l**2 + 47/2*l + 2209/4 = 0.
-47
Let s(b) be the first derivative of 4*b**5/5 - 20*b**4 + 272*b**3/3 - 128*b**2 - 2596. Factor s(h).
4*h*(h - 16)*(h - 2)**2
Let g = 6472/13615 - 91/1945. Factor 9/7*x - g - 9/7*x**2 + 3/7*x**3.
3*(x - 1)**3/7
Factor -i**5 - 460*i**2 + 20*i**4 - 523*i**3 + 420*i**3 + 616*i**2.
-i**2*(i - 13)*(i - 4)*(i - 3)
Solve 8/7*d**3 - 50/7*d - 48/7 - 1/7*d**4 + d**2 = 0.
-2, -1, 3, 8
Let m be 116/(-1 + 3)*962/195. Let q = -844/3 + m. Factor -q*c + 44/5*c**2 - 16/5*c**3 + 0.
-4*c*(c - 2)*(4*c - 3)/5
Let l(k) be the first derivative of 10*k**3/3 - 22*k**2 + 16*k - 80. Find w such that l(w) = 0.
2/5, 4
Factor -2064/7*i**2 - 15*i**4 + 0*i + 3/7*i**5 + 0 - 984/7*i**3.
3*i**2*(i - 43)*(i + 4)**2/7
Let n be ((-3)/12)/(9/(-12))*1758. Factor n*w - 681*w - 1 - 15*w**2 - 12 - 17.
-5*(w + 6)*(3*w + 1)
Let c be 1/840 - -1 - (-40 - -41) - 0. Let z(p) be the third derivative of 6*p**2 + 1/80*p**6 + 0*p**3 - 1/48*p**5 + 0*p - c*p**7 + 0 + 0*p**4. Factor z(g).
-g**2*(g - 5)*(g - 1)/4
Let a(c) = -c**3 + 30*c**2 - 29*c + 5. Let r be a(29). Suppose -u + 8 = r. Determine t so that 8/3*t**4 - 4/3*t**5 + 4/3*t**u + 0 + 0*t - 8/3*t**2 = 0.
-1, 0, 1, 2
Let r(l) be the second derivative of -l**4/22 + 19*l**3/11 - 102*l**2/11 - 1433*l. Let r(t) = 0. Calculate t.
2, 17
Let t = 38011 + -38011. Let n(c) be the first derivative of t*c + 2/45*c**5 - 8/27*c**3 - 4/9*c**2 + 1/18*c**4 - 50. Solve n(d) = 0 for d.
-2, -1, 0, 2
Let c(d) be the second derivative of -d**4/3 + 76*d**3/3 - 210*d**2 - 405*d - 1. Factor c(u).
-4*(u - 35)*(u - 3)
Let i(g) = g**3 - 12*g**2 - 86*g + 19. Let f be i(17). Let z(b) be the second derivative of 0 + 1/4*b**f + 1/24*b**4 - 1/6*b**3 + 12*b. Factor z(m).
(m - 1)**2/2
Let g(h) = -10*h**2 + 19*h + 13. Let o(t) = 5*t**2 - 9*t - 6. Let k(m) = 6*g(m) + 13*o(m). Let x be k(1). Solve -88*a + 6*a**x + 8 + 142*a - 70*a = 0.
2/3, 2
Let h be (28/4 + -42)*((-5 - -1) + 3). Let l(g) be the second derivative of -5/4*g**3 + 0 - h*g + 9/2*g**2 - 1/8*g**4. Suppose l(p) = 0. What is p?
-6, 1
Let o be 18/(-9) - (-12)/5. Let r = 1170 - 1168. Factor 6/5 + 4/5*p - o*p**r.
-2*(p - 3)*(p + 1)/5
Let q(y) be the third derivative of 3*y**6/40 - 29*y**5/40 + 31*y**4/16 + 3*y**3/2 - 46*y**2 + 7. Solve q(c) = 0 for c.
-1/6, 2, 3
Let 4*m**3 + 18/11*m**2 + 16/11*m**4 - 14/11*m - 4/11 = 0. Calculate m.
-2, -1, -1/4, 1/2
Let a = -2573023/13 + 197925. Factor -48/13*l - a*l**2 - 288/13.
-2*(l + 12)**2/13
Let a = -155/3 - -776/15. Let s(y) be the third derivative of 0*y**4 + 0 + 15*y**2 + 0*y - 1/10*y**6 - a*y**5 - 2/35*y**7 - 1/84*y**8 + 0*y**3. Factor s(w).
-4*w**2*(w + 1)**3
Let x(k) be the third derivative of 13*k**8/5040 - k**7/1890 - 209*k**4/24 - 5*k**2 - 13*k. Let a(n) be the second derivative of x(n). Factor a(w).
4*w**2*(13*w - 1)/3
Let x(s) be the third derivative of -s**6/420 + 83*s**5/105 - 55*s**4/28 - 2570*s**2. What is q in x(q) = 0?
0, 1, 165
Determine k, given that 54*k - 51587*k**3 + 18*k**4 + 51545*k**3 + 6*k - 2*k**5 - 2*k**2 = 0.
-1, 0, 2, 3, 5
Factor -83/7*w**3 + 5547/7*w + 0 - 1/7*w**4 - 1591/7*w**2.
-w*(w - 3)*(w + 43)**2/7
Suppose l + 3*h = 6*h, 4*l = -2*h + 42. Let b be ((-8)/28)/(l/(-63)). Factor 0 + 4/5*k - 4/5*k**b.
-4*k*(k - 1)/5
Suppose 0 = 4*a + 2*m - 20, -7*a + 26 = -5*a + 5*m. Solve j**4 - 159 + 78 - j**a + 81 = 0 for j.
0, 1
Let s(p) = 3*p**2 - 11*p + 1. Let w be s(4). Solve -20*z - 12 + 9*z**2 - 54*z**2 + w*z**4 + 72 = 0.
-2, 1, 3
Let f be (-8 - 2580/(-270))/(2/12). Let k(v) be the second derivative of 0 - f*v**3 + 40*v - 98*v**2 - 1/3*v**4. Factor k(z).
-4*(z + 7)**2
Let d(x) = -x**3 + 2*x**2 - 5*x + 1. Let k be d(2). Let r be (10/(-180))/(1/k). Factor -1/3*h + 1/6*h**2 + r*h**3 + 0.
h*(h + 1)*(3*h - 2)/6
Let x = 249011/47484 - -70/11871. Suppose -4 - 1/8*m**4 + 11/8*m**3 - x*m**2 + 8*m = 0. What is m?
1, 2, 4
Let u = 696 + -687. Suppose 0 = u*p - 72 + 54. Factor -16/5 + 2/5*f**p - 4/5*f.
2*(f - 4)*(f + 2)/5
Let p(y) be the second derivative of -5/42*y**4 + 2*y - 27 + 0*y**3 - 1/70*y**5 + 0*y**2. Suppose p(i) = 0. Calculate i.
-5, 0
Let f(q) = -q**3 - 40*q**2 + 306*q - 480. Let z(d) = 2*d**3 + 58*d**2 - 460*d + 720. Let g(m) = 8*f(m) + 5*z(m). Factor g(o).
2*(o - 6)*(o - 5)*(o - 4)
Find z such that 2198*z - 9275*z + 185*z**2 + 20*z**3 - 4250 + 1255*z - 11133*z = 0.
-34, -1/4, 25
Let z(g) be the first derivative of -10*g**2 - 56 - 48*g - 2/3*g**3. Factor z(m).
-2*(m + 4)*(m + 6)
Let m(t) = t**3 + 28*t**2 + 27*t + 2. Let x be m(-27). Solve 15*h + 9*h**x + 65*h + 21*h - 30 - 14*h = 0 for h.
-10, 1/3
Let b(p) be the first derivative of p**6/180 - p**5/60 - 5*p**4/3 - 27*p**3 + 161. Let o(v) be the third derivative of b(v). Factor o(d).
2*(d - 5)*(d + 4)
Let g(q) = 591*q - 215. Let m be g(-2). Let y = 12577/9 + m. Determine a, given that y - 2/9*a**2 - 2/9*a = 0.
-2, 1
Let u = -250 + 331. Factor u*f**2 - 2*f - 91*f + 5*f**4 - 27*f**3 - 2*f**4 - 2473 + 2509.
3*(f - 4)*(f - 3)*(f - 1)**2
Factor -2*r**2 - 157 + r**2 - 108 - 62 - 13495*r + 13167*r.
-(r + 1)*(r + 327)
Let f(x) be the third derivative of x**5/30 - 5*x**4/6 - 25*x**3 - 1874*x**2. Factor f(v).
2*(v - 15)*(v + 5)
Let p(i) = -10*i**3 + 14*i**2 - 63*i + 78. Let v(x) = -33*x**3 + 42*x**2 - 191*x + 236. Let m(y) = 10*p(y) - 3*v(y). Factor m(c).
-(c - 8)*(c - 3)**2
Let h(d) be the third derivative of d**8/84 - 8*d**7/105 - 19*d**6/30 - 14*d**5/15 - 395*d**2 - 3*d. Factor h(f).
4*f**2*(f - 7)*(f + 1)*(f + 2)
Let s = -138 - -141. What is g in -17*g**s + 208*g**2 - 562*g + 13*g**3 - 2142*g = 0?
0, 26
Suppose 108*h = -248*h + 15*h. Factor 6/25*x**2 - 2/25*x**4 + 4/25*x + h + 0*x**3.
-2*x*(x - 2)*(x + 1)**2/25
Factor 284/7 - 850/7*n - 2/7*n**4 + 846/7*n**2 - 278/7*n**3.
-2*(n - 1)**3*(n + 142)/7
Suppose 3*j - 1 = 3*x - 10, j - 2*x + 8 = 0. Let d be 4 - 4/(0 - j). Factor -g**2 - d*g + 4*g**3 - 5*g**2 - 1 + 10*g - g**4.
-(g - 1)**4
Suppose -173 + 23 = -25*z. Let i be z/(-4) - ((-65)/10 - -3). Factor 54/7 - 225/7*r - 3*r**3 + 132/7*r**i.
-3*(r - 3)**2*(7*r - 2)/7
Let t(x) = -x**2 - 14*x + 1101. Let l(q) = 3*q**2 + 57*q - 4419. Let y(b) = -2*l(b) - 9*t(b). Factor y(m).
3*(m - 17)*(m + 21)
Let i be (-2788)/(-119) - 2*(-6)/(-28). Let 2 + r + 8*r**4 - i*r**4 - 3*r**2 + 16*r**4 - r**3 = 0. What is r?
-1, 1, 2
Let n be 6579/10320 + (-1)/(2 - -3). Let l(m) be the second derivative of 3/80*m**5 + 19*m + 0 - n*m**4 - 27/8*m**2 + 15/8*m**3. Factor l(p).
3*(p - 3)**2*(p - 1)/4
Factor 30 - 8*i + 1/2*i**2.
(i - 10)*(i - 6)/2
Let m(w) be the first derivative of w**5/15 - 11*w**4/6 + 12*w**3 - 2*w**2 - 14*w - 63. Let c(u) be the second derivative of m(u). Factor c(o).
4*(o - 9)*(o - 2)
Suppose -3*f = -6, 0 = 2*i + f - 3*f - 6. Let -r**2 - 11*r**5 - 11*r**i + 4 + 20*r**5 + 8*r**3 - 6*r - 3*r**2 = 0. Calculate r.
-2, -1, 1
Let l(i) = 53*i - 223. Let d be l(17). Factor 27*r**3 - 660*r**4 + d*r**4 + r**2 + 3*r**5 + 11*r**2.
3*r**2*(r + 1)**2*(r + 4)
Let q(c) = 9*c**4 - 11*c**3 + 14*c**2 + 4*c + 40. Let p(b) = 55*b**4 - 65*b**3 + 85*b**2 + 25*b + 250. Let w(g) = 4*p(g) - 25*q(g). Suppose w(m)