0)*(g - 3)*(g + 2)
Determine t so that -94*t**2 - 836/3*t + 12*t**3 + 361 - 1/3*t**4 = 0.
-3, 1, 19
Let c(a) be the first derivative of -5*a**4/6 + 73*a**3/3 + 30*a**2 - 87*a - 192. Let k(j) be the first derivative of c(j). Let k(x) = 0. Calculate x.
-2/5, 15
Factor -84*n**2 - 24*n**2 + 360*n - 83*n**2 + 5*n**2 - 562*n**3 + 565*n**3.
3*n*(n - 60)*(n - 2)
Solve 540000/7*r - 1800/7*r**2 - 54000000/7 + 2/7*r**3 = 0 for r.
300
Let b = -7 + 7. Suppose b = -s + 7 - 3. Factor 3 - 19 + 4*o**2 - s*o + 16*o.
4*(o - 1)*(o + 4)
Determine x so that -79*x + 69/2 - 1/2*x**4 + 54*x**2 - 9*x**3 = 0.
-23, 1, 3
Let n be (-151263)/117 - 8 - 5. Let w = 1306 + n. Let w*z**2 + 12/13*z - 14/13 = 0. Calculate z.
-7, 1
Suppose 0 = -2*k - 3 + 31. Let o(c) = -2*c + 30. Let j be o(k). Let -8*p**j - 96*p**3 + 88*p**3 - 80*p**4 + 2*p + 19*p**2 = 0. Calculate p.
-1/4, 0, 2/5
Let t(d) = d**3 - d**2 + 1. Suppose 576 = -27*f + 3*f. Let l(n) = 20*n**3 - 40*n**2 - 12*n + 24. Let a(o) = f*t(o) + l(o). Factor a(g).
-4*g*(g + 1)*(g + 3)
Factor -537*g - 1875*g**2 + 3739*g**2 - 1868*g**2 - 331*g.
-4*g*(g + 217)
Let p be 15/18*(72/15)/3. Let r(x) be the second derivative of -p*x**2 + 1/120*x**5 + 7/72*x**4 + 2/9*x**3 - 13*x + 0. Factor r(s).
(s - 1)*(s + 4)**2/6
Let u(s) be the second derivative of -s**6/30 - 3*s**5/20 + s**4/2 + 4*s**3/3 + 12*s. Suppose u(o) = 0. Calculate o.
-4, -1, 0, 2
Let w be (60/96)/((-9)/(-72)). Let n(t) be the first derivative of -w*t**3 - 3/4*t**4 - 12*t - 12*t**2 - 15. Factor n(k).
-3*(k + 1)*(k + 2)**2
Let i = -246 - -251. Suppose 4*l + 8*m = 3*m - i, -2*m - 2 = 0. What is d in 4/9*d**2 + 0*d + l - 2/9*d**3 = 0?
0, 2
Let z = 345308 - 345305. Factor -g**5 - 4/3*g**z + 0*g**2 + 8/3*g**4 + 0*g + 0.
-g**3*(g - 2)*(3*g - 2)/3
Suppose 5*h - 4*h + 700 = 4*g, -3*h = 0. Suppose 7*l = 2*l + g. Suppose -4*k**5 + l*k**3 - k**5 - 30*k**3 = 0. Calculate k.
-1, 0, 1
Let r be (-24)/(-128)*(695/135 - 5). Let a(t) be the third derivative of r*t**4 + 1/180*t**5 + 14*t**2 + 0*t**3 + 0*t + 0. Find x, given that a(x) = 0.
-2, 0
Suppose 12*m + 5*b = 14*m - 366, -503 = -3*m - 4*b. Factor 173*t**4 + m*t**4 - 16*t**2 - 342*t**4.
4*t**2*(t - 2)*(t + 2)
Suppose 42 = 4*n + 34. Let 3*i**2 + 2*i**5 + 13*i**n + 125*i - 4*i**4 + 36 - 20*i**3 - 59*i = 0. What is i?
-2, -1, 3
Let q(w) be the first derivative of w**8/840 + w**7/35 + w**6/5 + 85*w**3/3 - 75. Let t(s) be the third derivative of q(s). Factor t(y).
2*y**2*(y + 6)**2
Suppose 4*g = 24*g + 360. Let r(u) = -10*u**2 - 352*u + 3890. Let s(b) = -2*b**2 - 88*b + 972. Let i(k) = g*s(k) + 4*r(k). Solve i(l) = 0 for l.
22
Let x be 8 + 1/(-2 + 15/9). What is b in 40*b - 100 - 16 - 10*b + x*b**2 - 19 = 0?
-9, 3
Let f(y) be the third derivative of -y**6/900 + 37*y**5/450 + 8*y**4/9 + 164*y**3/45 + y**2 + 2*y - 1724. Factor f(j).
-2*(j - 41)*(j + 2)**2/15
Suppose o + 48 = 14. Let r = -23 - o. Find l such that -r - 20*l + 11 - 5*l**2 = 0.
-4, 0
Suppose -h = 1 - 3. Find q such that -16*q**2 + 3*q**2 - 11*q**2 + 5*q**h - q**2 - 35 - 145*q = 0.
-7, -1/4
Suppose 0 = 59*q - 177. Suppose -25*k - 73*k**5 + 142*k**3 + 260*k**4 + 53*k**q + 30 - 220*k**2 - 44*k**5 + 17*k**5 = 0. Calculate k.
-1, -2/5, 1/2, 3
Let w(a) be the second derivative of -1/100*a**5 - 123*a + 0 - 1/10*a**2 + 1/60*a**4 + 1/30*a**3. Solve w(f) = 0.
-1, 1
Factor 3/2*f**3 - 27*f**2 + 126 + 195/2*f.
3*(f - 12)*(f - 7)*(f + 1)/2
Factor -429*a + 3/5*a**2 + 0.
3*a*(a - 715)/5
Suppose -3*a - 132600 = 37*a. Let f = a - -36544/11. Determine d so that 4/11*d - 58/11*d**2 + 7/11*d**5 + 8/11 + f*d**3 - 40/11*d**4 = 0.
-2/7, 1, 2
Let h be 639/(-1704) + 626/(-208) + 4. What is g in h*g**2 + 2/13*g - 8/13 - 2/13*g**3 = 0?
-1, 1, 4
Let v be 1/(4/10)*-45*(-40)/1500. Let n(t) be the first derivative of -2/3*t**v - 24 - 6*t + 4*t**2. Factor n(q).
-2*(q - 3)*(q - 1)
Let o(t) be the second derivative of -t**6/12 + 2*t**5/5 - 13*t**4/24 + t**3/6 + t - 289. Factor o(q).
-q*(q - 2)*(q - 1)*(5*q - 1)/2
Let a(j) be the second derivative of 1/30*j**5 + 0 - 5/18*j**3 + 0*j**2 + 1/180*j**6 + 65*j - 7/72*j**4. Factor a(y).
y*(y - 2)*(y + 1)*(y + 5)/6
Let l(k) be the first derivative of k**4/22 + 98*k**3/33 + 415*k**2/11 + 1950*k/11 - 1401. Factor l(q).
2*(q + 5)**2*(q + 39)/11
Let n(d) = -6*d**2 + 151*d - 57. Let v be n(25). Let u be 48/v - 15/(-10). Factor -2/11*w**4 + 2/11*w**3 + 4/11*w**2 + 0*w + u.
-2*w**2*(w - 2)*(w + 1)/11
Let u(k) be the first derivative of 0*k**2 + 0*k + 7/22*k**4 - 1/33*k**6 - 4/55*k**5 - 8/33*k**3 + 49. Factor u(g).
-2*g**2*(g - 1)**2*(g + 4)/11
Let l(s) be the second derivative of 7*s - 184/15*s**6 + 8/3*s**7 + 74/3*s**4 + 59/5*s**5 + 36*s**2 - 3 - 58*s**3. Solve l(g) = 0 for g.
-1, 2/7, 1, 3/2
Let x(y) be the third derivative of y**8/5040 + y**7/252 - y**6/30 + 11*y**5/20 + 49*y**2. Let i(r) be the third derivative of x(r). Let i(k) = 0. Calculate k.
-6, 1
Let q = 4/23263 + 2582177/93052. Determine l so that -3/4*l**4 + 45*l + 15/2*l**3 - 27 - q*l**2 = 0.
2, 3
Let z(i) be the third derivative of -7*i**2 - 1/2*i**4 + 0 + 1/10*i**5 + 1/60*i**6 + 2*i - 8/3*i**3. Find v, given that z(v) = 0.
-4, -1, 2
Let c(f) = -2*f**2 - 83*f + 132. Let z be c(-43). Suppose 43*y = 48*y + z*h - 13, 5 = 2*y + h. Solve -25/2 + 5/2*r**3 + 25/2*r**y - 5/2*r = 0 for r.
-5, -1, 1
Let h(g) be the first derivative of g**7/210 + g**6/30 + g**3/3 - 75*g**2/2 + 178. Let f(w) be the third derivative of h(w). Factor f(o).
4*o**2*(o + 3)
Let k be 29/(2001/(-575)) - -11. Let d(u) be the second derivative of 0 + k*u**3 + 32*u - 13/6*u**4 - 3/2*u**2 - 1/10*u**6 + 4/5*u**5. Factor d(h).
-(h - 3)*(h - 1)**2*(3*h - 1)
Let l(f) be the first derivative of -5/12*f**4 - 1/30*f**5 - 8/3*f - 10/3*f**2 + 86 - 11/6*f**3. Solve l(n) = 0.
-4, -1
Let v = -427 + 479. Let m be 2*(-3)/18 + v/84. Find x, given that 2/7*x**5 + 0*x - 4/7*x**4 + 0 + m*x**3 + 0*x**2 = 0.
0, 1
Factor -6/5*d**3 - 2/15*d**4 + 22/5*d**2 + 8/5 - 14/3*d.
-2*(d - 1)**3*(d + 12)/15
Let t(f) be the second derivative of -16*f**3 + 0 + 1/3*f**4 + 58*f + 288*f**2. Factor t(r).
4*(r - 12)**2
Factor -886/15*s**2 + 2/15*s**3 + 32856/5 + 6512*s.
2*(s - 222)**2*(s + 1)/15
Let x(l) = 4*l**2 + 23*l - 12. Let y be x(-6). Let a be (-12)/(-160)*8 - y/(-10). Solve 2/3*s**4 + a*s + 2*s**3 + 0 + 0*s**2 = 0 for s.
-3, 0
Let x(b) = 52*b**2 - 1. Let f(k) = 313*k**2 - 179*k + 694. Let u(d) = -f(d) + 6*x(d). Let u(m) = 0. What is m?
4, 175
Let a(r) = -2*r**3 - 13*r**2 - 7*r - 3. Let d be a(-6). Factor -2*w**3 + 0*w**3 - 5*w + 3*w**d + 4*w**3 + 10*w**2 - 10.
5*(w - 1)*(w + 1)*(w + 2)
Let k(w) be the third derivative of -1/12*w**6 + 1/105*w**7 + 1/10*w**5 + 0*w - 4/3*w**3 + 5/12*w**4 + 17*w**2 + 0. Find g such that k(g) = 0.
-1, 1, 4
Let a = -949906/9 - -105546. Suppose 0 + 1/9*n - a*n**2 + 16/9*n**3 = 0. What is n?
0, 1/4
Suppose 5*p = -4*b + 36, 5*p = 3*b + 3*p - 4. Factor -b*i**4 + 81*i + 2*i**2 - 16*i**3 - 41*i + 16*i**2 + 10*i**2.
-4*i*(i - 2)*(i + 1)*(i + 5)
Let j be (-75)/(-60) - (-1)/(-4) - -669. Suppose -2*q**2 + 5704 - 8166 + 12554 + j*q + 12353 + 7*q**2 = 0. What is q?
-67
Let q be (749 - 744)*(-136)/(-200). Suppose 2/5*y**4 - q*y**3 + 9/5*y - 2*y**2 + 0 = 0. What is y?
-1, 0, 1/2, 9
Let g(x) = x**2 + 11*x - 8. Let i be g(-12). Suppose 12 = i*p + 2*u - 32, -44 = -4*p + 3*u. Suppose -9*o**2 - 2*o - 16 + 4 + p*o**2 = 0. What is o?
-2, 3
Let d(z) = 2*z**2 - z + 1. Let h be d(1). Let u be (-8)/16*(h - 8). Let -17*p**2 + 7*p**2 - 18*p**u - 12*p**2 - 4*p = 0. What is p?
-1, -2/9, 0
Let d(h) = -132*h**2 - 224*h + 12916. Let r(u) = 49*u**2 + 75*u - 4306. Let z(t) = 3*d(t) + 8*r(t). Factor z(x).
-4*(x - 25)*(x + 43)
Factor -183*d**2 - 5*d**4 - 960 - 112*d**2 + 75*d**3 + 1040*d - 73*d**2 + 125*d**2 - 177*d**2.
-5*(d - 4)**3*(d - 3)
Let v(k) = -k**2 - 8*k - 4. Let u be v(-8). Let m be (-18)/36 - u/2. Determine y, given that m*y - 3/4*y**5 - 9/4*y**2 - 3/4*y**3 + 9/4*y**4 + 0 = 0.
-1, 0, 1, 2
Let g be 128/(-1920)*(-210)/28. Let 0*d - 5/2*d**3 - 1/2*d**4 - 3/2*d**2 + g*d**5 + 0 = 0. Calculate d.
-1, 0, 3
Let a(w) be the first derivative of 8/5*w**5 + 5*w**2 + 149 - 1/3*w**6 - 4*w - 4/3*w**3 - 2*w**4. Factor a(b).
-2*(b - 2)*(b - 1)**3*(b + 1)
Let n(m) be the second derivative of -m**7/42 - 33*m**6/10 - 1633*m**5/10 - 5973*m**4/2 + 1089*m**3/2 + 35937*m**2/2 + 2758*m. Find l such that n(l)