b**3*(b - 2)*(b + 2)/9
Let b be ((35/7)/(-60))/((-6)/(-24)) + (-140)/(-150). Find p such that -96/5 - 42/5*p + 51/5*p**2 - b*p**3 = 0.
-1, 2, 16
Let y(h) = 13 - 38*h - 5 - 20*h**2 - 6 + 11. Suppose -3*k - 60 = 15. Let t(m) = -160*m**2 - 305*m + 105. Let w(p) = k*y(p) + 3*t(p). Factor w(o).
5*(o + 2)*(4*o - 1)
Let o be (-106)/(-159) - (1 + 250/(-876)). Let a = o + 397/2190. Factor a - 2*b**2 - 40/3*b**3 + 4/5*b.
-2*(4*b - 1)*(5*b + 1)**2/15
Let w(f) = -2*f**3 - 2*f**2 - 2*f + 3. Let j be w(0). Factor -27*m**4 - 8*m**3 + 4*m**j + 24*m**4 + 6*m**3.
-m**3*(3*m - 2)
Let r = 9544 - 9541. Let m(d) be the first derivative of -45/32*d**4 + 0*d - 23 - 147/16*d**2 + 3/40*d**5 + 63/8*d**r. Suppose m(g) = 0. Calculate g.
0, 1, 7
Let y(a) = -4*a**2 - 105*a - 113. Let p(v) = v**2 + 3. Let m(i) = -3*p(i) - y(i). Determine b so that m(b) = 0.
-104, -1
Let n(v) be the second derivative of -5 - 2/3*v**4 - 6*v**2 + 2/3*v**6 - 2/21*v**7 + 14/3*v**3 - 12*v - 6/5*v**5. Factor n(g).
-4*(g - 3)*(g - 1)**3*(g + 1)
Factor -3/2*j**3 + 516*j - 255*j**2 + 0.
-3*j*(j - 2)*(j + 172)/2
Let o be (-2)/(-2) - (-7 + 3). Suppose -o*p + 15 + 5 = 0. Factor -3*a**3 + 2*a**3 + 7*a**3 - p*a**3 - 6*a**2.
2*a**2*(a - 3)
Factor -222/5*s**2 - 318/5 + 588/5*s - 48/5*s**3.
-6*(s - 1)**2*(8*s + 53)/5
Factor 3/7*o**2 - 156/7 - 153/7*o.
3*(o - 52)*(o + 1)/7
Let c(g) be the second derivative of -g**7/14 - 31*g**6/10 - 45*g**5/2 + 351*g**4 - 972*g**3 + 20*g + 27. Suppose c(l) = 0. What is l?
-18, 0, 2, 3
Let w(y) be the first derivative of 2/63*y**3 + 191 - 1/7*y**2 + 4/21*y. Let w(z) = 0. What is z?
1, 2
Let g(d) be the first derivative of -d**4/48 - 46*d**3/9 - 545*d**2/24 - 181*d/6 - 1190. Factor g(u).
-(u + 1)*(u + 2)*(u + 181)/12
Suppose 5*r + t - 6*t - 85 = 0, -4*t - 38 = -2*r. Suppose -11*f - 16 = -r*f. Factor -12*x**4 - 36 + 10*x**f + 29*x**4 + 90*x**3 - 84*x + 3*x**2.
3*(x - 1)*(x + 3)*(3*x + 2)**2
Let x(p) = -2*p + 4. Let w be x(1). Suppose 2*f = 8, -10 = w*h - f - 3*f. Solve h - 2*i**3 - 6*i - 88*i**2 - 1 + 94*i**2 = 0.
1
Let k = -6281/36 + 583/3. Let l(q) be the second derivative of -15/2*q**2 - 5/3*q**3 + 8*q**5 - 3*q + 8/9*q**6 + 0 + k*q**4. Determine b so that l(b) = 0.
-3, -1/4, 1/4
Let b = 144 - 140. Determine l, given that -b*l + 305 - 4*l**2 + 2*l**2 - 299 = 0.
-3, 1
Let z be 525/250*(-1320)/(-770). Factor 2/5*g**3 + 6/5*g + 2*g**2 - z.
2*(g - 1)*(g + 3)**2/5
Suppose 11 + 1 = 6*t - 3*t. Let v(j) be the first derivative of -30*j**5 + 75/2*j**2 - 23 + 125/2*j**t - 10*j - 200/3*j**3 + 35/6*j**6. Let v(y) = 0. What is y?
2/7, 1
Let h = 226452 + -1132252/5. Let i(z) = z**3 + 11*z**2 - z - 11. Let x be i(-11). Factor x*v - h*v**3 + 0 + 2/5*v**4 + 6/5*v**2.
2*v**2*(v - 3)*(v - 1)/5
Find m, given that -19*m - 9/2*m**4 + 6 + 15/4*m**3 + 29/2*m**2 = 0.
-2, 2/3, 3/2
Find d, given that 0 + 1/3*d**2 + 78*d = 0.
-234, 0
Let z be (-7 - 1)*(-5)/30*3. Suppose 20*x**2 - 4*x**3 + 23*x**4 + 40*x**3 - 4*x**2 + x**4 + z*x**5 = 0. Calculate x.
-4, -1, 0
Let s(q) be the second derivative of 4/15*q**4 + 0*q**2 + 0*q**3 + 2/105*q**7 + 8/25*q**5 + 2/15*q**6 + 0 - 104*q. Factor s(d).
4*d**2*(d + 1)*(d + 2)**2/5
Suppose 450*q + 144*q = -123*q - 137*q. Suppose 0*a**2 + 2/9*a**3 + 0*a**4 + q - 2/9*a**5 + 0*a = 0. Calculate a.
-1, 0, 1
Suppose 13*l = 5 + 21. Factor -310*t**l + 8*t**3 + 150*t**2 + 148*t**2 - t**5 + t**4.
-t**2*(t - 2)**2*(t + 3)
Let o(h) = 29*h - 266. Let v be o(13). Suppose 71*s - v = 31. Factor -1/2*y + 0 - 1/4*y**s.
-y*(y + 2)/4
Let z be (-52)/12 + 4 - 164/3. Let r = z - -57. Let -4*x**2 + 4*x**2 - 9*x**5 + 7*x**3 + r*x**2 = 0. Calculate x.
-2/3, -1/3, 0, 1
Let f = -269908 - -269911. Determine t, given that 21/4*t**2 - 3/4*t**f - 21/4 + 3/4*t = 0.
-1, 1, 7
Find h, given that 83/3 + 1/3*h**3 - 1/3*h - 83/3*h**2 = 0.
-1, 1, 83
Suppose -10234 = -37*m - 2501. Determine s so that -5*s**2 - m*s**4 + 10*s - 5*s**5 + 2*s**3 + 10*s**5 - 17*s**3 + 214*s**4 = 0.
-2, -1, 0, 1
Suppose -66 = -3*m - 6. Let x be ((-2)/(-5))/(4/m). Factor 0*r**3 - 15*r + x*r**4 - 23*r**4 + 20*r**2 + 10*r**3 + r**4 + 5*r**5.
5*r*(r - 3)*(r - 1)**2*(r + 1)
Let x(t) = -17*t - 34*t + 6 - 14 - 111*t**2 - 51*t**3 + 14. Let c(l) = -53*l**3 - 111*l**2 - 51*l + 5. Let h(u) = 3*c(u) - 2*x(u). Find z, given that h(z) = 0.
-1, 1/19
Let d(b) be the second derivative of 0*b**2 + 0 + 0*b**3 + 31*b - 1/90*b**5 - 5/54*b**4. Find x such that d(x) = 0.
-5, 0
Let u = 114105 - 114084. Factor 0 + u*i + 3/2*i**2.
3*i*(i + 14)/2
Determine h, given that 2703/2*h - 1350 - 3/2*h**2 = 0.
1, 900
Suppose 2*f + a = 0, 2*a = 6*f - 2*f. Let l be f/(-1 + (-10)/(-15)*3). Suppose 1/3*t + l + 1/3*t**2 = 0. What is t?
-1, 0
Let u(p) = 404*p**3 + 6*p**2 - 8*p - 8. Let r(z) = 134*z**3 + 2*z**2 - 3*z - 3. Let y(h) = 8*r(h) - 3*u(h). Factor y(k).
-2*k**2*(70*k + 1)
Let y be -12*(7 + 130/(-15)). Suppose 29 - 7 - y*p + 12*p**2 - 8*p**2 + 2 = 0. Calculate p.
2, 3
Let l be -4 - (99/(-18))/(1/58). Let q be 300/l - (-2)/(-7). Find f, given that -q*f**2 + 2/3*f + 4 = 0.
-2, 3
Let 23*r - 69*r**2 - 53*r + 74*r**2 = 0. What is r?
0, 6
Solve 3/5*v**2 + 0 + 54*v = 0 for v.
-90, 0
Let o(y) be the first derivative of -y**4 + 260*y**3/3 + 268*y**2 - 5162. Find k, given that o(k) = 0.
-2, 0, 67
Let h = 3169/33 + -158/11. Let t = 1267/15 - h. Factor -4/5 + 8*f**2 - t*f - 22/5*f**3.
-2*(f - 1)**2*(11*f + 2)/5
Let i(u) be the first derivative of 7*u**4/18 - 220*u**3/27 + 73*u**2/9 + 20*u/3 + 3046. Factor i(g).
2*(g - 15)*(g - 1)*(7*g + 2)/9
Let j(t) be the third derivative of t**10/252000 + t**9/11200 - 311*t**5/60 + 298*t**2. Let x(q) be the third derivative of j(q). Factor x(v).
3*v**3*(v + 9)/5
Let i = 398 - 396. Let a be (-1)/3*12*-1. Suppose 0*k - 4*k**3 - 6*k + 19*k**2 - 5*k**3 - a*k**i = 0. What is k?
0, 2/3, 1
Let a(w) be the third derivative of 169*w**7/210 + 1157*w**6/120 + 1847*w**5/60 - 305*w**4/24 + 2*w**3 + 521*w**2. What is p in a(p) = 0?
-4, -3, 1/13
Let z = -5140198/15 + 342680. Factor -z*l - 4/15*l**2 - 2/15*l**3 + 0.
-2*l*(l + 1)**2/15
Let w(c) be the third derivative of -c**6/60 - 4*c**5/15 + 7*c**4/3 + 80*c**3/3 - 2*c**2 - 40*c + 4. Find k such that w(k) = 0.
-10, -2, 4
Let z(y) = -22*y**2 - 25*y + 0 + 18*y**2 + 12*y**2 - 3. Let v(b) = 19*b**2 - 50*b - 7. Let m(c) = 6*v(c) - 14*z(c). Factor m(r).
2*r*(r + 25)
Let w = -158 + 162. Factor 174*j + w*j**2 + 9604 + 113*j + 59*j + 46*j.
4*(j + 49)**2
Let z be 6 - ((-768)/(-1760))/((-5)/(-250)*4). Factor 72/11 - 6*s - z*s**2.
-6*(s - 1)*(s + 12)/11
Let i(m) be the third derivative of 0 - 1/12*m**8 + 2*m - 4/21*m**7 + 0*m**3 + 1/2*m**6 + 12*m**2 - 4/3*m**4 + 2/3*m**5. Find p such that i(p) = 0.
-2, -1, 0, 4/7, 1
Let i(v) = -v**3 + 9*v**2 - 4*v + 40. Let j be i(9). Factor -57*r**3 + 6*r**4 + 56*r**3 - 5*r**j.
r**3*(r - 1)
Let f(m) be the first derivative of m**4/18 - 544*m**3/9 + 55759*m**2/3 - 662596*m/9 - 2955. Factor f(a).
2*(a - 407)**2*(a - 2)/9
Let m(j) be the third derivative of -29*j**2 + 0*j**3 + 0*j**4 + 11/525*j**7 + 0 + 13/150*j**5 + 0*j - 1/840*j**8 + 1/12*j**6. Suppose m(t) = 0. Calculate t.
-1, 0, 13
Let t = 6684 + -167122/25. Let u = -101/200 - t. Factor 3/4*w**2 + 3/4*w**5 - u - 3/4*w + 21/8*w**4 + 3*w**3.
3*(w + 1)**4*(2*w - 1)/8
Factor -1/4*j**3 + 0 - 3/2*j**2 - 9/4*j.
-j*(j + 3)**2/4
Determine f, given that 258 + 1/2*f**2 + 55/2*f = 0.
-43, -12
Let p be 4/20 + (255/(-300))/(-17). Let b(v) be the third derivative of -2/3*v**3 + 0*v**5 - 5*v**2 + 0*v + 0 - 1/60*v**6 + p*v**4. Let b(d) = 0. Calculate d.
-2, 1
Let i(u) be the third derivative of 17/720*u**6 - 1/9*u**3 + 7/120*u**5 + 1/48*u**4 + 1/420*u**7 - 2*u**2 + 0 + u. Find f such that i(f) = 0.
-4, -1, 1/3
Let y = 43278 - 909100/21. Let d = y - -134/7. Find f, given that -5/3*f**2 - 20/3 - d*f = 0.
-2
Let u = -31340 - -125361/4. Suppose -3*w**2 + 0*w - u*w**3 + 0 = 0. Calculate w.
-12, 0
Let y = 3415 - 3415. Let q(w) be the third derivative of -w**2 + 1/60*w**5 + y + 0*w + 1/8*w**4 - 2/3*w**3. Factor q(f).
(f - 1)*(f + 4)
Let t = 1921/74 + -572/37. Suppose -5*p = 2*w - 64, 0*w = -2*p + 4*w + 16. Suppose -p + t*f**2 + 9/2*f**3 - 33*f = 0. What is f?
-4, -1/3, 2
Let f(s) be the second derivative of s**5/40 + 5*s**4/6 + 11*s**3/4 - 27*s**2/2 + 2556*s. Solve f(j) = 0 for j.
-18, -3, 1
Let r(c) be the second derivative of -6075/2*c**2 - 201*c - 1/4*c**