-1, 3
Suppose -740*l**4 + 1271/2*l**2 - 48 - 56*l**5 - 203*l + 5073/2*l**3 = 0. Calculate l.
-16, -1/4, 2/7, 3
Let g(b) be the third derivative of 0*b**4 + 0*b**3 + 2*b**2 - 176/105*b**7 - 2/5*b**5 - 4/21*b**8 - 3*b + 47/30*b**6 + 0. Let g(x) = 0. Calculate x.
-6, 0, 1/4
Suppose 2*w + 34 = v + 4*w, -5*v + 182 = -2*w. Suppose 25*i - v*i = 0. Factor i*u + 1/7*u**5 + 0 - 2/7*u**4 + 1/7*u**3 + 0*u**2.
u**3*(u - 1)**2/7
Determine x so that 1844 + 1152*x - 3354 - 84*x**2 - 3610 + 2*x**3 = 0.
10, 16
Suppose 161*x - 79*x = -125*x + 414. Solve 3*o**3 - 3/2*o - 45/2 - 45/2*o**4 - 3/2*o**5 + 45*o**x = 0 for o.
-15, -1, 1
Suppose -2*d - 14 = -6*u + u, 0 = -3*d - 6. Suppose 2*t**2 - 57*t + 8 - 4*t**2 + 6*t**2 + 6 + 0*t**u = 0. Calculate t.
1/4, 14
Let a(b) = 9*b**3 - 125*b**2 - 120*b - 28. Let d(f) = -2*f**3 + 25*f**2 + 24*f + 6. Let l(m) = -3*a(m) - 14*d(m). Factor l(s).
s*(s + 1)*(s + 24)
Suppose x + 5*x - 12 = 0. Suppose -1137*f**4 + 57192*f - 5055*f + 209952 + 1139*f**4 + 144*f**3 + 3888*f**x - 5481*f = 0. Calculate f.
-18
Suppose -72*b = -23*b + 98. Let q be b - (-40)/(-3 + (-30)/(-6)). Find x such that 6*x - 3/2*x**3 + 9/2*x**2 - q = 0.
-2, 2, 3
Suppose 2*o - 10 - 6 = -2*f, 28 = 5*f - o. Let u(p) = 4*p - 22. Let q be u(f). Determine x so that 9*x**q + 7*x - 14*x + 6 - 8*x = 0.
2/3, 1
Let b be (-1)/(18/28)*(7 + 5 - 21). Let v be (1/(-1))/(2/(-18)). Suppose v*h**4 - 20 - b*h**4 + 30*h**2 - 5*h**2 = 0. Calculate h.
-2, -1, 1, 2
Suppose 5*y = -2*n - 72, -3*y + 3*n = -7*y - 59. Let r be 24 + y + (-296)/36. Solve -2/9*u**2 - 32/9 - r*u = 0.
-4
Let w(s) = -6*s**3 - 19*s**2 + 1446*s + 5794. Let p be w(-4). Determine v so that -99/4*v**2 + p*v + 3/4*v**3 - 87 = 0.
2, 29
Let f = 4093/1092 - -1/546. Let b(p) = -13*p + 198. Let z be b(15). Factor -z*m**2 + f*m - 3/4.
-3*(m - 1)*(4*m - 1)/4
Let z(b) be the second derivative of -13*b**7/21 - 71*b**6/15 - 81*b**5/10 + 119*b**4/6 + 262*b**3/3 + 120*b**2 - 6928*b. Solve z(n) = 0 for n.
-3, -2, -1, 20/13
Let g be (-58 - 2)*(-36)/(-24). Let a be (6/(-216)*6)/(4/g). Solve 7/4*b**2 + a*b + 9/4 + 1/4*b**3 = 0.
-3, -1
Let h(n) be the first derivative of -n**6/105 + 3*n**5/35 + n**4/6 + 154*n - 104. Let f(t) be the first derivative of h(t). Factor f(x).
-2*x**2*(x - 7)*(x + 1)/7
Let l(j) = -7*j**2 + 9*j - 10. Let x(v) = 12*v**2 - 18*v + 20. Let t(s) = -5*l(s) - 3*x(s). Let o be t(3). Factor 80/3*g - 12*g**3 + 32/3 + o*g**2.
-4*(g - 2)*(3*g + 2)**2/3
Let g = -504 + 531. Suppose 0 = -18*c + g + 9. Factor 0 - 2/5*y**c - 8/5*y.
-2*y*(y + 4)/5
Let f = 2213/52 - 550/13. Let y(r) be the first derivative of -1/6*r**4 + 4 + 1/15*r**5 + 1/36*r**6 - 1/9*r**3 + f*r**2 + 0*r. Factor y(c).
c*(c - 1)**2*(c + 1)*(c + 3)/6
Let l(f) be the second derivative of f**6/75 - 47*f**5/50 - 101*f**4/30 + 49*f**3/5 + 493*f + 2. Factor l(w).
2*w*(w - 49)*(w - 1)*(w + 3)/5
Suppose 2*o - 6 = 0, 112 = -5*u - o + 140. Let a(r) be the second derivative of -14*r - 1/4*r**4 + 0*r**2 - 1/20*r**u - 1/3*r**3 + 0. Find i such that a(i) = 0.
-2, -1, 0
Suppose 3*c = -5*i + 358, -130*i + 2*c - 288 = -134*i. Factor -2*a**5 + 39015 + 8550*a**2 + 4*a**5 - 4*a**5 - 34425*a - i*a**4 - 3*a**5 - 50*a**3 - 51*a**4.
-5*(a - 3)**3*(a + 17)**2
Let k = -21103 + 21106. Let f(x) be the second derivative of 9*x - 1/20*x**5 + 1/3*x**4 - 1/30*x**6 + 1/2*x**2 + 0 + 1/84*x**7 - 7/12*x**k. Factor f(r).
(r - 1)**4*(r + 2)/2
Let z = 119473/3 - 39824. Determine d, given that -z*d**3 - 4/3 + d**2 + 0*d = 0.
-1, 2
Let c = 11 - -175. Factor 24*a**3 + c*a + 20*a**4 + 4*a**5 - 186*a.
4*a**3*(a + 2)*(a + 3)
Let r(b) be the first derivative of b**4/12 + 70*b**3/3 + 2450*b**2 + 274*b + 108. Let d(c) be the first derivative of r(c). Factor d(q).
(q + 70)**2
Let r(u) = u**3 - 3*u**2 + u. Let d(k) = k**3 + 5. Let z be d(-2). Let f(m) = -5*m**3 - 17*m**2 - 27*m. Let y(v) = z*r(v) - f(v). Factor y(j).
2*j*(j + 1)*(j + 12)
Let y = 52785 + -52783. Suppose -9/5*m - 9/5*m**y - 3/5*m**3 - 3/5 = 0. Calculate m.
-1
Factor -5*t**3 - 1296*t + 1216*t - 26*t**2 + 17*t**2 - 26*t**2 - 60.
-5*(t + 2)**2*(t + 3)
Let u(s) be the second derivative of -s**6/15 - 31*s**5/25 - 161*s**4/30 - 4*s**3 + 108*s**2/5 - s + 118. Determine n so that u(n) = 0.
-9, -2, 3/5
Let b(z) be the second derivative of 307*z**4/2 - 922*z**3/3 + z**2 + 2*z + 690. Suppose b(p) = 0. Calculate p.
1/921, 1
Let s be (-3)/2*48283/318. Let j = s + 6745/28. Factor 18/7 + j*a**2 - 60/7*a**3 - 66/7*a - 2/7*a**5 + 18/7*a**4.
-2*(a - 3)**2*(a - 1)**3/7
Solve 762/11*b - 2/11*b**2 + 764/11 = 0 for b.
-1, 382
Suppose 0 = 4*u - 14 + 6. Factor -10*f**u + 49*f**4 - 2 + 2 - 54*f**4 + 15*f**3.
-5*f**2*(f - 2)*(f - 1)
Let r(a) be the first derivative of 5*a**3/9 + 1640*a**2/3 - 2249. Determine p, given that r(p) = 0.
-656, 0
Let c(y) = -y**3 - y**2 + 1. Let a(q) = -2*q**5 - 8*q**4 + 16*q**3 + 40*q**2 - 8. Let f(w) = -a(w) - 8*c(w). Let f(g) = 0. What is g?
-4, -2, 0, 2
Suppose 91*m - 94*m + 6 = 0. Let d be (-1 - -12 - 3)/(7*m). Find i, given that 16/7*i**5 + 0 - 4/7*i**2 + d*i**4 + 2/7*i - 18/7*i**3 = 0.
-1, -1/2, 0, 1/4, 1
Let z(s) = s**2 - 738*s - 1480. Let a be z(-2). Let d(j) be the second derivative of 5/12*j**4 + a + 20*j**2 + 41*j + 15/2*j**3. Factor d(l).
5*(l + 1)*(l + 8)
Let r(s) be the second derivative of -1 + 1/42*s**4 - 8*s**2 - 71*s - 55/21*s**3. Find j such that r(j) = 0.
-1, 56
Let x(k) = 43*k + 129. Let o be 45/(-10)*((-55)/(-15) - 3). Let a be x(o). Factor 0*u**2 + 0*u - 3/4*u**4 + a - 3/4*u**3.
-3*u**3*(u + 1)/4
Factor 2/5*n**4 - 58/5*n**2 + 4/5*n**3 + 0 + 84/5*n.
2*n*(n - 3)*(n - 2)*(n + 7)/5
Let y(w) be the first derivative of -w**4/6 + 11*w**3/3 - 111*w + 39. Let t(f) be the first derivative of y(f). Factor t(n).
-2*n*(n - 11)
Suppose 103*o - 93*o = 20. Factor 501*w - 143*w + 82*w**2 + 2*w**4 + 2*w + 40*w**3 + 154*w**o + 162.
2*(w + 1)**2*(w + 9)**2
Let g = -78814/187 + 7168/17. Let t = 657 - 7221/11. Find p such that t - g*p**2 + 4/11*p = 0.
-1, 3
Let c(t) = t - 13. Let i(x) = 2. Let o(p) = c(p) + 6*i(p). Let z(u) = 3*u**2 + 38*u - 17. Let r(b) = 6*o(b) - z(b). Find a, given that r(a) = 0.
-11, 1/3
Factor 0 - 105*w**3 - 316/3*w**2 + 1/3*w**4 + 0*w.
w**2*(w - 316)*(w + 1)/3
Let u = -1/2588 + 3253/46584. Let k(f) be the second derivative of -u*f**4 + 1/9*f**6 - 5/36*f**3 + 1/6*f**5 + 0 + 0*f**2 - 3*f. Let k(q) = 0. Calculate q.
-1, -1/2, 0, 1/2
Let h = -4864 + 4868. Let w(l) be the second derivative of 13*l + 1/10*l**6 + 3/10*l**5 - l**3 + 0*l**h + 0 - 3/2*l**2. Factor w(y).
3*(y - 1)*(y + 1)**3
Let s(r) = -r**2 - 29*r + 166. Let m be s(-34). Let u(d) = -4*d**2 - 16*d + 4. Let k be u(m). Find v, given that 0*v**3 - 2/3*v**2 + 2/3*v**k + 0*v + 0 = 0.
-1, 0, 1
Let t(z) = z**3 + 16*z**2 + 19*z - 13. Let w be t(-14). Let j = -111 + w. Let 2*d**j - 3/2*d + 0 - 1/2*d**3 = 0. Calculate d.
0, 1, 3
Let i be 3*((-8)/4 + 5). Let t(j) = -j**3 + 9*j**2 + 4*j - 34. Let r be t(i). Solve 0 - 3/4*p**r + 1/4*p = 0 for p.
0, 1/3
Let m(z) be the third derivative of z**8/33600 - 2*z**7/525 + 16*z**6/75 - 9*z**5/10 - 43*z**2. Let t(l) be the third derivative of m(l). Factor t(i).
3*(i - 16)**2/5
Let s(o) = 13*o**2 + 14*o - 32. Let w(p) = 3*p**2 - 4*p - 10. Let l be w(2). Let g(y) = 15*y**2 + 12*y - 33. Let n(h) = l*s(h) + 5*g(h). Factor n(q).
-3*(q - 1)*(q + 9)
Let v(a) be the second derivative of -41*a - 1/42*a**4 + 16/21*a**3 + 16/7*a**2 - 1/70*a**5 + 0. Determine n so that v(n) = 0.
-4, -1, 4
Let z(o) be the first derivative of -o**6/36 + 137*o**5/30 - 271*o**4/24 + 15*o**3/2 + 7545. What is q in z(q) = 0?
0, 1, 135
Let x(z) be the third derivative of -1/30*z**5 + 35/36*z**4 + 0 + 92*z**2 + 4/3*z**3 + 0*z. Factor x(u).
-2*(u - 12)*(3*u + 1)/3
Let x(u) = -9*u + 143. Let h be x(15). Let m(f) = 2*f**2 - 10*f - 44. Let p be m(h). Factor 0 + 20/9*s**3 + 0*s + 8/3*s**2 + 4/9*s**p.
4*s**2*(s + 2)*(s + 3)/9
Determine h, given that -41772 - 1/3*h**2 - 236*h = 0.
-354
Suppose -12*f + 28064 + 17248 = 0. Suppose f*t - 12*t**3 - 26*t**2 + 0*t**4 - 8 - 3800*t - 2*t**4 = 0. What is t?
-2, -1
Let n = -42 + -3. Let q be n/(-12) + 1/4. Factor 0*l + 1/6*l**3 + 0 + 0*l**2 - 1/6*l**5 + 0*l**q.
-l**3*(l - 1)*(l + 1)/6
Let i(r) be the second derivative of r**9/15120 + r**8/3360 - r**6/360 - r**5/120 - 7*r**4/3 - 2*r - 13. Let m(y) be the third derivative of i(y). Factor m(t).
