2*z**2.
-4*(z - 1)**2*(z + 2)**2
Suppose 2*q - n = 2*n + 16, 3*q + 10 = -4*n. Factor -18*f**q + 5509*f + 491*f + 40000 + 5*f**3 + 318*f**2.
5*(f + 20)**3
Let l(q) = -3*q**3 + 7*q**2 + 51*q - 53. Let u be l(5). Factor 1/2*h**4 + 3*h**3 + 9/2*h**u + 0 + 0*h.
h**2*(h + 3)**2/2
Suppose 11*k - 8 = 14. Factor -10*i**4 + 24*i**3 + 13*i**2 + 30*i**4 - 32*i - 29*i**k + 4*i**5.
4*i*(i - 1)*(i + 2)**3
Let h = 101399303/67532 - 5/67532. Find u such that 507/2 + 27/8*u**4 + 17319/8*u**2 - 693/4*u**3 + h*u = 0.
-1/3, 26
Let y(u) = 23*u**2 - 82*u**2 - 6344 + 0*u**2 - 70*u - 757*u + 24569. Let q(i) = -21*i**2 - 276*i + 6075. Let v(j) = -17*q(j) + 6*y(j). Let v(m) = 0. What is m?
45
Let o(w) be the second derivative of w**6/40 - 33*w**5/80 + 19*w**4/8 - 13*w**3/2 + 9*w**2 - 290*w. Factor o(d).
3*(d - 6)*(d - 2)**2*(d - 1)/4
Let p be -2 - -9 - 5/(15/12). Factor -3 - 12*a**2 - 4*a**2 + p*a**3 - 3*a + 19*a**2.
3*(a - 1)*(a + 1)**2
Suppose -4*l = -2*v, -l = -0*l + v - 6. Factor 380 + 4*g**l - 231 - 167*g - g + 1834 - 219.
4*(g - 21)**2
Find s, given that 3200/21*s - 10/21*s**4 + 152/3 - 1324/21*s**3 + 274/7*s**2 = 0.
-133, -1, -2/5, 2
Solve 1044*l + 211*l**2 + 1224 - 4*l**4 - 523*l**2 - 136*l**3 - 130*l**2 - 76*l**3 + 54*l**2 = 0.
-51, -3, -1, 2
Let p(b) = 2*b**3 + 125*b**2 - 742*b + 410. Let d be p(-68). Suppose -6/19*m**3 + 0 - 4/19*m + 14/19*m**d = 0. What is m?
0, 1/3, 2
Let d(g) be the second derivative of 4/5*g**2 + g - 1/15*g**4 - 20 + 2/15*g**3. Find q, given that d(q) = 0.
-1, 2
Suppose 5*z + 34*b - 35*b = 163, b + 95 = 3*z. Let w(u) be the third derivative of -z*u**2 - 1/24*u**4 - 1/60*u**5 + 0*u**3 + 0*u + 0. Solve w(v) = 0.
-1, 0
Let a = 262288/220693495 + -2/129439. Let l = 6806/11935 + a. Determine x, given that -24/7 + 52/7*x - 32/7*x**2 + l*x**3 = 0.
1, 6
Let u be (-10)/(-6)*((-198)/10 - 7 - -28). Find r, given that 0 + 0*r + 0*r**u - 8/3*r**3 + 2/3*r**5 + 2*r**4 = 0.
-4, 0, 1
Suppose -30 = 7*f - 9*f. Solve -54*i - 2*i**2 - 19*i - f*i - 968 = 0 for i.
-22
Let n(r) be the third derivative of r**5/20 - 159*r**4/4 + 25281*r**3/2 - 20*r**2 - 13. Factor n(m).
3*(m - 159)**2
Let o = -312 - -732. Let x = o + -417. Suppose -76/3*t - 8/3 - 82*t**2 - 98/3*t**4 - 301/3*t**x = 0. What is t?
-2, -1/2, -2/7
Suppose -18994*c = -18142*c - 1704. What is q in 1156/9 + 1/9*q**c - 68/9*q = 0?
34
Let p(f) be the second derivative of f**5/10 - 6*f**4 + 101*f**3/3 - 66*f**2 - 2*f + 11. Solve p(g) = 0.
1, 2, 33
Suppose 0 = -8*v + 3*v + 370. Suppose -4 = -4*y + 8, l = -4*y + v. Factor l*w**2 - 59*w**2 - 2 - w**3 + 2.
-w**2*(w - 3)
Let m = -24 + 27. Factor -3*b - 2*b**2 + m*b**3 + 5*b**2 + 3*b**2 - 4 - 2.
3*(b - 1)*(b + 1)*(b + 2)
Let p = -581 + 1751/3. Let c(v) be the second derivative of 2/15*v**6 + 10*v**2 + 4*v - 2*v**4 - p*v**3 + 4/5*v**5 + 0. Let c(t) = 0. Calculate t.
-5, -1, 1
Let b(d) be the first derivative of 44/21*d**3 - 64/7*d + 2/35*d**5 + 0*d**2 + 9/14*d**4 + 275. Let b(x) = 0. What is x?
-4, -2, 1
Suppose -5*j = 3*h + 6, -h - 5*j + 8 = -5*h. Let d be ((2 - 1)*1)/(h/(-6)). Solve -8*w - 5 - 10*w + d*w + 20*w**3 = 0 for w.
-1/2, 1
Let y = 334783/734 + 144/367. Let m = 457 - y. Let m*v**4 - v - 9/2*v**2 - 9/2*v**3 + 3/2*v**5 + 0 = 0. Calculate v.
-1, -1/3, 0, 2
Find n such that 2325*n - 4833*n - 160*n**4 - 5*n**5 + 2228*n - 710*n**2 - 585*n**3 = 0.
-28, -2, -1, 0
Let a(f) = 2*f**3 - 7*f**2 - 34*f + 36. Let x(m) = -m**3 - m**2 - 2*m - 3. Let u(w) = a(w) + x(w). Let d be u(11). Suppose d - 5*n + 5/4*n**2 = 0. What is n?
0, 4
Let g(z) be the second derivative of z**4/48 - 385*z**3/6 + 148225*z**2/2 - 4209*z. Factor g(a).
(a - 770)**2/4
Let f(k) be the second derivative of -k**4/36 + 1121*k**3/9 - 1256641*k**2/6 + 100*k - 10. Factor f(t).
-(t - 1121)**2/3
Let z(x) be the first derivative of 4*x**5/5 - 16*x**4 + 236*x**3/3 + 32*x**2 - 240*x + 786. Solve z(y) = 0.
-1, 1, 6, 10
Let z be (-12)/(-27)*6 - (-12)/(-9). Determine g, given that -g + 1/3 - z*g**2 = 0.
-1, 1/4
Let b(g) = g**3 + 3*g**2 + 2*g + 2. Let h be b(-2). Suppose 2*f = 3*c - 36, 5*f = 9*c - 5*c - 48. Factor 3*t**5 + c*t**2 - 12*t**h - 3*t**4.
3*t**4*(t - 1)
Determine m, given that -1/4*m**2 + 19/2*m - 78 = 0.
12, 26
Factor 88/3 + 58/3*s + 2/3*s**3 - 28/3*s**2.
2*(s - 11)*(s - 4)*(s + 1)/3
Let j(n) be the second derivative of 1/27*n**3 + 0*n**2 + 0*n**6 - 1/45*n**5 + 0*n**4 - 24 + n + 1/189*n**7. What is c in j(c) = 0?
-1, 0, 1
Factor -4/5*u**3 - 2 - 47/5*u - 29/5*u**2.
-(u + 2)*(u + 5)*(4*u + 1)/5
Let c(x) be the third derivative of 0 + 90*x**2 - 361/150*x**5 - 19/15*x**4 + 0*x - 4/15*x**3. Factor c(f).
-2*(19*f + 2)**2/5
Let l(j) = -16*j**2 - 146*j - 14. Let s be l(-9). What is u in -2/15*u**5 - 4/15*u**s + 0 + 0*u**2 + 0*u**3 + 0*u = 0?
-2, 0
Let v(a) be the first derivative of -a**3 + 123*a**2 - 5043*a - 1650. Factor v(c).
-3*(c - 41)**2
Let m be 18/279*(-16 - 2054/(-78)). Determine o, given that -m*o**2 - 32/3 - 20/3*o = 0.
-8, -2
Let m = 12779/128590 - -8/12859. Suppose -m*w + 1/10*w**2 - 1/5 = 0. What is w?
-1, 2
Let b(q) = -q**2 - 4*q - 2. Let m be b(-2). Suppose -28*p + 32*p**4 - 8 - 8*p**2 + 10*p**5 + 2*p**5 - 16*p**m + 16*p**3 = 0. Calculate p.
-1, -2/3, 1
Let u = -2188/765 + 49/17. Let n(t) be the third derivative of -2*t**2 + 0*t + u*t**5 + 1/945*t**7 + 1/135*t**6 + 1/27*t**4 + 0 + 1/27*t**3. Factor n(f).
2*(f + 1)**4/9
Let n(i) be the third derivative of i**7/105 - 229*i**6/60 + 91*i**5/6 - 227*i**4/12 - 6464*i**2. What is u in n(u) = 0?
0, 1, 227
Factor 590*y**2 + 298*y + 1370*y**2 - 1426*y + 411*y**2 - 12*y**3 + 1017*y**2.
-4*y*(y - 282)*(3*y - 1)
Let q be 1037/63 - 0 - (-25392)/59248. Factor -230/9*j - q - 1/3*j**2.
-(j + 76)*(3*j + 2)/9
Let f = -225358 + 225361. Let g be ((-1)/(-2) - -1)*2. Find a, given that -9/2*a + 0 - 1/2*a**g - f*a**2 = 0.
-3, 0
Let l(o) be the third derivative of -o**6/100 + 272*o**5/25 - 18496*o**4/5 + 211*o**2 - 2*o. What is q in l(q) = 0?
0, 272
Let g(v) be the second derivative of v**5/130 - 242*v**4/39 + 58564*v**3/39 + 1144*v. Find f, given that g(f) = 0.
0, 242
Let y(i) = i**3 + 114*i**2 + 342*i + 1002. Let h be y(-111). Let a = 155 - 617/4. Let -a - 3/4*l**h + 3/4*l + 3/4*l**2 = 0. Calculate l.
-1, 1
Suppose 0 = 2*j + 5*v - 13, 4*j - j + 3*v - 15 = 0. Suppose 4*r = -0*r - t + 58, -j*r = -t - 62. Factor -r + 68*i + 47*i**2 - 9 + 9*i**2.
4*(2*i + 3)*(7*i - 2)
Let x(d) be the first derivative of 5*d + 95 - d**2 + 1/15*d**3. Suppose x(q) = 0. Calculate q.
5
Let h = 26817 + -26815. Let o(m) be the first derivative of 4/5*m**5 - 18 - 64*m**h + 0*m + 6*m**4 + 0*m**3. Factor o(w).
4*w*(w - 2)*(w + 4)**2
Let l(s) be the first derivative of 13*s**4/34 - 16*s**3/51 - 3699. Suppose l(y) = 0. Calculate y.
0, 8/13
Suppose 4*w - 8 = 0, -5*o = -6*o - 3*w + 1133. Let z = -1123 + o. Solve 0 - 2/11*j**5 - 2/11*j**2 + 2/11*j**3 + 0*j + 2/11*j**z = 0.
-1, 0, 1
Let w be (-163)/(12551/(-154)) - 30/16. Factor -w*x**2 + 1/2 - 3/8*x.
-(x - 1)*(x + 4)/8
Suppose -10*x + 174 = -8*x + 3*i, 5*x = -3*i + 444. Solve -x*l**3 + 147*l - 52*l + 12*l**2 - 45 - 5*l**5 - 22*l**2 + 55*l**4 = 0 for l.
-1, 1, 9
Let t(v) be the second derivative of -2 + 0*v**5 + 0*v**2 + 1/30*v**6 - 1/12*v**3 - 1/12*v**4 + 1/84*v**7 - 2*v. Solve t(u) = 0 for u.
-1, 0, 1
Factor 3504*q**5 - 1227*q + 1229*q + 4*q**2 - 4*q**4 - 3506*q**5.
-2*q*(q - 1)*(q + 1)**3
Let r(j) be the second derivative of 1/12*j**4 - 18 - 19/2*j**2 - 3*j**3 - 6*j. Factor r(o).
(o - 19)*(o + 1)
Let r be 4/(-18) + (-3770)/(-522). Let m be 94 + -103 + 69/r. Factor 3/7*i**4 + 0 + 9/7*i**3 + m*i**2 + 0*i.
3*i**2*(i + 1)*(i + 2)/7
Let c(v) = -7*v**4 + 15*v**3 - 103*v**2 - 5*v + 5. Let r(n) = -12*n**4 + 27*n**3 - 207*n**2 - 9*n + 9. Let i(y) = 9*c(y) - 5*r(y). Find d such that i(d) = 0.
-6, 0, 6
Let m = 24 - 22. Factor 320*x**m - 216 + 4*x**3 - 15*x**3 + x**3 - x**3 - x**3 + 116*x.
-4*(x - 27)*(x + 1)*(3*x - 2)
Let i(v) be the first derivative of -2*v**5/25 - v**4/5 + 22*v**3/15 + 12*v**2/5 + 1208. Determine m so that i(m) = 0.
-4, -1, 0, 3
Let i be ((-4)/(-36)*3)/((-12)/324*-3). Let l(b) be the first derivative of 1/8*b**4 + 45 - 1/4*b**2 + 0*b**i + 0*b. Factor l(m).
m*(m - 1)*(m + 1)/2
Let b be (2*3/(-8))/(20/(-80)). What is l in l**b + 75*l - 15*l**2 - 128 + 3 + 0*l**3 = 0?
5
Factor 1800889/4*h**2 - 4011*h**3 - 742035*h + 9*h**4 + 308025.
(h - 