uppose -2*d + 1 = r. What is b in d + 4/5*b - 2/5*b**2 = 0?
0, 2
Let q be (-1 - (-3)/6*5)/9. Let a(r) be the first derivative of -q*r**3 + 0*r**2 + 0*r - 1/8*r**4 - 1 + 1/12*r**6 + 1/10*r**5. Determine d so that a(d) = 0.
-1, 0, 1
Let n(h) = -18*h**2 - 58*h - 40. Let u(m) = 145*m**2 + 465*m + 320. Let v(f) = -25*n(f) - 3*u(f). Determine t, given that v(t) = 0.
-8/3, -1
Let t be ((-6)/8)/(-6 + 351/63). Determine m so that -5*m**2 - 2*m + 0 - 1/4*m**5 - 9/2*m**3 - t*m**4 = 0.
-2, -1, 0
Determine d so that 77*d**2 + 32*d - 82*d**2 + 140 - 46*d + 149*d = 0.
-1, 28
Suppose 0 = -19*o - 664 - 96. Let y be (6/o)/(11/(-55)). Factor y*s**2 - 3/2*s + 3/4.
3*(s - 1)**2/4
Let x = 65 - 62. Determine s so that -85*s**3 - 91*s**x + 160*s**3 + 4*s**5 + 8 + 12*s - 8*s**2 = 0.
-1, 1, 2
Let b(n) be the third derivative of n**5/540 - n**4/108 - 4*n**3/27 - 55*n**2. Factor b(t).
(t - 4)*(t + 2)/9
Let k(o) = 5*o**2 - 11. Let q(c) = 2*c**2 + 11*c. Let d be q(-6). Let v(z) = -10*z**2 + 21. Let l(r) = d*v(r) + 11*k(r). Factor l(s).
-5*(s - 1)*(s + 1)
Factor 0 - 31*w + 20 - 10 - 11*w**2 - 4.
-(w + 3)*(11*w - 2)
Let u be 0 + (2 - 2) - 1822/(-110). Let a = u - 81/5. Let a + 18/11*l**3 + 26/11*l + 40/11*l**2 = 0. Calculate l.
-1, -2/9
Let o(w) be the first derivative of -8*w**6/21 - 12*w**5/35 + 3*w**4/14 + 2*w**3/21 + 161. What is v in o(v) = 0?
-1, -1/4, 0, 1/2
Let f(b) be the third derivative of b**8/840 - 4*b**7/175 + 11*b**6/60 - 4*b**5/5 + 31*b**4/15 - 16*b**3/5 + 135*b**2. Determine x so that f(x) = 0.
1, 2, 3, 4
Find v, given that -v + 7 - v**2 - 12*v + 19*v = 0.
-1, 7
Find h, given that -48/5 + 68*h**2 + 8/5*h**4 - 94/5*h - 206/5*h**3 = 0.
-1/4, 1, 24
Let c(y) = -4*y**4 + y**3 - 8*y**2 + 2*y + 3. Let x(l) = -l**4 - l**3 - l**2 + 1. Let m(r) = -5*c(r) + 15*x(r). Let m(t) = 0. What is t?
0, 1, 2
Let i = -10231 + 10233. Suppose 3/4 - 9/8*v**3 + 9/8*v - 3/8*v**i - 3/8*v**4 = 0. What is v?
-2, -1, 1
Factor 5896/7*h - 88/7*h**3 + 8978/21 + 2/21*h**4 + 8444/21*h**2.
2*(h - 67)**2*(h + 1)**2/21
Let d = -3/12383 - -12392/37149. Determine k, given that -1/3 - d*k**2 + 2/3*k = 0.
1
Let l(f) be the second derivative of 1/12*f**2 - 1/36*f**3 + 1/180*f**6 + 0 + 10*f + 1/60*f**5 - 1/252*f**7 - 1/36*f**4. Factor l(t).
-(t - 1)**3*(t + 1)**2/6
Let f(c) be the third derivative of c**8/336 - c**7/30 + c**6/10 + c**5/15 - 2*c**4/3 - 164*c**2. Factor f(l).
l*(l - 4)*(l - 2)**2*(l + 1)
Factor -15*j**4 + j + 2*j**2 + 14*j**4 + 0*j**5 + j**5 - 2*j**3 + 0*j**2 - 1.
(j - 1)**3*(j + 1)**2
Let u(h) = -9*h**3 - 21*h**2 + 142*h - 343. Let o(n) = 7*n**3 + 21*n**2 - 143*n + 343. Let a(r) = 5*o(r) + 4*u(r). Factor a(v).
-(v - 7)**3
Let t(h) be the third derivative of 0*h**5 + 0*h + 13*h**2 + 0*h**6 + 0 + 0*h**3 - 1/1050*h**7 + 0*h**4. Let t(k) = 0. What is k?
0
Let f(b) be the second derivative of -3*b**5/10 + b**4/6 + 5*b**3/9 + b**2/3 - 546*b. Determine r, given that f(r) = 0.
-1/3, 1
Let k(b) be the second derivative of -7*b - 1/3*b**4 + 1 - 3*b**2 + 7/3*b**3. What is g in k(g) = 0?
1/2, 3
Let h(p) be the second derivative of 0*p**3 + 11*p + 1/6*p**4 - 1/30*p**5 + 0*p**2 + 0. Factor h(q).
-2*q**2*(q - 3)/3
Let h(j) = 51*j**3 + 11*j**2 - 61*j - 21. Let g(c) = 332*c**3 + 72*c**2 - 396*c - 136. Let v(m) = -5*g(m) + 32*h(m). Factor v(b).
-4*(b - 1)*(b + 1)*(7*b + 2)
Let z = 138266/85 - 8098/5. Factor -250/17*b**3 + 16/17 - z*b + 300/17*b**2.
-2*(5*b - 2)**3/17
Let v(o) be the first derivative of -o**6/660 + o**5/60 + o**4/33 + o**3/3 + 1. Let g(z) be the third derivative of v(z). Let g(k) = 0. What is k?
-1/3, 4
Let p be (1 - 4/3)*(-78)/91. Let d(b) be the first derivative of 20/21*b**3 + 8 + 1/21*b**6 + 2/7*b**5 + 5/7*b**4 + 5/7*b**2 + p*b. Factor d(k).
2*(k + 1)**5/7
Let r = 54 + -87/2. Factor -3 + r*j - 27/2*j**2 - 3/2*j**4 + 15/2*j**3.
-3*(j - 2)*(j - 1)**3/2
What is o in 0 + 2/9*o**2 - 104/3*o = 0?
0, 156
Suppose 1/6*m**3 - 4/3*m**2 + 0 + 5/2*m = 0. Calculate m.
0, 3, 5
Let o(x) be the second derivative of 0 + 6*x**3 + 32*x - 54*x**2 - 1/4*x**4. Solve o(y) = 0 for y.
6
Let x(i) = 51*i**4 - 21*i**3 - 115*i**2 - 65*i - 4. Let r(v) = -460*v**4 + 190*v**3 + 1035*v**2 + 585*v + 35. Let a(f) = 6*r(f) + 55*x(f). Factor a(g).
5*(g - 2)*(g + 1)*(3*g + 1)**2
Let g(r) be the third derivative of r**6/1020 + r**5/51 + 7*r**4/204 - 6*r**3/17 - r**2 + 21*r. Suppose g(l) = 0. What is l?
-9, -2, 1
Let h(d) be the third derivative of d**6/450 - d**4/30 + 4*d**3 + 3*d**2. Let b(l) be the first derivative of h(l). Factor b(m).
4*(m - 1)*(m + 1)/5
Factor -412/3*n - 42436/3 - 1/3*n**2.
-(n + 206)**2/3
Let l be (9/(-27))/((-10)/294). Let a = l - 33/5. Factor 3/5*p**5 + 13/5*p + 32/5*p**3 - 6*p**2 - 2/5 - a*p**4.
(p - 2)*(p - 1)**3*(3*p - 1)/5
Let h = -16 - -20. Factor -69*z**2 + 85*z**2 - h*z**3 - 1 + 1.
-4*z**2*(z - 4)
Let m(p) be the third derivative of 0*p + 1/240*p**5 - 11*p**2 + 0 + 0*p**3 - 1/96*p**4. Solve m(v) = 0.
0, 1
Let z(q) be the first derivative of q**4/26 + 142*q**3/39 + 1224*q**2/13 - 2592*q/13 + 467. Factor z(i).
2*(i - 1)*(i + 36)**2/13
Let i(h) = 4*h**2 - 446*h - 459. Let d(l) = -2*l**2 + 224*l + 230. Let b(x) = 9*d(x) + 4*i(x). Factor b(j).
-2*(j - 117)*(j + 1)
Factor 2/15 + 4/15*p**2 + 2/15*p**5 + 4/15*p**3 - 2/5*p**4 - 2/5*p.
2*(p - 1)**4*(p + 1)/15
Let d(p) be the third derivative of p**7/42 + p**6/4 + p**5/4 - 65*p**4/12 - 20*p**3 - 2*p**2 + 117*p. Suppose d(z) = 0. What is z?
-4, -3, -1, 2
Factor 9*u**3 + 36*u**2 + 6*u - 7*u**3 + 3*u + 58*u + 77*u.
2*u*(u + 6)*(u + 12)
Let u be (84/70)/((-6)/(-20)). Factor -3*m**u - 24*m**5 + m**3 + 27*m**5 - 16*m**3 - 9*m**2.
3*m**2*(m - 3)*(m + 1)**2
Let x(z) be the first derivative of -z**4/14 + 8*z**3/7 + 13*z**2/7 + 99. Factor x(d).
-2*d*(d - 13)*(d + 1)/7
Let t(b) be the first derivative of -b**6/120 + b**5/10 - b**4/2 + b**3 - 6. Let n(c) be the third derivative of t(c). Factor n(j).
-3*(j - 2)**2
Let o(s) be the second derivative of s**6/45 - 7*s**5/15 + 19*s**4/6 - 40*s**3/9 - 112*s**2/3 - 7*s - 17. Factor o(n).
2*(n - 7)*(n - 4)**2*(n + 1)/3
Let d = -2 + 3. Suppose -2*h - o - 2*o = d, -3*o = 15. Factor 4*q**3 - q**3 + 4*q**5 - h*q**5.
-3*q**3*(q - 1)*(q + 1)
Let n(g) be the second derivative of -11*g**4/30 - 9*g**3/5 + 18*g**2/5 + 379*g. Factor n(i).
-2*(i + 3)*(11*i - 6)/5
Find n, given that -740*n**2 - 26*n**3 - 240*n + 4*n**4 - 34*n**3 + 1012*n**2 - 576 = 0.
-1, 4, 6
Let d = 85 - 83. Suppose h - 17 + 4 = 5*o, -d*h - 2*o + 2 = 0. Factor 0*f - 9/7*f**h - 12/7 + 3*f**2.
-3*(f - 2)*(f - 1)*(3*f + 2)/7
Suppose 18*n = 14*n + 20. Let l(x) be the second derivative of 1/120*x**n + 0*x**4 + 0*x**2 + 0 - 4*x - 1/36*x**3. Determine r so that l(r) = 0.
-1, 0, 1
Let g(a) be the first derivative of 16*a**3/3 - 26*a**2 + 12*a - 178. Factor g(z).
4*(z - 3)*(4*z - 1)
Let s(z) be the first derivative of z**6/12 - 11*z**5/10 - 27*z**4/4 - 43*z**3/3 - 59*z**2/4 - 15*z/2 - 350. Factor s(x).
(x - 15)*(x + 1)**4/2
Let i be 38/9 + (-4)/18. Suppose -x - i*x = -15. Determine f so that -1 - 2*f**2 - 2*f**2 - 8*f**2 - 5 + 3*f**x + 15*f = 0.
1, 2
Let c = -2/80721 + 1614434/565047. Solve 0 - 16/7*t + 32/7*t**2 - c*t**5 - 32/7*t**4 + 36/7*t**3 = 0.
-2, -1, 0, 2/5, 1
Let f = -732 - -736. Let m(b) be the first derivative of 0*b**2 + 0*b + 4/3*b**3 + 32/5*b**5 + 7/3*b**6 - 10 + 11/2*b**f. Factor m(r).
2*r**2*(r + 1)**2*(7*r + 2)
Let k(d) be the first derivative of -d**3/9 - 10*d**2/3 - 72. Determine t so that k(t) = 0.
-20, 0
Suppose -4*a + a = 9. Let t be (a + (-1 - -3))*-2. Find b, given that -1 + 19*b**2 + 0 - 15*b**t + 3*b = 0.
-1, 1/4
Factor 166*j + 96*j**4 - 354*j**3 - 3*j**5 + 84 + 718*j**2 - 202*j**2 - 202*j - 303*j.
-3*(j - 28)*(j - 1)**4
Let d(x) be the first derivative of 7*x**6/15 + x**5/2 - 8*x**4/3 + 4*x**3/3 + 16*x - 13. Let h(c) be the first derivative of d(c). Factor h(q).
2*q*(q - 1)*(q + 2)*(7*q - 2)
Determine n so that 1/5*n**4 - 7/5*n**2 + 18/5 - 3/5*n**3 + 3*n = 0.
-2, -1, 3
Factor 1/2*k**2 - 5/2*k + 0.
k*(k - 5)/2
Suppose -s + 24 = -5*j, 3*s + 5 = 2. Let n be (1 + j)*(-2)/4. Determine y so that 3*y**n + 13*y - 13*y = 0.
0
Let f(c) be the third derivative of 1/280*c**6 - 10*c**2 + 0 + 1/1470*c**7 - 1/42*c**4 + 0*c**5 + 0*c**3 + 0*c. Solve f(g) = 0 for g.
-2, 0, 1
Let d(z) be the third derivative of -z**6/120 - 23*z**5/60 - 143*z**4/24 - 121*z**3/6 + 1