hat o(u) = 0.
-2, 0, 1/4, 1
Let i(v) = 4*v - 15. Let u be i(6). Factor -9*z**2 - 7*z**4 + 5*z**3 + u*z**2 + 2*z**2.
-z**2*(z - 1)*(7*z + 2)
Suppose -178 + 57 = -11*b. Suppose 13 + b = 8*t. Determine v, given that -1 - 5/3*v**2 + 7/3*v + 1/3*v**t = 0.
1, 3
Find z such that -9/2*z**2 + 3/4 - 9/8*z - 21/8*z**3 = 0.
-1, 2/7
Let u = 256 + -252. Let i(l) be the third derivative of u*l**2 + 0 + 1/24*l**4 + 1/60*l**5 + 0*l - 1/3*l**3. Factor i(k).
(k - 1)*(k + 2)
Let y = -1055 + 1119. Factor 4/3*k**3 - 16*k**2 - 256/3 + y*k.
4*(k - 4)**3/3
Let n(d) = -7*d**2 - d**3 - 14 + 38*d + 35*d - 75*d. Let l be n(-7). Factor -8/5*q**3 + l + 2/5*q**4 + 2*q**2 - 4/5*q.
2*q*(q - 2)*(q - 1)**2/5
Let d(v) = -2*v**2 + v + 3. Let k(y) = -1 + 2 + y**2 - 2. Suppose -12 = -4*g + 8*g. Let i(f) = g*k(f) - d(f). Let i(b) = 0. What is b?
-1, 0
Let 78/5*a**4 - 18/5*a**5 - 54/5*a**2 + 16*a - 24/5 - 62/5*a**3 = 0. Calculate a.
-1, 2/3, 1, 3
Let w be (0 - (-1)/10)/(2454/235944). Let x = w + -6/409. Factor 4/5*b**3 - 24/5*b**2 + x*b - 32/5.
4*(b - 2)**3/5
Let l = -10 - -10. Let i = 2 + l. Find w such that i + 1 + 2*w**2 - 5 = 0.
-1, 1
Let g = 1119 + -1115. Let l(d) be the second derivative of 0 - 4/27*d**3 - 1/189*d**7 + 2/9*d**g - 13/90*d**5 + 2/45*d**6 + 0*d**2 + 4*d. Factor l(u).
-2*u*(u - 2)**2*(u - 1)**2/9
Let 16/3 + 208/9*l + 148/9*l**2 + 28/9*l**3 = 0. Calculate l.
-3, -2, -2/7
Factor -2/5*k**3 + 2/5*k + 0*k**2 + 0.
-2*k*(k - 1)*(k + 1)/5
Let i(k) be the third derivative of -k**8/1008 - k**7/630 + k**6/120 + k**5/180 - k**4/36 + 244*k**2. Determine w, given that i(w) = 0.
-2, -1, 0, 1
Let u(o) be the third derivative of -3*o**5/20 + 19*o**4/8 - 3*o**3 + 3*o**2 - 2*o. Factor u(b).
-3*(b - 6)*(3*b - 1)
Suppose 0 = -466*q + 385*q + 243. Let 0 - k**5 + k**q + 0*k - 1/2*k**4 + 1/2*k**2 = 0. What is k?
-1, -1/2, 0, 1
Let d(b) be the third derivative of -b**6/12 - 2*b**5/15 + 11*b**4/12 - 2*b**3/3 + 18*b**2. Let d(t) = 0. What is t?
-2, 1/5, 1
Let l(o) be the first derivative of -3*o**5/35 - 9*o**4/28 - 2*o**3/7 + 91. Solve l(z) = 0 for z.
-2, -1, 0
Let b(u) = -25*u**4 - 30*u**3 - 15*u**2 - 40*u + 30. Let s(a) = a**4 + a**3 + a - 1. Let q(l) = b(l) + 30*s(l). Suppose q(n) = 0. Calculate n.
-1, 0, 2
Let a(t) be the second derivative of t**7/735 - t**5/70 + t**4/42 + 7*t**2 + 10*t. Let y(w) be the first derivative of a(w). Factor y(k).
2*k*(k - 1)**2*(k + 2)/7
Let p(i) be the second derivative of -i**6/180 - 2*i**5/15 - 4*i**4/3 + 11*i**3/6 + 16*i. Let s(x) be the second derivative of p(x). Let s(k) = 0. What is k?
-4
Let o(w) = 64*w + 325. Let i be o(-5). Let l(c) be the third derivative of 0*c + 0*c**3 + 1/3*c**i - 1/10*c**6 + c**2 + 1/3*c**4 + 0. Factor l(k).
-4*k*(k - 2)*(3*k + 1)
Let p(m) be the second derivative of m**4/21 + 6*m**3/7 + 85*m. Factor p(j).
4*j*(j + 9)/7
Let l(n) be the first derivative of -7*n**6/240 + 11*n**5/160 - n**4/24 - 14*n - 39. Let y(q) be the first derivative of l(q). Factor y(p).
-p**2*(p - 1)*(7*p - 4)/8
Suppose w = -2*p + 33, -2*w + 5*p + 0*p + 39 = 0. Let z be (138/w + -5)*6. Factor z*i**5 - 2/3*i**4 + 0 + 10/3*i**2 - 2*i**3 - 4/3*i.
2*i*(i - 1)**3*(i + 2)/3
Let k(r) be the third derivative of 0*r - r**2 + 1/16*r**4 + 1/40*r**5 + 1/240*r**6 + 0 + 1/2*r**3. Let g(v) be the first derivative of k(v). Factor g(m).
3*(m + 1)**2/2
Let o = 50/63 - 37/126. Determine w, given that -o*w**3 - w + 0 + 3/2*w**2 = 0.
0, 1, 2
Let t(y) be the second derivative of -y**6/225 - y**5/30 - y**4/30 + y**3/9 + 4*y**2/15 + 24*y + 2. Find k such that t(k) = 0.
-4, -1, 1
Let u(d) = 2*d**2 - 58*d + 2. Let s be u(29). Solve -6/5*f**s - 3/5*f**3 + 0 + 0*f = 0 for f.
-2, 0
Let i be (1 - (-13)/(-52)) + 10/8. Let y(q) be the second derivative of 1/30*q**4 + 0 + 0*q**3 + i*q - 1/5*q**2. Let y(g) = 0. What is g?
-1, 1
Let i(t) be the third derivative of 1/1080*t**6 + 0*t + 0 + 1/540*t**5 - 1/54*t**3 - 1/216*t**4 + 14*t**2. Factor i(h).
(h - 1)*(h + 1)**2/9
Let c(l) be the third derivative of -l**8/112 - 3*l**7/70 - l**6/20 + 12*l**2 + 1. Suppose c(d) = 0. Calculate d.
-2, -1, 0
Let f be 8 - 6 - (1 - 1). Solve -14 + 2*q**f + 51 + 13 + 2*q + 18*q = 0 for q.
-5
Let n(j) be the third derivative of -j**11/249480 + j**9/45360 + 19*j**5/60 - 12*j**2. Let v(a) be the third derivative of n(a). Find f, given that v(f) = 0.
-1, 0, 1
Let s(x) be the second derivative of 3/8*x**3 + 1/4*x**4 + 0*x**2 + 5*x + 0 + 3/80*x**5. Factor s(q).
3*q*(q + 1)*(q + 3)/4
Factor 1/5*u**3 - 9/5 - 7/5*u**2 + 3*u.
(u - 3)**2*(u - 1)/5
Suppose 48*z - 72 = 12*z. Let q(i) be the third derivative of -3/70*i**7 + 0*i + 1/4*i**4 + 1/6*i**3 + 2/15*i**5 + z*i**2 - 1/20*i**6 + 0. Factor q(y).
-(y - 1)*(y + 1)*(3*y + 1)**2
Let r(a) = 14*a**2 - 4*a - 4. Let v be r(-2). Let y be 50/24 + v/(-80). Determine m, given that -4/3*m + 4/3*m**4 - 4/3*m**2 + y*m**3 + 0 = 0.
-1, 0, 1
Suppose -164*z - 177*z + 308*z + 36*z**3 - 12*z**4 + 18 - 3*z**5 - 6*z**2 = 0. What is z?
-6, -1, 1
Suppose -15 = -5*d - 5*m, -d + 3 = -0*d - 3*m. Suppose 0 = -5*t + 7 + 3. Factor -i**t + 2*i**d + 0*i**3 - 531*i + 529*i + i**4.
i*(i - 1)*(i + 1)*(i + 2)
Let x be (13 - 3) + (-1 - 0). Find m such that -12*m**2 + 7 + x*m - 3*m**2 - 1 = 0.
-2/5, 1
Let f(l) be the second derivative of -l**7/231 + 2*l**6/55 - l**5/55 - 10*l**4/33 + 9*l**3/11 - 10*l**2/11 - 79*l. Let f(g) = 0. Calculate g.
-2, 1, 5
Let p(h) be the first derivative of 5*h**3/3 - 111*h**2/4 + 11*h/2 - 407. Find w such that p(w) = 0.
1/10, 11
Suppose 4*l + 5*p = -7, 2*l + 2*p = -2*p - 8. Factor 4*j + 2*j**3 - 3*j - j - 2*j**l.
2*j**2*(j - 1)
Suppose -v - h = -14, 5*v - 43 + 9 = 4*h. Let y = 518 - 496. Factor 0 - 17*r + 15*r**5 + 16*r**2 - 20*r**4 + 14*r**2 - v - 20*r**3 + y*r.
5*(r - 1)**3*(r + 1)*(3*r + 2)
Factor -1/3*q**5 - 12*q**4 + 1859*q - 392/3*q**3 - 754/3*q**2 - 4394/3.
-(q - 2)*(q - 1)*(q + 13)**3/3
Let a = 33521/10 - 3346. Let m = a - 28/5. Factor 0 - m*r**3 + 1/2*r + 0*r**2.
-r*(r - 1)*(r + 1)/2
Let a(z) be the second derivative of -z**6/210 + 3*z**5/70 - z**4/84 - 4*z**3/7 - 8*z**2/7 - 504*z. Factor a(q).
-(q - 4)**2*(q + 1)**2/7
Let i(n) be the third derivative of -1/42*n**7 + 0*n**4 + 0 + 0*n + 1/6*n**5 + 0*n**6 - 5/6*n**3 + 12*n**2. Factor i(r).
-5*(r - 1)**2*(r + 1)**2
Let d(j) be the second derivative of 5*j**4/24 - 175*j**3/12 + 85*j**2/2 - 5*j + 9. Determine s, given that d(s) = 0.
1, 34
Let h(p) be the first derivative of -5*p**4/4 - 45*p**3 + 5*p**2/2 + 135*p - 17. Factor h(x).
-5*(x - 1)*(x + 1)*(x + 27)
Factor 578/3 + 1/3*v**3 + 221/3*v - 32/3*v**2.
(v - 17)**2*(v + 2)/3
Suppose -15 + 39 = 4*x. Let c(m) be the third derivative of -117/80*m**5 + 0 - 1/2*m**3 - 81/160*m**x + 4*m**2 + 0*m - 5/4*m**4. Factor c(b).
-3*(b + 1)*(9*b + 2)**2/4
Suppose j - 2 = 3*c, 3*j - 11 = 6*c - 2*c. Let m(n) = 26*n + 2. Let b be m(c). Factor -102*o - b*o**3 + 6 - 13 - 14*o - 17 - 120*o**2.
-4*(o + 1)*(o + 3)*(7*o + 2)
Suppose -a = -5*o + 22, 7 = -a - 19*o + 21*o. Let x(l) be the first derivative of -5/4*l**4 + 5/2*l**2 - 13 - 5/3*l**a + 5*l. Factor x(y).
-5*(y - 1)*(y + 1)**2
Suppose 0 = -2*m + 4. What is u in -m*u**5 - 20*u**4 + 45*u**4 - 6*u**5 - 4*u**3 - 37*u**4 = 0?
-1, -1/2, 0
Let k(s) = 32*s**3 - 101*s**2 + 124*s + 257. Let l(p) = -11*p**3 + 33*p**2 - 42*p - 86. Let b(j) = 6*k(j) + 17*l(j). Let b(a) = 0. Calculate a.
-1, 2, 8
Determine s so that -3/2*s**4 + 0 - 3/4*s**5 + 9/4*s**3 + 0*s**2 + 0*s = 0.
-3, 0, 1
Suppose 3*n = 5*f - 8, -9*n + 4*f = -4*n + 22. Let q be 3/(27/15) + 6/n. Suppose 2/9*a**3 + 2/9 + 2/3*a**2 + q*a = 0. Calculate a.
-1
Let x be (-6)/(-9) + (-4)/(-3). Let l = -175 + 192. Factor 4 - 20 - y**x - 3*y**2 + l*y - y.
-4*(y - 2)**2
Let q(o) = -13*o + 17. Let p be q(1). Let l(w) be the second derivative of -2/33*w**p - 1/11*w**2 - 5*w + 0 + 4/33*w**3. Determine y, given that l(y) = 0.
1/2
Let k be 5/((-60)/(-46)) + 3/18. Find x, given that -2*x**2 + 0*x**3 - 8*x**k + 0*x**2 + 0*x**3 - 10*x**3 = 0.
-1, -1/4, 0
Find l, given that 15*l**3 + 9*l - 11*l**3 - 12*l**2 - l**3 = 0.
0, 1, 3
Suppose -40 = -8*x + 5*o, -8*o + 6*o = 0. Let q(v) be the first derivative of 8/7*v - 4/35*v**x - 1/7*v**4 + 4/7*v**3 + 10/7*v**2 + 3. Factor q(c).
-4*(c - 2)*(c + 1)**3/7
Let q = -1224 - -1226. Let w(f) be the second derivative of 1/9*f**3 + 0 + 0*f**q + 1/36*f**4 - 3*f. Solve w(r) = 0 for r.
-2,