ermine i, given that w(i) = 0.
-1, 0, 1
Let t = 34052/5 - 6742. Let x = -68 + t. Find d, given that x*d**4 - 2/5*d - 2/5*d**5 - 4/5*d**2 + 4/5*d**3 + 2/5 = 0.
-1, 1
Determine q so that -2*q - 2050*q**2 + 3*q + 2049*q**2 = 0.
0, 1
Let p(o) be the first derivative of -o**5/30 + o**4/24 + o**3/18 - o**2/12 + 9. Factor p(l).
-l*(l - 1)**2*(l + 1)/6
Determine v so that -5*v**2 - 17*v + 16*v + 6*v = 0.
0, 1
Suppose m - 7 = -5. Factor x - 1/2*x**m - 1/2.
-(x - 1)**2/2
Determine h so that 7*h**4 + 6*h**3 - 4*h**3 - 5*h**4 = 0.
-1, 0
Let w(v) = -v**3 + 2*v**2 + 7*v + 6. Let y be w(4). Factor 3/7 - 9/7*k - 3/7*k**y + 9/7*k**3.
3*(k - 1)*(k + 1)*(3*k - 1)/7
Let q(c) be the third derivative of 0 - c**3 + 3/20*c**5 - 5*c**2 - 1/70*c**7 - 1/40*c**6 + 0*c + 1/8*c**4. Determine f so that q(f) = 0.
-2, -1, 1
Solve -3*q**2 - 4*q**2 + 9*q + 0*q**2 + 4*q**2 = 0.
0, 3
Let y be ((-2)/6)/((-2)/12). Let p be (-1)/(1/y*-1). Let 0*l - 3*l + 2*l + l**p = 0. Calculate l.
0, 1
Let b(u) be the first derivative of u**4/12 - 4*u**3/9 - 6. Find f, given that b(f) = 0.
0, 4
Suppose 0 - 3/8*f**2 + 3/8*f = 0. What is f?
0, 1
Let b(a) = -a - 4. Let o be b(-6). Solve -4*g + 2 + 3 + g**o + 7*g - 3 = 0 for g.
-2, -1
Let c = -136 + 139. Factor -1/4*k**4 + 0*k**2 + 1/4 + 1/2*k - 1/2*k**c.
-(k - 1)*(k + 1)**3/4
Let r(h) be the second derivative of -h**9/16632 - h**8/4620 - h**7/4620 - h**3/2 + 8*h. Let z(p) be the second derivative of r(p). Factor z(l).
-2*l**3*(l + 1)**2/11
Suppose -f = -48 + 44. Suppose r + 5*b = f*r - 24, 3 = -b. Factor 4/7*o + 0 - 6/7*o**2 + 2/7*o**r.
2*o*(o - 2)*(o - 1)/7
Suppose 5*y - 9 = 11. Let n(h) be the first derivative of 1 - 2/3*h**3 + 0*h - 1/2*h**y + 2/5*h**5 + h**2. Factor n(i).
2*i*(i - 1)**2*(i + 1)
Let p(n) be the first derivative of -2/5*n**4 + 0*n**2 + 2/15*n**3 + 0*n + 3. Suppose p(l) = 0. What is l?
0, 1/4
Suppose 2 + 4 = 3*z. Let v = -19 + 22. Suppose -s**3 + 1 + 0*s + 4*s - 3*s**2 - v*s + z*s**2 = 0. What is s?
-1, 1
What is n in -204/5*n**2 - 86/5*n**3 + 64/5 - 2*n**4 - 64/5*n = 0?
-4, -1, 2/5
Suppose 0 = c + 5*k + 25, -k - k - 10 = -4*c. Suppose c = -4*g - 41 - 23. Let y(s) = 3*s**3. Let j(d) = 10*d**3. Let q(v) = g*y(v) + 5*j(v). Factor q(i).
2*i**3
Let l(b) be the third derivative of b**9/60480 - b**5/60 + 3*b**2. Let w(d) be the third derivative of l(d). Factor w(o).
o**3
Let u = 0 - -6. Let g(r) be the second derivative of 1/6*r**4 - r - 3/10*r**5 + 1/5*r**u + 0 + 0*r**3 - 1/21*r**7 + 0*r**2. Find f such that g(f) = 0.
0, 1
Let x(g) be the second derivative of -g**10/30240 + g**9/15120 + g**4/12 - 2*g. Let h(y) be the third derivative of x(y). Let h(j) = 0. What is j?
0, 1
Let o(v) = v**2 + 5*v - 3. Let x be o(-6). Solve -i**3 + 3*i - x - i**3 + 1 + i**3 = 0 for i.
-2, 1
Let z(g) be the third derivative of g**7/385 + g**6/132 - g**5/33 - 5*g**4/33 - 8*g**3/33 + 6*g**2. Find w, given that z(w) = 0.
-2, -1, -2/3, 2
Suppose 46 = 5*k - u - 2*u, -3*k + 2*u = -27. Let v = 14 - k. Suppose 4/9*m**4 - 2/9*m**5 - 4/9*m**2 + 0*m**v + 2/9*m + 0 = 0. What is m?
-1, 0, 1
What is b in 6 + 15*b**2 + 41*b**3 - 35*b**3 - 33*b + 48*b**3 = 0?
-1, 2/9, 1/2
Let a be -1 + (2/2 - -4). Factor -2*b**2 + 5*b**a + 2 - 1 - 4*b**4.
(b - 1)**2*(b + 1)**2
Suppose 2*u = 3*c + 13, -5 = -3*u - u - c. Factor 2*q**2 + q**u - 2*q**2.
q**2
Let k(t) = t**3 + 15*t**2 - 13. Let o(y) = -13 + 16*y**2 + 0 + 1. Let x(r) = -4*k(r) + 3*o(r). Determine s, given that x(s) = 0.
-2, 1
Suppose 0 = 6*s - 8*s + 8. Let v(d) be the first derivative of -2 - 1/12*d**s + 0*d + 0*d**3 - 1/18*d**6 + 0*d**2 + 2/15*d**5. Suppose v(m) = 0. What is m?
0, 1
Let c(f) = 8*f**2 + 4*f + 4. Let u(h) = -7*h**2 - 4*h - 3. Let l(v) = -3*c(v) - 4*u(v). Let l(o) = 0. Calculate o.
-1, 0
Let c(y) be the second derivative of y**5/20 - 2*y**4/3 - 24*y. Factor c(t).
t**2*(t - 8)
Suppose 3*z - 2*i - 12 = 0, -5*i = 2*z + 3 + 8. Let 2/7*n**3 + 0*n + 0 + 1/7*n**z = 0. Calculate n.
-1/2, 0
Suppose -3*h = 54 - 72. Let x(c) be the third derivative of 2/3*c**5 + 37/60*c**h + 2/7*c**7 + 0*c + 0*c**3 + 0 + 1/3*c**4 + 3/56*c**8 + 2*c**2. Factor x(p).
2*p*(p + 1)**2*(3*p + 2)**2
Let z(y) be the first derivative of -9/2*y + 1/2*y**3 + 7 + 3/2*y**2. Factor z(o).
3*(o - 1)*(o + 3)/2
Let r(h) = h + 8. Let g(y) = -2*y - 17. Let v(t) = -4*g(t) - 7*r(t). Let b be v(-9). Factor m - 3/4*m**b + 1/4*m**4 + 0*m**2 + 0.
m*(m - 2)**2*(m + 1)/4
Let m(s) = s**2 + 7. Let a be m(0). Let u(j) = j**3 - 8*j**2 + 7*j + 2. Let b be u(a). Determine z so that -4/9*z - 2/9 - 2/9*z**b = 0.
-1
Let v = -293/3 + 99. Suppose v*x**2 - 2/3 - 2/3*x = 0. What is x?
-1/2, 1
Suppose -3*h + 0*h - k + 7 = 0, 8 = 4*h + 2*k. Factor y**2 + 0*y - 2*y**2 + 2*y + h*y**2.
2*y*(y + 1)
Let f(q) = -q**3 + q**2 + 31*q + 6. Let y be f(-5). Let -y - 2/3*a + 1/3*a**2 = 0. Calculate a.
-1, 3
Let k be ((-45)/12)/(11/(-44)). Determine f so that 30*f**2 + 3/2*f**4 + k*f**5 - 6*f - 81/2*f**3 + 0 = 0.
-2, 0, 2/5, 1/2, 1
Suppose 24 + 4 = 7*g. Let d(f) be the second derivative of -4*f - 2/33*f**g - 1/110*f**5 - 5/33*f**3 - 2/11*f**2 + 0. Suppose d(m) = 0. What is m?
-2, -1
Let y be 0/1*10/(-20). Suppose y = 5*o + 4*g - 19, -6*g + g - 10 = -5*o. What is h in 0 - h + h**o + 2 - 1 + h**2 - 2 = 0?
-1, 1
Suppose 208*f - 226*f + 36 = 0. Solve 1/2 - 2*y**3 + 1/2*y**4 + 3*y**2 - f*y = 0 for y.
1
Let q be -4*1*86/(-24). Let d = 15 - q. Suppose 0*y**3 - 2/3*y**4 + 4/3*y**2 + 0*y - d = 0. Calculate y.
-1, 1
Suppose 5*r - 63 = -16*r. Factor -2/7*y**2 + 0 + 2/7*y**r + 0*y.
2*y**2*(y - 1)/7
Let x be (360/(-384))/((-9)/12). Factor 3/4*p**3 + x*p**2 - p - 1.
(p - 1)*(p + 2)*(3*p + 2)/4
Suppose -6*p + 2*p = -24. Factor -8*m**4 + 2*m**5 + 0*m + 8*m**2 + p*m**3 - 8*m + 0*m**3.
2*m*(m - 2)**2*(m - 1)*(m + 1)
Let n(y) be the first derivative of -y**6/8 - 3*y**5/10 - 3*y**4/16 - 21. Factor n(i).
-3*i**3*(i + 1)**2/4
Let y(d) = -d**3 + 4*d**2 + 6*d - 2. Let c be y(5). Find f such that 3*f**3 - 2*f**2 - c*f**2 - 4*f**3 - f + 3*f**2 = 0.
-1, 0
Let m(a) be the third derivative of -1/6*a**4 + 1/3*a**3 + 0*a + 0 + 1/30*a**5 - 2*a**2. Determine w so that m(w) = 0.
1
Suppose 16*p**3 + 47*p**3 + 6 - 60*p**5 - 21*p**4 + 13*p**2 - 33*p + 30*p**3 + 2*p**2 = 0. What is p?
-1, 1/4, 2/5, 1
Let v(w) be the third derivative of -w**7/2520 + w**6/216 - w**5/45 + w**4/18 - w**3/3 - 3*w**2. Let q(m) be the first derivative of v(m). Factor q(k).
-(k - 2)**2*(k - 1)/3
Let j(l) be the third derivative of 1/2*l**3 + 0 - 1/4*l**4 + 1/20*l**5 + l**2 + 0*l. Factor j(v).
3*(v - 1)**2
Let r = 150 + -599/4. Factor 1/2*f**2 + r*f + 0 + 1/4*f**3.
f*(f + 1)**2/4
Let m(y) = y**2 - 2*y - 1. Let c be m(2). Let p be 0*c/2*-2. Factor 0 + 0*k**2 + p*k + 2/3*k**3.
2*k**3/3
Let i(k) be the first derivative of 2 + 8/3*k**3 - k**2 - 1/3*k**6 + 8/5*k**5 - 3*k**4 + 0*k. Factor i(v).
-2*v*(v - 1)**4
Let f(c) be the first derivative of -c**6/480 - c**5/120 - c**4/96 + 3*c**2/2 - 3. Let q(x) be the second derivative of f(x). Factor q(m).
-m*(m + 1)**2/4
Factor 0 + 0*f**3 + f**2 - f**4 - 1/2*f**5 + 1/2*f.
-f*(f - 1)*(f + 1)**3/2
Factor -q - 16*q**2 - 2*q - 14*q**2 + 15*q**2.
-3*q*(5*q + 1)
Factor k**2 - 23*k + k + 2*k + 100.
(k - 10)**2
Let p be (3*(-3)/6)/(9/(-24)). Let d(a) be the first derivative of -3/4*a**4 + 6*a - 15/2*a**2 - p + 4*a**3. Factor d(v).
-3*(v - 2)*(v - 1)**2
Let h(b) = -b**2 + 10*b + 8. Let n(l) = 10*l + 8. Let z(o) = -2*h(o) + 3*n(o). Find f such that z(f) = 0.
-4, -1
Let s(h) = 6*h**3. Let f be s(1). Let x = f - 2. Determine q so that 0*q - 3*q + 11*q - 8*q**3 + 8 - 2*q**x - 6*q**2 = 0.
-2, -1, 1
Let o(i) be the first derivative of i**7/105 + i**6/210 + 3*i**2/2 - 3. Let v(c) be the second derivative of o(c). Factor v(k).
2*k**3*(7*k + 2)/7
Let y(r) = r**2 + 13*r + 14. Let z be y(-12). Let c = 2 + -3. Let o(a) = -a**2 + 2*a + 1. Let l(v) = 1. Let i(j) = c*o(j) + z*l(j). Factor i(f).
(f - 1)**2
Let z(q) = 9*q**3 + 9*q**2 - 15*q - 3. Let h(g) = 9*g**3 + 8*g**2 - 14*g - 3. Let s(r) = -6*h(r) + 5*z(r). Suppose s(j) = 0. What is j?
-1, -1/3, 1
Let v(z) be the third derivative of -z**6/30 - z**5/15 + z**4/3 - 3*z**2. Determine g so that v(g) = 0.
-2, 0, 1
Factor 2/13*p**4 + 2/13*p + 0 + 6/13*p**3 + 6/13*p**2.
2*p*(p + 1)**3/13
Suppose 5*o = -5*j + 30, 3*o + 3 = 10*j - 6*j. What is i in 1/2*i**4 + 0 + 0*i - 1/4*i**o + 3/4*i**5 + 0*i**2 = 0?
