-3 + 0*h + 0*h**4 + 0*h**2 - 2/15*h**5 + u*h**3. Let c(d) = 0. What is d?
-1, 0, 1
Solve -3/7*y**4 - 24/7*y**3 - 96/7*y + 90/7*y**2 + 33/7 = 0 for y.
-11, 1
Let n(q) = -6*q - 4. Let s be n(-6). Find y such that 25*y**2 - y**3 + s*y**2 + 22*y**3 + 24*y - 12 = 0.
-2, -1, 2/7
Let d = -28 + 28. Let t(q) be the third derivative of 0*q**3 + d*q + 0 + 3*q**2 - 7/180*q**5 + 1/36*q**4 + 1/72*q**6. What is k in t(k) = 0?
0, 2/5, 1
Let q(l) be the second derivative of l**8/1344 - l**6/240 + l**4/96 - 3*l**2/2 - 2*l. Let g(a) be the first derivative of q(a). Suppose g(m) = 0. Calculate m.
-1, 0, 1
Let p(x) be the third derivative of -1/36*x**5 + 0 + 1/72*x**4 - 1/360*x**6 - x**2 + 1/210*x**7 + 1/9*x**3 + 0*x. Factor p(u).
(u - 1)**2*(u + 1)*(3*u + 2)/3
Suppose -2*i + 2 = -i. Suppose 4*y - 9 = y. Factor 5*u**2 - u - u - 6*u**y + u**2 + i*u**4.
2*u*(u - 1)**3
Let f be (-32)/(-15) + ((-188)/60 - -3). Find g such that 0 + 2*g + 2/3*g**f = 0.
-3, 0
Let p(x) be the third derivative of -x**6/105 + x**5/42 + x**4/12 - 2*x**3/21 - 6*x**2. Factor p(a).
-2*(a - 2)*(a + 1)*(4*a - 1)/7
Let j = 300 - 300. Factor 1/4*s**2 + 0 + j*s.
s**2/4
Let k(p) be the second derivative of 5*p**4/12 + 5*p**3 + 45*p**2/2 - 19*p. Let k(n) = 0. What is n?
-3
Let v(s) = -s - 1. Let k be v(-4). Let u(y) = y**2 - 11*y + 13. Let q be u(10). Factor -4*a**4 + 0*a**3 + 5*a**k - 3*a**q + 0*a**3.
-2*a**3*(2*a - 1)
Factor 3/2*r**2 + 3 - 9/2*r.
3*(r - 2)*(r - 1)/2
Let p(w) be the third derivative of -w**6/108 + 7*w**5/270 - w**4/54 - 2*w**2. Let p(u) = 0. Calculate u.
0, 2/5, 1
Let b = 153 - 151. Factor -b*g**2 - 5/2*g - 1 - 1/2*g**3.
-(g + 1)**2*(g + 2)/2
Let f(i) be the second derivative of i**5/50 - i**4/30 - i**3/15 + i**2/5 + 22*i. Suppose f(h) = 0. What is h?
-1, 1
Let u be 933/(-7) - (-1 - 1). Let n = -131 - u. Solve -2/7*q**5 + 2/7*q**4 + 4/7*q**3 + 2/7 - n*q - 4/7*q**2 = 0 for q.
-1, 1
Let n be (-2)/(-7) - (-12)/7. Determine f, given that 2*f**5 + f**5 - f**3 - 3*f**n + 0*f**2 - 9*f**4 + 10*f**3 = 0.
0, 1
Let i(h) be the second derivative of -h**7/280 - h**6/40 + h**4/2 + 4*h**3/3 - h. Let z(f) be the second derivative of i(f). What is l in z(l) = 0?
-2, 1
Let f(p) be the first derivative of p**6/6 + 2*p**5/5 + p**4/4 - 5. Factor f(b).
b**3*(b + 1)**2
Let i(m) be the second derivative of -m**7/1155 + m**6/330 - m**4/66 + m**3/33 + m**2 + m. Let d(v) be the first derivative of i(v). Factor d(h).
-2*(h - 1)**3*(h + 1)/11
Suppose 4 = -3*s + 5*i, -2*i = 2*i - 8. Factor 1 + 3*b - 13*b - 3 - 6*b**2 - s.
-2*(b + 1)*(3*b + 2)
Solve 2/9*d**3 - 2/9*d + 0 + 0*d**2 = 0.
-1, 0, 1
Let t be ((-2)/(-24))/((-9)/(-192)*8). Factor t*m + 10/9*m**3 - 4/9 + 16/9*m**2.
2*(m + 1)**2*(5*m - 2)/9
Let b(d) be the second derivative of d**6/75 - d**4/30 - 24*d. Factor b(i).
2*i**2*(i - 1)*(i + 1)/5
Let r(k) be the first derivative of -1 + 1/4*k**2 - 1/8*k**4 - 1/6*k**3 + 1/2*k. Find i, given that r(i) = 0.
-1, 1
Let p(r) be the first derivative of -r**5 - 20*r**4 - 130*r**3 - 280*r**2 - 245*r - 18. Find t, given that p(t) = 0.
-7, -1
Let a(y) be the second derivative of -y**10/105840 - y**9/52920 - y**4/12 + 2*y. Let j(b) be the third derivative of a(b). Factor j(z).
-2*z**4*(z + 1)/7
Let z(t) be the first derivative of 1/3*t**3 + 1/2*t**2 - 4 + 0*t. Factor z(w).
w*(w + 1)
Suppose 2*c = -2*m - 2*m + 6, 4*m - 7 = -c. Let -2*d + 2 + 1/2*d**m = 0. What is d?
2
Suppose 3/2 + k - 1/2*k**2 = 0. What is k?
-1, 3
Let t(h) = h**3 - h**2 - 2*h + 3. Let p be t(2). Let l(r) be the second derivative of -p*r + 0*r**2 + 1/6*r**3 + 1/24*r**4 + 0. Factor l(x).
x*(x + 2)/2
Let r be (-34)/60 - (5/15 - 1). Let b(o) be the first derivative of 1/6*o**3 - r*o**5 + 0*o**2 + 3 + 0*o + 0*o**4. What is t in b(t) = 0?
-1, 0, 1
Let m be 14/63 - 69/108*-2. Factor 1 - 1/2*v**4 + m*v - 3/2*v**3 - 1/2*v**2.
-(v - 1)*(v + 1)**2*(v + 2)/2
Let g be 1*(3 - 2)/1. Let t be 3*((-28)/12 + 3). Factor -6*u + 1 - g + 3*u**t.
3*u*(u - 2)
Suppose 0 = -5*n + n + 16. Suppose 0 = -5*l + 2*w + 21, -4*l = n*w + w + 3. Let 6*x**2 + 6*x + 0*x**3 + 2*x**l + 2 + 0 = 0. Calculate x.
-1
Factor 3 + 21/2*s**4 + 69/2*s**3 + 39/2*s + 81/2*s**2.
3*(s + 1)**3*(7*s + 2)/2
Let j(v) be the first derivative of -2/15*v**3 + 0*v**2 - 3 + 0*v. What is y in j(y) = 0?
0
Let q(y) be the first derivative of y**5 + 5*y**4 + 5*y**3/3 - 15*y**2 - 25. Determine m, given that q(m) = 0.
-3, -2, 0, 1
Let k = -63 + 191/3. Solve 2/3 + 1/3*t - k*t**2 - 1/3*t**3 = 0 for t.
-2, -1, 1
Let l(x) be the second derivative of 3*x**5/20 + 3*x**4/4 - 6*x**2 - 7*x. Let l(i) = 0. What is i?
-2, 1
Let o be 104/(-21) + -14 + 19. Let x(s) be the second derivative of -1/70*s**5 - 4*s + 1/7*s**2 + 0 + o*s**3 - 1/42*s**4. Factor x(m).
-2*(m - 1)*(m + 1)**2/7
Factor -93 - 5*t**3 - 11*t + 16*t**2 - 2*t**3 + 95.
-(t - 1)**2*(7*t - 2)
Let x(c) = c**4 - 14*c**3 + 7*c**2 + 10*c - 12. Let f(p) = -6*p**4 + 99*p**3 - 48*p**2 - 69*p + 84. Let u(r) = -2*f(r) - 15*x(r). Factor u(m).
-3*(m - 2)**2*(m - 1)*(m + 1)
Let r be 6 - (-1*4 - -2). Solve -5*t**3 - 2*t**3 - t**3 - 2*t**4 + r*t**4 + 2*t**2 = 0.
0, 1/3, 1
Let z(u) be the first derivative of u**3/7 - 24*u**2/7 + 192*u/7 - 5. Solve z(m) = 0.
8
Let p = 73/215 + -6/43. Suppose -4/5*n**2 - p + 4/5*n = 0. What is n?
1/2
Let o(w) = -w**4 - w**3 + 1. Let r(t) = 2*t**4 + 3*t**3 + t**2 - 6. Let y(n) = -6*o(n) - r(n). Factor y(z).
z**2*(z + 1)*(4*z - 1)
Let w(r) be the second derivative of r**6/540 + 3*r**2/2 - 2*r. Let k(v) be the first derivative of w(v). Factor k(d).
2*d**3/9
Suppose 19 = 4*m - z, 3*m - z - 13 - 2 = 0. Factor -3/2*u**2 - 3/2*u**5 + 3/2*u**m + 0 + 3/2*u**3 + 0*u.
-3*u**2*(u - 1)**2*(u + 1)/2
Let f(x) be the second derivative of 2*x**6/5 - 2*x**5/5 - x**4 + 4*x**3/3 + 12*x. Factor f(z).
4*z*(z - 1)*(z + 1)*(3*z - 2)
Let b(f) be the second derivative of -f**6/75 + f**5/10 - f**4/5 - 4*f**3/15 + 8*f**2/5 - 33*f. Factor b(o).
-2*(o - 2)**3*(o + 1)/5
Let h = -188 + 572/3. Let n(l) = -2*l. Let z be n(-1). Solve -h*s + 2/3*s**z + 8/3 = 0.
2
Let r(j) be the third derivative of -j**7/3780 + j**6/810 - 2*j**3/3 - 2*j**2. Let u(c) be the first derivative of r(c). Factor u(l).
-2*l**2*(l - 2)/9
Let j be (5 + -3 - 2)*1 + 0. Determine w, given that -1/2*w**2 + j + 0*w + 1/2*w**3 = 0.
0, 1
Suppose 0 = -6*s + 26*s. Let z(y) be the third derivative of 0*y + 0 - 1/1365*y**7 - 1/156*y**4 - y**2 + 1/780*y**6 + s*y**3 + 1/390*y**5. Solve z(x) = 0 for x.
-1, 0, 1
Suppose -65*f + 58*f = -21. Let i(g) be the second derivative of f*g + 1/30*g**6 + 3/40*g**5 + 1/168*g**7 + 1/12*g**4 + 0*g**2 + 0 + 1/24*g**3. Factor i(p).
p*(p + 1)**4/4
Suppose 6 - 26*o + 78*o**3 - 27*o**5 + 0*o**3 + 18*o**4 - o = 0. Calculate o.
-1, 1/3, 2
Let k be -1 + 2 - (-3)/(-5). Let j = -184 - -922/5. What is u in k*u**3 + 2/5 - 2/5*u**2 - j*u = 0?
-1, 1
Let a(j) be the first derivative of -256*j**6/15 - 512*j**5/25 + 208*j**4/5 - 352*j**3/15 + 31*j**2/5 - 4*j/5 - 2. Factor a(n).
-2*(n + 2)*(4*n - 1)**4/5
Let r(n) be the third derivative of 4/9*n**3 + 0 + 5/18*n**5 - 1/504*n**8 - 19/180*n**6 + 1/45*n**7 + 0*n + 2*n**2 - 4/9*n**4. Determine p so that r(p) = 0.
1, 2
Let r(k) be the second derivative of -k**6/60 - k**5/40 + k**4/8 + k**3/12 - k**2/2 - 9*k. Factor r(w).
-(w - 1)**2*(w + 1)*(w + 2)/2
Let h = 0 - -2. Let c be h/(-3) - (-35)/30. Suppose -1/2*d + 0 + 1/2*d**3 + c*d**2 - 1/2*d**4 = 0. What is d?
-1, 0, 1
Let 2*v**2 + 6 + 2*v + 2*v**3 - 7*v - 5*v = 0. What is v?
-3, 1
Let n = -67 + 69. Solve 2/5*m + 22/5*m**3 - 8/5*m**4 - 18/5*m**n + 2/5 = 0.
-1/4, 1
Let p be (6/310)/(21/(-14)). Let w = p - -64/155. Factor w - 1/5*g**3 + 0*g**2 + 3/5*g.
-(g - 2)*(g + 1)**2/5
Factor 330*g - 330*g + 0*g**2 - 3*g**2.
-3*g**2
Let r(c) = 50*c**3 - 110*c**2 - 112*c - 29. Let q(v) be the third derivative of -v**3/6 - v**2. Let a(o) = 5*q(o) - r(o). Let a(l) = 0. Calculate l.
-2/5, 3
Factor -4/5*a**2 + 0 - 4/5*a - 1/5*a**3.
-a*(a + 2)**2/5
Let m be 8/(-60)*10/(-12). Let k(u) be the first derivative of m*u**2 - 4/27*u**3 + 1/18*u**4 + 1 + 0*u. Factor k(r).
2*r*(r - 1)**2/9
Let u(q) = -q**3 + 9*q**2 - 8*q - 3. Let m be u(8). Let x = 5 + m. Factor -6*s**2 + 2*s + 2*s**2 + 0*s + 2*s**x.
-2*s*(s - 1)
Find w, given that 3*w**3 - w**3 + 2*w**3 - 14*w**2 + 3*w + 14*w**4 - 7*w = 0.
-1, -2/7, 0, 1
Let v = -197/684 + 6/19. Let h(f) be the secon