)
Let t(i) = -6*i - 3. Let p be t(-1). Let v(m) = -m**2 - 8*m - 7. Let d be v(-6). Find s, given that 5/2*s**p + 1/4*s**d + 5/4*s**4 + 5/4*s + 5/2*s**2 + 1/4 = 0.
-1
Let q(k) be the second derivative of 0*k**2 + 1/90*k**6 + 0 + 0*k**5 - 2*k + 0*k**3 + 0*k**4. Solve q(b) = 0.
0
Let i(k) = -k**2 + k + 4. Let r be i(4). Let y(j) = 2*j + 19. Let b be y(r). Factor -2*p**2 + 6/5*p**b + 4/5*p + 0.
2*p*(p - 1)*(3*p - 2)/5
Let p(u) be the second derivative of u**8/1344 - u**7/280 + u**6/160 - u**5/240 - 2*u**2 + u. Let x(n) be the first derivative of p(n). Factor x(y).
y**2*(y - 1)**3/4
Let y = 57 + -170/3. Let m(w) be the second derivative of y*w**3 - 3*w - 2/3*w**2 + 0 - 1/30*w**5 + 0*w**4. Determine c, given that m(c) = 0.
-2, 1
Let j(r) be the second derivative of -r**4/24 + r**3/12 + 6*r. Suppose j(l) = 0. What is l?
0, 1
Let d = -17 + 25. Suppose -d = -2*r - 0*r. What is j in 0*j - 2/7 - 2/7*j**r + 0*j**3 + 4/7*j**2 = 0?
-1, 1
Let b be 1068/(-528) - (0 + -2). Let l = 91/132 + b. Factor 1/3*x**2 - 1/3*x**4 + 2/3*x + 0 - l*x**3.
-x*(x - 1)*(x + 1)*(x + 2)/3
Let p = 1934/5 + -386. Let -1/5*t**4 - 4/5*t**3 - 3/5*t**2 + p + 4/5*t = 0. What is t?
-2, -1, 1
Let h(y) = y**3 - 8*y**2 - y + 10. Let d be h(8). Suppose 4/3*c + 2/3*c**2 - d = 0. What is c?
-3, 1
Let u(l) be the first derivative of -l**7/45 - l**6/36 + l**5/45 + l**2 - 3. Let j(t) be the second derivative of u(t). Factor j(m).
-2*m**2*(m + 1)*(7*m - 2)/3
Let r(n) be the first derivative of -n**4/30 - 2*n**3/45 + n**2/3 - 2*n/5 - 7. Find l such that r(l) = 0.
-3, 1
Let i(q) be the third derivative of q**5/420 + q**4/24 + 5*q**3/21 - 7*q**2. Factor i(m).
(m + 2)*(m + 5)/7
Let s = 21 + -21. Let k(r) be the third derivative of s - 2*r**2 + 0*r + 2/3*r**3 + 1/30*r**5 - 1/4*r**4. Suppose k(f) = 0. What is f?
1, 2
Let b be ((-1)/54)/(42/(-536)). Let j = 4/81 + b. Suppose 4/7*x**5 + 18/7*x**3 + j*x + 2*x**4 + 10/7*x**2 + 0 = 0. Calculate x.
-1, -1/2, 0
Let a be 8/32*((-16)/4 + 5). Find d such that 0 - a*d - 3/4*d**3 - 3/4*d**2 - 1/4*d**4 = 0.
-1, 0
Let j = -614/5 - -1202/15. Let g = j + 43. Determine w so that g*w**2 + 0*w - 1/3 = 0.
-1, 1
Let x(y) be the second derivative of 0*y**4 + 0 - 2*y - 1/300*y**6 + 1/150*y**5 - 3/2*y**2 + 0*y**3. Let h(b) be the first derivative of x(b). Factor h(c).
-2*c**2*(c - 1)/5
Let g(q) be the second derivative of -q**5/100 + 11*q**4/60 - 7*q**3/6 + 5*q**2/2 + 25*q - 1. Factor g(s).
-(s - 5)**2*(s - 1)/5
Factor -6/7*y**2 + 8/7 + 0*y + 2/7*y**3.
2*(y - 2)**2*(y + 1)/7
Let m(t) be the third derivative of t**5/210 - t**4/84 - 2*t**3/7 - 29*t**2. Factor m(d).
2*(d - 3)*(d + 2)/7
Let r = -85/7 - -87/7. Let x(z) = z**2 + z. Let i be x(-2). Factor -8/7*w - r*w**i - 8/7.
-2*(w + 2)**2/7
Let k(r) be the third derivative of r**6/210 - r**5/210 - 2*r**2. Factor k(c).
2*c**2*(2*c - 1)/7
What is i in 2*i**3 + 9*i**4 + 3*i**2 - i**5 - 11*i**3 - 2*i**5 = 0?
0, 1
Let i = -84 - -84. Factor 0*p + 4/5*p**2 + i - 2*p**3.
-2*p**2*(5*p - 2)/5
Let q(z) be the second derivative of -z**7/294 + 4*z**6/105 - 11*z**5/70 + z**4/3 - 17*z**3/42 + 2*z**2/7 + 22*z - 2. Factor q(p).
-(p - 4)*(p - 1)**4/7
Let s(o) be the first derivative of o**3 + 6*o**2 + 12*o + 11. Find w, given that s(w) = 0.
-2
Factor -36/11 - 2/11*b**2 - 18/11*b.
-2*(b + 3)*(b + 6)/11
Let c(f) be the second derivative of -4*f**3 - 2*f**2 - 13/10*f**6 - 67/20*f**5 + 2*f + 0 - 3/14*f**7 - 19/4*f**4. Factor c(x).
-(x + 1)**3*(3*x + 2)**2
Factor 1/2*o**2 + o + 1/2.
(o + 1)**2/2
Let o = 48 - 45. Find v, given that 0*v + 1/2*v**2 - 3/4*v**o + 0 = 0.
0, 2/3
Factor 9*p**3 + 0*p**3 + 4*p**5 + 4*p**2 - 13*p**3 - 5*p**4 + p**4.
4*p**2*(p - 1)**2*(p + 1)
Let -3 - 2*v - 1/3*v**2 = 0. Calculate v.
-3
Let a(p) = -8*p**2 + 37*p - 5. Let l(n) = -4*n**2 + 18*n - 2. Let x(g) = 2*a(g) - 5*l(g). Factor x(z).
4*z*(z - 4)
Factor 1/6*d - 1/6*d**3 + 1/3 - 1/3*d**2.
-(d - 1)*(d + 1)*(d + 2)/6
Let d(t) be the third derivative of -t**9/60480 + t**8/10080 + t**5/20 - 2*t**2. Let m(u) be the third derivative of d(u). Factor m(l).
-l**2*(l - 2)
Suppose 3*q + 18 = -3*q. Let z be (-1)/4 - q/6. Factor -z*s**3 + 0 - 3/4*s**2 - 1/2*s.
-s*(s + 1)*(s + 2)/4
Let m(j) = 13*j**4 - 37*j**3 - 24*j**2 + 80*j + 69. Let x(d) = -6*d**4 + 18*d**3 + 12*d**2 - 40*d - 34. Let z(o) = 2*m(o) + 5*x(o). Suppose z(n) = 0. What is n?
-1, 2, 4
Let 2/9*i**2 - 28/9*i + 98/9 = 0. What is i?
7
Let p be (-2)/(-8)*(-35 - -31) - -3. Solve 3*w + 3/2*w**p + 3/2 = 0 for w.
-1
Let o(c) = c**2 + 2*c. Let t be o(-1). Let p be (t*1)/(1/(-2)). Let -3/2*x - 2*x**p + 1/2 = 0. What is x?
-1, 1/4
Let q(l) be the third derivative of 0*l + 0 + 1/525*l**7 + 0*l**5 - 1/150*l**6 + 1/30*l**4 - 1/15*l**3 - 2*l**2. Factor q(j).
2*(j - 1)**3*(j + 1)/5
Let c(q) be the third derivative of -q**7/35 - 13*q**6/420 + 9*q**5/35 - q**4/7 - 8*q**3/21 - 12*q**2. Determine r, given that c(r) = 0.
-2, -2/7, 2/3, 1
Suppose 3*f - 4 = -2*z - 0, -4*z + 4*f + 8 = 0. Suppose 6*c = z*c + 12. Factor -2/3*s**2 + 0 + 1/3*s**c + 1/3*s.
s*(s - 1)**2/3
Let u(i) be the second derivative of i**5/210 + 2*i**4/63 + 5*i**3/63 + 2*i**2/21 - i. Suppose u(w) = 0. What is w?
-2, -1
Suppose f = b - 2, 16 = 2*f - b + 4*b. Suppose -c + 3*c = 0. Factor c - 1/4*d**f - 1/4*d**3 + 0*d.
-d**2*(d + 1)/4
Find d such that -12*d - 21/4*d**2 - 9 - 3/4*d**3 = 0.
-3, -2
Factor -2/7*z + 2/7 + 2/7*z**3 - 2/7*z**2.
2*(z - 1)**2*(z + 1)/7
Let j be (-25)/(-6) + (-2)/12. Factor 6*r**3 + 3*r + 6*r - 3*r - j*r**3 - 8*r**2.
2*r*(r - 3)*(r - 1)
Let k(u) = -10*u**2 - 16*u - 8. Let w(o) = o**4 + 29*o**2 + 48*o + 25. Let l(v) = 14*k(v) + 4*w(v). Factor l(a).
4*(a - 3)*(a + 1)**3
Let a = -1033 - -1036. Factor 7/5*s**4 - 2/5*s + 0 + 2/5*s**a - 7/5*s**2.
s*(s - 1)*(s + 1)*(7*s + 2)/5
Let n = 33 - 15. Suppose -4*i + n = 6. Find k such that -6*k - 15/4*k**2 - 3/4*k**3 - i = 0.
-2, -1
Factor -4*k**2 - k**5 + 2*k**3 + 2 + 4*k**5 - 4*k**5 - k + 2*k**4.
-(k - 2)*(k - 1)**2*(k + 1)**2
Factor -3/7*r**5 + 3*r - 6/7*r**4 + 6/7 + 6/7*r**3 + 24/7*r**2.
-3*(r - 2)*(r + 1)**4/7
Let a(u) be the second derivative of -u**6/360 - u**5/90 + u**4/72 + u**3/9 + u**2 - 2*u. Let p(v) be the first derivative of a(v). Solve p(o) = 0 for o.
-2, -1, 1
Let m(y) be the first derivative of -5 + 0*y + 1/10*y**5 - 1/8*y**4 + 0*y**2 + 0*y**3. Let m(g) = 0. What is g?
0, 1
Let p(n) = 3*n**2 - 2*n - 1. Let v be p(-1). Suppose 9*l**3 - 6*l**3 - v*l + 9*l - 7*l**2 - 1 = 0. What is l?
1/3, 1
Suppose -15*x**5 - x**2 + 2*x**2 + x**3 + 14*x**5 - x**4 = 0. What is x?
-1, 0, 1
Let z(g) be the third derivative of g**6/900 - g**5/300 - g**4/30 - g**3/3 - 2*g**2. Let l(p) be the first derivative of z(p). Factor l(y).
2*(y - 2)*(y + 1)/5
Suppose -2*q = 4*m, 2*q = 2*m + 2*m + 24. Suppose 7*f = 4*f + q. Let -2/9 + 2/9*y**f + 0*y = 0. What is y?
-1, 1
Let n(i) = 2*i**2 - 5*i. Let t(m) = -m**2 - 5*m - 5. Let v be t(-4). Let h = v + -2. Let z(d) = -6*d**2 + 14*d. Let o(b) = h*z(b) - 8*n(b). Factor o(s).
2*s*(s - 1)
Let p be ((-6)/(-21))/(2/14). Let n(l) be the second derivative of 0*l**2 + 0 + p*l - 1/3*l**4 - 1/3*l**3 - 1/10*l**5. Factor n(x).
-2*x*(x + 1)**2
Let -16/3*a**4 + 0 + 4/3*a + 26*a**3 - 34/3*a**2 - 32/3*a**5 = 0. What is a?
-2, 0, 1/4, 1
Let o(y) = 2*y + 8. Let z be o(-4). Determine m, given that -2/9*m**3 + z + 2/9*m**4 - 2/9*m**2 + 2/9*m = 0.
-1, 0, 1
Find q, given that 0*q + 3/5*q**5 - 4/5*q**4 + 0*q**2 + 0 + 1/5*q**3 = 0.
0, 1/3, 1
Let x = -2 - -4. Let m(g) = -g**3 - g**2 - g. Let i be m(0). Factor -k**3 + 2*k**x + 0*k**3 + i*k**2 - k.
-k*(k - 1)**2
Let s(w) be the third derivative of 0*w**3 + 1/15*w**5 + 0*w + 0 - 1/12*w**4 + 1/60*w**6 - 2/105*w**7 - 5*w**2. Factor s(r).
-2*r*(r - 1)*(r + 1)*(2*r - 1)
Let 12*z**3 - 9*z**4 - 9*z**5 - 11*z**4 + 11*z**2 + 9*z**2 - 7*z**5 + 4*z = 0. What is z?
-1, -1/4, 0, 1
Let c(v) be the second derivative of 0 - 2/5*v**2 + 1/30*v**4 + 1/15*v**3 + v. Factor c(i).
2*(i - 1)*(i + 2)/5
Let b(z) be the third derivative of 0*z - 3*z**2 - 1/15*z**3 + 0 - 1/30*z**4 - 1/150*z**5. Factor b(q).
-2*(q + 1)**2/5
Let w = 52/7 + -3893/525. Let v(c) be the second derivative of -1/50*c**5 + 1/15*c**3 + 0*c**2 + c + 0 + 1/30*c**4 - w*c**6. Find q, given that v(q) = 0.
-1, 0, 1
Let n(u) = -u**5 - u**4 + u**3 - u**2 + u. Let h(v) = 16*v**5 + 20*v**4 - 18*v**3 + 18*v**2 - 18*v. Let b(g) = -2*h(g) 