)/3
Let p(h) = -h**4 - h**2 + h. Let q(u) = 16*u**4 - 2*u**3 + 12*u**2 - 12*u. Let n = 74 - 46. Let c(i) = n*p(i) + 2*q(i). Find s such that c(s) = 0.
-1, 0, 1
Let w(u) = -u**3 - 5*u**2 + 4*u - 9. Let i be w(-6). Let i*t**5 - 101*t**3 + 101*t**3 = 0. What is t?
0
Let n(i) be the second derivative of -i**8/336 + i**6/60 - i**4/24 + 5*i**2 + 4*i. Let c(a) be the first derivative of n(a). Factor c(y).
-y*(y - 1)**2*(y + 1)**2
Suppose 0 = -3*k + 15, 2*k + 3*k - 37 = -4*f. Factor 14/3*i + 8/3*i**4 + 10*i**2 + 26/3*i**f + 2/3.
2*(i + 1)**3*(4*i + 1)/3
Let m(g) be the third derivative of g**5/30 - g**4/2 + 3*g**3 + 3*g**2. Find s such that m(s) = 0.
3
Let o(w) = w**2 - 10*w - 9. Let p be o(11). Determine y so that 0*y**3 + y**2 + 2*y**3 - y**p = 0.
0
Let z be (-52)/(-42) + 70/(-105). Factor -2/7*t**4 + 0*t - 2/7*t**2 + z*t**3 + 0.
-2*t**2*(t - 1)**2/7
Suppose 4*t - 17 = -1. Suppose t*i - 5 = 5*i, 0 = -2*l - 4*i - 12. Factor 4*u - 6*u**3 + 8 + 0 - u**l - 6*u**2 + u**3.
-(u - 1)*(u + 2)**3
Let j(z) = 7*z**2 - 5*z - 10. Let p(q) = -6*q**2 + 5*q + 9. Let t(w) = -5*j(w) - 6*p(w). Let s be t(6). Find m such that 2/3*m + 1/3 + 1/3*m**s = 0.
-1
Let g(z) be the first derivative of -z**6/60 + z**5/10 + 7*z**2/2 - 7. Let l(s) be the second derivative of g(s). Find j, given that l(j) = 0.
0, 3
Let j(s) be the first derivative of s**5/150 + s**4/60 - 3*s**2/2 - 3. Let n(z) be the second derivative of j(z). Find y such that n(y) = 0.
-1, 0
Let l(z) = z**2 + 6*z + 5. Let x be l(-5). Solve 0 + 1/2*r**4 + x*r**3 + 0*r**2 + 0*r = 0.
0
Suppose 0 = 2*r - 6*r. Factor 1/3*o**3 + 0*o**2 + 1/6*o**4 + 0 + r*o.
o**3*(o + 2)/6
Let d(p) = p - 4. Let a be d(4). Let l(r) be the third derivative of a + 0*r + r**2 + 1/30*r**5 + 0*r**3 - 1/12*r**4. Let l(h) = 0. What is h?
0, 1
Suppose 6 = -12*w + 30. Determine h, given that 10/7*h**w - 8/7*h**3 - 4/7*h + 2/7*h**4 + 0 = 0.
0, 1, 2
Suppose -6*u - 8 + 32 = 0. Let j(d) be the first derivative of -1/6*d**3 + 0*d + 1/6*d**u - 1/12*d**2 - 4. Factor j(q).
q*(q - 1)*(4*q + 1)/6
Let k(g) be the second derivative of 1/12*g**3 - 2*g - 1/40*g**5 + 0*g**2 + 0*g**4 + 0. Determine s so that k(s) = 0.
-1, 0, 1
Let r(y) be the second derivative of -y**5/80 - y**4/16 - y**3/12 + 3*y. Solve r(c) = 0 for c.
-2, -1, 0
Let l = 287 - 60269/210. Let b(a) be the third derivative of 0 + 0*a + 1/21*a**3 - 1/42*a**4 + l*a**5 + 4*a**2. Determine f, given that b(f) = 0.
1
Factor -1/3*h**4 + 2/3*h**2 - 1/3 + 0*h + 0*h**3.
-(h - 1)**2*(h + 1)**2/3
Let s(p) be the third derivative of p**5/300 - p**4/12 + 5*p**3/6 - 32*p**2. Find j such that s(j) = 0.
5
Let d(i) be the second derivative of i**5/110 - i**3/33 + 12*i. Factor d(t).
2*t*(t - 1)*(t + 1)/11
Let z = -42443/8970 - 1/598. Let s = -22/5 - z. Let 4/3*i**3 + i**2 + 0 - s*i = 0. Calculate i.
-1, 0, 1/4
Let 2/3*p**2 - 2*p + 0 = 0. What is p?
0, 3
Let i(a) = 6*a + 1. Let z be i(1). Factor -1 + 5 + d - z*d + 2*d**2.
2*(d - 2)*(d - 1)
Let g(h) be the second derivative of h**9/30240 - h**8/8960 + h**7/10080 + h**4/4 + h. Let y(r) be the third derivative of g(r). Factor y(f).
f**2*(f - 1)*(2*f - 1)/4
Let o = 23 - 21. Factor 5*t**2 + 3*t**2 - 9*t**2 + 3*t + 4*t**o - 6.
3*(t - 1)*(t + 2)
Let c(u) = 35*u**3 + 80*u**2 + 31*u + 4. Let v(j) = -36*j**3 - 80*j**2 - 30*j - 4. Let a(s) = -4*c(s) - 3*v(s). What is p in a(p) = 0?
-2, -1/4
Factor -2002*a**2 - 5*a**3 - 48*a + 17*a**3 + 32 - 4*a**4 + 2010*a**2.
-4*(a - 2)**2*(a - 1)*(a + 2)
Let w = 74 + -72. Let q(r) be the second derivative of 4*r + 1/2*r**w + 0 - 1/20*r**5 + 1/6*r**3 - 1/12*r**4. What is x in q(x) = 0?
-1, 1
Let b be (-15)/(-6) - (-4 - -6)/2. Factor 0 + b*t**3 - 6*t**2 + 6*t.
3*t*(t - 2)**2/2
Suppose -t = 3 - 1. Let p(u) = u**2 + u. Let o(h) = h**2 + 10*h + 12. Let g(f) = t*p(f) - o(f). Find s such that g(s) = 0.
-2
Factor -p**2 - p**2 - p**2 - 2*p**2.
-5*p**2
Let n be (-14)/(-63) - (-34)/9. Factor -y**3 + y**4 - 6*y**n + 6*y**4.
y**3*(y - 1)
Factor -2/5*m**2 - 2/5*m**3 + 0 + 0*m.
-2*m**2*(m + 1)/5
Let l(b) be the first derivative of b**5/5 + b**4/4 - 5*b**3/3 + 3*b**2/2 + 41. Let l(h) = 0. Calculate h.
-3, 0, 1
Let x(y) be the first derivative of -2/5*y**5 + 0*y + 0*y**3 - 2 + 3/2*y**4 - 4*y**2. Determine b, given that x(b) = 0.
-1, 0, 2
Let l(i) be the third derivative of -i**5/12 + 5*i**4/8 - 5*i**3/3 + 18*i**2. Factor l(y).
-5*(y - 2)*(y - 1)
Let a be ((-10)/5)/((-4)/14). Suppose 5*q - 27 = -a. Factor -6*y + q - y**2 - 5 + 8*y.
-(y - 1)**2
Solve s + 3 - 2*s - 5*s + 0*s + 3*s**2 = 0 for s.
1
Let t(d) be the second derivative of d**7/21 + 2*d**6/15 - d**5/10 - d**4/3 - 3*d. Factor t(a).
2*a**2*(a - 1)*(a + 1)*(a + 2)
Suppose -4*x = -2*x - 8. Suppose -w = -x*w + 6. What is g in -w*g**3 + 4*g**3 + 0*g**5 - 2*g**2 + 2*g**4 - 2*g**5 = 0?
-1, 0, 1
Let g(r) be the first derivative of -r**4 + 8*r**3 - 16*r**2 + 20. Factor g(o).
-4*o*(o - 4)*(o - 2)
Let j(q) be the first derivative of 11/5*q**5 + 1/3*q**3 - 5 - 2/3*q**6 + 1/2*q**2 - 9/4*q**4 + 0*q. Find p such that j(p) = 0.
-1/4, 0, 1
Let d = 13 + -22. Let x = -5 - d. Factor -c**3 + 2*c**3 + c**2 - 2*c**2 - c**x + 2*c**4 - c.
c*(c - 1)*(c + 1)**2
Let l(u) = u**2 + u + 1. Suppose -5*s = 0, -2*s = -k - 0*k + 1. Let w(y) = -9*y**2 - 21*y - 21. Let r(v) = k*w(v) + 5*l(v). Factor r(t).
-4*(t + 2)**2
Let c(b) = b**2 + 5*b - 2. Let d be c(-6). Suppose 2*r**2 + r**3 - 3*r**2 - 2*r**2 + d = 0. Calculate r.
-1, 2
Let o(c) be the first derivative of 8/7*c**2 + 1/14*c**4 + 8/7*c + 10/21*c**3 + 8. Factor o(l).
2*(l + 1)*(l + 2)**2/7
Let o(k) be the first derivative of 0*k + 2/5*k**2 + 1/20*k**4 - 4/15*k**3 - 3. What is w in o(w) = 0?
0, 2
Let o(j) be the first derivative of -j**4/3 + j**3 - j**2/3 + 4. Factor o(q).
-q*(q - 2)*(4*q - 1)/3
Suppose 4*k - 142 = 90. Let b be (2 - 5) + k/18. Factor 0 - b*i**2 - 4/9*i.
-2*i*(i + 2)/9
Let h(g) be the first derivative of 3*g**5/5 + 3*g**4/2 - 3*g**2 - 3*g + 7. Factor h(k).
3*(k - 1)*(k + 1)**3
Let k(x) be the first derivative of -x**4/6 - 4*x**3/3 - 3*x**2 - 8*x/3 - 1. Factor k(d).
-2*(d + 1)**2*(d + 4)/3
Let r(l) be the third derivative of -l**7/2205 + l**6/210 - l**5/70 + l**4/63 + 45*l**2. Solve r(g) = 0.
0, 1, 4
Factor 4/5*p + 0 - 11/5*p**2 + 1/2*p**3.
p*(p - 4)*(5*p - 2)/10
Let s be (-2)/(-8) - 4/(-8). Factor -1/4*o**4 + s*o**3 + 0 - 3/4*o**2 + 1/4*o.
-o*(o - 1)**3/4
Let z(p) be the second derivative of 0*p**2 - p + 1/9*p**3 + 0*p**4 - 1/30*p**5 + 0. Factor z(w).
-2*w*(w - 1)*(w + 1)/3
Let y(l) be the first derivative of -1/3*l**4 - 4/9*l**6 + 14/15*l**5 + 0*l**2 - 2/9*l**3 + 0*l + 6. Factor y(r).
-2*r**2*(r - 1)**2*(4*r + 1)/3
Let s(v) be the second derivative of 0 + 1/14*v**4 - 5/21*v**3 + 2/7*v**2 - 1/105*v**6 + 1/70*v**5 - 3*v. Suppose s(a) = 0. What is a?
-2, 1
Suppose -2 = -4*n - 2*h - 12, -2*n + 4*h - 30 = 0. Let j = 9 + n. Factor -4*r**2 - j*r + 4*r - r.
-r*(4*r + 1)
Let v(b) be the third derivative of b**7/6300 - b**5/300 - b**4/24 - 4*b**2. Let t(u) be the second derivative of v(u). Let t(n) = 0. What is n?
-1, 1
Let b(y) be the first derivative of -7*y**5/30 - y**4/9 + 3*y + 4. Let n(g) be the first derivative of b(g). Solve n(o) = 0.
-2/7, 0
Let p be (1 - 1) + 1 + 0. Determine x, given that 13*x - 14*x**3 - p - 4*x**2 + x + 5 = 0.
-1, -2/7, 1
Let r(c) be the first derivative of 4*c**6/21 + 6*c**5/35 - 5*c**4/14 - 2*c**3/7 + c**2/7 - 4. Suppose r(z) = 0. Calculate z.
-1, 0, 1/4, 1
Let c(q) be the second derivative of q**7/42 - q**6/30 - 3*q**5/20 + q**4/12 + q**3/3 - 12*q. Suppose c(s) = 0. Calculate s.
-1, 0, 1, 2
Let d = 367/5 - 73. Let t be (-9)/(-6) + (-3)/(-6). Factor d*l**t + 2/5 - 4/5*l.
2*(l - 1)**2/5
Factor -o**2 - 112*o + 3*o**2 + 112*o.
2*o**2
Factor -8/7 - 12/7*d - 4/7*d**2.
-4*(d + 1)*(d + 2)/7
Factor -68*g**2 - 3*g**3 + 3*g**5 + 41*g**2 - 6*g**4 + 33*g**2.
3*g**2*(g - 2)*(g - 1)*(g + 1)
Let a(s) be the third derivative of 0*s**3 + 0*s**4 + 5*s**2 + 1/120*s**6 + 0*s - 1/60*s**5 + 0. Factor a(p).
p**2*(p - 1)
Let s be (-25)/(-5) - (2 + 0). Find y, given that 56 - 2*y**s - y**3 - 56 + 3*y = 0.
-1, 0, 1
Solve -k**3 - k**2 - k**3 + 0*k**3 = 0 for k.
-1/2, 0
Let i(z) be the third derivative of z**8/42 - 6*z**7/35 - z**6/6 + 10*z**2. Factor i(h).
4*h**3*(h - 5)*(2*h + 1)
Let l(p) be the second derivative of -5*p**4/72 - 10*p**3/9 - 20*p**2/3 - 3*p. Determine k, g