ve of 5*j**6/18 + 4*j**5/3 + 5*j**4/3 + 41. Suppose h(s) = 0. Calculate s.
-2, 0
Let p(j) be the second derivative of -2/5*j**5 + 8/3*j**4 + 0 + 2/21*j**7 + 4*j**2 - 4/15*j**6 - 14/3*j**3 - 4*j. Find a such that p(a) = 0.
-2, 1
Let b(m) be the second derivative of m**6/15 - m**5/5 + 2*m**3/3 - m**2 + 16*m + 1. Factor b(p).
2*(p - 1)**3*(p + 1)
Let 4/3 - 14/3*y**3 + 14/3*y - 4/3*y**2 = 0. Calculate y.
-1, -2/7, 1
Let v be 2*1/(4/(-10)). Suppose f = -f - 6. Let q(l) = -3*l**2 + 7*l. Let d(a) = 2*a**2 - 4*a. Let t(h) = f*q(h) + v*d(h). Determine b, given that t(b) = 0.
-1, 0
Let m(g) = -5*g**2 + 2*g + 5. Let t(q) = 2*q**2 - 3*q**2 - 1 - q + q**2 + q**2. Let z(h) = -m(h) - 2*t(h). Factor z(x).
3*(x - 1)*(x + 1)
Let m be 339/12 - 1/4. Suppose -5*q = -5*y - 10, 0 = -4*y - 0*y - 5*q + m. Determine f, given that 2*f**3 - 2*f**y - 2*f**3 - 2*f**3 = 0.
-1, 0
Suppose -40 = 2*u + 3*u. Let p be 3 + -1 + (-4)/u. Find t, given that 0*t - p*t**4 + 0*t**2 - 1/2*t**3 + 0 = 0.
-1/5, 0
Suppose -5*x = -i - 5, 4*i - x - 3*x + 4 = 0. Factor -8/5*m**2 - 16/5*m + i + 2/5*m**4 + 4/5*m**3.
2*m*(m - 2)*(m + 2)**2/5
Let f(k) be the first derivative of -2 + 1/3*k**6 + 2*k**4 - 5*k**2 - 4*k - 4/3*k**3 + 8/5*k**5. Solve f(i) = 0 for i.
-2, -1, 1
Let p(t) be the second derivative of 9/40*t**5 + 0 + 0*t**3 + 2*t + 1/28*t**7 + 0*t**2 + 3/20*t**6 + 1/8*t**4. What is s in p(s) = 0?
-1, 0
Let x = -247917/80 - -3099. Let k(z) be the second derivative of 0*z**2 + x*z**5 - 1/120*z**6 - 4*z + 1/24*z**3 + 0 - 1/16*z**4. Factor k(u).
-u*(u - 1)**3/4
Let y(j) be the second derivative of -j**5/180 + j**4/36 - 2*j**2/9 + 11*j. Solve y(r) = 0 for r.
-1, 2
Let o(i) be the third derivative of -i**9/98280 - i**8/10920 - i**7/3276 - i**6/2340 - i**4/8 - i**2. Let y(s) be the second derivative of o(s). Factor y(k).
-2*k*(k + 1)**2*(k + 2)/13
Let b(s) = s**2 + 2*s - 3. Let a be b(-4). Suppose -12 = -o + 3*f + f, -a*o = 3*f + 9. Determine n, given that 4*n**4 + o*n**4 + 0*n**5 + 2*n**3 + 2*n**5 = 0.
-1, 0
Let a(s) be the second derivative of -s**7/231 - 4*s**6/165 - 3*s**5/110 - 15*s. Factor a(r).
-2*r**3*(r + 1)*(r + 3)/11
Let t(s) be the second derivative of 9*s**5/20 - 17*s**4/4 + 11*s**3 - 12*s**2 + 16*s. Suppose t(k) = 0. What is k?
2/3, 1, 4
Let j(f) = -2*f**2 - 16*f + 2. Let q(m) = -m - 1. Let l(h) = -j(h) + 3*q(h). Let w be l(-7). Let -2/9*n**3 + 4/9 - 4/9*n**w + 2/9*n = 0. Calculate n.
-2, -1, 1
Let n(w) be the first derivative of 7*w**5/30 - 3*w**4/8 - 5*w**3/18 + 3*w**2/4 - w/3 - 2. What is t in n(t) = 0?
-1, 2/7, 1
Let l(m) be the second derivative of -m**6/120 + m**4/24 + 2*m**2 + 4*m. Let g(k) be the first derivative of l(k). Factor g(u).
-u*(u - 1)*(u + 1)
Let c(w) = 9*w**2 - 6*w**2 + 3*w - 5 + 3*w. Let a(n) = -1. Let b(v) = 5*a(v) - c(v). Find t, given that b(t) = 0.
-2, 0
Let r = -10 + 14. Solve -2*n**2 - 2*n + r*n - 2 + 3*n**2 - 2*n**3 + n**2 = 0.
-1, 1
Let c(t) be the third derivative of -t**6/180 - t**2. Find w such that c(w) = 0.
0
Let t be (3 - 17/(-16)) + -4. Let b(x) be the second derivative of -1/12*x**3 - 3*x - t*x**4 + 0*x**2 + 0. Suppose b(n) = 0. What is n?
-2/3, 0
Let p(n) be the second derivative of n**6/40 - n**4/8 - n**2/2 - 4*n. Let q(r) be the first derivative of p(r). Find t, given that q(t) = 0.
-1, 0, 1
Let a(n) = -7*n**3 - 81*n**2 - 585*n - 1375. Let p(d) = 20*d**3 + 244*d**2 + 1756*d + 4124. Let f(g) = 8*a(g) + 3*p(g). What is l in f(l) = 0?
-7
Let p(r) be the first derivative of -3*r**5/5 + r**3 + 8. Factor p(w).
-3*w**2*(w - 1)*(w + 1)
Let w(k) = 3*k**4 - 2*k**3 - k**2 - 1. Let n(z) = z**4 + 3*z**3 - z**2 - 1. Let f(d) = d**3. Let j(v) = 3*f(v) - n(v). Let o(q) = -j(q) - w(q). Factor o(c).
-2*c**3*(c - 1)
Let w(y) = -y**3 - y**2 - 7*y - 3. Let h(u) = -u**3 - 6*u - 2. Let v(d) = -4*h(d) + 3*w(d). Factor v(c).
(c - 1)**3
Let a = -35 + 107/3. Factor 28/3*v**3 - a - 1/3*v + 29/3*v**2.
(v + 1)*(4*v - 1)*(7*v + 2)/3
Let m = 5/2 - 2. Let p(q) be the second derivative of q**2 - 1/20*q**5 + 0 + m*q**3 + 0*q**4 + 2*q. Solve p(z) = 0.
-1, 2
Let a be 0/(2/(-2 + 1 + 3)). Let a + 2/7*z**4 + 0*z**2 + 2/7*z**3 + 0*z = 0. Calculate z.
-1, 0
Suppose 8 = 3*n + w + 5, -6 = n - 2*w. Find r such that n*r + 0 + 1/3*r**2 + 1/6*r**3 = 0.
-2, 0
Let s be -3 - -2*(-57)/6. Let b be 4/(-20) - s/10. Factor -4/7*g + 6/7*g**b - 2/7*g**4 + 0*g**3 + 0.
-2*g*(g - 1)**2*(g + 2)/7
Factor 0 - 2/7*r**4 - 2/7*r**3 + 8/7*r + 8/7*r**2.
-2*r*(r - 2)*(r + 1)*(r + 2)/7
Let z(c) = 10*c + 80. Let l be z(-8). Solve l + 2/5*b**3 + 2/5*b + 4/5*b**2 = 0.
-1, 0
Factor 20*o**2 + 11 + 5 - 45*o**3 + 24*o + 49*o**3 + 8*o.
4*(o + 1)*(o + 2)**2
Let m(o) = -8*o**3 - o. Let g be m(-1). Let d = -5 + g. Factor p**5 + p**d + 0*p + 0*p.
p**4*(p + 1)
Let r(n) = -57*n**3 + 201*n + 177. Let i(a) = -7*a**3 + 25*a + 22. Let m(g) = -33*i(g) + 4*r(g). Solve m(v) = 0.
-2, -1, 3
Let l(o) be the second derivative of 0*o**3 + 0 + 0*o**4 + 0*o**2 - 2/45*o**6 - 1/30*o**5 + 1/21*o**7 + 2*o. Factor l(d).
2*d**3*(d - 1)*(3*d + 1)/3
Let i(h) be the first derivative of -1/6*h**6 + 0*h**3 + 0*h**2 - 8 + 0*h + 0*h**5 + 1/4*h**4. Factor i(j).
-j**3*(j - 1)*(j + 1)
Determine g so that 0 + 3*g - 27/2*g**2 = 0.
0, 2/9
Suppose -1298 = 2*x - 1302. Let v - 11/5*v**x + 2/5 + 4/5*v**3 = 0. What is v?
-1/4, 1, 2
Let w(n) = 2 + n**2 - 3*n**2 + 0*n**3 - n**3. Let p be w(-2). Suppose -1/3*m + 1/3*m**p + 0 = 0. What is m?
0, 1
Find n such that -3*n**5 - 8*n**3 + n**3 + 4*n**3 - 6*n**4 + 0*n**5 = 0.
-1, 0
Suppose 44*i - 15 = 39*i. Let c(o) be the second derivative of 11/3*o**3 + 8/3*o**4 + 2*o**2 + i*o + 7/10*o**5 + 0. Factor c(a).
2*(a + 1)**2*(7*a + 2)
Let w = -2/767 - -6158/8437. Factor -16/11 + w*j - 10/11*j**3 + 2/11*j**4 + 12/11*j**2.
2*(j - 2)**3*(j + 1)/11
Let w = -77 - -77. Let m(t) be the second derivative of w*t**3 + 1/147*t**7 + 3*t + 1/21*t**4 - 1/70*t**5 + 0*t**2 + 0 - 2/105*t**6. Solve m(o) = 0 for o.
-1, 0, 1, 2
Factor 5/2*q**4 + 5/2*q**5 + 0*q - 5/2*q**3 - 5/2*q**2 + 0.
5*q**2*(q - 1)*(q + 1)**2/2
Suppose 4*q + 2 = -2*r - 0, 3*q - 2*r - 2 = 0. Factor 1/4*c + q + c**2.
c*(4*c + 1)/4
Let r(p) be the first derivative of 3/4*p**4 - 3/2*p**2 + 0*p - 1 + p**3 - 3/5*p**5. Factor r(x).
-3*x*(x - 1)**2*(x + 1)
Solve -30/7*l - 4/7 - 48/7*l**2 + 32/7*l**3 = 0 for l.
-1/4, 2
Let y(l) be the second derivative of -l**7/28 + l**6/20 + 3*l**5/20 - l**4/4 - l**3/4 + 3*l**2/4 + l. Find i such that y(i) = 0.
-1, 1
Let x = -5 + 11. Factor -x*n**4 + 4*n**5 - 2*n**5 + 6*n**3 - 3*n**2 + n**2.
2*n**2*(n - 1)**3
Suppose -2*u + 3 - 1 = 0. Let w = u - -2. Factor 4 - 2 + d**2 - w*d**2.
-2*(d - 1)*(d + 1)
Suppose -4*m + 46 = 2*w, 4*m + m = 3*w + 52. Suppose 0 = -4*s + m + 1. Solve -2*q**3 + 0*q**3 - 3*q**2 - 3*q**s + 4*q**3 - 2*q = 0 for q.
-2, -1, 0
Factor 0 - 2/5*p**2 + 2/5*p**4 + 0*p + 0*p**3.
2*p**2*(p - 1)*(p + 1)/5
Let n(a) be the second derivative of -a**4/60 + a**2/10 + 13*a. Factor n(w).
-(w - 1)*(w + 1)/5
Let r(s) = -6*s - 1. Let c be r(-2). Let x = -6 + c. Solve 0 + 4/7*j**3 - 2/7*j**x - 2/7*j + 0*j**2 + 0*j**4 = 0.
-1, 0, 1
Let j(v) be the third derivative of v**5/90 - 2*v**4/3 + 16*v**3 + 15*v**2. Let j(h) = 0. What is h?
12
Let t(l) be the first derivative of -l**7/560 + l**6/120 - l**5/80 - l**3 - 3. Let j(r) be the third derivative of t(r). Factor j(w).
-3*w*(w - 1)**2/2
Let k(a) = -2*a - 10. Let n be k(-7). Factor -18*m**4 - 9*m**4 - 36*m**2 + 6*m**5 - 2 + 44*m**3 + m**n + 14*m.
2*(m - 1)**4*(3*m - 1)
Let s(l) = 4*l - 37. Let r be s(10). Let p = -1/4 - -1/2. Determine c, given that 1/2*c**r - 1/2*c**2 - 1/4*c - 1/4*c**5 + p + 1/4*c**4 = 0.
-1, 1
Suppose -21/2*k**3 - 6*k**4 - 3 + 9*k**2 + 21/2*k = 0. Calculate k.
-2, -1, 1/4, 1
Let z(i) = -6*i**4 + 15*i**3 - 9*i**2 - 12*i + 3. Let u(w) = w**4 - w**3 + 1. Suppose -2*t = -4*t - 2. Let q(r) = t*z(r) - 9*u(r). Factor q(l).
-3*(l - 1)**2*(l + 2)**2
Let v(q) = q**3 + 7*q**2 + q - 4. Let b be v(-6). Let z be -4*(1 + b/(-20)). Solve -z*x**2 + 6/5*x + 2/5*x**3 - 2/5 = 0.
1
Let r be (8/(-12))/(15/(-9)). Let o be 6*((-1)/3)/(-1). Factor 2/5*h**o + r*h - 2/5*h**3 - 2/5.
-2*(h - 1)**2*(h + 1)/5
Factor -6*h**3 + 11*h - h**2 - 5*h + 3 - 11*h**2 + 9*h**4.
3*(h - 1)**2*(h + 1)*(3*h + 1)
Let q(z) = 4*z**2 + 24*z - 20. Let d(u) = 2*u - 1. Let p(x) = 20*d(x) - q(x). Determine o, given that p(o) = 0.
0, 4
Let x(t) =