 + 12. Let y(b) = 30*b**2 + 5*b - 24. Let n(f) = 11*x(f) + 6*y(f). Factor n(s).
4*(s - 1)*(s + 3)
Let v(d) = -2*d + 9. Let h be v(6). Let b be -1 - h - (-10)/(-8). Find w such that 1/4*w**2 + b*w + 1/2 = 0.
-2, -1
Let y = -217 - -217. Factor -2/7*l**2 + y*l + 2/7.
-2*(l - 1)*(l + 1)/7
Let z(u) be the third derivative of -u**6/240 - u**5/120 + u**4/24 + 8*u**2. Factor z(f).
-f*(f - 1)*(f + 2)/2
Let r = 2438/21 + -116. Let u(c) be the first derivative of r*c**3 + 1/14*c**4 - 1 + 0*c + 0*c**2. Factor u(s).
2*s**2*(s + 1)/7
Let h be (1/4)/(2/8). Suppose -1 = -2*r + h. Factor 3 + 2*x**2 + 4*x + r - 2 + 0.
2*(x + 1)**2
Let n(f) be the first derivative of 1/6*f**3 - 1/2*f**5 - 5 + 0*f - 1/6*f**6 + 1/4*f**2 - 3/8*f**4. Suppose n(c) = 0. Calculate c.
-1, 0, 1/2
Suppose -4*l + 9 = -3. Let s = l - 1. Find u, given that 0*u + 0 - 1/2*u**5 + 0*u**4 + 0*u**3 + 0*u**s = 0.
0
Let h(l) be the first derivative of l**6/12 - 3*l**5/5 + 13*l**4/8 - 2*l**3 + l**2 + 39. Factor h(s).
s*(s - 2)**2*(s - 1)**2/2
Solve -24*d**2 - 3*d - 18*d**2 + 36*d**2 = 0.
-1/2, 0
Let r(k) = 9*k**2 + 4*k - 3. Let m(q) = 4*q**2 + 2*q - 2. Let g be 1/3 - (-14)/3. Let v(x) = g*m(x) - 2*r(x). Determine d so that v(d) = 0.
-2, 1
Let a be (6/3)/(-2)*5. Let c = -2 - a. Factor -g**2 + 1 - 2*g + c*g + 0*g**2 - g**3.
-(g - 1)*(g + 1)**2
Let w(d) be the third derivative of d**8/2520 - d**6/540 + 4*d**3/3 + d**2. Let x(o) be the first derivative of w(o). Factor x(p).
2*p**2*(p - 1)*(p + 1)/3
Let u = -169 + 174. Let h(t) be the third derivative of -1/9*t**3 + 0 - 5/72*t**4 + 0*t - 1/45*t**u - 1/360*t**6 + 3*t**2. Factor h(n).
-(n + 1)**2*(n + 2)/3
Let -3/5*b**2 + 6/5 - 3/5*b = 0. Calculate b.
-2, 1
Let q = 11 + -9. Factor -5*c - c + 13*c**q - 5*c**2 - 5*c**2.
3*c*(c - 2)
Let z(h) be the first derivative of h**4/16 - h**3/3 + h**2/2 + 25. Find n such that z(n) = 0.
0, 2
Suppose -3*n + 6 = -3. Let o(f) be the second derivative of 0*f**n + 0*f**2 + 0 - f + 1/20*f**5 - 1/12*f**4. Factor o(k).
k**2*(k - 1)
Let o(d) be the second derivative of 0*d**4 + 0*d**2 - 1/60*d**6 - 1/40*d**5 + 0*d**3 - 2*d + 0. Factor o(w).
-w**3*(w + 1)/2
Suppose -2*b = 4*q - 8*q - 2, 3*b - 23 = -4*q. Factor 14*m - 12*m - 3*m**q + m**2.
-2*m*(m - 1)
Let k(o) be the first derivative of -o**5/210 + o**4/42 - 3*o**2 + 6. Let y(w) be the second derivative of k(w). Determine i so that y(i) = 0.
0, 2
Find v, given that -2*v**3 + 0 - 2*v**2 + 0*v - 1/2*v**4 = 0.
-2, 0
Find v, given that 0 - v**2 + 3/2*v**3 - v**4 + 1/4*v + 1/4*v**5 = 0.
0, 1
Let a(l) be the second derivative of -l**6/60 + l**5/30 + l**4/12 - l**3/3 + 3*l**2 - 8*l. Let w(b) be the first derivative of a(b). Factor w(c).
-2*(c - 1)**2*(c + 1)
Suppose -3*y - b = -6*b + 12, 3*b - 10 = -y. Let g be -3 - (-1 + y - 3). Let 0 - 2/5*u - 4/5*u**2 + 2/5*u**5 + 4/5*u**4 + g*u**3 = 0. What is u?
-1, 0, 1
Determine h, given that 36*h + 7*h**2 - 3*h**4 + 100*h**3 - 79*h**3 - 55*h**2 = 0.
0, 2, 3
Let z(v) be the first derivative of 2*v**3/3 + 5. Factor z(t).
2*t**2
Suppose -2*n = -7*n + 25. Let x be n/(-10) - (-3)/4. Factor 1/4*r + 0 - x*r**3 + 0*r**2.
-r*(r - 1)*(r + 1)/4
Let p(y) = -5*y**4 + 40*y**3 - 96*y**2 + 129. Let m(s) = -5*s**4 + 40*s**3 - 95*s**2 + 130. Let i(f) = -6*m(f) + 5*p(f). Factor i(z).
5*(z - 3)**3*(z + 1)
Determine l so that 2/11*l**2 + 512/11 - 64/11*l = 0.
16
Factor -507/5 + 78/5*a - 3/5*a**2.
-3*(a - 13)**2/5
Let u(d) be the first derivative of -d**4/18 - 2*d**3/3 - 3*d**2 + d - 6. Let i(b) be the first derivative of u(b). Suppose i(x) = 0. What is x?
-3
Let w(t) be the third derivative of t**8/140 - t**7/56 - t**6/40 + t**5/8 - t**4/8 + t**3/2 + 3*t**2. Let i(d) be the first derivative of w(d). Factor i(c).
3*(c - 1)**2*(c + 1)*(4*c - 1)
Let q(u) be the third derivative of u**6/120 - u**5/20 + 2*u**3/3 - 9*u**2. Factor q(j).
(j - 2)**2*(j + 1)
Let q(w) be the second derivative of w**6/30 + w**5/100 - w**4/12 - w**3/30 + 5*w. Factor q(m).
m*(m - 1)*(m + 1)*(5*m + 1)/5
Let q(n) = n**4 - n**3 + n. Let c(o) = -2*o**4 - 18*o**3 + 48*o**2 + 68*o. Let s(z) = c(z) + 4*q(z). Determine p so that s(p) = 0.
-1, 0, 6
Suppose -4*c + 16 = 4. Determine n so that 3/2*n**c - 3/4*n**2 + 0 - 3/4*n**4 + 0*n = 0.
0, 1
Let o(y) be the second derivative of y**6/540 - y**5/180 - y**4/18 - y**3/2 + y. Let w(f) be the second derivative of o(f). Factor w(l).
2*(l - 2)*(l + 1)/3
Let n(x) be the first derivative of -x**6/27 - 2*x**5/45 + x**4/6 + 10*x**3/27 + 2*x**2/9 - 1. Factor n(r).
-2*r*(r - 2)*(r + 1)**3/9
Let i = 28892/45 - 642. Let p(q) be the second derivative of -i*q**6 - 2/3*q**2 + 0 + 2/9*q**4 - q - 1/9*q**7 - 7/9*q**3 + 7/15*q**5. Find j such that p(j) = 0.
-1, -2/7, 1
Suppose 0*z - 14 = -3*v - 2*z, 0 = -4*v + z + 4. Determine c so that 10*c**3 - 4*c**3 + 9*c**3 + 6*c**2 + 12*c**4 + 5*c**5 - v*c**5 = 0.
-2, -1, 0
Find c such that 59*c**2 - 8*c**3 - 69*c**2 + 3*c**3 - 5*c = 0.
-1, 0
Let x = -4 - -6. Let v = 19 - 17. Factor 2*p + v + 4*p + 2*p**x - 2*p.
2*(p + 1)**2
Let b be 447/630 + 12/(-18). Let w(v) be the second derivative of -3*v + 1/6*v**4 - 1/21*v**6 + 1/7*v**3 - 2/7*v**2 + 0 - b*v**5. Suppose w(f) = 0. What is f?
-1, 2/5, 1
Suppose -50/3 - 2/3*j**2 - 20/3*j = 0. What is j?
-5
Let n(o) be the second derivative of -o**2 + 7*o + 0 + 2/3*o**3 - 1/6*o**4. What is j in n(j) = 0?
1
Let j = 21 - 15. Determine w so that -3*w**2 - 15*w - 3*w + 27 + 0*w + j*w**2 = 0.
3
Let d(r) be the first derivative of 0*r**2 - 18/25*r**5 + 0*r + 0*r**3 + 2 + 7/15*r**6 + 1/5*r**4. Let d(b) = 0. Calculate b.
0, 2/7, 1
Let u(m) be the third derivative of -m**6/40 + 3*m**4/8 - m**3 + 7*m**2. Let u(t) = 0. Calculate t.
-2, 1
Let f = 32 - 222/7. Suppose 0 - 2/7*l - f*l**3 + 4/7*l**2 = 0. Calculate l.
0, 1
Let z(p) = -4*p**3 + 3*p**2 + 6*p - 3. Let g(c) = -39*c**3 + 30*c**2 + 60*c - 30. Let f(l) = 2*g(l) - 21*z(l). Solve f(o) = 0 for o.
-1, 1/2, 1
Let c be ((-10)/(-15))/((-24)/(-3)). Let n(r) be the first derivative of c*r**4 - 1/6*r**2 - 2 + 0*r**3 + 0*r. Find j, given that n(j) = 0.
-1, 0, 1
Suppose 0 = -4*z + 8*z + 12, -5*d + 4*z = -22. Factor 0*x + 0 + 1/3*x**d.
x**2/3
Let c be 24/9 + 3/9. Suppose -15*k**3 + 3 - 2*k - 9*k**2 - 7*k + 12*k**c - 6 = 0. Calculate k.
-1
Let z(p) be the second derivative of -p**6/80 - p**5/20 - p**2 + p. Let t(w) be the first derivative of z(w). Find r, given that t(r) = 0.
-2, 0
Factor -2*j**4 + j**3 + j**4 - 20*j + 20*j.
-j**3*(j - 1)
Let a(x) be the second derivative of -x**8/224 + x**7/210 + 3*x**6/80 - x**4/12 + 3*x**2 - 2*x. Let k(w) be the first derivative of a(w). Solve k(r) = 0 for r.
-1, 0, 2/3, 2
Let x(z) = -z + 1. Let r be x(-2). Suppose -3*w = r*h - 3, -2*w + 0*h = -h - 5. Solve 0*v - 5/2*v**4 - 2*v**w + 4*v**3 + 1/2*v**5 + 0 = 0.
0, 1, 2
Let u be 3/((45/12)/5). Factor -2*s**u - 6*s**2 + 5*s**2 + 3*s**2 + s**5 - s**3.
s**2*(s - 2)*(s - 1)*(s + 1)
Find d such that 0 + 0*d + 3/4*d**2 + 1/4*d**3 = 0.
-3, 0
Let j(v) = -v**3 - 10*v**2 - 9*v + 6. Let h be j(-9). Let d = h - 2. Determine c, given that c**2 + 2*c**5 + 2*c + 4*c**d - 4*c - 5*c**2 = 0.
-1, 0, 1
Let y = 0 + 0. Suppose y = -2*g + r + r, -3*r = 0. Let -3*n**3 + 3*n**4 - n**4 + n + g*n**3 = 0. Calculate n.
-1/2, 0, 1
Let s = 4 - 1. Factor r**2 - r**3 - 2*r**3 + 0*r**s + 2*r.
-r*(r - 1)*(3*r + 2)
Let c(d) = d**2 - 4*d + 1. Let k(t) = -7*t**2 + 25*t - 5. Let o(u) = 39*c(u) + 6*k(u). Determine h, given that o(h) = 0.
-3, 1
Determine d so that -20*d**3 + 5*d**4 + 12*d**2 + 2*d - 15*d + 13*d**2 + 3*d = 0.
0, 1, 2
Let x(g) = g**3 + 4*g**2 + 2. Let l be x(-4). Find y such that l*y - 3*y - y + 6 - 3*y**2 - y = 0.
-2, 1
Let l(v) be the third derivative of 0 + 4*v**2 + 1/40*v**4 - 1/100*v**5 + 0*v + 0*v**3. Determine s so that l(s) = 0.
0, 1
Let n(v) = 2*v**3 - 6*v**2 + 2*v - 2. Let m(s) = s**2 - s + 1. Let p = 5 + -4. Let c(i) = p*n(i) + 2*m(i). Factor c(x).
2*x**2*(x - 2)
Determine m, given that 2 - 4185*m**2 - 600*m - 5 - 3 - 14 + 4805*m**3 = 0.
-2/31, 1
Factor 30*u**2 - 14*u**2 - 11*u**2 - 5*u**3.
-5*u**2*(u - 1)
Let b(y) be the first derivative of 0*y + 9 + 14/15*y**5 - 5/6*y**4 + 0*y**2 - 4/9*y**3. Let b(h) = 0. What is h?
-2/7, 0, 1
Let m = -1083 - -1083. Factor -2/11*s**2 + m*s + 0.
-2*s**2/11
Factor 9 - j**3 + 292*j**2 - 297*j**2 + 2*j - 4 - j.
-(j - 1)*(j + 1)*(j + 5)
Let b(u) = u + 8. Let t be b(-5). 