 -i*t - o*t**2 + 2*t**2 + 3*t.
-t*(t + 2)
Solve -164/3*r**2 + 8/3 + 80/3*r**5 + 52*r**4 - 92/3*r**3 + 4*r = 0.
-2, -1, -1/5, 1/4, 1
Let f(z) = 5*z**4 + 15*z**3 - 15*z**2 - 5*z + 5. Let l(t) = -t**5 + 4*t**4 + 15*t**3 - 14*t**2 - 4*t + 4. Let g(r) = 4*f(r) - 5*l(r). Factor g(m).
5*m**2*(m - 1)**2*(m + 2)
Suppose 0 = -7*w + 3*w + 100. Suppose 4*m - 2*i = 14, -4*i + 9*i = 5*m - w. Suppose 1/3 + 1/3*c**m - 2/3*c = 0. Calculate c.
1
Let x be -2 - 3*8/(-9). Factor x*c**2 + 0*c - 2/3.
2*(c - 1)*(c + 1)/3
Let z(r) = r**3 + 8*r**2 + 6*r - 7. Let a be z(-7). Let j = 4 - 2. Let 0*n + a*n**j + 1/4*n**3 + 0 = 0. Calculate n.
0
Let f(h) = -4*h. Let n be f(-1). Factor -3*w**4 + n*w**4 + 0*w**4 - 3*w**4.
-2*w**4
Let h(p) = 144*p - 4. Let f be h(-2). Let b = f - -2048/7. What is s in 6/7*s + 2/7*s**2 + b = 0?
-2, -1
Let k(g) = g**2 - 7*g - 3. Let a be k(7). Let v be a + 3 + 6/3. Suppose 4/7 - 2/7*t**v - 2/7*t = 0. Calculate t.
-2, 1
Let a(r) = -20*r + 200. Let w be a(10). Factor w + 0*t**3 + 0*t - 2/5*t**2 + 2/5*t**4.
2*t**2*(t - 1)*(t + 1)/5
Let k(r) be the second derivative of r**7/105 - r**6/20 + r**4/3 - 3*r**2/2 + r. Let m(w) be the first derivative of k(w). Find a such that m(a) = 0.
-1, 0, 2
Let w be (15 + -17)*2/(-14). Let -w*z**2 - 4/7 + 6/7*z = 0. Calculate z.
1, 2
Let y = 3 + 2. Let x be y/(-2) + (-16)/(-4). Factor -x*f - 1/2*f**2 - 1.
-(f + 1)*(f + 2)/2
Let c be (2/(-3))/(11/(-66)). Let x(j) be the second derivative of -j**2 - 1/24*j**c + j + 0 - 1/3*j**3. Factor x(r).
-(r + 2)**2/2
Let l(a) be the first derivative of -5 - 11/3*a**2 + 3/2*a**4 - 8/3*a**3 - 4/3*a. Factor l(p).
2*(p - 2)*(3*p + 1)**2/3
Let i be 2 + -2*(-12)/3. Suppose 0 = 2*h - 4*h + i. Solve -5*l**5 + l**4 + 3*l**3 + 7*l**4 - 7*l**2 + 2*l + l**h = 0.
-1, 0, 1/2, 2
Let q(j) be the first derivative of -2*j**6/3 + 16*j**5/5 + j**4 - 16*j**3/3 - 41. Suppose q(t) = 0. What is t?
-1, 0, 1, 4
Let g be -2 + -1 + (-5 - 8). Let v be 25/44 - g/88. Factor 0*x - x**2 + 0 + v*x**4 + 1/4*x**5 + 0*x**3.
x**2*(x - 1)*(x + 2)**2/4
Let t be 6*(-1)/((-3)/2). Suppose 5*x - 4*i + 6 = 0, -5*x + i + 22 = t*i. Solve -1/3*a**x + 2/3*a - 1/3 = 0.
1
Let p be 4/3*18/6. Let q(s) = -s + 10. Let h be q(6). What is n in -4*n**3 + n**h - 2*n**4 - p*n**2 + 3*n**4 + 2*n + 2*n**5 + 2 = 0?
-1, 1
Let n(u) be the first derivative of 0*u**2 + 7 - 1/24*u**4 + 1/18*u**3 + 0*u. Factor n(l).
-l**2*(l - 1)/6
Let k be 0 + -2 + 27 - 3. Solve 4*n**4 - 2*n**5 - k*n**3 - 27*n**3 + 47*n**3 = 0.
0, 1
Let w(d) be the first derivative of 4/35*d**5 + 0*d - 1/14*d**2 + 6 - 9/28*d**4 + 2/7*d**3. Suppose w(o) = 0. What is o?
0, 1/4, 1
Factor 0*i**3 - i**3 - 2*i**2 - 2*i**2 + 5*i**2.
-i**2*(i - 1)
Let l(r) = -r**2 + 9*r + 4. Let z be l(7). Let o be 2*(0 - (-3)/z). Suppose 0 + 1/3*u**2 + o*u = 0. Calculate u.
-1, 0
Let f(a) be the first derivative of -a**3/21 - a**2 - 7*a - 10. Factor f(k).
-(k + 7)**2/7
Let i(u) be the second derivative of u**4/60 + u**3/3 + 5*u**2/2 + 6*u. Factor i(l).
(l + 5)**2/5
Factor p**3 + 0*p**3 - 13*p + 0*p**3 + 6 - 4*p**2 - p**4 + 11*p**2.
-(p - 2)*(p - 1)**2*(p + 3)
Let g be (2 - -29) + (-2)/(-1). Let y = -65/2 + g. Factor y*t**2 + 0 - 1/2*t.
t*(t - 1)/2
Factor 0*t - 2*t**2 + 0*t - 4 + 10 + 4*t.
-2*(t - 3)*(t + 1)
Let n(t) be the first derivative of t**8/560 - 2*t**7/525 + t**6/600 - t**2 - 3. Let r(d) be the second derivative of n(d). Factor r(q).
q**3*(q - 1)*(3*q - 1)/5
Let s(c) = c**2 - 7*c + 2. Let f be s(7). Factor 3 + 3 - n**f - 5.
-(n - 1)*(n + 1)
Suppose -17*w**2 + 5 + 10 - 18*w**3 - 11 - 5*w**4 = 0. What is w?
-2, -1, 2/5
Let y(a) be the second derivative of -a**7/168 + a**6/40 - a**5/40 - a**4/24 + a**3/8 - a**2/8 + a. Solve y(w) = 0.
-1, 1
Let s(y) be the third derivative of -y**9/20160 + y**7/560 + y**6/120 - y**5/12 - 3*y**2. Let v(c) be the third derivative of s(c). Let v(j) = 0. What is j?
-1, 2
Factor 18*c**2 - 15*c**3 - 5*c**3 + c**4 + 28*c**3 - 27.
(c - 1)*(c + 3)**3
Suppose 2 = 2*r - 2. Factor -t**3 + 2*t**r + t**2 - 2*t**3 + t**4 - t.
t*(t - 1)**3
Suppose 2*s + 7 = 4*s - 3*q, 3*s - 3 = -3*q. Let d(f) = f**3 - f**2 + f - 1. Let i(c) = 4*c**3 + 2*c - 2. Let p(a) = s*d(a) - i(a). Let p(m) = 0. Calculate m.
-1, 0
Suppose m - 6*m = -15. Let w(h) be the third derivative of 0 - 1/60*h**5 + 1/6*h**m - 2*h**2 - 1/120*h**6 + 1/24*h**4 + 0*h. Find t, given that w(t) = 0.
-1, 1
Let l(s) = 5*s**2 + s - 4. Let a(m) = -11*m**2 - 2*m + 9. Let d(w) = 6*a(w) + 13*l(w). Factor d(r).
-(r - 2)*(r + 1)
Let t(w) = w + 7. Let k be t(-7). Solve g + 4*g - g**2 - 4 - g + k*g = 0.
2
Let s(i) be the third derivative of i**6/480 - i**5/120 + 5*i**2. Factor s(d).
d**2*(d - 2)/4
Let z(q) be the third derivative of -q**7/140 - q**6/80 + q**5/20 + 6*q**2. Factor z(u).
-3*u**2*(u - 1)*(u + 2)/2
Let r(u) be the first derivative of u**8/5880 - u**7/490 + u**6/105 - u**5/42 + u**4/28 - 2*u**3/3 + 6. Let k(p) be the third derivative of r(p). Factor k(o).
2*(o - 3)*(o - 1)**3/7
Factor n**2 + 0 + 3/4*n + 1/4*n**3.
n*(n + 1)*(n + 3)/4
Suppose -5*l + 4*q = -0*q - 23, 3*l + 5*q = -1. Let i(z) be the first derivative of 0*z + 4/3*z**l + 2 - 14/5*z**5 + 5/2*z**4 + 0*z**2. Factor i(y).
-2*y**2*(y - 1)*(7*y + 2)
Let t(z) be the second derivative of -z**5/10 + z**4/3 + 4*z**3/3 - 3*z**2/2 - 3*z. Let p(b) be the first derivative of t(b). Factor p(k).
-2*(k - 2)*(3*k + 2)
Determine z so that 1/3*z - 1/3*z**3 - 2/3*z**2 + 2/3 = 0.
-2, -1, 1
Solve 0 - 2*h**2 - 2/5*h**3 + 0*h = 0 for h.
-5, 0
Let i(c) = -4*c - 30. Let g be i(-8). Suppose -3/4 - 3/4*z**4 + 0*z + 3/2*z**g + 0*z**3 = 0. Calculate z.
-1, 1
Let t = 3/10 + 1/30. Let l(n) be the first derivative of 0*n**2 + 4 + 0*n - t*n**3 + 1/8*n**4. Factor l(w).
w**2*(w - 2)/2
Let w(v) be the first derivative of v**5/30 + v**4/8 - v**2/3 - 21. Factor w(q).
q*(q - 1)*(q + 2)**2/6
Let a(n) be the third derivative of 1/24*n**4 + 0*n**3 + 1/105*n**7 + 0 - 1/336*n**8 + 3*n**2 + 0*n**6 - 1/30*n**5 + 0*n. Factor a(w).
-w*(w - 1)**3*(w + 1)
Let k(c) = c + 6. Let i be k(-3). Factor -3*s**2 - 3*s - 3*s**i + 5*s + 4*s.
-3*s*(s - 1)*(s + 2)
Let -2/5*k - 1/5*k**4 + 2/5*k**3 + 0 + 1/5*k**2 = 0. What is k?
-1, 0, 1, 2
Let d(b) be the second derivative of -1/18*b**4 + 1/36*b**3 + 0*b**2 + 0 - 1/120*b**5 + b + 1/45*b**6. Factor d(y).
y*(y - 1)*(y + 1)*(4*y - 1)/6
Let l(c) be the third derivative of -1/120*c**6 + 0 + 0*c**5 + 0*c**4 + 0*c**3 + 1/210*c**7 + 3*c**2 + 0*c. Let l(f) = 0. Calculate f.
0, 1
Suppose 0 - 6 = -3*p. Factor p*k + 5*k - 2*k**3 - 2*k - 3*k.
-2*k*(k - 1)*(k + 1)
Let i(u) be the second derivative of 0 + 0*u**3 - 1/2*u**5 - 4/15*u**6 + 4*u - 1/3*u**4 - 1/21*u**7 + 0*u**2. Determine f, given that i(f) = 0.
-2, -1, 0
Suppose t + 2*t**2 + 7*t + 0*t - 5 + 13 = 0. Calculate t.
-2
Let j(t) be the second derivative of t**5/20 - t**4/8 - t**3 - 3*t**2 - 6*t. Let l(u) be the first derivative of j(u). What is a in l(a) = 0?
-1, 2
Let v = 4693/1332 - -20/333. Let j = v - 13/4. Factor -j*l**2 + l - 2/3.
-(l - 2)*(l - 1)/3
Suppose 0 = 16*l - 12*l - 8. Let a(r) be the first derivative of -3 - 4/3*r - 1/9*r**3 + 2/3*r**l. Factor a(i).
-(i - 2)**2/3
Let h(z) be the first derivative of -5*z**3/3 + 17. Factor h(n).
-5*n**2
Suppose 2*s - 5*o = 4 + 1, -4*s = 2*o - 22. Let b be -3 - 5/(s/(-6)). Factor 4/11*i**2 - 2/11*i**4 - 2/11*i - 2/11*i**5 + 4/11*i**b - 2/11.
-2*(i - 1)**2*(i + 1)**3/11
Let q(l) be the third derivative of l**6/24 + l**5/4 - 10*l**3/3 + 17*l**2. Factor q(n).
5*(n - 1)*(n + 2)**2
Let r be (-19)/(-30) - (-1)/5. Let a = 7/6 - r. What is s in -a*s**3 + 0*s**2 - 1/3*s**4 + 0*s + 0 = 0?
-1, 0
Suppose 6*y + 46*y**3 - 99*y**3 + 3*y**2 + 50*y**3 = 0. What is y?
-1, 0, 2
Let c = 11 - 8. Factor g**2 + g**4 - 55*g**c + 58*g**3 + g**2.
g**2*(g + 1)*(g + 2)
Suppose -m**3 + 6*m**4 - m**2 - 2*m - 20*m**2 + 5*m**4 + 2*m**4 + 3*m**5 + 8 = 0. What is m?
-4, -1, 2/3, 1
Let v be ((-34)/51)/(2 - (-51)/(-18)). Suppose 2/5 + 2/5*h**2 - v*h = 0. Calculate h.
1
Let t = -64 + 64. Factor 0*g + 1/2*g**2 + t.
g**2/2
Factor -4/7*i**2 - 576/7 + 96/7*i.
-4*(i - 12)**2/7
Suppose 0 = -4*p + p - 4*w + 274, 5*w = -2*p + 192. Find g, given that -1 + 4 - 95*g**2 + p*g**2 + 6*g = 0.
-1/3, 1
Let h(l) be the first derivative of -3*l**4/7 - 4*l**3/3 - 4*l**2/7 + 3. Find g, given that h(g) = 0.
-2, -1/3, 0
Suppose -4*v - 52 + 17 = -5*i, 2*