3*q**2 - 9*q. Let g(w) = -w. Let t(o) = o**2 + 3*o - 7. Let u be t(-5). Let l = 0 + -1. Let s(d) = l*z(d) + u*g(d). Factor s(m).
-3*m*(m - 2)
Let u = 1/395 + -1983/3160. Let v = u - -31/24. Suppose v*o**2 + 0*o**3 + 0 - 2/3*o**4 + 0*o = 0. Calculate o.
-1, 0, 1
Let x be (0 - -1)*(17 - 17). Let z = 24 - 71/3. Factor 0*u**2 + x*u - z*u**3 + 0 + 1/3*u**4.
u**3*(u - 1)/3
Let t = 0 - -2. Find z, given that -2 + z**2 - 2*z**t + 2*z + 0*z**2 + z = 0.
1, 2
Let a = 10 - 5. Suppose -5*y + a*y**4 + 2 + 10*y**3 + 3*y**5 - 4*y**2 - 3*y**4 - 8*y**5 = 0. What is y?
-1, 2/5, 1
Let m(g) = g**3 - 6*g**2 - 6*g - 4. Let z be m(7). Determine o, given that 4*o**3 - 7*o**z + 0*o**4 + 2*o**3 + o**4 = 0.
0, 1
Let y(z) be the third derivative of 0 + 0*z**3 + 1/30*z**4 + z**2 + 1/150*z**5 + 0*z - 1/300*z**6. Factor y(t).
-2*t*(t - 2)*(t + 1)/5
Let d(o) = -o**3 + 4*o**2 + 8*o - 11. Let h be d(5). What is i in 0 + 1/3*i**h + 4/3*i**3 + 4/3*i**2 + 0*i = 0?
-2, 0
Factor 6 - 10*q + 19*q - q**2 - 12*q - 2.
-(q - 1)*(q + 4)
Let g be 1*7*2/6. Let j be (-2)/(-12)*12/30*10. Solve -7/3*f + j - 5/3*f**4 + g*f**3 + f**2 = 0.
-1, 2/5, 1
Let p = 6 + -4. Factor 2*d**2 + 0*d**p - 5 - 2*d + 1.
2*(d - 2)*(d + 1)
Let i(m) be the second derivative of -m**4/20 - m**3/5 - 3*m**2/10 + m. Let i(l) = 0. What is l?
-1
Let z(k) be the second derivative of -k**9/7560 - k**8/3360 - k**4/3 - 3*k. Let n(r) be the third derivative of z(r). Factor n(x).
-2*x**3*(x + 1)
Let s(z) = 2*z + z**2 + z + 2 + z**2. Let l be s(-2). Solve -12*a**4 - 2*a + 11*a**l + 0*a + 1 + 2*a**3 = 0 for a.
-1, 1
Let v(s) be the first derivative of 2/7*s**3 - 8/7*s - 3 + 0*s**2 - 1/14*s**4. Factor v(j).
-2*(j - 2)**2*(j + 1)/7
Let z be 1/2 - 3/(-2). Suppose 22 = o + 3*o + 2*l, l - 1 = 0. Suppose k**4 + 0*k**4 + k - 3*k**4 - 2*k**5 + z*k**2 + k**o = 0. What is k?
-1, 0, 1
Let x be 1/1 + (-4)/(-2). Let s be 56/55 - 2/(-11). Factor 0 + 0*u + 2/5*u**2 - 6/5*u**x - 2/5*u**5 + s*u**4.
-2*u**2*(u - 1)**3/5
Let f(o) be the second derivative of o**4/2 + 13*o**3/3 - 10*o**2 - 2*o - 18. Determine d so that f(d) = 0.
-5, 2/3
Let i(u) = -u**5 - 16*u**4 - 44*u**3 - 48*u**2 - 29*u - 8. Let g(c) = c**5 + c**4 - c**3 - c - 1. Let m(k) = 2*g(k) - i(k). Determine j, given that m(j) = 0.
-2, -1
Suppose 3*u - 4 = -q + 4*u, 7 = q + 2*u. Suppose q*k - g = 28, 0*g - g = 3. Let 0 - 6/5*a**3 + 14/5*a**4 - 4/5*a - 14/5*a**2 + 2*a**k = 0. What is a?
-1, -2/5, 0, 1
Let y = -74 + 74. Let 0*j**2 + y*j + 0*j**4 - 2/7*j**5 + 0 + 2/7*j**3 = 0. What is j?
-1, 0, 1
Suppose 2*s - 47 - 35 = -4*d, 5*d + 90 = 3*s. Determine i, given that i**4 - 2*i**3 + 35*i - s*i = 0.
0, 2
Let j(c) be the third derivative of -c**9/3024 + c**8/1680 - c**3/2 + 2*c**2. Let z(u) be the first derivative of j(u). Factor z(x).
-x**4*(x - 1)
Let b(t) be the second derivative of t**5/12 + t**4/4 + t**3/6 + 2*t**2 + 3*t. Let y(j) be the first derivative of b(j). What is n in y(n) = 0?
-1, -1/5
Let b be ((-6)/12)/(3*(-7)/84). Determine w so that 12/7*w + 18/7 + 2/7*w**b = 0.
-3
Let d be (12/(-8))/(2/(-4)). Let o(u) be the first derivative of 1 - 1/3*u**d + 0*u**2 + u. Factor o(i).
-(i - 1)*(i + 1)
Let q = 10 + -17/2. Let s(g) be the first derivative of -g + 3/4*g**4 + 5/3*g**3 + 1 - q*g**2 - 4/5*g**5. Factor s(o).
-(o - 1)**2*(o + 1)*(4*o + 1)
Let r(d) = d + 2*d**3 + 0*d - 3*d**3 + 2*d. Let p(m) = 5*m**3 - 16*m. Let b(s) = 2*p(s) + 11*r(s). Factor b(w).
-w*(w - 1)*(w + 1)
Factor -5/2*p**2 + 5/2*p**3 + 0 + 0*p + 5/2*p**4 - 5/2*p**5.
-5*p**2*(p - 1)**2*(p + 1)/2
Let x = -1116 - -1116. Solve 1/2*a**5 + 0*a**2 + 0*a + x*a**4 + 0 - 1/2*a**3 = 0 for a.
-1, 0, 1
Factor 5*r**3 + 0*r**4 - 2*r**3 - r**2 - r - 2*r**3 + r**4.
r*(r - 1)*(r + 1)**2
Let i(g) be the first derivative of -g**7/98 + 9*g**6/70 - 81*g**5/140 + 27*g**4/28 - 2*g + 5. Let v(l) be the first derivative of i(l). Factor v(a).
-3*a**2*(a - 3)**3/7
Let b(s) be the first derivative of 3/2*s**2 - 1/2*s**6 + 0*s + 2*s**3 + 0*s**4 - 6/5*s**5 + 3. Determine d so that b(d) = 0.
-1, 0, 1
Let r be (-2 + -2 + 1)/(3/(-2)). Find m, given that -2/7*m**4 - 6/7*m**r + 2/7*m + 6/7*m**3 + 0 = 0.
0, 1
Factor 1/6*r**4 + 0*r - 1/6*r**3 + 1/6*r**5 - 1/6*r**2 + 0.
r**2*(r - 1)*(r + 1)**2/6
Let r(p) be the second derivative of -25*p**4/102 + 40*p**3/17 - 144*p**2/17 - 6*p - 2. Factor r(l).
-2*(5*l - 12)**2/17
Let m = 138 + -132. Let b(j) be the first derivative of 1/3*j**3 + 0*j + 1/4*j**2 + 0*j**4 - 1/5*j**5 - 1/12*j**m + 1. Solve b(z) = 0.
-1, 0, 1
Let v(l) be the second derivative of -l**5/15 - l**4/18 + 2*l**3/9 + l**2/3 + 8*l. Factor v(w).
-2*(w - 1)*(w + 1)*(2*w + 1)/3
Let s(n) = -n**4 + n**3 + n**2. Let i(f) be the second derivative of 7*f**6/15 - 4*f**5/5 - 5*f**4/6 - 2*f. Let j(v) = i(v) + 12*s(v). Factor j(q).
2*q**2*(q - 1)**2
Suppose 4*k - 5*y + 181 = -1136, k + 327 = -y. Let g be k/(-160) - (-1)/5. Determine q, given that 4*q**4 - g*q**5 - 1/2*q**2 - 5/4*q**3 + 0 + 0*q = 0.
-2/9, 0, 1
Let u(p) be the second derivative of p**7/21 + 4*p**6/15 + p**5/10 - 7*p**4/3 - 20*p**3/3 - 8*p**2 - 5*p. Let u(b) = 0. Calculate b.
-2, -1, 2
Let w = -169 - -2029/12. Let r(q) be the second derivative of 0 + 1/8*q**5 - 1/4*q**2 + 1/30*q**6 + 1/8*q**4 - w*q**3 - q. Determine f, given that r(f) = 0.
-1, 1/2
Let n(c) be the second derivative of 0 - c + 1/2*c**2. Let a(f) = f**3 + 4*f**2 + 5*f + 4. Let p(k) = a(k) - 2*n(k). Let p(b) = 0. What is b?
-2, -1
Let o(m) = m**3 + 2*m**2 - 3*m. Let u be o(3). Suppose 0 = 4*t - 16 - 0. Factor 84*y**3 - u*y**2 + 98*y**3 + 49*y**5 - 176*y**4 + 50*y**4 + t*y - 73*y**3.
y*(y - 1)**2*(7*y - 2)**2
Let j = 54 - 54. Determine c so that 1/3*c**2 + j*c + 0*c**3 - 1/3*c**4 + 0 = 0.
-1, 0, 1
Suppose -4*p + 3*p + 2 = 0. Let q be (-11 + 20)*p/9. Suppose 1/5*d**3 + 9/5*d**q + 27/5 + 27/5*d = 0. Calculate d.
-3
Let m be 3/(-9) - 51/(-45). Factor m*k**2 + 0 + 2/5*k.
2*k*(2*k + 1)/5
Let l(t) = -2*t**2 + t + 5. Let a(w) = 3*w**2 - w - 7. Let q(h) = 5*a(h) + 7*l(h). Find b, given that q(b) = 0.
-2, 0
Let w = 446 - 1769/4. Determine u, given that w*u**4 - 9/4*u**3 - 21/4*u**2 + 3/2 + 9/4*u = 0.
-1, -2/5, 1
Let o(m) = m**2 - 3*m - 4. Let q be o(4). Let f = -131 - -131. Factor 0*t**2 + q*t**4 + 3/5*t**5 + 0*t**3 + 0*t + f.
3*t**5/5
Let t(v) be the second derivative of -1/30*v**6 + 1/6*v**4 - 2*v + 0 + 0*v**3 + 0*v**5 - 1/2*v**2. Suppose t(q) = 0. What is q?
-1, 1
Let m = -9 - -11. Factor m - 5*a - 2 - a**3 + 6*a.
-a*(a - 1)*(a + 1)
Let s(i) be the third derivative of 2*i**2 + 0 + i**3 + 1/30*i**5 + 1/3*i**4 + 0*i. Let s(q) = 0. Calculate q.
-3, -1
Let g = -580/3 - -194. What is a in -1/3*a**4 + g*a**2 + 1/3*a**3 + 0*a + 0 = 0?
-1, 0, 2
Let w(a) be the third derivative of -1/2*a**3 + 5*a**2 + 0*a**6 + 0*a + 0 + 0*a**4 - 1/70*a**7 + 1/10*a**5. Factor w(f).
-3*(f - 1)**2*(f + 1)**2
Let x = 6 + -5. Let p(i) = -i**3 - i**2 - i + 1. Let w(j) = 12*j**3 + 24*j**2 + 19*j + 1. Let d(g) = x*w(g) + 3*p(g). Factor d(u).
(u + 1)*(3*u + 2)**2
Let p be ((-2)/(-6) - 1)*-3. Determine y, given that -2*y + p*y**2 + 4*y - y + y = 0.
-1, 0
Solve -4/13 + 8/13*h**4 - 8/13*h**3 - 2/13*h**5 - 4/13*h**2 + 10/13*h = 0.
-1, 1, 2
Let b(h) = h**3 - 3*h**5 + 9 + h**4 - 7*h + 21*h**2 - 11*h - h. Let n(x) = -x**5 + x**4 + x**3 + x**2 - x + 1. Let r(a) = b(a) - 5*n(a). Factor r(f).
2*(f - 1)**4*(f + 2)
Let i(c) = -10*c**4 + 20*c**3 + 10*c**2 - 4*c - 16. Let g(f) = 2*f**4 - 4*f**3 - 2*f**2 + f + 3. Let t(y) = 16*g(y) + 3*i(y). Factor t(v).
2*v*(v - 2)*(v - 1)*(v + 1)
Let c(d) be the first derivative of 5*d**4/4 - 20*d**3/3 - 55*d**2/2 - 30*d + 4. Factor c(k).
5*(k - 6)*(k + 1)**2
Let j(c) be the first derivative of 0*c - 2/15*c**5 + 1/18*c**6 + 0*c**3 + 0*c**2 - 1/4*c**4 - 7. Factor j(b).
b**3*(b - 3)*(b + 1)/3
Suppose 5 = 5*v - 10. Determine r so that -1 + 33*r - 12*r**4 + 7 - 3*r**v + 56*r**2 - 20*r**2 = 0.
-1, -1/4, 2
Let t = 2 - -1. Solve 3 - 2*v**2 + 3*v**2 - 3 + v**t = 0.
-1, 0
Let r(u) = 9*u**3 + u**2 - 6*u. Let o(k) = -k**3 - k**2 + k. Let v(m) = 4*o(m) + r(m). Factor v(d).
d*(d - 1)*(5*d + 2)
Let u(a) = -a + 10. Suppose -5*o + 22 + 13 = 0. Let v be u(o). Solve -14*s**5 - 10*s**4 + 28*s**2 - 14*s**4 + 6*s - 4 + 8*s**v + 0 = 0.
-1, 2/7, 1
Factor 3/2*q**4 + 0 + 21*q**3 + 147/2*q**2 + 0*q.
3*q**2*(q + 7)**2/2
Let b(g) = -g**2. Let t(h) = 2*h**2 + 4*h - 3. Let m(i) = -3*b(i) - t(