t u(j) = 0.
-1, 5
Let c(l) be the third derivative of 1/525*l**7 + 1/300*l**6 - 1/150*l**5 + 0*l**3 - 1/60*l**4 - l**2 + 0*l + 0. Find z, given that c(z) = 0.
-1, 0, 1
Let j(r) be the first derivative of -1/48*r**4 - 2*r + 1/6*r**3 + 2 - 1/2*r**2. Let p(h) be the first derivative of j(h). Factor p(f).
-(f - 2)**2/4
Let f(o) be the third derivative of o**5/120 + o**4/24 + o**3/12 + 6*o**2. Suppose f(k) = 0. Calculate k.
-1
Let z(q) = -3*q**2 - q + 2. Suppose -3*l + 3 = 12. Let x(f) = -2*f**2 - f + 1. Let r(t) = l*z(t) + 5*x(t). Solve r(c) = 0 for c.
-1
Let c = 483 + -481. Suppose 6/11*f - 4/11 - 2/11*f**c = 0. Calculate f.
1, 2
Let m be ((-12)/(-42))/(2/28). Let w(k) be the second derivative of 2*k + 1/5*k**2 + 0 + 1/15*k**3 - 1/15*k**m. Factor w(z).
-2*(z - 1)*(2*z + 1)/5
Let c(f) = f**2 + 3*f + 2. Let i be c(-3). Let p be (-1)/(i*(-1)/4). Factor k**2 - 8*k**3 + k**p + k**3.
-k**2*(7*k - 2)
Suppose -6 = -2*i - 2. Let h(u) be the second derivative of -3*u + 0 + 0*u**i + 1/24*u**4 - 1/12*u**3. Factor h(n).
n*(n - 1)/2
Suppose 0 = -4*s + 3*b - 2, 7 = -5*s - 3*b + 18. Let w be -4 - (s/(-3) + -4). Factor 0*g**3 + 0 + 0*g + 0*g**4 + 0*g**2 - w*g**5.
-g**5/3
Suppose 3*z + 24 = 5*w, 16 = 2*w - z + 6. Let t = w - 11/2. Factor 3/2*c + t - 1/2*c**2 - 3/2*c**3.
-(c - 1)*(c + 1)*(3*c + 1)/2
Let 1/2*f**5 - 1/2*f + 0 + f**2 - f**4 + 0*f**3 = 0. What is f?
-1, 0, 1
Let b be 2 - (0/(-5) + 2). Find x, given that b + 0*x - 2/7*x**3 + 0*x**2 = 0.
0
Let d(t) be the first derivative of -4*t**5/5 + 7*t**4 - 16*t**3 + 56. Factor d(a).
-4*a**2*(a - 4)*(a - 3)
Let q(i) be the third derivative of i**7/210 + i**6/120 - i**5/120 - i**3/6 - 2*i**2. Let k(g) be the first derivative of q(g). Suppose k(o) = 0. Calculate o.
-1, 0, 1/4
Let u = -169 - -172. Find w, given that 0 + 13/2*w**3 + 1/2*w**5 + 2*w - u*w**4 - 6*w**2 = 0.
0, 1, 2
Let v = -863399/600 + 1439. Let l(p) be the third derivative of 0*p**3 - 1/120*p**4 + 0 + 0*p**5 - p**2 + v*p**6 + 0*p. Factor l(x).
x*(x - 1)*(x + 1)/5
Let t(x) be the first derivative of -x**4/32 + x**3/12 - x**2/16 - 3. Factor t(k).
-k*(k - 1)**2/8
Let u(q) = -9*q**2 + 11*q - 2. Let s(z) = -5*z**2 + 6*z - 1. Let i(h) = -11*s(h) + 6*u(h). Factor i(m).
(m - 1)*(m + 1)
Let r(w) be the third derivative of w**8/4200 - w**7/2100 - w**6/900 + w**5/300 + w**3/2 - w**2. Let y(f) be the first derivative of r(f). Factor y(j).
2*j*(j - 1)**2*(j + 1)/5
Let w(b) be the third derivative of -b**7/490 + b**5/140 - 55*b**2. Factor w(l).
-3*l**2*(l - 1)*(l + 1)/7
Let w(n) = n + 11. Let z be w(-9). Find i, given that -3*i**3 - i**2 + 0*i**4 - i**z - i**2 - i - i**4 = 0.
-1, 0
Let h(m) be the first derivative of m**5/5 + 3*m**4/4 + 3*m**3/4 + m**2/4 + 2. Find v such that h(v) = 0.
-2, -1/2, 0
Let k(h) be the third derivative of h**10/37800 - h**9/4320 + h**8/1440 - h**7/1260 + h**5/12 + 5*h**2. Let w(m) be the third derivative of k(m). Factor w(l).
2*l*(l - 2)*(l - 1)*(2*l - 1)
Let c be -5 + (-204)/(-27) + (-5)/(-1). Determine w, given that 0 + 8/9*w - 2/9*w**3 - 32/9*w**2 - 14/3*w**5 + c*w**4 = 0.
-2/3, 0, 2/7, 1
Let n(s) be the first derivative of -s**5/90 + s**4/18 - s**3/9 - 3*s**2 + 7. Let o(i) be the second derivative of n(i). Factor o(r).
-2*(r - 1)**2/3
Let f(g) be the third derivative of g**6/30 + g**5/15 - 4*g**4/3 - 8*g**3 + 38*g**2. Suppose f(r) = 0. Calculate r.
-2, 3
Let j(f) be the first derivative of f**6/2 + 9*f**5/5 - 9*f**4/2 - 10*f**3 + 63*f**2/2 - 27*f + 21. Suppose j(g) = 0. Calculate g.
-3, 1
Let i(m) be the third derivative of m**7/315 + m**6/180 - m**5/90 - m**4/36 - 3*m**2. Factor i(t).
2*t*(t - 1)*(t + 1)**2/3
Let u(c) be the third derivative of 0*c - 1/100*c**5 + 3*c**2 - 9/10*c**3 - 3/20*c**4 + 0. Determine r, given that u(r) = 0.
-3
Suppose -3 = -2*u + 1. Suppose -u*i + 3 = -i. Solve -m**4 + i*m**3 - m**3 + 1 + m - 3*m = 0.
-1, 1
Factor 6/5*q**2 + 4/5*q + 0*q**3 - 2/5*q**4 + 0.
-2*q*(q - 2)*(q + 1)**2/5
Suppose g + 9 = 3*g - n, g - 2*n = 6. Determine d, given that -d**2 + 0*d + d + g*d**3 + d**4 - 5*d**3 = 0.
-1, 0, 1
Let w = -6 - -8. Solve -7*c - 5*c**w + 8*c**2 + c = 0.
0, 2
Let z(k) be the first derivative of 1/2*k**3 + 1/4*k**4 - 3*k**2 - 2*k - 1. Let l(m) be the first derivative of z(m). Factor l(w).
3*(w - 1)*(w + 2)
Let c(b) = b**3 - 2*b**2 + 4*b - 4. Let n be c(2). Factor -2*r**2 - 3*r - n*r**3 - 3*r**3 - r**2 + 10*r**3 + 3.
3*(r - 1)**2*(r + 1)
Suppose -5*d - 41 = -11. Let f(p) = 3*p**2 + 4*p - 5. Let a(n) = -3*n**2 - 5*n + 6. Let r(s) = d*f(s) - 5*a(s). Factor r(w).
-w*(3*w - 1)
Let k(x) be the third derivative of -1/240*x**6 + 1/48*x**4 + 1/840*x**7 + 0 + 0*x**5 - 1/24*x**3 + 0*x + x**2. Factor k(y).
(y - 1)**3*(y + 1)/4
Let d = -248 + 995/4. Factor -1/4 - 3/4*q**2 - d*q - 1/4*q**3.
-(q + 1)**3/4
Find q such that 15/7*q**5 - 3/7*q**3 + 36/7*q**4 + 0 - 12/7*q - 36/7*q**2 = 0.
-2, -1, -2/5, 0, 1
Let m(p) be the first derivative of p**5 + 15*p**4/2 + 15*p**3 + 15. Solve m(z) = 0 for z.
-3, 0
Let j be 14/4 - 3/6. Factor d**2 + 2*d**3 + 0*d**4 - j*d**3 + d - d**4.
-d*(d - 1)*(d + 1)**2
Let r(t) = -t - 1. Let p be -6 - (0 + 0 + -3). Let j be r(p). Factor 2/5 + j*q**3 + 22/5*q**2 + 14/5*q.
2*(q + 1)**2*(5*q + 1)/5
Let u(m) = m**2 - 5*m + 6. Let i(a) = a**3 - 2*a. Let j be i(2). Let v be u(j). Factor -4/3 - 4/3*d - 1/3*d**v.
-(d + 2)**2/3
Let w(d) be the second derivative of 1/90*d**5 - d + 0 + 1/18*d**4 + 0*d**3 - 1/2*d**2. Let z(t) be the first derivative of w(t). Factor z(n).
2*n*(n + 2)/3
Let q(s) be the third derivative of -s**6/120 + s**5/15 - s**4/12 - s**3/3 + 3*s**2. Let p be q(2). Factor a**p + 9*a - 5*a**3 + 0*a**2 + 3*a**4 - 8*a.
a*(a - 1)**2*(3*a + 1)
Let s(g) be the third derivative of g**6/360 - g**5/30 + g**4/6 + g**3/2 - g**2. Let d(f) be the first derivative of s(f). Determine p so that d(p) = 0.
2
Let u(z) = 5*z**4 + 33*z**3 + 36*z**2 + 16*z. Let l(a) = 9*a**4 + 66*a**3 + 72*a**2 + 33*a. Let t(s) = 4*l(s) - 9*u(s). Factor t(c).
-3*c*(c + 1)*(c + 2)*(3*c + 2)
Let y be ((-3)/(-2))/((-3)/(-4)). Suppose y + 0*v**2 - v**4 - 2 + v**2 = 0. What is v?
-1, 0, 1
Let t(v) = v - 1. Suppose g + 4*g - 20 = 0. Let z be t(g). Solve 0*y**5 - y**2 - y - 4*y**5 + 5*y**z - 2*y**2 + 3*y**4 = 0 for y.
-1, -1/4, 0, 1
Let j = 0 + 0. Let h(y) be the third derivative of -1/66*y**4 - 1/33*y**3 - y**2 + 1/1155*y**7 + 0*y**5 + j*y + 1/330*y**6 + 0. What is m in h(m) = 0?
-1, 1
Let c(x) be the third derivative of 0*x**3 + 0*x + 0 - 1/120*x**6 + 1/24*x**4 - x**2 + 0*x**5. Determine z so that c(z) = 0.
-1, 0, 1
Suppose 5*p - 17 = 3. Let q(h) be the second derivative of 0*h**2 - 7/120*h**6 + 1/16*h**5 + 0 + h + 1/24*h**p + 0*h**3. Solve q(n) = 0.
-2/7, 0, 1
Determine q so that -1/5*q**5 + 2/5*q**3 + 0 - 1/5*q**4 + 0*q + 0*q**2 = 0.
-2, 0, 1
Determine u, given that -8/3*u + 2/3*u**3 + 0 + 2*u**2 = 0.
-4, 0, 1
Let a = -5 + 9. Find j, given that 0*j**4 - 3*j**3 - 9*j**3 + a*j**4 = 0.
0, 3
Let u(x) = 9*x**3 - 2*x**2 - 4. Let i(f) = 10*f**3 - 3*f**2 - 5. Let y be (-10)/6*(-3)/(-1). Let q(l) = y*u(l) + 4*i(l). Solve q(k) = 0 for k.
-2/5, 0
Determine y, given that -2/13*y**5 + 0 + 16/13*y**4 + 20/13*y**3 - 18/13*y - 16/13*y**2 = 0.
-1, 0, 1, 9
Let n be ((-4)/328)/((-3)/72). Let k = n + -2/287. Factor 8/7*o - k*o**2 - 8/7.
-2*(o - 2)**2/7
Let v(x) = -3*x**4 - 2*x**3 - 3*x**2 - 2*x. Suppose 2*a - 3*a - 6 = 0. Let b(m) = -m**4 - m**2 - m. Let s(n) = a*b(n) + 3*v(n). Determine i so that s(i) = 0.
-1, 0
Let m(u) be the third derivative of -u**8/224 + u**7/28 - u**6/8 + u**5/4 - 5*u**4/16 + u**3/4 - 5*u**2. Factor m(i).
-3*(i - 1)**5/2
Let w = 26 - 6. Suppose 3*o - 8*o + w = 0. Find a, given that 0 + 1/2*a**o - 1/2*a**3 + 1/2*a - 1/2*a**2 = 0.
-1, 0, 1
Suppose 4*h - 5*h + 1 = 0. Let d be h/((-7)/(-30)) - 4. Determine k so that 4/7*k**3 - 4/7 + 8/7*k**2 - 2/7*k**5 - 4/7*k**4 - d*k = 0.
-2, -1, 1
Let q(z) = z**3 - 6*z**2 + 6*z - 2. Let v be q(5). Factor 5*s**3 + s**2 - 1 - 4*s - 4*s**v + 3*s.
(s - 1)*(s + 1)**2
Let i = -574/9 - -64. Find f, given that 4/9 + i*f**3 - 4/9*f**2 - 2/9*f = 0.
-1, 1, 2
Let k = 7 - 3. Suppose -4*n + 53 = -5*s, k*n - 7*s = -3*s + 48. Suppose 2*y**2 + 4*y + 7 - n = 0. What is y?
-2, 0
Let l(z) = z + 20. Let j be l(-12). Let c be j/28 - 19/(-7). Determine y so that 1/2*y + 0*y**2 - y**c + 1/2*y**5 + 0 + 0*y**4 = 0.
-1, 0, 1
Factor 