*k**4 + 0*k - 10/3*k**3 + 0.
-5*k**3*(k - 2)*(k - 1)/3
Let 8/11*r**3 - 6/11*r**2 - 2/11*r**4 - 8/11*r + 8/11 = 0. Calculate r.
-1, 1, 2
Solve -3/4*i**4 + 0 + 3/4*i**2 + 0*i + 0*i**3 = 0 for i.
-1, 0, 1
Let d = 725/3 - 237. Determine w, given that -4/3 - 2/3*w**4 + d*w + 10/3*w**3 - 6*w**2 = 0.
1, 2
Let s be (1/(-2))/((-2)/12). Suppose 0*d - 9 = -s*d. Factor -2*q**4 + 3*q**d - 2*q**3 + q**5 + 0*q**3.
q**3*(q - 1)**2
Solve 12 + 3/2*p**2 + 9*p = 0.
-4, -2
Let s(y) be the third derivative of -y**6/120 + y**5/30 + y**4/6 - 4*y**3/3 + 5*y**2. Factor s(d).
-(d - 2)**2*(d + 2)
Let b(j) be the second derivative of j**5/105 - j**4/7 + 6*j**3/7 - 4*j**2 - j. Let i(y) be the first derivative of b(y). Find w such that i(w) = 0.
3
Determine r so that 0 - 2/3*r**3 + 2/3*r**4 - 2/3*r**2 + 2/3*r**5 + 0*r = 0.
-1, 0, 1
Let l(g) be the first derivative of g**2/2 + 8*g - 2. Let i be l(-6). Factor -a**3 - 2*a**2 + 0*a + 3*a**i + 2*a.
-a*(a - 2)*(a + 1)
Let z be 1/4 - (-296)/(-416). Let t = z + 44/39. Factor 4/3*p - 2/3*p**2 - t.
-2*(p - 1)**2/3
Let b(r) = -r**2 + 7*r + 3. Let t be b(8). Let o(w) = w + 7. Let g be o(t). Suppose -s**2 - 2*s**4 + g*s**3 - 3*s**2 + 3*s**2 + s**3 = 0. Calculate s.
0, 1/2, 1
Let r(u) be the first derivative of -2/9*u**3 + 2/3*u - 1/6*u**4 + 2 + 1/3*u**2. Factor r(i).
-2*(i - 1)*(i + 1)**2/3
Let o be (-10)/(-15) - 8/30. Let s = 523/660 - -1/132. Factor -s + 2/5*n**2 - o*n.
2*(n - 2)*(n + 1)/5
Let j(g) be the first derivative of -g**5/5 - g**3/3 - g + 2. Let l(x) = -14*x**4 - 6*x**3 - 4*x**2 - 6. Let r(d) = -6*j(d) + l(d). Solve r(k) = 0.
-1, 0, 1/4
Let s(w) = -w + 1. Let p be s(-5). Let o = p - 6. Factor o*h + 0 - 2/7*h**3 + 0*h**2.
-2*h**3/7
Let o(f) = 2*f**3 + 2*f**2 + 3*f. Let g(r) = r**3 + 2*r**2 + 2*r. Let c(x) = 3*g(x) - 2*o(x). Solve c(l) = 0.
0, 2
Let l(z) be the second derivative of z**7/21 - 2*z**6/15 - 3*z**5/10 + 4*z**4/3 - 4*z**3/3 - 15*z. Let l(x) = 0. Calculate x.
-2, 0, 1, 2
Let b = -7 + 10. Solve -m**5 - m + 0*m**3 + 2*m**b - 14*m**4 + 14*m**4 = 0.
-1, 0, 1
Suppose -6*v + 11*v = 20. Let z(t) be the first derivative of -1 + 1/12*t**v - 1/9*t**3 + 0*t + 0*t**2. Find o, given that z(o) = 0.
0, 1
Let r(o) = 6*o**2 - 75*o - 126. Let v(u) = u**2 - 11*u - 18. Let l(p) = -2*r(p) + 15*v(p). Factor l(x).
3*(x - 6)*(x + 1)
Let l(w) be the first derivative of w**7/420 - w**5/20 - w**4/6 - w**3 - 2. Let u(x) be the third derivative of l(x). Let u(h) = 0. Calculate h.
-1, 2
Let i(t) = -t**2 + 11*t - 15. Let r be i(9). Let m(f) be the third derivative of 0 + 1/6*f**4 + 0*f + 3*f**2 + 1/30*f**5 + 1/3*f**r. Factor m(o).
2*(o + 1)**2
Let t(p) = 7 - 17 + p**3 - 3*p - 4*p**2 + 4. Let d be t(5). Suppose -6*w + 9/2*w**3 - 3*w**d - 3/2*w**5 + 6*w**2 + 0 = 0. Calculate w.
-2, 0, 1
Let o(d) = 13*d**3 - 47*d**2 - 76*d - 16. Let c(n) = 27*n**3 - 93*n**2 - 152*n - 32. Let a(x) = 3*c(x) - 5*o(x). Suppose a(l) = 0. What is l?
-1, -1/4, 4
Let j(z) be the second derivative of 1/50*z**5 + 0*z**2 - z + 0 + 0*z**3 - 1/30*z**4. Determine s so that j(s) = 0.
0, 1
Let p(m) be the third derivative of -m**7/105 + m**6/30 + m**5/30 - m**4/6 + 18*m**2. Factor p(l).
-2*l*(l - 2)*(l - 1)*(l + 1)
Let i(a) be the second derivative of -a**8/4480 + a**7/2520 - a**4/4 + a. Let q(w) be the third derivative of i(w). Solve q(f) = 0.
0, 2/3
Let u(f) = 9*f + 29. Let k be u(-3). Factor 1/2*w**4 + 0*w**k + w - w**3 - 1/2.
(w - 1)**3*(w + 1)/2
Let i(s) be the third derivative of -s**8/2240 + 5*s**4/24 - 9*s**2. Let a(u) be the second derivative of i(u). Factor a(p).
-3*p**3
Let f(w) be the third derivative of -w**9/37800 + w**7/3150 - w**5/300 + w**4/24 + 3*w**2. Let k(b) be the second derivative of f(b). Factor k(a).
-2*(a - 1)**2*(a + 1)**2/5
Let l(n) be the second derivative of n**4/12 + 2*n**3/3 - 5*n**2/2 - 20*n. Let l(d) = 0. Calculate d.
-5, 1
Let z(q) be the first derivative of 1/8*q**4 + 1/3*q**3 + 0*q - 2 + 1/4*q**2. Suppose z(d) = 0. What is d?
-1, 0
Let d(t) be the second derivative of -t**5/35 + t**4/42 + 28*t. What is g in d(g) = 0?
0, 1/2
Let i(r) be the first derivative of 3 - 1/10*r**3 - 1/20*r**4 + 0*r**2 + 2*r. Let d(b) be the first derivative of i(b). Factor d(s).
-3*s*(s + 1)/5
Let l(d) be the third derivative of d**5/20 + d**4/4 - 3*d**3/2 + 11*d**2 + 2*d. Let l(h) = 0. Calculate h.
-3, 1
Let i(x) = 2*x**4 + 9*x**3 + 11*x**2 + 8*x + 2. Let z = 9 + -8. Let y(p) = p**3 - p**2. Let g(o) = z*y(o) - i(o). Factor g(f).
-2*(f + 1)**4
Let d(y) be the second derivative of y**5/220 + y**4/132 + 3*y. Let d(w) = 0. What is w?
-1, 0
Let w(a) be the third derivative of 0*a**3 - 1/140*a**6 + 0*a**5 + 1/84*a**4 + 0*a - a**2 + 0 + 2/735*a**7. Factor w(u).
2*u*(u - 1)**2*(2*u + 1)/7
Let b(r) = r**3 + 6*r**2. Let w be b(-6). Suppose w*q = -3*q + 12. Determine x so that -q + x**2 + 2 - 4*x + 3*x = 0.
-1, 2
Let k(s) be the third derivative of s**6/24 - s**5/4 + 5*s**4/12 + 5*s**2 - s. Let k(l) = 0. Calculate l.
0, 1, 2
Suppose -6 = -4*v + 3*z + 10, 5*z + 12 = 3*v. Suppose 0*l = 4*l + 4*l. Factor 0*m**3 - 1/3*m + l + 2/3*m**v + 1/3*m**5 - 2/3*m**2.
m*(m - 1)*(m + 1)**3/3
Let 7/3*i - 5/3*i**2 - 1 + 1/3*i**3 = 0. Calculate i.
1, 3
Let p = 1/73 + 135/803. Factor 0 + p*d**2 + 4/11*d.
2*d*(d + 2)/11
Let w be (-8)/(80/(-6)) + 2/(-8). Let j(h) be the third derivative of w*h**5 + 0*h + 5/8*h**4 - h**3 + 0 + 3*h**2. Let j(b) = 0. Calculate b.
-1, 2/7
Let j(d) = -d**3 + 4*d**2 + 6*d - 3. Let t be j(5). Find g such that g - 10*g**2 - 7*g + t + 6*g**3 + 0 + 10*g**4 - 2*g**4 = 0.
-1, 1/4, 1
Factor 4/3*t + 4/9*t**2 + 8/9.
4*(t + 1)*(t + 2)/9
Let b be (-3 - -4)*(6 + 0 + -3). Solve 1/2*m**b + 1/2*m - m**2 + 0 = 0 for m.
0, 1
Let w(l) be the first derivative of l**3/3 - l**2 - 3*l - 22. Suppose w(r) = 0. What is r?
-1, 3
Suppose l = k + 4*l, 5 = -5*l. Suppose -3*c + 4*t + k = 2*c, -4*t = -4*c. What is b in 0 + c*b**3 + 0 - 3*b + 1 + b**2 + b**4 - 3 = 0?
-2, -1, 1
Let a = -485/6 + 81. Let d(z) be the second derivative of 0 + z + 0*z**2 - 1/3*z**3 - a*z**4. Factor d(b).
-2*b*(b + 1)
Suppose -5*l = 5*n - 25, -5*n + 0*l + 3*l = 7. Suppose -n = -2*u + x, -5 = 2*u + 2*x + 3*x. Determine j, given that -1 + u + 14*j**2 + 5 - 18*j = 0.
2/7, 1
Let f(q) be the first derivative of q**5 + 15*q**4/4 - 10*q**3/3 - 30*q**2 - 40*q - 10. Factor f(k).
5*(k - 2)*(k + 1)*(k + 2)**2
Suppose 4*j - 2*j = 4. Suppose 0 = 6*l - j*l. Factor -1/3*n**2 + 0 + l*n.
-n**2/3
Suppose -5*n + 10 + 20 = 0. Find s such that -2*s**2 + 3*s**2 - 4*s**2 - 4*s**4 + n*s**3 + s**4 = 0.
0, 1
Let -1 + y**4 - 2794*y**2 - 2*y**3 + 2*y + 2794*y**2 = 0. What is y?
-1, 1
Let d = -43 - -45. Factor -u + 1/2*u**4 + 0*u**3 - 3/2*u**d + 0.
u*(u - 2)*(u + 1)**2/2
Let s(f) = -f + 6. Let l = 9 - 6. Let k be s(l). What is m in 0*m + 0 - 2/3*m**k + 2/3*m**2 = 0?
0, 1
Let k be 48/(-320)*(-16)/66. Let d(p) be the first derivative of k*p**5 + 3 + 0*p - 3/22*p**4 + 0*p**2 + 4/33*p**3. Factor d(r).
2*r**2*(r - 2)*(r - 1)/11
Let h(l) = 32*l**2 - 52*l + 4. Let i(q) = 11*q**2 - 17*q + 1. Let k(u) = 5*h(u) - 16*i(u). Factor k(p).
-4*(p - 1)*(4*p + 1)
Let k be ((-490)/24)/(-5) - 4. Let o(v) be the second derivative of -1/20*v**5 + 1/6*v**3 - 1/2*v**2 + 0 + k*v**4 + 3*v. Suppose o(p) = 0. What is p?
-1, 1
Let l be (-1100)/(-1232) + 2/(8/1). Determine a so that -12/7*a**2 + 26/7*a**3 + 2/7*a + l*a**5 - 24/7*a**4 + 0 = 0.
0, 1/2, 1
Let r(f) be the second derivative of 0*f**6 - 1/45*f**5 + 2*f + 0*f**2 + 1/27*f**3 + 0*f**4 + 1/189*f**7 + 0. Factor r(v).
2*v*(v - 1)**2*(v + 1)**2/9
Let g(n) be the first derivative of 2*n**3/3 - 2*n**2 + 3*n - 2. Let m be g(2). Factor -f - f + 2*f**3 - 2*f**2 + 0*f**3 - f**4 + m*f**4.
2*f*(f - 1)*(f + 1)**2
Let b be 8/(-30)*21/(-14). Suppose -1/5*i**2 + b - 1/5*i = 0. What is i?
-2, 1
Let q(r) be the first derivative of r**6/1080 + r**5/180 + 7*r**3/3 + 2. Let k(u) be the third derivative of q(u). Determine x so that k(x) = 0.
-2, 0
Let r(y) be the second derivative of -y**7/84 + 3*y**5/40 - y**4/12 - 5*y. Factor r(w).
-w**2*(w - 1)**2*(w + 2)/2
Let y be ((-1)/3)/(3/(-249)). Let p = 28 - y. Suppose 0*q**3 + 0 - p*q**4 + 0*q + 1/3*q**2 = 0. Calculate q.
-1, 0, 1
Let z(g) be the first derivative of g**3/3 - g**2/2 + 3*g - 3. Let l be z(0). Factor 1/3*d + 0 + 1/3*d**l - 2/3*d**2.
d*(d - 1)**2/3
Let t = 2/39 + 35/78. Let u(l) = -l + 5. 