ose u(r) = 0. Calculate r.
0, 5
Let c(p) be the first derivative of -2*p**5/75 + p**4/30 + 2*p**3/15 - p**2/3 + 4*p/15 + 11. Factor c(t).
-2*(t - 1)**3*(t + 2)/15
Let s(k) be the first derivative of -k**5/40 + k**3/4 + k**2/2 + 3*k + 1. Let p(q) be the first derivative of s(q). Factor p(x).
-(x - 2)*(x + 1)**2/2
Let r(q) be the third derivative of q**8/560 + q**7/70 + 9*q**6/200 + 7*q**5/100 + q**4/20 + 3*q**2. Let r(v) = 0. Calculate v.
-2, -1, 0
Let c(w) = 6*w**4 + 38*w**3 + 66*w**2 + 42*w + 8. Let m(g) = -3*g**4 - 19*g**3 - 33*g**2 - 21*g - 4. Let o(d) = 6*c(d) + 14*m(d). Let o(p) = 0. What is p?
-4, -1, -1/3
Let b(r) = 4*r**2 + 4*r. Let l(c) = -4*c**2 + 17*c**2 + 7*c**2 - 4*c**2 + 15*c. Let m(o) = -22*b(o) + 6*l(o). Determine y, given that m(y) = 0.
-1/4, 0
Let v = -69/5 + 281/20. Factor 1/2*y - v*y**2 - 1/4*y**3 + 0.
-y*(y - 1)*(y + 2)/4
Suppose 9 = -5*b + 4*b + 4*i, 2*i = b + 3. Determine u, given that -b*u**4 + 2*u**4 - u**2 + 2*u**4 - u**5 + u**3 = 0.
-1, 0, 1
Let h(v) be the third derivative of -3*v**2 + 4/75*v**5 + 1/525*v**7 + 0*v**3 + 1/15*v**4 + 1/60*v**6 + 0*v + 0. Let h(s) = 0. Calculate s.
-2, -1, 0
Suppose -3*q - a + 7 = q, 0 = q - 3*a - 18. Solve 0*z - 6/11*z**q + 0 + 54/11*z**4 - 4/11*z**2 + 56/11*z**5 = 0 for z.
-1, -1/4, 0, 2/7
Let i be 4/(-14) - 464/(-203). Let -1/6*f**3 + 0*f + 0*f**i - 1/6*f**4 + 0 = 0. What is f?
-1, 0
Let u(h) = h + 12. Let n = 11 - 20. Let w be u(n). Suppose s**w - 3*s + 5*s - 3*s = 0. Calculate s.
-1, 0, 1
Let f(w) be the first derivative of -1/6*w**3 + 1 + 0*w**2 + 0*w. Factor f(q).
-q**2/2
Let i(a) be the second derivative of -4*a + 0*a**2 + 1/45*a**5 - 1/135*a**6 + 0*a**4 + 0 + 0*a**3. Factor i(u).
-2*u**3*(u - 2)/9
Let h(m) = 5*m**5 + 13*m**4 + 4*m**3 + 5*m**2 + 9. Let s(t) = 2*t**5 + 6*t**4 + 2*t**3 + 2*t**2 + 4. Let b(o) = -4*h(o) + 9*s(o). Let b(r) = 0. What is r?
-1, 0, 1
Let n(y) be the third derivative of y**7/3780 - y**6/1620 - y**5/540 + y**4/108 + y**3/3 - 4*y**2. Let c(t) be the first derivative of n(t). Factor c(o).
2*(o - 1)**2*(o + 1)/9
Factor 75*f**4 - 77*f**4 - 2 + 2 + 2*f**2.
-2*f**2*(f - 1)*(f + 1)
Let i(t) = -2*t**3 - 4*t**2 - t. Let v be ((2 - 6)/(-4))/(-1). Let s(b) = 1 + b - 1. Let l(g) = v*i(g) + s(g). Suppose l(q) = 0. What is q?
-1, 0
Let g = 152015/33 - 4607. Let b = 2/11 - g. Factor -4/3*r**2 - b*r**3 - 2/3*r + 0.
-2*r*(r + 1)**2/3
Let z(x) = x**2 + x. Let b be (-4)/(-14) + (-88)/14. Let p(r) = 4*r**3 - 2*r**2 - 14*r. Let q(k) = b*z(k) - p(k). Factor q(v).
-4*v*(v - 1)*(v + 2)
Let h = 6 - 6. Suppose h = -3*g + 7*g. Factor -1/3*v**3 - 1/3*v**2 + g + 0*v.
-v**2*(v + 1)/3
Let m(t) be the second derivative of t**6/20 - 3*t**5/20 + 2*t. Solve m(u) = 0 for u.
0, 2
Let y be 2/(-3) - (-152)/12. Suppose -28 = -g - 3*g. Factor -2 - g*w**4 + 0 + y*w - w**4 - 26*w**2 + 24*w**3.
-2*(w - 1)**2*(2*w - 1)**2
Let t be (3/(-6))/((-3)/(-858)). Let g be 1/(-3) + t/(-231). Find p such that 0 + 4/7*p**3 + 0*p + g*p**2 + 2/7*p**4 = 0.
-1, 0
Suppose 27 = j + 7*y - 2*y, -6 = -2*y. Determine s so that -4 + 6*s**2 - j*s + 12*s + 1 - 3*s**4 = 0.
-1, 1
Let j be 3 + (-1 + 1 - 0). Find r, given that 3*r**2 - 50*r**4 + 8*r + 16*r**3 + 74*r**j - 51*r**2 = 0.
0, 2/5, 1
Let r(h) be the first derivative of 5*h**4 - 5*h**3/3 - 10*h**2 + 5*h + 27. Factor r(k).
5*(k - 1)*(k + 1)*(4*k - 1)
Let k = -5 - -8. Let g(w) be the third derivative of 1/210*w**5 + 1/28*w**4 + 0*w + 0 + 2/21*w**k + w**2. Factor g(y).
2*(y + 1)*(y + 2)/7
Let s be 3 - (3 - 3)*2/(-6). Factor k + 1/2*k**2 - 5/2*k**5 + 0 - 9/2*k**s - 13/2*k**4.
-k*(k + 1)**3*(5*k - 2)/2
What is i in -1/4*i**3 - 49*i - 7*i**2 + 0 = 0?
-14, 0
Let f(q) be the third derivative of q**5/30 + 5*q**4/6 + 25*q**3/3 - 25*q**2. Factor f(a).
2*(a + 5)**2
Factor 10*o**2 - o**3 - 9*o**2 - 1 + 0*o**3 + o.
-(o - 1)**2*(o + 1)
Let m(h) = -h**2 - 9*h - 15. Let c be m(-6). Let z(b) be the second derivative of 0 - b + 1/100*b**5 + 2/5*b**c - 4/5*b**2 - 1/10*b**4. Factor z(y).
(y - 2)**3/5
Let n(a) = -a**2. Let b be n(0). Let y = 194/21 + -26/3. Factor y*f**4 + 0*f**2 + 2/7*f**3 + 2/7*f**5 + b + 0*f.
2*f**3*(f + 1)**2/7
Suppose 0*o - 10 = -5*o. Factor 5*z**3 + 2*z**3 - 17*z + 0*z**2 - 5*z**o + 15*z.
z*(z - 1)*(7*z + 2)
Let u(m) be the second derivative of -m**4/54 + 4*m**2/9 - 9*m. Solve u(w) = 0.
-2, 2
Suppose 5*j - 4*j + 4*s - 15 = 0, 5*j = -s + 37. Suppose j*y - 3*y - 12 = 0. Determine d, given that -8/7 - 64/7*d - 14*d**y - 22*d**2 = 0.
-1, -2/7
Let m be 3 + 0 + -1 + 3. Suppose -25 = -m*d, -2*h - 4 = -0*d - 2*d. What is n in -1/4 + 3/4*n + 1/4*n**h - 3/4*n**2 = 0?
1
Factor 0*k**3 + 0 + 3/4*k - 3/4*k**5 + 3/2*k**2 - 3/2*k**4.
-3*k*(k - 1)*(k + 1)**3/4
Let z(j) = -j**3 + 3*j**2 + 17*j + 8. Let t be z(6). Suppose 0 + 0*u - 2/7*u**4 + 0*u**t + 4/7*u**3 = 0. Calculate u.
0, 2
Let a(r) = 7*r**2 + 3. Let n(w) = -4*w**2 - 2. Suppose -2*f - 17 = 3. Let x(c) = f*n(c) - 6*a(c). Solve x(m) = 0.
-1, 1
Let t(b) be the first derivative of -3*b**4/4 - 3*b**3 + 12*b - 3. Factor t(a).
-3*(a - 1)*(a + 2)**2
Suppose 2*m = -2*x + m + 11, 4*x - 10 = 2*m. Let y be (14 - 12) + x/(-6). Factor 2*c**2 + 0 - 2/3*c - y*c**3.
-2*c*(c - 1)*(2*c - 1)/3
Suppose -2*u - 24 - 2 = 0. Let o be (-1)/5 - u/15. Factor -1/3*i**4 - 1/3*i**2 - o*i**3 + 0 + 0*i.
-i**2*(i + 1)**2/3
Let s be (-4)/(-7) - (-12)/(-42). Factor 10/7*z**2 + 0 - 2/7*z**4 - 6/7*z - s*z**3.
-2*z*(z - 1)**2*(z + 3)/7
Let v be ((-6)/30)/(2/(-26)). Let -2/5 - v*n**3 + 17/5*n**2 - 3/5*n - 3/5*n**4 + 4/5*n**5 = 0. Calculate n.
-2, -1/4, 1
Let v(d) be the second derivative of d**7/3780 + d**6/3240 + d**4/3 - 6*d. Let i(s) be the third derivative of v(s). Determine x so that i(x) = 0.
-1/3, 0
Let n be 5/(10/6*(-18)/(-12)). Let l(x) be the first derivative of 2/5*x - 1/5*x**4 + 2 + 2/5*x**n + 0*x**3 - 2/25*x**5. Let l(y) = 0. Calculate y.
-1, 1
Let w(d) = 5*d**3 - 47*d**2 - 105*d + 139. Let x(p) = 3*p**3 - 31*p**2 - 70*p + 93. Let h(r) = 5*w(r) - 8*x(r). Solve h(g) = 0.
-7, 1
Let j = -4 + 4. Suppose l - 3*l + 8 = j. Find u, given that -4/5*u**3 + 2/5*u**l + 0*u + 2/5*u**2 + 0 = 0.
0, 1
Let o(p) = p + 6. Let m be o(-3). Determine q so that -m*q**3 - 2*q**2 - q**4 + 3*q + q**2 - q**4 + 2 + q**4 = 0.
-2, -1, 1
Let s be (0*(-3)/(-12))/(-4 + 2). What is o in -1/2*o**3 + s*o + 0*o**2 + 0 = 0?
0
Let s(z) be the first derivative of -20/9*z**3 - 3*z**6 - 6*z**4 - 1/3*z**2 - 36/5*z**5 - 3 + 0*z. Find u, given that s(u) = 0.
-1, -1/3, 0
Let x(n) = 2*n**3 + n**2 + 12*n - 15. Let v(z) = z**3 + z**2 + 6*z - 8. Let g(q) = -11*v(q) + 6*x(q). Let o be g(4). Factor -2*w**3 - w**3 - 4 + o*w + w**3.
-2*(w - 1)**2*(w + 2)
Suppose -2*n - 3*n + 4*a + 15 = 0, -3*n + 3*a + 9 = 0. Factor 0*t**4 + 0*t - 2/9*t**5 + 0 + 2/3*t**n - 4/9*t**2.
-2*t**2*(t - 1)**2*(t + 2)/9
What is h in 12*h**3 - 3*h**2 + 12*h**4 + 0*h**5 + 6*h**2 + 4*h**5 + h**2 = 0?
-1, 0
Determine p so that -2*p**3 - 2*p**5 - p**4 - 6*p**2 + 3*p**4 + 4*p**3 + 4*p**2 = 0.
-1, 0, 1
Let o(j) = j**4 + j**3 + j**2. Let z(q) = -6*q**4 - 3*q**3 - 15*q**2 - 9*q - 3. Let d(c) = 12*o(c) + z(c). Suppose d(h) = 0. Calculate h.
-1, -1/2, 1
Determine c, given that 2/3*c**5 + 8/3*c**2 - 10/3*c**4 - 16/3*c + 0 + 4*c**3 = 0.
-1, 0, 2
Let f(r) be the first derivative of 1/5*r**2 - 1/5*r**4 - 1 + 0*r + 1/15*r**6 + 0*r**3 + 0*r**5. Solve f(a) = 0 for a.
-1, 0, 1
Suppose 143*q = 150*q - 14. Factor 0 + 1/3*x**q + x.
x*(x + 3)/3
Let y(l) be the second derivative of -3*l**5/20 + 2*l**3 + 13*l. Suppose y(x) = 0. What is x?
-2, 0, 2
Let c be 28/45 + -2*(-6)/(-54). Factor 0*j**3 + 0*j**2 + 0 + 1/5*j**4 - c*j**5 + 0*j.
-j**4*(2*j - 1)/5
Let k be (4/2)/(3 - 7/3). Let n(b) be the second derivative of 5*b + 1/15*b**6 + 0*b**5 + 0*b**k - 1/6*b**4 + 0*b**2 + 0. Suppose n(s) = 0. Calculate s.
-1, 0, 1
Let z(m) be the first derivative of 2/3*m - 3 - 1/6*m**2 - 1/9*m**3. Factor z(s).
-(s - 1)*(s + 2)/3
Suppose 13 = 5*f - 4*m + 34, -7 = f + 2*m. Let w(j) = j**4 - 3*j**3 + 3*j + 9. Let r(i) = 2*i**4 - 8*i**3 + 8*i + 22. Let s(p) = f*r(p) + 12*w(p). Factor s(u).
2*(u - 1)*(u + 1)**3
Let s(k) = -3*k**3 - 2*k**2 - 5*k - 4. Let b = -3 - -9. Let c(t) = -7*t**3 - 3*t**2 - 10*t - 9. Let d(u) = b*c(u) - 15*s(u). Determine h, given that d(h) = 0.
-2, -1
Let k(m) = 2*m**2 + 2*m - 1. Let d be k(-2). Let 3*t + 6*t**2 - d*t**2 + 1 + t**3 + 0*t**2 = 0. Calculate t