d r such that 0 + 0*r + h*r**2 = 0.
0
Let j(s) be the third derivative of s**5/32 - 9*s**4/32 + 9*s**3/16 + 11*s**2. Factor j(l).
3*(l - 3)*(5*l - 3)/8
Let m(y) be the third derivative of -y**6/60 + y**5/6 - 2*y**4/3 + 4*y**3/3 - 7*y**2. Factor m(o).
-2*(o - 2)**2*(o - 1)
Let v(d) be the first derivative of -d**6/18 + d**5/15 + d**4/6 + 7. Let v(q) = 0. Calculate q.
-1, 0, 2
Suppose -5 = -3*r + 4. Let k be (9/r - 4) + 1. Determine q, given that 0*q + 4/7*q**4 + 0 + 2/7*q**3 + k*q**2 + 2/7*q**5 = 0.
-1, 0
Factor -20*w**2 - 30*w + 5/2*w**3 + 0 + 5/2*w**4.
5*w*(w - 3)*(w + 2)**2/2
Factor -1/6*r - 1/6*r**2 + 0.
-r*(r + 1)/6
Factor -2/3*s**2 - 2*s - 4/3.
-2*(s + 1)*(s + 2)/3
Let r(g) be the second derivative of -g**8/2520 + g**7/840 - g**5/360 + g**3/6 - 2*g. Let t(f) be the second derivative of r(f). Find n such that t(n) = 0.
-1/2, 0, 1
Let o(d) be the third derivative of -d**5/180 + d**3/18 + 6*d**2. Let o(x) = 0. Calculate x.
-1, 1
Let y be 63/(-170) - (-4)/10. Let l = y - -15/68. Suppose 0 + 0*h**2 + 1/4*h + 0*h**4 - 1/2*h**3 + l*h**5 = 0. What is h?
-1, 0, 1
Suppose -2 = -3*k + 5*y, 0 = -0*k - 5*k - 3*y + 60. Determine j so that 15*j + 0 - k*j**2 - 5 - 1 = 0.
2/3, 1
Let f(c) = -9*c**3 + 13*c**2 + 25*c - 24. Let o(w) = -4*w**3 + 6*w**2 + 12*w - 12. Let r(v) = 2*f(v) - 5*o(v). Factor r(y).
2*(y - 3)*(y - 1)*(y + 2)
Let o(r) = -r**2 + 14*r - 44. Let n be o(9). Factor 9/4*m**2 - 3*m - n + 7/4*m**3.
(m - 1)*(m + 2)*(7*m + 2)/4
Factor 0 - 2/7*t**2 + 2/7*t.
-2*t*(t - 1)/7
Suppose 0*o = -3*d + 3*o + 108, 0 = -4*d - 2*o + 120. Let q be 6/(-4)*d/(-24). Suppose 2/9*p + 4/9*p**q + 0 + 2/9*p**3 = 0. What is p?
-1, 0
Let y be ((-4)/2)/1*-2. Let v(n) = -n**2 + 12*n + 1. Let i be v(12). Solve y*u + u + 7*u**5 + 1 - 14*u**3 + i + 2*u + 2*u**4 - 4*u**2 = 0 for u.
-1, -2/7, 1
Let z(q) be the first derivative of q**6/18 - q**5/15 - q**4/6 + 2*q**3/9 + q**2/6 - q/3 - 1. Factor z(h).
(h - 1)**3*(h + 1)**2/3
Suppose 3*p + 4*a = -0*p - 14, -2*a = 10. Suppose 2 = -s + 4. Solve -2*v**2 - 4*v - 2*v**s - 4*v**2 + p*v**2 - 2*v**3 = 0.
-2, -1, 0
Let h(x) = -4*x**3 + 22*x**2 - 4*x. Let m(i) = 3*i**3 - 23*i**2 + 4*i. Let u(p) = 5*h(p) + 4*m(p). What is n in u(n) = 0?
0, 1/4, 2
Factor 0*v**2 + 1/4*v - 1/4*v**3 + 0.
-v*(v - 1)*(v + 1)/4
Let q(m) be the first derivative of -m**4/48 + m**3/24 - m - 1. Let r(c) be the first derivative of q(c). Factor r(x).
-x*(x - 1)/4
Let y(j) = j. Let p be y(4). Let t(g) = -3*g**3 - 4*g**2 + 3*g + 4. Let f(h) = -h**3 - h**2 + h + 1. Let u(x) = p*t(x) - 14*f(x). Factor u(z).
2*(z - 1)**2*(z + 1)
Let i be (-2)/4 - (-75)/126. Let j(o) be the second derivative of 0 + 1/42*o**4 + 2*o + 1/7*o**2 + i*o**3. Factor j(y).
2*(y + 1)**2/7
Factor -20 + 0*v**2 - 3*v**2 - 5*v**2 + 20*v + 3*v**2.
-5*(v - 2)**2
Let s = -538/21 + 198/7. Solve -2/3 - d**3 + s*d**2 - d = 0.
-1/3, 1, 2
Suppose -6*s = -3*q - 9*s + 6, 5*q - 4 = -2*s. Let 3/4*k + 0*k**3 - 3/4*k**5 + 3/2*k**2 - 3/2*k**4 + q = 0. Calculate k.
-1, 0, 1
Factor 2*v**3 - v**5 - v - 17 + 17.
-v*(v - 1)**2*(v + 1)**2
Let w(h) = 2*h**2 + 3*h - 9. Let v(o) be the third derivative of 0 - 4/3*o**3 - o**2 + 1/12*o**4 + 1/30*o**5 + 0*o. Let c(j) = -5*v(j) + 4*w(j). Factor c(a).
-2*(a - 2)*(a + 1)
Let z(q) be the third derivative of -1/735*q**7 + 0*q - 4*q**2 + 0 + 1/84*q**4 + 1/210*q**5 - 1/420*q**6 + 0*q**3. Let z(f) = 0. What is f?
-1, 0, 1
Let v be (32/(-12) + 2)/(7/(-3)). Find z such that 0*z - 2/7*z**4 + 0 + 4/7*z**2 - v*z**3 = 0.
-2, 0, 1
Let w(d) be the first derivative of -d**4/2 + 4*d**3/15 + 4*d**2 - 16*d/5 - 21. What is x in w(x) = 0?
-2, 2/5, 2
Let w(f) = 2*f**2 - f - 1. Let z be w(-1). Suppose -4*y - 15 = v + z, -v + 4*y + 23 = 0. Factor -3*r - r**2 - 2 + 5 - 2 + 3*r**v.
(r - 1)*(r + 1)*(3*r - 1)
Let s be 1*(-16 + -1 + -1). Let d(k) = -8*k**2 + 4*k - 5. Let g(l) = l**2 + 1. Let r(p) = s*g(p) - 2*d(p). Factor r(q).
-2*(q + 2)**2
Let w(x) = -2*x**5 - 4*x**4 + 4*x**3 - 4*x**2 + 4. Let m(i) = -3*i**5 - 4*i**4 + 5*i**3 - 5*i**2 + 5. Let u(d) = 4*m(d) - 5*w(d). Solve u(s) = 0.
0, 2
Suppose 3*f - 14 = -2. Find q, given that -59*q + 4*q**f - 4*q**2 + 59*q = 0.
-1, 0, 1
Let r(y) be the first derivative of 2*y**3/33 + 10*y**2/11 - 30. Factor r(t).
2*t*(t + 10)/11
Factor 0 - 2/9*b**4 + 2/9*b**2 + 2/9*b**3 - 2/9*b.
-2*b*(b - 1)**2*(b + 1)/9
Let y(j) be the second derivative of 1331*j**5/4 - 605*j**4/2 + 110*j**3 - 20*j**2 - 29*j. Suppose y(i) = 0. What is i?
2/11
Solve 6/13 + 2/13*g**2 - 8/13*g = 0 for g.
1, 3
Let l(f) = -f**3 + 24*f**2. Let v be l(24). Suppose v + 1/4*x**3 + 1/4*x**2 - 1/2*x = 0. What is x?
-2, 0, 1
Let c(i) be the first derivative of -i**5/25 + i**4/10 - i**3/15 - 7. Suppose c(v) = 0. What is v?
0, 1
Let m(j) be the third derivative of j**6/240 + j**5/30 + j**4/16 + 2*j**2. Suppose m(i) = 0. Calculate i.
-3, -1, 0
Suppose 0 = 5*d - 3*m - 40, 2*d - 3*d - 20 = 5*m. Solve -4*l + d - 3 + 2 + l**2 + 0 = 0 for l.
2
Let t(u) be the second derivative of -u**6/60 - 3*u**5/8 - 25*u**4/8 - 125*u**3/12 + 12*u. Factor t(k).
-k*(k + 5)**3/2
Let x(k) = 2*k**2 + k. Let v = -8 + 9. Let w be x(v). Find s such that -s + 1 + 1 + 2*s**2 - w*s = 0.
1
Factor -12*m + 3/2*m**2 + 24.
3*(m - 4)**2/2
Let y = 7 - 7. Let s(j) be the second derivative of 0 + 0*j**3 + y*j**2 + 2*j + 1/48*j**4. Factor s(g).
g**2/4
Let o be -1*(1*-4 - -1). Let c = 26 + -23. Factor 3*r**3 - o*r**5 - 2*r**c + 2*r**5.
-r**3*(r - 1)*(r + 1)
Suppose 2*j = 3*j - 3. Let s be 12/(-6) + 1 + j. Factor -8/3 - 30*m**s + 16*m + 50/3*m**3.
2*(m - 1)*(5*m - 2)**2/3
Let m(g) be the first derivative of 3*g**5/20 - 7*g**4/16 - g**3/2 + 3*g**2/2 + 2*g - 11. Factor m(a).
(a - 2)**2*(a + 1)*(3*a + 2)/4
Let a(v) be the second derivative of -v**6/30 + v**5/10 + v**4/3 - 4*v**3/3 + 5*v. Solve a(m) = 0 for m.
-2, 0, 2
Let p be (-4)/(-5)*15/6. Factor -3*l - 2*l**p + 9*l - 2 + 4*l**2 - 4*l**3 - 2*l.
-2*(l - 1)*(l + 1)*(2*l - 1)
Let x(y) = -y**4 - 3*y**2 + 5*y + 9. Let o(f) = 2*f**2 - 2*f - 4. Let s(t) = -t**2 + 11*t - 12. Let g be s(10). Let d(k) = g*x(k) - 5*o(k). Solve d(i) = 0.
-1, 1
Factor 28/3 - 8*x - 4/3*x**2.
-4*(x - 1)*(x + 7)/3
Let r(h) = 4*h**3 - 40*h**2 + 36*h. Let f(g) = g**3 - 8*g**2 + 7*g. Let n(v) = 16*f(v) - 3*r(v). Find q such that n(q) = 0.
0, 1
Let l(o) be the second derivative of o**5/80 - o**4/12 + 5*o**3/24 - o**2/4 + 10*o. Find c, given that l(c) = 0.
1, 2
Let b = -5 + 8. Let k = 2 + b. Let 4*q + 0*q - q**2 - k + 1 = 0. Calculate q.
2
Let o(s) = s**3 + 4*s**2 - 6*s - 6. Let c be o(-4). Factor c*w**5 - 19*w**5 + 5 + w**3 - 5.
-w**3*(w - 1)*(w + 1)
Suppose 2*b + 9 = -3*x - 0*b, -2*x - 4*b = 6. Let h be (-5)/x + (-2)/(-6). Find n, given that -6*n**3 - 4*n**4 + 0*n**2 - 2*n**4 - 2*n**h - 2*n**5 = 0.
-1, 0
Let g(t) = -7*t**2 - 2*t. Let l(j) = 20*j**2 + 7*j. Let n(r) = 11*g(r) + 4*l(r). Find i such that n(i) = 0.
-2, 0
Let g = -45799/7 + 6561. Factor 96/7*j**3 + 32/7 + g*j + 18/7*j**4 + 176/7*j**2.
2*(j + 2)**2*(3*j + 2)**2/7
Let n(r) be the second derivative of -r**9/12096 + r**8/3840 - r**7/5040 - r**4/4 + 2*r. Let q(o) be the third derivative of n(o). Factor q(s).
-s**2*(s - 1)*(5*s - 2)/4
Let i(v) be the second derivative of -5*v**7/9 + 46*v**6/45 + 79*v**5/30 - 19*v**4/9 - 44*v**3/9 - 8*v**2/3 - 11*v. Determine n, given that i(n) = 0.
-1, -2/5, -2/7, 1, 2
Let h be 5 + (2 - 5) + 0. Suppose -3*t + 10 + 2 = -4*v, 5*t - h*v - 20 = 0. Factor -n + 7/2*n**t + n**3 + 0 - 7/2*n**2.
n*(n - 1)*(n + 1)*(7*n + 2)/2
Suppose -6*x = 8 - 32. Find k such that 0 + 26/9*k**3 + 2/9*k**5 + 8/9*k + 4/3*k**x + 8/3*k**2 = 0.
-2, -1, 0
Let p = -9 + 10. Let h(w) be the first derivative of 1/3*w**3 + 1/2*w**2 - p + 0*w. Let h(v) = 0. What is v?
-1, 0
Solve 0*q**2 + 3/7*q + 0 - 3/7*q**3 = 0 for q.
-1, 0, 1
Let t = 6 - 6. Factor 6*j**2 + 4*j**3 - 11*j**3 + t - 2 + j + 2*j**4.
(j - 2)*(j - 1)**2*(2*j + 1)
Let m(p) be the third derivative of 0*p + 0*p**6 + 1/350*p**7 + 8*p**2 - 1/20*p**4 - 3/100*p**5 + 0 + 0*p**3. What is x in m(x) = 0?
-1, 0, 2
Let z(w) be the second derivative of -3*w**5/20 + 9*w**4/4 - 15*w**3/2 + 21*w**2/2 + 60*w. Find q such that z(q) = 0.
1, 7
Solve 8/3*y**2 - 14/3*y**3 + 0 + 4/3*y**4 + 0*y + 2/3*y**5 = 0 for y.
-4, 0, 1
Let b be ((-1)/21)/((-17)/102). Find y, given that b*y**3 - 4/7*y**2 + 0 + 2/7*y = 0.
0, 1
Let l(b) be the second derivative of b**6/1