1*t - 6/11*t**2 - g = 0.
1/3, 1
Factor 6/5 + 24/5*j + 18/5*j**2.
6*(j + 1)*(3*j + 1)/5
Factor -6/5*i + 2/5*i**2 + 4/5.
2*(i - 2)*(i - 1)/5
Let i(u) be the first derivative of u**6/3 + 4*u**5/5 - u**4 - 8*u**3/3 + u**2 + 4*u + 11. Find r such that i(r) = 0.
-2, -1, 1
Let x(q) = q + 9. Let o be x(-6). Let p be (-15)/18*(12/(-10))/2. Solve -3/2*c**2 + c - 2*c**o + 2*c**4 + p = 0 for c.
-1/2, 1
Determine w, given that -w**3 - 2*w + 2*w + 7*w + 1 + 5 = 0.
-2, -1, 3
Let c(a) be the second derivative of -a**6/1620 + a**4/108 - a**3/6 - a. Let k(g) be the second derivative of c(g). Factor k(t).
-2*(t - 1)*(t + 1)/9
Factor -6*n + 0 + 243/2*n**4 - 135/2*n**3 - 48*n**2.
3*n*(n - 1)*(9*n + 2)**2/2
Let r(w) be the second derivative of w**4/20 - 4*w. Factor r(a).
3*a**2/5
Factor -202*k**3 + 5070*k**2 + 14*k**4 + 142805 - 58*k**3 - 43940*k - 9*k**4.
5*(k - 13)**4
Let k(x) be the second derivative of -2*x**2 + 0 + 2/3*x**4 + 2/21*x**7 - 2*x - 2/15*x**6 - 2/5*x**5 + 2/3*x**3. Factor k(z).
4*(z - 1)**3*(z + 1)**2
Let u(y) be the first derivative of -y**5/30 + y**3/9 - y/6 + 5. Let u(p) = 0. What is p?
-1, 1
Factor 1/5*g**2 + 0 + 2/5*g.
g*(g + 2)/5
Let f(x) be the first derivative of -2*x**3/9 + 8*x**2/3 + 46. Factor f(k).
-2*k*(k - 8)/3
Let k = -12 + 26. Suppose p + p = k. Factor -3*b**2 - p - b + 4*b + 13.
-3*(b - 2)*(b + 1)
Let i(t) = -3*t - 1. Let b be i(-1). Let v(y) be the first derivative of 0*y + 1/3*y**6 + 2 + y**b - y**4 + 0*y**5 + 0*y**3. Suppose v(w) = 0. Calculate w.
-1, 0, 1
Let x = -11 + 3. Let o be ((-70)/x)/7 - 1. Factor 0*s - o + 1/4*s**2.
(s - 1)*(s + 1)/4
Suppose -x - 3*x + 23 = -3*n, -4*x + 2*n = -22. Suppose x = -4*f + 17. What is t in -t - f*t**2 - 1 - t + 2*t**2 = 0?
-1
Let o be -2 - -8*(-2 + 3). Let a(q) be the third derivative of -1/540*q**o + 0*q + 0*q**7 - q**2 + 0*q**5 + 0 + 0*q**3 + 0*q**4 + 1/1512*q**8. Factor a(y).
2*y**3*(y - 1)*(y + 1)/9
Let g(v) be the first derivative of v**6/2160 - v**5/720 - v**3/3 - 2. Let k(m) be the third derivative of g(m). Factor k(f).
f*(f - 1)/6
Let h(q) be the second derivative of -q**7/147 + q**6/21 - q**5/7 + 5*q**4/21 - 5*q**3/21 + q**2/7 - q. Factor h(a).
-2*(a - 1)**5/7
Let y(h) be the first derivative of 5*h**6/3 - 18*h**5/5 + 12*h**4/5 - 8*h**3/15 + 10. Factor y(a).
2*a**2*(a - 1)*(5*a - 2)**2/5
Let z(j) be the third derivative of -j**7/3360 - j**6/360 - j**5/96 - j**4/48 - j**3/6 + j**2. Let h(u) be the first derivative of z(u). Factor h(k).
-(k + 1)**2*(k + 2)/4
Let s(v) be the third derivative of -2*v**7/35 + v**6/40 + 4*v**2. Determine u, given that s(u) = 0.
0, 1/4
Let o = 9 - 5. Factor -o - 2 + 2*t - t**2 + 5.
-(t - 1)**2
Suppose 4 = -4*y - 7*s + 2*s, 0 = -4*y - 2*s + 8. Suppose -3*q = -2*o + y*o - 13, -4*o = -q + 9. Suppose -4*m**3 + 2*m**5 + 0*m**q + 2*m**3 = 0. What is m?
-1, 0, 1
Factor 12/5*m**3 + 0 + 0*m - 3/5*m**4 - 12/5*m**2.
-3*m**2*(m - 2)**2/5
Let l = 11 + -9. Factor 13 - 2*o**2 - o**2 - 7 + 5*o - l*o.
-3*(o - 2)*(o + 1)
Let p(q) be the third derivative of q**6/960 - q**5/480 - 5*q**4/192 - q**3/16 - 7*q**2. Solve p(s) = 0.
-1, 3
Let s(h) be the first derivative of 2*h**3/27 - h**2/9 - 4*h/3 + 10. Suppose s(l) = 0. What is l?
-2, 3
Suppose -58 - 110 = 3*v. Let j be -1 + -1 - 160/v. Factor 6/7*g**3 + 0 + j*g**2 + 2/7*g**4 + 2/7*g.
2*g*(g + 1)**3/7
What is l in 14 + 2 + l**2 - 25*l + 4 + 4*l**2 = 0?
1, 4
Let w(r) be the first derivative of -1/15*r**3 - 1/10*r**4 + 0*r**2 + 4 - 2/15*r**6 + 7/25*r**5 + 0*r. Factor w(h).
-h**2*(h - 1)**2*(4*h + 1)/5
Let z(w) be the second derivative of -4*w + 1/4*w**4 + 0*w**2 + 0*w**3 + 0. Factor z(q).
3*q**2
Let y(j) be the third derivative of 5*j**2 + 0 + 0*j + 1/12*j**4 + 1/2*j**3 + 1/180*j**5. What is x in y(x) = 0?
-3
Let o(i) be the second derivative of i**6/1980 - i**5/220 + i**4/66 + 11*i**3/6 - 4*i. Let y(t) be the second derivative of o(t). Find s, given that y(s) = 0.
1, 2
Let a = 6/85 - 23/1530. Let t(q) be the second derivative of 0 - a*q**4 - 2/9*q**3 - 3*q - 1/3*q**2. What is w in t(w) = 0?
-1
Let v be (-1*2/(-3))/2. Let t = 0 + v. Factor 0*r - 1/3*r**2 + 0 + 0*r**3 + t*r**4.
r**2*(r - 1)*(r + 1)/3
Let c = 3295 + -3292. Let x = -13 + 18. Let -1/4*y**c + 0*y + 0*y**2 + 1/4*y**x + 0 + 0*y**4 = 0. Calculate y.
-1, 0, 1
Factor -4/5*r**4 + 0*r**3 + 0 + 2/5*r**5 - 2/5*r + 4/5*r**2.
2*r*(r - 1)**3*(r + 1)/5
Suppose -2*o = -5*m + 4*m + 4, 2*m + 2*o + 4 = 0. Find z such that m + 4/3*z - 2/3*z**2 = 0.
0, 2
Suppose 0 + 0*r**2 - 4/15*r**4 + 8/15*r + 2/5*r**5 - 6/5*r**3 = 0. Calculate r.
-1, 0, 2/3, 2
Let q(r) be the third derivative of r**8/560 + r**7/240 - r**5/240 + 2*r**3/3 - 6*r**2. Let k(t) be the first derivative of q(t). Suppose k(y) = 0. What is y?
-1, -1/2, 0, 1/3
Suppose 2*y + 2*y - 8 = 0. Let l be (-8)/(-6)*27/6. Determine d, given that d**y - 3*d**2 - 2 + l*d - 2*d = 0.
1
Suppose l + 24 = 81. Let o be (-6)/(-21) + l/21. Determine s so that s**5 - 4*s**4 - 6*s**4 + 8*s**3 + o*s**5 - 2*s**2 = 0.
0, 1/2, 1
Let s = 2 - -3. Let u = s + -1. Let v**u + 3 - 2*v**3 + 2*v - 2 - 2 = 0. What is v?
-1, 1
Let a(o) be the first derivative of -4/15*o**6 + 0*o**2 + 0*o - 4/5*o**4 - 28/25*o**5 + 16/15*o**3 - 8. Let a(z) = 0. What is z?
-2, 0, 1/2
Suppose -4*t = -35 + 7. Let k = -5 + t. Find l such that 1/2*l**3 + 1 + 0*l**k - 3/2*l = 0.
-2, 1
Let p(h) be the second derivative of -h**5/60 - h**4/6 - 5*h**3/18 + h - 18. Let p(g) = 0. What is g?
-5, -1, 0
Let a(q) be the third derivative of 0*q + 0 - 2*q**2 + 3/32*q**4 + 1/480*q**6 + 0*q**3 + 1/40*q**5. Factor a(l).
l*(l + 3)**2/4
Let z(s) = -8*s**3 - 20*s**2 - 22*s + 38. Let i(d) = -d**3 - d**2 - d + 1. Let b(g) = -6*i(g) + z(g). Suppose b(k) = 0. Calculate k.
-4, 1
Let r = 0 + 3. Let u be 3/(-18)*r*0. Let u + 2*k**2 + 2/3*k + 2/3*k**4 + 2*k**3 = 0. What is k?
-1, 0
Let q(y) be the third derivative of -1/12*y**4 + 1/6*y**3 - 3*y**2 + 1/60*y**5 + 0 + 0*y. Find j, given that q(j) = 0.
1
Let h(w) be the second derivative of -3*w**5/80 + w**4/8 + w**3/8 - 3*w**2/4 - 14*w. What is r in h(r) = 0?
-1, 1, 2
Solve 60*x**2 - 54*x + 450 - 58*x**2 - 6*x = 0.
15
Suppose 13 - 32 = i. Let m = i - -39/2. Factor -4*y - 2 - m*y**2 + 5/2*y**3 - 1/2*y**5 + 1/2*y**4.
-(y - 2)**2*(y + 1)**3/2
Let y(f) be the second derivative of f**6/1080 + f**5/180 + f**4/72 + f**3/6 - 6*f. Let m(j) be the second derivative of y(j). Factor m(k).
(k + 1)**2/3
Let y(v) be the first derivative of -7*v**4/2 + 32*v**3/3 - 11*v**2 + 4*v + 9. Suppose y(i) = 0. Calculate i.
2/7, 1
Let -1/2*y**3 + 0 + 0*y + 1/3*y**2 = 0. Calculate y.
0, 2/3
Let m = 182 + -727/4. Suppose m*u**3 + 1/2*u**2 + 0*u - 1/4*u**4 + 0 = 0. What is u?
-1, 0, 2
Let d(j) be the first derivative of 21*j**5/25 + 69*j**4/20 + 27*j**3/5 + 39*j**2/10 + 6*j/5 - 6. Factor d(r).
3*(r + 1)**3*(7*r + 2)/5
Factor 7/5*v + 1/5*v**2 + 0.
v*(v + 7)/5
Let -2/9*b**2 + 0 + 0*b = 0. Calculate b.
0
Let r be ((-3)/2)/(14/(-28)). Factor -2*s**2 + 2*s**4 - 4*s + 18 - 18 + 4*s**r.
2*s*(s - 1)*(s + 1)*(s + 2)
Let g(v) be the second derivative of -v**6/60 + v**5/30 - 3*v**2/2 + 2*v. Let x(i) be the first derivative of g(i). Suppose x(k) = 0. What is k?
0, 1
Let t(y) be the first derivative of -y**6/12 - 3*y**5/5 - 13*y**4/8 - 2*y**3 - y**2 + 13. Factor t(m).
-m*(m + 1)**2*(m + 2)**2/2
Determine w so that 4*w**4 - 15*w**2 + w**4 - 4*w + 12*w - 18*w = 0.
-1, 0, 2
Let x(l) = -l**3 - l**2 + l - 1. Let h(o) = 4*o**3 - 2*o**2 - 8*o + 2. Let c(p) = -2*h(p) - 4*x(p). What is k in c(k) = 0?
-1, 0, 3
Let f = -8 - -10. Let o be (-12)/(-70)*(-30)/(-9). Solve 2/7*u**f + 2/7*u - o = 0 for u.
-2, 1
Let b = 11 + -14. Let x be ((-4)/(-6))/((-4)/b). Determine h, given that 0 + 1/2*h + x*h**2 = 0.
-1, 0
Let h(p) be the first derivative of -2*p**3/15 - 28*p**2/5 - 392*p/5 - 15. Factor h(z).
-2*(z + 14)**2/5
Factor -21/4*w + 3/2*w**2 + 3 + 3/4*w**3.
3*(w - 1)**2*(w + 4)/4
Let s(q) be the second derivative of -q**5/100 - q**4/60 - 10*q. Factor s(w).
-w**2*(w + 1)/5
Suppose -420 = -2*q - 3*q. Let t = q + -165/2. Factor t*k - 3/2*k**2 + 1/2*k**3 - 1/2.
(k - 1)**3/2
Let w be (-4)/(-6)*9/(-6). Let z be 8/6*(4 + w). Determine m so that -m**3 + 0*m**3 + 3*m**4 - z*m**4 + m**2 + m = 0.
-1, 0, 1
Determine k, given that -12*k**3 + 0*k - 28*k**2 - 4*k - 12*k**3 = 0.
-1, -1/6, 0
Suppose 5*h = 15, 3*z + z = -h + 23. Let x(p) be the