- 6*k - 2*k**3 + 0*k**2.
-2*k*(k + 1)*(k + 3)
Let m = -1000 + 1002. What is q in 0*q + 2/9*q**m + 0 - 2/9*q**3 = 0?
0, 1
Let z(s) = 5 - 3 + 0*s**3 + 3*s + s**3 + 13*s**2 - 7*s**2. Let l(f) = -f**2 - f - 1. Let r(p) = -12*l(p) - 3*z(p). Factor r(u).
-3*(u - 1)*(u + 1)*(u + 2)
Factor 0 + 0*v**2 - 2/3*v**4 + 0*v - 1/3*v**5 + 0*v**3.
-v**4*(v + 2)/3
Let y be ((-54)/(-15) - 4)*-15. Let j(i) be the third derivative of 0 + 1/12*i**4 + 0*i**5 - i**2 - 2/9*i**3 - 1/180*i**y + 0*i. Find q, given that j(q) = 0.
-2, 1
Let m(g) be the third derivative of g**7/210 + g**6/30 - g**5/10 - g**4/6 + 5*g**3/6 + 25*g**2. Factor m(i).
(i - 1)**2*(i + 1)*(i + 5)
Let c(w) be the first derivative of w**3/3 + w**2 + w - 3. Find t such that c(t) = 0.
-1
Let j = 14 - 10. Let s(a) be the third derivative of 1/30*a**5 + 0*a**3 + 0*a**j - 2*a**2 + 0 + 0*a. Factor s(k).
2*k**2
Let u(h) be the second derivative of -49*h**7/3 + 98*h**6/5 + 259*h**5/10 - 143*h**4/3 + 28*h**3 - 8*h**2 + 11*h. Find g such that u(g) = 0.
-1, 2/7, 1
Let a be 2/6*(-1 + 1). Suppose 5*h - 20 = -a*h. Solve 0*l - 1/4*l**2 - 1/2*l**3 + 0 - 1/4*l**h = 0.
-1, 0
Let m(y) = -5*y**3 + 5*y**2 + y - 1. Suppose -4*j - 9 = 7. Let w(d) = -d**3 + d**2. Let h(f) = j*w(f) + m(f). Factor h(u).
-(u - 1)**2*(u + 1)
Let d(q) be the third derivative of -q**8/80640 + q**7/5040 - q**6/720 + q**5/20 - 4*q**2. Let l(s) be the third derivative of d(s). Factor l(g).
-(g - 2)**2/4
Suppose -4 + 7/6*y**4 - 26/3*y - 47/6*y**3 + 49/3*y**2 = 0. Calculate y.
-2/7, 2, 3
Let 0*b + 0 - 3/2*b**5 - 3/2*b**3 - 3*b**4 + 0*b**2 = 0. What is b?
-1, 0
Let x be 2/(-3) - 110/(-99). Determine v so that 2/9*v**2 + 2/9*v - x = 0.
-2, 1
Suppose 0 = -6*j + 8*j - 6. Factor -8/9*p**j - 2/9*p**4 - 8/9*p - 2/9 - 4/3*p**2.
-2*(p + 1)**4/9
Let r(o) = -o**4 - 14*o**3 + 31*o**2 - 20*o + 4. Let g(z) = -2*z**4 - 13*z**3 + 32*z**2 - 20*z + 3. Let f(y) = 4*g(y) - 3*r(y). Solve f(d) = 0 for d.
-4, 0, 1
Suppose -d - 1 = -3. Let l(x) = x**2 - x. Let n be l(2). Factor 4 - 3 + a**d - n*a**2.
-(a - 1)*(a + 1)
Let 24*b + 9*b**3 + 105*b**2 - 74*b - 90*b**2 - 4*b**3 = 0. What is b?
-5, 0, 2
Let m(v) = -v**2 + 11. Let u(o) = 1. Let c(p) = 5*m(p) - 35*u(p). What is x in c(x) = 0?
-2, 2
Let w(p) = 3*p - 1. Let t(x) = x**2 + 4*x - 4. Let m be t(-5). Let d be w(m). Suppose 2*j**d + 4*j**4 - 4*j**4 - 2*j**4 = 0. What is j?
-1, 0, 1
Suppose 3*h - 10 = -5*o, -2*h - 2*o + 23 = 3*h. Suppose 0*j = 3*y + j - h, 7 = 2*y - 3*j. Factor 0 - 2/7*k**y + 0*k.
-2*k**2/7
What is a in 2/7*a**2 + 6/7 + 8/7*a = 0?
-3, -1
Let s be (-7)/14 + (-1)/(-8). Let x = s - -5/8. Factor -1/4*p + 0*p**3 - 1/2*p**4 + x*p**5 + 1/2*p**2 + 0.
p*(p - 1)**3*(p + 1)/4
Let w be ((90/80)/(-1))/(9/(-6)). Factor 3/4*d - w*d**3 + 0*d**2 + 0.
-3*d*(d - 1)*(d + 1)/4
Let f(c) be the second derivative of -c**4/42 + c**2/7 + 2*c. Let f(k) = 0. Calculate k.
-1, 1
Let f(i) be the third derivative of -i**5/48 + 5*i**4/48 - 5*i**3/24 + 9*i**2. Find s such that f(s) = 0.
1
Let i(x) be the third derivative of -x**5/15 + x**4/6 + 4*x**3/3 + 23*x**2. Find n, given that i(n) = 0.
-1, 2
Let r = 6 + -4. Find s such that -18*s**3 + 14*s**3 - 6*s**r - 4*s + 0*s**4 - s**4 - 1 = 0.
-1
Let v(i) be the first derivative of -i**3/2 - 9*i**2/4 - 3*i + 25. Factor v(j).
-3*(j + 1)*(j + 2)/2
Let c(i) = 5*i**2 + 100*i + 500. Let z(f) = 5*f**2 + 100*f + 500. Let w(x) = 6*c(x) - 5*z(x). What is s in w(s) = 0?
-10
Let w(n) be the first derivative of -9*n**3 - 24*n**2 + 12*n + 25. Solve w(d) = 0 for d.
-2, 2/9
Let s(q) be the first derivative of -1/90*q**5 - 2*q - 1/9*q**2 - 1 - 1/9*q**3 - 1/18*q**4. Let v(w) be the first derivative of s(w). Factor v(c).
-2*(c + 1)**3/9
Let s = 4587/10 - 458. Let u(f) be the second derivative of -2/3*f**3 + 0*f**2 + 0 + f + 3/2*f**4 - s*f**5. Factor u(z).
-2*z*(z - 1)*(7*z - 2)
Let s = 324 - 322. Factor -1/7*w**3 - 5/7*w**s - 4/7 - 8/7*w.
-(w + 1)*(w + 2)**2/7
Let o(v) be the first derivative of -4*v**3/3 + 7*v**2 - 6*v - 16. Suppose o(z) = 0. What is z?
1/2, 3
Let t be ((-10)/(-2))/((-14)/(-14)). Let j(l) be the third derivative of -1/480*l**6 + 0*l**3 + 0 + 0*l**4 - 1/240*l**t + 0*l + 3*l**2. Factor j(w).
-w**2*(w + 1)/4
Factor q**2 - 3*q**2 + 20*q + 39 - 137 - 48*q.
-2*(q + 7)**2
Let g(n) = -n + 4. Let u be g(2). Let l be -3 - 7/u*-1. Let l*c**2 + 0 + 1/2*c = 0. What is c?
-1, 0
Let x(v) be the third derivative of v**8/216 + 4*v**7/315 + v**6/180 - v**5/135 - 7*v**2. Factor x(a).
2*a**2*(a + 1)**2*(7*a - 2)/9
Let v(z) be the first derivative of -2/3*z**3 + 0*z**4 + 0*z + 0*z**2 + 1/1080*z**6 - 1 - 1/360*z**5. Let u(d) be the third derivative of v(d). Factor u(g).
g*(g - 1)/3
Let u(q) be the third derivative of -q**7/420 + q**6/180 + q**5/30 - q**3/2 + 5*q**2. Let d(n) be the first derivative of u(n). Find a such that d(a) = 0.
-1, 0, 2
Let b(p) be the first derivative of 2*p**3/39 - 5*p**2/13 - 26. Factor b(r).
2*r*(r - 5)/13
Let l(b) be the first derivative of -b**2 + 0*b - 1/36*b**5 - 1/360*b**6 - 2/9*b**3 - 1/9*b**4 - 2. Let j(s) be the second derivative of l(s). Factor j(m).
-(m + 1)*(m + 2)**2/3
Let j(r) be the first derivative of 1/4*r**4 + 7 + 0*r**3 + 0*r**2 + 0*r. What is s in j(s) = 0?
0
Let d(x) be the first derivative of x**4/10 + 2*x**3/15 - 16. Factor d(w).
2*w**2*(w + 1)/5
Let s = 9 + 11. What is v in s*v + 16*v**2 + v**3 + 3 + 3*v**3 + 0*v**3 + 5 = 0?
-2, -1
Factor -2/3*g**5 + 2/3*g**2 + 0 + 0*g + 2/3*g**3 - 2/3*g**4.
-2*g**2*(g - 1)*(g + 1)**2/3
Let d(w) be the first derivative of w**3/9 - 3*w**2/2 + 8*w/3 - 5. What is j in d(j) = 0?
1, 8
Let t be (-1)/(-1)*(5 + -2). Let -4*j - j**2 - 2 + 2*j - t + 4 = 0. What is j?
-1
Let q be (-4)/(-12)*2*15/2. Factor 1/2*p**3 - 1/2*p**q + 0*p**4 + 0 + 0*p + 0*p**2.
-p**3*(p - 1)*(p + 1)/2
Let i(a) = -2*a - 7. Let q be i(9). Let b = 51/2 + q. Find h such that -1/2*h**5 - b*h + h**2 + h**3 - 1/2*h**4 - 1/2 = 0.
-1, 1
Suppose -s = 4*m - 7, 0 = -5*m + m. Let w = s + -3. Factor -t**3 + t**5 + t**w + 0*t**4 - 3*t**2 + 2*t**2.
t**2*(t - 1)*(t + 1)**2
Solve -100*m**3 - 112*m - 6*m**5 + 0*m**5 + 0*m**5 - 32 - 32*m**4 - 152*m**2 + 2*m**5 = 0.
-2, -1
Let i = 41 - 41. Let z(n) be the third derivative of i - 1/20*n**6 + 0*n + 0*n**3 + 1/70*n**7 + 1/20*n**5 + 3*n**2 + 0*n**4. Suppose z(b) = 0. Calculate b.
0, 1
Let c(l) = -2*l**3 - 3*l**2 + 2*l - 3. Let d(m) = -m**3 + 3*m**3 + 4 + 4*m**2 - m - m. Let x(r) = -4*c(r) - 3*d(r). Factor x(h).
2*h*(h - 1)*(h + 1)
Factor 21*m**2 + 8*m - 16*m**2 - 3*m.
5*m*(m + 1)
Let s(c) = -c**3 - c**2 - 6*c - 4. Let d be s(-1). Let 0 - 1/3*o**3 + 0*o + 2/3*o**d = 0. What is o?
0, 2
Let w = 13 + 2. Suppose -5*j - w = -10*j. Find n such that 4*n - 31*n + 3*n + 15*n**2 - 2*n**j - n**3 + 12 = 0.
1, 2
Factor 19*i**2 - 4*i - 2*i**4 + 0*i**3 - 13*i**2 + 0*i**3.
-2*i*(i - 1)**2*(i + 2)
Let f(z) be the first derivative of z**5/4 - 5*z**3/4 + 5*z**2/4 + 28. Factor f(w).
5*w*(w - 1)**2*(w + 2)/4
Factor 1/5*v**2 + 0 - 8/5*v.
v*(v - 8)/5
Let u = -956 - -66921/70. Let k(i) be the second derivative of 0 + 1/21*i**4 - u*i**5 + 0*i**3 + 0*i**2 - 2*i. Solve k(w) = 0.
0, 2
Let m(t) = -t**4 - t**3 - t. Let j(b) = 20*b**3 + 5*b. Let f(p) = j(p) + 5*m(p). Let f(l) = 0. Calculate l.
0, 3
Let p(f) be the third derivative of 2*f**2 + 1/525*f**7 + 0*f + 1/60*f**4 - 1/300*f**6 + 0*f**3 + 0 - 1/150*f**5. Let p(u) = 0. What is u?
-1, 0, 1
Let x(s) = -15*s + 11. Let v(w) = 7*w - 5. Let u(y) = -13*v(y) - 6*x(y). Let r be u(-4). Let 3*q**2 - r*q + 2*q + 5*q + 2 - q**2 = 0. What is q?
-1
Let y be (1/(-4))/(345/(-230)). Find r such that 0*r + y*r**2 + 0 - r**3 = 0.
0, 1/6
Let w(j) be the second derivative of j**4/2 + 4*j**3/3 + j**2 - j. Factor w(c).
2*(c + 1)*(3*c + 1)
Let a = 121/5 + -113/5. Find i, given that 14/5*i**5 - a*i**2 - 32/5*i**3 + 0 + 0*i - 2*i**4 = 0.
-1, -2/7, 0, 2
Factor 1 - 4 + 3*m**4 + 2 + 2*m**3 - 2*m**4 - 2*m.
(m - 1)*(m + 1)**3
Let p(d) be the first derivative of 0*d - 1/2*d**2 + 4 - 1/60*d**4 + 0*d**3 + 1/150*d**5. Let o(j) be the second derivative of p(j). Factor o(z).
2*z*(z - 1)/5
Let f(g) be the third derivative of -1/2*g**4 + 3/20*g**5 + 1/2*g**3 + 0 - 8*g**2 + 0*g. Factor f(j).
3*(j - 1)*(3*j - 1)
Let a(n) be the third derivative of n**7/1050 - n**6/150 + n**5/100 + n**4/30 - 2*n**3/15 + 2*n**2. Solve a(w) = 0.
-1, 1, 2
Let o = 7/45 - -2/45. Let d 