ctor n - 1/2*n**2 - 1/2.
-(n - 1)**2/2
Let y be ((-9)/(-90))/(13 - -2). Let v(h) be the third derivative of y*h**5 + 0 + 0*h**3 - 4*h**2 + 0*h + 0*h**4 - 1/300*h**6. Solve v(s) = 0.
0, 1
Let o = -20 - -20. Find t such that 1/3*t**2 - 1/3*t**4 + 0*t**3 + o + 0*t = 0.
-1, 0, 1
Find g, given that 54/5 + 54/5*g + 2/5*g**3 + 18/5*g**2 = 0.
-3
Let z(u) be the first derivative of u**6/18 + 2*u**5/15 - u**4/6 - 4*u**3/9 + u**2/6 + 2*u/3 - 12. Let z(p) = 0. Calculate p.
-2, -1, 1
Let h(x) be the third derivative of -x**5/60 + 3*x**3/2 + 40*x**2. Factor h(a).
-(a - 3)*(a + 3)
Suppose -5 = -4*g - 5*q, -5*g + 0*q - q = -1. Let h(u) be the first derivative of g*u - 1 + 2/21*u**3 - 1/7*u**2. Solve h(r) = 0.
0, 1
Let h(f) be the second derivative of -f**5/30 + f**4/6 - f**3/3 - 3*f**2/2 - 2*f. Let u(s) be the first derivative of h(s). Suppose u(j) = 0. Calculate j.
1
Suppose -3*u + 2 = -7. Let p be ((-10)/(-6))/((-4)/6) - -3. Suppose 1/4*t + 1/2 - p*t**2 - 1/4*t**u = 0. What is t?
-2, -1, 1
Factor -6*s**4 - 12*s**3 - 14*s**5 + 11*s**5 - 8*s**2 + 2*s**5.
-s**2*(s + 2)**3
Let y(f) be the third derivative of f**8/84 + f**7/105 - f**6/30 - f**5/30 + 9*f**2. Determine k so that y(k) = 0.
-1, -1/2, 0, 1
Let c(k) be the third derivative of -k**7/560 + 3*k**5/80 + k**4/8 + 5*k**3/6 - 3*k**2. Let r(l) be the first derivative of c(l). Factor r(f).
-3*(f - 2)*(f + 1)**2/2
Let s = -8 + 8. What is i in s - 1/5*i - 1/5*i**2 = 0?
-1, 0
Suppose -3*o = -2*o. Let p(i) be the third derivative of 1/80*i**5 + i**2 + 0 + 0*i**3 + o*i + 1/48*i**4. Find h such that p(h) = 0.
-2/3, 0
Let a(p) be the third derivative of -p**8/8400 + p**7/2100 - p**6/1800 - p**3/3 + p**2. Let j(c) be the first derivative of a(c). Factor j(m).
-m**2*(m - 1)**2/5
Suppose 8*t - 16 = 3*t - 4*m, -m = 5*t - 4. Suppose t = 3*g - 5 - 7. Factor -2/3*j + 11/3*j**g - j**5 - 5*j**3 + 0 + 3*j**2.
-j*(j - 1)**3*(3*j - 2)/3
Suppose 2/5*k**4 + 2/5*k**5 + 0 + 0*k - 2/5*k**2 - 2/5*k**3 = 0. What is k?
-1, 0, 1
Let o be (-3)/(-2) + (-1)/2. Let z = 0 + 2. Factor z*p**2 - o + 2*p + 3 - 2.
2*p*(p + 1)
Let w(f) be the first derivative of -f**4/14 - 2*f**3/7 + f**2/7 + 6*f/7 - 7. Find a such that w(a) = 0.
-3, -1, 1
Let v(j) = 4*j - 20. Let s be v(6). Let i(u) be the second derivative of 1/4*u**5 + 0 + 1/15*u**6 - s*u + 1/6*u**4 + 0*u**2 + 0*u**3. Factor i(r).
r**2*(r + 2)*(2*r + 1)
Let y(w) = 4*w**3 + 4*w**2 + 8*w + 8. Let b(j) = -j**3 - j**2 - j - 1. Let s(n) = -6*b(n) - y(n). Let s(r) = 0. Calculate r.
-1, 1
Let g be (-72)/315*15/(-12). Find b such that -4/7*b**2 + 6/7*b**4 - 4/7*b**3 + 6/7*b - g*b**5 - 2/7 = 0.
-1, 1
Let w(g) be the second derivative of g**5/5 + g**4/3 - 2*g**3/3 - 2*g**2 + 5*g. Let w(m) = 0. Calculate m.
-1, 1
Let r be 0/(-2)*(-2)/(-4). Let f be ((-5 - 2) + 3)*(6 - 7). Factor 1/2*i**5 + r + 0*i**3 + i**2 - 1/2*i - i**f.
i*(i - 1)**3*(i + 1)/2
Suppose z = 4 - 2. Let n be 11/(2541/(-44))*(-3)/2. Factor -n*c - 2/7 + 2/7*c**3 + 2/7*c**z.
2*(c - 1)*(c + 1)**2/7
Let v(i) = -3*i**2 - i - 19. Let z(g) = -2*g**2 - 2*g - 18. Let r(f) = -6*v(f) + 7*z(f). What is p in r(p) = 0?
-1, 3
Factor 2/3*h**3 + 0 + 4/3*h**2 + 0*h.
2*h**2*(h + 2)/3
Suppose -1 - 2 = -c. Factor -9 + 8 + c - 4*j**3 - 3*j**2 - 3*j**2.
-2*(j + 1)**2*(2*j - 1)
What is w in -7*w**2 - 2*w**2 + 2*w**2 + 4*w**2 + 3 = 0?
-1, 1
Suppose 5*t - t = u + 3, -6 = -3*t - 3*u. Let b = -1 + t. Factor z**4 + 0*z**3 + b - z**2 + 1/2*z - 1/2*z**5.
-z*(z - 1)**3*(z + 1)/2
Let r(u) = u**4 - u**3 - 1. Let o(q) = -q**5 + 6*q**4 - 23*q**3 + 38*q**2 - 28*q + 10. Let j(v) = -o(v) - 2*r(v). Suppose j(m) = 0. What is m?
1, 2
Let u(r) = 4*r. Let l(d) = 11*d + 1. Let s(y) = 3*l(y) - 8*u(y). Let n be s(-3). Factor 2/7*v**3 + n - 4/7*v**2 + 2/7*v.
2*v*(v - 1)**2/7
Factor 2*m + 6*m**2 - 2*m**2 - 2*m**2.
2*m*(m + 1)
Let q(u) = -u**2 + 6*u - 5. Let m be q(4). Find h, given that -5*h**m - 5*h + 6 + 14*h + 2*h**3 = 0.
-1, 2
Let d = 23/3 + -89/12. Let k(a) = a + 8. Let l be k(-5). Let 1/2*b**2 + 0*b + 0 + d*b**l = 0. Calculate b.
-2, 0
Let g(w) be the second derivative of -2*w + 0 + 11/135*w**6 + 1/63*w**7 + 4/9*w**2 + 1/18*w**5 - 5/18*w**4 - 8/27*w**3. Determine b, given that g(b) = 0.
-2, -1, 1/3, 1
Let t(a) be the third derivative of a**5/60 - a**4/4 + 5*a**3/6 - 12*a**2. Factor t(v).
(v - 5)*(v - 1)
Let i = -3 + 14. Let o = i - 6. Determine a so that 1/5*a**4 + 4/5*a**o - 4/5*a**3 + 0 - 1/5*a**2 + 0*a = 0.
-1, -1/4, 0, 1
Suppose 33 + 10*o**3 - 8 + 19*o + 35*o**2 - 5*o**3 + 36*o = 0. Calculate o.
-5, -1
Determine p so that -16*p**2 + 0*p**3 - 5*p - 11*p - 4*p**3 = 0.
-2, 0
Let l(c) be the third derivative of -c**6/420 - c**5/42 + c**4/84 + 5*c**3/21 - 30*c**2. Find q such that l(q) = 0.
-5, -1, 1
Let l(k) be the first derivative of 2*k**6/15 - 3*k**5/20 - 3*k**4/4 - k**3/3 + 3*k + 10. Let p(c) be the first derivative of l(c). Find m, given that p(m) = 0.
-1, -1/4, 0, 2
Let t = 168001/120 + -1400. Let r(b) be the third derivative of 0*b + t*b**5 + 1/6*b**3 + 2*b**2 + 0 + 1/16*b**4. Factor r(v).
(v + 1)*(v + 2)/2
Let a = 257/3 + -85. Factor -a*c**2 - 4/9 - 10/9*c.
-2*(c + 1)*(3*c + 2)/9
Let y(w) be the second derivative of -w**7/147 + w**6/35 - w**5/35 + 4*w. Factor y(x).
-2*x**3*(x - 2)*(x - 1)/7
Let y be (-7)/(-28)*(-1)/(-2). Let b(h) be the first derivative of 0*h + 1/6*h**3 - 2 - y*h**2 - 1/16*h**4. What is d in b(d) = 0?
0, 1
Let u(i) be the third derivative of i**5/60 - i**4/96 + 7*i**2. Let u(y) = 0. What is y?
0, 1/4
Let o(z) be the third derivative of -7*z**6/900 + 3*z**5/100 - z**4/30 - z**3/3 + z**2. Let b(p) be the first derivative of o(p). Factor b(g).
-2*(g - 1)*(7*g - 2)/5
Let f(y) be the third derivative of -1/12*y**4 + 0*y + 5*y**2 + 0*y**3 + 0 - 1/30*y**5. Find h such that f(h) = 0.
-1, 0
Suppose 2*u + 15 = 7*u. Factor 4*z**3 + u*z**4 - 3*z**5 - 3*z**3 + 6*z - 15*z**2 + 8*z**3.
-3*z*(z - 1)**3*(z + 2)
Let t(f) be the second derivative of f**5/34 - f**4/17 + f**3/51 + 30*f. What is q in t(q) = 0?
0, 1/5, 1
Let b(a) = 0*a**2 - a**2 - 3*a - 3*a**2 - a**3 + 0*a**2. Let h be b(-3). Solve -6/7*k**2 + 10/7*k**3 - 4/7*k + h = 0.
-2/5, 0, 1
Let h(o) be the third derivative of 0*o**3 - 1/200*o**6 - 3/100*o**5 + 0 - 1/20*o**4 + 0*o - o**2. Factor h(u).
-3*u*(u + 1)*(u + 2)/5
Find g such that -8/7*g - 4/7*g**2 + 0 = 0.
-2, 0
Let g(p) be the first derivative of p**4/14 + 10*p**3/21 + 3*p**2/7 - 18*p/7 + 15. Factor g(f).
2*(f - 1)*(f + 3)**2/7
Solve -27/5*c**3 - 36/5*c**2 + 6/5 - 3/5*c = 0.
-1, -2/3, 1/3
Let g be (16/(-64))/((-2)/32). Let r(z) be the first derivative of -1/2*z**g + 3/10*z**5 - 1/3*z**3 + z**2 - 3 - 1/2*z. Factor r(q).
(q - 1)**2*(q + 1)*(3*q - 1)/2
Let f(c) = c**5 + c**2 - c + 1. Let t(m) = 10*m**5 - m**4 - 2*m**3 + 11*m**2 - 8*m + 8. Let s(z) = 18*f(z) - 2*t(z). Solve s(b) = 0.
-1, 1
Let j = 3824/4445 + -2/635. Factor 0 + 0*b - 2/7*b**5 + 0*b**4 - 4/7*b**2 + j*b**3.
-2*b**2*(b - 1)**2*(b + 2)/7
Let n = 1324/3 - 441. Suppose -m + 3 = 1. Factor -4/3*s + 4/3 + n*s**m.
(s - 2)**2/3
Let y be 543/540 - (-1 - -2). Let k(t) be the third derivative of -1/72*t**4 + 0*t**3 - t**2 + 0 - y*t**5 + 0*t. Factor k(s).
-s*(s + 1)/3
Let n(o) be the first derivative of -1/180*o**5 + 0*o + 1/2*o**2 + 1/36*o**4 + 3 - 1/18*o**3. Let r(d) be the second derivative of n(d). Solve r(l) = 0.
1
Let l(f) be the first derivative of -f**3/7 - 9*f**2/14 - 6*f/7 - 2. Suppose l(y) = 0. Calculate y.
-2, -1
Suppose 0 = 4*q + 4*r - 24, 4*q - 3*r = 2*r - 21. Let i be 2*q*3/6. Solve -2*v**4 + i + 2*v**3 + 0 + v**4 - 2*v = 0.
-1, 1
Let i(p) be the first derivative of p**4/6 - p**3/3 - 2*p**2 - 3*p - 1. Let a(b) be the first derivative of i(b). Find n such that a(n) = 0.
-1, 2
Let x(i) be the first derivative of -2/11*i + 3/11*i**2 - 1 + 1/22*i**4 - 2/11*i**3. Factor x(f).
2*(f - 1)**3/11
Let d(u) = -u - 1. Let g be d(-4). Let y(x) be the first derivative of -8/5*x + 4/5*x**2 - 2/15*x**3 - g. Determine q so that y(q) = 0.
2
Let k(j) be the third derivative of -1/8*j**3 + 1/48*j**4 + 4*j**2 + 1/240*j**5 + 0*j + 0. Determine a so that k(a) = 0.
-3, 1
Let r(g) = -g - 7. Let x be r(-7). Let u = x + 4. Factor 2/5 - 6/5*q**u - 4/5*q**3 + 6/5*q + 4/5*q**2 - 2/5*q**5.
-2*(q - 1)*(q + 1)**4/5
Let a(m) be the first derivative of -2*m**3/3 + 2*m - 16. Determine s, given that a(s) = 0.
-1, 1
Factor -30*r**3 - 