olve c(u) = 0 for u.
0, 1
Factor 0*v - 3/4*v**3 - 1/4*v**5 + 0 + 3/4*v**4 + 1/4*v**2.
-v**2*(v - 1)**3/4
Let w(n) be the third derivative of -n**6/180 - 2*n**5/45 - 5*n**4/36 - 2*n**3/9 - 8*n**2. Determine m, given that w(m) = 0.
-2, -1
Let u(h) = 5*h**3 - 2*h**2 - 8*h. Let v(b) = 3*b**3 - b**2 - 5*b. Let x(a) = -5*u(a) + 8*v(a). What is l in x(l) = 0?
0, 2
Let l(v) be the third derivative of v**5/270 - v**4/54 + v**3/27 + 6*v**2. Factor l(b).
2*(b - 1)**2/9
Let r(w) be the second derivative of -w**2 - 8*w + 0 - 1/10*w**5 + 1/6*w**4 + 1/3*w**3. Solve r(y) = 0.
-1, 1
Let y(m) = 12*m**3 + 29*m**2 + 31*m. Let j(g) = -8*g**3 - 19*g**2 - 21*g. Let b(a) = 7*j(a) + 5*y(a). Factor b(s).
4*s*(s + 1)*(s + 2)
Let r(s) be the third derivative of -s**6/240 - s**5/30 + s**2. Suppose r(n) = 0. What is n?
-4, 0
Let w = -18 - -23. Let r(i) be the second derivative of 0 - i + 0*i**4 + 1/126*i**7 + 0*i**2 + 0*i**6 - 1/60*i**w + 0*i**3. Determine h so that r(h) = 0.
-1, 0, 1
Let a(o) be the second derivative of -o**6/96 - o**5/30 - o**4/96 + o**3/12 - 2*o**2 - o. Let p(n) be the first derivative of a(n). Find z, given that p(z) = 0.
-1, 2/5
Let b = 3262/1221 + -2/407. Factor 20*x**2 + 125/3*x**4 + 0 + b*x + 50*x**3.
x*(5*x + 2)**3/3
Let j be 4/(-5) - 1182/(-1440). Let o(l) be the second derivative of 0 + 1/24*l**3 - l + j*l**4 + 0*l**2. Suppose o(v) = 0. Calculate v.
-1, 0
Let g be (224/108 + -2)*3. What is y in 4/9*y - g*y**2 + 0 = 0?
0, 2
Let m = 4 - 1. Factor 0*y**2 - 2*y**m + 5*y**5 - 2*y**2 + 0*y**2 + 8*y**4 + 3*y**3.
y**2*(y + 1)**2*(5*y - 2)
Let u(l) be the first derivative of -l**3/5 + 3*l**2/10 - 5. Factor u(r).
-3*r*(r - 1)/5
Let l(o) = -o**2 - 9*o - 18. Let g be l(-6). Determine t so that 0 - 1/2*t**5 + 1/2*t**2 + 1/2*t**3 - 1/2*t**4 + g*t = 0.
-1, 0, 1
Let r(x) be the second derivative of 49*x**6/225 - 7*x**5/150 - 11*x**4/30 - x**3/5 + 9*x. Find o, given that r(o) = 0.
-3/7, 0, 1
Let p(y) be the second derivative of 55*y**4/4 - 85*y**3/6 + 5*y**2 + 27*y. Factor p(k).
5*(3*k - 1)*(11*k - 2)
Let j be 1*(-1 + 5) - -1. Suppose -12 = -j*z + z. What is m in 5*m**2 + m + z*m**4 + 7*m**3 + 4 - 4 = 0?
-1, -1/3, 0
Factor 2/7*s**2 + 0 - 2/7*s**4 - 4/7*s + 4/7*s**3.
-2*s*(s - 2)*(s - 1)*(s + 1)/7
Let k(v) = -v**3 + 3*v**2 + 4. Let m be k(3). Suppose 2*b + 5*x - 16 = -0*x, -m*b + 4 = -4*x. What is a in a**3 + b*a**4 + 6*a**2 - 4*a**2 + 3*a**3 - a**4 = 0?
-1, 0
Let s = 0 + 4. Suppose -3*h + 2 = -s. Suppose 0 - 1/4*f**h - 1/4*f**3 + 1/4*f**4 + 1/4*f = 0. What is f?
-1, 0, 1
Let j(y) be the first derivative of y**4/36 - y**3/9 + y**2/6 - y/9 - 4. Find p such that j(p) = 0.
1
Let x(l) = -15*l**3 - 36*l**2 - 36*l - 15. Let m(h) = -h**4 - h**3 - h**2 + 1. Let k(b) = -3*m(b) - x(b). Factor k(o).
3*(o + 1)**2*(o + 2)**2
Let o = -7 - -4. Let f(p) = -6*p**3 + 2*p**2 + 6*p - 2. Let s(g) = 5*g**3 - g**2 - 5*g + 1. Let n(a) = o*f(a) - 4*s(a). Find m, given that n(m) = 0.
-1, 1
Let c(v) = v**2 - 9. Let h be c(-3). Find l, given that h + 2/7*l**2 - 4/7*l = 0.
0, 2
Suppose 23 = 4*a + 3*y, -4*y + 27 = 7. Find d, given that 2/3*d**3 + 0 + 0*d**a + 0*d = 0.
0
Factor -352*b - 20*b**2 - 5*b**3 + 169*b + 168*b.
-5*b*(b + 1)*(b + 3)
Let k be (42/8)/((-1)/4). Let a be (-1)/3 + k/(-9). Factor -c**2 + 2*c**2 - 2*c**a - c**3 + 2*c**2.
-c**2*(c - 1)
Suppose -5*i - 15 = -4*z, 0*z - 4*z = 3*i + 9. Factor z*p - 1/2*p**2 + 0.
-p**2/2
Let w(d) be the second derivative of -d**8/112 - d**7/70 + 3*d**2/2 - 4*d. Let t(j) be the first derivative of w(j). Factor t(r).
-3*r**4*(r + 1)
Let o(g) be the first derivative of g**6/420 + g**5/210 + 3*g**2/2 - 3. Let l(t) be the second derivative of o(t). Factor l(h).
2*h**2*(h + 1)/7
Let g(f) be the second derivative of -f**4/96 - f**3/12 - f**2/4 - f. Suppose g(k) = 0. What is k?
-2
Let g = -2 - -2. Determine d, given that g + 3/4*d**2 - d**3 + 1/4*d = 0.
-1/4, 0, 1
Let a(g) be the first derivative of 2/3*g**3 + 0*g + 5 + 1/4*g**4 + 0*g**2 - 1/5*g**5. Factor a(d).
-d**2*(d - 2)*(d + 1)
Let l(a) = a. Let y(c) = c**2 - 7*c - 6. Let n(o) = o**2. Let m(u) = -n(u) - y(u). Let z(f) = 22*l(f) - 2*m(f). Let z(p) = 0. What is p?
-3, 1
Let g(v) be the third derivative of 0*v + 0 - 1/4*v**3 - 1/8*v**4 + v**2 - 1/40*v**5. Factor g(p).
-3*(p + 1)**2/2
Suppose -3*p = p - 20. Let k(u) be the third derivative of 0*u**3 + 0*u + 0 - 1/60*u**6 + 1/84*u**4 - u**2 - 4/735*u**7 - 1/105*u**p. Find n such that k(n) = 0.
-1, 0, 1/4
Suppose 5*b + 4*q - 85 = -q, b = -4*q + 20. Suppose 3*j - 6*j + o + b = 0, 4*j + 5*o + 4 = 0. Solve m**5 + m**2 + 3*m**j - 3*m**3 + 0*m**5 - 2*m**5 = 0 for m.
0, 1
Let b(v) = v**5 + v**4 - v**2 + v - 1. Let c(p) = -4*p**4 - 7*p**3 + 9*p + 3. Let z(f) = -b(f) + c(f). Factor z(i).
-(i - 1)*(i + 1)**2*(i + 2)**2
Let b(c) = c + 1. Let l be b(5). Let n be l/9 + (-66)/(-9). Let 4*g - 4*g**3 + 1/2 - n*g**4 + 15/2*g**2 = 0. Calculate g.
-1, -1/4, 1
Let t = 13 + -8. Let u(o) = o**3 - 2*o**2 - 3*o + 4. Let g be u(3). Find q, given that 3*q**g + q**2 + t*q**3 - 4*q**5 - q - 4*q**2 + 0*q**2 = 0.
-1, -1/4, 0, 1
Suppose -3*a - 3 = -12. Factor 2 + y**3 + y**a + 10*y + 6 - 4 + 8*y**2.
2*(y + 1)**2*(y + 2)
Let z(o) be the third derivative of o**5/80 - 3*o**4/8 + 9*o**3/2 + 5*o**2. Factor z(v).
3*(v - 6)**2/4
Let s(x) = -x**3 - 7*x**2 + 5*x - 3. Let h(g) = 4*g**3 + 34*g**2 - 24*g + 14. Let f(c) = 6*h(c) + 28*s(c). Solve f(k) = 0 for k.
0, 1
Let h be 3*(-1 - (-10)/(-6)). Let j = 10 + h. Factor g**3 - g + g**j - 1 + g**2 - 1.
(g - 1)*(g + 1)*(g + 2)
Let 11*q - 6*q**2 - 3*q**3 + 4*q - 6*q = 0. Calculate q.
-3, 0, 1
Let j(k) be the second derivative of -1/6*k**3 - 1/40*k**5 + 1/2*k**2 + 0 + 3*k - 7/48*k**4. Factor j(v).
-(v + 2)**2*(2*v - 1)/4
Let i(w) be the third derivative of w**6/2160 - w**5/360 + w**4/144 - w**3 + 4*w**2. Let q(o) be the first derivative of i(o). Find x, given that q(x) = 0.
1
Let i(q) be the first derivative of q**5/15 - q**4/2 - 5*q**2/2 + 2. Let s(z) be the second derivative of i(z). Factor s(o).
4*o*(o - 3)
Let t(n) be the third derivative of -n**8/80640 - n**7/10080 - n**6/2880 + n**5/60 - n**2. Let r(l) be the third derivative of t(l). Factor r(s).
-(s + 1)**2/4
Let o(n) = -7*n**2 + 5*n + 13. Let m(x) = x**2 - x - 1. Let p(q) = 10*m(q) + 2*o(q). Solve p(h) = 0 for h.
-2, 2
Let m = -30 - 0. Let b be (-2)/5 - 27/m. Solve -3/2*v**3 + 0*v**2 + 0 + v**4 + b*v = 0.
-1/2, 0, 1
Let j be (-96)/168 - 62/(-84). Let o(h) be the second derivative of 1/20*h**5 + 1/2*h**2 + 4*h - j*h**3 - 1/12*h**4 + 0. Factor o(i).
(i - 1)**2*(i + 1)
Let g(u) = 25*u**5 + 96*u**4 + 208*u**3 + 201*u**2 + 73*u. Let m(f) = 6*f**5 + 24*f**4 + 52*f**3 + 50*f**2 + 18*f. Let x(k) = -2*g(k) + 9*m(k). Factor x(r).
4*r*(r + 1)**2*(r + 2)**2
Suppose 11 = 3*k - 4. Let g(p) be the third derivative of 1/15*p**k - 1/4*p**4 + 1/3*p**3 - p**2 + 0*p + 0. Solve g(d) = 0.
1/2, 1
Let j be (-4)/(3 - 8 - (5 + 0)). Find m such that 1/5*m**2 - j + 1/5*m = 0.
-2, 1
Let l(a) be the third derivative of -a**8/616 - a**7/105 - a**6/55 - 2*a**5/165 - 9*a**2. Let l(s) = 0. Calculate s.
-2, -1, -2/3, 0
Let p(w) be the third derivative of 0 - 1/6*w**3 + 0*w - 1/60*w**5 + 5*w**2 - 1/12*w**4. Let p(d) = 0. Calculate d.
-1
Suppose 4*r - 11 + 3 = 0. Let i(h) = 3*h**4 - h**3 - h**2 + h - 2. Let t(j) = -16*j**4 + 5*j**3 + 5*j**2 - 5*j + 11. Let b(w) = r*t(w) + 11*i(w). Factor b(m).
m*(m - 1)**2*(m + 1)
Let r(d) be the first derivative of -d**7/300 - d**6/75 - d**5/100 + d**4/30 - d**3/3 - 2. Let n(z) be the third derivative of r(z). Factor n(p).
-2*(p + 1)**2*(7*p - 2)/5
Let p = 184 + -551/3. Suppose -p*f**2 + 1/3 + 1/3*f - 1/3*f**3 = 0. Calculate f.
-1, 1
Let j(l) = -36*l**2 - 8*l. Let y(a) = 54*a**2 + 12*a. Let n(c) = -8*j(c) - 5*y(c). What is p in n(p) = 0?
-2/9, 0
Let l(k) = k - 6 + 9 - 5*k**2 - 10*k**2. Let q(s) = 8*s**2 - 2. Suppose 2*v + 15 = -7. Let r(b) = v*q(b) - 6*l(b). Factor r(a).
2*(a - 2)*(a - 1)
Let n(x) = -x**4 - 3*x**3 + 9*x**2 + 8*x. Let d(s) = -2*s**4 - 5*s**3 + 17*s**2 + 16*s + 1. Let o(b) = 3*d(b) - 5*n(b). Factor o(h).
-(h - 3)*(h + 1)**3
Solve -2/3*n**3 + 0*n**4 + 0*n + 0 + 0*n**2 + 2/3*n**5 = 0.
-1, 0, 1
Let v be -8*((-98)/(-8))/(-7). Let m be (-14)/(-98) + (-2)/v. Suppose 2/7*g**2 + m - 2/7*g = 0. Calculate g.
0, 1
Let p(d) = d + 9. Let q be p(-7). Suppose 4*n - 26 = -5*r, -2*r - n - 1 = -