3*q**2 + 7 = 0.
-2
Let p be 3*(-3)/(-9) - -1. Let f be (51/27 - p)*-6. Factor -2/3*q**3 - 2/3*q**4 + f*q + 0 + 2/3*q**2.
-2*q*(q - 1)*(q + 1)**2/3
Let z(y) be the third derivative of 6*y**2 + 1/360*y**6 + 0*y + 0*y**4 - 1/90*y**5 + 0*y**3 + 0. What is h in z(h) = 0?
0, 2
Let u(g) = 7*g**2 - 24*g + 8. Suppose 0 = 5*c + 15. Let x(h) = 8*h**2 - 19*h + 0*h**2 - 5*h + 8. Let m(w) = c*x(w) + 2*u(w). Solve m(n) = 0 for n.
2/5, 2
Let q(z) = 5*z**5 - 5*z**4 - 15*z**3 + 5*z**2 + 15*z - 5. Let l(c) = -5*c**5 + 4*c**4 + 16*c**3 - 6*c**2 - 15*c + 6. Let n(u) = 5*l(u) + 4*q(u). Factor n(s).
-5*(s - 1)**3*(s + 1)*(s + 2)
Let y = -7 + 3. Let l be 2/(-4)*(y + 0). Suppose -l*o**2 - 18/7*o**4 + 2/7*o + 30/7*o**3 + 0 = 0. What is o?
0, 1/3, 1
Let j(w) = 9*w**4 + 24*w**3 + 78*w**2 + 96*w + 54. Let x = 22 + -16. Let s(y) = 8*y**4 + 24*y**3 + 77*y**2 + 96*y + 53. Let q(f) = x*s(f) - 5*j(f). Factor q(h).
3*(h + 2)**4
Let g(c) be the third derivative of 6*c**2 - 1/20*c**5 + 3/8*c**4 - c**3 + 0 + 0*c. Factor g(z).
-3*(z - 2)*(z - 1)
Let a(r) be the second derivative of -r**7/735 + r**6/420 + r**2/2 - 4*r. Let u(z) be the first derivative of a(z). What is x in u(x) = 0?
0, 1
Let u**4 - 3*u**3 - 2*u**4 + 4*u**4 + 102*u**2 - 108*u**2 = 0. What is u?
-1, 0, 2
Determine j so that 40/9*j**2 - 4/3*j**3 - 10/9*j**5 + 0 - 34/9*j**4 + 16/9*j = 0.
-2, -2/5, 0, 1
Factor -1/4*g**3 + 1/4*g + 3/8*g**2 - 3/8*g**4 + 0.
-g*(g - 1)*(g + 1)*(3*g + 2)/8
Factor 15 - 25*l + 35/3*l**2 - 5/3*l**3.
-5*(l - 3)**2*(l - 1)/3
Let i(c) be the first derivative of -c**4/20 + 2*c**3/15 + c**2/10 - 2*c/5 - 22. Let i(u) = 0. Calculate u.
-1, 1, 2
Let f(a) be the second derivative of -a**8/33600 + a**7/1800 - a**6/240 + 3*a**5/200 - a**4/2 + 8*a. Let m(t) be the third derivative of f(t). Factor m(w).
-(w - 3)**2*(w - 1)/5
Let c be 4 + 5/(5/(-2)). Solve 20*w - w**2 - 4*w**3 + c*w**2 - 5*w**2 - 12*w = 0.
-2, 0, 1
Let x = 21 - 10. Find h, given that 11*h**2 - x*h**2 - h**3 = 0.
0
Let u(l) be the second derivative of l**6/360 - l**5/20 + 3*l**4/8 - l**3/3 + 3*l. Let h(g) be the second derivative of u(g). Factor h(k).
(k - 3)**2
Let o(t) be the second derivative of t**4/24 - t**3/4 + t**2/2 - 4*t. Factor o(c).
(c - 2)*(c - 1)/2
Let i(p) be the first derivative of -p**4/6 + p**3/3 + p + 3. Let k(s) be the first derivative of i(s). Suppose k(g) = 0. Calculate g.
0, 1
Let n(g) = -g**4 - g**3 - g**2 - g. Let i(b) = 3*b**5 + 6*b**4 + 12*b**3 + 24*b**2 + 15*b. Let l(m) = -i(m) - 15*n(m). Let l(o) = 0. What is o?
-1, 0, 1, 3
Let t(a) be the second derivative of -7*a + 0 + 0*a**3 + 0*a**2 + a**5 - 2/3*a**4 - 8/15*a**6 + 2/21*a**7. Factor t(i).
4*i**2*(i - 2)*(i - 1)**2
Let x(h) be the second derivative of -h**6/1440 - h**5/120 - h**4/24 + 5*h**3/6 + 8*h. Let u(m) be the second derivative of x(m). What is l in u(l) = 0?
-2
Factor 27/4*i**2 + 15/4*i**3 + 21/4*i + 3/4*i**4 + 3/2.
3*(i + 1)**3*(i + 2)/4
Let b(r) = 6*r**2 + 2. Let z(s) = -s**2 + s - 1. Let p(i) = -b(i) - 4*z(i). Let u(t) = -t**2. Let q(c) = p(c) - 4*u(c). Factor q(f).
2*(f - 1)**2
Let b be 16 + -5 + (4 - 2). Suppose -18*m = -b*m. Factor -1/2*r**4 + 1/2*r**5 - 1/2*r**3 + 1/2*r**2 + m + 0*r.
r**2*(r - 1)**2*(r + 1)/2
Let c(j) be the third derivative of -j**5/30 - j**4/4 - 20*j**2. Factor c(x).
-2*x*(x + 3)
Factor -19/6*y**3 - 1/6*y + 5/2*y**2 - 1/3 + 7/6*y**4.
(y - 1)**3*(7*y + 2)/6
Let t be 7/2 - (-2 - (-98)/28). Factor 1/3*k - 1/3*k**t + 0.
-k*(k - 1)/3
Suppose 5*g + 5*q - q = 53, -10 = -5*q. Let c be 15/g - 2/3. What is d in -c - 4*d**4 + 2*d**3 + 5*d**4 + 0*d**4 - 2*d = 0?
-1, 1
Let j(q) be the first derivative of 3/2*q**2 - 1/36*q**4 - 2/9*q**3 + 4 + 0*q + 1/90*q**5. Let z(u) be the second derivative of j(u). Factor z(s).
2*(s - 2)*(s + 1)/3
Factor 5*h**5 + 5*h**4 - 25*h**2 + 6*h**3 - 10*h + 0*h**4 - 5*h**3 - 16*h**3.
5*h*(h - 2)*(h + 1)**3
Let n(l) = l**3. Let v(t) = 4*t**3 + 2*t**2. Let u(k) = -6*n(k) + v(k). Factor u(d).
-2*d**2*(d - 1)
Let d = 104 + -1247/12. Let i(o) be the first derivative of 0*o + 0*o**2 - 3/10*o**5 - d*o**6 - 3/8*o**4 - 1/6*o**3 + 3. Factor i(m).
-m**2*(m + 1)**3/2
Let a = 2/25 - -21/50. Factor a*w**2 - w + 1/2.
(w - 1)**2/2
Let j(d) = -2*d - 4. Let m(y) = 5*y + 7. Let x(h) = 9*j(h) + 4*m(h). Let o be x(6). Factor 5*p**5 + 0*p**5 + p**4 - o*p**5.
p**4*(p + 1)
Let i(b) be the second derivative of -b**5/50 + b**4/15 - b**3/15 - 5*b. Determine h so that i(h) = 0.
0, 1
Let r(i) be the third derivative of i**8/672 + i**7/210 - i**6/240 - i**5/60 - 15*i**2. Factor r(l).
l**2*(l - 1)*(l + 1)*(l + 2)/2
Let f = 17 + -13. Let -84*d**2 - 80*d + 2 - f*d**3 + 30*d**4 - 18 - 2*d**4 + 12*d**3 = 0. Calculate d.
-1, -2/7, 2
Let l(r) be the first derivative of -3/2*r**4 + 2/5*r**5 + 3*r**2 + 2/3*r**3 + 1 - 4*r. Factor l(b).
2*(b - 2)*(b - 1)**2*(b + 1)
Let k(u) be the first derivative of -u**6/40 + 11*u**5/180 - u**4/36 + 5*u**2/2 - 1. Let r(l) be the second derivative of k(l). Factor r(d).
-d*(d - 1)*(9*d - 2)/3
Let i be (6/((-108)/(-6)))/((-3)/(-18)). What is w in -2/9*w**i + 0 + 0*w = 0?
0
Let j(w) be the second derivative of w**7/210 - w**6/60 - w**5/20 + w**4/6 + 2*w**3/3 - 3*w**2/2 - 3*w. Let k(p) be the first derivative of j(p). Factor k(f).
(f - 2)**2*(f + 1)**2
Let f be 2/4*-2 + 4. Factor -f*u + 3*u**2 - 4*u**2 + 0*u**2 + 4*u.
-u*(u - 1)
Let l be ((-4)/(-3))/(10/30). Let s(v) be the third derivative of 1/60*v**5 + 0*v**3 + 0*v - 1/24*v**l - v**2 + 0. Factor s(r).
r*(r - 1)
Let d(h) = -h**3 - 7*h**2 - 6*h + 6. Let b be d(-7). Let o = b - 189/4. Factor -3/2 + o*c**3 + 15/4*c - 3*c**2.
3*(c - 2)*(c - 1)**2/4
Let d(h) = -7*h**2 - h - 9. Let w(n) = -8*n**2 - 10. Let q(a) = -6*d(a) + 5*w(a). Factor q(i).
2*(i + 1)*(i + 2)
Let p(f) be the first derivative of f**8/840 - f**7/70 + f**6/20 + f**3/3 - 3. Let h(i) be the third derivative of p(i). Let h(r) = 0. What is r?
0, 3
Let h = -6 + 9. Suppose -5*t - 2*s + 33 = -4*s, s + 24 = 4*t. Find i such that -i**3 + t*i**4 + 3*i**3 - 4*i**5 - 3*i**h = 0.
0, 1/4, 1
Let h(f) = f**2 + 2. Let u be 14/70 + 1/(-5). Let p be h(u). Suppose 0 + 0*z**3 + 1/5*z**4 + 0*z - 1/5*z**p = 0. What is z?
-1, 0, 1
Let z(w) = -1 - w + 0 + 0*w. Let g(t) be the second derivative of t**5/20 - 4*t**3/3 - 7*t**2/2 + 8*t. Let x(s) = -g(s) + 5*z(s). Factor x(y).
-(y - 2)*(y + 1)**2
Let y(u) = -u**2 + 3*u + 1. Let m be y(2). Let s(o) be the first derivative of -1/6*o**4 + 2 + 2/3*o**2 + 4/3*o + 1/15*o**5 - 1/3*o**m. Factor s(v).
(v - 2)**2*(v + 1)**2/3
Let k(s) be the third derivative of s**7/8820 - s**6/420 + 3*s**5/140 + s**4/4 + s**2. Let g(q) be the second derivative of k(q). Suppose g(w) = 0. What is w?
3
Let h(a) = -a**3. Let r(b) = b**2 + 7*b + 7. Let v be r(-5). Let f(p) = 5*p**3 + 2*p**2 - p. Let c(d) = v*f(d) - 6*h(d). Solve c(o) = 0.
-1, 0, 1/3
Let d(u) = 4*u + 9. Let r(o) = 1. Let v(m) = -d(m) + 4*r(m). Let w be v(-4). Factor w*i**2 + 14*i + 4 + 5/2*i**3.
(i + 2)**2*(5*i + 2)/2
Suppose -13 - 12*b - b**2 - 14 - b**2 + 9 = 0. What is b?
-3
Let j be (6/4)/((-8)/(-16)). Find q such that 91*q + 22 + 124*q**2 - 3 - 140*q**4 - 3*q - 3 - 50*q**5 - 38*q**j = 0.
-2, -1, -2/5, 1
Suppose 1/4*c**2 + 1/2 - 3/4*c = 0. What is c?
1, 2
Let l(g) be the second derivative of -g**6/75 - g**5/50 + 3*g**4/10 - 11*g**3/15 + 4*g**2/5 + 9*g. Solve l(a) = 0 for a.
-4, 1
Suppose -26*z**2 + 14*z**2 + 18*z**2 - 9*z**3 + 0*z**3 = 0. What is z?
0, 2/3
Let r(p) be the first derivative of p**6/27 - 8*p**5/45 + 2*p**4/9 + 4*p**3/27 - 5*p**2/9 + 4*p/9 - 7. Factor r(h).
2*(h - 2)*(h - 1)**3*(h + 1)/9
Let f(i) = 9*i**4 - 9*i**3 + i**2 + 4*i + 5. Let z(k) = 8*k**4 - 8*k**3 + 4*k + 4. Let r(j) = -4*f(j) + 5*z(j). Find s, given that r(s) = 0.
-1, 0, 1
Find u such that -2/11*u**4 + 4/11*u**2 - 2/11 - 2/11*u + 4/11*u**3 - 2/11*u**5 = 0.
-1, 1
Let j(t) = t**3 - 3*t**2 + 5*t - 2. Let w be j(-5). Let u = 2045/9 + w. Solve 0 + u*v - 2/9*v**4 - 2/9*v**3 + 2/9*v**2 = 0.
-1, 0, 1
Let l(t) = -t**2 + t + 3. Let n be l(4). Let u = n + 13. Suppose 6/5*p**2 + 2/5*p - 2/5*p**3 - 4/5 - 2/5*p**u = 0. Calculate p.
-2, -1, 1
Let h(v) be the first derivative of -v**4 + 4. Suppose h(r) = 0. Calculate r.
0
Let a be (5 + 6/(-2))*1. Determine j, given that -2*j + 16*j**3 + a*j + 2*j**5 + 10*j**4 - 4*j**2 + 12*j**2 = 0.
-2, -1, 0
Factor 58/3*a**2 + 26*a + 2/3*a**4 + 12 + 6*a**3.
2