- s**3 + k*s**2 = 0?
-1, 0, 1/3, 1
Let j(z) be the first derivative of -z**6/33 - 6*z**5/55 - 3*z**4/22 - 2*z**3/33 + 2. Factor j(t).
-2*t**2*(t + 1)**3/11
Let i = 646 - 1934/3. Factor 4/3 + 4/3*t**5 - 8/3*t**2 + 4/3*t - 8/3*t**3 + i*t**4.
4*(t - 1)**2*(t + 1)**3/3
Let v(g) be the first derivative of -g**4/30 + 2*g**3/5 - 9*g**2/5 - 7*g - 6. Let y(k) be the first derivative of v(k). Factor y(c).
-2*(c - 3)**2/5
Let n(x) be the second derivative of x**4/12 + x**3/6 + 13*x. What is j in n(j) = 0?
-1, 0
Let z(u) be the third derivative of u**7/840 - u**6/360 - u**3/3 - 4*u**2. Let c(y) be the first derivative of z(y). Let c(o) = 0. What is o?
0, 1
Let l(q) be the third derivative of -q**5/75 + 2*q**4/15 - 8*q**3/15 - 14*q**2. Factor l(g).
-4*(g - 2)**2/5
Let c = -12 - -9. Let g = c + 3. Factor g + 1/4*l**2 + 0*l.
l**2/4
Factor 2*l**2 - 24*l + 24*l.
2*l**2
Let h be 64/28 - 6/21. Let r(n) = -2*n. Let a be r(-2). Factor 3*b**3 - b**2 - 2*b + 3*b**h - 2*b**a - b**3.
-2*b*(b - 1)**2*(b + 1)
Factor -15/4 + 3/4*h**2 + 1/4*h**3 - 13/4*h.
(h - 3)*(h + 1)*(h + 5)/4
Let u(h) be the first derivative of 3*h**6/5 - 21*h**5/5 + 61*h**4/6 - 28*h**3/3 + 4*h**2 - 6*h - 1. Let a(n) be the first derivative of u(n). Factor a(r).
2*(r - 2)**2*(3*r - 1)**2
Let s(q) be the second derivative of -q**6/15 + q**5/10 + q**4/2 - 5*q**3/3 + 2*q**2 + 12*q. Find g, given that s(g) = 0.
-2, 1
Let z(w) be the third derivative of -w**5/300 + w**4/120 + w**3/5 + 50*w**2. Factor z(i).
-(i - 3)*(i + 2)/5
Let g(t) = -t**2 + 4*t + 3. Let l(p) = 4*p**2 - 13*p - 10. Let s(d) = 7*g(d) + 2*l(d). Factor s(w).
(w + 1)**2
Factor -8/5*h**2 + 2/5*h + 0 + 6/5*h**3.
2*h*(h - 1)*(3*h - 1)/5
Let q be (3 - -1)/(-4)*0. Let y(a) be the second derivative of q*a**3 + 1/12*a**4 - 3/10*a**5 + 3/10*a**6 - a + 0*a**2 + 0. What is u in y(u) = 0?
0, 1/3
Let h(l) be the third derivative of -l**7/7560 + l**6/540 - l**5/90 - l**4/8 + l**2. Let d(o) be the second derivative of h(o). Factor d(u).
-(u - 2)**2/3
Let z = 158276/9 - 17562. Factor -8*v**2 - 28*v**4 + z*v**3 + 98/9*v**5 + 0 + 8/9*v.
2*v*(v - 1)**2*(7*v - 2)**2/9
Let g(w) be the second derivative of w**6/75 + w**5/10 + 3*w**4/10 + 7*w**3/15 + 2*w**2/5 + 11*w. Factor g(m).
2*(m + 1)**3*(m + 2)/5
Let z(h) be the third derivative of h**8/23520 - h**7/17640 + h**5/30 + 4*h**2. Let x(r) be the third derivative of z(r). Factor x(b).
2*b*(3*b - 1)/7
Let k(s) = -s + 8. Let n(r) = r - 9. Let u(q) = 7*k(q) + 6*n(q). Let p be u(-2). Factor -3*v**3 + 2*v - 2*v**p + v**3 + 0*v**4 + 0*v + 2*v**2.
-2*v*(v - 1)*(v + 1)**2
Let c = 3 - 0. Suppose o = 5*m - 2*o - 32, 20 = 2*m - c*o. Factor -3*x**2 + 2*x + m*x + 0*x**2.
-3*x*(x - 2)
Let r(n) be the second derivative of 2*n**6/15 - 2*n**4/3 + 2*n**2 - 6*n. Factor r(u).
4*(u - 1)**2*(u + 1)**2
Let a be (4 + (-52)/9)/((-4)/6). Solve 18 + 12*l**2 - a*l**3 - 24*l + 2/9*l**4 = 0 for l.
3
Let y(l) = l**2 - 1 + 0*l + 0*l - l. Let q be y(-2). Solve -6*c**2 + 2*c**q + 4*c**2 + 0*c**5 - 6*c**4 + 6*c**3 + 0*c**5 = 0.
0, 1
Factor -121*j**4 - 4 + 14 - 15*j + 15*j**3 - 5*j**2 + 116*j**4.
-5*(j - 2)*(j - 1)**2*(j + 1)
Let d(f) be the third derivative of f**7/1260 - f**6/360 + f**4/24 + 3*f**2. Let r(l) be the second derivative of d(l). Factor r(i).
2*i*(i - 1)
Let q(s) = -s**2. Let j(t) = -6*t**2 + 3*t - 2. Let z(y) = j(y) - 5*q(y). What is v in z(v) = 0?
1, 2
Suppose -3*u - 14 = -50. Suppose -9*i - 2*i + u*i**2 + 2*i - 1 - 2 = 0. Calculate i.
-1/4, 1
Let w(k) be the third derivative of k**5/15 + 5*k**4/3 + 50*k**3/3 + 16*k**2. Let w(a) = 0. What is a?
-5
Let y(t) = -4*t**3 + 7*t**2 - 2*t - 1. Suppose -12 = -u - 10. Let o(k) = k**3 - 2*k**2 + k. Let n(i) = u*y(i) + 7*o(i). Factor n(r).
-(r - 1)**2*(r + 2)
Let a = 577/90 - 29/18. Let -4/5*h**2 + a*h - 36/5 = 0. What is h?
3
Let x be (8/(-8))/(2/(-4)). Let 2*m**x + 3 - 5 + 4*m - 4 = 0. Calculate m.
-3, 1
Factor w**3 + 0*w**2 + 9 + 0*w**2 + 3*w - 8*w**2 + 3*w**2.
(w - 3)**2*(w + 1)
Let o = 13 - 14. Let t(h) = -h**3 - h**2. Let u(v) = -21*v**2 + 4 + v + 0*v + 2 + 6*v**4 + 2*v. Let l(d) = o*u(d) + 3*t(d). Let l(n) = 0. What is n?
-2, -1/2, 1
Let u(z) be the third derivative of z**7/315 - z**6/90 + z**5/90 + 21*z**2. Factor u(w).
2*w**2*(w - 1)**2/3
Determine c so that 50/13*c**3 + 22/13*c + 16/13*c**4 + 54/13*c**2 + 2/13 = 0.
-1, -1/8
Let h be 4 - 382/(-192)*-2. Let i(s) be the second derivative of 0 + 1/24*s**3 - h*s**4 + s + 0*s**2. Factor i(n).
-n*(n - 1)/4
Let o = -38 + 38. Let l(p) be the third derivative of 1/120*p**4 + 1/15*p**3 + 0*p + o - 2*p**2 - 1/300*p**5. Determine b so that l(b) = 0.
-1, 2
Let u = 22 + -22. Factor 17*m**3 + 21*m**2 + 2 + 5*m**4 + 14*m - 3*m + u*m.
(m + 1)**3*(5*m + 2)
Let r(n) be the first derivative of 3*n**3 + 6*n**2 + 3*n - 8. Let r(b) = 0. Calculate b.
-1, -1/3
Let n be 2/(-4)*(-10)/35. Let m(q) be the first derivative of 0*q**5 + 2 - 1/21*q**6 + n*q**4 + 0*q + 0*q**3 - 1/7*q**2. Suppose m(i) = 0. What is i?
-1, 0, 1
Let i = 5 + 2. Let k(l) be the third derivative of 1/60*l**6 + 1/60*l**5 + l**2 + 1/210*l**i + 0*l**3 + 0*l + 0*l**4 + 0. Solve k(h) = 0.
-1, 0
Let i(t) = -4*t**3 - 8*t**2 + 5*t - 1. Let q(z) = 3*z**3 + 7*z**2 - 4*z. Let f(r) = -4*i(r) - 5*q(r). What is b in f(b) = 0?
-1, 2
Let k(g) = 20*g**2 + 60*g + 50. Let j(x) = -61*x**2 - 180*x - 150. Let z(l) = 4*j(l) + 14*k(l). Factor z(o).
4*(3*o + 5)**2
Let o(y) be the second derivative of -y**5/60 - y**4/24 + y**3/3 + 11*y**2/2 - 9*y. Let x(p) be the first derivative of o(p). Determine c so that x(c) = 0.
-2, 1
Let z(x) be the third derivative of -x**6/40 - x**5/5 - 5*x**4/8 - x**3 - 25*x**2. Factor z(d).
-3*(d + 1)**2*(d + 2)
Determine y so that 2 - 5 + 0*y**2 - 4*y**2 + 13*y = 0.
1/4, 3
Let a(v) be the first derivative of -3*v**4/2 - v**3 + 6*v**2 + 9*v + 4. Factor a(i).
-3*(i + 1)**2*(2*i - 3)
Let n = 3 - -3. Suppose n*r**2 + 2*r**3 - 4 - 4*r + 2*r + 0 - 2*r**2 = 0. Calculate r.
-2, -1, 1
Let g(q) be the first derivative of 0*q**4 + 0*q**2 + 3/5*q**5 + 4 - q**3 + 0*q. What is l in g(l) = 0?
-1, 0, 1
Let x(p) be the third derivative of 0*p - 1/16*p**4 + 1/6*p**3 + 0 + 0*p**5 + 1/240*p**6 - 3*p**2. Factor x(w).
(w - 1)**2*(w + 2)/2
Let l = 9 - 7. Suppose 4*u = 2*t + u, 0 = l*t - u. Let t - 2/3*k**5 + 2/3*k**4 + 0*k**3 + 0*k + 0*k**2 = 0. What is k?
0, 1
Solve -m**4 - 33*m**3 + 31*m**3 + 2*m**5 - 2*m**4 + m**4 + 2*m**2 = 0 for m.
-1, 0, 1
Let i(h) be the first derivative of 0*h**2 + 0*h + 3/4*h**4 + 1/3*h**3 + 3/5*h**5 + 1/6*h**6 - 3. Factor i(w).
w**2*(w + 1)**3
Suppose 0*x + x = 27. Let y be (-6)/x - 29/(-9). Find w, given that -2*w - 5/2*w**y + 0 - 8*w**2 + 25/2*w**4 = 0.
-2/5, 0, 1
Suppose 10 = -5*r + 5*i, 2*i + 0 - 14 = -3*r. Factor r*f**2 + 3*f - f - 2*f - 2.
2*(f - 1)*(f + 1)
Let h(b) be the first derivative of -b**8/560 + 3*b**7/280 - b**6/60 - 7*b**3/3 - 6. Let y(m) be the third derivative of h(m). Solve y(t) = 0.
0, 1, 2
Suppose -2*a = -2*n + 10, 3*n + 5*a = n - 11. Factor -3 - 1 + x**2 + 2*x + 3 - n*x**2.
-(x - 1)**2
Let g(q) be the first derivative of 3*q**4/4 + 2*q**3 + 3*q**2/2 + 3. Suppose g(k) = 0. What is k?
-1, 0
Let d(t) be the second derivative of 1/30*t**5 + 0 - 5*t - 1/9*t**3 + 1/9*t**4 - 2/3*t**2. Solve d(a) = 0.
-2, -1, 1
Suppose -18 = -59*l + 50*l. Suppose -4/3*u + l*u**2 + 0 = 0. Calculate u.
0, 2/3
Let i(j) = 3*j - 1. Let r be i(1). Suppose -3 = r*a - s, -a - s + 6 = s. Factor -4/11*f**2 + 0*f + a - 2/11*f**3.
-2*f**2*(f + 2)/11
Factor 61*q + 32*q**3 - 65*q + 10*q**2 - 2 + 2 + 18*q**4.
2*q*(q + 1)**2*(9*q - 2)
Let p = -32 - -129/4. Factor 0*o**3 + 1/2*o**4 + 0 + 1/4*o**5 - p*o - 1/2*o**2.
o*(o - 1)*(o + 1)**3/4
Find b such that -b**2 + 2*b**2 - 4*b**2 + 6*b = 0.
0, 2
Let p be 4/(-10) - (-13)/20. Let z be 5 - ((-19)/(-4))/1. Solve p*w**3 + 0*w + z*w**2 + 0 = 0 for w.
-1, 0
Let o(n) be the third derivative of n**8/5880 + 5*n**3/6 + 3*n**2. Let x(w) be the first derivative of o(w). Factor x(k).
2*k**4/7
Let s(c) be the third derivative of 5*c**8/112 - 11*c**7/70 + 7*c**6/40 - c**5/20 + 8*c**2. Suppose s(z) = 0. What is z?
0, 1/5, 1
Find h, given that 0*h + h - 5*h**2 - 2*h**2 + 2*h = 0.
0, 3/7
Suppose 117*v = 122*v. Find m such that 1/4 + v*m - 1/4*m**2 = 0.
-1, 1
Let f(g) = g**2 - 8*g + 15. Let q be f(6). Let h be 8/7*(1/4 - 0). Factor 2/7 + 6/7*v**2 - h*v**q - 6/7*v.
-2*(v -