+ 33 + 0*w**2 - 3*w**2 + w**4 + w**3 - w + 0*w**4.
(w - 1)**2*(w + 1)*(w + 2)
Let h(g) be the second derivative of -4*g**6/15 + 7*g**5/10 - g**4/3 - g**3/3 + 7*g. Factor h(t).
-2*t*(t - 1)**2*(4*t + 1)
Let r be (-4)/(-6) + 24/(-9). Let y be (-4)/54*42/r. What is z in -4/9 - y*z**2 + 2*z = 0?
2/7, 1
Let y(z) be the third derivative of -z**7/3360 + z**6/480 - z**5/160 + z**4/96 - 5*z**3/6 + 2*z**2. Let s(x) be the first derivative of y(x). Factor s(j).
-(j - 1)**3/4
Suppose 3*b = 14*s - 9*s - 9, -2*s = -6. Factor 1/5*q**b - 3/5 - 2/5*q.
(q - 3)*(q + 1)/5
Suppose -2*j + 10 = 2. Let m(a) be the second derivative of 0 - 1/24*a**j + 0*a**2 + 1/12*a**3 + 2*a. Determine w so that m(w) = 0.
0, 1
Let n(f) be the third derivative of -f**8/30240 + f**4/6 + 4*f**2. Let k(g) be the second derivative of n(g). Suppose k(m) = 0. Calculate m.
0
Suppose 7*p - 10*p + 18 = 0. Let w(d) be the third derivative of 0*d + 1/84*d**4 + 16/735*d**7 + 0*d**3 + 0 + 2/105*d**p - 1/30*d**5 + d**2. Factor w(u).
2*u*(u + 1)*(4*u - 1)**2/7
Let y(v) be the second derivative of 3*v + 1/22*v**4 + 1/165*v**6 + 1/33*v**3 + 0 + 3/110*v**5 + 0*v**2. What is t in y(t) = 0?
-1, 0
Let b = -3 - -5. Factor 41*p**4 - 6*p**b - 7*p**3 - 8*p**3 - 5*p**4.
3*p**2*(3*p - 2)*(4*p + 1)
Let o(j) be the third derivative of 2*j**7/105 - 2*j**5/15 + 2*j**3/3 - 11*j**2. Determine t so that o(t) = 0.
-1, 1
Solve 2*m**3 - 13 + 2*m**2 + 23 - 4 - 10*m = 0.
-3, 1
Let t be 18/10*40/6. Suppose -3*g - 3*a + 9 = -2*g, 4*a - t = -2*g. Factor g*s - 1/3*s**2 + 0 + 1/3*s**3.
s**2*(s - 1)/3
Let t(b) be the first derivative of 12*b**3 + 5 + 4*b**5 - 2*b**2 + 5 + 0 + 13*b**4 - 8*b - 2. Determine f, given that t(f) = 0.
-1, 2/5
Let b(i) be the second derivative of -i**4/12 + i**3/6 - 16*i. Suppose b(s) = 0. Calculate s.
0, 1
What is a in -1/3*a - 8/3*a**3 + 5/3*a**2 + 0 + 4/3*a**4 = 0?
0, 1/2, 1
Suppose 2*n - 8 = -f, 5*f + 2 = 5*n - 3. Let -2/5*t**5 - 4/5*t**f + 6/5*t + 6/5*t**4 - 2/5 - 4/5*t**3 = 0. What is t?
-1, 1
Let n(i) = -i**3 + 5*i**2 + i - 1. Let u be n(5). Suppose 4*f = -2*d - 0*d - 8, d = 2*f - u. Determine x so that -2/3*x**3 + f + 2/3*x**2 + 0*x = 0.
0, 1
Let s be ((-3)/24)/(4 - 45/10). What is u in -1/2*u + 1/4*u**3 - s*u**2 + 0 = 0?
-1, 0, 2
Let o = 12 + -8. Suppose 2*a + 0*p + 4*p = 24, -20 = -a - o*p. Let -2/3*q**3 + 0 + 2/3*q - 2/3*q**a + 2/3*q**2 = 0. What is q?
-1, 0, 1
Let f(m) be the second derivative of m**5/30 + m**4/9 - 14*m. Suppose f(t) = 0. Calculate t.
-2, 0
Factor 0*g - 5*g - g**2 + 7*g + 2 - 3.
-(g - 1)**2
Let l(y) be the second derivative of 0*y**2 + 0 + 1/8*y**4 - 3/40*y**5 + 1/2*y**3 - 3*y. Solve l(p) = 0.
-1, 0, 2
Let j(z) be the third derivative of z**7/1680 - z**6/240 + z**5/120 - 24*z**2. Factor j(y).
y**2*(y - 2)**2/8
Suppose 2*h - 4*v - 1 = 3, 8 = 3*h - 4*v. Suppose c - 3 = l, -l = -h*c + 7 + 5. Find t such that t - 2*t**c - 2*t**5 + 3*t**5 + 0*t**5 = 0.
-1, 0, 1
Factor -2/7 - 8/7*z**2 + 10/7*z.
-2*(z - 1)*(4*z - 1)/7
Let w(s) be the second derivative of s**6/120 + s**5/20 + s**4/24 - s**3/6 - 3*s**2/8 - 10*s. Solve w(i) = 0.
-3, -1, 1
Let g(f) = 3*f**2 + f - 2. Let u(w) = 4*w - 3 + 4 - 10 + 2*w + 15*w**2. Let i(m) = 21*g(m) - 4*u(m). Factor i(y).
3*(y - 2)*(y + 1)
Let f(d) be the first derivative of -1/9*d**3 + 1/2*d**2 - 2/3*d + 2. Suppose f(a) = 0. Calculate a.
1, 2
Let b(c) be the third derivative of c**6/60 + 5*c**2. Determine m so that b(m) = 0.
0
Let n(v) be the second derivative of 1/180*v**6 + 0 + 1/30*v**5 + 1/12*v**4 + 1/9*v**3 - 2*v + 1/12*v**2. Suppose n(z) = 0. Calculate z.
-1
Find g such that -2*g - g**5 + 2*g**2 + 336*g**3 + 4*g**4 - 341*g**3 + 2*g = 0.
0, 1, 2
Let i(j) be the third derivative of -j**8/420 - 2*j**7/525 + j**6/50 + j**5/75 - j**4/15 + 34*j**2. Find q such that i(q) = 0.
-2, -1, 0, 1
Let v(r) be the first derivative of -r**4/6 + 20*r**3/9 - 17*r**2/3 + 16*r/3 + 9. Factor v(j).
-2*(j - 8)*(j - 1)**2/3
Let a(u) be the first derivative of -1 - 2*u + 1/5*u**2 - 2/15*u**3 + 1/30*u**4. Let o(d) be the first derivative of a(d). Factor o(n).
2*(n - 1)**2/5
Let b(p) = -p**4 + 10*p**3 - 3*p**2 + p. Let g(j) = -j**3. Let y be (-5 + (0 - -2))*-3. Let d = 7 - y. Let a(u) = d*b(u) - 14*g(u). Factor a(x).
2*x*(x - 1)**3
Suppose -g - 4*r = -92, -g = -3*g - r + 212. Factor 22*p + g*p**4 + 11*p**3 - 72*p**2 - 2 + 21*p**3 + 20*p**4.
2*(p + 1)*(4*p - 1)**3
Let p(b) be the first derivative of -3*b**5/40 - b**4/4 + 3*b**3/4 + 10*b - 6. Let z(y) be the first derivative of p(y). Factor z(q).
-3*q*(q - 1)*(q + 3)/2
Factor 2/5*t**2 - 4/5*t + 0.
2*t*(t - 2)/5
Let s(u) be the second derivative of u**5/5 - 5*u**4 + 50*u**3 - 250*u**2 + 10*u. Let s(q) = 0. Calculate q.
5
Let o = -361 + 5417/15. Let g(d) be the third derivative of -1/20*d**4 + 0*d + o*d**3 - 2*d**2 + 0 + 1/150*d**5. Factor g(u).
2*(u - 2)*(u - 1)/5
Let h(i) be the second derivative of -i**5/15 + i**4/9 + 2*i**3/9 - 2*i**2/3 - 13*i. Factor h(r).
-4*(r - 1)**2*(r + 1)/3
Let x(b) be the second derivative of -b**4/8 - 11*b**3/12 - 3*b**2/2 - 4*b. Factor x(u).
-(u + 3)*(3*u + 2)/2
Suppose -2*g - 12 = -6*g. Let n be -1*2/(-2)*3. Suppose -d**3 - d**3 + g*d**n - d**5 = 0. Calculate d.
-1, 0, 1
Let v(u) be the second derivative of -u**7/420 - u**6/80 - u**5/40 - u**4/48 + 3*u**2/2 - 6*u. Let f(y) be the first derivative of v(y). Factor f(k).
-k*(k + 1)**3/2
Solve 16*a + 37*a**2 - 66*a**5 + 11*a**2 - 140*a**3 + 17*a**5 + 96*a**4 + 29*a**5 = 0 for a.
-1/5, 0, 1, 2
Let o be (-18)/(-14)*(5 - 52/12). Let o*r + 2/7*r**2 + 4/7 = 0. Calculate r.
-2, -1
Let u(q) be the second derivative of q**7/28 + q**6/15 - q**5/10 + 4*q. Factor u(t).
t**3*(t + 2)*(3*t - 2)/2
Suppose -6*j = -1 - 5. Let z(r) be the first derivative of 2*r**2 - j - 2/3*r**3 + 0*r. Factor z(s).
-2*s*(s - 2)
Factor 6/5*b**2 + 1/5*b**4 - 4/5*b + 1/5 - 4/5*b**3.
(b - 1)**4/5
Let u(l) be the third derivative of -l**6/105 - l**5/42 - l**4/84 + 33*l**2. Determine q so that u(q) = 0.
-1, -1/4, 0
Factor 7/3*u**2 - 1/3*u**3 + 4 - 16/3*u.
-(u - 3)*(u - 2)**2/3
Let n be (-4)/5 + (-232)/(-40). Let i(d) be the third derivative of -1/150*d**n + 0*d - 1/15*d**3 - 1/30*d**4 - 2*d**2 + 0. Factor i(u).
-2*(u + 1)**2/5
Let p(c) = -c**2 + 11*c - 10. Let i be p(10). Let u(j) be the second derivative of i + 2/9*j**3 + 1/18*j**4 - 3*j + 1/3*j**2. Factor u(m).
2*(m + 1)**2/3
Let x = 1/97 - -92/485. Factor -x*l - 2/5*l**2 + 0 - 1/5*l**3.
-l*(l + 1)**2/5
Let j be (6 - (-63)/(-12))*4. What is d in 2/5*d**2 + 0 - 4/5*d + 2/5*d**j = 0?
-2, 0, 1
Let x be (27/1)/((-39)/(-26)). Let z be 1/(-3) - (-6)/x. Factor 2/9*s**4 + 0*s**3 + 0*s + 0 + z*s**2.
2*s**4/9
Let d(k) be the second derivative of k**8/5880 - k**7/2940 - 2*k**3/3 + 4*k. Let t(a) be the second derivative of d(a). Factor t(f).
2*f**3*(f - 1)/7
Let u = -77 + 309/4. Let d(v) be the first derivative of 1/2*v**2 - 1 + 2*v - u*v**4 - 2/3*v**3. Solve d(q) = 0.
-2, -1, 1
Let j(p) = -3*p - 5. Let g be j(-3). Suppose -2*z = 2*z + s - 9, g*s = -3*z + 10. Find u, given that 0 + 0*u + 4/3*u**z - 2/3*u**3 = 0.
0, 2
Let b(o) be the third derivative of o**7/1440 - o**6/320 + o**5/240 + o**4/8 - o**2. Let w(z) be the second derivative of b(z). Suppose w(v) = 0. What is v?
2/7, 1
Let c = 17 + -17. Factor c - 23*g + 3*g**2 - 3 + 23*g.
3*(g - 1)*(g + 1)
Let a = 6/29 - 19/232. Let p(f) be the third derivative of 0*f + 1/6*f**3 + 1/20*f**5 + a*f**4 + 1/120*f**6 + 0 + 4*f**2. Solve p(h) = 0 for h.
-1
Let c(o) be the first derivative of -o**6/540 + o**5/360 + o**4/72 - 2*o**3/3 - 2. Let a(l) be the third derivative of c(l). Factor a(i).
-(i - 1)*(2*i + 1)/3
Factor 3/7 - 4/7*l + 1/7*l**2.
(l - 3)*(l - 1)/7
Let a(c) be the first derivative of -c**3/4 + 3*c**2/4 - 3*c/4 - 4. Determine y, given that a(y) = 0.
1
Let v be (14/(-9))/(14/(-21)). Let y(o) be the first derivative of 3 + 10/9*o**3 + v*o**2 + 4/3*o. Determine l, given that y(l) = 0.
-1, -2/5
Let y = -52 - -52. Let g(k) be the second derivative of 1/30*k**4 + 0 + 1/25*k**5 + 0*k**3 + y*k**2 + 1/75*k**6 + 2*k. Solve g(h) = 0.
-1, 0
Let z = -6 - -7. Let l(y) be the first derivative of 4/27*y**3 + 1/18*y**4 + z + 0*y + 1/9*y**2. Suppose l(o) = 0. What is o?
-1, 0
Suppose -105*b + 108*b = 0. Suppose 0*k + 0*k**2 + b - 2/13*k**3 = 0. Calculate k.
0
Let b(i) = -8. Let g(k) = -k**2 - 18. Let w(j) = -9*b(j) + 