- 2*x**2 - 6*x**4 = 0. Calculate x.
-1, 0, 1
Factor 0 + 65/3*c**3 + 10*c**4 + 20*c**2 + 20/3*c + 5/3*c**5.
5*c*(c + 1)**2*(c + 2)**2/3
Let r(m) = m**3 + m**2 - 3*m + 2. Let n be r(2). Factor -9*p**2 + 3*p**2 + n*p**2 + 2*p**3.
2*p**2*(p + 1)
Let g(x) = -6*x**2 + 5*x. Let b(f) = f**2 - f. Let z(i) = 20*b(i) + 4*g(i). Factor z(r).
-4*r**2
Let y(p) be the second derivative of 0*p**4 - 1/3*p**3 + 1/2*p**2 + 0 + 1/10*p**5 - 1/30*p**6 + 2*p. Factor y(n).
-(n - 1)**3*(n + 1)
Let s be -2 - 6/81*-28. Let t = s + 77/54. Let -15/4*c + 3*c**2 - 3/4*c**3 + t = 0. What is c?
1, 2
Let b(y) be the first derivative of y**3/6 + 8. Find v, given that b(v) = 0.
0
Let u be (-4)/(-5) - ((-40)/(-25))/(-4). Factor 2/5 + u*g**3 + 2/5*g - 2*g**2.
2*(g - 1)**2*(3*g + 1)/5
Let a(m) be the second derivative of -2*m**7/15 - 38*m**6/75 + 6*m**5/25 - 26*m. Factor a(y).
-4*y**3*(y + 3)*(7*y - 2)/5
Factor 14/3*x**3 + 10/9*x**5 + 4/9*x + 34/9*x**4 + 22/9*x**2 + 0.
2*x*(x + 1)**3*(5*x + 2)/9
Solve -17*w**5 - 2 + 2 + 12*w**5 + 20*w**4 = 0.
0, 4
Let v(l) be the second derivative of -l**5/150 + l**4/20 - 2*l**3/15 - 3*l**2/2 + 4*l. Let i(z) be the first derivative of v(z). Find f such that i(f) = 0.
1, 2
Let y(c) be the third derivative of c**8/336 + c**7/35 + 7*c**6/60 + 4*c**5/15 + 3*c**4/8 + c**3/3 + 21*c**2. What is x in y(x) = 0?
-2, -1
Let s(t) be the first derivative of 5*t**3/3 - 10*t**2 + 6. Suppose s(w) = 0. What is w?
0, 4
Let r(k) = 2*k**3 - 18*k + 4. Let l(d) = -2*d**3 + 19*d - 4. Let h(p) = 5*l(p) + 6*r(p). Let z(j) = -j**3 + 7*j - 2. Let i(f) = 4*h(f) + 7*z(f). Factor i(q).
(q - 1)**2*(q + 2)
Let x(k) be the second derivative of -k**7/42 - k**6/15 + k**4/6 + k**3/6 - 10*k. Let x(f) = 0. Calculate f.
-1, 0, 1
Factor 3*p - 3 + 2 - 4 + 3 - p**3.
-(p - 1)**2*(p + 2)
Let m be 58/6 - (-7)/(-7). Let o = m + -8. Factor -1/3*p**3 + 4/3*p**2 + o - 5/3*p.
-(p - 2)*(p - 1)**2/3
Determine c, given that -1083/4*c - 57/4*c**2 - 1/4*c**3 - 6859/4 = 0.
-19
What is f in -2/11*f**3 + 2/11*f - 2/11*f**2 + 2/11*f**4 + 0 = 0?
-1, 0, 1
Let i = -3/11 + 17/22. Let b = 25/42 + -2/21. Factor 0 - b*s**2 - i*s.
-s*(s + 1)/2
Suppose -5*u + 5*r = -35, -4*r + 7 = -0*u + u. Let f = u - 7. Factor -1/2*s**2 + f + 1/4*s**3 + 1/4*s.
s*(s - 1)**2/4
Let h(x) be the third derivative of x**6/120 + x**5/30 + x**4/24 + x**3/3 - 3*x**2. Let g be h(-2). Factor -2*o - o**3 + 2*o + g*o - o**2.
-o**2*(o + 1)
Factor 8/3 - 4/3*b**2 - 4/3*b.
-4*(b - 1)*(b + 2)/3
Let i(p) be the first derivative of p**6/8 - 9*p**5/10 + 39*p**4/16 - 3*p**3 + 3*p**2/2 + 58. Determine l so that i(l) = 0.
0, 1, 2
Let a(h) be the first derivative of -h**5/240 - h**4/96 + h**3/12 + 3*h**2/2 + 5. Let g(s) be the second derivative of a(s). Factor g(b).
-(b - 1)*(b + 2)/4
Let n(a) = -4*a - 25. Let z be n(-10). Let s = z + -15. Factor 0 + s*u + 0*u**2 - 1/5*u**3 + 1/5*u**4.
u**3*(u - 1)/5
Let t(v) = -v**4 - v**3 + v**2. Let r(q) = -q**5 + 10*q**4 - 22*q**3 + 30*q**2 - 16*q. Let u(o) = r(o) + 2*t(o). Solve u(a) = 0.
0, 2
Let w(x) be the second derivative of x**6/10 - 3*x**4/4 + x**3 - 4*x. Factor w(c).
3*c*(c - 1)**2*(c + 2)
Let h(r) be the third derivative of 1/540*r**6 + 0*r**4 + 2*r**2 + 0*r + 0 + 0*r**3 + 0*r**5. Let h(i) = 0. What is i?
0
Let o(n) = 2*n**2 - 2*n - 4. Let w(m) = -2*m**2 + m + 3. Let h be 2 + 1 + -1 + 2. Let t(l) = h*w(l) + 3*o(l). What is z in t(z) = 0?
-1, 0
Let a(f) be the third derivative of 2*f**2 + 0 + 0*f**5 + 1/300*f**6 + 0*f**3 - 1/60*f**4 + 0*f. Solve a(t) = 0.
-1, 0, 1
Let q(f) be the first derivative of 5*f**6/18 - 3*f**5/4 + 2*f**4/3 - 2*f**3/9 - 4*f - 1. Let y(k) be the first derivative of q(k). Find i, given that y(i) = 0.
0, 2/5, 1
Let w(o) be the second derivative of 4*o - 1/3*o**3 + 0 + 1/3*o**2 - 2/9*o**4. Let w(j) = 0. What is j?
-1, 1/4
Let j(y) be the third derivative of 2*y**7/105 - 2*y**5/15 + 2*y**3/3 - 2*y**2. Factor j(h).
4*(h - 1)**2*(h + 1)**2
Let t(k) be the third derivative of k**8/112 + 2*k**7/35 + k**6/20 - k**5/5 - 3*k**4/8 + 11*k**2. Suppose t(m) = 0. What is m?
-3, -1, 0, 1
Suppose 6 - 2 = 2*r. Let 2*b**r + 6 + 3 - 4*b**4 - 9 + 2*b**3 = 0. What is b?
-1/2, 0, 1
Let b be -3*2/(-6)*1. Determine n, given that 1 - 5*n**2 + 6*n**2 - n**5 - b - n**4 + n**3 = 0.
-1, 0, 1
Suppose 9 = 2*f - 1767. Let i = f - 7984/9. Suppose 8/9 - i*z + 2/9*z**2 = 0. What is z?
2
Let k(t) be the first derivative of t**4/20 - 4*t**3/15 + 2*t**2/5 + 11. Determine y so that k(y) = 0.
0, 2
Let u(i) be the first derivative of -5/6*i**2 - 2/9*i**3 - 2/3*i - 1. Find d, given that u(d) = 0.
-2, -1/2
Let k(s) be the first derivative of -14*s**6/3 - 36*s**5/5 - 2*s**4 + 19. Suppose k(h) = 0. Calculate h.
-1, -2/7, 0
Let d(s) be the first derivative of -s**4/10 + 16*s**3/15 - 16*s**2/5 - 38. Suppose d(u) = 0. What is u?
0, 4
Let v(a) = -a - 9. Let k be v(-9). Let m(x) be the first derivative of 0*x**5 + 3 + 1/3*x**6 + k*x + 0*x**3 - 1/2*x**4 + 0*x**2. Let m(r) = 0. What is r?
-1, 0, 1
Let b = -8 - -10. Factor b*r**3 - r**3 + 2*r**3.
3*r**3
Suppose -r - 4*o + 7 = 19, r - 16 = 3*o. Factor 1/2*p**3 + 0 + 0*p - 1/4*p**r - 1/4*p**2.
-p**2*(p - 1)**2/4
Let s(i) be the first derivative of -i**5 + 5*i**3/3 + 5. Determine x so that s(x) = 0.
-1, 0, 1
Let p(n) be the third derivative of -n**8/1008 + 2*n**7/315 + n**6/45 - 2*n**5/15 + 7*n**2. Let j(b) be the third derivative of p(b). Find y such that j(y) = 0.
-2/5, 2
Suppose q + 0 = -9. Let l = 12 + q. Factor y**l - y + 3/2*y**2 + 0.
y*(y + 2)*(2*y - 1)/2
Let v(o) be the second derivative of o**8/1344 + o**7/420 + o**6/480 + 7*o**2/2 + 9*o. Let l(d) be the first derivative of v(d). Let l(y) = 0. Calculate y.
-1, 0
Suppose -3*n + 8 = -2*n. Let c = 215 + -212. Determine b so that -4/7*b + n*b**c + 2/7*b**2 + 0 = 0.
-2/7, 0, 1/4
Let y be 2/(5/10 + 0). Solve -2/5*x**2 + 2/5*x**y + 0*x**3 + 0*x + 0 = 0.
-1, 0, 1
Factor 0*c**2 + 20*c - 20 + 4*c**2 - 9*c**2.
-5*(c - 2)**2
Let l be ((-10)/(-15))/(2/6). Find w such that -w - 2*w**2 + 6*w**2 - l*w**2 - w**3 = 0.
0, 1
Let a(j) = j**3 - j**2 + 5. Let g = -2 - -2. Let s be a(g). Factor -3 - p**2 - 1 + s.
-(p - 1)*(p + 1)
Let t(f) be the first derivative of -f**8/840 + f**7/70 - f**6/20 + f**3 - 3. Let j(s) be the third derivative of t(s). Find h such that j(h) = 0.
0, 3
Let n(f) = 21*f**2 - 153*f + 189. Let t(s) be the third derivative of s**5/20 - 11*s**4/12 + 9*s**3/2 + 2*s**2. Let c(p) = -4*n(p) + 27*t(p). Factor c(d).
-3*(d - 3)**2
Let x(n) be the first derivative of 1 + 0*n**2 - 1/4*n**3 + n - 1/16*n**4. Suppose x(r) = 0. What is r?
-2, 1
Let z(i) = -i**2 - i + 1. Suppose 3*t - 21 = -5*w, -2*t + 4*w + 13 = 7*w. Let p(o) = 2*o**2 - 2*o - 14. Let x(l) = t*z(l) - p(l). Factor x(b).
-4*(b - 2)*(b + 2)
Let g(o) be the second derivative of -8/3*o**4 - 3*o**3 - 1/21*o**7 - 2/5*o**6 + 0 - 2*o**2 - 3*o - 7/5*o**5. Solve g(c) = 0.
-2, -1
Let y(g) be the first derivative of 0*g + 2/3*g**3 + 2 + 0*g**2 + 1/2*g**4. Factor y(s).
2*s**2*(s + 1)
Let n = -37 - -39. Let a(i) be the second derivative of 0*i**n + 0*i**3 + 0 - 1/42*i**4 + 0*i**5 + 1/105*i**6 + 2*i. Factor a(h).
2*h**2*(h - 1)*(h + 1)/7
Let g = 2 + 0. Suppose -g*s = s. Factor 1/4*b**2 - 1/4 + s*b.
(b - 1)*(b + 1)/4
Let i = 34 - 30. Let d(w) be the first derivative of 4 + 0*w - 4/15*w**3 + 1/10*w**i + 1/5*w**2. Factor d(t).
2*t*(t - 1)**2/5
Let x(t) be the first derivative of 2*t**3/15 - 2*t**2/5 + 2*t/5 + 1. Let x(p) = 0. Calculate p.
1
Let d be (1/1)/(-1) + -5. Let t be (d/(-12))/((-10)/(-4)). Factor t*a**3 - 1/5*a**2 + 0 + 0*a.
a**2*(a - 1)/5
Factor -5 - 11 + 3*b + 2*b**4 - 22*b**2 - 39*b.
2*(b - 4)*(b + 1)**2*(b + 2)
Let o be (-2 - -1)*(0 + -25). Suppose c + 3*l = -14, 5*c + 0*c - 4*l = o. Solve m + m**3 - 1 - 2*m**2 + c = 0 for m.
0, 1
Let l(t) be the second derivative of -20/21*t**3 - 4/7*t**2 - 25/42*t**4 + 4*t + 0. Factor l(a).
-2*(5*a + 2)**2/7
Let t(s) be the second derivative of s**7/350 + s**6/200 - s**5/100 - s**4/40 - 2*s**2 + 5*s. Let u(p) be the first derivative of t(p). Factor u(d).
3*d*(d - 1)*(d + 1)**2/5
Let u = 0 + 6. Find t, given that -2*t**2 - u + 11 - 5 - t - t**3 = 0.
-1, 0
Let v(x) be the second derivative of x**8/960 + x**7/280 + x**6/360 + x**4/2 + 4*x. Let c(y) be the third derivative of v(y). Factor c(s).
s*(s + 1)*(7*s + 2)
Suppose 3*d - 3*k = 0, -11 = -3*k - 2. Le