80 + c**7/280 - 3*c**6/160 - c**4/12 + 7*c**2. Let b(r) be the second derivative of h(r). Factor b(s).
-3*s*(s - 3)**2/2
Suppose 0 = -2*d - 3 + 11. Let r be -1 - (2 + 6/(-2)). Determine u so that -1/5 + 2/5*u**3 - 2/5*u + 1/5*u**d + r*u**2 = 0.
-1, 1
Let o be (-45)/(-21) - (-7)/(-49). Let c(q) be the second derivative of -o*q + 0 - 1/4*q**4 - 6*q**2 + 2*q**3. Let c(a) = 0. What is a?
2
Let n(z) be the third derivative of z**8/840 - z**7/105 + z**6/45 + z**3/6 - z**2. Let d(c) be the first derivative of n(c). Factor d(x).
2*x**2*(x - 2)**2
Let x be 4/2 - (-1 + 1 - 4). Let h(a) be the second derivative of a + 8/3*a**3 - 9/7*a**7 + 9/5*a**x + 9/5*a**5 + 0*a**2 + 0 - 14/3*a**4. Factor h(u).
-2*u*(u + 1)*(3*u - 2)**3
Let n(r) be the first derivative of 0*r**2 + 0*r + 2 - 2/45*r**3. Suppose n(k) = 0. Calculate k.
0
Let h(p) be the third derivative of -1/150*p**6 + 9*p**2 + 1/30*p**4 + 0*p + 0 - 2/525*p**7 + 1/75*p**5 + 0*p**3. Factor h(n).
-4*n*(n - 1)*(n + 1)**2/5
Let v(z) = -4*z**2 + 2*z. Let s(f) = -f**3 + 21*f**2 - 11*f. Let x(a) = -a**3 + 3*a**2 + 2. Let o be x(3). Let u(y) = o*s(y) + 11*v(y). Factor u(i).
-2*i**2*(i + 1)
Let -24*z**5 + 49*z**5 - 65*z**4 - 30*z**3 + 100*z**2 + 5*z + 35*z = 0. What is z?
-1, -2/5, 0, 2
Let 0*s + 7*s**4 - 4*s + 4*s**3 + 4*s**2 - 11*s**4 + 0*s**2 = 0. Calculate s.
-1, 0, 1
Let x = 59 + -53. Let n(l) = 2*l**3 - 6*l**2 + 6. Let i(q) = q**2 - 1. Let h = 0 - -1. Let p(a) = h*n(a) + x*i(a). Factor p(y).
2*y**3
What is r in 52/3*r**2 - 4 - 10/3*r + 56/3*r**4 + 10/3*r**5 + 32*r**3 = 0?
-3, -1, 2/5
Let 32*q**2 + 0 + 78*q**3 + 4*q - 175/4*q**5 + 40*q**4 = 0. What is q?
-2/5, -2/7, 0, 2
Let t = 25 - 19. Let w be (-9)/6*(-8)/t. Suppose 2/9*y**w + 0 + 0*y = 0. Calculate y.
0
Let v(r) be the first derivative of -2*r**3/3 + 8*r - 5. Suppose v(k) = 0. Calculate k.
-2, 2
Determine h so that -4 + 4/3*h + 4*h**2 - 4/3*h**3 = 0.
-1, 1, 3
Let -3/5*g**2 + 3/5*g**3 - 3/5*g + 3/5 = 0. What is g?
-1, 1
Let r(n) be the second derivative of -2/5*n**2 - 4*n - 7/30*n**4 + 3/5*n**3 + 0. Let r(d) = 0. What is d?
2/7, 1
Let k(c) be the third derivative of 0*c - 4*c**2 + 0 - 1/720*c**6 + 0*c**5 + 1/144*c**4 + 0*c**3. Solve k(q) = 0.
-1, 0, 1
Let l(h) = -h**3 + 10*h**2 + 4*h + 3. Let j be l(8). Let d = 1143/7 - j. Find m such that 2/7 + 0*m - d*m**2 = 0.
-1, 1
Let a = 35/27 - -10/27. Let o = -20/51 - -18/17. Factor h**4 + 0*h + 0 + a*h**3 + o*h**2.
h**2*(h + 1)*(3*h + 2)/3
Let w(g) = -14*g**2 - 5*g - 3. Suppose d + 4 + 0 = 0. Let b(u) = 5*u**2 + 2*u + 1. Let l(m) = d*w(m) - 11*b(m). Factor l(p).
(p - 1)**2
Let y be -4 + 18/16*4. Factor -3/2*l**2 - 3/2*l - y - 1/2*l**3.
-(l + 1)**3/2
Let g = 8 + -3. Suppose 3*t - 26 + g = 0. Determine s so that 2*s**5 - 3*s**2 - 4*s**3 - 2*s**4 + 0*s + 2*s + t*s**2 - 2 = 0.
-1, 1
Let i(g) = 21*g**3 - 15*g**2. Let z(k) = 21*k**3 - 15*k**2 - k. Let v(a) = -5*i(a) + 6*z(a). Determine s, given that v(s) = 0.
-2/7, 0, 1
Let t(n) be the first derivative of -n**4/4 + 2*n**3/3 + n**2/2 - 2*n - 5. Factor t(p).
-(p - 2)*(p - 1)*(p + 1)
Let f(o) = 3*o**3 + 3*o**2 - 7*o + 4. Let d(u) = -u**4 - u**3 - u. Let q(a) = d(a) + f(a). Factor q(r).
-(r - 2)*(r - 1)**2*(r + 2)
Let x(f) be the second derivative of -3*f + 0 - 3/10*f**5 + 0*f**3 + 1/14*f**7 + 1/10*f**6 + 0*f**2 + 0*f**4. Determine i so that x(i) = 0.
-2, 0, 1
Let a(t) be the third derivative of -2*t**7/105 - t**6/6 + 7*t**5/15 + 5*t**4/6 - 4*t**3 + 4*t**2 + 4. Solve a(s) = 0.
-6, -1, 1
Let l(y) be the third derivative of -y**5/30 + y**4/12 + 2*y**3/3 + 5*y**2. Factor l(c).
-2*(c - 2)*(c + 1)
Let n(k) be the second derivative of k**6/480 + k**5/160 + k**3/2 + 2*k. Let t(o) be the second derivative of n(o). What is q in t(q) = 0?
-1, 0
Let r(v) = -5*v**4 + 4*v**3 - 2*v**2 + 3*v. Let w(k) = 4*k**4 - 4*k**3 + 2*k**2 - 2*k. Let t(h) = 2*r(h) + 3*w(h). Factor t(j).
2*j**2*(j - 1)**2
Let h(t) be the third derivative of -t**6/24 - t**5/12 - 9*t**2. Let h(z) = 0. What is z?
-1, 0
Let m = 8 + -4. Let l = 20 - 16. Factor -c**4 - 6*c**2 + l*c - 6 + 3 + m*c**3 + 2.
-(c - 1)**4
Let o(u) be the second derivative of 3*u + 0 - 1/42*u**4 + 0*u**3 + 1/7*u**2. Find r such that o(r) = 0.
-1, 1
Determine b so that 10*b + 33 + 33 - 10*b**3 - 14*b**2 + 0*b**4 - 54 + 2*b**4 = 0.
-1, 1, 6
Determine h so that 1/3*h**4 + 0 - 1/3*h**2 + 4/3*h - 4/3*h**3 = 0.
-1, 0, 1, 4
Suppose -3*i + 9 = -4*p, 3 = 3*i - 5*p - 3. Let a = 10 - i. Factor 1/3*g**5 + 0 - 1/3*g**2 + 2/3*g - g**a + 1/3*g**4.
g*(g - 1)**2*(g + 1)*(g + 2)/3
Let q(o) = -o**2 + o + 2. Let i(z) = 5*z**2 - 4*z - 7. Let c(p) = -2*i(p) - 9*q(p). Let k(v) = v**2 + 2*v + 4. Let g(f) = -2*c(f) - 3*k(f). Factor g(t).
-(t + 2)**2
Suppose 8 = -t + 5*t. Solve -1/5*b**t + 2/5*b**3 - 2/5*b + 1/5 = 0.
-1, 1/2, 1
Let t(o) = 4*o**2 + 5*o + 3. Let y(p) = -p**2 + p. Let h(q) = -t(q) - y(q). Factor h(g).
-3*(g + 1)**2
Let v(c) be the third derivative of c**7/105 - c**6/60 - 2*c**5/15 + c**4/3 + 20*c**2. Solve v(s) = 0 for s.
-2, 0, 1, 2
Let n(m) = 2*m**2 - 12*m + 4. Let o(p) = -2*p**2 + 13*p - 3. Let w(r) = -5*n(r) - 4*o(r). Let w(q) = 0. What is q?
2
Let v(g) be the third derivative of 5*g**9/3024 - g**8/504 + g**7/1260 + g**5/15 - 4*g**2. Let a(f) be the third derivative of v(f). Let a(d) = 0. What is d?
0, 1/5
Let n = -109/2 + 56. Factor -3*p**3 - 3/2 - 3/2*p**4 + n*p**5 + 3/2*p + 3*p**2.
3*(p - 1)**3*(p + 1)**2/2
Let c = 8251/30 + -275. Let r(z) be the second derivative of c*z**6 + z + 1/60*z**5 + 0*z**3 + 0*z**2 + 1/63*z**7 + 0*z**4 + 0. Factor r(d).
d**3*(d + 1)*(2*d + 1)/3
Let j(a) be the first derivative of 5*a**3/3 - a**2 - a - 1. Let s(w) = -w**2 - 4*w**2 + 4*w**2. Let b(v) = -j(v) - 6*s(v). Factor b(i).
(i + 1)**2
Let k(u) be the first derivative of -u**4/2 + 3*u**2 + 4*u - 15. Suppose k(h) = 0. Calculate h.
-1, 2
Let l(x) be the third derivative of x**6/960 + x**5/160 + x**4/96 + 20*x**2. Factor l(g).
g*(g + 1)*(g + 2)/8
Let f be 7 - (-2 + 3)/1. Suppose y = -y + f. Factor -z**y + 2 + 2*z**2 - 1 - 3*z + z**2.
-(z - 1)**3
Let z(j) be the second derivative of 2*j**7/21 - 4*j**6/15 - 11*j. Factor z(x).
4*x**4*(x - 2)
Let g = -20 - -6. Let y = -12 - g. Factor -1/4*r + 0 + 1/4*r**4 - 3/4*r**3 + 3/4*r**y.
r*(r - 1)**3/4
Let u be (-156)/13*2/(-42). Factor -2/7*n + 0 + u*n**2.
2*n*(2*n - 1)/7
Determine r, given that -12/5*r + 2/5*r**2 + 2 = 0.
1, 5
Let d be (1/(-9))/((-2)/(18/3)). Let h(j) be the second derivative of d*j**3 - 1/6*j**4 + 4*j + 0*j**2 + 0. Factor h(t).
-2*t*(t - 1)
Let h(q) be the third derivative of -1/4*q**4 + 1/20*q**5 - 3/2*q**3 + q**2 + 0 + 0*q. Solve h(c) = 0 for c.
-1, 3
Suppose 5*o - 23 = -0*f + 4*f, -4*f - 8 = 0. Let w(g) = -g + 10. Let b be w(8). Suppose 6 + m**o - 3*m**b + m**4 - 4 - 5*m + 4*m = 0. Calculate m.
-2, -1, 1
Let l(n) be the third derivative of 2*n**2 + 0*n + 0*n**3 - 1/6*n**4 + 0 - 1/30*n**5. Determine y so that l(y) = 0.
-2, 0
Suppose -3 = f + 3. Let d = f - -6. Factor 2 - v**2 + d + 4*v + 3*v**2.
2*(v + 1)**2
Let u(v) be the first derivative of 5*v**3/3 + 5*v**2/2 - 10*v - 7. Solve u(h) = 0 for h.
-2, 1
Determine p, given that -4*p**3 + 0 + 0*p - 2*p**2 - 1/2*p**5 - 5/2*p**4 = 0.
-2, -1, 0
Suppose 76 = 4*l + 4. Suppose l = 5*u + 3*m, -4*u - 5*m + 24 - 7 = 0. Solve -3*y**2 + 3*y + 3*y**2 - 6*y**2 + u*y**3 = 0.
0, 1
Let o(h) be the second derivative of -4*h**6/15 + 7*h**5/50 + 11*h**4/30 + 2*h**3/15 + h. Solve o(k) = 0 for k.
-2/5, -1/4, 0, 1
Let u(c) = c**2 - 3*c + 1. Let l(h) = -2*h + 1. Let m(z) = -z**3 + 6*z**2 + z - 3. Let j be m(6). Let x(w) = j*u(w) - 5*l(w). Solve x(o) = 0.
-1, 2/3
Let l = -95 + 98. Factor 2/9 + 2/9*c**l - 2/9*c - 2/9*c**2.
2*(c - 1)**2*(c + 1)/9
Let a be (1/(-4))/(-15 + 14). Let s(d) be the first derivative of 1/5*d**5 + a*d**4 + 0*d**2 + 0*d + 2 + 0*d**3. Let s(u) = 0. What is u?
-1, 0
Let -6*f**3 + f**4 - 3*f**4 - 3*f**4 - f**5 = 0. Calculate f.
-3, -2, 0
Find k such that 8/17 - 2/17*k**2 + 0*k = 0.
-2, 2
Let w = 23 + -21. Find y such that -4/3*y**4 - 2*y**3 - 1/3*y**5 - 1/3*y + 0 - 4/3*y**w = 0.
-1, 0
Let n be ((-146)/27)/((-5)/975). Let h = 1056 - n. Find t such that 0 + 14/9*t**4 - h*t**2 - 2/3*t**3 - 4/9*t + 10/9*t**5 = 0.
-1, -2/5, 0, 1
Let q = -6 - -6. Factor q*s - 2/7 + 2/7*s**2.
2*(s - 1)*(s + 1)/7
Let c(s) be the third derivative of -s**5/36 + s**4/16 - s**3/18 + 4*s**2. Find t s