 y. Let z(m) = -2*u(m) + 14*w(m). Let z(v) = 0. What is v?
-1, 0
Solve 10*z**5 + 7*z**3 - 3*z - 17*z + 24*z**2 + 5 - 25*z**4 + 3*z**3 - 4*z**2 = 0 for z.
-1, 1/2, 1
Suppose -5*r = -0 - 25. Let d(v) = 387*v**2 + 229*v + 27. Let q(b) = -193*b**2 - 115*b - 13. Let k(c) = r*q(c) + 3*d(c). Solve k(i) = 0 for i.
-2/7
Let y = 390/7 + 1980/7. Let w = y - 338. Let w*u**2 - 2*u**5 + 2*u**3 + 0*u - 4/7*u**4 + 0 = 0. What is u?
-1, -2/7, 0, 1
Suppose -6*a + 8*a - 110 = 0. Let h be 2/(-3) + a/60. Factor -h*n**2 + 0 + 1/4*n.
-n*(n - 1)/4
Let x(j) be the third derivative of j**8/5040 + j**7/2520 - j**6/1080 - j**5/360 + j**3/6 - 2*j**2. Let t(p) be the first derivative of x(p). Factor t(q).
q*(q - 1)*(q + 1)**2/3
Let b(k) = -k**2 - k - 2. Let n(f) = -5*f**2 - 2*f**2 + 8*f**2. Let j(z) = -b(z) - 2*n(z). Determine p so that j(p) = 0.
-1, 2
Let v be 28/(-8) - (2 - 7). Suppose -13/4*t**2 - 3*t - 1/4*t**4 - v*t**3 - 1 = 0. Calculate t.
-2, -1
Let n(u) be the third derivative of u**9/453600 - u**8/75600 + u**7/37800 + u**5/60 - 2*u**2. Let z(p) be the third derivative of n(p). Factor z(c).
2*c*(c - 1)**2/15
Let m be ((-4)/10)/(3/(-15)). Let v be ((-1)/(-2))/(4/12). Solve v*c**3 + 1/2*c**m - c + 0 = 0.
-1, 0, 2/3
Suppose -2*p = p. Find i such that p*i - i + i**3 + 0*i**3 = 0.
-1, 0, 1
Let -2*v**3 - 51*v**2 + 0*v**4 + 2*v**5 + 49*v**2 + 2*v**4 = 0. What is v?
-1, 0, 1
Let i = -10 + 10. Suppose i = -2*y + 5 - 1. Let 0 - 1/5*f**3 + 2/5*f**y + 0*f = 0. Calculate f.
0, 2
Factor 1/3*t**2 + 1/3*t**3 + 0 - 2/3*t.
t*(t - 1)*(t + 2)/3
Let i(l) be the second derivative of -l**4/21 - 12*l**3/7 - 162*l**2/7 - 52*l. Let i(f) = 0. Calculate f.
-9
Let h(n) = 1 - 11*n**4 - 3*n**3 + 4*n**3 + 10*n**4 - n. Let t(m) = -8*m**3 - 2*m**2 + 8*m + 2. Let k(u) = -2*h(u) - t(u). Find s such that k(s) = 0.
-2, -1, 1
Suppose 0 = 3*k - 5*k + 10. Determine d, given that -9*d**4 + 4*d**3 - 2*d + 9*d**2 + 0*d**5 - 6*d**3 + 4*d**k = 0.
-1, 0, 1/4, 1, 2
Factor 5*f**5 + 22*f**3 + 8*f**2 + 7*f**4 + f + 11*f**4 - 2 - 4*f.
(f + 1)**4*(5*f - 2)
Let i(k) be the third derivative of -k**11/665280 + k**10/100800 - k**9/60480 + k**5/60 - 4*k**2. Let b(g) be the third derivative of i(g). Solve b(z) = 0.
0, 1, 2
Suppose 4*a + 29 = -r, -2*r + 5*r + 33 = -3*a. Let k be ((-45)/a)/(1*6). Find n, given that -k*n + n**2 + 1/4 = 0.
1/4, 1
Factor 1/4*n + 0 + 1/2*n**3 - 3/4*n**2.
n*(n - 1)*(2*n - 1)/4
Let k(v) be the second derivative of 3*v**5/80 - 5*v**4/16 + v**3/2 + 9*v. What is i in k(i) = 0?
0, 1, 4
Suppose -4*n = -9*n + 20. Let v(b) be the first derivative of -1/5*b**n + 6/25*b**5 + 3/5*b**2 - 1/15*b**6 - 4/15*b**3 + 1 - 2/5*b. Factor v(k).
-2*(k - 1)**4*(k + 1)/5
Let r = -1/3 + 2/5. Let l = r + 23/105. Factor -2/7*c**2 - l + 4/7*c.
-2*(c - 1)**2/7
Let d(o) be the third derivative of 1/1008*o**8 + 0 + 0*o**4 - 4*o**2 - 1/315*o**7 + 0*o**3 + 0*o + 1/90*o**5 - 1/360*o**6. Let d(y) = 0. Calculate y.
-1, 0, 1, 2
Factor 8/5*k + 8/5*k**2 + 2/5.
2*(2*k + 1)**2/5
Let t(q) = q**5 + q**3. Let b(f) = -6*f**5 + f**4 - 8*f**3 - f**2. Let w(y) = -2*b(y) - 14*t(y). Factor w(z).
-2*z**2*(z - 1)*(z + 1)**2
Let f(c) be the second derivative of 3*c - 3/10*c**5 + 0*c**4 + 0*c**6 + 0 + 1/2*c**3 + 0*c**2 + 1/14*c**7. Factor f(k).
3*k*(k - 1)**2*(k + 1)**2
Let w be ((-16)/(-70))/((-18)/(-90)). Find g, given that w - 32/7*g + 2*g**2 = 0.
2/7, 2
Let p(g) be the second derivative of g**7/168 - 3*g**6/40 + 3*g**5/16 - 7*g**4/48 - 27*g. Determine h, given that p(h) = 0.
0, 1, 7
Suppose -2*w + 2*l + 8 = 0, 5*l + 1 + 7 = w. Let c(t) be the first derivative of -2 + 7/3*t**w + 5/2*t**2 - 2*t. Solve c(d) = 0.
-1, 2/7
Let n(i) be the first derivative of -1/15*i**3 + 0*i - 1/10*i**2 - 2. Suppose n(t) = 0. Calculate t.
-1, 0
Let z(t) be the third derivative of -t**9/432 - 3*t**8/560 - t**7/420 - t**3/3 + 4*t**2. Let q(c) be the first derivative of z(c). Factor q(n).
-n**3*(n + 1)*(7*n + 2)
Let j(n) be the first derivative of -4*n**3/3 + 8*n**2 - 16*n + 17. Let j(w) = 0. What is w?
2
Suppose -20 = -5*q - 2*h, -5*q + h + 3 = -2. Suppose -q*z + 6 = 2. Factor -i**2 - z*i**2 + 5*i**2.
2*i**2
Let t be (-3 + 0)/((-6)/4). Factor -10/11*v + 2/11 + 16/11*v**t - 8/11*v**3.
-2*(v - 1)*(2*v - 1)**2/11
Let z(m) = -m**3 - 2*m**2 + 3*m + 2. Let n be z(-3). Factor k + k - 4*k - k**2 - 2*k**3 - 3*k**n.
-2*k*(k + 1)**2
Determine j, given that 258*j**2 + 20*j + 4*j**3 - 276*j**2 - 2 - 4 = 0.
1/2, 1, 3
Determine i, given that -7*i + 16*i + 5*i**2 - 4*i**2 - 8*i = 0.
-1, 0
Let s(b) = b**2 - 3*b - 4. Let t(c) be the first derivative of -2*c**3/3 + c**2 + 4*c - 3. Let u(o) = 4*s(o) + 3*t(o). Solve u(r) = 0 for r.
-2, -1
Let a(w) be the third derivative of w**5/120 - w**4/12 + w**3/3 - 8*w**2. Factor a(f).
(f - 2)**2/2
Let b(p) be the first derivative of -2*p**3/51 - 3*p**2/17 + 5. Determine j, given that b(j) = 0.
-3, 0
Let w(k) be the first derivative of -196*k**5/5 - 21*k**4 + 32*k**3 - 8*k**2 - 6. Factor w(q).
-4*q*(q + 1)*(7*q - 2)**2
Let q(o) be the first derivative of o**6/18 + 2*o**5/15 + o**4/12 - 4. Solve q(u) = 0.
-1, 0
Let n(f) = 3*f**2 + 3*f + 3. Let l(j) = j. Let c(b) = -3*l(b) - n(b). Let c(p) = 0. What is p?
-1
Let j(y) be the second derivative of 5*y**4/12 - 10*y**2 - 10*y. Solve j(n) = 0 for n.
-2, 2
Let n(z) be the third derivative of -z**5/300 + z**4/30 + 14*z**2. Suppose n(v) = 0. Calculate v.
0, 4
Let o(m) be the second derivative of -2*m**5/5 + m**4/2 - 5*m. Factor o(w).
-2*w**2*(4*w - 3)
Let j(i) be the first derivative of -9*i**5/25 + 3*i**4/20 + 2*i**3/5 + 1. Factor j(w).
-3*w**2*(w - 1)*(3*w + 2)/5
Let t = 186 + -15623/84. Let x(k) be the third derivative of 0 + 2*k**2 - 1/210*k**5 - t*k**4 + 0*k + 0*k**3. Determine z, given that x(z) = 0.
-1, 0
Let c(j) be the second derivative of -j**7/42 - j**6/10 - j**5/20 + j**4/4 + j**3/3 + 8*j. Solve c(s) = 0 for s.
-2, -1, 0, 1
Determine p so that -15*p**4 - 3*p + 3*p**3 + 6*p**4 - 3*p**2 + 12*p**4 = 0.
-1, 0, 1
Let y(j) be the third derivative of 1/315*j**7 + 1/504*j**8 + 0*j**3 + 0*j**4 + 3*j**2 + 0*j + 0*j**5 + 0 - 1/90*j**6. Factor y(b).
2*b**3*(b - 1)*(b + 2)/3
Let q = 124 - 121. Let 3*l**4 + 9/2*l**q - 3/2*l**2 - 3/2 - 9/2*l = 0. Calculate l.
-1, -1/2, 1
Let n = 854 - 23053/27. Let i(c) be the third derivative of 0*c - 8/27*c**3 - 1/945*c**7 - 1/15*c**5 + 0 + n*c**4 - 2*c**2 + 7/540*c**6. Factor i(m).
-2*(m - 2)**3*(m - 1)/9
Let x(y) = -7*y + 6. Let j be x(3). Let m be j/9 - (1 - 3). Factor m*f**2 + 1/3*f**3 + 0 + 0*f.
f**2*(f + 1)/3
Factor -28*k**3 - 31*k**3 + 6*k**4 + 61*k**3.
2*k**3*(3*k + 1)
Let i(c) be the first derivative of -3*c**4/8 - 5*c**3/2 - 21*c**2/4 - 9*c/2 + 13. Determine b so that i(b) = 0.
-3, -1
Let j(a) be the second derivative of a**5/5 - 4*a**4/3 + 2*a**3 - 15*a. Let j(l) = 0. What is l?
0, 1, 3
Suppose 2*w + 4*j = 16, 2*w - 17 = j - 4*j. Suppose 4*n - w = -n. Suppose 2*a - 2*a**n - 2*a**3 - 2 + 2*a**2 - 3*a**2 + 5*a**2 = 0. What is a?
-1, 1
Let o be ((-108)/(-63))/(6/4). Solve 4/7*w**5 - 4/7*w**3 + 2/7 + 0*w - o*w**2 + 6/7*w**4 = 0.
-1, 1/2, 1
Let o(q) be the first derivative of 5*q**2 - 4*q + 3 + 4/3*q**3 - 5/2*q**4. Factor o(m).
-2*(m - 1)*(m + 1)*(5*m - 2)
Let n(b) be the third derivative of b**8/90720 + b**7/22680 - b**6/1620 - b**5/15 - 3*b**2. Let r(y) be the third derivative of n(y). Factor r(t).
2*(t - 1)*(t + 2)/9
Let k = -1/6 - -5/6. Let y(o) be the second derivative of -k*o**3 - 27/20*o**5 + 0*o**2 + 0 - 2*o**4 + 2/3*o**6 + 3*o. Suppose y(d) = 0. What is d?
-2/5, -1/4, 0, 2
Let v(x) be the third derivative of -x**6/120 + x**5/15 - 5*x**4/24 + x**3/3 - 8*x**2. Suppose v(f) = 0. What is f?
1, 2
Let j(z) = z**2 + 4*z - 2. Let s(n) be the third derivative of n**5/20 + n**4/2 - 5*n**3/6 + 3*n**2. Let y(o) = 17*j(o) - 6*s(o). Solve y(k) = 0.
-2
Factor 7*i + 9 + 9*i + 3*i**2 - 4*i.
3*(i + 1)*(i + 3)
Let z(x) be the third derivative of x**5/12 + 5*x**4/12 + 5*x**3/6 + 22*x**2. Factor z(l).
5*(l + 1)**2
Let o(f) be the first derivative of 7/6*f**3 + f - 5/12*f**4 - f**2 - 1. Let g(b) be the first derivative of o(b). Factor g(u).
-(u - 1)*(5*u - 2)
Let t(a) be the third derivative of a**8/112 + a**7/35 - a**5/10 - a**4/8 + 57*a**2. Let t(c) = 0. What is c?
-1, 0, 1
Let d(o) be the second derivative of 1/6*o**4 + 0*o**2 + 6*o + 0*o**3 + 0. Factor d(f).
2*f**2
Let c(w) be th