) = 0. Calculate i.
-2, -1, 1
Let v(h) be the first derivative of 1/15*h**3 + 3/10*h**2 + 2/5*h + 4. Determine s, given that v(s) = 0.
-2, -1
Let l be (2/(-58))/((-7)/79). Let q = -3/29 + l. Find i such that q*i**2 + 0*i + 0 = 0.
0
Suppose -4*d + 16 = -2*n, 3*d + 6*n - 12 = 9*n. Find w, given that 8/3*w**2 - 20/3*w**3 + 16/3*w**d + 0*w + 0 - 4/3*w**5 = 0.
0, 1, 2
Let i(g) = g**3 + 7*g**2 - 10*g - 13. Let h be i(-8). Let x = 1 - 1. Factor 0 + x*n + 0*n**h + 0*n**2 - 1/6*n**4 - 1/6*n**5.
-n**4*(n + 1)/6
Let v(l) = -4*l**3 - 12*l**2 + 27. Let d(w) = w**3 + 3*w**2 - 7. Let z(b) = -22*d(b) - 6*v(b). Suppose z(t) = 0. What is t?
-2, 1
Let u(f) be the second derivative of -8/39*f**3 + 3*f + 0 + 1/273*f**7 - 1/39*f**6 + 3/65*f**5 + 0*f**2 + 2/39*f**4. Factor u(a).
2*a*(a - 2)**3*(a + 1)/13
Suppose 0 = z + 3*z - 5*z. Let n(m) be the first derivative of -1 - 2/3*m - 2/3*m**2 + z*m**3 + 1/3*m**4 + 2/15*m**5. Suppose n(i) = 0. Calculate i.
-1, 1
Let j(i) be the second derivative of i**4 + 2/3*i**6 + 1/3*i**3 + 1/7*i**7 + 0*i**2 + 6/5*i**5 + 2*i + 0. Factor j(q).
2*q*(q + 1)**3*(3*q + 1)
Let v(w) = w**3 - 6*w**2 + 4*w + 6. Let k be v(5). Let f be (-2 + k)*12/(-4). Find n such that -5*n**5 - n**4 + n**5 + 3*n**5 + n**f + n**2 = 0.
-1, 0, 1
Let l(g) be the second derivative of -2/15*g**6 + 1/5*g**5 + 0 + 4/3*g**4 + 7/3*g**3 - 1/21*g**7 + 2*g**2 + 4*g. Factor l(k).
-2*(k - 2)*(k + 1)**4
Let l(x) be the third derivative of -x**6/144 - 7*x**5/360 - x**4/72 - 4*x**2. Factor l(d).
-d*(d + 1)*(5*d + 2)/6
Let m = -2/33 - -103/66. Let l be (20/(-10) - (-3 - -2))*-3. Factor 0 - 1/2*o + o**2 + m*o**l.
o*(o + 1)*(3*o - 1)/2
Suppose -4*q + q = -2*i + 9, -2*i + 2*q + 8 = 0. Factor i*o - 5 - 4*o**2 + 3 + 3*o + 0*o**2.
-2*(o - 1)*(2*o - 1)
Determine p, given that 0*p + 1/6*p**3 + 1/6*p**2 - 1/6*p**4 - 1/6*p**5 + 0 = 0.
-1, 0, 1
Factor 6/5*s**2 + 1/5*s**4 + 1/5 - 4/5*s**3 - 4/5*s.
(s - 1)**4/5
Let z(c) be the third derivative of c**9/40320 + c**8/13440 - c**5/30 + 2*c**2. Let n(v) be the third derivative of z(v). Factor n(m).
3*m**2*(m + 1)/2
Suppose -3*n = -2*n. Suppose -6*a + 2*a + 16 = n. Factor -1/2*i**3 + 1/4 + 1/2*i - 1/4*i**a + 0*i**2.
-(i - 1)*(i + 1)**3/4
Let o be 36/(-36)*(18/(-10) + 1). Let 0*n - 2*n**5 + 2*n**3 - 4/5*n**4 + 0 + o*n**2 = 0. Calculate n.
-1, -2/5, 0, 1
Factor -86*t**2 - 12*t - 4*t + 68*t**2 + 12 - 34*t.
-2*(t + 3)*(9*t - 2)
Let s(o) = o**2 + 6*o - 10. Let d be s(-8). Suppose d*a - 15 = a. Factor 0*h**2 + 3*h**a + 3*h**3 - 2*h**5 + 4*h**2.
-2*h**2*(h - 2)*(h + 1)**2
Suppose -5*s - 2 = -2. Factor 0*c + 2/13*c**4 + s + 2/13*c**3 - 2/13*c**5 - 2/13*c**2.
-2*c**2*(c - 1)**2*(c + 1)/13
Let g(f) be the second derivative of f**7/105 + f**6/30 + f**5/30 + 3*f**2/2 - f. Let i(b) be the first derivative of g(b). Determine q, given that i(q) = 0.
-1, 0
Suppose 2*u - 4 = z, 4*z = 5*z - 3*u + 7. Let 2*f**4 + 26/7*f + 4/7 + 46/7*f**3 + 54/7*f**z = 0. What is f?
-1, -2/7
Suppose 3*k + 5*r = 94, 0 = -5*k + r + 137 - 27. Factor 43*n - 18*n - k*n + 2*n**2.
2*n*(n + 1)
Let m be ((-2)/(-30))/((-66)/(-440)). Suppose 0*j**2 - 4/9*j**3 + m*j + 2/9 - 2/9*j**4 = 0. What is j?
-1, 1
Let h be 2/5 + 234/15. Factor -8*d**2 - d**4 - 4*d**5 + h*d + 9*d**4 - 12*d.
-4*d*(d - 1)**3*(d + 1)
Suppose -26 = g - 4*g - 5*q, 4 = 4*g - q. Determine l, given that -2/3 + 4*l - 10/3*l**g - 8*l**3 = 0.
-1, 1/4, 1/3
Let b = 0 - -2. Suppose 3*l + 4 - 13 = 0. Factor 2 + 2*x**l + b*x**3 + 6*x + 6*x**2 - 2*x**3.
2*(x + 1)**3
Let a = 50 + -44. Let r(m) be the third derivative of m**2 + 2/735*m**7 + 11/210*m**5 - 4/21*m**3 + 0*m**4 + 0 + 3/140*m**a + 0*m. Let r(h) = 0. What is h?
-2, -1, 1/2
Let a(j) be the second derivative of -5*j**7/21 + 52*j**6/15 - 37*j**5/2 + 133*j**4/3 - 160*j**3/3 + 32*j**2 + 4*j - 3. Suppose a(f) = 0. Calculate f.
2/5, 1, 4
Determine g so that 16/9*g - 14/9*g**3 + 2/9*g**2 + 8/9 - 2/9*g**5 - 10/9*g**4 = 0.
-2, -1, 1
Let a(x) be the third derivative of -x**6/540 + x**5/270 - 5*x**2. Factor a(y).
-2*y**2*(y - 1)/9
Let h(w) = -3*w**4 + 2*w**3 + 5*w**2 - 5. Let o(c) = -c**4 + c**3 + 2*c**2 - 2. Let m be 69/(-15) - (-2)/(-5). Let p(y) = m*o(y) + 2*h(y). Factor p(j).
-j**3*(j + 1)
Let o = -6 - -9. Factor -1 - 3*f**4 - 6*f**2 - 11*f**o + 2 + 3*f**3.
-(f + 1)**3*(3*f - 1)
Suppose 8*w = 7*w + 9. Factor w*r**3 - 5*r**3 + r**5 + 2*r**3 + 4*r**2 - 3*r**5.
-2*r**2*(r - 2)*(r + 1)**2
Let n(v) be the first derivative of v**5/40 + v**4/8 + v**3/4 + v**2/4 - v - 3. Let z(t) be the first derivative of n(t). Suppose z(p) = 0. What is p?
-1
Let b(m) be the third derivative of -m**6/2520 - m**5/140 - 3*m**4/56 + 4*m**3/3 + 3*m**2. Let l(r) be the first derivative of b(r). Factor l(n).
-(n + 3)**2/7
Let m be (-1*2/3)/(3/(-9)). Let g(v) be the third derivative of -1/9*v**3 + 1/180*v**5 + 0*v + 1/72*v**4 - 2*v**m + 0. Factor g(t).
(t - 1)*(t + 2)/3
Let q(r) = -13*r**4 + 28*r**3 - 19*r**2 + r + 13. Let p(j) = 7*j**4 - 14*j**3 + 9*j**2 - j - 7. Let b(d) = -5*p(d) - 3*q(d). Factor b(y).
2*(y - 2)*(y - 1)**2*(2*y + 1)
Let n = 2 + -6. Let c be (-20)/(-8) + n/2. Factor 0 - c*t**2 + 0*t + 1/2*t**3.
t**2*(t - 1)/2
Let c be (1 - 1/9)/(60/18). Let w(k) be the second derivative of -c*k**3 - 1/50*k**5 + 0 - 2/15*k**4 + 0*k**2 - 3*k. Factor w(g).
-2*g*(g + 2)**2/5
Let x(p) be the third derivative of -3*p**7/280 + p**6/40 + 11*p**5/240 + p**4/48 - 3*p**2. Suppose x(c) = 0. Calculate c.
-1/3, 0, 2
Let p = -462 + 465. Factor 0 + 3/5*z**p - 1/5*z**5 + 4/5*z**2 - 4/5*z - 2/5*z**4.
-z*(z - 1)**2*(z + 2)**2/5
Factor -3/5*c**2 + 0 + 3/5*c.
-3*c*(c - 1)/5
Let q(y) be the third derivative of -5*y**8/84 + 11*y**7/14 - 10*y**6/3 + 3*y**5/2 + 45*y**4/2 - 45*y**3/2 - 34*y**2. Solve q(f) = 0.
-1, 1/4, 3
Let r be ((-4)/34)/(87/(-493)). Factor 0 + 1/3*m**2 - r*m.
m*(m - 2)/3
Let u be ((-25)/(-90))/(1/200). Let z = 56 - u. Let z*a**2 - 4/9*a**3 + 2/3*a - 2/3*a**4 + 2/9 - 2/9*a**5 = 0. Calculate a.
-1, 1
Let x be (-49)/(-84) - 2*2/16. Let f(h) be the first derivative of 1/2*h**4 + 2/15*h**5 + 4 + 0*h + x*h**2 + 2/3*h**3. Factor f(n).
2*n*(n + 1)**3/3
Let d(u) be the first derivative of -u**4/2 + 4*u**3 - 12*u**2 + 16*u - 6. Solve d(v) = 0 for v.
2
Let o(p) = -5*p + 6*p**2 + 6 + 0*p - 3 - 5*p**2. Let i be o(5). Determine k, given that 8/3*k**2 - 26/9*k**i - 14/3*k**4 + 8/9*k + 0 = 0.
-1, -2/7, 0, 2/3
Suppose y - 3*b = 16, 0 = 5*y + 7*b - 2*b. Suppose -10*v**2 + v - 12*v**2 + 27*v**2 - y*v**2 = 0. What is v?
-1, 0
Suppose 0 = u - 2*i + 10, -4*u + i = -u + 5. Factor u*s**4 + 0*s + 1/4*s**5 - 1/4*s**3 + 0*s**2 + 0.
s**3*(s - 1)*(s + 1)/4
Let d(i) = -i**2 + 5*i + 8. Let c = 7 - 1. Let w be d(c). Suppose 0*y**3 + 0 + 1/4*y**4 + 0*y**w + 0*y = 0. Calculate y.
0
Let u(l) = -l**3 + 3*l**2 + 4*l + 1. Let x be u(4). Suppose 2*f - 18 = 3*s, f - s - 8 = -x. Find i, given that 3/4*i**2 + 1/4*i**f + 1/4 + 3/4*i = 0.
-1
Let z(o) be the third derivative of o**7/70 - o**6/40 - 20*o**2. What is g in z(g) = 0?
0, 1
Factor 0 + 4/3*n + 2/3*n**2 - 2/3*n**3.
-2*n*(n - 2)*(n + 1)/3
Let 14 - 5 - 5*c**5 - 9 + 15*c**3 + 10*c**2 = 0. What is c?
-1, 0, 2
Suppose 3*l - 87 = -0*l + 3*g, 4*g + 20 = 0. Let v = l + -70/3. Determine t so that 2*t**2 - 2/3*t**3 + v - 2*t = 0.
1
Let f(j) = 9*j**2 + 20*j + 21. Let b(v) = 26*v**2 + 60*v + 62. Let t(k) = -5*b(k) + 14*f(k). Determine h so that t(h) = 0.
-4, -1
Let z(u) be the third derivative of 1/105*u**7 + 0*u - 4/3*u**3 + 1/10*u**5 - 1/15*u**6 + 0 + 1/3*u**4 + 3*u**2. Let z(t) = 0. What is t?
-1, 1, 2
Let r be (4/10 + 49/(-35))*-4. Let p(m) be the first derivative of 0*m**2 - 2 + 0*m - 1/10*m**5 + 0*m**3 - 1/8*m**r. Factor p(x).
-x**3*(x + 1)/2
Let d = -62 + 67. Let x(p) be the first derivative of 0*p + 1/7*p**4 + 0*p**2 - 2 - 2/21*p**3 - 2/35*p**d. Factor x(r).
-2*r**2*(r - 1)**2/7
Determine v so that -13*v + 21 - 2*v**3 - 25 + 3*v - 8*v**2 = 0.
-2, -1
Let q be 6/(-2) + (22 - 9). Suppose 0*j = j + 5, -m - 2*j = q. Factor m - 4/3*d - 2/3*d**2.
-2*d*(d + 2)/3
Let o be 2*(-3*1)/3. Let l be 3/((-21)/15 - o). Find a, given that -l*a - 2 - a + 3*a**2 + 4*a + 3*a = 0.
-1, 2/3
Let f(b) be the third derivative of b**5/150 + b**4/60 - 2*b**3/15 + 5*b**2. Let f(x) = 0. What is x?
-2, 1
Let k(g) be the second derivative of -g**7/280 - g**6/120 - g**3/6 + 3*g. Let l(w) be the second derivative of k(w). Determine y, given tha