se 0 - 2/9*i**3 - 4/9*i + v*i**2 = 0. Calculate i.
0, 1, 2
Let l be (-1)/7*(76/(-8) - -6). Let t(m) be the first derivative of -2/3*m**3 - 1/6*m**6 - 1 - l*m**2 + 1/2*m**4 + 1/5*m**5 + m. Let t(w) = 0. What is w?
-1, 1
Let o(r) = r**3 + 3*r**2 + 4*r. Let h(b) = -b. Let g(u) = -2*h(u) - o(u). Factor g(s).
-s*(s + 1)*(s + 2)
Let o(n) be the second derivative of -n**5/150 - n**4/30 - n**3/15 - n**2 - 2*n. Let r(q) be the first derivative of o(q). Let r(d) = 0. What is d?
-1
Let i = 1 - -1. Factor -2*j**3 + i + 14*j**3 - 21*j - 8 + 15*j**2.
3*(j - 1)*(j + 2)*(4*j + 1)
Suppose -16 + 1 = -5*d. Suppose 0 = -2*s + d*x, -2*s = -s - 5*x. Factor 2/9*m**2 + 4/9*m**3 + 2/9*m**4 + 0*m + s.
2*m**2*(m + 1)**2/9
Determine v, given that 27*v - 4 + 2 - 30*v - v**2 = 0.
-2, -1
Factor 4/5*g**2 - 12/5 + 8/5*g.
4*(g - 1)*(g + 3)/5
Let t(k) be the second derivative of -k**4/20 + 3*k**3/5 - 27*k**2/10 + 7*k. Factor t(v).
-3*(v - 3)**2/5
Let t = 65 - 194/3. Let d(h) be the first derivative of -1/3*h - 1/6*h**4 + t*h**2 + 1/9*h**3 - 3. Factor d(i).
-(i - 1)*(i + 1)*(2*i - 1)/3
Let m(o) be the second derivative of -o**6/120 + o**4/24 - o**2/8 - 5*o. Find x, given that m(x) = 0.
-1, 1
Let f be (3 - 4)*0/2. Let k(z) be the second derivative of 1/54*z**4 + 0 + 0*z**2 + 2*z + f*z**3 - 1/90*z**5. Solve k(o) = 0 for o.
0, 1
Let k(q) be the first derivative of -q**6/3 + 2*q**5/5 + q**4/2 - 2*q**3/3 + 16. Factor k(o).
-2*o**2*(o - 1)**2*(o + 1)
Let r(w) be the second derivative of 7/36*w**4 + 1/9*w**3 + 0 + 0*w**2 - 2*w + 1/12*w**5. Suppose r(l) = 0. What is l?
-1, -2/5, 0
Suppose -3 = -y - 0. Suppose -3*z - y = -5*c, -c - 4*z + 28 = 3*c. Let 3*p**c - 3 - p**3 - 8*p - 1 + 6*p + 4*p**2 = 0. What is p?
-2, -1, 1
Factor 5*x**3 - x**3 + 16 + 12*x**2 - 2*x**3 + 24*x.
2*(x + 2)**3
Let x be (4/4)/(((-2)/4)/(-1)). Solve -1/2*s - 3/2*s**x + 3/2*s**4 + 0 + 5/2*s**3 - 2*s**5 = 0.
-1, -1/4, 0, 1
Factor -5*r**3 + 2*r**3 + 7*r**3 + 4*r**3 + 4*r - 12*r**2.
4*r*(r - 1)*(2*r - 1)
Let d be 1 - ((-3)/12)/(-1). Let u = 821/468 + -1/234. Factor -5/4*j + u*j**2 + 1/4 - d*j**3.
-(j - 1)**2*(3*j - 1)/4
Let x(v) = -2*v. Let u be x(-1). Let 0 + 0*c**3 + 0*c + 0*c**u + 2/5*c**4 = 0. Calculate c.
0
Suppose 0 = r + 2*u + 8, -16 = r + 4*r + 4*u. Suppose r = n - 2*w, 4*n - 32 = -5*w - 6. Solve -n*l**2 + 3*l + 3*l**2 + 0 - 2 = 0 for l.
1, 2
Let k(j) be the first derivative of 2*j**5/35 + 9*j**4/14 + 16*j**3/21 + 3. Solve k(p) = 0.
-8, -1, 0
Suppose -12*i + 82 = -26. What is b in 9/2*b**4 + 0 + 0*b + i*b**3 + 3/4*b**5 + 6*b**2 = 0?
-2, 0
Let q(n) be the first derivative of 0*n - 3/4*n**4 - 3/2*n**2 - 2*n**3 + 3. Solve q(w) = 0 for w.
-1, 0
Let p(u) = -u**3 + 17*u**2 - 9*u - 112. Let z be p(16). Let c be -1*-1*(-1)/(-2). Factor z + c*k**2 - 1/2*k.
k*(k - 1)/2
Suppose 3*u + u + 2*f - 154 = 0, -4*u + f + 169 = 0. Find d such that -8*d + 39*d**4 - 2 - 7*d**3 - d**3 - u*d**4 - 12*d**2 = 0.
-1
Let b(t) be the second derivative of t**7/7 - 9*t**6/10 + 12*t**5/5 - 7*t**4/2 + 3*t**3 - 3*t**2/2 + 2*t - 5. Suppose b(i) = 0. Calculate i.
1/2, 1
Solve i + 3*i**2 - i**5 + 2*i**5 + 1 - i**2 - 2*i**3 + i**4 - 4*i**2 = 0 for i.
-1, 1
Suppose 0 = 2*z - 0*z - 24. Let m be (-3)/z - (-2)/8. Factor -4/3*t + 2/3*t**2 + m.
2*t*(t - 2)/3
Let y(n) be the third derivative of n**8/15680 + n**7/5880 - n**6/1680 - n**5/280 + 5*n**4/24 + n**2. Let d(w) be the second derivative of y(w). Factor d(c).
3*(c - 1)*(c + 1)**2/7
Let y(t) = t**3 + 6*t**2 - 7*t + 2. Let k be y(-7). Factor 4*p - 2*p**3 + 0*p + p**k + p**2.
-2*p*(p - 2)*(p + 1)
Let q(h) = 7*h**2 + 6. Suppose -a + 21 = 4*b, -3*b + 24 = -b - 4*a. Let c(l) = -l**2 - 1. Let f(y) = b*c(y) + q(y). Factor f(t).
t**2
Let t(v) = 5*v**3 + 6*v**2 + 17*v - 17. Let h(w) = -2*w**3 - 2*w**2 - 6*w + 6. Let m = 24 + -13. Let x(y) = m*h(y) + 4*t(y). Factor x(b).
-2*(b - 1)**2*(b + 1)
Let m(r) be the third derivative of r**10/453600 + r**9/181440 - r**5/15 + 4*r**2. Let f(n) be the third derivative of m(n). Suppose f(w) = 0. What is w?
-1, 0
Let i(v) be the second derivative of v**4/21 - 8*v. Find w such that i(w) = 0.
0
Let a(w) be the third derivative of -w**6/2520 - w**5/140 - 3*w**4/56 - 5*w**3/3 + 3*w**2. Let g(k) be the first derivative of a(k). Factor g(u).
-(u + 3)**2/7
Let b be ((-16)/4 + 4)/(2 + 0). Determine i so that 2/9*i**2 + b - 2/9*i = 0.
0, 1
Let u(i) = i**2 - i + 1. Let s(j) be the second derivative of j**5/20 - j**4/4 - j**3/2 + 7*j**2/2 - 6*j. Let z(x) = -s(x) - u(x). Factor z(d).
-(d - 2)**2*(d + 2)
Let h(i) be the first derivative of 7*i**3/12 + i**2/4 + 6. Solve h(w) = 0 for w.
-2/7, 0
Determine u, given that 5*u + 30 + 18*u + 10 - 5*u**3 - 3*u - 10*u**2 = 0.
-2, 2
Let j be 48/9*41/328. Factor 1/3*d**2 + 1/3 + j*d.
(d + 1)**2/3
Let t = -4/47 - -208/235. Determine v so that 2/5 - 4/5*v**3 + 14/5*v**4 - t*v - 16/5*v**2 + 8/5*v**5 = 0.
-1, 1/4, 1
Let q be (3/2)/(-5*(-7)/70). Find z, given that 4/3*z**2 - z**q - 1/3*z + 0 = 0.
0, 1/3, 1
Suppose 2*j + 2 = 3*j. Let v = 28 + -25. Suppose 4*p**4 + 3*p**2 - 6*p**2 + 0*p**5 + 2*p**3 - p**j + p - v*p**5 = 0. What is p?
-1, 0, 1/3, 1
Let f(u) be the third derivative of 0 + 1/315*u**7 + 0*u - 1/60*u**6 + 0*u**3 - 2*u**2 + 1/30*u**5 - 1/36*u**4. Suppose f(n) = 0. What is n?
0, 1
Let c be 3*-4*(-3)/(-2). Let l be (-76)/(-63) + (-4)/c. Factor 16/7*z + l*z**2 + 8/7 + 2/7*z**3.
2*(z + 1)*(z + 2)**2/7
Let g(q) = -27*q. Let w be g(1). Let j be (-3)/(w/31) - 3. Solve 0 - 2/9*f**3 - 2/3*f**2 - j*f = 0.
-2, -1, 0
Let w be ((-4)/(-8))/(2/13). Factor 1/2 + 21/4*b**2 - w*b.
(3*b - 1)*(7*b - 2)/4
Suppose -11 = -2*v - 3*d + 3, 2*d = 2*v - 4. Factor g**3 - v*g**3 - 12*g**3 + 4*g**2 - g**2 + 18*g**4.
3*g**2*(2*g - 1)*(3*g - 1)
Let h(p) be the first derivative of -p**2 + 0*p - 1/4*p**4 + p**3 + 5. Factor h(z).
-z*(z - 2)*(z - 1)
Suppose 4*l - 18 = 5*p, 4*l + 3*p + 5 = 7. Suppose -1/3*j**5 + 1/3*j**4 + 2/3*j**3 - 2/3*j**l + 1/3 - 1/3*j = 0. Calculate j.
-1, 1
Solve -6 - 14/3*r**2 - 2/3*r**3 - 10*r = 0 for r.
-3, -1
Let t(w) be the third derivative of -w**6/120 + w**5/60 + w**4/24 - w**3/6 + 14*w**2. Factor t(x).
-(x - 1)**2*(x + 1)
Let m(w) = 6*w**5 - 24*w**4 + 24*w**3 + 12*w**2 - 43*w - 1. Let x(j) = -3*j**5 + 12*j**4 - 12*j**3 - 6*j**2 + 21*j. Let l(z) = -6*m(z) - 13*x(z). Factor l(c).
3*(c - 2)*(c - 1)**3*(c + 1)
Let o = 31 + -17. Let f be 2/4 - o/(-4). Find h, given that -2*h**5 - f*h**4 + 3 + 2*h + 4*h**2 - 3 = 0.
-1, 0, 1
Let z(p) be the third derivative of 1/720*p**6 + 0*p + 0 - 1/72*p**5 - 3*p**2 - 1/9*p**3 + 1/18*p**4. Factor z(i).
(i - 2)**2*(i - 1)/6
Suppose 0*l = -4*r - 5*l + 22, -2 = -l. Factor -3/2*a**4 + 0*a - a**r + 0*a**2 + 0.
-a**3*(3*a + 2)/2
Let d be ((-3)/(-6))/(2/(-4)). Let c(n) = n**3 - n**2 + n + 1. Let q(t) = t**3 + t**2 + t + 3. Let z(v) = d*q(v) + 3*c(v). Factor z(w).
2*w*(w - 1)**2
Let o(t) = -t**3 - 22*t**2 + 26*t + 72. Let d be o(-23). Factor -3/7*j**d + 3/7*j - 3/7*j**4 + 3/7*j**2 + 0.
-3*j*(j - 1)*(j + 1)**2/7
Let u(z) be the third derivative of -z**6/120 + z**5/60 + z**4/24 - z**3/6 + 3*z**2. Factor u(d).
-(d - 1)**2*(d + 1)
Let d(p) be the second derivative of -p**4/30 - 2*p**3/3 - 5*p**2 - 14*p. Find f, given that d(f) = 0.
-5
Let a(n) = -2*n - 11. Let u be a(-8). Factor 32*r + r**2 + u*r**2 - 5*r**2 - 31*r.
r*(r + 1)
Let y(h) be the third derivative of -h**7/1260 + h**6/360 + h**5/120 - 15*h**2. Determine a so that y(a) = 0.
-1, 0, 3
Let h(r) = 4*r**2 - 3*r + 2. Let x(a) = -15*a**2 + 11*a - 7. Suppose 32 + 34 = -3*z. Let y(b) = z*h(b) - 6*x(b). Determine q, given that y(q) = 0.
-1, 1
Determine m so that -8*m**2 + 2/3*m**5 - 16/3*m + 2*m**4 - 4/3*m**3 + 0 = 0.
-2, -1, 0, 2
Factor 1 + 1/3*l**2 - 1/3*l**3 + 5/3*l.
-(l - 3)*(l + 1)**2/3
Let j = -189/8 + 24. Solve -3/4*y**2 - j*y + 3/8*y**3 + 3/4 = 0.
-1, 1, 2
Let t be (18/60)/(3/((-30)/(-16))). Let k(r) be the first derivative of 1/4*r**3 + 1/20*r**5 + 1/8*r**2 + 1 + t*r**4 + 0*r. Solve k(h) = 0.
-1, 0
Factor -2*q**2 - 3 + 4*q - 3 + 4*q + 0.
-2*(q - 3)*(q - 1)
Determine t, given that 122 + 4*t + t**2 - 122 = 0.
-4, 0
Suppose 3*b + 3*y = 4*y + 2, -10 = -b + 5*y. Suppose -2*f = b, -k + 4*k + 2*f = 15. Factor -3*j**k + 4*j**5 - 4*j**4 + 2*j + 4*j**2 - 3*j**5.
-2*j*(j - 1)*(j + 1)**3
Factor 8/7 - 6/7*m**2 - 2/7*m**3 + 0*m.
-2*(m - 1)*(m + 2)**2/7
Let f(l) = l**2 - 2*l - 1. Let p(g)