= 0.
-1, 0
Let g(u) = u**2 - 3*u + 6. Let n be g(2). Suppose -5*k - 34 = -3*f, 5*f + n*k = f - 8. Let -1 + 6*t - 21/4*t**2 - 49/4*t**f = 0. What is t?
-1, 2/7
Let x(b) be the first derivative of -b**4/12 - 2*b**3/9 + 22. Let x(v) = 0. What is v?
-2, 0
Let c(m) be the second derivative of 0 + 0*m**4 - 1/40*m**5 + m + 1/12*m**3 + 0*m**2. Suppose c(d) = 0. Calculate d.
-1, 0, 1
Let f(h) be the third derivative of 0 + 0*h**5 - 2*h**2 + 0*h + 1/480*h**6 + 0*h**4 + 1/840*h**7 + 0*h**3. Suppose f(o) = 0. What is o?
-1, 0
Let g = 0 + -4. Let s = g - -6. Determine p so that -8*p + 8*p**3 + s + 12*p**2 + 16*p + 2*p**4 + 0 = 0.
-1
Let l(j) = 4*j - 10. Let t be l(4). Factor 0*r + 0 - t*r**2 + r + 3 + 2*r.
-3*(r - 1)*(2*r + 1)
Let d(g) = -g**4 - 3*g**3 + 2*g**2 + 4*g. Let k(b) = b**4 + b**3 - b**2 - b. Let f(u) = -3*d(u) - 12*k(u). Factor f(a).
-3*a**2*(a + 1)*(3*a - 2)
Let o be 1 + 0 - (48/28 + -1). Solve -2/7*i + 0 + o*i**4 - 2/7*i**2 + 2/7*i**3 = 0.
-1, 0, 1
Suppose -4*o = 5*l - 15, 0*l + 12 = 4*l - 2*o. Suppose 10 = -2*t + 22. Factor 2*c**3 - c**4 - t*c**3 + l*c**4.
2*c**3*(c - 2)
Let i(a) be the second derivative of 0*a**3 + 0 - 27/20*a**5 + 0*a**2 - a + 1/2*a**4 + 7/10*a**6. Factor i(g).
3*g**2*(g - 1)*(7*g - 2)
Let n(i) be the third derivative of 1/300*i**6 + 1/150*i**5 + 0 + 0*i**4 + 0*i - 1/525*i**7 - 1/840*i**8 + 3*i**2 + 0*i**3. Factor n(d).
-2*d**2*(d - 1)*(d + 1)**2/5
Let f(l) be the first derivative of -2*l**3/3 + l**2/2 - 3*l - 4. Let z(n) = 10*n**2 - 4*n + 14. Let r(i) = -14*f(i) - 3*z(i). Solve r(c) = 0.
-1, 0
Find x such that 0 + 25/2*x - 5/2*x**2 = 0.
0, 5
Let x be (-8166)/264 + 4/22. Let a = 31 + x. Factor 0*h - 1/4*h**3 + 1/4*h**5 + 0 + 1/4*h**2 - a*h**4.
h**2*(h - 1)**2*(h + 1)/4
Suppose -4/3*n**2 - 16/3*n + 0 = 0. Calculate n.
-4, 0
Suppose 5*m = 2 - 7. Let c = 2 - m. Determine v, given that 13*v**2 + 7*v**3 + v**4 + 2*v**c + 12*v + 4 - 3*v**3 = 0.
-2, -1
What is u in 16/3 + 3*u**2 + 8*u = 0?
-4/3
What is w in -2/21*w**2 + 4/21 + 2/21*w = 0?
-1, 2
Let o(n) be the second derivative of -n**7/315 - n**6/75 - n**5/75 + n**4/45 + n**3/15 + n**2/15 + 8*n. Factor o(u).
-2*(u - 1)*(u + 1)**4/15
Let l be (-6)/30 + (-116)/(-5). Suppose 0 = -z + 5*x - l, 2*z + 2*z - 5*x + 17 = 0. Let 2/7*q**z + 0*q + 0 - 2/7*q**3 = 0. What is q?
0, 1
Determine x, given that 4*x - 11*x**4 - 9*x**5 + 6*x**4 + 144*x**3 - 211*x**4 - 40*x**2 + 117*x**5 = 0.
0, 1/3, 1
Suppose 0 - 9/7*j**2 + 9/7*j**4 - 3/7*j**5 + 3/7*j**3 + 0*j = 0. Calculate j.
-1, 0, 1, 3
Suppose i = 4*t - 12, -t = 2*t + 5*i + 14. Let s = 4 + -2. Solve w**t - w - w - w + s*w = 0 for w.
0, 1
Let t(y) be the second derivative of y**6/10 + 3*y**5/20 - 3*y**4/2 - 11*y + 2. Let t(v) = 0. What is v?
-3, 0, 2
Let f(b) be the third derivative of -7*b**5/330 - b**4/11 + 4*b**3/33 - 5*b**2. Factor f(t).
-2*(t + 2)*(7*t - 2)/11
Let f be (2/3)/(20/12). Factor -2/5*t**3 + 0 + 0*t**2 + f*t.
-2*t*(t - 1)*(t + 1)/5
Let b(v) = 0*v**3 + v**3 - 3*v**2 - v**2 - 3*v. Let i(n) = -2*n**3 + 7*n**2 + 5*n. Let q = -5 - -10. Let h(g) = q*b(g) + 3*i(g). Let h(r) = 0. What is r?
0, 1
Let c(z) = -z**3 - 8*z**2 - 8*z - 4. Let p be c(-7). Suppose 3/4*l**p - 1/4*l**2 - 1/4*l + 1/4*l**4 + 0 - 1/2*l**5 = 0. Calculate l.
-1, -1/2, 0, 1
Let x be (-538)/266 + (-1 - -3). Let h = x - -1073/399. Determine n so that 0 + h*n + 10*n**3 - 32/3*n**2 = 0.
0, 2/5, 2/3
Let p(x) be the first derivative of 5*x**4 - 25*x**3/3 + 28*x**2 - 7*x - 3. Let w(k) = -7*k**3 + 8*k**2 - 19*k + 2. Let i(r) = -4*p(r) - 11*w(r). Factor i(n).
-3*(n - 2)*(n - 1)**2
Suppose -p = 4 - 7. Suppose 0*j**2 + 4 + 7*j**2 - 4*j**p - 10*j + j**2 + 2*j**3 = 0. Calculate j.
1, 2
Let a be 1*-6*(-2)/22. Let b = -432/11 + 434/11. Factor b*l**2 + 4/11 + a*l.
2*(l + 1)*(l + 2)/11
Let x(j) be the second derivative of 3*j**5/20 - j**4/4 - j**3 + 19*j. Factor x(f).
3*f*(f - 2)*(f + 1)
Let o(i) be the first derivative of -i**4/4 + i**3/3 + i**2 - 6. Factor o(y).
-y*(y - 2)*(y + 1)
Let k(u) be the first derivative of -9*u**3/2 - 3*u**2/2 + 2. Find w such that k(w) = 0.
-2/9, 0
Let p(n) be the first derivative of 3*n**6 + 24*n**5/5 - 5*n**4/2 - 8*n**3 - 4*n**2 - 4. Find w, given that p(w) = 0.
-1, -2/3, 0, 1
Let o(k) be the first derivative of -k**6/280 + 3*k**4/56 + k**3/7 + 4*k**2 + 5. Let p(w) be the second derivative of o(w). Factor p(r).
-3*(r - 2)*(r + 1)**2/7
Let p(d) be the second derivative of 1/3*d**3 + 2/3*d**4 + 8*d + 0 - 1/5*d**5 - 2*d**2 + 1/21*d**7 - 2/15*d**6. Solve p(t) = 0.
-1, 1, 2
Let v(z) be the first derivative of -2*z**3/3 - 5*z**2 - 8*z + 12. Factor v(k).
-2*(k + 1)*(k + 4)
Let z(q) = q + 1. Let w(a) = 5*a**2 - 9*a - 4. Let t(v) = -w(v) - 4*z(v). Factor t(s).
-5*s*(s - 1)
Let i = -29/16 + 351/176. Factor 8/11 + 8/11*h + i*h**2.
2*(h + 2)**2/11
Let c be (-7)/(21/9) + 5. Solve 2/3*f**3 + 0 + 0*f + 0*f**c - 2/3*f**4 = 0.
0, 1
Let d be 14/(-30) - (-5)/10. Let f(n) be the second derivative of n + 1/135*n**6 - 1/27*n**3 - d*n**5 + 1/18*n**4 + 0 + 0*n**2. Factor f(c).
2*c*(c - 1)**3/9
Find d, given that -7*d**3 + 17*d**4 - 12*d**4 + 8*d - 4 - d**5 - 3*d**2 + 2*d**2 = 0.
-1, 1, 2
Suppose 3*i = -4*j - 44, 2*i + 3*i - 2*j + 56 = 0. Let v be (0 - i)/(1 + 1). Determine f so that -f**4 + 4*f**4 + 3*f + v*f**2 - f - f**4 + 6*f**3 = 0.
-1, 0
Let y(j) be the third derivative of 0 + 0*j**3 - 5/48*j**4 + 5/48*j**5 + 1/168*j**7 + 0*j - 5*j**2 - 1/24*j**6. Factor y(s).
5*s*(s - 2)*(s - 1)**2/4
Suppose -r - 9 = -2*b, -b = 4*b - 2*r - 20. Suppose b*v + 0 - 2 = -w, -16 = -5*v + 3*w. Solve t**v - 4*t**2 - 6*t**3 + t**2 + 4*t**3 + 4*t = 0.
-2, 0, 1
Let s(u) = -u**3 - 3*u**2 + 2*u + 6. Let w be s(-3). Factor -4/7*y**4 - 2/7*y**3 + w*y**2 + 0 + 0*y.
-2*y**3*(2*y + 1)/7
Factor -9*o**4 + o**4 + 3*o**4 + 9*o**4 + 4*o**5.
4*o**4*(o + 1)
Let b be ((-2)/3)/(2/(-15)). Let n be 0 + (-2 - 1) + b. Find y such that -n*y + 0*y + 0*y + y**3 - 3*y**3 - 4*y**2 = 0.
-1, 0
Suppose a + 3*a + 8 = 0. Let i(v) = v**3 + 2*v**2 - v. Let r be i(a). Factor t**4 + 3*t**2 + t - 3*t**2 - t**3 - t**r.
t*(t - 1)**2*(t + 1)
Let n(k) be the second derivative of -k**7/210 - k**6/120 - k**2/2 + k. Let x(j) be the first derivative of n(j). Factor x(p).
-p**3*(p + 1)
Let m(c) be the second derivative of -c**8/23520 - c**7/8820 + c**6/2520 + c**5/420 - c**4/6 - 2*c. Let f(v) be the third derivative of m(v). Solve f(h) = 0.
-1, 1
Let 48/7*l**3 - 8/7*l - 4*l**4 - 12/7*l**2 + 0 = 0. Calculate l.
-2/7, 0, 1
Let d(q) = 375*q**3 - 98*q**2 - 85*q - 8. Let c(s) = 375*s**3 - 97*s**2 - 85*s - 7. Let j(o) = -2*c(o) + 3*d(o). Suppose j(x) = 0. Calculate x.
-1/5, 2/3
Let s = 13 - 11. Let u(a) be the first derivative of 0*a - 1/5*a**s - 1 - 4/15*a**3. Factor u(h).
-2*h*(2*h + 1)/5
Let t(z) be the third derivative of 0*z**4 + 0*z**5 + 0 + 1/945*z**7 + z**2 - 1/540*z**6 + 0*z**3 + 0*z. Factor t(d).
2*d**3*(d - 1)/9
Let j(i) be the second derivative of i**6/18 + 17*i**5/180 - 5*i**4/72 - i**3/9 + 2*i**2 - 4*i. Let k(x) be the first derivative of j(x). Solve k(r) = 0.
-1, -1/4, 2/5
Let l(g) be the second derivative of 0*g**3 + 0*g**2 + 1/10*g**5 + 2/15*g**6 - g + 0 - 1/6*g**4. Let l(o) = 0. Calculate o.
-1, 0, 1/2
Let v(w) = w**2 - 1. Let n(m) = 5*m**3 + 4*m**2 + 5*m + 6. Let s(q) = n(q) + 6*v(q). Factor s(o).
5*o*(o + 1)**2
Suppose -y - 5*d + d + 1 = 0, -4*y + 2*d = -4. Let f(z) be the first derivative of -2/5*z**5 + 0*z + y - 2*z**4 - 10/3*z**3 - 2*z**2. Let f(w) = 0. What is w?
-2, -1, 0
Let i(t) be the third derivative of -t**5/240 + t**3/24 - 7*t**2. Solve i(g) = 0 for g.
-1, 1
Let n(h) = 5*h**2 - 1 + 13*h - 13*h. Let u = -1 - -3. Let f(s) = -s**2 - 1. Let i(y) = u*f(y) + n(y). Factor i(c).
3*(c - 1)*(c + 1)
Let t(y) be the first derivative of 3*y**5/35 - 3*y**4/14 + y**3/7 - 4. Factor t(v).
3*v**2*(v - 1)**2/7
Let h = -31 - -281/9. Solve 0 - 2/9*k - h*k**2 = 0.
-1, 0
Let k(q) be the second derivative of q**5/30 - q**4/6 + q**3/3 - q**2/3 - 9*q. Find r such that k(r) = 0.
1
Let x be (5/135)/((55/30)/11). Determine l, given that 0 + 2/9*l**5 + 0*l + 0*l**2 + 0*l**4 - x*l**3 = 0.
-1, 0, 1
Let c(i) be the second derivative of 0 + 9*i - 1/8*i**2 - 1/80*i**5 - 1/8*i**3 - 1/16*i**4. Factor c(x).
-(x + 1)**3/4
Let z(j) = -8. Let n(s) = s**2 - s + 8. Let l(x) = 4*n(x) + 5*z(x). Find f, given that l(f) = 0.
-1, 2
Find x, given that 0 - 3*x**3 - 