/5*v = 0. Calculate v.
0, 2/7
Let f be (-18)/(-40) - (-4)/(-20). Let s = -4 + 6. Factor 1/4 + q**3 + 3/2*q**s + q + f*q**4.
(q + 1)**4/4
Let d(u) be the first derivative of u**5/15 - u**4/2 + 13*u**3/9 - 2*u**2 + 4*u/3 - 8. Let d(l) = 0. What is l?
1, 2
Let u(f) be the third derivative of f**8/2352 - 2*f**7/735 + f**6/168 - f**5/210 + 28*f**2. What is t in u(t) = 0?
0, 1, 2
Suppose 102 = -5*p + 3*v, -14 + 54 = -2*p + v. Let j be (p/12)/((-3)/1). Factor j*a**3 + 0*a**2 - 1/2*a + 0.
a*(a - 1)*(a + 1)/2
Let f = -43/3 - -131/9. Factor f*n**2 + 2/3*n**3 + 2/9*n**5 + 0*n + 0 + 2/3*n**4.
2*n**2*(n + 1)**3/9
Suppose k - 16 = 3*f, 4*k - 3*f + 13 = 41. Factor -52*y - 8*y**5 - 13*y**k - 36*y**3 + 48*y - 20*y**2 - 15*y**4.
-4*y*(y + 1)**3*(2*y + 1)
Let a(n) = -n**4 + n**2 + n - 1. Let u(m) = 35*m**4 + 40*m**3 + 90*m**2 + 130*m + 110. Let i(c) = -30*a(c) - u(c). Factor i(z).
-5*(z + 2)**4
Suppose 6*v + 2*v**4 - 11*v**3 - 6*v + v**5 + 10*v**3 - 2*v**2 = 0. Calculate v.
-2, -1, 0, 1
Let b(o) be the third derivative of -o**7/5040 + o**6/360 - o**5/60 + 5*o**4/24 - 10*o**2. Let t(s) be the second derivative of b(s). What is m in t(m) = 0?
2
Let u(n) be the first derivative of 0*n**2 - 1/3*n**3 + 2 + n. Determine x so that u(x) = 0.
-1, 1
Suppose 5 = 4*l + l. Let u(n) be the first derivative of -l + 2/5*n**5 + 0*n**2 - 5/6*n**6 - 2/3*n**3 + 5/4*n**4 + 0*n. Find g, given that u(g) = 0.
-1, 0, 2/5, 1
Let v(i) be the first derivative of 2*i**6/3 + 4*i**5/5 - i**4 - 4*i**3/3 + 4. Solve v(f) = 0.
-1, 0, 1
Suppose 10*d - 6*d = 180. Solve -20*y**4 + d*y**3 + 3*y**3 - 48*y - y**2 + 0*y**2 + 5*y**2 + 16 = 0.
-1, 2/5, 1, 2
Factor 3/5 + 6/5*m**2 + 3/5*m**5 + 6/5*m**3 - 9/5*m**4 - 9/5*m.
3*(m - 1)**4*(m + 1)/5
Let j(l) = -l**2 - 13*l - 9. Let p be j(-12). Suppose p*k + 2 = 4*k. Factor 0*u + k*u**4 + 4/3*u**3 + 0 - 2/3*u**2.
2*u**2*(u + 1)*(3*u - 1)/3
Suppose 4*v**3 - 6*v**4 + 7*v**5 - 2*v**3 - 3*v**4 = 0. Calculate v.
0, 2/7, 1
Let y(p) = -p - 9. Let z be y(-12). Factor 4*d - 2*d**2 - 2*d**z + 4*d**2 + 0*d**2.
-2*d*(d - 2)*(d + 1)
Suppose -a = 4*a - 2*t - 100, 0 = -2*a - 2*t + 40. Suppose 0 = 2*y + 3*y - a. Factor 0*j**2 - 2/9*j**y + 0*j**3 + 0 + 0*j.
-2*j**4/9
Let u(f) be the second derivative of -2*f**7/21 + 8*f**6/15 - 6*f**5/5 + 4*f**4/3 - 2*f**3/3 - 25*f. Solve u(g) = 0 for g.
0, 1
Suppose b**4 - 2*b**3 + b**3 + 0*b**4 = 0. What is b?
0, 1
Let w(f) = -9*f**4 + 13*f**3 - 13*f**2 - 13*f - 13. Let m = -12 + 18. Let t(g) = -2*g**4 + 3*g**3 - 3*g**2 - 3*g - 3. Let d(i) = m*w(i) - 26*t(i). Factor d(s).
-2*s**4
Suppose -4*w + 10 = 5*y - 5, -15 = -5*y - w. Find f, given that -3 + y + 43*f**2 + 7*f**2 - 8 = 0.
-2/5, 2/5
Let b(j) = 12*j**2 - 4*j. Let u(g) = -8*g**2 + 2*g - 2. Let m be u(1). Let v(h) = h**2 + h - 1. Let i(a) = m*v(a) + b(a). Let i(p) = 0. What is p?
1, 2
Suppose 4*p = 6*p - 26. Suppose -3*g + 6 = -5*z, -5*g = -z - p + 3. Find c such that -8/3*c**5 - 2/3*c**2 + 14/3*c**4 + z + 0*c - 4/3*c**3 = 0.
-1/4, 0, 1
Let p(i) be the second derivative of i**5/110 - i**4/33 + 45*i. Factor p(k).
2*k**2*(k - 2)/11
Let p be (-4)/1*(-1)/2. Factor 6 - 4 + 2 - 2*n - 12*n**p.
-2*(2*n - 1)*(3*n + 2)
Let h(t) be the first derivative of -t**4/3 + 8*t**3/9 + 2*t**2 + 24. Factor h(r).
-4*r*(r - 3)*(r + 1)/3
Let m(s) be the first derivative of -s**4/22 - 14*s**3/33 - 15*s**2/11 - 18*s/11 - 7. Let m(h) = 0. Calculate h.
-3, -1
Let p(d) be the first derivative of d**3/18 - d**2/12 - 11. Determine b so that p(b) = 0.
0, 1
Let q(c) = 4*c**3 - 3*c**2 - 4*c + 1. Let b be q(3). Let t = b - 628/9. Factor -4/9*h**2 - 2/9*h**3 - t*h + 0.
-2*h*(h + 1)**2/9
Let o(v) = v**3 + 3*v**2 - 1. Let f be o(-2). Solve -18*n - f*n**4 + 3*n + 6 + 3*n**3 + 30*n**2 - 21*n**2 = 0.
-2, 1
Let a(z) be the third derivative of -z**8/105 + 8*z**7/525 + z**6/50 - 4*z**5/75 + z**4/30 + 19*z**2. Suppose a(g) = 0. What is g?
-1, 0, 1/2, 1
Let j(w) be the first derivative of 1/4*w**2 - 1/6*w**3 - 3 + 1/10*w**5 + 0*w - 1/8*w**4. Factor j(i).
i*(i - 1)**2*(i + 1)/2
Let z = -36/11 - -155/44. Let k(d) be the first derivative of 3 + d - 1/3*d**3 - 1/2*d**2 + z*d**4. Factor k(c).
(c - 1)**2*(c + 1)
Find i such that 40/9*i - 64/9*i**2 - 56/3*i**3 + 4/3 + 20*i**4 = 0.
-1/3, 3/5, 1
Let s be 2/(8 - 87/12). Find z such that s - 4*z + 4/3*z**2 = 0.
1, 2
Let c(p) = -p - 1. Let d be c(-6). Factor -7*f**d - 2*f**2 + 5*f**5 + 0*f**2 + 2*f**3 + 2*f**4.
-2*f**2*(f - 1)**2*(f + 1)
Let b(g) = -4*g**3 - 6*g + 2. Let m(u) = -3*u**3 + u**2 + 2*u + 3*u - 1 + 6*u**3. Let w(k) = -3*k - 3. Let q be w(-2). Let o(c) = q*m(c) + 2*b(c). Factor o(t).
(t + 1)**3
Factor 3/2*c - 1/4 - c**2 + 5/4*c**4 - 3/2*c**3.
(c - 1)**2*(c + 1)*(5*c - 1)/4
Let a(o) be the first derivative of 1/5*o**6 - 2*o**3 + 2*o**4 - o**5 + 2*o + o**2 + 1. Let b(d) be the first derivative of a(d). Factor b(m).
2*(m - 1)**3*(3*m - 1)
Let s(n) be the first derivative of -2/5*n**5 + 5/39*n**6 + 6 + 0*n + 40/39*n**3 + 8/13*n**2 - 3/13*n**4. What is q in s(q) = 0?
-1, -2/5, 0, 2
Let i(x) be the third derivative of -x**7/126 - x**6/18 - x**5/12 + 5*x**4/18 + 10*x**3/9 - 28*x**2. What is m in i(m) = 0?
-2, -1, 1
Let o(t) be the third derivative of t**6/120 - t**3/6 + 3*t**2. Let g(l) = l**4 + l**2 + 2. Let s be 6*-3*3/(-27). Let y(b) = s*g(b) + 4*o(b). Factor y(f).
2*f**2*(f + 1)**2
Let u(z) be the first derivative of -z**4 + 34. Factor u(x).
-4*x**3
Let q(u) be the second derivative of 0*u**4 + 3/10*u**5 - 6*u + 0 + 0*u**2 - 1/14*u**7 + 0*u**3 + 1/10*u**6. Factor q(w).
-3*w**3*(w - 2)*(w + 1)
Let y(g) = -4*g**2 - 2*g. Let b(h) be the second derivative of -5/6*h**3 + h + 0 + 0*h**2 - 11/12*h**4. Let p(a) = 3*b(a) - 8*y(a). Factor p(t).
-t*(t - 1)
Solve -5*c**3 + 3*c + 5*c**3 + 3*c**3 + 6*c**2 + 0*c = 0 for c.
-1, 0
Let y(n) = 2*n**2 - 16*n + 18. Let j be y(7). Factor 0*f - 1/7*f**j - 1/7*f**3 + 0 + 1/7*f**2 + 1/7*f**5.
f**2*(f - 1)**2*(f + 1)/7
Suppose 7/4*u**3 + 0*u + 0 - 1/2*u**2 - 5/4*u**4 = 0. Calculate u.
0, 2/5, 1
Let t(m) = -2*m**4 + 3*m**3 - m**2 - 3*m + 3. Let j(c) = c**3 - c**2 - c + 1. Let n(b) = -3*j(b) + t(b). Factor n(y).
-2*y**2*(y - 1)*(y + 1)
Let z(a) be the second derivative of -7*a**6/720 - a**5/48 + a**4/24 + a**3/2 + 3*a. Let p(k) be the second derivative of z(k). Solve p(w) = 0 for w.
-1, 2/7
Let p be -3 - 72/(-27) - (-2)/6. Let d(c) be the third derivative of -1/600*c**6 - 1/60*c**4 + 0*c**3 - 1/100*c**5 + 0*c + p - 2*c**2. What is l in d(l) = 0?
-2, -1, 0
Let c(y) be the third derivative of 0 - 1/6*y**4 + 1/3*y**3 + 2*y**2 + 0*y + 1/30*y**5. Factor c(w).
2*(w - 1)**2
Let d(w) be the first derivative of 1 - 4/3*w - 2/9*w**3 + w**2. Factor d(h).
-2*(h - 2)*(h - 1)/3
Suppose -7/3*t + 2/3 + t**3 + 2/3*t**2 = 0. Calculate t.
-2, 1/3, 1
Suppose v + 1 = r - 1, -15 = -3*v - 4*r. Let b be (-65)/(-20) - v/4. Factor 0*w + 0*w**b + 2/5*w**4 + 0 + 0*w**2.
2*w**4/5
Let c(w) = 3*w**4 - w**3 + w**2 + w + 4. Let q(y) = -15*y**4 + 6*y**3 - 6*y**2 - 6*y - 21. Let d(r) = 21*c(r) + 4*q(r). Factor d(h).
3*h*(h - 1)*(h + 1)**2
Determine s, given that 1/3*s**2 - 4/3*s + 4/3 = 0.
2
Let n(y) = y**2 + 10*y + 16. Let q be n(-8). Let r(d) be the first derivative of 2/15*d**5 + q*d**3 + 1/6*d**4 + 0*d**2 + 2 + 0*d. Factor r(s).
2*s**3*(s + 1)/3
Let o = -63 + 442/7. Find x such that 1/7*x - o*x**3 - 2/7 + 2/7*x**2 = 0.
-1, 1, 2
Suppose 2 - 15/2*h + 3/2*h**3 + 4*h**2 = 0. What is h?
-4, 1/3, 1
Let i(w) be the first derivative of -1/3*w**2 - 1/9*w**3 - 1/72*w**4 + 4*w - 2. Let x(t) be the first derivative of i(t). Factor x(c).
-(c + 2)**2/6
Find f such that 0 - 4*f**2 + 7/2*f**3 - 2*f + 5/2*f**4 = 0.
-2, -2/5, 0, 1
Suppose 7*i - 7 = 21. Let y(f) be the second derivative of 1/18*f**i + 0*f**3 - 2*f + 0 + 1/30*f**5 + 0*f**2. Factor y(o).
2*o**2*(o + 1)/3
Suppose 6 = 2*z - 2. Solve 2*k**5 + 5*k**4 - k**3 + 3*k**3 - 9*k**z = 0.
0, 1
Let n(x) be the second derivative of -2*x**4/45 - x**3/9 - x**2/15 + 2*x. Factor n(p).
-2*(p + 1)*(4*p + 1)/15
Let d(g) be the first derivative of -g**5 - 25*g**4/4 - 5*g**3 + 45*g**2/2 - 17. Determine z so that d(z) = 0.
-3, 0, 1
Let m(b) = -7*b**3 - 23*b**2 + 27*b. Let y(c) = 36*c**3 + 116*c**2 - 136*c. Let t(j) = -16*m(j) - 3*y(j). Factor t(a).
4*a*(a - 1)*(a + 6)
Let y be ((-1)/2)/((-2)/8). Suppose -d - 2*w = 3*w - 27, 5 = w. Suppose -u**2 - 2*u + d*u**y + u**3 + 3*u**