 1/3*r**4 - 2/3*r**2.
(r - 1)**2*(r + 1)**2/3
Let z(l) = -11*l**2 - 13*l - 12. Let v(k) = -30*k**2 - 38*k - 36. Let o(s) = -3*v(s) + 8*z(s). Factor o(w).
2*(w + 2)*(w + 3)
Let a(k) = -5*k**2 + 78*k + 34. Let z be a(16). Let b(d) be the first derivative of 0*d + 2*d**3 - 3/2*d**4 - d**z + 2/5*d**5 - 7. Solve b(n) = 0.
0, 1
Let p(i) be the second derivative of 2/5*i**2 + 7/30*i**3 + 1/40*i**4 + 0 + 13*i. Factor p(k).
(k + 4)*(3*k + 2)/10
Let h(r) be the second derivative of 3*r**6/70 - 19*r**5/70 + 11*r**4/21 - 4*r**3/21 + 68*r. Let h(n) = 0. What is n?
0, 2/9, 2
Let l(i) be the second derivative of i**6/1440 - i**5/60 + 7*i**4/96 + i**3/6 - 35*i. Let z(s) be the second derivative of l(s). Factor z(n).
(n - 7)*(n - 1)/4
Determine w so that -18050/7 + 380/7*w - 2/7*w**2 = 0.
95
Let y(r) be the first derivative of -1/6*r**4 + 2/45*r**5 + 13 + 0*r**2 + 0*r**3 + 0*r. Let y(f) = 0. What is f?
0, 3
Let h(k) be the third derivative of k**10/252000 - k**9/25200 + k**8/8400 - k**5/10 + 4*k**2. Let o(n) be the third derivative of h(n). What is u in o(u) = 0?
0, 2
Find q such that 68/5*q + 16/5 - 18/5*q**2 = 0.
-2/9, 4
Suppose 175 = 10*l - 3*l. Suppose -8 - 12 = 2*m + 4*d, -5*d = -5*m + l. Let m + 1/7*w**2 + 2/7*w = 0. What is w?
-2, 0
Let i be (0 + 0)*(-1)/(-2). Suppose -2*q - 2 = -2*o - i*o, q = 5*o - 13. Suppose -q*s - 4*s + 8*s + 3*s**2 = 0. Calculate s.
-2/3, 0
Suppose 2*p = -0*j - 5*j - 21, -13 = -4*p + j. Let s(g) = 4*g**2 - 2*g - 6. Let y(h) = -9*h**2 + 4*h + 13. Let v(m) = p*y(m) + 5*s(m). Solve v(d) = 0 for d.
-1, 2
Let p(d) be the third derivative of -d**8/70560 + d**7/8820 + d**6/840 - d**5/10 - 11*d**2. Let g(w) be the third derivative of p(w). Solve g(o) = 0 for o.
-1, 3
Let f(w) be the third derivative of -w**5/30 - w**4/9 - w**3/9 + 6*w**2 + 6*w. Let f(i) = 0. Calculate i.
-1, -1/3
Let t(d) be the second derivative of -d**6/15 + d**5 - 8*d**4/3 + 316*d. Let t(q) = 0. What is q?
0, 2, 8
Let b(y) be the second derivative of -y**7/420 + y**6/36 - y**5/20 + 31*y**4/12 + 41*y. Let g(o) be the third derivative of b(o). Factor g(r).
-2*(r - 3)*(3*r - 1)
Let y = 8 - -28. Let p = -34 + y. Let a**3 + 0 + 2*a**4 + 1/2*a**5 - 3/2*a - 2*a**p = 0. Calculate a.
-3, -1, 0, 1
Let d = 31 + -27. Let y be (-20)/(-8)*d/5. Factor 0 - 1/2*r - 1/2*r**y.
-r*(r + 1)/2
Let q = 17 - 13. Let t(w) be the second derivative of 1/6*w**3 - 1/12*w**q + w**2 + 4*w + 0. Let t(u) = 0. Calculate u.
-1, 2
Let i(j) = -124*j**3 + 22*j**2 + 914*j - 2498. Let f(m) = -11*m**3 + 2*m**2 + 83*m - 227. Let q(d) = 68*f(d) - 6*i(d). Factor q(h).
-4*(h - 4)**2*(h + 7)
Solve 1/3*q**4 + 11/3*q - 2 - q**3 - q**2 = 0.
-2, 1, 3
Let r(z) = 5*z**2 + 88*z + 254. Let h be r(-14). Suppose 0 + 9/2*n - 3/4*n**h = 0. Calculate n.
0, 6
Suppose -9*u + 4*s - 8 = -6*u, 2*s - 4 = 0. Factor 1/2*j**2 + u - 2*j.
j*(j - 4)/2
Let r(b) be the first derivative of b**8/2184 - b**7/1365 - b**6/780 + b**5/390 + 20*b**2 + 5. Let l(u) be the second derivative of r(u). Factor l(x).
2*x**2*(x - 1)**2*(x + 1)/13
Let a = -250 - -254. Let b(w) be the third derivative of 0 + 0*w**3 - 9*w**2 + 1/168*w**8 + 0*w**a + 1/20*w**6 + 0*w + 1/30*w**5 + 1/35*w**7. Factor b(f).
2*f**2*(f + 1)**3
Suppose 4*w - 6*u + 2*u + 16 = 0, 2*u = -3*w + 3. Let h(f) = -4*f**2 + 2*f + 6. Let o(q) = 3*q**2 - 2*q**2 + 0 - 1. Let a(y) = w*h(y) - 2*o(y). Factor a(z).
2*(z - 2)*(z + 1)
Factor -4*c**5 - 10*c - 12*c - 56*c**4 + 22*c.
-4*c**4*(c + 14)
Let h(f) be the second derivative of -f**7/840 + f**6/240 + f**5/20 - 11*f**4/12 - 6*f. Let u(j) be the third derivative of h(j). Find s such that u(s) = 0.
-1, 2
Let g = -95 + 95. Let k(i) be the third derivative of 1/120*i**6 + g + 1/60*i**5 - 1/6*i**3 + 0*i - 2*i**2 - 1/24*i**4. Factor k(m).
(m - 1)*(m + 1)**2
Let h(x) = 2*x**2 - 6*x - 10. Let f(o) = -3*o**2 + 13*o + 21. Suppose -14*i - 75 = i. Let g(d) = i*h(d) - 2*f(d). Factor g(v).
-4*(v - 2)*(v + 1)
Let n(k) = 12*k + 146. Let z be n(-11). Suppose -5*m + 2*c = c - 18, -z = -4*m + c. Solve 12/7*a**3 + 2/7*a**5 - 2*a - 10/7*a**m + 4/7*a**2 + 6/7 = 0.
-1, 1, 3
Let a(d) = -2*d**2 - 37*d + 10. Let o be a(-18). Find n such that 4*n - o*n + n**2 + 48 + 3*n**2 - n**2 = 0.
4
Suppose 200 - 210 = -5*z. Let b(s) be the first derivative of -s**3 + 6*s + 2 - 3/2*s**z. Suppose b(i) = 0. Calculate i.
-2, 1
Let s(j) = -8*j**2 - j + 9*j**2 - 5 + 4. Let b(z) = 8*z**2 - 6*z - 9. Let c(u) = -4*b(u) + 28*s(u). Let c(h) = 0. Calculate h.
-2, 1
Let w(l) be the third derivative of -l**7/210 + l**6/12 + 67*l**5/60 + 29*l**4/6 + 10*l**3 - 44*l**2. Factor w(f).
-(f - 15)*(f + 1)*(f + 2)**2
Let w(z) be the second derivative of z**4/78 - 16*z**3/39 + 64*z**2/13 + 2*z - 52. Determine c, given that w(c) = 0.
8
Let u be (8/20)/((-20)/(-225)). Factor 0 + 6*s**2 - u*s - 3/2*s**3.
-3*s*(s - 3)*(s - 1)/2
Let d be 4 + -11 - -2 - -104. Let n = 101 - d. Determine x, given that 0 - 2/5*x**3 - 2/5*x**n + 0*x = 0.
-1, 0
Suppose 5*i - 19 = -g + 1, 3*i = 9. Factor 0*h + 0 - 1/6*h**2 - 1/6*h**3 + 1/6*h**4 + 1/6*h**g.
h**2*(h - 1)*(h + 1)**2/6
Let n(b) = b**2 + 2*b + 2. Let i(r) = 2*r**2 + 4*r + 10. Let v(d) = i(d) - 5*n(d). Factor v(w).
-3*w*(w + 2)
Let z(q) be the third derivative of -2*q**7/105 + q**6/15 - q**4/3 + 2*q**3/3 + 10*q**2 + 5*q. What is h in z(h) = 0?
-1, 1
Let d = -311326/9 - -34592. Let 40/9*q + 200/9 + d*q**2 = 0. What is q?
-10
Suppose -4*i - 2*k = -6, -4*i + 2 = k - 1. Factor -1/3*r**2 + 0 + i*r.
-r**2/3
Let w be (-2)/6 + -5 + 0 - -6 - 0. Suppose -5*v + 4 = -6. Determine g, given that 22/3*g + w + 121/6*g**v = 0.
-2/11
Factor 208 - 57*u + 74*u**3 - 71*u**3 - 18*u**2 - 136.
3*(u - 8)*(u - 1)*(u + 3)
Find w such that 10/21*w**3 - 4/21 - 2/21*w**4 - 6/7*w**2 + 2/3*w = 0.
1, 2
Let c(l) be the first derivative of l**6/180 + 2*l**5/15 + 37*l**3/3 - 4. Let f(o) be the third derivative of c(o). Factor f(z).
2*z*(z + 8)
Let v = -741/14 + 53. Let k(o) be the second derivative of 3/2*o**2 - 1/2*o**4 + 3/10*o**5 + 0 + 1/10*o**6 + o - v*o**7 - 1/2*o**3. Suppose k(h) = 0. What is h?
-1, 1
Suppose o - 31 = -29. Solve q**4 - 4*q**3 + q**4 - 39*q**o + 41*q**2 = 0.
0, 1
Solve -3 + 67 - 34 + 33 - 60*d - 3*d**2 = 0 for d.
-21, 1
Let u(j) = -j**3 - j**2 - j. Let c(l) = -6*l**3 - 5*l**2 + 3*l - 5. Let v(a) = -c(a) + 5*u(a). Let n be v(-3). Find f such that 0*f + 0 + 2/5*f**n = 0.
0
Let d(a) = -a**3 - 14*a**2 + 8*a - 10. Let c be d(-15). Let k = -92 + c. Factor -1/2*m**4 + 0*m + m**2 + 0 + 1/2*m**k.
-m**2*(m - 2)*(m + 1)/2
Let t be (-24123)/(-46116) + (-8)/(-36). Let f = t + 2/427. Factor f + 3/2*l + 3/4*l**2.
3*(l + 1)**2/4
Suppose -18*f + 781 = -1127. Suppose f*m - 110*m = 0. Let -6/5*k + m - 2/5*k**2 = 0. Calculate k.
-3, 0
Let x(h) = -h**3 + 4*h**2 + h + 7. Let j be x(5). Let p = -11 - j. Determine s so that -3 + 3 + 4*s**3 - 4*s - 2 + p*s**4 = 0.
-1, 1
Let z = 133 + -129. Let h(g) be the third derivative of -1/6*g**3 + 0*g + 0*g**z + 1/60*g**5 + 0 + 3*g**2. Factor h(p).
(p - 1)*(p + 1)
Suppose -4*a + 3*j = 1, -9 = 2*j - 5*j. Let c be (1 - (0 - a)) + -1. Solve -9*p + 2*p**2 - p**2 + 2*p**c = 0.
0, 3
Let s(n) be the third derivative of n**9/720 - 3*n**8/560 - n**7/210 + 2*n**4/3 + 14*n**2. Let i(c) be the second derivative of s(c). Factor i(l).
3*l**2*(l - 2)*(7*l + 2)
Let n(r) = 6*r**2 + 31*r - r**2 + 15 - 5*r**3 - 24. Let a(b) = -b**3 + b**2 + 6*b - 2. Let u(l) = -11*a(l) + 2*n(l). Determine y, given that u(y) = 0.
-2, 1, 2
Let f(o) be the second derivative of 2*o**5/35 - 13*o**4/14 + 74*o**3/21 + 3*o**2 - 4*o - 1. Suppose f(d) = 0. What is d?
-1/4, 3, 7
Let k = 1/1214 - -603/4856. Let x(s) be the first derivative of k*s**3 + 1/8*s**2 - 5 + 1/32*s**4 + 0*s. Find z such that x(z) = 0.
-2, -1, 0
Let m be 5/(15/(-6)) + 0. Let u(g) = 3*g**2 + 5*g. Let b be u(m). Factor -10*w**5 + 6*w**5 + 2*w**3 + b*w**3.
-4*w**3*(w - 1)*(w + 1)
Solve -4 - 44*f**2 + 92*f**2 - 21 + 26*f + 4*f - 53*f**2 = 0.
1, 5
Suppose 2*x + x + z = 8, -7 = -4*x - 5*z. Let v(m) be the first derivative of 4/15*m**x + 4 + 1/10*m**4 + 0*m + 1/5*m**2. Solve v(a) = 0 for a.
-1, 0
Let c be (8/14)/((-98)/343). Let r be c/48*2 - 15/(-20). Factor 2*g + r*g**3 + 2/3 + 2*g**2.
2*(g + 1)**3/3
Let c(f) be the second derivative of 0*f**2 - 10/9*f**4 + 0 - 8/9*f**3 - 3/5*f**5 + 8*f - 1/63*f**7 - 7/45*f**6. Determine k, given that c(k) = 0.
-2, -1,