r**2.
4*r*(r - 1)**2*(r + 2)
Let n be 1/5 - (-216)/120. Let v(o) be the first derivative of 0*o + 1/24*o**6 + 0*o**3 + 0*o**2 + 0*o**5 - 1/16*o**4 + n. Factor v(x).
x**3*(x - 1)*(x + 1)/4
Factor 0*h**4 + 2*h**3 + 2*h**4 - 4*h**4 + 526*h**2 + 6*h**3 - 8*h - 524*h**2.
-2*h*(h - 4)*(h - 1)*(h + 1)
Let o be (2/(-4))/((-3)/(-42)). Let t = -5 - o. Solve k**2 + 5*k**3 + 2*k**2 - 3*k**3 - k**t = 0.
-1, 0
Let o = 229/6 + -227/6. Let 0 + 1/3*g**2 - o*g = 0. What is g?
0, 1
Let j(f) be the third derivative of f**6/90 + 2*f**5/45 - 2*f**4/9 - 16*f**3/9 - 458*f**2. Suppose j(b) = 0. Calculate b.
-2, 2
Let s(f) = f**3 - 8*f**2 + 9*f + 3. Let j be s(7). Factor -17*r + 9*r**4 + j*r - r**4 + 4*r**5.
4*r**4*(r + 2)
Let o(y) be the second derivative of -5*y**4/12 + 95*y**3/3 + 195*y**2/2 + 2*y - 375. Factor o(q).
-5*(q - 39)*(q + 1)
Let b(m) = 8*m - 6. Let g be b(-11). Let l = -94 - g. Factor 2/7 + l*a**3 + 2/7*a**4 - 4/7*a**2 + 0*a.
2*(a - 1)**2*(a + 1)**2/7
Let l = 0 - -23. Factor 17 + 2 + 1 + 28*c**2 - l*c - 4*c**3 - 21*c.
-4*(c - 5)*(c - 1)**2
Let c = 202 - 190. Let n be 72/c - (15/4)/(-5). Factor -3/4*i**5 - 21/4*i**2 + 0 - 15/4*i**4 - n*i**3 - 3/2*i.
-3*i*(i + 1)**3*(i + 2)/4
Let i(c) be the first derivative of -2*c**3 - 3/2*c**4 + 2/5*c**5 + 11*c**2 - 5 - 12*c. Factor i(q).
2*(q - 3)*(q - 1)**2*(q + 2)
Let d(l) be the third derivative of l**9/6048 - l**7/1680 + 13*l**3/6 + 13*l**2. Let j(m) be the first derivative of d(m). Factor j(k).
k**3*(k - 1)*(k + 1)/2
Let s(p) = p**5 + p**2 - 1. Let o(j) = 4*j**5 - 74*j**4 + 1576*j**3 - 7757*j**2 + 14416*j - 9251. Let d(r) = 5*o(r) - 15*s(r). Factor d(i).
5*(i - 34)**2*(i - 2)**3
Let i(n) be the first derivative of -n**7/420 - n**6/180 + n**5/12 - n**4/4 - 13*n**3/3 - 18. Let j(h) be the third derivative of i(h). Factor j(c).
-2*(c - 1)**2*(c + 3)
Solve 4/5 - 4/5*u + 4/5*u**4 - 4/5*u**5 - 8/5*u**2 + 8/5*u**3 = 0.
-1, 1
Let l(m) be the first derivative of m**7/84 - m**5/40 + 7*m + 6. Let p(s) be the first derivative of l(s). Factor p(j).
j**3*(j - 1)*(j + 1)/2
Let n = 5 + -2. Let h(q) = -4*q. Let k be h(-1). Find m, given that -7*m - k*m**2 + m**2 - 2*m - n*m - 9 = 0.
-3, -1
Let v be (-4 + 460/70)/(3/6 + 1). What is c in 0 + v*c**2 - 4/7*c + 4/7*c**4 - 12/7*c**3 = 0?
0, 1
Let t be 7 + (4 - 21) + 14. Let i(w) be the third derivative of 0*w - 2/15*w**5 - 5/12*w**4 - 1/60*w**6 + 0 - 2/3*w**3 - t*w**2. Let i(u) = 0. What is u?
-2, -1
Let f be 12*1 - (-2 - -6). Let y be (33/(-44))/((-15)/f). Let 1/5*b**3 + 0 + y*b**2 + 1/5*b = 0. Calculate b.
-1, 0
Let h(b) be the first derivative of 0*b + 5/6*b**6 + 45/2*b**2 + 30 - 4*b**5 - 5/2*b**4 + 20*b**3. Let h(x) = 0. What is x?
-1, 0, 3
Let i(l) be the second derivative of -l**5/5 + l**4 + 26*l**3/3 - 30*l**2 + 60*l. Determine n, given that i(n) = 0.
-3, 1, 5
Let l(q) = q**2 - q + 14. Let w be l(0). Let s = -12 + w. Factor 0*r + 3*r - 4 + r - 2*r + s*r**2.
2*(r - 1)*(r + 2)
Let y = 12126 - 157630/13. Solve y*l**2 + 0 + 2/13*l**3 + 8/13*l = 0.
-2, 0
Suppose 3*l + 5*t = -2*l + 65, 0 = -5*l + 5*t + 55. Let s be 102/16 + (l - 18). Factor 3/8 - s*x**2 + 0*x.
-3*(x - 1)*(x + 1)/8
Let t(l) be the first derivative of -l**6/1800 + l**5/300 - l**4/120 + 11*l**3/3 + 16. Let o(y) be the third derivative of t(y). Factor o(s).
-(s - 1)**2/5
Factor -8/9*s**2 - 4/9*s + 0.
-4*s*(2*s + 1)/9
Solve 30*z**2 + 60*z - 11*z**5 - 12 - 75*z**3 + 26*z**5 + 1 - 13 - 6*z**4 = 0 for z.
-2, -1, 2/5, 1, 2
Suppose -3*j - 1668 = -6*j. Factor -4*a**2 - j*a + 271*a - 4 + 277*a.
-4*(a + 1)**2
Let f(d) be the first derivative of 0*d**3 + 1/2*d**4 + 0*d - 4*d**2 + 7. Solve f(t) = 0.
-2, 0, 2
Let d be (18/4)/(99/198). Let z(v) be the second derivative of -2/21*v**4 + 0 + 2/35*v**5 + d*v + 0*v**3 + 0*v**2 - 1/105*v**6. Let z(c) = 0. Calculate c.
0, 2
Factor 2/3*t + 1/2 + 2/3*t**3 - 7/3*t**2 + 1/2*t**4.
(t - 1)**2*(t + 3)*(3*t + 1)/6
Let f(t) = -11*t**3 - 13*t**2 - t - 12. Let n(z) = 5*z**3 + 6*z**2 + z + 6. Let i(l) = -6*f(l) - 13*n(l). Let i(u) = 0. What is u?
-2, -1, 3
Let a be 14/20 + 2/(-4). Let m = 15851/5 - 3170. What is c in 0 + 3/5*c**5 - a*c**2 - 3/5*c**3 + 0*c + m*c**4 = 0?
-1, -1/3, 0, 1
Let i(v) be the second derivative of -v**6/60 + v**5/40 + v**4/4 - v**3/3 - 2*v**2 + 47*v. Determine m so that i(m) = 0.
-2, -1, 2
Let h(k) = -11*k**2 + 77*k - 167. Let g(d) = 27*d**2 - 192*d + 417. Let p(r) = -5*g(r) - 12*h(r). Factor p(s).
-3*(s - 9)*(s - 3)
Let r(c) = 4*c**2 - 116*c + 280. Let j(k) = 3*k**2 - 78*k + 187. Let b(d) = -8*j(d) + 5*r(d). Determine f so that b(f) = 0.
3, 8
Let k(n) be the second derivative of -n**5/100 - n**4/12 - 2*n**3/15 + 159*n. What is o in k(o) = 0?
-4, -1, 0
Let j(v) = -3*v - 1. Let k be j(-1). Factor 24*y - 22*y**3 - 16 + 6*y**3 + 5*y**3 - y**k + 5*y**3 - y**4.
-(y - 1)**2*(y + 4)**2
Let w(z) be the second derivative of z**5/170 - 5*z**4/34 + 21*z**3/17 - 49*z**2/17 - 41*z. Factor w(q).
2*(q - 7)**2*(q - 1)/17
Suppose 28 = -21*s + 19*s. Let a be s/(-35) + 4/(-35). Suppose -4/7*v**2 - 2/7*v**3 - a*v + 0 = 0. Calculate v.
-1, 0
Let r(a) be the first derivative of -a**4 + 68*a**3/3 - 60*a**2 - 812. Let r(u) = 0. What is u?
0, 2, 15
Let n(q) be the second derivative of 5*q**4/12 - 95*q**3 + 16245*q**2/2 + 284*q. Suppose n(p) = 0. What is p?
57
Suppose 2 - 8 = -2*d. Factor 0*p**3 - 4*p**d + 5 - p**3 - 5*p**2 + 5*p.
-5*(p - 1)*(p + 1)**2
Let l be (16/(-5))/(-418 - -414). Factor l*v + 6/5 - 2/5*v**2.
-2*(v - 3)*(v + 1)/5
Let k(w) = -229*w + 0 - 3*w**2 + 0 + 228*w. Let t(f) = 7*f**2 + 2*f. Let l(x) = -10*k(x) - 4*t(x). Factor l(y).
2*y*(y + 1)
Let k(r) be the third derivative of -1/9*r**5 + 0*r**4 + 6*r**2 + 0 + 0*r + 1/18*r**6 - 35/144*r**8 + 7/18*r**7 + 0*r**3. Determine p, given that k(p) = 0.
-2/7, 0, 2/7, 1
Factor 9408*r + 4*r**3 - 4*r**3 + 432*r**2 + 4*r**3 - 96*r**2 + 87808.
4*(r + 28)**3
Let n(q) = 72*q**2 + 420*q + 22040. Let x(k) = -7*k**2 + 1. Let c(z) = n(z) + 10*x(z). Let c(u) = 0. Calculate u.
-105
Let i be 2 - 2 - 2 - 1. Let a(f) = -2*f**2 - 5*f + 4. Let v = -253 - -269. Let z(g) = -10*g**2 - 26*g + 20. Let l(w) = i*z(w) + v*a(w). Factor l(c).
-2*(c - 1)*(c + 2)
Let y(r) be the third derivative of -1/6*r**5 + 0 - 1/105*r**7 + 0*r**3 + 1/6*r**4 + 0*r + 1/15*r**6 - 28*r**2. Factor y(n).
-2*n*(n - 2)*(n - 1)**2
Let u(c) = 2*c**4 + 20*c**3 - 18*c**2 - 24*c + 4. Let t(p) = -2*p**4 - 22*p**3 + 18*p**2 + 23*p - 5. Let d(s) = -4*t(s) - 5*u(s). Find h such that d(h) = 0.
-7, -1, 0, 2
Let o(y) = -5*y**5 + 5*y**4 - 40*y**3 + 40*y**2. Let f(c) be the second derivative of c**6/30 - c**4/12 - 22*c. Let a(i) = 20*f(i) + o(i). Solve a(k) = 0.
0, 1, 2
Suppose 0 = 11*c - 18 - 15. Find v such that 432 + 77*v - 2*v**4 + 76*v - 35*v + 34*v**c + 98*v - 180*v**2 = 0.
-1, 6
Suppose -5*v + 0*v + v = 0. Let w(j) = j**2 + j. Let b be w(v). Solve b + 2*a**2 + 2/3*a**4 + 2*a**3 + 2/3*a = 0.
-1, 0
Let c be 4/3*(27/(-6))/1. Let w be (-13)/(351/c)*2/4. Let w*x**4 + 4/9*x**3 + 0*x + 4/9*x**2 + 0 = 0. What is x?
-2, 0
Factor 890 - 297 - 297 - 296 - 20*j**3 - 55*j - 225*j**2.
-5*j*(j + 11)*(4*j + 1)
Factor -3/2*g**5 + 2166 + 12315/2*g**2 - 219/2*g**4 - 6384*g - 3657/2*g**3.
-3*(g - 1)**3*(g + 38)**2/2
Suppose 3*h - 12 = -0. Let o = 2/31 - -27/62. Find i, given that -i**2 - o*i**3 + 1/2*i**h + 0 + 0*i = 0.
-1, 0, 2
Suppose -7 = -4*g + 5*z, -2*g = -5*g - 4*z + 13. Suppose -19*c - 21*c**2 + 38*c**3 + 11*c**g - 14*c - 6 + 11*c**3 = 0. Calculate c.
-2/5, -1/4, 1
Suppose 20 = -17*v + 12*v. Let w be (3 - 7)*(-2 - 6/v). Solve 0 + 2/3*j**3 - w*j - 4/3*j**2 = 0 for j.
-1, 0, 3
Let c be 3/5*8/16. Let y(u) be the third derivative of 0*u - 9*u**3 + 0 - 6*u**2 - c*u**5 + 1/60*u**6 + 9/4*u**4. Determine f so that y(f) = 0.
3
Let h be 3/(-6)*-1 + 9/(-18). Suppose h = -16*q + 22 + 26. Let 21/8*r + 15/8*r**q - 3/8 - 33/8*r**2 = 0. Calculate r.
1/5, 1
What is y in -3*y**2 + 9*y**2 - 2*y**2 - 170*y + y**2 = 0?
0, 34
Let u(a) be the first derivative of -a**4 + 4*a**3/3 + 165. Suppose u(w) = 0. Calculate w.
0, 1
Suppose -12*c - 4 = -7*c + j, 0 = 5*c - 3*j - 12. Find w, given that 2*w**4 - 2/3*w**5 - 2/3*w**3 - 2*w**2 + c + 4/3*w = 0.
-1, 0, 1, 2
Let y(d) be the third derivative of d**8/2520 - d**7/420 + d**6/270 - d**3/3 - 7*d**2. Let x(n) be the first derivative of y(n). Factor x(o).
2*o**2*(o - 2)*(o - 1)/3
Let l(h) be the first