6/240 + 33*z**5/40 - 35*z**4/48 + z**3/12 - 24*z**2. Factor r(m).
(m - 1)**3*(32*m - 1)/2
Let l(d) = -6*d**3 - 7*d**2 - d. Let i = 109 + -107. Let m(c) = 4*c**3 + c - 2*c**2 - c**3 + 6*c**2. Let z(o) = i*l(o) + 5*m(o). Let z(r) = 0. What is r?
-1, 0
Let m(p) be the first derivative of -7*p**5/10 + 3*p**4/2 + 4*p**3 - 4*p**2 - 22*p + 34. Let u(a) be the first derivative of m(a). Let u(w) = 0. Calculate w.
-1, 2/7, 2
Let s(g) be the first derivative of g**5/5 - 11*g**4/4 + 6*g**3 + 196. Factor s(k).
k**2*(k - 9)*(k - 2)
Factor 2/5*t**2 - 4*t - 22/5.
2*(t - 11)*(t + 1)/5
Let y = -308 + 1542/5. Factor -y + 0*n**2 - 3/5*n + 1/5*n**3.
(n - 2)*(n + 1)**2/5
Let g be 45/12*-68*3/(-30). Let a = -251/10 + g. Factor -2/5 - 2/5*l + a*l**2 + 2/5*l**3.
2*(l - 1)*(l + 1)**2/5
Let y(r) = 3*r**2 - 4*r + 4. Let i be y(3). Let 121 + i*c - 3*c**2 - 157 + 5*c = 0. Calculate c.
2, 6
Let q(f) be the third derivative of -2*f**6/15 + 3*f**5/5 - f**4 + 2*f**3/3 + 2*f**2 - 45. Determine d, given that q(d) = 0.
1/4, 1
Let l = 202777/168 + -1207. Let v(y) be the third derivative of -1/420*y**5 + 6*y**2 + 0*y + 1/42*y**3 + l*y**4 + 0 - 1/840*y**6. Factor v(u).
-(u - 1)*(u + 1)**2/7
Let y(x) = x - 60. Let z be y(62). Suppose w**z + 2/5 - 7/5*w = 0. What is w?
2/5, 1
Let k(o) be the first derivative of 9*o**6/160 + 3*o**5/40 - 5*o**4/8 + o**3 - 5*o**2/2 - 3. Let z(m) be the second derivative of k(m). Factor z(h).
3*(h + 2)*(3*h - 2)**2/4
Let y = 1 + 5. Suppose -31 = 6*c - 31. Determine w, given that -y*w**5 + c*w - 44/7*w**4 + 0 + 2/7*w**3 + 4/7*w**2 = 0.
-1, -1/3, 0, 2/7
Let j(g) = g**5 - g**4 + g**3 - g**2 - 1. Let a(b) = -20*b**4 + 55*b**3 + 255*b**2 + 360*b + 155. Let z(f) = a(f) - 5*j(f). Factor z(x).
-5*(x - 4)*(x + 1)*(x + 2)**3
Let u(i) be the first derivative of -i**7/1680 + i**5/240 - 13*i**3/3 + 3. Let n(y) be the third derivative of u(y). Factor n(a).
-a*(a - 1)*(a + 1)/2
Let v(n) be the first derivative of 5/4*n**2 + 2/5*n**5 - n - 1/12*n**6 - 1/2*n**4 - 1/3*n**3 - 17. Solve v(m) = 0 for m.
-1, 1, 2
Let c = 96 + -94. Let t(n) be the second derivative of 8*n + 1/2*n**c + 0 - 1/60*n**6 + 5/12*n**3 - 1/40*n**5 + 1/8*n**4. What is i in t(i) = 0?
-1, 2
Let c be 3 + -4*3/2. Let b be (c - -2)*-2 - -3. Let -6 - 196*j**2 - 67*j + 54*j**b - 16*j**4 - 252*j**3 - 38*j**4 + 9*j = 0. What is j?
-1, -1/3, 3
Suppose 0 = 22*c - 24*c + 2. Suppose 0 = -n - b - c, 5*b + 9 = -2*n - 2*n. What is d in 9*d + 7*d**4 - 2*d**4 - 9*d**3 + 6 - 3*d**4 - 3*d**2 - 5*d**n = 0?
-2, -1, 1
Factor 2/3*n**3 + 4 - 4/3*n**2 - 10/3*n.
2*(n - 3)*(n - 1)*(n + 2)/3
Factor 5/7*x - 3/7 - 1/7*x**2 - 1/7*x**3.
-(x - 1)**2*(x + 3)/7
Let t = -41341 + 41344. Suppose 5/3 + 4/3*i**2 - 1/6*i**t + 19/6*i = 0. Calculate i.
-1, 10
Suppose 2*y = 4*w - 28, 2*y - w - 231 = -235. Factor 10/7*c**4 - 16/7*c**3 + 0 + 2/7*c**y + 4/7*c.
2*c*(c - 1)**2*(5*c + 2)/7
Let x(m) = 2*m**2 + 14*m + 5. Let z(h) = h**2 + h + 5. Let b(r) = -4*x(r) + 12*z(r). Factor b(q).
4*(q - 10)*(q - 1)
Let c be 245/30 + (-13 - -5). Determine l so that -1/6*l - 1/3 - 1/6*l**4 + 1/2*l**2 + c*l**3 = 0.
-1, 1, 2
Let q(i) = i**2 + 9*i + 21. Let v = 114 - 120. Let o be q(v). Determine a, given that 2/3*a**o - 2/3*a**2 + 0 + 0*a = 0.
0, 1
Let c(v) = 3*v**4 + 12*v**3 + 25*v**2 - 8*v. Let s(w) = 2*w**4 + 8*w**3 + 16*w**2 - 5*w. Let q(k) = -5*c(k) + 8*s(k). Factor q(j).
j**2*(j + 1)*(j + 3)
Suppose 3*t + o + 2*o = 9, -5*o = t - 15. Suppose 0 = 27*u - 68 - 13. Factor -2/3*k**2 + 2/3*k**4 + 2/3*k**5 - 2/3*k**u + 0*k + t.
2*k**2*(k - 1)*(k + 1)**2/3
Let y(z) = -11*z**5 - 17*z**4 + 3*z**3 - z**2 - 10*z + 6. Let s(v) = -13*v**5 - 19*v**4 + 3*v**3 - 2*v**2 - 11*v + 7. Let b(o) = 6*s(o) - 7*y(o). Factor b(l).
-l*(l - 4)*(l - 1)**2*(l + 1)
Let s(j) = j**2 - 3*j - 38. Let x be s(-5). Let o(f) be the first derivative of 3/10*f**x - 3/5*f - 5 + 2/5*f**3. Factor o(q).
3*(q + 1)*(2*q - 1)/5
Let k = 831/2 + -415. Factor -c + 3/2*c**2 + 0 - k*c**3.
-c*(c - 2)*(c - 1)/2
Let b(k) be the second derivative of k**6/30 - 7*k**5/30 - 7*k**4/6 - 5*k**3/3 + 13*k**2/2 - 15*k. Let f(c) be the first derivative of b(c). Factor f(d).
2*(d - 5)*(d + 1)*(2*d + 1)
Let o be -2 + ((-36)/(-4) - 2). Let n(u) = -39*u**2 - 84*u - 84. Let d(g) = -11*g**2 - 24*g - 24. Let v(z) = o*n(z) - 18*d(z). Factor v(y).
3*(y + 2)**2
Let w(t) = -2*t**3 - 5*t**2 - 3*t - 4. Let k be w(-3). Suppose -k*q + 18*q = 8. Let -2*n + 6*n**2 - 4*n**3 - n**2 + n**4 + 4*n**2 - 4*n**q = 0. Calculate n.
0, 1, 2
Let l(v) = -v**2 + 4*v - 1. Let t be l(3). Solve 38*a - t - 35*a - 3*a**3 + 2 = 0 for a.
-1, 0, 1
Let d(r) be the second derivative of r**5/30 + 71*r**4/18 + 136*r**3 - 432*r**2 + 132*r. Factor d(j).
2*(j - 1)*(j + 36)**2/3
Let i(s) be the third derivative of -s**9/15120 + s**7/1260 - s**5/120 + s**4/3 - 8*s**2. Let k(y) be the second derivative of i(y). Factor k(d).
-(d - 1)**2*(d + 1)**2
Let m be (0 + 2)*(-10)/4 + 5. Let j(g) be the second derivative of -6*g + 1/72*g**4 + 1/12*g**3 + m + 1/6*g**2. Let j(r) = 0. Calculate r.
-2, -1
Let n(r) be the third derivative of -r**7/630 - r**6/180 + 13*r**4/24 - 2*r**2. Let s(b) be the second derivative of n(b). Determine t, given that s(t) = 0.
-1, 0
Find x such that 6/5*x**2 + 78/5*x + 72/5 = 0.
-12, -1
Factor 22*d**2 - 229*d**3 + 13*d**2 + 224*d**3 - 30*d.
-5*d*(d - 6)*(d - 1)
Let z(k) be the first derivative of k**3/9 - k**2 - 24*k + 106. Factor z(i).
(i - 12)*(i + 6)/3
Suppose -1/2*q**4 + 0 + 5/2*q**2 + q**3 - 3*q = 0. What is q?
-2, 0, 1, 3
Suppose -7560 = -4*y + 4*m, 0*y + m + 9450 = 5*y. Let u = 13260/7 - y. Determine f so that -u*f**2 - 18/7*f**3 - 2*f - 2/7 = 0.
-1, -1/3
Suppose -7*h = 3*s - 4*h - 108, 20 = -4*h. Let p = 44 - s. What is f in -1/2 - 3/2*f**2 + 3/2*f + 1/2*f**p = 0?
1
Let p = -1138 + 3416/3. Solve p*h**2 - 4/3*h + 0 = 0 for h.
0, 2
Let k(a) be the second derivative of -40*a**2 + 35/12*a**4 + 7*a - 1/4*a**5 + 0 - 20/3*a**3. Let k(r) = 0. Calculate r.
-1, 4
Let d(y) be the third derivative of -y**10/50400 - y**9/25200 + 13*y**4/24 - 19*y**2. Let j(g) be the second derivative of d(g). What is r in j(r) = 0?
-1, 0
Let x be 6*1*(-7)/(-21). Let f(o) be the first derivative of 0*o + 2*o**x + 2 - 4/3*o**3. Factor f(i).
-4*i*(i - 1)
Determine w so that -88/3*w - 14/3*w**3 + 1/3*w**4 - 67/3*w**2 - 12 = 0.
-2, -1, 18
Suppose 0 = 4*f - 4*y - 8, -5*y = f + 440 - 442. What is d in 0*d + 1/2*d**f - 1/2*d**5 + 3/2*d**4 + 0 - 3/2*d**3 = 0?
0, 1
Let k(u) be the first derivative of u**4/2 + 6*u**3 + 24*u**2 + 32*u - 369. Factor k(r).
2*(r + 1)*(r + 4)**2
Let n(p) be the first derivative of p**3/9 - p**2/3 - 8*p/3 - 184. Solve n(w) = 0 for w.
-2, 4
Let v = -2472 - -9891/4. Find s, given that -9/2*s - v + 27/4*s**4 - 6*s**2 + 9/2*s**3 = 0.
-1, -1/3, 1
Factor -2/11*m**2 + 0 + 2/11*m**4 + 0*m**3 + 0*m.
2*m**2*(m - 1)*(m + 1)/11
Let s(x) be the second derivative of 1/16*x**4 + 5/2*x**2 + 0 + 4*x + 0*x**3 - 1/80*x**5. Let t(y) be the first derivative of s(y). Factor t(a).
-3*a*(a - 2)/4
Let o(n) be the first derivative of 2*n**7/63 + n**6/45 - n**5/30 - 22*n + 32. Let w(c) be the first derivative of o(c). Factor w(b).
2*b**3*(b + 1)*(2*b - 1)/3
Factor 631*i**2 + 8*i - 1264*i**2 + 635*i**2.
2*i*(i + 4)
Let c be (-2552)/(-9702) - 6/147. Find a such that 2/3*a**5 - 4/9*a**3 - c*a + 2/9 - 4/3*a**2 + 10/9*a**4 = 0.
-1, 1/3, 1
Let y(p) be the first derivative of 75*p**2 + 35/3*p**3 - 7 + 40*p. Factor y(m).
5*(m + 4)*(7*m + 2)
Let m be 18 - (-12)/(-10)*40/(-12). Suppose -5*a - 26 = -6*x + 2*x, 4*x = 3*a + m. Factor 0 - 6/7*g**3 + 2/7*g**x - 2/7*g + 6/7*g**2.
2*g*(g - 1)**3/7
Let d(r) = 8*r**2 + 12*r + 4. Let m(o) = 9*o**2 + 12*o + 3. Let u(x) = 6*d(x) - 5*m(x). Factor u(p).
3*(p + 1)*(p + 3)
Let i(j) = -26*j**2 + 683*j - 657. Let c(t) = -5*t**2 + 137*t - 132. Let g(f) = 11*c(f) - 2*i(f). Solve g(m) = 0.
1, 46
Let s(d) be the third derivative of 0 - 1/15*d**5 - 1/30*d**6 + 0*d**4 + 8/21*d**7 + 0*d - 5*d**2 + 0*d**3. Factor s(p).
4*p**2*(4*p - 1)*(5*p + 1)
Solve -4/3 - 2/9*k**3 - 2/9*k + 8/9*k**2 = 0.
-1, 2, 3
Factor -3/4*p**2 - 2700 - 90*p.
-3*(p + 60)**2/4
Let g be -4 - (7 + -6)*(-1 - 6). Let t(w) be the second derivative of 0*w**2 + 0*w**g + 2/3*w**4 + 5*w + 0 + 1/5*w**5. Factor t(x).
4*x**2*(x + 2)
Let z(c) be the second derivative of -1/3*c**3 + 0 - 1/6*c**4 + 5*c + 2*c**2. Let z