d derivative of z**5/60 + z**4/12 - z**3/6 + 3*z**2 - 11*z. Let s(h) = 2*h**2 + 22*h - 28. Let i(d) = 4*p(d) - s(d). Factor i(y).
2*(y - 4)*(y - 3)
Suppose -n + 15 = 5*a, 2*a = -12*n + 10*n + 14. Factor -329*f**2 + n*f**3 + 136*f**2 + 168*f**2.
5*f**2*(f - 5)
Let b(v) = 11*v**2 - 126*v - 3963. Let i(f) = 31*f**2 - 378*f - 11890. Let d(g) = -17*b(g) + 6*i(g). Find m, given that d(m) = 0.
-63
Factor -5*q**2 - 5178*q + 19310*q - 43956125 - 5378*q + 20896*q.
-5*(q - 2965)**2
Factor -136 + 4/3*a**3 - 9*a**2 - 1639/3*a.
(a - 24)*(a + 17)*(4*a + 1)/3
Determine m so that 2671 + 5089 - 4120*m - 13*m**2 - 3620*m + 1933*m**2 + 5*m**3 = 0.
-388, 2
Let r = -21164/3 - -7138. Factor -880/3*g + 35/6*g**2 + r.
5*(g - 50)*(7*g - 2)/6
Find k such that 314*k**2 + 599 - 2749 - 316*k**2 - 41*k - 2111*k = 0.
-1075, -1
Let g be (-4)/(-42)*56/20 + 20/90. Let f(u) be the first derivative of -g*u**5 + 0*u**2 + 0*u**3 - 36 - 1/27*u**6 + 0*u - 5/9*u**4. Factor f(t).
-2*t**3*(t + 1)*(t + 10)/9
Factor -575*w + 81*w**2 - 35*w**3 + 462*w**2 - 90 - 163*w**2.
-5*(w - 9)*(w - 2)*(7*w + 1)
Let o(c) be the first derivative of 84 + 0*c**2 + 2*c - 2/3*c**3. Determine m so that o(m) = 0.
-1, 1
Let q(r) be the second derivative of 2*r**6/15 - 5*r**5 - 227*r**4/12 + 50*r**3 - 81*r**2/2 - 14*r - 11. Factor q(c).
(c - 27)*(c + 3)*(2*c - 1)**2
Let y be 144/792 + 26754/110 + 143/(-11). Factor -96/5*c - y - 2/5*c**2.
-2*(c + 24)**2/5
Let p = 361699/10 + -36122. Let v = p - 232/5. Determine l so that -2*l + 1/2*l**2 + v = 0.
1, 3
Suppose -22/7*p**5 + 0 + 16/7*p**4 + 142/7*p**3 - 16/7*p**2 - 120/7*p = 0. What is p?
-2, -1, 0, 1, 30/11
Let i be 322/7084 - 338/(-308). Solve 2/7*a**4 - i*a**3 - 4/7*a + 0 + 10/7*a**2 = 0.
0, 1, 2
Let p be (-72)/(-120)*6846/(-9). Let w = p + 458. Solve 14/5*n**4 + w*n + 0 - 38/5*n**3 + 16/5*n**2 = 0.
-2/7, 0, 1, 2
Let z(v) be the second derivative of v**8/3360 + v**7/900 - 7*v**6/450 - v**5/25 + 31*v**4/6 + 66*v. Let n(i) be the third derivative of z(i). Solve n(w) = 0.
-3, -2/5, 2
What is n in -281 - 144*n**2 + 119*n**2 - 109 - 387*n + 28*n**2 = 0?
-1, 130
Let k = 64 + -52. Suppose 0 = -11*b + 5*b + k. Let -5 + z**4 + b + 4*z**2 + 3*z - 3*z**3 + 5*z**2 - 7*z**4 = 0. What is z?
-1, 1/2, 1
Let n = 408361/2 + -204180. Suppose 3*m**3 + n*m + 2*m**4 + 1/2*m**5 + 2*m**2 + 0 = 0. Calculate m.
-1, 0
Let g(k) be the second derivative of -11*k - 7*k**2 + 0*k**3 - 1/15*k**5 + 0*k**4 + 0 + 1/120*k**6. Let i(b) be the first derivative of g(b). Factor i(r).
r**2*(r - 4)
Let g(x) = -8*x**5 + 3*x**4 - 14*x**3 - 9*x**2 + 40*x + 42. Let m(n) = n**5 + 2*n**4 - 2*n**3 - 2*n**2 + n - 3. Let q(t) = -g(t) - 6*m(t). Solve q(b) = 0 for b.
-1, -1/2, 2, 3, 4
Let g be ((-2)/6)/(2/12). Let m(t) = 2*t**3 + 14*t**2 - 4*t - 12. Let j(u) = -3*u**3 - 27*u**2 + 8*u + 22. Let o(x) = g*j(x) - 5*m(x). Solve o(n) = 0 for n.
-4, -1, 1
Let r(p) be the first derivative of -2*p**5/15 + 7*p**4/3 + 22*p**3/3 - 14*p**2/3 - 64*p/3 - 2360. Find q, given that r(q) = 0.
-2, -1, 1, 16
Let v(o) be the first derivative of -o**3/2 + 6*o**2 + 30*o + 2867. Factor v(r).
-3*(r - 10)*(r + 2)/2
Suppose 53*u = 13*u. Let c(d) be the first derivative of 0*d**3 + u*d + 0*d**2 - 10 + 1/20*d**5 - 1/8*d**4. Solve c(o) = 0.
0, 2
Let f(y) be the second derivative of -49*y**2 + 0 + 21*y**3 - 5/2*y**4 + 152*y + 1/10*y**5. Factor f(u).
2*(u - 7)**2*(u - 1)
Let q(x) = 9*x**3 + 2*x**2 + 51*x + 18. Let p(z) = -z**3 - 2*z**2 - 5*z + 1. Let n(a) = 8*p(a) + q(a). Factor n(m).
(m - 13)*(m - 2)*(m + 1)
Let t(y) = -10*y**2 + 5*y + 21. Let w be t(-6). Let j = -359 - w. Factor 2/3*a**3 + 50*a + 250/3 + j*a**2.
2*(a + 5)**3/3
Factor -960/7 - 124/7*q - 4/7*q**2.
-4*(q + 15)*(q + 16)/7
Find s such that -3/2*s**2 - 216 - 111*s = 0.
-72, -2
Let s(q) = q**5 - 15*q**4 - 15*q**3 - 5*q**2. Let d = 9 - 5. Let v(p) = 7*p**4 + p**2 + 8*p**d + 4*p**2 + 15*p**3. Let z(w) = -5*s(w) - 6*v(w). Factor z(l).
-5*l**2*(l + 1)**3
Let r(o) be the second derivative of -o**7/147 - 3*o**6/35 - o**5/10 + 23*o**4/14 + 152*o**3/21 + 12*o**2 + 5*o + 47. Solve r(w) = 0.
-7, -2, -1, 3
Let j(f) = f**2 - 4*f. Let z be j(4). Suppose -2 = -h - 5*g, -4*h - g + 2*g + 8 = z. Factor -18*i + 0*i**2 - 10*i**h - 5*i**3 - 23*i + 36*i.
-5*i*(i + 1)**2
Find p such that 213/4*p - 1/4*p**3 + 0 - 17*p**2 = 0.
-71, 0, 3
Let k be 12*(-7)/105 + 44/30. Let t = 1246 + -1244. Factor -96 - 16*u - k*u**t.
-2*(u + 12)**2/3
Let z(t) be the first derivative of 39/28*t**4 + 6/7*t**2 - 12 + 1/14*t**6 - 18/35*t**5 + 0*t - 12/7*t**3. Let z(j) = 0. Calculate j.
0, 1, 2
Let c be (-2100)/(-1036) + (-113)/4181. Factor -9/5*n**3 - 3/5*n**4 - 9/5*n**c - 3/5*n + 0.
-3*n*(n + 1)**3/5
Let w(s) be the first derivative of 7*s**6/30 - 184*s**5/25 + 9*s**4/4 + 184*s**3/15 - 26*s**2/5 + 1248. Solve w(o) = 0.
-1, 0, 2/7, 1, 26
Factor -34/3*a + 5/3*a**2 + 7/3*a**3 - 32/3.
(a + 1)*(a + 2)*(7*a - 16)/3
Let j(d) be the third derivative of -d**7/840 - d**6/40 - 7*d**5/48 - d**4/4 - 489*d**2 - d. Factor j(p).
-p*(p + 1)*(p + 3)*(p + 8)/4
Let t = -205 + 243. Determine n so that -3*n**2 + 0*n**2 + 2*n**2 - 1055*n - t + 1076*n = 0.
2, 19
Let s = -94207 + 94213. Factor 0 + 78/5*b**3 + 74/5*b**2 + 24/5*b + s*b**4 + 2/5*b**5.
2*b*(b + 1)**3*(b + 12)/5
Let y(t) = -t**5 - t**4 + t. Let i(v) = -2*v**5 + 11*v**4 + 13*v**3 - 252*v**2 + 327*v. Let w(r) = 5*i(r) - 15*y(r). Find g such that w(g) = 0.
-9, 0, 2
Suppose -1470 = 31*w - 66*w. Let q be 124/w - (-98)/(-343). Solve -4/3*h - 4/3*h**2 + q = 0.
-2, 1
Let t = -148 + 151. Suppose -4*r + 35 = t*r. What is h in 2/13*h**r - 2/13*h**3 + 0 + 0*h + 4/13*h**4 - 4/13*h**2 = 0?
-2, -1, 0, 1
Let i be (-3995)/(-423) + (10 - 1 - 18). Factor 2/9*g**2 - i*g**3 + 4*g - 2.
-2*(g - 3)*(g + 3)*(2*g - 1)/9
Factor 439 + 4445*t - 13*t**2 + 8*t**2 + 1261 - 3605*t.
-5*(t - 170)*(t + 2)
Let p = -369649 - -2587559/7. Suppose p*g**3 + 8/7 - 4*g - 20/7*g**2 = 0. Calculate g.
-1, 1/4, 2
Let v(b) be the first derivative of -2*b**5/95 + 5*b**4/38 + 2*b**3/57 - 5*b**2/19 + 432. Find z such that v(z) = 0.
-1, 0, 1, 5
Let o be (8880/5920)/((-2)/(-4)). What is c in -4/9*c - 2/3*c**5 - 2/9*c**2 + 2/9*c**4 + 10/9*c**o + 0 = 0?
-1, -2/3, 0, 1
Let b be 60/63 + (-4)/14. Let m(c) = -6608*c + 158594. Let o be m(24). Factor -2/15*z**o + b*z - 4/5.
-2*(z - 3)*(z - 2)/15
Suppose 5*n - 2*m = 4*n, 0 = -5*n + 4*m. Suppose 4*u + 10 = -3*t - n, 5*t - 5*u - 30 = 0. Solve -4/7*c**3 + 0*c + 0 - 8/7*c**t = 0.
-2, 0
Let v(w) be the second derivative of 0*w**4 - 14/5*w**5 + 0*w**2 + 44*w - 2/3*w**6 - 3 + 0*w**3 + 2/21*w**7. Let v(h) = 0. What is h?
-2, 0, 7
Determine o so that -390*o**5 + 16*o**4 - o**3 - 16*o**2 - 3*o**3 + 394*o**5 = 0.
-4, -1, 0, 1
Let g = -15763 + 15782. Let s(j) be the third derivative of g*j**2 + 0*j**3 - 1/36*j**4 + 0 - 1/180*j**6 + 0*j + 1/45*j**5. Factor s(c).
-2*c*(c - 1)**2/3
Let x(w) be the third derivative of 10/3*w**5 - 8 + 0*w**3 + 0*w**4 - 59/6*w**6 + 7*w**2 + 0*w + 32/15*w**7 - 11/84*w**8. Factor x(n).
-4*n**2*(n - 5)**2*(11*n - 2)
Let l(z) = z + 11. Let j be l(-7). Suppose 0 = 5*x - 10, -p = 5*x - 11 - j. Solve -7*h**4 + p*h - 5*h - 4*h**3 - 5*h**4 + 12*h**2 - 4*h**5 + 8*h = 0 for h.
-2, -1, 0, 1
Determine y so that 6*y**3 + 3*y + 105731*y**2 - 105739*y**2 - 11*y = 0.
-2/3, 0, 2
Let p be (6 - (-68)/(-18)) + -29 + (-3626)/(-126). Factor j + 12 - 1/2*j**p.
-(j - 6)*(j + 4)/2
Let f be ((-7856)/(-1472) - (-2)/(-8)) + -5. Let y = 55/161 + f. Find m such that -60/7*m - y*m**4 - 54/7*m**2 - 24/7 - 3*m**3 = 0.
-2, -1
Let h(t) be the second derivative of -9/2*t**3 + t - 21/20*t**5 + 17/4*t**4 - 1/10*t**6 + 6 + 0*t**2. Factor h(o).
-3*o*(o - 1)**2*(o + 9)
Let l(d) be the first derivative of 5*d**6/12 - 204*d**5/5 + 641*d**4/8 - 13*d**3 - 40*d**2 + 563. Let l(u) = 0. What is u?
-2/5, 0, 1, 80
Let d(g) = -11*g**2 - 321*g - 1486. Let n(a) = 300*a**2 + 8665*a + 40115. Let k(j) = -55*d(j) - 2*n(j). Factor k(u).
5*(u + 5)*(u + 60)
Let t(o) be the first derivative of -4*o**5/5 + 55*o**4/2 + 56*o**3/3 - 501. Factor t(l).
-2*l**2*(l - 28)*(2*l + 1)
Let h = 27 - 14. Let p = 20 - h. Suppose 10*w + 8*w**2 - 5*w**3 - 28*w**2 + 8*w**2 + p*w**2 = 0. What is w?
-2, 0, 1
Find w, given that 94/3*w + 0 + 2/3*w**2 = 0.
-47, 0
Let c(o) = 16*o**3 - 16*o**2 - 19*o - 11. Let d(l) = -11 + 3*l**3 + 24 - 9 - 6 - 3*l**2 - 4*l. Let z(w) = -6