cond derivative of x(v). Factor o(w).
3*w**2*(w - 2)*(w - 1)**2/8
Let v(k) be the first derivative of 2*k**3/57 - 189*k**2/19 - 20*k - 2000. What is h in v(h) = 0?
-1, 190
Let f(w) be the second derivative of -5*w**4/72 + 1883*w**3/36 - 94*w**2 + 6039*w + 1. Solve f(q) = 0 for q.
3/5, 376
Let s = 353 - 304. Suppose -s = 35*g - 154. Let -4/5 - 4*w**2 + 6/5*w**g + 18/5*w = 0. Calculate w.
1/3, 1, 2
Let w be 45/(-18)*(1 + (-11)/5). Suppose 4*f + 5 = -5*l, -3*f - 2*l + 5*l + w = 0. Find b such that 9/4*b - 3/4*b**3 + f*b**2 + 3/2 = 0.
-1, 2
Let v(p) = -p**3 + 3*p**2 - 1. Let j(q) = 290 + 14*q**2 + 114*q + 19*q + 12*q**3 - 15*q**3 - 8*q**2 + 26*q**2. Let y(h) = 5*j(h) - 20*v(h). Factor y(d).
5*(d + 6)*(d + 7)**2
Let y = 1 + 1. Let d be ((-6)/(-31))/(-3) + 2688/1302. Factor -3*p**3 - 3*p**4 + d*p**y - p**5 + 0*p**4 - 2*p**3 + 1 + 3*p + 3*p**3.
-(p - 1)*(p + 1)**4
Let u(z) be the first derivative of -z**4/10 - 2282*z**3/5 - 3905643*z**2/5 - 2970892442*z/5 + 3424. What is q in u(q) = 0?
-1141
Factor 4 + 707/5*a**2 + 272/5*a.
(7*a + 2)*(101*a + 10)/5
Let b(v) = -23*v - 302. Let h be b(-11). Let r be h/14*(-24)/18. Factor -98/3 - 1/6*t**2 + r*t.
-(t - 14)**2/6
Let x(m) = -7*m + 32. Let s be x(5). Let j be (s + 2 - -2) + 8. Let -a**3 + 5*a**3 - 3*a**3 + 51*a**2 - 45*a**2 + j*a = 0. Calculate a.
-3, 0
Suppose 0*l + 5*q = -2*l + 4, 3*l + 5*q - 11 = 0. Suppose -9*b + 32 = l*b. Factor 21 + 5*s**3 + 33*s - 3 + 42*s**b - 8*s**3 - 30*s**2.
-3*(s - 6)*(s + 1)**2
Determine j, given that 68*j - 191*j - 120*j**2 + 123*j**2 = 0.
0, 41
Find h, given that 16 + 20*h + 30*h + 31*h + 4*h**2 - 128*h + 31*h = 0.
2
Let o(q) = q**2 + 12*q - 62. Suppose 5*t = d + 6, -6*d - 20 = -10*d - 2*t. Let l be o(d). Solve 20/7*y**l + 2/7*y**3 + 50/7*y + 0 = 0 for y.
-5, 0
Let x = 210/31 + -8789/1302. Let t(p) be the first derivative of -1/35*p**5 + 1/21*p**3 + 4/7*p - x*p**6 + 5/28*p**4 - 4/7*p**2 - 30. Factor t(w).
-(w - 1)**3*(w + 2)**2/7
Let t(i) be the second derivative of i**5/4 - 35*i**4/6 - 575*i**3/6 - 250*i**2 - 15*i - 123. Find l, given that t(l) = 0.
-5, -1, 20
Factor 25*n**2 + 49/6 - 74/3*n - 26/3*n**3 + 1/6*n**4.
(n - 49)*(n - 1)**3/6
Let y be (90/(-25))/(-8 - (-1260)/225). Factor -15/2*g + 9 - y*g**2.
-3*(g - 1)*(g + 6)/2
Let u(d) be the third derivative of 0*d**4 + 1/27*d**3 + 0*d + 0 + 12*d**2 - 1/270*d**5. Determine w, given that u(w) = 0.
-1, 1
Find d, given that 187/6*d**4 + 0 + 7/6*d**5 + 243*d**3 - 144*d + 432*d**2 = 0.
-12, -3, 0, 2/7
Let n be 1/(-6) + ((-93)/(-20))/(7146/1985). Let x be (-110)/(-208) + 52/(-338). Suppose -45/8*o - 27/4 - x*o**4 + 21/8*o**2 + n*o**3 = 0. Calculate o.
-2, -1, 3
Suppose 35*k - 24841469 = -24841364. Suppose -1/4*a**4 + 0*a + 29/4*a**k + 0 - 7*a**2 = 0. Calculate a.
0, 1, 28
Let m(p) = 7*p**2 - 21*p + 5. Let y be m(3). Let b(n) be the third derivative of 0 - 1/18*n**4 + 0*n + 0*n**3 + 1/180*n**6 + 1/90*n**y + 16*n**2. Factor b(z).
2*z*(z - 1)*(z + 2)/3
Let u be ((-6)/8)/(-3 - 126/(-48)). Let 178*z**3 + 1056*z - 4*z**4 + 616*z**2 - 944*z**u - 1696*z**2 - 88*z = 0. What is z?
0, 1/2, 22
Solve -354/11*j + 100/11 + 14/11*j**2 = 0 for j.
2/7, 25
Suppose 10*c - 687 + 20 = -19*c. Let a(h) be the third derivative of -1/10*h**6 + c*h**2 + 0*h**3 + 1/12*h**4 + 0*h + 1/20*h**5 + 0 + 1/30*h**7. Factor a(z).
z*(z - 1)**2*(7*z + 2)
Factor 2/3*c**4 + 2/3 - 4/3*c**2 + 0*c + 0*c**3.
2*(c - 1)**2*(c + 1)**2/3
Let b be -9*3*4/(-54). Factor 69*n - b*n**2 - 55*n + 36 - 30*n + n**2.
-(n - 2)*(n + 18)
Let f(d) = -24*d**5 - 19*d**4 + 11*d**3 + 32*d**2. Let v(m) = -2*m**5 - m**4 + m**3 + 2*m**2. Let x(i) = 2*f(i) - 26*v(i). Determine k, given that x(k) = 0.
-1, 0, 1, 3
Let q be 72/48*(-153)/(-102). What is h in -2*h - 1/4*h**3 - q*h**2 + 0 = 0?
-8, -1, 0
Let j(r) = 6*r**4 - 29*r**3 + 11*r**2 - 11. Let x(y) = -y**4 + 6*y**3 - 2*y**2 + 2. Suppose -4*c - 26 = -2. Let k(a) = c*j(a) - 33*x(a). Solve k(o) = 0 for o.
-8, 0
Let k(x) = 34*x**2 + 376*x + 8. Let r(l) = 4*l**2 + 3*l + 1. Let g(v) = k(v) - 8*r(v). Determine u, given that g(u) = 0.
-176, 0
Suppose 2*r + 8 = -4*x, -2*r - 4*x = -2*x. Suppose r*p + 5*w - 35 = 0, -2*w + 3 = -2*p + 7. Factor -15*o**3 + 5*o**2 + 0*o**4 + 5*o**4 + p*o**2.
5*o**2*(o - 2)*(o - 1)
Let z(h) = 3*h**2 + 114*h + 5. Let f(c) = -12*c**2 - 453*c - 21. Let l(u) = 5*f(u) + 21*z(u). Factor l(i).
3*i*(i + 43)
Let j(a) be the first derivative of a**6/3 + 68*a**5 + 4079*a**4 + 156440*a**3/3 + 132641*a**2 + 124820*a + 829. Suppose j(y) = 0. Calculate y.
-79, -10, -1
Suppose -2/21*a**2 + 8 + 80/21*a = 0. What is a?
-2, 42
Let j(q) = q**3 + 4*q**2 - 4. Let l be j(-3). Suppose -l*s + 17 = 2. What is x in 9*x**2 - 19*x**2 - 6*x**2 - 54 + 54*x + 2*x**s - 2*x**2 = 0?
3
Let t(m) be the second derivative of -m**6/105 - m**5/70 + 2*m**4/7 - 4*m**3/21 - 16*m**2/7 + 5386*m. Suppose t(a) = 0. Calculate a.
-4, -1, 2
Let h(j) be the second derivative of 0 + 0*j**3 + 4*j - 1/8*j**4 - 11/120*j**5 + 12*j**2. Let c(v) be the first derivative of h(v). Solve c(a) = 0 for a.
-6/11, 0
Let m(z) be the third derivative of 5329*z**6/10 - 2117*z**5 - 583*z**4/8 - z**3 - 2*z**2 + 9*z. Factor m(p).
3*(p - 2)*(146*p + 1)**2
Let n(s) be the first derivative of s**4 - 41*s**3/3 + 19*s**2/4 + 5*s - 11531. Let n(x) = 0. Calculate x.
-1/4, 1/2, 10
Let i = 44584/222895 + -1/44579. Factor 0 + 9/5*b**2 + 4/5*b + 6/5*b**3 + i*b**4.
b*(b + 1)**2*(b + 4)/5
Let z(c) = 5*c**3 + 347*c**2 + 15468*c - 32403. Let o(a) = -26*a**3 - 1732*a**2 - 77336*a + 162016. Let b(u) = 3*o(u) + 16*z(u). Factor b(g).
2*(g - 2)*(g + 90)**2
Let g(v) be the first derivative of -25*v**2 + 85/3*v**3 + v**5 + 239 + 0*v - 10*v**4. Suppose g(r) = 0. What is r?
0, 1, 2, 5
Factor 1/2*m**2 + 477*m + 227529/2.
(m + 477)**2/2
Let l(t) = 27*t**3 - 497*t**2 - 4322*t - 10650. Let v(h) = 10*h**3 - 166*h**2 - 1438*h - 3550. Let r(q) = 4*l(q) - 11*v(q). Factor r(z).
-2*(z + 5)**2*(z + 71)
Factor 0 - 1/12*o**5 - 567/2*o**3 + 441*o**2 + 92610*o - 37/4*o**4.
-o*(o - 15)*(o + 42)**3/12
Suppose 16 = 2*b - z, 0 = 5*z - 45 + 25. Suppose -4*i - 39 = -3*d - 11, i = -2*d + 4. Solve -52*g**2 + 24*g**3 + 49*g - b - 4*g**d - g - 6 = 0.
1, 2
Let r(z) be the first derivative of -z**5/20 + 19*z**4/16 + 7*z**3/2 - 3320. Suppose r(f) = 0. What is f?
-2, 0, 21
Let j(h) be the second derivative of 75*h**7/112 - 103*h**6/16 + 691*h**5/160 + 2813*h**4/96 + 91*h**3/12 + 3*h**2/4 + 3317*h. Find p, given that j(p) = 0.
-1, -1/15, 2, 6
Let r(l) be the first derivative of -32*l**2 + 253 + 68/3*l**3 - l**4 + 0*l. Determine b so that r(b) = 0.
0, 1, 16
Factor -36856 + 479*p**2 + 147080 + 110888*p + 186*p**2 + p**3.
(p + 1)*(p + 332)**2
Factor 61/8*y**3 + 0 - 1/8*y**4 - 384*y - 104*y**2.
-y*(y - 32)**2*(y + 3)/8
Let k(i) be the third derivative of -23/8*i**4 - 7/40*i**6 - 11/10*i**5 - 28*i**2 + 0 + 0*i - 4*i**3. Find y, given that k(y) = 0.
-8/7, -1
Let o be (-9)/7*2 - -3. Let j be 996/84 - (0 - 1)*(-127 + 117). Factor -o - j*h - 4/7*h**2.
-(h + 3)*(4*h + 1)/7
Find g such that 2 + 64*g - 204*g**3 - 2381365*g**2 - 2 + 2381197*g**2 + 28*g**4 = 0.
-1, 0, 2/7, 8
Let f(g) be the second derivative of 13*g**4/10 + 162*g**3/5 + 264*g**2 + 2578*g - 2. Factor f(p).
6*(p + 4)*(13*p + 110)/5
Let v(j) = 9*j - 4 + 5 - 4*j**2 + 7. Let y(o) = -13*o**2 + o + 20. Let u be y(0). Let m(n) = -n**2 + n + 1. Let w(f) = u*m(f) - 4*v(f). Factor w(k).
-4*(k + 1)*(k + 3)
Let l(j) = -j**2 + 15*j + 2. Let m be l(15). Suppose 3*h + t = 24, m*t = -h - 2*h + 24. What is b in -8 - h + 16 - 2*b**2 + 4*b**3 + 6*b**4 = 0?
-1, 0, 1/3
Let x(y) be the third derivative of y**6/540 + 4*y**5/135 + 13*y**4/108 + 2*y**3/9 - 547*y**2. Suppose x(z) = 0. Calculate z.
-6, -1
Let z be (-2)/10 + ((-2960)/(-120))/(60/9). Factor 4*m - 1/2*m**2 - z.
-(m - 7)*(m - 1)/2
Let p be -1*(7 + -3 + -7). Determine s so that -4*s - 19*s**p + 41*s**3 - 2 - 18*s**3 + 2*s**4 = 0.
-1, 1
Factor 1165365589441/2 + 3238563*z**2 + 1/2*z**4 + 2243244638*z + 2078*z**3.
(z + 1039)**4/2
Let f(o) = 52*o**2 + o**3 - 31 + 92 + 45 + 5321*o - 5319*o. Let w be f(-52). Factor -2/3 + w*m + 2/3*m**3 - 2*m**2.
2*(m - 1)**3/3
Determine w, given that -21 + 2205*w**4 - 2204*w**4 + 2*w**3 - 172*w - 469 - 72*w**2 - 244*w - 150 = 0.
-4, 10
Suppose -181*h - 29 = 2*c - 178*h, -5*c + 77 = -4*h. Let -32/11*l**2 + 8/11*l**4 + 12/11*l**3 - 58/11*l 