- 367*u**2 + 66*u**5 - 12*u**5 - 581*u**2 - 1240*u**2 - 1480*u = 0. Calculate u.
-5, -1/3, -2/9, 2
Suppose 11*o + 1240 = 4452. Suppose 3*h - 5*h + o = 0. Factor 4*w**4 - 12*w**2 + 0 - 138*w**3 + h*w**3 - 2 - 32*w - 14.
4*(w - 2)*(w + 1)**2*(w + 2)
Let b be ((-4)/(-6))/((-1915)/(-337806)). Let h be (-1367)/(-20) - (-1)/4. Factor b*d**2 + 64/5 - 336/5*d - h*d**3.
-(7*d - 4)**3/5
Factor 387*s + 5*s**2 + 4916*s + 3300*s + 4167845 + 527*s.
5*(s + 913)**2
Let r be (-4 - (3 + -1) - -12) + -4. Let o(f) be the second derivative of 1/20*f**5 + 0*f**3 + 1/12*f**4 - 4 - 2*f + 0*f**r. Find y such that o(y) = 0.
-1, 0
Let i = 50 - 52. Let c(q) = 2*q**2 - 3*q - 6. Let b be c(i). Factor -97 - 2*d + b*d + 100 - 3*d**2 - 15*d**3 + 9*d.
-3*(d - 1)*(d + 1)*(5*d + 1)
Let i(m) be the second derivative of -m**4/12 + 11*m**3/3 + 24*m**2 - 39*m - 38. Factor i(r).
-(r - 24)*(r + 2)
Solve 6097*g - 10329*g - 1434*g**3 - g**5 + 4600*g**2 - g**5 + 100*g**4 = 0 for g.
0, 2, 23
Let h(m) be the third derivative of m**5/180 - 41*m**4/24 - 125*m**3/9 + 10003*m**2. Factor h(v).
(v - 125)*(v + 2)/3
Let y = 210 - 174. Solve -17*n - 64*n**2 - 5*n**2 - y - 3*n**4 - 42*n - 24*n**3 - 25*n = 0.
-3, -2, -1
Let t(u) = -u**2 + 20*u - 61. Let o be t(4). Factor -27436 + 11*r**3 + 15*r**2 - 4332*r - 15*r**o - 243*r**2.
-4*(r + 19)**3
Let r(j) be the third derivative of -j**4/24 + 31*j**3/6 - 27*j**2. Let o be r(17). Factor 15*k**3 + 4*k**4 - o*k**3 + 3*k**3.
4*k**3*(k + 1)
Let r = 5855 + -3654. Find u such that r + u**2 - 36*u - 101*u + 9*u + 1895 = 0.
64
Let s(h) be the first derivative of 49 + 10*h - 1/4*h**4 + 19/2*h**2 + 8/3*h**3. Factor s(r).
-(r - 10)*(r + 1)**2
Suppose -1 = -j + 7*k - 8*k, 0 = 4*j - 13*k + 13. Let h(g) be the first derivative of j*g - 1/7*g**3 - 3/2*g**2 - 3. Determine u so that h(u) = 0.
-7, 0
Suppose 2588465 = -301*w + 2778*w. Factor 3025/3 - 1/3*i**3 - w*i + 37*i**2.
-(i - 55)**2*(i - 1)/3
Let d(k) be the third derivative of -k**6/840 + 65*k**5/84 - 27*k**4/14 + 3*k**2 + 1270*k. Find j such that d(j) = 0.
0, 1, 324
Let g(v) be the third derivative of 7*v**6/120 - 29*v**5/20 + 12*v**4 - 18*v**3 - 8*v**2 - 33*v - 3. Determine z so that g(z) = 0.
3/7, 6
Let f be -10 + 110*3/6. Let m be -8*((-2)/12)/(105/f). Factor 0*o + 0 - m*o**4 - 5/7*o**3 - 1/7*o**2.
-o**2*(o + 1)*(4*o + 1)/7
Let g(b) be the second derivative of -b**6/120 - 51*b**5/80 + 337*b**4/48 - 95*b**3/8 + 5536*b. Factor g(w).
-w*(w - 5)*(w - 1)*(w + 57)/4
Let r be ((-45)/12 + -2)/(6/24*-1). Let l(v) be the first derivative of -r - 64*v + 4*v**3 + 0*v**2 + 1/2*v**4. Find g such that l(g) = 0.
-4, 2
Let f(q) be the second derivative of q**6/30 - 4*q**5/15 + 2*q**4/3 - 26*q**2 - q - 6. Let o(x) be the first derivative of f(x). Factor o(a).
4*a*(a - 2)**2
Let k be 1/(-2)*(-33 + 0 + 8). Let t = 13 - k. Suppose -3/2*f - 2 + t*f**2 = 0. What is f?
-1, 4
Let q(n) be the third derivative of n**8/392 + 8*n**7/147 - 59*n**6/420 - 78*n**5/35 - 121*n**4/21 - 16*n**3/3 + 128*n**2 + n - 4. Find g, given that q(g) = 0.
-14, -2, -1, -1/3, 4
Let d(r) = r**5 + 13*r**4 - 3*r**3 - 51*r**2 + 32*r. Let c(i) = -5*i**5 - 63*i**4 + 15*i**3 + 256*i**2 - 159*i. Let g(t) = 2*c(t) + 11*d(t). Factor g(w).
w*(w - 1)**2*(w + 2)*(w + 17)
Let g = -34 - -33. Let r be (12/8)/(((-2)/16)/g). Solve 6 - 25 + r*x + 20*x**2 + 4*x**3 - 24 + 7 = 0.
-3, 1
Solve -296*s**4 - 85*s**3 + 291*s**4 - 357*s - 280*s**2 + 97*s = 0.
-13, -2, 0
Let q(l) be the second derivative of l**5/15 + 5*l**4/6 - 28*l**3/3 - 13*l**2 + 2*l + 4. Let p(f) be the first derivative of q(f). Factor p(n).
4*(n - 2)*(n + 7)
Suppose -2/9*v**3 + 1/3*v**4 + 1/3*v - 1/9*v**5 - 2/9*v**2 - 1/9 = 0. What is v?
-1, 1
Suppose 9*g - 24 = 8*g. Let z = g + -22. Factor -7*p + 50*p**z - p - 10 - 48*p**2.
2*(p - 5)*(p + 1)
Suppose -32*w + 340 = 53*w. Let t(f) be the third derivative of -35*f**2 + 0*f + 3/11*f**w + 4/55*f**5 + 0 - 1/385*f**7 - 1/220*f**6 + 0*f**3. Factor t(c).
-6*c*(c - 3)*(c + 2)**2/11
Let a be (-129176)/(-4020) + (-64)/2. Factor 0 + 4/15*d**2 - a*d**3 + 2/5*d.
-2*d*(d - 3)*(d + 1)/15
Let y = -11/41762 - 9308361/17331230. Let v = -28/83 - y. Factor 4/5*d**2 - 4/5*d + v.
(2*d - 1)**2/5
Let h(b) be the first derivative of b**5 + 413*b**4/16 + 491*b**3/6 + 127*b**2/2 + 18*b - 6144. What is a in h(a) = 0?
-18, -2, -2/5, -1/4
Let k = -286 - -291. Let h(r) = -2*r**2 - 1. Let i(p) = -11*p**2 + 2*p - 6. Let n(q) = k*i(q) - 30*h(q). Determine u, given that n(u) = 0.
-2, 0
Let f = 755 - 890. Let y be (-7)/9 + 1 + (-375)/f. Solve 2/7*q**y - 4/7*q**2 - 2/7*q + 4/7 = 0 for q.
-1, 1, 2
Let y(k) = -3*k + 50*k**2 + 0*k - 40*k**2 - 2*k - 30. Let q(r) = r**2 - r - 2. Let g(f) = -5*q(f) + y(f). Factor g(x).
5*(x - 2)*(x + 2)
Let c = -83 + -7. Let v = 92 + c. Factor 21*u**v + 11*u**3 - 121*u + 103*u - 2*u**3.
3*u*(u + 3)*(3*u - 2)
Suppose 0 = 217*m + 41*m - 516. Suppose -3*u - 2*t = -21, 3*u - 12 = 5*t - 4*t. Determine a, given that -12*a + 5*a**3 - u*a**2 + 49*a**m + 11*a**3 = 0.
-3, 0, 1/4
Suppose -6*p + 179 = 65. Factor 4*j**2 - 57*j**3 - j**2 + 17*j**3 + 22*j**3 + 2*j + p*j**3.
j*(j + 1)*(j + 2)
Let d(i) be the second derivative of 0 + 1/9*i**3 + 0*i**2 - 1/72*i**4 - 20*i. Factor d(c).
-c*(c - 4)/6
Suppose -3*c + 18 = 3*c. Factor 4*u**c + 7670*u**2 - 7670*u**2 - 4*u.
4*u*(u - 1)*(u + 1)
Let i(m) = -220*m**3 - 80*m**2 + 3280*m + 6720. Let l(t) = 53*t**3 + 20*t**2 - 820*t - 1680. Let k(u) = 6*i(u) + 25*l(u). Find a, given that k(a) = 0.
-14, -2, 12
What is h in -549*h**2 - 187*h**2 + 148*h**5 - 150*h**5 + 1662*h - 1008 + 16*h**4 + 68*h**3 = 0?
-7, 1, 3, 8
Let t(d) = 11*d**3 + 53*d**2 + 325*d + 449. Let j(r) = 14*r**3 + 70*r**2 + 433*r + 599. Let m(n) = -7*j(n) + 9*t(n). Factor m(k).
(k - 19)*(k + 2)*(k + 4)
Suppose -3*u + 35 - 5 = 0. Suppose 0 = -g - 0*g + 7. Factor 5*r - 3*r**2 + u - 29*r - 51 - g.
-3*(r + 4)**2
Let h = 9403867/11445 - -36/3815. Let a = -821 + h. Factor 1/3*x**5 - 2/3*x**4 + 0 - 1/3*x + a*x**2 + 0*x**3.
x*(x - 1)**3*(x + 1)/3
Let j(f) be the second derivative of -5/4*f**5 - 5/6*f**6 + 100/3*f**3 + 5/42*f**7 + 125/12*f**4 + 27*f - 1 + 40*f**2. Factor j(l).
5*(l - 4)**2*(l + 1)**3
Find x, given that 0 + 5/4*x**2 + 1415/4*x = 0.
-283, 0
Let h(b) be the second derivative of -b**3 + 0*b**2 + 13/6*b**4 - 19/10*b**5 + 11/15*b**6 - 2/21*b**7 - 1 + 3*b. Let h(j) = 0. Calculate j.
0, 1/2, 1, 3
Suppose -5*g = 5*j - 10, j + 5*g + 2 = 2*j. Factor -16*y**j - 1444 + y + 12*y**2 + 151*y.
-4*(y - 19)**2
Let u be 5 + -2 + (1188/405 - 5). Let a(l) be the third derivative of 9*l**2 - 4/15*l**4 - u*l**3 + 0 + 0*l - 1/75*l**5. Factor a(s).
-4*(s + 1)*(s + 7)/5
Let o(u) = 375*u**2 - 18*u + 13. Let z(l) = 94*l**2 - 4*l + 3. Suppose -2*m + m = 6. Let w(v) = m*o(v) + 26*z(v). Factor w(c).
2*c*(97*c + 2)
Let n(h) be the third derivative of h**8/560 - 3*h**7/350 - 3*h**6/100 + h**5/10 + 21*h**4/40 + 9*h**3/10 + 682*h**2 + 2. Factor n(p).
3*(p - 3)**2*(p + 1)**3/5
Let f(w) be the first derivative of 3/5*w**5 - 3*w**4 + 0*w**2 + 3*w**3 + 0*w - 55. Solve f(p) = 0 for p.
0, 1, 3
Let f(m) be the second derivative of 0*m**2 - 4*m**3 + m**7 + 44/15*m**6 + 4*m - 20/3*m**4 - 13/10*m**5 - 2. Suppose f(u) = 0. Calculate u.
-2, -2/3, -3/7, 0, 1
Let u(g) = -51*g + 107. Let a be u(2). Let v(x) be the first derivative of 0*x**3 + 0*x - 1/5*x**a + 1/4*x**4 + 20 + 0*x**2. Factor v(b).
-b**3*(b - 1)
Let v = -6873 - -34371/5. Let p(a) be the second derivative of 11/15*a**3 - 2/5*a**4 + 0 + 27*a + v*a**2 - 1/10*a**5. Factor p(w).
-2*(w - 1)*(w + 3)*(5*w + 2)/5
Factor -2304 + 1411*l - 231*l - 424*l + 4*l**2.
4*(l - 3)*(l + 192)
Let f(o) be the first derivative of 4*o**5/15 + 7*o**4/6 + 2*o**3 + 5*o**2/3 + 2*o/3 + 341. Suppose f(a) = 0. Calculate a.
-1, -1/2
Let m(u) = -95*u**2 + 1445*u - 128164. Let r(t) = -44*t**2 + 722*t - 64082. Let z(y) = 6*m(y) - 13*r(y). Factor z(b).
2*(b - 179)**2
Let w(g) be the first derivative of g**4/20 - 61*g**3/15 - 98*g**2/5 + 256*g/5 + 6800. Factor w(i).
(i - 64)*(i - 1)*(i + 4)/5
Let o(s) = -s**2 - 803*s + 17307. Let b be o(21). Factor 2/3*x**2 - 2/3*x**b - 2/3 + 2/3*x.
-2*(x - 1)**2*(x + 1)/3
Let -13758*y**2 + 27506*y**2 - 7*y - 13765*y**2 = 0. Calculate y.
-7/17, 0
Let h be (-7 - -5)/(2/(-3)). Factor 18*b**2 - 7*b**3 - h*b - 4 + 10 + 5*b**3 + 8 - 27*b.
-2*(b - 7)*(b - 1)**2
Let u = -175 - -18