 6*g(w) + s(w). Solve b(j) = 0.
-107, 0
Suppose 4*g + 2*o - 148 = 0, -76*o + 4 = -77*o. Suppose 36*m = 3*b + g*m + 12, -4*b = -2*m - 8. Let 5/4*i + b - 17/4*i**3 - i**4 + 4*i**2 = 0. Calculate i.
-5, -1/4, 0, 1
Let r(l) be the third derivative of -l**5/510 + 107*l**4/102 - 11449*l**3/51 + 295*l**2 - 2*l. Let r(m) = 0. What is m?
107
Suppose -390 - 36*b**2 + 708*b - 64*b**2 - 1962*b + 859*b = 0. What is b?
-2, -39/20
Let l be 8/((-280)/(-75))*5/((-23)/((-460)/450)). Solve -l - 2/7*m + 4/21*m**2 = 0 for m.
-1, 5/2
Let f be ((-66)/176)/1*-8. Let y(u) be the first derivative of -12/7*u**2 + 2/7*u**f - 30/7*u + 41. Factor y(g).
6*(g - 5)*(g + 1)/7
Let a be (5/(-2) - (1 + -3))*-10. Let f(t) = -6*t**2 + 113*t + 109. Let u(h) = 3*h**2 - 56*h - 55. Let c(i) = a*u(i) + 2*f(i). Factor c(o).
3*(o - 19)*(o + 1)
Let z(u) = -11317*u + 113172. Let b be z(10). Factor -4/3*d - 2/3*d**b + 0.
-2*d*(d + 2)/3
Let j(h) be the third derivative of -3/4*h**4 - 120*h**2 + 0 + 1/60*h**6 - 1/30*h**5 + 3*h**3 + 0*h. Let j(u) = 0. Calculate u.
-3, 1, 3
Let l(x) be the first derivative of -95 + 2/27*x**3 + 8/3*x - 8/9*x**2. Solve l(y) = 0 for y.
2, 6
Let z(m) = -m - 6. Let y be z(-9). Let l be ((-545)/70 + 6)/((-75)/(-480)*-8). Suppose 26/7*n**y + 43/7*n**2 + 0 + l*n - n**4 = 0. Calculate n.
-1, -2/7, 0, 5
Let q = -304 + 306. Factor 36 + 6*b - 19 + 0*b**2 - 22 - b**q.
-(b - 5)*(b - 1)
Suppose 61*h - 7781 - 1064 = 0. Let j be h/210 + (0 - (-1)/6). What is p in 2*p**3 + 0 + 2/7*p + j*p**4 + 10/7*p**2 = 0?
-1, -1/3, 0
Let t(k) = -5*k**3 - 85*k**2 + 278*k + 793. Let w(j) = -j**3 - 21*j**2 + 68*j + 198. Let f(r) = -2*t(r) + 9*w(r). Suppose f(p) = 0. Calculate p.
-2, 7, 14
Suppose 33*j - 31*j - 1255 = -3*l, -3105 = -5*j - l. Solve -4*z**3 - 8*z**4 + 1239*z**2 - j*z**2 - 4*z**5 - 619*z**2 = 0 for z.
-1, 0
Factor -10*k**3 - 5*k**3 - 132*k**2 + 21*k**3 - 5*k**3.
k**2*(k - 132)
Let m(t) be the second derivative of t**4/12 - 41*t**3/3 + 385*t**2/2 + 1865*t. Determine n, given that m(n) = 0.
5, 77
Let x be -2*(-1551)/(-44)*4/(-6). Let -y**2 + x*y**3 - 2*y**2 - 48*y**3 = 0. Calculate y.
-3, 0
Let a be 4/(300/(-44) + 7). Let m(k) be the second derivative of -1/12*k**4 + 2*k**2 - 1/40*k**5 - a*k + 0 + 1/3*k**3. Factor m(h).
-(h - 2)*(h + 2)**2/2
Let i = 22/15765 + 15677/63060. What is a in -1/4*a**5 - 5/4*a**4 + 2*a + i*a**2 - 7/4*a**3 + 1 = 0?
-2, -1, 1
Factor -22*s**2 + 37*s**2 - 192 - 72*s + 2*s - 17*s**2.
-2*(s + 3)*(s + 32)
Let i(y) be the first derivative of -9*y**4/4 - 1106*y**3 + 2218*y**2 - 1480*y + 10264. Let i(g) = 0. Calculate g.
-370, 2/3
Let m(b) be the third derivative of 1/135*b**5 + 32/27*b**3 + 0 - 2*b**2 + 4/27*b**4 - 5*b. Factor m(l).
4*(l + 4)**2/9
Let x(i) be the first derivative of -i**3/3 + 72*i**2 + 145*i + 1032. Factor x(z).
-(z - 145)*(z + 1)
Let o(r) be the third derivative of 1/70*r**7 + 0*r - 24*r**2 + 0*r**4 + 0*r**3 + 0 + 1/20*r**5 - 1/20*r**6. Determine d, given that o(d) = 0.
0, 1
Let r = -2518 + 2518. Let x(f) be the second derivative of 0*f**2 + r + 3/110*f**5 + 0*f**4 + 0*f**3 + 5*f. Let x(l) = 0. Calculate l.
0
Factor -559/4*p - 27735/4 + 71/4*p**2 - 1/4*p**3.
-(p - 43)**2*(p + 15)/4
Let w(o) = -o**3 + o**2 - o + 1. Let u(k) be the first derivative of 7*k**4/4 - 10*k**3/3 + 3*k**2/2 + 12*k + 61. Let d(b) = -u(b) - 6*w(b). Factor d(l).
-(l - 3)**2*(l + 2)
Let v(l) = -719*l**2 - 2167*l - 30. Let z be v(-3). Factor 5/4*d**2 - 1/4*d**3 + z + 0*d.
-d**2*(d - 5)/4
Let q = -274334 - -274334. Let 2/3*h**4 - 2/3*h**2 - 12*h + q + 12*h**3 = 0. What is h?
-18, -1, 0, 1
Let v(x) = -18726*x + 37454. Let u be v(2). Find h, given that -2/17*h**3 - 8/17*h - 8/17*h**u + 0 = 0.
-2, 0
Suppose 2166 = 4*y + 3846. Let n = y - -2106/5. Determine c so that -2/5*c**4 - 2/5*c**2 + 4/5 + n*c - 6/5*c**3 = 0.
-2, -1, 1
Suppose 4*s + 37 + 35 = 0. Let l = s - -21. Solve 8*t**2 - 2*t**2 - 5*t**l + 3*t**4 - 5*t**3 + t**3 = 0.
0, 1, 2
Let h(g) be the first derivative of -2*g**3/9 - 102*g**2/5 + 1792*g/15 - 7350. Suppose h(z) = 0. Calculate z.
-64, 14/5
Let h(c) be the third derivative of -55/36*c**4 + 0*c + 8 - 1/945*c**7 + 7/180*c**6 - 97/270*c**5 + 242/27*c**3 - 12*c**2. Let h(o) = 0. Calculate o.
-2, 1, 11
Let c(w) be the third derivative of 0 + 1/135*w**6 - 1/6*w**4 + 0*w + 1/18*w**5 - 24*w**2 - 7/2*w**3. Let m(j) be the first derivative of c(j). Factor m(q).
4*(q + 3)*(2*q - 1)/3
Let q(z) be the second derivative of 0*z**4 + 0*z**6 - 49*z + 0 + 0*z**2 - 1/231*z**7 + 1/55*z**5 - 1/33*z**3. Find y such that q(y) = 0.
-1, 0, 1
Let n(y) be the first derivative of -2046*y**5 + 0*y + 620/3*y**3 - 25 - 10*y**2 - 1815/2*y**6 - 4145/4*y**4. Factor n(v).
-5*v*(v + 1)**2*(33*v - 2)**2
Let f(j) be the second derivative of -j**6/200 + j**5/20 - j**4/20 - 4*j**3/5 - 79*j**2/2 + 71*j. Let q(w) be the first derivative of f(w). Factor q(v).
-3*(v - 4)*(v - 2)*(v + 1)/5
Let r(h) be the first derivative of -4*h**5/25 - 37*h**4/10 - 104*h**3/5 - 173*h**2/5 - 104*h/5 + 8981. Let r(y) = 0. Calculate y.
-13, -4, -1, -1/2
Let k be -1 + -2 - (-4*26 + -4). Factor -6*v**2 + 10*v**3 - 7*v**3 + 66*v - 30 - k*v.
3*(v - 5)*(v + 1)*(v + 2)
Let z = -34 - -36. Suppose -l + k - 3 + 4 = 0, 4*l = 5*k + z. Solve -f + 0*f**2 + f**3 - 4*f**4 + 3*f + 4*f**2 - l*f**3 = 0 for f.
-1, -1/2, 0, 1
Let g be (-6 - (13 - 19))/((-1 + 3)/(-2)). Suppose -20/3*b**4 + 25/3*b**3 + g + 0*b - 10/3*b**2 + 5/3*b**5 = 0. What is b?
0, 1, 2
Let a = 19 - -98. Let -a*k**2 - 44*k**2 - 3*k**3 - 5625*k - 46875 - 64*k**2 = 0. What is k?
-25
Find o, given that -o**2 + 3*o**2 - 299*o + 111*o - 84*o - 274 = 0.
-1, 137
Let f(j) be the third derivative of -j**6/12 - 37*j**5/120 + 5*j**4/16 + 3*j**3/2 + 312*j**2 + 1. Determine s, given that f(s) = 0.
-2, -3/5, 3/4
Let q = -4/123571 - -1606455/988568. Determine l, given that 23/8*l + 1/8*l**3 + 11/8 + q*l**2 = 0.
-11, -1
Let m(a) = -a**4 + a**2 - a + 2. Let t(b) = b**5 + 10*b**4 - 79*b**3 - 380*b**2 + 964*b - 520. Let f(d) = -4*m(d) - t(d). Factor f(r).
-(r - 8)*(r - 1)**2*(r + 8)**2
Let o(x) be the first derivative of -3*x**6/5 - 44*x**5/5 + 1227*x**4/10 - 1336*x**3/3 + 2436*x**2/5 + 288*x - 3414. Solve o(j) = 0.
-20, -2/9, 2, 3
Let j = 1139/852 - 1/284. Let a(b) be the first derivative of j*b**2 + 2*b**3 + b**4 + 2/15*b**5 + 0*b - 4. Factor a(t).
2*t*(t + 1)**2*(t + 4)/3
Suppose 15 = 5*f - 2*f + 3*g, -f = 3*g - 7. Suppose 0 = -5*x - 15, -5*o = -x - 9 - f. Factor -1/2 + 1/4*h**o + 1/4*h.
(h - 1)*(h + 2)/4
Let f(x) = -5*x**5 - 42*x**4 - x**3 + 45*x**2 - 3*x - 3. Let q(n) = 2*n**5 - n**2 + n + 1. Let c(s) = f(s) + 3*q(s). Determine d so that c(d) = 0.
-1, 0, 1, 42
Suppose -20 = -5*u + 5*d, 3*u - 3*d - 15 = -d. Let i = 10 - u. Factor -2*f**2 - f**2 + 8*f**2 - i*f**2 + 6*f.
2*f*(f + 3)
Suppose -117*w + 121*w - 92 = 0. Let -117*x**4 - 28*x**3 + 4*x**2 + 200*x**4 + w - 103*x**4 + 32*x - 4*x**5 - 7 = 0. What is x?
-2, -1, 1
Let o(z) be the first derivative of -3*z**5/5 - 3*z**4 - 4*z**3 - 5984. Solve o(b) = 0.
-2, 0
Let j be 18/(-7) + 3432/546. Factor 1/7*n**2 + j*n + 169/7.
(n + 13)**2/7
Suppose 281 = 26*c - 187. Let v be 2*(3/c + 0). Factor -v*w**4 - 10/3*w**3 + 32/3*w + 128/3 - 8*w**2.
-(w - 2)*(w + 4)**3/3
Let n(d) be the first derivative of -19*d**3/2 - 147*d**2/2 - 180*d + 3302. Find p such that n(p) = 0.
-60/19, -2
Let y = -621 - -631. Factor 379*j**2 - 367*j**2 + 44*j + 14 + y.
4*(j + 3)*(3*j + 2)
Let j be (12 + 9 - (4 - 1)) + -3. Suppose 0 = -j*k + 16*k. Let -6 + k - 3*s**2 + 0*s**2 - 9*s + 0 = 0. What is s?
-2, -1
Factor 4*n**2 - 13*n**2 - 760 + 7*n**2 + 6*n**2 - 756*n.
4*(n - 190)*(n + 1)
Let f(l) = -11*l - 45. Suppose -8*a = -1 + 41. Let q be f(a). Let 23*j**5 - 12*j**5 + 4*j**4 + 4*j**3 - q*j**5 = 0. What is j?
-2, 0
Suppose -5*m + s + 8 = 0, 0*s = 4*m - s - 6. Let b be 0 + m - (-8 - 1). Determine f, given that 12 - b + f**2 + 3 - 4*f = 0.
2
Let x = -400641 + 2003217/5. Find t such that -27/5*t**3 + 3/5*t**4 + x*t - 72/5 + 54/5*t**2 = 0.
-1, 2, 6
Let c(i) = 2*i**5 - 16*i**4 - 49*i**3 - 38*i**2 + 40*i + 64. Let b(l) = l**5 - l**4 - l**3 + 2*l**2. Let v(a) = 3*b(a) - c(a). Factor v(h).
(h - 1)*(h + 2)**3*(h + 8)
Let l = 3752/7505 + 1/15010. Factor 7/4*x - l + x**2.
(x + 2)*(4*x - 1)/4
Let c be -10*(-2 + (3 - 2)). Let q be (c/6)/(11/33). Suppose 0*b**4 + 6*b**q - b**5 + 2*b**4 + 3*b**4 = 0. What