s - 62 + 11*s**2 + 22 = 0.
-11, -2
Let z(w) = -11*w**3 + 11*w**2 - 105*w - 3. Let j(f) = 4*f**3 + 4*f**2 - f + 1. Let n(b) = -12*j(b) - 4*z(b). What is k in n(k) = 0?
-27, 0, 4
Let v be 21/1197*19*-14 + 8. Factor v*p**3 + 0 + 12*p + 1/3*p**4 + 11*p**2.
p*(p + 3)**2*(p + 4)/3
Let u(a) be the third derivative of -1/4*a**4 - 1/20*a**5 - 1/2*a**3 + 0*a + 0 + a**2. Solve u(v) = 0 for v.
-1
Let v(a) be the third derivative of 7*a**5/60 + 29*a**4/24 + 2*a**3/3 + 757*a**2. Factor v(p).
(p + 4)*(7*p + 1)
Let h be 50/5*(-2)/(-4). Let j(q) be the second derivative of 30*q**3 + 27/2*q**6 - 9*q**h - 385/12*q**4 - 14*q + 0 - 10*q**2. Factor j(f).
5*(f - 1)*(f + 1)*(9*f - 2)**2
Let d be 211/(-1899)*234/(-4). Let r(j) be the first derivative of -5*j**3 - 4*j - d*j**2 - 7/4*j**4 + 26 - 1/5*j**5. Solve r(z) = 0 for z.
-4, -1
Let r be -2*(21 - (-1608)/(-72)). Suppose 7/3*c + 1/3*c**5 - r*c**3 + 2/3*c**2 + 2/3*c**4 - 4/3 = 0. Calculate c.
-4, -1, 1
Suppose -38*n + 4*n + 27*n = 115*n. Suppose 2/9*s**2 + n - 22/9*s = 0. What is s?
0, 11
Let a(n) be the third derivative of -n**6/540 - n**5/108 - n**4/54 + 67*n**3/6 + n**2 + 2*n. Let o(f) be the first derivative of a(f). Factor o(t).
-2*(t + 1)*(3*t + 2)/9
Let d(x) = -2*x**3 - 190*x**2 - 3198*x - 3026. Let b(t) = 4*t**2 - 2. Let n(r) = 8*b(r) + d(r). Solve n(s) = 0.
-39, -1
Let x be (756/30)/(-7) + -1 + 18 + -13. Let x*f**2 - 42/5*f - 44/5 = 0. Calculate f.
-1, 22
Let i(q) be the first derivative of 4/3*q**3 + 2*q**5 - 28 + 0*q**2 + 7/2*q**4 + 0*q. Find d, given that i(d) = 0.
-1, -2/5, 0
What is u in -132*u**2 + 607*u - 2*u**3 + 800*u - 993*u = 0?
-69, 0, 3
Find f such that 0 + 16/7*f - 4*f**2 + 8/7*f**3 + 4/7*f**4 = 0.
-4, 0, 1
Let h(a) be the third derivative of 3*a**8/392 - 3*a**7/35 + 13*a**6/210 + 41*a**5/105 - 5*a**4/12 - 19*a**3/21 + 17*a**2. Let h(z) = 0. What is z?
-1, -1/3, 1, 19/3
Suppose -4*l = 52, -59*i + 5*l + 161 = -43*i. Factor -i*f**3 + 0 - 16/7*f + 2/7*f**5 - 10/7*f**4 - 46/7*f**2.
2*f*(f - 8)*(f + 1)**3/7
Let p(r) = -r**2 + 11*r - 24. Let g be p(8). Factor g*y**2 - 15*y + 14767 - 3*y**2 - 14785.
-3*(y + 2)*(y + 3)
Let i(b) be the first derivative of -1/2*b**4 + 135 + 0*b - 2*b**3 + 0*b**2. Factor i(f).
-2*f**2*(f + 3)
Let k(d) be the second derivative of 0 - 3*d**5 + 65*d + 55/12*d**4 + 0*d**2 + 5*d**3 - 5/6*d**6. Factor k(s).
-5*s*(s - 1)*(s + 3)*(5*s + 2)
Let l(h) be the first derivative of -h**7/315 + 2*h**6/45 - 2*h**5/9 + 4*h**4/9 - 5*h**2/2 - 5*h + 69. Let w(q) be the second derivative of l(q). Factor w(b).
-2*b*(b - 4)*(b - 2)**2/3
Let d(j) be the third derivative of j**6/120 + 3*j**5/10 - 133*j**4/8 + 784*j**3/3 + 1933*j**2. Factor d(r).
(r - 7)**2*(r + 32)
Let r(j) be the third derivative of -j**6/540 + 47*j**5/270 - 217*j**4/36 + 245*j**3/3 - 4*j**2 - 8*j. Find v, given that r(v) = 0.
5, 21
Suppose 1490*o - 640 = 1362*o. Let f(l) be the third derivative of 32*l**2 + 0*l**3 + 0*l**4 + 0 + 0*l + 0*l**6 + 1/105*l**7 - 1/30*l**o. Factor f(v).
2*v**2*(v - 1)*(v + 1)
Suppose 3*k = o + 4827, 4*k - 270*o = -269*o + 6436. Let u = k - 1609. Let -1/4*l**4 + u*l**3 + 0*l + 1/4*l**2 + 0 = 0. What is l?
-1, 0, 1
Let n = -6027/5 + 1206. Let m(l) be the first derivative of -1/5*l**3 - 13 - 3/5*l + n*l**2. Find x, given that m(x) = 0.
1
Let u(m) be the second derivative of -m**6/150 - 9*m**5/50 - 61*m**4/60 - 12*m**3/5 - 14*m**2/5 - 4*m. Let u(g) = 0. What is g?
-14, -2, -1
Let i(a) = -7*a**4 - 219*a**3 - 1856*a**2 - 2076*a - 450. Let q(r) = -r**2 + r. Let o(b) = i(b) - 9*q(b). Factor o(j).
-(j + 1)*(j + 15)**2*(7*j + 2)
Suppose p + 14 = 4*b, -3*p + b + 0 = -2. Factor -457*t + 155*t + 476*t**2 + 128*t**2 - 25*t**3 + 806*t**p - 258*t.
-5*t*(t - 56)*(5*t - 2)
Suppose 0 = -8*d - 3*d. Let y(n) be the third derivative of -1/735*n**7 + d*n - 3/70*n**5 + 1/12*n**4 + 1/84*n**6 - 2/21*n**3 + 0 + 9*n**2. Factor y(p).
-2*(p - 2)*(p - 1)**3/7
Let b = 63841 + -63839. Factor 0 + 4/5*h + 1/5*h**3 - h**b.
h*(h - 4)*(h - 1)/5
Let s be 2/(-4)*(0 + 20)*-31. Let v be s/(-558)*(-102)/10. Determine y so that v*y + 2/3 + 5*y**2 = 0.
-1, -2/15
Let u(p) = p**4. Let o(m) = 2*m**3 + 12*m**2 + 16*m + 10*m**3 + 12*m**2 + 12*m**4. Let k be 14/70 + (-16)/(-20). Let w(i) = k*o(i) - 10*u(i). Factor w(a).
2*a*(a + 2)**3
Let n(c) be the third derivative of c**5/360 + 137*c**4/72 - 2*c**2 + 112*c. Solve n(a) = 0 for a.
-274, 0
Let a(c) be the third derivative of c**5/570 - 37*c**4/6 + 26011*c**3/3 + 1950*c**2 + 1. Factor a(l).
2*(l - 703)**2/19
Let b = -1244 + 1301. Suppose b*z - 83 = 202. Suppose -2*v**4 + 0 - 1/4*v**2 + 5/4*v**3 + v**z + 0*v = 0. What is v?
0, 1/2, 1
Let o(n) be the second derivative of -5*n**4/12 + 1955*n**3 - 6879645*n**2/2 + n - 1033. Find k, given that o(k) = 0.
1173
Let s = 755 - 724. Factor -25*w**4 + 18*w**2 - 17*w**4 + s*w**4 - 28*w**3 - 9*w**4 + 6*w**2.
-4*w**2*(w + 2)*(5*w - 3)
Suppose 2*n = -2*f + 24, -86*n = -83*n - 4*f - 8. Let j(d) be the second derivative of 2/15*d**4 + d**2 + 0 - n*d + 3/5*d**3. Find t such that j(t) = 0.
-5/4, -1
Let w(t) = t**4 - t**3 - t**2. Let m(g) = 22*g**3 - 32 + 14*g**3 - 64*g**2 + 2*g**4 + 2*g**4 + 80*g - 16*g**4. Let u(s) = m(s) + 8*w(s). What is p in u(p) = 0?
1, 2
Let r be (96/60)/(2/15). Factor 12*z - 39 + r*z**2 - 3*z**3 + 5 - 14.
-3*(z - 4)*(z - 2)*(z + 2)
Let h(y) be the third derivative of y**6/60 - 233*y**5/30 + 13915*y**4/12 - 13225*y**3 - 19*y**2 + 11*y. Find n, given that h(n) = 0.
3, 115
Let k be (9366/1784)/(1/(-8)*-3). Let i(c) be the second derivative of 1/15*c**6 + 4*c**3 - 6/5*c**5 + 0 - 36*c**2 + 35/6*c**4 + k*c. Factor i(a).
2*(a - 6)**2*(a - 1)*(a + 1)
Factor 125*j**2 + 343*j - 7*j**4 - 697*j + 22*j**4 + 140*j**3 + 354*j.
5*j**2*(j + 1)*(3*j + 25)
Let c = 15550/7 - 46601/21. Suppose -l**5 + 4*l - c*l**2 + 11/3*l**4 - 4/3 - 3*l**3 = 0. Calculate l.
-1, 2/3, 1, 2
Let r be ((-4 - (-16)/8) + 2)/2. Let h(q) be the second derivative of 1/4*q**4 - 6*q - 1/2*q**3 + 0 + r*q**2. Factor h(i).
3*i*(i - 1)
Let n(a) be the third derivative of 0*a**4 + 0*a**3 - 1/525*a**7 - 1/100*a**6 + 0*a - 17*a**2 - 1/75*a**5 - 3. Suppose n(z) = 0. What is z?
-2, -1, 0
Factor -7289 - 901*w + 268*w**2 + 161*w - 5*w**4 + 307*w**2 + 7589 - 130*w**3.
-5*(w - 2)*(w - 1)**2*(w + 30)
Let v be -9 + ((-198)/(-24))/(6/8). Let x(b) be the second derivative of 0 + 2/33*b**3 + 1/66*b**4 + 0*b**v - 20*b. Factor x(o).
2*o*(o + 2)/11
Let o(i) = i**4 + 3*i**3 + i**2 - 2*i - 1. Let x(y) = 15*y**4 + 95*y**3 + 300*y**2 + 520*y + 350. Let a(q) = -10*o(q) + x(q). Let a(z) = 0. What is z?
-6, -3, -2
Determine b, given that 1/4*b**4 - 3/4*b**2 - 61/2*b + 10*b**3 - 20 = 0.
-40, -1, 2
Let a(k) be the first derivative of k**6/495 - k**5/220 - 280*k**3/3 - k**2 + 170. Let p(o) be the third derivative of a(o). Determine y, given that p(y) = 0.
0, 3/4
Let z = 49/16 - -7/16. Suppose 271*f - 10 = 101*f + 165*f. Factor -3/4*a**2 + z*a - f.
-(a - 4)*(3*a - 2)/4
Let k be ((-1)/2 + (-5)/10)*-6. Determine m, given that 1438 + k - 41*m + 193*m + 4*m**2 = 0.
-19
Factor -43*w**3 + 127*w**3 + 545*w**2 - 2436 + 578 + 431*w**2 + 2*w**4 + 2988*w - 2192.
2*(w - 1)*(w + 9)**2*(w + 25)
Let b(l) be the first derivative of 9*l**4 + 1240*l**3 - 1246*l**2 + 416*l - 3566. Find t such that b(t) = 0.
-104, 1/3
Factor 3185*m + 229*m + 971283 + 3*m**2 + 0*m**2.
3*(m + 569)**2
Solve 0 - 202/3*u**3 + 2/3*u**5 - 40/3*u**4 + 80*u**2 + 0*u = 0.
-5, 0, 1, 24
Let y be 99/(-594)*(-14 - 4). Suppose 2 + 2/3*c - 2*c**2 - 2/3*c**y = 0. What is c?
-3, -1, 1
Factor 15*r**2 - 784 + 42*r**2 + 672*r + 29*r**2 + 4*r**3 + 22*r**2.
4*(r - 1)*(r + 14)**2
Factor -3/7*n**2 + 0 + 27/7*n.
-3*n*(n - 9)/7
Let s be (-17)/476*2/(4/(-49)). Let r(l) be the first derivative of -3/10*l**5 + 0*l - 12 - 1/4*l**2 - s*l**4 - 5/6*l**3. What is b in r(b) = 0?
-1, -1/3, 0
Let w(u) be the second derivative of 56169*u**6/50 + 118737*u**5/50 + 30733*u**4/20 + 1002*u**3/5 + 54*u**2/5 + 13*u - 10. Factor w(d).
3*(3*d + 2)**2*(79*d + 3)**2/5
Suppose -3*f + 302*p = 297*p - 20, 11*p + 36 = 5*f. Let k be ((-2)/3)/((-70)/189). Factor 6/5*w**3 + 0 + 0*w**2 + 3/5*w**f - k*w**4 + 0*w.
3*w**3*(w - 2)*(w - 1)/5
Let w be 36/(-8)*(-28)/63. Let j(t) be the second derivative of -3*t + 2/3*t**3 + 0 + 0*t**w - 1/5*t**5 + 1/3*t**6 - 5/6*t**4. Factor j(g).
2*g*(g - 1)*(g + 1)*(5*g - 2)
Let m be (-66