 + 0*l + 1/21*l**6 - 12/35*l**5. Factor y(z).
2*z*(z - 3)*(z - 1)**3/7
Let v be (198/(-168))/(93/(-496)) + 3*8/(-6). Determine f so that 0 - 2/7*f**2 + v*f = 0.
0, 8
What is n in -34*n**2 - 30*n**2 + 62*n**2 - 1164 + 542*n + 246*n + 378 = 0?
1, 393
Let y(q) be the third derivative of q**5/240 + 5*q**4/6 + 79*q**3/24 - 737*q**2. Factor y(w).
(w + 1)*(w + 79)/4
Let l(f) = 340 + 63 - 80 + 104*f + 282 + 8*f**2. Let k(x) = 7*x**2 + 106*x + 605. Let i(n) = -3*k(n) + 2*l(n). Factor i(g).
-5*(g + 11)**2
Solve 423*v**4 - 95*v**2 + 121*v**2 - 56*v**2 + 5*v**5 + 79*v**5 + 9*v**3 = 0.
-5, -2/7, 0, 1/4
Let s(x) be the second derivative of -x**4/54 + 50*x**3/27 + 1139*x**2/9 - 3*x + 68. Find c, given that s(c) = 0.
-17, 67
Let o(v) = -v**2 + 7*v + 4. Let b be ((-8)/(-4) - 0) + 5. Let c be o(b). Determine u so that 8*u**5 - 5*u**5 - 6*u**4 + 2*u**2 - u**3 + c*u**2 - 2*u**3 = 0.
-1, 0, 1, 2
Suppose 0 = 2*k + 20, -4*w + 3 = k - 6 + 11. Determine a so that 0 - 6*a - 52/9*a**w + 2/9*a**3 = 0.
-1, 0, 27
Let v(r) be the third derivative of 0*r - 106*r**2 + 0 - 2/25*r**5 + 0*r**3 - 1/350*r**7 + 9/200*r**6 + 0*r**4. Factor v(t).
-3*t**2*(t - 8)*(t - 1)/5
Let g be (-20 - -21)*(-4 - 52). Let n be (-9)/(-16)*g/(-21). Factor 13/4*r**3 - 3*r**2 - n*r**4 + 1/4*r**5 + 0 + r.
r*(r - 2)**2*(r - 1)**2/4
Let -27*m + 27/2*m**2 - 3*m**3 + 1/4*m**4 + 81/4 = 0. What is m?
3
Let y be ((-32)/6 + -5 + 3)*-3. Let k(q) be the second derivative of 3/11*q**3 + 0 + 4/11*q**2 + y*q + 1/11*q**4 + 1/110*q**5. Factor k(a).
2*(a + 1)**2*(a + 4)/11
Let x be 8/(4/4) - (-5)/((-10)/12). Let k(f) be the first derivative of x*f + 4 + 17/10*f**2 + 1/5*f**3. Determine d so that k(d) = 0.
-5, -2/3
Let 35/6*r**5 + 395/3*r**3 + 50*r**4 + 460/3*r**2 + 165/2*r + 50/3 = 0. Calculate r.
-5, -1, -4/7
Let p(a) be the third derivative of -a**5/80 + 89*a**4/16 + 45*a**3 + 2*a**2 - 242*a. Find v such that p(v) = 0.
-2, 180
Let r(n) be the third derivative of -n**5/12 - 385*n**4/3 - 1994*n**2 - n. Let r(o) = 0. Calculate o.
-616, 0
Factor -281*r - 396*r**2 + 847*r + 80089 + 397*r**2.
(r + 283)**2
Let b = 1625 - 2635. Let q = b - -5056/5. Solve -2/5*d**2 + q*d - 4/5 = 0.
1, 2
Let t(d) be the first derivative of 0*d - 4/3*d**3 + 10*d**2 + 86. Factor t(x).
-4*x*(x - 5)
Let h(s) = -s**2 - 1. Let t(o) = -44 - 6 - 4*o**2 - 20*o - 2. Suppose -135 + 141 = 3*u. Let z(r) = u*t(r) - 4*h(r). Factor z(k).
-4*(k + 5)**2
Let z(g) be the third derivative of -g**5/60 - 151*g**4/2 - 136806*g**3 + 2366*g**2. What is j in z(j) = 0?
-906
Let g(w) be the second derivative of -3*w**5/40 - 83*w**4/48 - 8*w**3/3 + 13*w**2/8 - 1191*w. Factor g(f).
-(f + 1)*(f + 13)*(6*f - 1)/4
Let c(n) = -17*n + 132. Let l be c(6). Determine w, given that -l*w**2 - 5*w**3 - 4*w**3 - 3*w**4 - 12*w**3 = 0.
-5, -2, 0
Let k be 0 + 10 - (4 - 7)*-1. Suppose i - k = -0*i. Determine n so that -n**2 - i*n - 14*n - 4 + 17*n = 0.
-2
Let a = 4515487/2735 + -1651. Let j = a - -8201/5470. Factor -t**2 + 0 - j*t**3 + 0*t - 1/2*t**4.
-t**2*(t + 1)*(t + 2)/2
Let c(m) = -8*m**2 + 12*m - 36. Let h(x) be the first derivative of -x**3/3 + x**2/2 - 3*x + 131. Let g(t) = c(t) - 12*h(t). Find p such that g(p) = 0.
0
Let 0*g - 285/2*g**2 - 91/2*g**4 - 377/2*g**3 + 0 + 1/2*g**5 = 0. What is g?
-3, -1, 0, 95
Let s be (-3)/(-6) + ((-18)/4 - -4). Suppose -v = -s*w + w - 3, w + 17 = 4*v. Factor 4/3 - 4/3*p + 2/3*p**3 - p**2 + 1/3*p**v.
(p - 1)**2*(p + 2)**2/3
Let z = 5223 - 99236/19. Let r(n) be the third derivative of 0 - 1/57*n**4 - z*n**3 - 1/570*n**5 + 17*n**2 + 0*n. Let r(q) = 0. Calculate q.
-3, -1
Let q(w) = -w**3 + w**2 - w - 3. Let i = 398 + -396. Let l(y) = -8*y**3 + 28*y**2 - 106*y - 142. Let k(u) = i*l(u) - 14*q(u). Let k(v) = 0. Calculate v.
-1, 11
Let s be (-40)/(-15) - ((-4)/(-6) + -1). Determine g so that 9*g**2 - 2*g**2 + 2*g**s + 7*g**2 - 15*g + 10 + 37*g = 0.
-5, -1
Factor 864/11*o**2 + 2/11*o**5 + 464/11*o**3 + 0*o + 70/11*o**4 + 0.
2*o**2*(o + 4)**2*(o + 27)/11
Let x(h) = -h**2 - 3*h + 51. Let r be x(-23). Let g = r + 2047/5. Determine y, given that -2/5*y**4 + g*y + 0 + 2/5*y**2 - 2/5*y**3 = 0.
-1, 0, 1
Find j, given that -560*j**3 - 452298*j - 2*j**4 - 87750*j**2 + 1715*j**3 - 7*j**4 + 4*j**4 + 2551278*j + 7118280 = 0.
-3, 78
Let x(s) be the second derivative of -s**6/10 + 24*s**5/5 + 443*s**4/4 - 489*s**3 + 756*s**2 + 2546*s - 2. Suppose x(o) = 0. Calculate o.
-12, 1, 42
Determine r so that -3/5*r**3 - 252/5*r + 432/5 + 48/5*r**2 = 0.
4, 6
Let g be (-5)/((-150)/93) + (-3)/90*3. Suppose 0 + 3/5*r**4 + 21/5*r**3 + 33/5*r**2 + g*r = 0. What is r?
-5, -1, 0
Let v(d) = 10*d**2 + 12*d + 12. Let w(g) be the first derivative of -g**3 - 2*g**2 - 4*g + 135. Let c(l) = -6*v(l) - 21*w(l). Find k, given that c(k) = 0.
-2
Let g(u) be the third derivative of 0*u**5 - 1/20*u**4 - 7*u**2 - 1 + 0*u - 2/15*u**3 + 1/300*u**6. Factor g(f).
2*(f - 2)*(f + 1)**2/5
Let q = 6 + 5. Let f = q - 8. Factor 0*g + 0*g**3 + 4*g + 5 + 3 + 4*g**4 - 4*g**f - 12*g**2.
4*(g - 2)*(g - 1)*(g + 1)**2
Let f(v) be the second derivative of v**5/10 + 59*v**4/3 - 484*v**3/3 + 488*v**2 - 3020*v. Find r such that f(r) = 0.
-122, 2
Let f(l) = -155*l**3 + 8190*l**2 + 16470*l + 8225. Let w(s) = 25*s**3 - 1365*s**2 - 2745*s - 1371. Let k(r) = 4*f(r) + 25*w(r). Solve k(j) = 0.
-1, 275
Factor -53*v - 144*v + 19*v**2 - 1520 - 46*v**2 - 199*v + 23*v**2.
-4*(v + 4)*(v + 95)
Let c = 97 + -94. Let w(z) = z + 2*z**3 - c*z + 3*z**3 + 3 + 7*z**2 - 7. Let j(u) = -6*u**3 - 8*u**2 + 2*u + 4. Let h(s) = 3*j(s) + 4*w(s). Factor h(b).
2*(b - 1)*(b + 1)*(b + 2)
Let t be 8/(-600)*-5*(-3 - 109/(-28)). Let b(u) be the third derivative of 0*u - 1/420*u**6 + 0 + 2/105*u**5 + t*u**4 + 40*u**2 + 0*u**3. Solve b(f) = 0.
-1, 0, 5
Let d(n) = -n**2 - 13*n - 19. Let q be d(-11). Determine a so that 48*a + 24*a**4 + 30*a + 10742*a**3 + 212*a**2 + 22*a + 92*a + 64 + 2*a**5 - 10636*a**q = 0.
-4, -2, -1
Let u(a) = -a**3 + 38*a**2 - 329*a - 344. Let l(j) = 40*j**2 - 325*j - 345. Let m(h) = 6*l(h) - 5*u(h). Factor m(c).
5*(c - 5)*(c + 1)*(c + 14)
Determine w so that -272/5*w**2 - 104188/5 + 10858/5*w + 2/5*w**3 = 0.
14, 61
Let w(a) be the second derivative of a**4/3 + 3132*a**3 + 11035602*a**2 + 1930*a. Find l, given that w(l) = 0.
-2349
Let g(y) be the third derivative of y**7/245 + y**6/70 - 9*y**5/70 - 9*y**4/14 - 2457*y**2 + y. Factor g(s).
6*s*(s - 3)*(s + 2)*(s + 3)/7
Let l(i) = -2*i**3 + i - 5. Let g(h) = 13*h**3 - 171*h**2 + 328*h - 140. Let a(u) = -g(u) - 5*l(u). Find f such that a(f) = 0.
1, 55
Let b(t) = 1227*t + 1230. Let q be b(-1). Let v(s) be the third derivative of -1/12*s**4 + 0 + 0*s + 1/15*s**5 + 1/60*s**6 - 2/3*s**q + 12*s**2. Factor v(u).
2*(u - 1)*(u + 1)*(u + 2)
Let z(d) be the first derivative of -5*d**4/12 + 55*d**3/9 + 35*d**2/3 - 40*d + 1444. Let z(g) = 0. Calculate g.
-2, 1, 12
Let g(c) = -2*c**2 - 182*c - 1617. Let z be g(-10). Find p, given that 0 + 0*p + 6/17*p**2 + 2/17*p**z = 0.
-3, 0
Suppose 0 = -56*a + 91 + 77. Factor -543775*x - 137168*x - 345*x**a - 204*x**3 + 3*x**4 + 33489*x**2.
3*x*(x - 61)**3
Let k(t) = -t**4 - t**2 + t - 1. Let h(n) = -100*n**2 + 114*n**2 - 14*n + 5 - 11 - 11*n**4 + 5*n**3. Let y(v) = h(v) - 6*k(v). Factor y(j).
-5*j*(j - 2)*(j - 1)*(j + 2)
Let j(d) = d**3 + 24*d**2 - 613*d - 13858. Let h be j(-20). Solve 20/3*x - 14/3*x**h - 2/3*x**3 + 32/3 = 0.
-8, -1, 2
Suppose -335 - 189 = -40*c - 124. Let i(w) be the first derivative of -2*w**2 + c - 7/12*w**3 - w. Factor i(u).
-(u + 2)*(7*u + 2)/4
Let s = -312451/5 - -62498. Factor 9*v**2 + 3/5*v**3 + 81/5*v + s.
3*(v + 1)**2*(v + 13)/5
Let r(u) be the second derivative of -u**6/780 + 3*u**5/130 - 7*u**4/78 + 19*u**2/2 + 182*u. Let d(b) be the first derivative of r(b). Factor d(p).
-2*p*(p - 7)*(p - 2)/13
Let z be -5*(-22 - (-4104)/190). Let 0 + 2/9*q**z + 0*q + 1/9*q**3 = 0. What is q?
-2, 0
Let d(i) be the first derivative of i**7/420 - i**6/15 - 9*i**5/20 - 7*i**4/6 + 109*i**3/3 + 7. Let u(l) be the third derivative of d(l). What is w in u(w) = 0?
-1, 14
Let p(x) be the first derivative of x**3/2 + 201*x**2/2 - 408*x + 139. Solve p(d) = 0 for d.
-136, 2
Let x(o) be the second derivative of o**6/75 - 66*o**5/25 + 789*o**4/5 - 8316*o**3/5 + 35721*o**2/5 + 23*o - 4. Factor x(r).
2*(r - 63)**2*(r - 3)**2/5
Let g(m) = -2*m**4 - 4*m**3 - 10*m**2 +