v(y) = -11*y - 4*y - y**2 - 2 + 3*y - 6*y**2. Let m(x) = -8*x**2 - 13*x - 1. Let f(j) = -6*m(j) + 7*v(j). What is l in f(l) = 0?
-4, -2
Let q(w) be the first derivative of 5*w**6/6 - 14*w**5 - 5*w**4 + 280*w**3/3 + 4762. What is d in q(d) = 0?
-2, 0, 2, 14
Let t(i) be the second derivative of -i**4/4 + 24*i**3 + 459*i**2/2 - 14*i + 63. Factor t(x).
-3*(x - 51)*(x + 3)
Let a(z) = 23*z**2 + 33*z - 74. Let r be a(2). Let m be (r/(-126))/((-4)/18). Find p, given that -7/2*p - 5/2*p**m + 1 + 9/2*p**2 + 1/2*p**4 = 0.
1, 2
Let w(z) = 3*z**3 - z**2 - 2*z + 2. Let l(a) = a**3 - a**2 + 1. Let q be 38/(-133) - 60/(-14). Let m(o) = q*l(o) - 2*w(o). Factor m(j).
-2*j*(j - 1)*(j + 2)
Factor -3*k**4 - 1024*k**3 + 0*k**5 + 179*k**4 + 1196*k**3 + 4*k**5.
4*k**3*(k + 1)*(k + 43)
Let c = 804513 + -2413522/3. Determine d, given that -1/3*d**2 - 16/3 - c*d = 0.
-16, -1
Let 38/7*j**2 + 2/7*j**3 + 3150 - 2490/7*j = 0. Calculate j.
-49, 15
Let m be -1*0*1/(-4). Suppose m = 15*z - 10*z - 15. Factor 8*p**3 - p**5 - 13*p - z*p**5 + 9*p.
-4*p*(p - 1)**2*(p + 1)**2
Let w(x) = 2*x - 2707*x**3 - 1 + 2708*x**3 - x. Let k(n) = n**4 - 4*n**3 + n**2 + 2*n - 1. Let q(u) = -2*k(u) - 2*w(u). Factor q(s).
-2*(s - 2)*(s - 1)**2*(s + 1)
Let b(k) be the third derivative of -k**5/60 - 17*k**4/60 + 8*k**3/5 - 23*k**2 + 34. Suppose b(s) = 0. Calculate s.
-8, 6/5
Solve 16/13*v**2 - 270/13*v + 612/13 + 2/13*v**3 = 0.
-17, 3, 6
Let h(w) be the first derivative of -7*w**5/4 + 11211*w**4/16 + 9485*w**3/6 + 2253*w**2/2 + 322*w + 2648. Let h(y) = 0. Calculate y.
-1, -2/5, -2/7, 322
What is t in -187690 + 548*t - 2/5*t**2 = 0?
685
Let k = -113 + 116. Factor -4*j**2 + 6*j**4 - 3*j**k + 11*j**2 + 11*j**3 - 15*j**2.
2*j**2*(j + 2)*(3*j - 2)
Let z be 158/6 + 4/24*4. Let v = -21 + z. Suppose o + 3*o + 2 + v*o + 3 + 5*o**2 = 0. Calculate o.
-1
Let h(q) be the third derivative of -q**6/600 + 79*q**5/100 + 19*q**2 - 68*q. Find z, given that h(z) = 0.
0, 237
Let j(w) be the second derivative of -w**7/840 - 19*w**6/240 + w**5/2 - 133*w**4/6 + 105*w. Let h(y) be the third derivative of j(y). Factor h(x).
-3*(x - 1)*(x + 20)
Let w(z) be the first derivative of z**4/28 + 5*z**3/7 - 53*z**2/7 - 120*z/7 - 4573. Factor w(b).
(b - 6)*(b + 1)*(b + 20)/7
Find n such that -354294 + 1/2*n**3 + 119556*n - 975/2*n**2 = 0.
3, 486
Let b(c) be the first derivative of -c**3/9 - 30*c**2 - 875*c/3 - 7348. Factor b(d).
-(d + 5)*(d + 175)/3
Let g = -294579/8 - -36747. Let q = 607/8 + g. Solve 3/2*y + 0 - y**2 - q*y**3 = 0 for y.
-3, 0, 1
Let b = 9502 - 9496. Let u(q) be the third derivative of 0 - 1/96*q**4 + 0*q - 27*q**2 + 0*q**3 + 1/480*q**5 + 1/960*q**b. Factor u(c).
c*(c - 1)*(c + 2)/8
Factor 1/6*h**4 + 31*h**2 - 178/3*h + 116/3 - 35/6*h**3.
(h - 29)*(h - 2)**3/6
Let k(i) = i**4 - i**3 + i**2 - i + 1. Let v = 69 - 70. Let d(z) = 24*z**4 - 52*z**3 + 44*z**2 + 140*z + 120. Let l(y) = v*d(y) + 20*k(y). Factor l(x).
-4*(x - 5)**2*(x + 1)**2
Let t(n) = 2*n**2 - 7*n + 5. Let b be t(3). Solve 0*p**2 - 2*p**b - p - 9*p = 0 for p.
-5, 0
Factor 168*c**2 + 285*c**3 - 3*c**4 - 2*c**4 + 520*c**2 + 2*c**2 - 970*c**3.
-5*c**2*(c - 1)*(c + 138)
Let h(u) be the third derivative of -u**7/1050 + 4*u**6/75 - 64*u**5/75 + 2653*u**2. Let h(t) = 0. What is t?
0, 16
Let d be 9/((-90)/110) - 3390/(-210). Factor d*p**2 + 3/7*p**4 + 24/7*p + 0 + 18/7*p**3.
3*p*(p + 2)**3/7
Factor -9788*p**2 + 250 + 9773*p**2 + 5*p**4 - 151*p + 35*p**3 - 124*p.
5*(p - 2)*(p - 1)*(p + 5)**2
Let w(f) be the third derivative of -1/45*f**4 + 1/900*f**6 - 60*f**2 - 1/450*f**5 + 0*f + 4/45*f**3 + 0. Solve w(r) = 0 for r.
-2, 1, 2
Let b(r) = -9*r**3 + 991*r**2 - 103*r - 770. Let j be b(110). Factor 0*m + 4/9*m**4 + 2/9*m**5 + 0 + j*m**3 + 0*m**2.
2*m**4*(m + 2)/9
Factor -932/5 - 934/5*j - 2/5*j**2.
-2*(j + 1)*(j + 466)/5
Find q such that -17570592/5 + 11856/5*q - 2/5*q**2 = 0.
2964
Let q be (-10 - -1)*(-13)/39. Let l be 4*(-2 - (3 + -6)). Factor -5*z - 3*z**q + 6*z**3 - 2*z**3 + l*z**3.
5*z*(z - 1)*(z + 1)
Let q(i) be the first derivative of -2*i**3 + 0*i + 0*i**2 - 11/4*i**4 - 4/5*i**5 + 1 + 1/6*i**6. Factor q(o).
o**2*(o - 6)*(o + 1)**2
Let k = 51254 + -153758/3. Factor 2/15*i**2 + 32/15 + k*i.
2*(i + 2)*(i + 8)/15
Suppose 2568208377 - 5*y**4 - 1373880*y**2 - 12851616331 - 202960126 + 196006880*y + 4280*y**3 = 0. What is y?
214
Let w(v) = 2*v**2 - 120*v + 136. Let z(h) = -8*h**2 + 481*h - 554. Let m(j) = 9*w(j) + 2*z(j). Find x, given that m(x) = 0.
1, 58
Factor 173*x**2 - 715*x**2 + 14*x - 46*x**2 - 8*x - 4*x.
-2*x*(294*x - 1)
Let b(m) = -m**2 - 7*m - 8. Let c be b(-2). Suppose 2*t**4 - t**3 + 36*t**c - 4*t - 38*t**2 + 5*t**3 = 0. Calculate t.
-2, -1, 0, 1
Let k(j) = -126*j + 2016. Let i be k(16). Let v(w) be the third derivative of 1/240*w**5 + 11*w**2 + 0 - 1/96*w**4 + 0*w + i*w**3. What is o in v(o) = 0?
0, 1
Let k(p) = 4*p**2 - 23480*p + 23479. Let s be k(1). Let -124/9*v + 16/3 + 12*v**2 + 4/9*v**4 - 4*v**s = 0. What is v?
1, 3, 4
Let 188/11*y**2 + 34/11*y**5 - 106/11*y + 72/11*y**3 - 24/11 - 164/11*y**4 = 0. What is y?
-1, -3/17, 1, 4
Let -199*i**2 - 1038 - 525*i + 61*i**2 + 68*i**2 + 67*i**2 = 0. Calculate i.
-173, -2
Let n(h) be the second derivative of -6/11*h**2 + 1/11*h**4 + 1/11*h**3 - 93 + h - 3/110*h**5. Let n(b) = 0. Calculate b.
-1, 1, 2
Let -24*d + 0 + 26/3*d**2 - 2/3*d**3 = 0. Calculate d.
0, 4, 9
Let l(a) be the third derivative of 2*a**7/105 - 9*a**6/10 + 74*a**5/15 - 8*a**4 + 1172*a**2. Solve l(s) = 0.
0, 1, 2, 24
Let b be 110/36 - 46/(-92). Suppose -b + 2/3*l**3 - 12*l - 34/9*l**2 = 0. Calculate l.
-2, -1/3, 8
Let q(g) be the second derivative of 3*g**5/40 + 3*g**4/8 - 52*g**3 + 3*g - 23. Factor q(c).
3*c*(c - 13)*(c + 16)/2
Let v = -40 - -34. Let m be (-4)/(-6) + (-62)/v. Find a, given that 9*a**2 + m*a**2 + 3*a**3 - 22*a**2 - 2*a**3 = 0.
0, 2
Let t(r) be the second derivative of 3/32*r**4 + 0 + 3/80*r**5 + 0*r**2 + 1/16*r**3 + 88*r. Factor t(u).
3*u*(u + 1)*(2*u + 1)/8
Let y(l) = l**2 + 2. Let o be (2 + -1)/(7/14). Let r(n) = 3*n**2 - 25*n + 16. Let d(p) = o*y(p) + r(p). Factor d(x).
5*(x - 4)*(x - 1)
What is z in 140 - 8*z**2 - 92*z**3 + 27*z**3 + 63*z**3 + 68*z + 66*z + 0*z**2 = 0?
-10, -1, 7
Let d = -4139 + 4142. Let j(l) be the third derivative of -3/32*l**6 + 175/96*l**4 + 0*l + l**5 + d*l**2 + 0 + 5/4*l**3. Solve j(q) = 0 for q.
-1/3, 6
Let q = 119 + -455/4. Let h = 964 + -961. Factor -3/2*r**h - 21/4*r - q*r**2 - 3/2.
-3*(r + 1)*(r + 2)*(2*r + 1)/4
Let v(w) = -6*w**4 - 17*w**3 + 47*w**2 - 40*w + 23. Let k(j) = -j**4 - 5*j**3 + 2 - 11 + 10 + 2*j**2 + 4*j**3. Let u(y) = 14*k(y) - 2*v(y). Factor u(h).
-2*(h - 4)**2*(h - 1)**2
Let m be 0*(10 + -20 + 11). Let w(z) be the second derivative of -1/84*z**4 + 1/14*z**3 - 16*z + 0*z**2 + m. Suppose w(x) = 0. What is x?
0, 3
Let w(v) = 42*v**2 + 371*v - 789. Let b(z) = 8*z**2 + 61*z + 14*z - 157 + 49*z - 1 - 50*z. Let i(d) = 11*b(d) - 2*w(d). Find n, given that i(n) = 0.
-20, 2
Let s be 40 - (41 + 46/(-46)). Find c, given that 9/4*c**3 - 5/2*c + 7/4*c**4 + s + 1/4*c**5 - 7/4*c**2 = 0.
-5, -2, -1, 0, 1
Suppose 392*w - 510 = 2911 + 2459. Factor -504/5*v - 3/5*v**3 - 432/5 - w*v**2.
-3*(v + 1)*(v + 12)**2/5
Factor 0 + 46/3*x**2 - 16/3*x**3 - 28/3*x.
-2*x*(x - 2)*(8*x - 7)/3
Let -254/9*m**2 - 31/9*m**3 - 1/9*m**4 - 224/9*m + 0 = 0. What is m?
-16, -14, -1, 0
Let y(k) be the first derivative of k**3/5 + 147*k**2/10 - 1423. Find i, given that y(i) = 0.
-49, 0
Factor 1368/11*o**2 + 33222/11*o + 14/11*o**3 - 9604/11.
2*(o + 49)**2*(7*o - 2)/11
Let t(w) be the first derivative of 3*w**5/25 - 3*w**4/20 - 44*w**3/5 + 126*w**2/5 - 4702. Find o, given that t(o) = 0.
-7, 0, 2, 6
Let w(z) be the second derivative of -z**6/40 + z**5/20 + z**4/2 - 2*z**3 + 17*z**2/2 + 37*z. Let n(a) be the first derivative of w(a). Factor n(t).
-3*(t - 2)*(t - 1)*(t + 2)
Let o be 731/119 - 4/28. Suppose -11*g + 13*g - 5*y - o = 0, -4*g - y + 12 = 0. Suppose 2/15*l**g + 2/5*l**2 - 2/15 - 2/15*l - 4/15*l**4 = 0. Calculate l.
-1, -1/2, 1
Let m(u) be the second derivative of u**7/189 + 8*u**6/45 + 47*u**5/45 - 4*u**4/9 - 95*u**3/27 - 5321*u. Let m(j) = 0. What is j?
-19, -5, -1, 0, 1
Let b(g) be the third derivative of -50000/3*g**3 + 6*g - 250*g**4 - 1/150*g**6 - 2*g**5 + 28*g**2 + 0. Factor b(h).
-4*(h + 50)**3/5
Let b = 48256 - 4