0)*942*-5. Suppose j*i**2 + 465*i + 2*i**2 - n*i = 0. Calculate i.
0, 3
Let a be 2/(-8) - (-147796)/1232. Let c = 120 - a. Factor -2/7*p**4 + 0 - c*p**3 + 2/7*p**2 + 2/7*p.
-2*p*(p - 1)*(p + 1)**2/7
Let s(c) = 263*c + 22618. Let a be s(-86). Determine q, given that a + 1/4*q**3 - 3/4*q**2 + 1/2*q = 0.
0, 1, 2
Let f be (-3 - -9)*(-3 + 48/6). Find a such that -8 + a**2 - f + 7*a + 3*a + 7*a = 0.
-19, 2
Let y = 225 + -231. Let c be (16/28)/(y/(-7)). Factor 0*x**2 + 0*x - x**4 - 1/3*x**3 - c*x**5 + 0.
-x**3*(x + 1)*(2*x + 1)/3
Suppose -5*t - 3 = -3*i - 22, -3*t = i - 3. Let c(v) = 3*v**2 + 4*v + 28 - 9 - 14 - 7. Let m(r) = -r - 1. Let q(d) = t*m(d) - c(d). Let q(b) = 0. What is b?
-2, 0
Let z = -3408/1705 - -338/155. Let 578/11 + z*u**2 + 68/11*u = 0. Calculate u.
-17
Let i(c) = c + 23. Let j(l) = -3*l**2 - 270*l + 57. Let v(g) = 9*i(g) + j(g). Let v(t) = 0. What is t?
-88, 1
Let 0*f + 141/7*f**4 - 36/7*f**2 + 27/7*f**5 + 0 - 132/7*f**3 = 0. Calculate f.
-6, -2/9, 0, 1
Let s(i) be the first derivative of i**3/15 - 89*i**2/2 + 444*i/5 - 5606. Factor s(b).
(b - 444)*(b - 1)/5
Let n(v) = -11*v**2 + 5*v. Let u(m) = 7*m**3 - m**3 + 2*m**2 - 5*m**3 + 2*m. Let y be u(-2). Let k(d) = d**2 - d. Let x(s) = y*k(s) - n(s). Factor x(r).
r*(7*r - 1)
Let x be 28174/(-360) + 25/(-100). Let g = -442/9 - x. Factor -3/5*c**4 - 48/5*c**3 - 234/5*c**2 - g - 336/5*c.
-3*(c + 1)**2*(c + 7)**2/5
Factor 0 - 46/13*v**2 + 14/13*v.
-2*v*(23*v - 7)/13
Let o be (198 + -228)*(-4)/84. Determine k, given that 0 - 4/7*k + o*k**2 = 0.
0, 2/5
Let g(z) be the first derivative of -z**6/2 + 21*z**5/5 + 27*z**4/2 + 2*z**3 - 51*z**2/2 - 27*z + 2302. Factor g(q).
-3*(q - 9)*(q - 1)*(q + 1)**3
Let p(j) = -172*j - 169. Let r be p(-1). Let x(h) be the second derivative of -15*h + 0*h**2 + 0 - 1/66*h**4 - 2/33*h**r. Find d such that x(d) = 0.
-2, 0
Let q(z) be the second derivative of z**6/1800 - z**5/600 - z**4/60 - 28*z**3 + 58*z. Let k(h) be the second derivative of q(h). Determine t so that k(t) = 0.
-1, 2
Let 0*m**2 + 38*m**4 + 29*m**4 + 76*m**2 + 35*m**2 + 2*m - 40*m**2 + 136*m**3 = 0. Calculate m.
-1, -2/67, 0
Let -210*n**3 - 69*n**4 - 40906 + 20358 + 1647*n**2 + 20464 - 1860*n = 0. Calculate n.
-7, -1/23, 2
Let y(t) be the second derivative of t**4/78 + 28*t**3/13 + 1147*t. Suppose y(w) = 0. What is w?
-84, 0
Let n be (-1 + 2)*(-42)/(-112)*8. Suppose 0 = -h + 4*t, -4*h + 8*h - n*t - 13 = 0. Factor 0 + 4/15*d**3 + 0*d - 2/5*d**h + 2/15*d**2.
-2*d**2*(d - 1)*(3*d + 1)/15
Let a(k) be the first derivative of -k**4/14 + 74*k**3/21 - 216*k**2/7 + 360*k/7 - 1851. Suppose a(d) = 0. What is d?
1, 6, 30
Factor -75209 + 16*o + 75209 + 18*o - 116*o**3 + 2*o - 94*o**2 + 14*o**4.
2*o*(o - 9)*(o + 1)*(7*o - 2)
Let b(f) be the first derivative of 5/2*f**2 + 0*f - 25/21*f**3 - 1/210*f**5 + 15 - 5/42*f**4. Let x(k) be the second derivative of b(k). Factor x(h).
-2*(h + 5)**2/7
Suppose 7 = -d + 31. Suppose -11*k + 7*k = -d. Determine w, given that -3*w - w**2 + 30*w - 6 - k*w**2 - 5*w**2 = 0.
1/4, 2
Let f(t) be the second derivative of -t**4/36 - 19*t**3/18 + 1442*t. Factor f(z).
-z*(z + 19)/3
Suppose -64*h = -230 - 538. Let s be h/4 + -4 + (-176)/(-56). Solve 3/7*v**4 - 6/7 - s*v + 3/7*v**3 - 9/7*v**2 = 0.
-1, 2
Let o(r) be the third derivative of 1/12*r**6 + 0 + 0*r**3 + 0*r**4 + 4/105*r**7 + 1/15*r**5 + 25*r**2 + 0*r + 1/168*r**8. What is m in o(m) = 0?
-2, -1, 0
Let p(x) be the first derivative of 1/15*x**4 - 2/5*x**3 + 0*x**2 + 6 - 18*x. Let v(a) be the first derivative of p(a). Factor v(c).
4*c*(c - 3)/5
Let z(f) be the third derivative of -f**8/448 - 19*f**7/140 - 127*f**6/80 + 161*f**5/5 + 8967*f**4/32 + 3087*f**3/4 - 5195*f**2. Find i such that z(i) = 0.
-21, -2, -1, 7
Let c(s) = s**2 - 43*s + 286. Let u be c(9). Let q be (-6 - 1391/(-234))*u/1. Factor -q*w**3 + 0 + 8/9*w + 38/9*w**2.
-2*w*(w - 4)*(5*w + 1)/9
Let d = -236700 + 236703. Suppose 66/7*k**2 - 52/7*k + 172/7*k**d + 6/7 + 48/7*k**4 = 0. Calculate k.
-3, -1, 1/6, 1/4
Let h = -291 + 293. Factor -2057*d**4 - 15*d**3 + 2*d**5 + 2055*d**4 - 30*d**h - 19*d**3.
2*d**2*(d - 5)*(d + 1)*(d + 3)
What is u in 12*u**5 + 12*u + 37473*u**4 + 4 - 37485*u**4 - 16*u**5 + 8*u**2 - 8*u**3 = 0?
-1, 1
Let d(v) be the first derivative of -1/10*v**5 + 7*v**2 + 0*v**4 - 24 + 0*v**3 + 3/40*v**6 + 0*v. Let o(j) be the second derivative of d(j). Factor o(m).
3*m**2*(3*m - 2)
Suppose -f - 9 = -4*g - 3, f + 4 = 3*g. Suppose -40*a - 35*a**3 + 1462*a**2 - 683*a**g + 5*a**4 - 709*a**2 = 0. Calculate a.
0, 1, 2, 4
Let q(k) be the first derivative of k**6/3 + 18*k**5/5 - 11*k**4 - 750. Solve q(h) = 0.
-11, 0, 2
Suppose 0 = -152*c + 137*c + 75. Let u(i) be the first derivative of 5 + 2/3*i**2 - 1/15*i**c + 0*i - 8/9*i**3 + 5/12*i**4. Factor u(w).
-w*(w - 2)**2*(w - 1)/3
Let m(u) be the second derivative of -2*u**4 + 0*u**2 - 27/10*u**5 - 1/2*u**3 - 5/14*u**7 + u - 8/5*u**6 + 11. Factor m(q).
-3*q*(q + 1)**3*(5*q + 1)
Let q(k) = 2*k**2 - 56*k + 50. Let g(b) = 4*b**2 - 113*b + 99. Suppose -3*w - 2*n = -21, -4*w - 4 = -2*n - 18. Let l(m) = w*q(m) - 2*g(m). Factor l(h).
2*(h - 26)*(h - 1)
Let j(x) = 6*x + 187. Let i be j(-30). Factor 11 - i - 9*g**3 - 12*g - 2*g**3 + 5*g**3 + g**4 + 13*g**2.
(g - 2)**2*(g - 1)**2
Suppose -420 - 472 = 19*f - 949. Let r(c) be the second derivative of 0 + 6*c**2 - 21*c + 1/4*c**4 - 5/2*c**f. Factor r(s).
3*(s - 4)*(s - 1)
Let t(y) be the third derivative of 1/8*y**4 + 0 + 6*y**2 + 3*y - 1/40*y**6 + 3/20*y**5 - y**3 - 1/70*y**7. Suppose t(v) = 0. Calculate v.
-2, -1, 1
Let c = 116685 - 1283507/11. Determine v, given that 2*v**2 + 6/11 + c*v = 0.
-1, -3/11
Let c(y) = y**2 - 211*y + 2576. Let z be c(13). Let v(x) be the first derivative of -1/14*x**4 - 21*x**2 - z*x**3 - 98*x + 28. Factor v(a).
-2*(a + 7)**3/7
Let p be 6 + 4 + -8 + 0. Factor -124*j + 272*j + 2*j**p - 116*j - j**2 + 256.
(j + 16)**2
Let g be (3 - -76 - 68)*6/22. Factor 0*k**g + 3/2*k**4 - 21/2*k**2 + 0 + 9*k.
3*k*(k - 2)*(k - 1)*(k + 3)/2
Let n(s) be the third derivative of 100*s**2 + 0*s**3 + 0*s + 1/24*s**6 - 1/4*s**5 + 0*s**4 + 0. Find k, given that n(k) = 0.
0, 3
Let w be ((-230)/(-16))/(-13 - (-423)/12 - 21). Factor w*t + 21 + 1/2*t**2.
(t + 2)*(t + 21)/2
Let n(a) be the first derivative of a**6/6 - 2*a**5 - 95*a**4/4 - 40*a**3/3 + 200*a**2 - 256*a - 2536. Let n(k) = 0. What is k?
-4, 1, 16
Let f(b) be the second derivative of -2/15*b**6 + 0*b**4 - 1/273*b**7 - 13/10*b**5 + 0 + 0*b**3 - 70*b + 0*b**2. What is z in f(z) = 0?
-13, 0
Let r(c) be the first derivative of -c**5/90 - 17*c**4/36 - 29*c**2 + 8. Let j(d) be the second derivative of r(d). Factor j(f).
-2*f*(f + 17)/3
Let w be 8/(160/(-15))*(-2 - (-6)/4). Let p(y) be the first derivative of w*y**2 + 18 + 1/12*y**3 + 0*y. Factor p(m).
m*(m + 3)/4
Let k(v) be the third derivative of 3/40*v**4 - 9/10*v**3 + 1/20*v**5 + 0 + 5*v + 1/200*v**6 + 2*v**2. Let k(p) = 0. Calculate p.
-3, 1
Let h(s) be the first derivative of -5/3*s**3 + 110*s**2 - 215*s + 119. Suppose h(g) = 0. Calculate g.
1, 43
Let w(d) be the first derivative of d**9/4032 - d**8/560 + 3*d**7/1120 + 163*d**3/3 + 164. Let m(a) be the third derivative of w(a). Let m(h) = 0. Calculate h.
0, 1, 3
Let t(r) = -3*r**3 + 67*r**2 + 524*r + 728. Let k(z) = z**3 - 35*z**2 - 262*z - 364. Let d(f) = 14*k(f) + 6*t(f). Factor d(m).
-4*(m + 2)*(m + 7)*(m + 13)
Suppose -10*c + 120 = -6*c. Let x be ((-2)/(-5) - 132/c) + 8. Suppose 13*d**4 - 12*d**2 - 5*d**x + 2*d**5 - 2*d**3 + 4*d**2 = 0. Calculate d.
-4, -1, 0, 1
Let x(f) be the second derivative of f**7/7140 - f**6/3060 - f**5/510 + 7*f**3/6 + f**2/2 - f - 31. Let o(p) be the second derivative of x(p). Factor o(v).
2*v*(v - 2)*(v + 1)/17
Let r(w) be the second derivative of -12*w**6/5 + 354*w**5/5 - 4021*w**4/6 + 1770*w**3 - 2025*w**2 + 1490*w. Determine k, given that r(k) = 0.
5/6, 9
Find x, given that 378 - 8*x**2 - 2*x**2 + 14*x**2 + 380*x - 2*x**2 = 0.
-189, -1
Let k = -442/7 + 64. Let v be 180/(-14) - 1512/(-108). Determine h so that k*h - v*h**2 + 0 + 2/7*h**3 = 0.
0, 1, 3
What is p in 9*p**3 + 158*p**4 - 59*p**4 - 3*p**5 - 131 - 198*p + 267 - 136 - 291*p**2 = 0?
-1, 0, 2, 33
Let k(c) be the third derivative of c**6/100 + c**5/150 - 17*c**3/2 - 43*c**2. Let b(p) be the first derivative of k(p). Factor b(a).
2*a*(9*a +