4*q. Suppose 0*t + 1/3*t**v + d = 0. What is t?
0
Let u be (-236)/(-120) + 2596/(-1416). What is v in 0 + 8/15*v**2 + u*v**3 + 8/15*v = 0?
-2, 0
Suppose 400 = 93*x - 13*x. Let n(u) be the third derivative of 0 + 0*u + 0*u**3 + 1/60*u**6 + 1/48*u**4 - 8*u**2 - 1/280*u**7 - 7/240*u**x. Factor n(y).
-y*(y - 1)**2*(3*y - 2)/4
Let w = -91 + 310. Suppose -5*m**3 + 6*m**3 - w*m**2 + 219*m**2 - 4*m = 0. Calculate m.
-2, 0, 2
Let -24/5*p**3 - 3/5*p**4 - 324/5 + 27/5*p**2 + 324/5*p = 0. What is p?
-6, 1, 3
Let n be (835/(-668))/(1*2/(-8)). Let k(d) = -5*d**2 - 9*d + 47. Let u(r) = -10*r**2 - 20*r + 95. Let g(f) = n*k(f) - 3*u(f). Factor g(c).
5*(c - 2)*(c + 5)
Suppose -63 = 11*q - 18*q. Let h(m) = 3*m**2 + 11*m - 14. Let d(b) = -8*b**2 - 21*b + 29. Let f(y) = q*h(y) + 4*d(y). Factor f(x).
-5*(x - 2)*(x - 1)
Let f = -3496 - -17482/5. Let y(l) be the first derivative of 1/2*l**4 - f*l**5 + 10/3*l**3 + 13 + 3*l**2 + 0*l. Solve y(z) = 0.
-1, 0, 3
Let c(q) be the first derivative of -1/4*q**4 + 1/12*q**6 + 0*q + 92 - 2*q**3 - 2*q**2 + 3/10*q**5. Determine j, given that c(j) = 0.
-2, -1, 0, 2
Let x be 4 + 3*((-490)/(-42) - 12). Let -3/5*m**x + 0*m**2 + 0*m + 0 + 3/5*m**4 = 0. What is m?
0, 1
Let g(k) = -k**2 - 7*k + 34. Let u be g(-10). Let n(h) = -h + 5. Let o be n(3). Factor 4*d**3 - u*d**3 - 4*d**3 + o*d**3 + d**4.
d**3*(d - 2)
Let b be (6154/153 - 40)*6/(-2)*-3. Find d, given that 0 + 4/3*d**3 + 0*d - 2/3*d**b - 2/3*d**4 = 0.
0, 1
Let z(q) be the first derivative of 3*q**4/16 - 29*q**3/24 - 149*q**2/16 - 3*q - 2147. Factor z(i).
(i - 8)*(i + 3)*(6*i + 1)/8
Let z be ((-5)/((-100)/(-3)))/(75/(-200)). Let c(r) be the second derivative of 1/15*r**4 - 8/5*r**2 + 10*r + 0 - z*r**3. Factor c(t).
4*(t - 4)*(t + 1)/5
Let i = -76721/57 + 1346. Let n = i - -322/57. Factor 2 + 23/3*k + 31/3*k**2 + k**4 + n*k**3.
(k + 1)**2*(k + 3)*(3*k + 2)/3
Let w(a) be the first derivative of -1/20*a**4 + 1/3*a**3 + 99/5*a + 57/10*a**2 - 276. Find h such that w(h) = 0.
-3, 11
Let g(m) be the third derivative of -1/20*m**5 + 0 + m**4 - 8*m**3 + 0*m - 20*m**2. Suppose g(f) = 0. What is f?
4
Let l(o) be the second derivative of -o**4/4 - 17*o**3 + 1833*o**2/2 + 569*o. Suppose l(q) = 0. What is q?
-47, 13
Let u = -50 - -59. Suppose -4*j = 5*i - 18, -4*j + u = i - 1. Solve -4*d**5 - 6*d**4 - 24*d**2 + 4*d**i + 36*d**3 + 0*d**5 - 6*d**4 = 0 for d.
-5, 0, 1
Let d(j) be the first derivative of 58 + 0*j**4 + 0*j + 2*j**5 + 0*j**2 - 1/3*j**6 + 0*j**3. Determine n so that d(n) = 0.
0, 5
Suppose 9*s - 80 = 5*x, 23*x - 58 = 19*x - 5*s. Let 6/7 + 0*p**x + p - 1/7*p**3 = 0. Calculate p.
-2, -1, 3
Let h be -8 + (-6)/48 + (-5 - (-847)/56). Solve 2/15*k**3 + 8192/15 + 512/5*k + 32/5*k**h = 0 for k.
-16
Let m = -240608/15 - -16042. Let v(z) be the first derivative of -10 + m*z**3 - 8/5*z + 4*z**2. Suppose v(j) = 0. What is j?
-2, 2/11
Let y(r) be the first derivative of 494308630*r**4 - 2693780*r**3 + 5505*r**2 - 5*r + 2491. Factor y(v).
5*(734*v - 1)**3
Suppose 0 = -x + 38*h - 41*h + 2, 2*h = 0. Determine j, given that -5512 + 2243*j**x - 84*j + 1156 + 348*j - 2247*j**2 = 0.
33
Let t = 83347 - 166691/2. Factor -15/2*z**2 - t*z + 0.
-3*z*(5*z + 1)/2
Let g(f) be the first derivative of -f**6/42 + 19*f**5/35 - 99*f**4/28 + 27*f**3/7 - 767. Determine m so that g(m) = 0.
0, 1, 9
Suppose 5*o + 3*i + 15 = 41, 4*o - 3*i = 10. Let f = 7937/5012 - 111/716. Determine a so that -4/7*a + f*a**4 + 24/7*a**2 - 2/7 - o*a**3 = 0.
-1/5, 1
Let l(u) = 4*u**4 + 3*u**3 + 8*u**2 - u + 1. Let b(h) = 58*h**4 + 9*h**2 - 120*h**4 + 4*h**3 + 2 - 2*h + 67*h**4. Let z(p) = -5*b(p) + 6*l(p). Factor z(x).
-(x - 1)**2*(x + 2)**2
Let g(y) = 3*y**4 + y**2 - y. Let r(x) = -34*x**4 + 112*x**3 - 970*x**2 + 3338*x - 4096. Let m(i) = 10*g(i) + r(i). Solve m(o) = 0.
4, 16
Let t(k) be the third derivative of 0 + 78*k**2 - 8/7*k**3 + 1/140*k**5 + 3/28*k**4 + 0*k. Solve t(h) = 0 for h.
-8, 2
Let k(a) = 27*a**2 - 503*a - 1451. Let r(m) = -16*m**2 + 252*m + 728. Let j(d) = 4*k(d) + 7*r(d). Factor j(n).
-4*(n + 3)*(n + 59)
Let c(f) be the second derivative of f**7/1260 + f**6/180 + f**5/60 + 5*f**4/6 - 66*f. Let i(d) be the third derivative of c(d). Factor i(t).
2*(t + 1)**2
Let h(r) be the second derivative of r**6/120 + r**5/15 - r**4/24 - 2*r**3/3 - 113*r**2/2 - 9*r + 3. Let v(b) be the first derivative of h(b). Factor v(y).
(y - 1)*(y + 1)*(y + 4)
Let k = 4223463/11 + -383951. Factor 0 + k*q**3 - 6/11*q - 4/11*q**2.
2*q*(q - 3)*(q + 1)/11
Let l(y) be the first derivative of -y**4/7 + 5804*y**3/7 - 12632406*y**2/7 + 12219747404*y/7 - 1446. Factor l(h).
-4*(h - 1451)**3/7
Suppose 0 = h + 213 - 249. Let -h*o - 8 - 3 + 81*o**2 + 15 = 0. What is o?
2/9
Let l(s) be the first derivative of s**6/14 - 9*s**4/28 - 2*s**3/7 - 1443. Factor l(j).
3*j**2*(j - 2)*(j + 1)**2/7
Let y be (-4 + 7)*-4*-1. Let i be (-5*2/15)/((-10)/y). Factor 0 - 2/5*g - 4/5*g**4 + 2/5*g**5 + i*g**2 + 0*g**3.
2*g*(g - 1)**3*(g + 1)/5
Let q = 130 - 100. Let h be ((-2)/q)/(6/(-18)) + 1. Find s, given that 0 + 0*s**2 - 2/5*s**4 - h*s**3 + 8/5*s = 0.
-2, 0, 1
Let z(c) = 14*c**4 + 172*c**3 - 134*c**2 - 47*c. Let y(i) = 14*i**4 + 172*i**3 - 134*i**2 - 46*i. Let s(v) = -5*y(v) + 6*z(v). Let s(k) = 0. Calculate k.
-13, -2/7, 0, 1
Factor 3146/15 - 814/15*t - 2/15*t**3 + 14/3*t**2.
-2*(t - 13)*(t - 11)**2/15
Let s(t) be the third derivative of t**8/448 + 11*t**7/280 + 19*t**6/160 + 9*t**5/80 + 5053*t**2. Find a, given that s(a) = 0.
-9, -1, 0
Let c(l) = -l**3 + 68*l**2 - 63*l + 4. Let a(i) = -15*i**3 + 1089*i**2 - 1008*i + 66. Let g(t) = 2*a(t) - 33*c(t). Factor g(v).
3*v*(v - 21)*(v - 1)
Let g be (-6)/(-10) + (-14)/(-10) + -6. Let s(z) = -z**3 - 6*z**2 - 8*z + 2. Let f be s(g). Determine w so that 392 - 716*w + 772*w + 5*w**2 - 3*w**f = 0.
-14
Suppose v - 4 + 6 = -3*l, v = -4*l - 2. Let c(a) be the second derivative of -8/45*a**3 - 16/15*a**2 + l - 1/90*a**4 - 8*a. Solve c(d) = 0 for d.
-4
Factor 3*b**4 - 1604*b - 1054 - 108*b**3 - 1852*b + 1164*b**2 + 4126.
3*(b - 16)**2*(b - 2)**2
Determine a so that -1/2*a**2 + 247 + 493/2*a = 0.
-1, 494
Determine i, given that 6/5*i**3 + 426/5*i + 114 - 138/5*i**2 = 0.
-1, 5, 19
Suppose v + 40 - 44 = 0. Factor 2*f**3 - 23*f**3 - 183*f**2 + 12*f - 9*f**v + 183*f**2.
-3*f*(f + 1)*(f + 2)*(3*f - 2)
Let l(f) be the second derivative of 14/27*f**3 - 1/9*f**2 + 0 - 87*f + 1/54*f**4 - 7/45*f**5. Solve l(k) = 0 for k.
-1, 1/14, 1
Let k = 2/117999 + 809134/117999. Factor 48/7 + 3/7*t**3 - 3/7*t**2 - k*t.
3*(t - 4)*(t - 1)*(t + 4)/7
Let q(t) be the first derivative of -t**4/8 - 2*t**3/3 + 11*t**2/4 - 3*t - 1275. Solve q(i) = 0.
-6, 1
Suppose 450*l - 501*l + 67 + 86 = 0. Factor 0*a - a**2 + 1/5*a**l + 0.
a**2*(a - 5)/5
Let z(p) be the third derivative of p**6/120 + 19*p**5/30 - p**4/24 - 19*p**3/3 - 22*p**2 + 3. Factor z(b).
(b - 1)*(b + 1)*(b + 38)
Let r be (-186)/1023 + 32/55. Let t(s) be the first derivative of 0*s**3 + 0*s**4 - r*s**5 + 0*s + 42 + 0*s**2. Factor t(w).
-2*w**4
Let m(p) be the first derivative of 141 + 0*p**3 + 1/2*p**4 + 12*p - 7*p**2. Let m(x) = 0. What is x?
-3, 1, 2
Suppose 0 = 28*z - 29*z + 155. Factor -463*d + 21*d**2 - 186*d + 180 - z*d + 168*d.
3*(d - 30)*(7*d - 2)
Let q(h) be the second derivative of -1/5*h**5 + 0 - 6*h**4 - 256*h**2 - 64*h**3 + 19*h. Solve q(a) = 0 for a.
-8, -2
Let l(f) = -357*f - 1067. Let y be l(-3). Let o(j) be the second derivative of 0 + 1/10*j**6 + 19*j + 0*j**5 + 0*j**3 + 0*j**2 - 1/4*j**y. Solve o(n) = 0.
-1, 0, 1
Let h = -42826 + 128480/3. Let p(f) be the second derivative of h*f**3 + 1/24*f**4 + 7/4*f**2 - 2*f + 0. Determine g so that p(g) = 0.
-7, -1
Factor 16432*w + 2/3*w**3 + 16224 + 626/3*w**2.
2*(w + 1)*(w + 156)**2/3
Let m = -62/1225 + -2808739/3675. Let a = m - -765. Find q such that a + 49/3*q**3 - 41/3*q**4 - 7*q**2 + 4*q**5 - 1/3*q = 0.
-1/4, 2/3, 1
Let r(v) be the third derivative of 1/480*v**5 + 0 + 0*v**4 + 0*v - 4*v**3 - 1/1440*v**6 - 26*v**2. Let s(w) be the first derivative of r(w). Factor s(u).
-u*(u - 1)/4
Suppose -330*t + 707 + 70 = 117. Let c(m) be the second derivative of -17/6*m**4 + 0 + 10*m - 3*m**t - 16/3*m**3 - 2/5*m**5. Determine i so that c(i) = 0.
-3, -1, -1/4
Let n(r) be the third derivative of r**6/160 + 9*r**5/40 + 27*r**4/8 + 27*r**3 - 190*r**2 + r. Factor n(f).
3*(f 