 -3*x + 19 = -j + 6*j, 4*j - 4*x = -4. Let z be (2 - 16/12)*(1 - -2). Factor 2 - 30*d**2 + 57*d**z + j*d - 29*d**2 - 2*d**3.
-2*(d - 1)*(d + 1)**2
Factor 8/5 - 4*l**2 - 36/5*l.
-4*(l + 2)*(5*l - 1)/5
Let v be (16/((-640)/72))/(9/(-30)). Suppose -97*o + v = -94*o. What is d in 2/11*d**o - 4/11*d + 0 = 0?
0, 2
Find u such that -142721 + 51893 - 14627*u**2 - 6004*u**2 - 510*u**3 + 88740*u - 3*u**4 = 0.
-87, 2
Let m(k) be the second derivative of k**5/180 - 137*k**4/108 + 5*k**3 - 4284*k. Suppose m(v) = 0. What is v?
0, 2, 135
Let x be ((-27126)/330 - -90) + (1 - -2). Determine t, given that -x*t - 3/5*t**2 - 243/5 = 0.
-9
Suppose 18 = 16*n - 7*n. Factor 741*x + 726*x - 198*x**n - 1682*x**3 - 2235*x + 736*x - 266*x**2.
-2*x*(29*x + 4)**2
Let w(k) be the third derivative of 5*k**2 + 0 - 2/9*k**3 + 31/120*k**6 + 149/180*k**5 - 3*k + 13/18*k**4. Suppose w(g) = 0. What is g?
-1, -2/3, 2/31
Let p(u) be the third derivative of 0*u + 1/30*u**5 + 1/80*u**6 + 0 - 1/840*u**7 - 45*u**2 - 1/16*u**4 - 7/24*u**3. Solve p(q) = 0.
-1, 1, 7
Suppose 0 = 34*f + 116*f - 750. Let o(g) be the first derivative of -1/24*g**4 - 10 + 1/30*g**f - 1/18*g**3 + 1/36*g**6 + 0*g + 0*g**2. Factor o(j).
j**2*(j - 1)*(j + 1)**2/6
Let l(t) be the third derivative of -4/105*t**5 + 3/14*t**4 + 0 - 190*t**2 + 0*t - 4/21*t**3. Let l(i) = 0. Calculate i.
1/4, 2
Let z = -34/5 + -2177/10. Let f = 225 + z. Find u such that 9/2*u + 4 + f*u**2 = 0.
-8, -1
Let c = 543 + -540. Factor -3*n**5 - 33*n**2 + 5*n**3 - 5*n**4 - 5*n**c - n**4 + 3*n + 39*n**2.
-3*n*(n - 1)*(n + 1)**3
Let r(d) be the second derivative of 3/2*d**2 - 1/4*d**4 + 0*d**3 + d - 1. Factor r(o).
-3*(o - 1)*(o + 1)
Let d(j) be the first derivative of 7/5*j**5 - 10*j**2 + 1/2*j**4 - 7*j**3 + 62 - 4*j. Find z, given that d(z) = 0.
-1, -2/7, 2
Let a(q) = 3*q - 51. Suppose -34*n + 162 = -25*n. Let m be a(n). Determine w so that 4/7*w + 0*w**2 - 2/7 - 4/7*w**m + 2/7*w**4 = 0.
-1, 1
Let 97/2*w**2 - 1/2*w**3 + 94 - 142*w = 0. What is w?
1, 2, 94
Let b(p) be the first derivative of 8/3*p**5 + 25/12*p**4 - 5/9*p**3 + 8/9*p**6 - 5/6*p**2 + 1/3*p + 101. Factor b(z).
(z + 1)**3*(4*z - 1)**2/3
Let n(b) = b**3 - 55*b**2 + 162*b - 42. Let c(v) = -v**2 - 3*v - 2. Let u(a) = -22*c(a) - 2*n(a). Factor u(q).
-2*(q - 64)*(q - 1)**2
Suppose 3*z - 2310 = -3*h, -h = z - 5*z + 3060. Suppose -3*v + z = -4*w, -w + 15 = 2*w. Factor 7*x**3 - 5*x**2 - v*x + 262*x - 2*x**3.
5*x**2*(x - 1)
Let y(s) be the first derivative of 2*s**3/21 + 3046*s**2/7 + 4639058*s/7 - 9915. Factor y(p).
2*(p + 1523)**2/7
Let i(u) be the first derivative of -1/30*u**3 + 3/5*u - 148 + 1/20*u**2. Find b, given that i(b) = 0.
-2, 3
Let n(i) be the first derivative of -i**4/5 - 164*i**3/15 + 1124*i**2/5 - 416*i - 7303. Determine h, given that n(h) = 0.
-52, 1, 10
Let b(r) be the first derivative of -5*r**6/6 + 16*r**5/5 + 2*r**4/3 - 24*r**2 - 90. Let j(q) be the second derivative of b(q). Let j(g) = 0. What is g?
-2/25, 0, 2
Find u, given that -4*u**5 + 0 - 176/7*u**2 + 176/7*u**4 - 20/7*u**3 + 48/7*u = 0.
-1, 0, 2/7, 1, 6
Let z(k) = 27*k**2 + 23*k - 2. Let u be z(-1). Let x(y) be the second derivative of 9*y**u + 1/6*y**4 - 2*y**3 + 0 + 8*y. What is g in x(g) = 0?
3
Let p be (-48)/(-216)*-9 - -2. Let r(j) be the second derivative of p*j**2 + 2/3*j**3 + 0 + 0*j**4 + 12*j - 1/5*j**5. Factor r(k).
-4*k*(k - 1)*(k + 1)
Let x = 429/248 - 347505/353896. Let v = x + 3/1427. Factor 15/4*o + v*o**3 - 3/2 - 3*o**2.
3*(o - 2)*(o - 1)**2/4
Let a(j) be the third derivative of 0*j + 1/336*j**8 + 0*j**3 + 3 - 1/6*j**4 + 8*j**2 + 1/40*j**6 + 2/105*j**7 - 1/15*j**5. Factor a(g).
g*(g - 1)*(g + 1)*(g + 2)**2
Let y(u) = -22*u**3 - 4*u**2 + 8*u - 6. Suppose -5*w + 19 = -16. Let g(i) = 23*i**3 + 4*i**2 - 9*i + 7. Let x(c) = w*y(c) + 6*g(c). Solve x(b) = 0 for b.
-1/2, 0, 1/4
Let r(f) be the third derivative of -f**6/420 + f**5/70 + f**4/21 - 2*f**2 - 3149*f. Find y such that r(y) = 0.
-1, 0, 4
Factor 126*s + 100 - 1801*s + 328*s - 34*s**2 + 501*s.
-2*(s + 25)*(17*s - 2)
Suppose 0 = -4*b + 40*b - 108. Factor 33*c**2 + 1331 + 213*c**3 - 185*c - 178*c - 214*c**b.
-(c - 11)**3
Let j be (-109 - -119)/(5*1). Find d such that -875*d**2 - 16*d + d - 9*d + 876*d**j + 144 = 0.
12
Factor -16*i**3 + 520*i**2 - 352*i**3 + 354*i**4 + 217*i**3 - 209*i**4 + 60*i - 414*i**3.
5*i*(i - 2)**2*(29*i + 3)
Let z(x) be the first derivative of 14/33*x**3 - 16/11*x**2 + 24/11*x - 4 - 1/22*x**4. Factor z(l).
-2*(l - 3)*(l - 2)**2/11
Suppose 3*p = 3*x + 33, 7*x - 4*x + 11 = p. Let z be (p/(-22))/((-2)/(-6))*-3. Let 3/8*k**3 + 3 + z*k + 9/4*k**2 = 0. Calculate k.
-2
Let n be ((-15)/(-5) + 137)/(-1). Let m = 140 + n. Suppose 3/4*a**3 + m + 3/2*a + 9/4*a**2 = 0. Calculate a.
-2, -1, 0
Let n(x) be the second derivative of -x**5/70 - 67*x**4/42 - 488*x**3/21 - 944*x**2/7 + 3*x + 495. Factor n(q).
-2*(q + 4)**2*(q + 59)/7
Factor -111*j**2 + 756*j**3 + 812*j - 89*j**2 - 735*j**3 + 80 - 92*j**2.
(j - 10)*(j - 4)*(21*j + 2)
Factor 7883*d**2 - 10 - 27*d + 9*d**4 - 9*d**3 - 10*d**4 - 7908*d**2.
-(d + 1)**2*(d + 2)*(d + 5)
Let c be 2985/25200*76 + -9. Let x(l) be the third derivative of -1/84*l**4 + 0*l + 0 - c*l**5 - 6*l**2 - 1/42*l**3. Factor x(m).
-(m + 1)**2/7
Let n(a) = 2*a + 10. Let z(g) = -g**2 - g + 3. Let l(j) = -j**2 - j + 4. Let v(x) = -4*l(x) + 5*z(x). Let y(k) = -n(k) - 2*v(k). Factor y(p).
2*(p - 2)*(p + 2)
Factor -12 - 39/5*f**2 + 3/5*f**3 + 96/5*f.
3*(f - 10)*(f - 2)*(f - 1)/5
Let x(v) = -v**2 + 2*v. Let n(f) = 4*f**2 - 53*f. Suppose -5*a = m - 26, -5*a + 7 = -18. Let g(i) = m*x(i) - n(i). Find k such that g(k) = 0.
0, 11
Let w(r) be the second derivative of 9*r**7/2 + 30*r**6 + 273*r**5/5 + 37*r**4/2 - 59*r**3/2 - 9*r**2 - 2604*r. Suppose w(n) = 0. What is n?
-3, -1, -2/21, 1/3
Let j be 7/(-1)*36/84. Let s(o) = 4*o**4 + 37*o**3 + 105*o**2 + 88*o + 12. Let m(v) = -2. Let l(n) = j*s(n) + 6*m(n). Let l(b) = 0. Calculate b.
-4, -1, -1/4
Let l be (84/72)/(1/(-17)). Let q = l - -241/12. Factor -q*t**2 + 7/4*t + 0.
-t*(t - 7)/4
Let k(y) be the third derivative of 21/20*y**5 + 0*y + 1/8*y**4 - 1/40*y**6 + 7*y**2 - 21/2*y**3 + 13. Determine a so that k(a) = 0.
-1, 1, 21
Find f such that 4477456/3 + 1/3*f**2 - 4232/3*f = 0.
2116
Let u = -239284 + 1196704/5. Suppose -8 + 409/5*z**3 - 618/5*z**2 + u*z - 7*z**4 = 0. Calculate z.
2/7, 2/5, 1, 10
Let r = 93050 + -372193/4. Factor 5/4*h**2 + 1/2*h - r*h**3 + 0.
-h*(h - 1)*(7*h + 2)/4
Let o(p) = -p**2. Let r(h) be the second derivative of -2/3*h**4 - 8/3*h**3 + 0 - 6*h**2 + 14*h - 1/20*h**5. Let z(d) = o(d) - r(d). What is v in z(v) = 0?
-3, -2
Let o be (-68)/2 - (-26352)/756. Suppose 0 - 3/7*y**2 + o*y = 0. Calculate y.
0, 2
Determine d so that 155*d - 3*d**2 + 318*d + 9*d**2 - d**2 - 1558*d - 6690 = 0.
-6, 223
Factor -55*t**4 + 903 + 5*t**5 - 903 + 135*t**3 + 8*t - 125*t**2 + 32*t.
5*t*(t - 8)*(t - 1)**3
Determine b so that -34*b + 64*b**2 - 261*b + 619 - 403 - 125*b = 0.
9/16, 6
Let x(q) = q + 9. Let o be x(-5). Suppose 63 = -o*p + 13*p. Let -2 + 21*t**2 - 18*t + p - 6 - 2 = 0. Calculate t.
-1/7, 1
Let x be (-51)/12 + -16 + 533/26. Let j(n) = -n**2 - 5*n - 4. Let u be j(-4). Factor -x*g**2 - 1/4*g + u.
-g*(g + 1)/4
Solve -472827/4 - 1191/2*m - 3/4*m**2 = 0 for m.
-397
Suppose 0 = 242*a - 74*a + 169*a + 168*a. Determine u so that -24*u + 3/2*u**4 - 18*u**2 + a + 0*u**3 = 0.
-2, 0, 4
Let j = -1492100/7 - -213158. Determine r so that -j*r**2 + 0*r + 0 + 36/7*r**3 = 0.
0, 1/6
Find f, given that 220/7 - 46/7*f - 2/7*f**3 - 4*f**2 = 0.
-11, -5, 2
Let y(s) be the first derivative of s**6/12 + 61*s**5/5 - 31*s**4/2 - 61*s**3/3 + 123*s**2/4 - 2299. Let y(q) = 0. Calculate q.
-123, -1, 0, 1
Let v = 340 + -337. Let -259*n**3 - 1445*n + 347*n**v - 222*n**2 + 232*n**3 - 5388*n**2 - 20*n**4 + 355*n**3 = 0. Calculate n.
-1/4, 0, 17
Let 0 + 116/5*y + 2/5*y**2 = 0. Calculate y.
-58, 0
Let f(g) be the first derivative of 5*g**3/3 - 105*g**2/2 - 110*g - 1929. Let f(i) = 0. Calculate i.
-1, 22
Find o such that -176/9 + 82/9*o + 5/9*o**2 - 1/9*o**3 = 0.
-8, 2, 11
Let i(q) = -2*q**3 + 24*q**2 + 7*q - 79. Let c be i(12). Let k be ((-3)/c)/((-12)/40). Factor -5/2 + 1/4*o**k + 9/4*o.
(o - 1)*(o + 10)/4
Let c(g) = g - 8. Let b be c(15). Solve 3*q - q**2 + 9 + 5*q**2 - b*q**2 + 3*q = 0.
-1, 3
Let p(a) = 17*a**2 -