 13*z + 15. Let q be u(-7). Factor 16 - 30*n**2 - 8*n - 30*n**2 + q*n**2 - 12*n**3 + 16.
-4*(n + 1)*(n + 4)*(3*n - 2)
Let i be 32 - 15*5/(-15). Suppose -8*r + i - 13 = 0. Factor 2/11*t + 0 - 4/11*t**2 + 2/11*t**r.
2*t*(t - 1)**2/11
Suppose 48 = u + 8. Let k be (18/10)/(3 - 96/u). Determine p, given that 44*p - 759*p + 90*p**2 + 35*p**2 - 781 - 5*p**k - 64 = 0.
-1, 13
Factor 17363*h**2 + 28*h + 14 - 17364*h**2 - 110.
-(h - 24)*(h - 4)
Let s(v) be the third derivative of 22*v**5/5 + v**4/6 + 6201*v**2. Factor s(b).
4*b*(66*b + 1)
Let u(y) be the second derivative of y**6/150 - y**5/15 + 4*y**4/15 - 8*y**3/15 + 111*y**2/2 - 23*y. Let g(f) be the first derivative of u(f). Factor g(k).
4*(k - 2)**2*(k - 1)/5
Let s(c) be the third derivative of 0 + 41/315*c**7 - 2/5*c**5 + 2/9*c**4 - 1/24*c**8 + 1/10*c**6 + 0*c**3 - 2*c**2 + 63*c. Solve s(i) = 0 for i.
-1, 0, 2/7, 2/3, 2
Let y(d) be the second derivative of -2 - 1/4*d**4 - 1/20*d**5 + 43*d + 8/3*d**3 - 6*d**2. Suppose y(w) = 0. Calculate w.
-6, 1, 2
Let a = -163 - -128. Let j(m) = -m**3 + 5*m - 4. Let r(c) = -5*c**3 + 45*c + 3*c**3 - 8*c**3 - 35. Let k(q) = a*j(q) + 4*r(q). Factor k(p).
-5*p*(p - 1)*(p + 1)
Let p(z) = -13*z + 2. Let o be p(0). What is m in -28*m**3 + 23*m**o + 16*m**3 + 3*m**5 + m**5 - 15*m**2 = 0?
-2, 0, 1
Let u(j) be the first derivative of j**8/840 + 2*j**7/525 + j**6/300 - 111*j**2 - 153. Let l(m) be the second derivative of u(m). Factor l(d).
2*d**3*(d + 1)**2/5
Suppose 13*i - 5595 = 1932. Factor 25*t**2 - i*t**3 + 1 + 14 + 35*t + 584*t**3.
5*(t + 1)**2*(t + 3)
Let t be 14/(-4)*(-35814)/329. Solve -9*n**2 + 3*n**3 + t*n - 2*n**3 + n**3 - 24 - 331*n - 19*n**2 = 0.
1, 12
Let n(b) be the second derivative of -b**7/14 + 9*b**6/20 - 19*b**5/20 + 3*b**4/4 - 171*b**2/2 - 233*b. Let j(x) be the first derivative of n(x). Factor j(w).
-3*w*(w - 2)*(w - 1)*(5*w - 3)
Let s = -162864 + 814322/5. Find d, given that -s*d**2 + 12/5*d - 18/5 = 0.
3
Suppose -7*y + 360 = -270. Factor y*m - 8*m**2 - 114*m + 6*m**2 - 72.
-2*(m + 6)**2
Let u(v) be the first derivative of -v**6/5 - 34*v**5/25 - 37*v**4/10 - 26*v**3/5 - 4*v**2 - 8*v/5 - 2257. Determine z, given that u(z) = 0.
-2, -1, -2/3
Suppose 0 = -5*p - 5*n + 45, -4*p + 2*n = -11 - 1. Suppose 0 = p*f - 3*i - 26, -1 = f - i - 7. Solve -4*x**4 + 2*x**5 + 3*x**f - x**4 = 0.
0, 1
Suppose 0 = 2*q + m + 5 + 82, 2*q - 3*m + 107 = 0. Let z be (200/14)/(q/(-805)). Factor -68*o**3 - 450*o - 260*o**2 - z - 2/5*o**5 - 42/5*o**4.
-2*(o + 1)*(o + 5)**4/5
Let y be 150/(-8) - (-1387)/(135 - 62). Solve 0 - 7*m + y*m**2 = 0 for m.
0, 28
Let j(z) be the first derivative of -5*z**6/6 + 84*z**5 - 10005*z**4/4 + 50350*z**3/3 - 47190*z**2 + 60840*z - 1346. Solve j(l) = 0 for l.
2, 39
Let c(w) = -w**3 + 4*w**2 + 17*w + 6. Let n(b) = -b**2 - 2*b. Let q(v) = 5*c(v) + 30*n(v). Factor q(g).
-5*(g - 2)*(g + 1)*(g + 3)
Let q(i) = -85*i - 340. Let x be q(-4). Let g(b) be the third derivative of -1/12*b**4 + 0*b**3 + 1/20*b**5 - 12*b**2 + x*b + 0 - 1/120*b**6. Factor g(f).
-f*(f - 2)*(f - 1)
Factor -58/9*q + 50/9 + 8/9*q**2.
2*(q - 1)*(4*q - 25)/9
Let f(b) be the third derivative of -b**8/1008 + b**7/84 - 65*b**3/6 + 2*b**2 + 9. Let s(m) be the first derivative of f(m). Find r, given that s(r) = 0.
0, 6
Let s(f) be the third derivative of -f**8/840 - f**7/84 + 4*f**3/3 + 4*f**2 + 6*f. Let v(c) be the first derivative of s(c). Factor v(m).
-2*m**3*(m + 5)
Let s(p) be the second derivative of p**5/90 - 95*p**4/54 + 1183*p**3/27 - 441*p**2 + 92*p + 7. Let s(z) = 0. Calculate z.
7, 81
Let k(h) be the second derivative of -3*h**6/20 + 13*h**5/20 + 49*h**4/8 + 31*h**3/3 + 3*h**2 + 371*h + 4. Find d, given that k(d) = 0.
-2, -1, -1/9, 6
Let o(m) = m**4 + 163*m**3 + 250*m**2 - 6*m. Let g(c) = -2*c**4 - 171*c**3 - 250*c**2 + 7*c. Let q(d) = -6*g(d) - 7*o(d). Suppose q(p) = 0. Calculate p.
-2, 0, 25
Let x(p) be the second derivative of -p**6/2 - 119*p**5/4 - 5155*p**4/12 + 5005*p**3/2 - 2205*p**2 - 4*p + 698. Suppose x(s) = 0. What is s?
-21, 1/3, 2
Let h(d) be the first derivative of -53 - 8/9*d**2 - 2/27*d**3 + 2*d. Factor h(a).
-2*(a - 1)*(a + 9)/9
Let z = 5/12 - 92/3. Let s = -59/2 - z. Suppose 0 - 3/4*o**5 + 9/4*o**4 - s*o**3 - 9/4*o**2 + 3/2*o = 0. What is o?
-1, 0, 1, 2
Let f = 73 + 87. Let m be f/9 + (-42)/(-189). Let x(a) = -2*a**2. Let h(n) = 19*n**2 - 5*n + 6. Let r(b) = m*x(b) + 2*h(b). Factor r(q).
2*(q - 3)*(q - 2)
Let c(t) = -19*t - 113. Let a be c(-7). Suppose -a*x + 64 = 4. Determine r, given that -2/15*r**x + 0 - 4/15*r**2 + 2/5*r = 0.
-3, 0, 1
Let h(k) be the third derivative of -k**4/3 - 2*k**3/3 + 22*k**2. Let f be h(-1). Factor 0*m - 60*m**4 + 24*m**3 - f*m + 113*m**4 - 6*m**2 - 67*m**4.
-2*m*(m - 1)**2*(7*m + 2)
Let d(x) be the second derivative of -2*x**4/15 + 913*x**3/30 - 57*x**2/5 + 3710*x. Suppose d(a) = 0. Calculate a.
1/8, 114
Solve -1800 - 105*h - 1/4*h**3 + 13*h**2 = 0.
-8, 30
Find i, given that -430*i + 1/2*i**2 + 92450 = 0.
430
Let h(t) be the second derivative of -t**5/100 - 21*t**4/40 + 11*t**3/5 - 32*t**2 + 5*t. Let l(n) be the first derivative of h(n). Factor l(f).
-3*(f - 1)*(f + 22)/5
Let z(s) be the third derivative of -7*s**6/30 - 3233*s**5/60 + 869*s**4/12 - 116*s**3/3 + 11*s**2 + 28*s. Find f, given that z(f) = 0.
-116, 1/4, 2/7
Suppose 4*k + 29 = -3*i + 3*k, 0 = -3*k - 6. Let v be 107/21 - (i/(-9) - -4). Factor 0 - v*d**2 + 10/21*d.
-2*d*(d - 5)/21
Let k(n) be the second derivative of 1/21*n**7 + 0*n**2 + 36*n - 3/10*n**5 - 2/3*n**4 + 1 + 2/15*n**6 + 4/3*n**3. Factor k(g).
2*g*(g - 1)**2*(g + 2)**2
Let b = 40 - -16. Suppose -15*x = -b*x + 164. Find j, given that -2/11*j**x - 2/11*j**5 + 0 + 2/11*j**3 + 2/11*j**2 + 0*j = 0.
-1, 0, 1
Let v be (139/(-5))/((-28)/(-35))*4. Let w be (6 - 2) + (-3 - 0 - v). Factor -18*g**3 - 5*g**5 - 12*g**4 - 12*g**2 + 2*g**5 + w*g - 143*g.
-3*g*(g + 1)**4
Let m be (-14)/(-56)*4 + 1 + -1. Let f be (-102)/(-85) - (12/(-20) + m). Factor 4*l + 0 - f*l**2.
-4*l*(l - 5)/5
Let n(z) be the second derivative of 3/4*z**4 + 0 + 47/30*z**3 + 214*z + 13/100*z**5 + 8/5*z**2 - 1/150*z**6. Factor n(a).
-(a - 16)*(a + 1)**3/5
Solve -1257*i + 1530 - 158*i**2 - 156*i**2 + 317*i**2 + 3500 - 50 = 0 for i.
4, 415
Let j(f) be the third derivative of 0 + 0*f + 0*f**3 - 2/105*f**7 + 75*f**2 + 4*f**4 + 3/10*f**6 + 34/15*f**5. Solve j(v) = 0.
-2, -1, 0, 12
Let b(j) be the third derivative of 39/100*j**6 + 0*j**3 + 0*j + 174*j**2 - 1/525*j**7 + 19773/20*j**4 + 0 - 1521/50*j**5. Factor b(u).
-2*u*(u - 39)**3/5
Let b be (20 + -6)/2 + -5. Solve -185*f + 426*f + 4*f**3 + 28*f**b - 193*f = 0 for f.
-4, -3, 0
Suppose -8*g + 60 + 284 = 0. Suppose g*n + 10 = 42*n - 3*p, 2*p = -4*n. Find w such that 12/7 - 3/7*w**3 - 3/7*w**n + 12/7*w = 0.
-2, -1, 2
Let q = -694339/13 - -53415. Find i, given that -392/13 - q*i - 2/13*i**2 = 0.
-14
Suppose -74 = 173*w - 454*w + 769. Determine u so that 2/11*u**4 + 12/11*u + 0 + 2/11*u**2 - 8/11*u**w = 0.
-1, 0, 2, 3
What is a in -90*a**4 - 7/2*a**5 + 24*a + 0 - 35*a**2 - 291/2*a**3 = 0?
-24, -1, 0, 2/7
Let n(r) be the second derivative of 1/5*r**5 + 8/3*r**4 + 20*r**2 - 2*r - 38/3*r**3 + 19. Solve n(i) = 0.
-10, 1
Suppose -5*f - 55*y + 139 = -58*y, -3*f - 5*y + 97 = 0. Let w be ((-2)/5)/((-29)/f)*5. Factor -4/3 - 4/3*q**3 + 4/3*q**w + 4/3*q.
-4*(q - 1)**2*(q + 1)/3
Let l(x) be the third derivative of -119*x**2 + 0*x**3 - 2197/24*x**4 - 13/40*x**6 - 1/210*x**7 - 169/20*x**5 + 0*x + 0. Determine s so that l(s) = 0.
-13, 0
Let v(a) be the first derivative of -a**6/6 + 7*a**4/4 - 2*a**3 - 437. Factor v(x).
-x**2*(x - 2)*(x - 1)*(x + 3)
Factor -2/5*m**2 + 168 + 64/5*m.
-2*(m - 42)*(m + 10)/5
Let k(w) be the third derivative of w**8/84 + 46*w**7/35 + 67*w**6/10 + 199*w**5/15 + 11*w**4 - 3*w**2 + 2*w - 2. Factor k(q).
4*q*(q + 1)**3*(q + 66)
Suppose 92 = 19*z + 27*z. Let r(a) be the second derivative of 0*a**z + 0 + 1/13*a**3 - 4*a - 1/78*a**4. Suppose r(x) = 0. Calculate x.
0, 3
Let y(q) = -246*q**4 - 651*q**3 + 246*q**2 + 3861*q - 1536. Let g(l) = 93*l**4 + 244*l**3 - 92*l**2 - 1448*l + 576. Let v(n) = -21*g(n) - 8*y(n). Factor v(s).
3*(s - 2)*(s + 4)**2*(5*s - 2)
Suppose 0 = -4*t + 3*t - 2*u + 34, 112 = 8*t + 6*u. Determine w so that 10/13*w + 8/13*w**t + 4/13 + 2/13*w**3 = 0.
-2, -1
Let c(p) be the third derivative of