(c) = 0. What is c?
-1, 0, 1, 10
Suppose 3*x = -6, 2*p - 2*x + 28 - 32 = 0. Let d(n) be the third derivative of 1/6*n**4 + 10*n**2 + p*n + 0 - 1/60*n**5 - 1/2*n**3. Find j, given that d(j) = 0.
1, 3
Let x(p) be the third derivative of -p**7/3360 + p**6/180 + p**5/480 - p**4/12 - 61*p**3/3 - 72*p**2 - p. Let m(g) be the first derivative of x(g). Factor m(z).
-(z - 8)*(z - 1)*(z + 1)/4
Let l(w) be the third derivative of -w**5/120 - 17*w**4/16 + 53*w**3/6 - 8*w**2 - 6*w + 5. Factor l(s).
-(s - 2)*(s + 53)/2
Factor 1070 - 118*m**2 - 269635*m**3 - 10534 + 269637*m**3 + 2080*m.
2*(m - 26)**2*(m - 7)
Let h(o) be the third derivative of -o**5/150 + 71*o**4/15 - 283*o**3/15 - o**2 - 119. Factor h(u).
-2*(u - 283)*(u - 1)/5
Suppose 119*z + 30 = 39*z + 136 + 134. Solve -28/5 - 36/5*l**2 - 4/5*l**z - 12*l = 0.
-7, -1
Suppose -4*r + 42 = 19*m - 14*m, 3*m - r - 15 = 0. Factor 10 + 9 - 27 - 2*p**3 + m*p**2.
-2*(p - 2)**2*(p + 1)
Let v(c) be the third derivative of 49/180*c**6 + 150*c**2 - 4/9*c**4 + 0*c**3 + 7/15*c**5 + 0*c + 0. Let v(q) = 0. Calculate q.
-8/7, 0, 2/7
Let k(q) be the first derivative of -q**6/30 + q**5/15 + q**4/6 - 2*q**3/3 + q**2 - 37*q + 51. Let h(o) be the second derivative of k(o). Factor h(m).
-4*(m - 1)**2*(m + 1)
Let b = 20 - 9. Let i(s) = 2*s - 18. Let j be i(b). Factor 3*z - 3*z**2 - 34*z**4 + 35*z**j - 3*z - 2*z.
z*(z - 2)*(z + 1)**2
Let h(d) be the third derivative of d**8/2520 + d**7/840 - d**6/360 + 29*d**5/30 - 64*d**2. Let z(k) be the third derivative of h(k). Find t such that z(t) = 0.
-1, 1/4
Let q(x) = -13*x**3 + 5*x**2 - x - 4. Let o be q(-3). Let -8*c**2 - 14*c**2 - 74 - 13*c**2 + o*c - 36 = 0. Calculate c.
2/7, 11
Let z be ((-10)/(-680))/(1/(-6) + (-49)/(-168)). What is k in 6/17*k + z*k**2 + 0 = 0?
-3, 0
Let w(o) be the third derivative of o**6/8 + 5*o**5/3 + 85*o**4/24 - o**2 - 132. Factor w(y).
5*y*(y + 1)*(3*y + 17)
Let s(g) be the third derivative of g**6/168 + 743*g**5/420 + 293*g**4/42 - 14*g**3 - 432*g**2 - 9*g. Factor s(h).
(h + 2)*(h + 147)*(5*h - 2)/7
Suppose 0 = t - 0 + 1. Let v be (t - 1)*1*(-30)/20. Factor 4*d**5 - 2*d**5 - 2*d**4 - 2*d**4 + 2*d**4 - 2*d**v + 2*d**2.
2*d**2*(d - 1)**2*(d + 1)
Suppose 0 = -68*y + 80 + 105 + 19. Let x(o) be the second derivative of -1/4*o**4 + 5/12*o**y + 0 + 1/4*o**2 + 8*o. Factor x(n).
-(n - 1)*(6*n + 1)/2
Let g(s) be the second derivative of s**6/10 + 87*s**5/5 - 499*s**4/4 - 1147*s**3 - 2520*s**2 - 1221*s. Suppose g(r) = 0. Calculate r.
-120, -2, -1, 7
Let r = -7 + -16. Let m = r - -47. Factor 10*w**4 - m*w**5 - 4*w**4 + 4*w**3 + 26*w**5.
2*w**3*(w + 1)*(w + 2)
Suppose 12*i**3 + 3/5*i**5 - 288/5*i + 27/5*i**4 - 192/5 - 12*i**2 = 0. What is i?
-4, -2, -1, 2
Let t(v) = v**2 + v + 2. Let d be (-2)/(-8)*4 - -1. Let n(u) = 3*u**2 - 143*u + 2594. Let h(p) = d*n(p) - 2*t(p). Factor h(a).
4*(a - 36)**2
Let d = 6905/2 - 3238. Let k = d + -214. Let 1/4*m**2 - k + 1/4*m = 0. What is m?
-2, 1
Let q = 1305 - 1301. Suppose 2*m + x - 3 = m, q*m + x - 9 = 0. Suppose -2*t - 2/3*t**m - 4/3 = 0. Calculate t.
-2, -1
Let l(g) = 4*g - 10. Let m be l(3). Let z(x) = x**2 - 7*x - 6. Let v(n) = -5*n**2 + 37*n + 31. Let r(d) = m*v(d) + 11*z(d). Find t such that r(t) = 0.
-1, 4
Let p(j) be the first derivative of 15/2*j**2 - 6*j**3 + 3/4*j**4 + 0*j - 48. Factor p(r).
3*r*(r - 5)*(r - 1)
Let l(y) be the first derivative of y**4/36 - 7*y**3/9 + 13*y**2/6 - 124*y - 131. Let d(i) be the first derivative of l(i). Factor d(o).
(o - 13)*(o - 1)/3
Let d(h) = 13*h**2 - 53*h - 84. Let i(p) = 11*p**2 - 50*p - 89. Let y(t) = -5*d(t) + 6*i(t). Determine m so that y(m) = 0.
-3, 38
Let o(t) = -6*t**3 - 15*t**2 + 41. Let p(u) = -2*u**3 - 5*u**2 + 14. Let z(d) = 6*o(d) - 17*p(d). Let x be z(-3). Factor 20*s - 39*s + x*s + 2*s**3.
2*s*(s - 1)*(s + 1)
Let f be (147/90 + (-1052)/1315)*8/10. Factor 2/3 - 2/3*b**2 + f*b - 2/3*b**3.
-2*(b - 1)*(b + 1)**2/3
Let r(m) = -19*m**4 + 9*m**3 - 67*m**2 + 515*m + 1312. Let v(o) = -7*o**4 + 4*o**3 - 22*o**2 + 172*o + 437. Let p(n) = 4*r(n) - 11*v(n). What is k in p(k) = 0?
-3, 7
Let k(c) = 519*c + 108473. Let m be k(-209). Factor 2/7*z**4 - 4/7*z**3 + 0*z**m + 2/7*z**5 + 0 + 0*z.
2*z**3*(z - 1)*(z + 2)/7
Let p(m) = m**4 + 2*m**3 - m**2. Let w(n) = -5*n**4 - 104*n**3 + 345*n**2 - 414*n + 164. Let y(a) = -7*p(a) - w(a). Factor y(j).
-2*(j - 41)*(j - 2)*(j - 1)**2
Let x(l) be the third derivative of l**5/90 + 5*l**4/4 + 14*l**3 + 2*l**2 + 142*l. Factor x(p).
2*(p + 3)*(p + 42)/3
What is a in 197/8*a**2 + 1/8*a**3 + 0*a + 0 = 0?
-197, 0
Let y be (16/6)/(1/(-4 - -1)). Let b(q) = q**3 + 9*q**2 + 8*q + 3. Let k be b(y). Let 3 + 6 + k*n**2 + 15*n + 0*n**2 - 3*n**3 = 0. What is n?
-1, 3
Factor 3/2*k**2 - 453*k + 903/2.
3*(k - 301)*(k - 1)/2
Let g(l) = -73*l**3 - 2853*l**2 - 31242*l + 2416. Let k(z) = 369*z**3 + 14264*z**2 + 156211*z - 12078. Let n(j) = 11*g(j) + 2*k(j). Factor n(d).
-5*(d + 22)**2*(13*d - 1)
Let j(k) be the second derivative of k**6/6 - 2551*k**5 + 32538005*k**4/2 - 166008901510*k**3/3 + 211744353876005*k**2/2 - 10699*k. Factor j(c).
5*(c - 2551)**4
Suppose -232*o - 298*o = -43*o + 263*o + 43*o. Factor -2/3*j**3 + o*j**2 + 2*j - 4/3.
-2*(j - 1)**2*(j + 2)/3
Let y = 454 + -460. Let j be (y/21)/(84/(-147)). Factor 0 + 0*k + k**3 - 3/2*k**2 + j*k**4.
k**2*(k - 1)*(k + 3)/2
Let q(s) be the second derivative of -s**5/80 - 7*s**4/24 + 301*s**3/24 - 143*s**2/4 - 4426*s. What is p in q(p) = 0?
-26, 1, 11
Factor -2/9*u**2 - 74/9*u - 60.
-2*(u + 10)*(u + 27)/9
Let f be 6 - 2 - 4 - -3*1. Let p = 27 - 23. Find g, given that -10*g**2 - p + 11*g**2 + f*g + 0 = 0.
-4, 1
Find m, given that -1763*m**4 - 29*m**3 - 752*m + 1476*m**2 + 1535*m**4 + 81*m**3 - 3*m**5 - 16*m**5 - 528 - m**5 = 0.
-11, -3, -2/5, 1, 2
Let g(b) be the third derivative of 6*b**7/35 - 44*b**6/15 - 137*b**5/15 + 86*b**4/3 + 88*b**3/3 - 2357*b**2. Find n, given that g(n) = 0.
-2, -2/9, 1, 11
Let n(r) be the first derivative of 2*r**3/63 - 4*r**2/3 - 70*r/3 + 3285. Determine q, given that n(q) = 0.
-7, 35
Let r(c) be the second derivative of c**5/80 - 95*c**4/24 - 389*c**3/8 - 441*c**2/2 - 1785*c - 2. Determine b, given that r(b) = 0.
-3, 196
Factor -532*q**4 - 273*q**3 - 181*q**3 - 42*q**3 - 168*q**2 + 5*q**5 + 178*q**4 + 13*q**5.
2*q**2*(q - 21)*(3*q + 2)**2
Let h be (66/(-18) + 4)/(4/60). Let z(f) be the second derivative of -3/100*f**5 + 2/15*f**4 + 0 - h*f - 2/15*f**3 + 0*f**2. Factor z(o).
-o*(o - 2)*(3*o - 2)/5
Let u = 1271857/3 - 423948. Solve u*l - 1/3*l**2 + 0 = 0 for l.
0, 13
Let a(u) be the first derivative of 18/5*u + 24/5*u**2 - 52/15*u**3 - 28/5*u**4 + 147 + 98/25*u**5. Factor a(k).
2*(k - 1)**2*(7*k + 3)**2/5
Let c(s) be the first derivative of 7*s**5/50 + 3*s**4/10 + 2*s**3/15 + 16*s - 50. Let g(u) be the first derivative of c(u). Factor g(l).
2*l*(l + 1)*(7*l + 2)/5
Let k(p) be the second derivative of -p**5/160 - 15*p**4/2 + 721*p**3/48 - 541*p. Let k(t) = 0. Calculate t.
-721, 0, 1
Let q(j) = -2*j**2 - 12*j - 2. Let w be q(-12). Let u = w + 1612/11. Determine o, given that -2/11*o**5 + 2/11*o**2 - u*o**3 + 0 + 6/11*o**4 + 0*o = 0.
0, 1
Let f = -21371 + 21371. Let l(s) be the first derivative of f*s + 3/16*s**4 + 0*s**2 - 22 + 1/24*s**6 - 3/20*s**5 - 1/12*s**3. Find t, given that l(t) = 0.
0, 1
Let r be 15/9*5*12/20. Let t be -2*2/4 + (10 - r). Let 36*n - 168*n**2 + 100*n**3 - 9*n**4 + 4*n**4 - 11*n**t = 0. Calculate n.
0, 1/4, 3
Let v be 11*(87/(-203) - 744/(-1540)). Find o, given that -v*o**3 - 21/5*o**2 + 0 - 18/5*o = 0.
-6, -1, 0
Let f(x) = -3*x**2 + x - 3. Let n(d) = -15*d**2 - 751*d + 246. Let z(c) = -2*f(c) + n(c). Determine m, given that z(m) = 0.
-84, 1/3
Let z(q) be the second derivative of 2*q**4/9 + 43*q**3/9 - 20*q**2 - 1360*q. Solve z(w) = 0 for w.
-12, 5/4
Let b(j) be the third derivative of j**6/240 - j**5/8 - 488*j**2. Let b(t) = 0. What is t?
0, 15
Determine b so that -1754/21*b**4 - 1892/21*b - 40/21*b**5 - 228*b**3 - 4720/21*b**2 - 82/7 = 0.
-41, -1, -3/5, -1/4
Let h(l) = l**2 + 22*l + 59. Let m be h(-3). Factor 0 - 4/13*r - 2/13*r**m.
-2*r*(r + 2)/13
Let r(x) be the first derivative of x**6/30 - x**5/8 - x**4/8 + 2*x**3/3 + x**2 + 64*x - 122. Let n(w) be the first derivative of r(w). Solve n(h) = 0 for h.
-1, -1/2, 2
Let s(x) = 5*x**4 - x**3 - x**2 + 2*x + 1. Let r(o) = 14*o**