rst derivative of h(d). Let n(k) = 0. What is k?
-6
Let z(j) = j**3 + j**2 + 20*j + 13. Let v(x) = x**3 - x**2 + 19*x + 12. Let g(l) = 4*v(l) - 5*z(l). Let w(d) be the first derivative of g(d). Solve w(n) = 0.
-4, -2
Suppose -b + 4*p = 3*p - 6, 5*b - 70 = -5*p. Factor 60 - b*x**3 + x**4 + 0*x**4 + 100*x - x**4 - 4*x**2 - 5*x**4 + 39*x**2.
-5*(x - 3)*(x + 1)*(x + 2)**2
Let u(x) be the second derivative of -x**7/2520 + x**6/48 - 7*x**5/60 + 35*x**4/12 + 57*x. Let z(q) be the third derivative of u(q). Solve z(s) = 0.
1, 14
Let m(a) be the second derivative of -7*a**6/20 - 39*a**5/20 - 3*a**4 - 2*a**3 + 9*a**2 - 39*a. Let l(d) be the first derivative of m(d). Solve l(o) = 0.
-2, -1/2, -2/7
Let w(a) = 6*a**2 + 4*a + 3. Let j be w(-2). Suppose 24*o - 5*o = 190. Factor -11*k**3 + 24 + k**3 + 5*k - o*k**2 + 5*k**4 + 5*k**5 - j.
5*(k - 1)**2*(k + 1)**3
Determine z, given that 1512*z - 274*z**3 + 279*z**3 + 37*z**3 + 1311*z**2 - 406 - 134 = 0.
-30, -3/2, 2/7
Suppose 36421*q = 36387*q. Factor q*j + 0 + 32/9*j**2 + 4/9*j**3.
4*j**2*(j + 8)/9
Let b(h) = h**2 + 78*h + 72. Let m(a) = -5*a**2 - 305*a - 290. Let n(c) = -15*b(c) - 4*m(c). Find g, given that n(g) = 0.
-8, -2
Factor 3*a**2 + 273*a - 296 + 683*a - 69*a.
(a + 296)*(3*a - 1)
Suppose -1834 = -55*c + 4711. Let v be (-112)/(-132) + 5 + c/(-21). Solve -4/11 + 4/11*o**2 + v*o**3 - 2/11*o = 0 for o.
-2, -1, 1
Let f = 30 + -42. Let q be f/9*3/(-2). Factor 12*n**q + n**5 + 8*n**3 - 4*n**5 - 4*n + 2*n**5 + 6*n**4 - 21*n**3.
-n*(n - 2)**2*(n - 1)**2
Factor -2 + 4*c**2 - 19*c - c**4 + 4*c**2 + 7*c**3 - 5*c**2 - 7 - 5.
-(c - 7)*(c - 2)*(c + 1)**2
Solve 906/11*d - 908/11 + 2/11*d**2 = 0 for d.
-454, 1
Let k = -260 - -269. Suppose -8*i**2 - k*i**4 + 63*i**3 - 47*i**3 - i**4 + 2*i**5 = 0. Calculate i.
0, 1, 2
Let b(g) = -4*g**5 + 9*g**4 - 8*g**3 + 9*g**2 + 9. Let u(c) = 9*c**5 - 19*c**4 + 15*c**3 - 19*c**2 - 21. Let h(x) = -7*b(x) - 3*u(x). Factor h(s).
s**2*(s - 3)*(s - 2)*(s - 1)
Suppose -9*s + 4 = 22. Let d be (6/s)/(-19 - -18). Factor 0*b**2 + 0*b**2 - d*b - 4 - 3*b**2 + 10.
-3*(b - 1)*(b + 2)
Suppose -429 = -13*p + 143. Let i be (-187)/p - (-1 + -4). What is c in 0*c**3 + 0*c + i - 3/2*c**2 + 3/4*c**4 = 0?
-1, 1
Let u(y) = -y**3 - 6*y**2 + 13*y + 35. Let t be u(-7). Let m be (30/15 - t)/(1*5). Solve 12/5*o**2 - 3/5*o + m*o**3 - 6/5 = 0 for o.
-1, 2/3
Let t(u) be the second derivative of u**5/40 + 17*u**4/24 + 7*u**3/2 + 16*u + 1. Find b, given that t(b) = 0.
-14, -3, 0
Let a(z) = -z**3 - 215*z**2 + 64*z - 32832. Let u be a(-216). Factor -10/11*l**2 + 2/11*l + u + 8/11*l**3.
2*l*(l - 1)*(4*l - 1)/11
Determine q so that q**5 + 24 + 14955436*q**4 - 14955437*q**4 + 17*q**2 + 176 - 35*q**3 + 250*q = 0.
-5, -2, -1, 4, 5
Let 66 + 72 + 145*u**2 - 138 - 146*u**2 + 142*u = 0. Calculate u.
0, 142
Let x(w) be the first derivative of -3*w**4/4 - 63*w**3 + 396*w**2 - 804*w + 623. Factor x(p).
-3*(p - 2)**2*(p + 67)
Suppose 0 = -2*s - 239 + 255. Suppose -34*v + 8 = s. Factor v*j**2 + 0*j - 50/13*j**5 + 0 - 8/13*j**3 - 40/13*j**4.
-2*j**3*(5*j + 2)**2/13
Let o = 113054/35 + -3230. Let j(a) be the first derivative of 4/7*a**3 - 10/7*a**2 + 10 + 5/7*a**4 - 16/7*a + o*a**5. Let j(k) = 0. Calculate k.
-4, -1, 1
Let o(m) be the second derivative of m**4/126 - 53*m**3/63 + 34*m**2/7 + 399*m. Factor o(s).
2*(s - 51)*(s - 2)/21
Let f be ((21/7)/(-3))/((-1)/4). Determine l so that -8 + 5*l**4 - 6*l**2 - 12*l - 3*l**4 - f*l + 4*l**3 = 0.
-2, -1, 2
Let w be (-3)/(-1)*(18961/(-201) - -96). Factor 16/5*o**4 + 2/5*o**w - 26/5*o + 24/5*o**3 - 12/5 - 4/5*o**2.
2*(o - 1)*(o + 1)**3*(o + 6)/5
Let j = 223 + -135. Find t, given that -j*t**3 + 34*t**4 - 7*t**4 + 85*t**3 + 156*t**5 = 0.
-1/4, 0, 1/13
Let q(p) = p**3 + 6*p**2 + 8*p - 41. Let b be q(-7). Let l = b - -440/3. Factor 2/3*u**3 - l*u**5 + 0 + 2/3*u**2 - 2/3*u**4 + 0*u.
-2*u**2*(u - 1)*(u + 1)**2/3
Let l be 4 + (6 - -2) + -5. Let u(h) = -18 + 4*h - l*h**2 + 21 + 13. Let m(g) = 13*g**2 - 7*g - 31. Let j(i) = -4*m(i) - 7*u(i). Find f, given that j(f) = 0.
-2, 2
Suppose -72*f = -22*f - 600. Find y, given that f*y + 8*y**2 + 11*y**3 - 15*y**3 + 0*y**3 = 0.
-1, 0, 3
Let c be (-596)/(-12) - (-2)/6. Let f be (-8)/(-10)*c/20. Factor 4*j**2 - 2 + 6*j**2 - j**3 - 6*j**f + 4 - 5*j.
-(j - 2)*(j - 1)**2
Let a(k) = -4*k + 2. Let d(r) = -4*r**2 + 6272*r - 2383984. Let z(x) = 24*a(x) + d(x). Find p such that z(p) = 0.
772
Let v(u) be the second derivative of 299/120*u**5 + 2 - 243/2*u**2 + 945/4*u**3 - 303/8*u**4 - u - 11/180*u**6. Find p such that v(p) = 0.
2/11, 9
Let c be (63/315*(-28)/21)/((-6)/45). Let -70 + 40*n - 5/2*n**c = 0. Calculate n.
2, 14
Suppose 0 = -25*h - 5687 + 587. Let d = h + 209. Solve 10/3*p**4 - 2/3*p**2 + 16/3*p - 2/3*p**d - 14/3*p**3 - 8/3 = 0.
-1, 1, 2
Factor -306*a + 2*a**3 - 269*a - 21*a**2 + 531*a - a**3 - 22*a**2.
a*(a - 44)*(a + 1)
Let d = 171750211/270 - 636110. Let o = -5/54 + d. Solve -3/5*s**4 + 3/5*s + o*s**2 - 3/5*s**3 - 6/5 = 0.
-2, -1, 1
Let w be ((-4)/(-6))/(5/360*12). Let s be 310/(-50) - (-3 - w). Factor -s*d**2 + 0 + 4/5*d.
-4*d*(d - 1)/5
Let o be (-21)/14*1*148/(-2775)*35. Factor -2/5*d**2 + o*d - 4.
-2*(d - 5)*(d - 2)/5
Let j = 1115 - 1101. Suppose 3*f - b = -5*b + 24, -2*f - 2*b + j = 0. Factor 2/5*h + 18/5*h**f + 0 + 6/5*h**3 - 2*h**2.
2*h*(h + 1)*(3*h - 1)**2/5
Let v(i) = 3*i**2 + 2*i + 2. Let n(k) = -5*k**3 - 910*k**2 - 1275*k - 358. Let o(g) = n(g) - 4*v(g). Factor o(b).
-(b + 1)*(b + 183)*(5*b + 2)
Factor -17/8*s**3 - 25/4 - 81/8*s**2 - 115/8*s - 1/8*s**4.
-(s + 1)**2*(s + 5)*(s + 10)/8
Let z(m) be the third derivative of -m**2 + 15 - 8/3*m**3 + 0*m + 1/15*m**5 + 0*m**4. Solve z(u) = 0.
-2, 2
Determine k so that 18004*k**3 - 14789*k + 392*k**4 + 529/2 + 412161/2*k**2 = 0.
-23, 1/28
Let g(v) = -627*v - 21316. Let x be g(-34). Factor -51/2*m - 2601/4 - 1/4*m**x.
-(m + 51)**2/4
Let p(u) be the third derivative of -2*u**7/735 + 13*u**6/70 - 5*u**5/7 + 37*u**4/42 + 179*u**2 - 6*u. Suppose p(v) = 0. What is v?
0, 1, 37
Let d(j) = -4069*j + 52899. Let r be d(13). Factor 3/5*b + 0 + 3/5*b**r.
3*b*(b + 1)/5
Suppose 0 = 49*b - 1195 + 19. Factor 122*s**3 - b*s**3 + 4*s**4 - 10*s**3 + 219*s**2 + 80*s - 55*s**2.
4*s*(s + 1)**2*(s + 20)
Factor 176/3*m + 1/3*m**2 + 7744/3.
(m + 88)**2/3
Let k(p) be the first derivative of 0*p**3 + 4*p + 0*p**2 - 2*p**4 - 1 - 1/5*p**5. Let b(j) be the first derivative of k(j). Factor b(f).
-4*f**2*(f + 6)
Let l(w) be the third derivative of -w**5/60 - 487*w**4/12 - 973*w**3/6 + 199*w**2 - 7*w - 2. Factor l(j).
-(j + 1)*(j + 973)
Let s(b) be the third derivative of b**5/420 + 73*b**4/168 + 46*b**3/7 - 3206*b**2. Factor s(i).
(i + 4)*(i + 69)/7
Determine g so that -240/13*g - 334/13*g**2 + 2/13*g**5 + 46/13*g**4 + 288/13 + 238/13*g**3 = 0.
-12, -1, 1
Let j(y) be the first derivative of 5*y**3/3 + 860*y**2 + 147920*y - 4699. Factor j(w).
5*(w + 172)**2
Factor -4/15*a**2 + 2/15*a**3 - 2*a + 0.
2*a*(a - 5)*(a + 3)/15
Suppose 2*j + 5*j**2 + 2*j**2 - 112 - 218 + j - 4*j**2 = 0. What is j?
-11, 10
Let u = 3088 - 3084. Determine d, given that -8/3*d**u - 2/9*d**5 + 196/9*d**2 - 14/3*d**3 + 0 + 0*d = 0.
-7, 0, 2
Factor -2/9*x**4 + 34/9*x**3 + 10/3*x + 0 - 62/9*x**2.
-2*x*(x - 15)*(x - 1)**2/9
Let m(a) = -2*a**2 - 18*a + 78. Let j(y) = -5*y**2 + 16*y**2 - 9*y**2 - y**2 + 1. Let l(r) = -3*j(r) - m(r). Determine k so that l(k) = 0.
9
Let w be ((-377)/(-125) + -3)/(-2). Let s = w + 377/250. Determine d, given that 3/2*d**5 + 9*d**3 + 0 + 6*d**2 + 6*d**4 + s*d = 0.
-1, 0
Let o be 1/((-35)/(-10)) + (-437)/(-161). Let t(b) be the second derivative of 4/3*b**o - b**4 + 20*b + 0 + 0*b**2 + 1/5*b**5. Suppose t(k) = 0. What is k?
0, 1, 2
Let u = -424 - -446. Let z be 3106/480 + u/352. Solve -2/15*o**2 - z + 28/15*o = 0.
7
Let s(b) be the third derivative of -b**7/210 + b**6/40 - b**5/60 + 17*b**3/3 + 68*b**2. Let n(l) be the first derivative of s(l). Let n(q) = 0. What is q?
0, 1/4, 2
Let w be (-5175)/(-125) + (-6)/(-10). Suppose -w*u + 38 = -46. Let 4/9*o**u - 4/9 - 2/9*o + 2/9*o**3 = 0. Calculate o.
-2, -1, 1
Suppose -296 = -p - 149 - 145. Factor -144*m + 224 + 120/7*m**p - 4/7*m**3.
-4*(m - 14)**2*(m - 2)/7
Suppose -a + 4*v = v - 79, -5*a + 382 = -2*v. Let o be 4/(-24)*2 - (-28)/12. What is p in 10*p + 70 - p**o + 28*p**2 + 11*p - a = 0?
-1, 2/9
Le