alculate d.
-1, 2/11
Suppose 1149*w + 12 = 1151*w - 4*n, -5*n - 10 = -2*w. Find q such that -5/4*q**3 - 5/2*q**2 + 0 + w*q = 0.
-4, 0, 2
Let r(a) be the third derivative of -17*a**8/10080 - a**7/168 + a**6/180 - 13*a**5/10 - a**2 - 19*a. Let g(f) be the third derivative of r(f). Factor g(m).
-2*(m + 1)*(17*m - 2)
Determine c, given that -50010*c**4 - 39*c - 33*c + 100026*c**4 + 148*c**2 - 50012*c**4 - 80*c**3 = 0.
0, 1, 18
Let w(x) be the second derivative of -x**6/6 - 6*x**5 - 325*x**4/6 - 160*x**3 - 425*x**2/2 - 939*x - 1. Solve w(c) = 0.
-17, -5, -1
Let v(j) be the third derivative of 5*j**9/3024 - j**8/336 + 10*j**3 - 136*j**2. Let u(o) be the first derivative of v(o). Factor u(n).
5*n**4*(n - 1)
Let k(u) be the first derivative of -u**3/15 + 62*u**2 - 19220*u - 793. Find r such that k(r) = 0.
310
Let r(p) be the third derivative of -167*p**2 + 11/15*p**5 + 0 - 2/105*p**7 + 0*p**3 + p**4 + 2/15*p**6 + 0*p. Let r(t) = 0. What is t?
-1, 0, 6
Let 805/2 - 75*v + 5/2*v**2 = 0. Calculate v.
7, 23
Find t, given that 82 + 4*t**2 - 349 - 428 + 36*t + 77 + 74 = 0.
-17, 8
Let n(r) be the third derivative of r**5/140 + 31*r**4/14 - 125*r**3/14 - 102*r**2. Factor n(b).
3*(b - 1)*(b + 125)/7
Suppose 0 = 49*c - 44*c - 4080. Let m = -4078/5 + c. What is v in 12/5*v**3 - 12/5*v + 16/5*v**2 - 18/5 + m*v**4 = 0?
-3, -1, 1
Factor 4/5*w**3 - 3 - 28/5*w + 1/5*w**4 - 2*w**2.
(w - 3)*(w + 1)**2*(w + 5)/5
Let n(w) be the third derivative of w**5/20 - 1389*w**4/2 + 3858642*w**3 - 3388*w**2. Find l, given that n(l) = 0.
2778
Let d(u) be the third derivative of 0*u**3 - 1/672*u**8 + 1/240*u**6 - 34*u**2 + 1/210*u**7 + 0 - 1/60*u**5 + 0*u**4 + 0*u. What is j in d(j) = 0?
-1, 0, 1, 2
Let u(z) be the second derivative of -33*z + 0 + 11/50*z**5 + 4/5*z**2 - 16/15*z**3 - 1/35*z**7 - 1/15*z**6 + 3/10*z**4. Solve u(v) = 0.
-2, 1/3, 1
Find o, given that 15193188*o**4 - 15192648*o**4 + 1148700*o - 441000 - 7695*o**3 - 112510*o**2 - 9*o**5 + 34*o**5 = 0.
-21, 2/5, 10
Let r(d) be the first derivative of d**6 - 165*d**5 + 3633*d**4/4 - 1871*d**3 + 3597*d**2/2 - 798*d - 7099. Solve r(g) = 0 for g.
1/2, 1, 2, 133
Let o = -80/63 + 1621/1260. Let l(y) be the second derivative of 11*y + 2/63*y**7 + 0*y**3 + 0*y**2 + 0 + 1/30*y**6 - o*y**5 + 0*y**4. Solve l(n) = 0 for n.
-1, 0, 1/4
Let k(w) be the third derivative of 0*w**3 - 1/120*w**6 + 0*w**4 - 212*w**2 - 1/30*w**5 + 0*w + 0. Find j such that k(j) = 0.
-2, 0
Let f(n) be the third derivative of -n**7/1260 - n**6/90 - n**5/20 - n**4/9 + 49*n**3/3 - n**2 - 10*n. Let q(m) be the first derivative of f(m). Factor q(k).
-2*(k + 1)**2*(k + 4)/3
Let r be 40/(-224)*4*((-436)/260 - 51/(-663)). Factor -6/7 - r*j**2 + 1/7*j**3 + 13/7*j.
(j - 6)*(j - 1)**2/7
Let c(d) = 57*d**5 - 32*d**4 + 5*d**3 + 18*d**2 + 15*d + 3. Let b(x) = -21*x**5 + 11*x**4 - 2*x**3 - 6*x**2 - 5*x - 1. Let m(o) = 11*b(o) + 4*c(o). Factor m(w).
-(w - 1)*(w + 1)**3*(3*w + 1)
Let c(h) = -4*h + 84. Let j = 135 + -115. Let b be c(j). Let -20*r**2 + 0*r + 14*r**2 - b*r - 2*r**3 = 0. What is r?
-2, -1, 0
Suppose -4*x = 20*p - 25*p + 13, 19 = 2*p + 3*x. Let 0 - 21/2*b**2 + 3/2*b**p + 3*b - 15/2*b**4 + 27/2*b**3 = 0. What is b?
0, 1, 2
Suppose -178 - 216*j - 11486 - 22*j**2 + 21*j**2 = 0. What is j?
-108
Let r(k) be the third derivative of -k**7/735 + k**6/210 + 2*k**5/21 - 11*k**4/14 + 15*k**3/7 - 1226*k**2. Let r(s) = 0. Calculate s.
-5, 1, 3
Let g(n) be the second derivative of n**4/4 + 21*n**3 + 120*n**2 + 2*n + 77. Factor g(u).
3*(u + 2)*(u + 40)
Let a(p) be the third derivative of p**6/30 - 20*p**5/3 - 203*p**4/6 - 68*p**3 + 1755*p**2. Factor a(w).
4*(w - 102)*(w + 1)**2
Let l be ((-23)/(-46))/(175/(-28)) + 112/25. Factor 4/5 + 18/5*x**2 + l*x.
2*(x + 1)*(9*x + 2)/5
Factor 0 - 1/2*k**3 + 9/2*k**2 - 10*k.
-k*(k - 5)*(k - 4)/2
Let k be 8/(432/2178) + (-3 - -2)*3. Suppose 32/3 - k*g + 4*g**3 + 104/3*g**2 - 12*g**4 = 0. Calculate g.
-2, 2/3, 1
Suppose 3*d - 2*j + 4 = 11, 3*j = -5*d - 1. Let g be ((16/18)/8)/((-2)/(-42)). Find a, given that -d + g*a**2 + 7/3*a - a**3 = 0.
-1, 1/3, 3
Factor 8*g**2 + 0 - 38/5*g - 2/5*g**3.
-2*g*(g - 19)*(g - 1)/5
Let c(o) be the third derivative of 0*o**3 + 0 + 0*o + 5*o**2 + 11/210*o**5 - 5/84*o**4. Factor c(n).
2*n*(11*n - 5)/7
Let x(q) be the second derivative of -q**7/840 + q**6/480 + 21*q**2 - q + 10. Let c(h) be the first derivative of x(h). What is m in c(m) = 0?
0, 1
Let y = 577 - 573. Suppose -y*f = 3*g - 25, -4*g - g = 3*f - 27. Determine n, given that 0 + 0*n**2 - 34/5*n**g + 0*n**4 + 2/5*n + 32/5*n**5 = 0.
-1, -1/4, 0, 1/4, 1
Let i(k) be the third derivative of -k**5/240 + 5*k**4/48 + 7*k**3/3 + 1294*k**2. Find n, given that i(n) = 0.
-4, 14
Let b(g) be the first derivative of -2/3*g**3 + 97 - 36*g - 19*g**2. Solve b(l) = 0 for l.
-18, -1
Let p(q) be the third derivative of -q**7/840 - q**6/120 - 7*q**4/4 + 14*q**2 - 4. Let i(x) be the second derivative of p(x). What is u in i(u) = 0?
-2, 0
Let x(g) = -2*g**4 + 2030*g**3 - 2070*g**2 + 6*g + 6. Let j(q) = -7*q**4 + 8125*q**3 - 8279*q**2 + 23*q + 23. Let i(p) = 6*j(p) - 23*x(p). Solve i(k) = 0.
-516, 0, 1
Let u(r) be the third derivative of r**5/15 + 4*r**4/3 - 418*r**3/3 - 2*r**2 + 88. Factor u(t).
4*(t - 11)*(t + 19)
Let q(j) = 8*j**3 - 152*j**2 - 152*j + 332. Let i(c) = c**3 + c**2 + 2*c + 2. Let n(o) = 6*i(o) - q(o). Factor n(s).
-2*(s - 80)*(s - 1)*(s + 2)
Let m(y) be the second derivative of y**7/126 - y**6/45 - 4*y**5/15 + 8*y**4/9 + 4886*y. Determine t so that m(t) = 0.
-4, 0, 2, 4
Suppose -2*p = -1 - 9. Let g(l) = 12*l**2 + 28*l + 16. Let d(u) = 4*u**2 + 9*u + 5. Let w be 9/21 + 0 - (-345)/(-21). Let i(y) = p*g(y) + w*d(y). Factor i(j).
-4*j*(j + 1)
Let y(q) be the second derivative of -q**5/20 - 9*q**4/4 + 437*q**3/3 - 4247*q. Find v, given that y(v) = 0.
-46, 0, 19
Let t(n) be the first derivative of -19/210*n**5 + 31/2*n**2 - 26 - 2/21*n**3 + 1/4*n**4 + 0*n. Let c(w) be the second derivative of t(w). Solve c(b) = 0 for b.
2/19, 1
Let c(o) = -5*o**2 + 34*o + 75. Let s(l) = -48*l**2 + 304*l + 672. Let k(p) = 28*c(p) - 3*s(p). Factor k(n).
4*(n + 3)*(n + 7)
Let j(x) be the first derivative of -x**4/2 + 12*x**3 + 39*x**2 + 40*x - 1472. Suppose j(i) = 0. Calculate i.
-1, 20
Let m(g) = 116*g + 354. Let r be m(-3). Let q(h) be the third derivative of 0*h + 0 + 15*h**2 - 1/192*h**4 + 1/960*h**r + 1/480*h**5 - 1/48*h**3. Factor q(u).
(u - 1)*(u + 1)**2/8
Let q(j) be the second derivative of j**6/50 - 177*j**5/20 + 2601*j**4/20 - 7749*j**3/10 + 11583*j**2/5 + 2479*j. Determine g, given that q(g) = 0.
3, 286
Solve 1946880 + 5*p**4 + 46277*p**2 + 184311*p + 24485*p**2 - 4022*p**2 + 1100*p**3 + 502089*p = 0 for p.
-104, -6
Let u(r) be the first derivative of r**5/120 - r**4/18 - r**3/36 + r**2/3 + 73*r - 39. Let n(k) be the first derivative of u(k). Solve n(y) = 0.
-1, 1, 4
Let m(g) = 12*g**2 - 1. Let w(a) = 3*a**3 - 2724*a**2 - 5529*a - 2769. Let c(u) = 3*m(u) - w(u). Factor c(n).
-3*(n - 922)*(n + 1)**2
Let y be 2/(-29) + ((-144)/(-1056) - 12330/(-6380)). Determine g so that 2/13*g**y + 3528/13 - 168/13*g = 0.
42
Let d(z) = -16*z - 562. Let h be d(-36). Suppose -3*a - h = -4*r, -4*a + 0 = r + 6. Suppose 30*c**4 + 9/2*c**3 - 33*c**r + 3 - 9/2*c = 0. What is c?
-1, -2/5, 1/4, 1
Let m = -26/3137 - -6560/34507. Solve -18/11 + 4/11*o**2 - 24/11*o + 8/11*o**3 - m*o**4 = 0.
-1, 3
Let a(p) be the first derivative of -5*p**4/4 - 955*p**3 - 205920*p**2 - 408980*p - 1232. Factor a(y).
-5*(y + 1)*(y + 286)**2
Let g = -27 - -74. Suppose 5*s - g = -2. Suppose -9*t + 5*t + 7*t**3 + 16*t**2 - 6 - s*t - 4*t = 0. What is t?
-3, -2/7, 1
Let c(h) = 717 + 23*h - 69*h - 70. Let k be c(14). Factor -18*q**4 - 1/2*q - 24*q**k - 13/2*q**2 + 0.
-q*(q + 1)*(6*q + 1)**2/2
Let d = -1458 - -1456. Let z be (-1)/275*-5 + d/(-11). Determine b, given that -z*b**3 - 4/5 + 1/5*b + 4/5*b**2 = 0.
-1, 1, 4
Let v(b) = -8*b**3 + 82*b**2 + 830*b + 1661. Let i(c) = -26*c**3 + 244*c**2 + 2500*c + 4982. Let q(m) = -3*i(m) + 10*v(m). Factor q(p).
-2*(p - 52)*(p + 4)**2
Let t = 68308 + -68308. What is b in t - b**3 + 2*b**2 - 1/2*b**5 + 3/2*b - 2*b**4 = 0?
-3, -1, 0, 1
Let t be 41 - (7375/225 - -8). Determine s, given that -4 + t*s**3 - 22/9*s + 16/9*s**2 = 0.
-9, -1, 2
Let g = 5585 + -5585. Let k(y) be the third derivative of 1/3