e first derivative of -6*y**3 + 24*y + 3/5*y**5 - 6*y**2 + 3/4*y**4 - 148. Suppose q(p) = 0. What is p?
-2, 1, 2
Suppose 3*r - u - 4 = r, -3*u + 6 = 3*r. Suppose -4 = r*b - 5*z, 0 = 3*b + z + z - 13. Factor 39*j**2 + 26*j**3 + 12 + 36*j - 52*j**4 - 8*j**b + 55*j**4.
3*(j + 1)**2*(j + 2)**2
Let q(t) be the second derivative of -t**5/50 + 8*t**4/3 - 559*t**3/5 + 3042*t**2/5 + 204*t. Suppose q(g) = 0. Calculate g.
2, 39
Let m = -491 - -495. Let w be (-46)/10 - 3*25/(-15). Factor 2/5*c**5 + 0*c**m - 4/5*c**3 + 0*c**2 + 0 + w*c.
2*c*(c - 1)**2*(c + 1)**2/5
Let c(x) be the first derivative of 29 - 40/23*x + 16/23*x**2 + 6/23*x**3 - 2/115*x**5 - 2/23*x**4. Suppose c(u) = 0. What is u?
-5, -2, 1, 2
Let m(g) be the first derivative of g**6/36 + 23*g**5/48 - 5*g**4/8 - 25*g**3/3 - g**2/2 - 124. Let f(j) be the third derivative of m(j). Solve f(s) = 0.
-6, 1/4
Suppose 0 = 409*g - 414*g - 2640. Let j = g + 1586/3. Factor -4/3 - j*i + 4/3*i**2 + 2/3*i**3.
2*(i - 1)*(i + 1)*(i + 2)/3
Let q(c) = -36*c**3 - c**2 + 3*c + 2. Let o be q(-1). Factor a**4 - 3*a**3 + 12*a**2 + 37*a - 13*a**2 - o*a.
a*(a - 3)*(a - 1)*(a + 1)
Let k(m) = -429 + 134 + 21*m + 108. Let s be k(9). Factor -2/13*q - 4/13 + 2/13*q**s.
2*(q - 2)*(q + 1)/13
Let w be (-18)/84*(7 + 2555/(-360)). Let k(v) be the third derivative of 0*v - 5/12*v**3 + w*v**5 - 7*v**2 - 5/96*v**4 + 0. Let k(a) = 0. Calculate a.
-1, 2
Let k(x) be the first derivative of 52*x**5/5 - 5*x**4 - 136*x**3 + 104*x**2 + 544*x - 6504. Let k(q) = 0. Calculate q.
-34/13, -1, 2
Let x(t) = 4*t**3 - 68*t**2 - 28*t + 104. Let o(u) = -7*u**3 + 68*u**2 + 27*u - 104. Let b(f) = 3*o(f) + 4*x(f). Suppose b(l) = 0. What is l?
-13, -8/5, 1
Let o = 8 - 2. Let q(y) = -15*y**2 + 138*y - 129. Let w(c) = -2*c**2 + c. Let a(u) = o*w(u) - q(u). Let a(f) = 0. Calculate f.
1, 43
Let g(c) = -c**3 + 6*c**2 - 2*c + 12. Let l be g(6). Let n(q) be the third derivative of -5/6*q**3 + 35/12*q**4 - 49/12*q**5 + 0 + l*q - 6*q**2. Factor n(z).
-5*(7*z - 1)**2
Let p(t) be the third derivative of t**5/30 - 7*t**4/4 - 196*t**3/3 - 2*t**2 + 17. Determine r, given that p(r) = 0.
-7, 28
Solve 4/3*g**2 - 892/3 - 594*g = 0 for g.
-1/2, 446
Let h(q) = -195*q**4 - 3540*q**3 - 551*q**2 + 33*q. Let k(g) = -39*g**4 - 708*g**3 - 110*g**2 + 6*g. Let m(t) = 2*h(t) - 11*k(t). Factor m(y).
3*y**2*(y + 18)*(13*y + 2)
Let i(w) = 6*w**5 - 10*w**4 - w**3 - 4*w**2 + 2*w. Let l be (-3*(-48)/(-90))/(2/5). Let y(d) = d**5 - d**4 - d**2. Let r(h) = l*i(h) + 28*y(h). Factor r(j).
4*j*(j - 1)*(j + 1)**2*(j + 2)
Let q = -18403 - -110419/6. Let a(v) be the second derivative of -4/3*v**2 + 15*v + 0 + 1/30*v**6 + 11/60*v**5 + q*v**4 - 2/3*v**3. Let a(m) = 0. Calculate m.
-2, -2/3, 1
Let m(v) be the second derivative of -v**6/480 - 3*v**5/160 + v**4/8 + v**3/3 - 2*v**2 - 16*v. Let t(d) be the second derivative of m(d). Factor t(i).
-3*(i - 1)*(i + 4)/4
Let k = -2/50019 + -166468/6552489. Let v = 1199/786 + k. Determine m so that -1/2*m**4 - v*m**3 - m**2 + 0 + 0*m = 0.
-2, -1, 0
Let u(g) = -19*g - 51. Let r be u(19). Let w = -409 - r. Find x such that 1/2*x**w + 0 + 2*x**2 + 2*x = 0.
-2, 0
Let n(q) = 2*q**2 + 2*q + 2. Let g(h) = 44*h + 225. Let i be g(-5). Let c(u) = 15*u**2 - 150*u + 1290. Let r(d) = i*n(d) - c(d). Determine z so that r(z) = 0.
16
Let t(a) be the second derivative of 1/90*a**5 + 1/4*a**3 + 5*a**2 + 0 + 1/12*a**4 + 9*a. Let f(w) be the first derivative of t(w). Factor f(n).
(2*n + 3)**2/6
Let g(r) be the second derivative of 0 + 1/20*r**4 - 9*r**2 + 7/10*r**3 - 44*r. Factor g(q).
3*(q - 3)*(q + 10)/5
Let j(t) be the first derivative of t**6/6 - 3*t**5/5 - t**4/4 + 11*t**3/3 - 6*t**2 + 4*t - 1559. Factor j(l).
(l - 2)*(l - 1)**3*(l + 2)
Let f = 1862027/25 - 74481. Let -f*t**3 + 0 - 2/25*t**5 + 6/25*t**4 + 4/25*t - 6/25*t**2 = 0. What is t?
-1, 0, 1, 2
Let i(r) be the first derivative of -r**3/3 + 2599*r**2 - 6754801*r - 1839. Factor i(f).
-(f - 2599)**2
Let f be (-42)/9*60/(-70). What is g in 58*g + 35*g - 24 + 20*g**2 - 4*g**5 - 25*g + 16*g**f - 76*g**2 = 0?
-2, 1, 3
Let q(v) = -65*v**3 - 35*v**2 + 150*v + 10. Let k(u) = -23*u**3 - 12*u**2 + 50*u + 3. Let b be -17 + 21/6*2. Let h(l) = b*k(l) + 3*q(l). Factor h(t).
5*t*(t - 1)*(7*t + 10)
Let z(b) be the second derivative of b**6/15 + 9*b**5/10 + 23*b**4/6 + 5*b**3 - 595*b + 3. Solve z(q) = 0.
-5, -3, -1, 0
Factor 0 + 27/8*x**2 - 3/8*x**3 + 429/4*x.
-3*x*(x - 22)*(x + 13)/8
What is x in -6/5*x**5 - 60 - 8224/15*x**2 + 100/3*x**4 - 382*x - 2876/15*x**3 = 0?
-1, -2/9, 15
Suppose 3*v = -21 - 0. Let t be -2 - 33/v - 4/(-14). What is p in 3*p**t + 3*p**2 - 4*p**3 - 6*p**3 - 5*p**3 = 0?
0, 1/4
Let d(z) = 1685*z - 55605. Let v be d(33). Let r**2 + 3*r + v + 0*r**4 + 1/4*r**5 - 9/4*r**3 = 0. What is r?
-3, -1, 0, 2
Let d(f) be the first derivative of -f**4/28 - f**3/3 + 20*f**2/7 - 44*f/7 + 785. Solve d(k) = 0.
-11, 2
Let z(y) be the first derivative of -78*y + y**3 - 30*y**2 + 114*y - 168*y + 259. Factor z(g).
3*(g - 22)*(g + 2)
Let w(r) be the second derivative of r**7/252 + 7*r**6/18 - 3*r**5/5 - 35*r**4/36 + 71*r**3/36 + 9864*r - 1. Let w(n) = 0. Calculate n.
-71, -1, 0, 1
Let v(d) be the first derivative of 5*d**6/24 + 23*d**5/60 - 13*d**4/6 + 2*d**3/3 - d**2 - d + 143. Let u(c) be the second derivative of v(c). Factor u(t).
(t - 1)*(t + 2)*(25*t - 2)
Let u(i) be the first derivative of -77 - 1/12*i**6 + 0*i + 1/8*i**4 + 0*i**2 + 1/10*i**5 - 1/6*i**3. Suppose u(q) = 0. What is q?
-1, 0, 1
Let x be (0 - 1)*(-20 - -20)/(-26). Let p(w) be the second derivative of x*w**2 + 1/51*w**3 + 0 - 1/34*w**4 - 24*w. Factor p(f).
-2*f*(3*f - 1)/17
Let h be 1711/116 - -19 - 30. Let 0 - 9/4*j + 3/2*j**3 - h*j**2 = 0. What is j?
-1/2, 0, 3
Let k(c) = c**3 + 68*c**2 + 227*c - 272. Let w(j) = -j**3 - 134*j**2 - 449*j + 544. Let q(i) = 5*k(i) + 3*w(i). Let q(s) = 0. Calculate s.
-4, 1, 34
Let w(t) be the third derivative of 11/3*t**3 + 0 + 1/330*t**5 + 0*t + 1/6*t**4 - 108*t**2. Factor w(p).
2*(p + 11)**2/11
Let g(w) be the third derivative of w**5/5 - 31*w**4/24 + 29*w**3/6 + 2*w**2 - 23*w. Let k(h) = 7*h**2 - 16*h + 15. Let x(o) = 3*g(o) - 5*k(o). Factor x(f).
(f - 12)*(f - 1)
Let v(k) be the second derivative of -k**8/10080 - k**7/1260 - 17*k**4/12 - 93*k + 1. Let f(m) be the third derivative of v(m). Factor f(o).
-2*o**2*(o + 3)/3
Let g = 679/1595 - -2050781/1595. Let p = g + -1284. Find y, given that -p*y - 30/11*y**4 + 38/11*y**2 - 8/11 + 16/11*y**3 + 8/11*y**5 = 0.
-1, -1/4, 1, 2
Let c be 5*6/(-15) + 228/3. Suppose 302*p**3 - 12*p**4 - c*p + 0 + 3 + 9 - 228*p**3 + 0 = 0. Calculate p.
-1, 1/6, 1, 6
Let a(x) = -20*x**3 + 592*x**2 + 1692*x + 1128. Let c(i) = 3*i**3 - 2*i**2 + i. Let v(y) = -a(y) - 8*c(y). Find z, given that v(z) = 0.
-141, -2, -1
Let q be 1189*(-65)/(-18850) - (-5)/(-2). Find z, given that q + 2/5*z**2 + 2*z = 0.
-4, -1
Factor -1480 + 127*j**2 + 4*j**3 - 10*j**3 - 1284 + 655*j**2 + 3276 - 1796*j.
-2*(j - 128)*(j - 2)*(3*j - 1)
Let f(d) = -d**2 + 2*d - 11. Let r(m) = 6*m**2 - 2516*m - 1564924. Let y(o) = -35*f(o) - 5*r(o). Determine h, given that y(h) = 0.
-1251
Let r(a) be the third derivative of 46*a**2 - 1/15*a**5 + 0*a + 0 + 14/3*a**3 - a**4. Suppose r(o) = 0. Calculate o.
-7, 1
Suppose 3*u = 2*n + 2*n + 110, n = 4. Suppose 4*w - u = 50. Let -w*s**4 + 33*s**4 - 2*s**2 + 20*s**3 + 4*s**3 - 8 - 24*s = 0. Calculate s.
-2, -1, -2/5, 1
Let x(t) be the first derivative of -3*t**8/112 - 4*t**7/35 - 7*t**6/40 - t**5/10 + 33*t**2/2 + 61. Let f(i) be the second derivative of x(i). Factor f(j).
-3*j**2*(j + 1)**2*(3*j + 2)
Factor -214/3 - 143/2*j - 1/6*j**2.
-(j + 1)*(j + 428)/6
Factor 608/3*n + 604/3 + 4/3*n**2.
4*(n + 1)*(n + 151)/3
Solve 15*n**2 - 256 - 96*n - 1/2*n**3 = 0.
-2, 16
Let d be ((-35)/21 + (-1 - -2))/(638/(-3828)). Let -10*i**3 + 0 - 4/5*i**d - 72/5*i - 168/5*i**2 = 0. What is i?
-6, -1/2, 0
Determine b, given that 2/13*b**2 + 2/13*b - 40/13 = 0.
-5, 4
Let t be (-14 + 13)/(3/(-1))*(-594)/(-99). What is a in 2/9*a**t + 512/9 - 64/9*a = 0?
16
Let p(j) be the second derivative of -9*j**5/80 + 4*j**4 - 128*j**3/3 + 1764*j. Factor p(a).
-a*(3*a - 32)**2/4
Let m = 11000903/27110811 + -20/22917. Let i = m + 4/169. Solve 3/7*q**2 + 0*q + 0 + i*q**3 = 0 for q.
-1, 0
Find v, given that v - 4016*v**2 - 27*v + 181*v + 4011*v**2 