c) be the first derivative of c**5/15 + 191*c**4/12 + 433*c**3/3 + 2029*c**2/6 + 920*c/3 + 1525. Factor i(y).
(y + 1)**2*(y + 5)*(y + 184)/3
Let q(r) be the first derivative of -7*r**4/4 + 269*r**3/3 - 8556*r**2/7 - 19044*r/7 - 2423. Determine t so that q(t) = 0.
-1, 138/7
Let k(p) = 3*p**2 - 4*p - 2. Let g be k(4). Suppose g*i - 20 - 40 = 0. Factor 9/4*w**3 + 3/4*w - 15/4*w**i + 3/4.
3*(w - 1)**2*(3*w + 1)/4
Let z = -35425 + 35425. Let g(r) be the second derivative of -23*r + 1/6*r**3 - 3*r**2 + z + 1/12*r**4. Determine x so that g(x) = 0.
-3, 2
Let n = 41832 + -167289/4. Suppose 0*k + 0 + 9/2*k**5 + 3/4*k**2 + n*k**4 + 6*k**3 = 0. Calculate k.
-1, -1/6, 0
Let i(n) be the first derivative of -n**6/57 + 524*n**5/95 + n**4/38 - 524*n**3/57 - 6453. Solve i(y) = 0 for y.
-1, 0, 1, 262
Let s(g) be the first derivative of g**6/24 + 17*g**5/20 + 21*g**4/4 - 108*g**2 - 324*g - 448. Factor s(r).
(r - 3)*(r + 2)*(r + 6)**3/4
Let q = 74 + -72. Factor l**3 - 5*l**2 + 7*l + 5*l**q + 1 + 2 + 5*l**2.
(l + 1)**2*(l + 3)
Let j(s) = 2*s**3 + s**2 - s + 1. Let f be j(1). Let a be -1 + -4 + (9 - 2). Suppose -14*v**2 - 17*v**a - 13*v - f*v + 35*v**2 + 12 = 0. What is v?
1, 3
Find p, given that -46*p + 25*p**2 - p**4 + 32*p**3 - 158*p - 13*p**2 + 34*p**2 - p**4 = 0.
-3, 0, 2, 17
Let p = -3160 - -3160. Let m(z) be the first derivative of 5/3*z**3 + p*z - 5/4*z**4 + z**2 - z**5 + 1/2*z**6 + 7. Let m(t) = 0. Calculate t.
-1, -1/3, 0, 1, 2
Let k = -1 + 6. Suppose 2*c + 20 = 2*s, -44*c + 48*c + 10 = -2*s. Factor -7*p - s*p**3 - 2*p + 10*p**2 + k*p**2 - p.
-5*p*(p - 2)*(p - 1)
Let b = 2504 - 2502. Let k(d) be the second derivative of 2/15*d**6 - 3/5*d**5 - 14*d + 13/12*d**4 + 0 - d**3 + 1/2*d**b. Factor k(c).
(c - 1)**2*(2*c - 1)**2
Let k(p) = -12*p**2 - 2568*p - 1011. Let h(i) = -25*i**2 - 5142*i - 2029. Let q(s) = 3*h(s) - 5*k(s). Determine u, given that q(u) = 0.
-172, -2/5
Let t(i) be the first derivative of 159 + 10/27*i**3 - 1/45*i**5 + 1/36*i**4 - 8/3*i - 2/9*i**2. Factor t(w).
-(w - 3)*(w - 2)*(w + 2)**2/9
Let y(c) be the second derivative of -c**6/30 + 31*c**5/20 + 33*c**4/4 + 101*c**3/6 + 17*c**2 + 1529*c. Determine j so that y(j) = 0.
-1, 34
Let o(j) = -848 + 155*j - 192 + 25 - 105. Let a(t) = t**2 + 156*t - 1119. Let w(g) = 5*a(g) - 6*o(g). Factor w(k).
5*(k - 15)**2
Let b = 4909 - 4902. Let y(x) be the second derivative of 0*x**2 + 0 + 1/15*x**5 - 2/45*x**6 - 2/63*x**b + 0*x**3 + 25*x + 1/9*x**4. Factor y(j).
-4*j**2*(j - 1)*(j + 1)**2/3
Let p be (17 + (-3798)/225)*(-5)/(-18). Let d(m) be the third derivative of -8/3*m**3 + 0 - 14*m**2 + 2/3*m**4 - p*m**6 + 0*m + 1/15*m**5. Factor d(i).
-4*(i - 2)*(i - 1)*(i + 2)
Let x = 306621 + -2763788/9. Let m = x - -467. Factor 2/9*t**3 - m - 2/9*t + 4/9*t**2.
2*(t - 1)*(t + 1)*(t + 2)/9
Let -2/7*r**2 - 856/7 - 432/7*r = 0. Calculate r.
-214, -2
Factor -339 - 1130 - 1280*x + 4*x**3 + 68*x**2 + 125.
4*(x - 12)*(x + 1)*(x + 28)
Let k(l) be the second derivative of -43/15*l**3 + 2 - 1849/10*l**2 - 1/60*l**4 - 2*l. Suppose k(q) = 0. Calculate q.
-43
Let j(o) be the first derivative of o**4/12 + 607*o**3/3 + 368449*o**2/2 + 223648543*o/3 - 3145. Let j(l) = 0. What is l?
-607
Suppose -2*i + 2*k + 12 = 0, 0 = -3*i + k - 1 + 13. Factor -20*t - 2*t + 6*t + 16 + 0 - 12*t**2 + 4*t**4 + 8*t**i.
4*(t - 1)**2*(t + 2)**2
Suppose 9402/5*c**2 - 216/5 + 318/5*c**5 + 8594/5*c**3 - 3586/5*c**4 - 3312/5*c = 0. Calculate c.
-1, -3/53, 1/3, 6
Let g(a) be the first derivative of -2*a**5 + 0*a**2 - 117/8*a**4 - 1/12*a**6 - 27*a**3 + 0*a + 71. Determine c so that g(c) = 0.
-9, -2, 0
Factor 398/15*c**2 + 2/5*c**4 + 1196/15*c**3 + 0 + 0*c.
2*c**2*(c + 199)*(3*c + 1)/15
Solve 24/11*b**2 - 2/11*b**3 - 70/11*b + 48/11 = 0.
1, 3, 8
Find h, given that -30*h**3 - 4355*h**4 - 6*h**5 + 4478*h**4 - 4*h**5 - 2*h**5 = 0.
0, 1/4, 10
Let y = 74 + -46. Suppose h + y = 8*h. Suppose 7*x + 0*x + 2*x**3 - 7*x - 2*x**h = 0. What is x?
0, 1
Let a(w) = -10*w + 32. Let d be a(3). Factor -77*c**2 + 2*c + 155*c**2 - 76*c**d.
2*c*(c + 1)
Let v(w) be the second derivative of -w**6/30 + 11*w**5/20 - 9*w**4/4 - 11*w**3/6 + 14*w**2 - w + 1148. Suppose v(l) = 0. Calculate l.
-1, 1, 4, 7
Solve 0 - 52*t**3 + 0*t + 0*t**2 + 1/3*t**4 = 0.
0, 156
Let l(u) be the second derivative of 48/7*u**3 + 0*u**2 + 1/147*u**7 + 16/7*u**4 + 0 - 4/35*u**5 - 8/105*u**6 - 125*u. Factor l(n).
2*n*(n - 6)**2*(n + 2)**2/7
Suppose 397*s = 1817 + 1375 + 381. Suppose -33*g + 37*g - 12 = 0. Let g*n - s - 1/4*n**2 = 0. Calculate n.
6
Let s(m) be the third derivative of m**7/280 - m**6/80 - 11*m**5/80 + 3*m**4/8 - 19*m**2 + 4*m. Factor s(l).
3*l*(l - 4)*(l - 1)*(l + 3)/4
Let w be (-15)/(-6) + (-3)/6*3. Suppose w + 15 = 8*y. Let -5/6*h + 1 + 1/6*h**y = 0. Calculate h.
2, 3
Solve 631*u - 2488 - 5*u**3 - 938 + 410*u**2 - 1600 - 74 - 5316*u = 0.
-1, 15, 68
Let o(x) be the first derivative of 3*x**4/32 - 19*x**3/4 - 66*x**2 - 276*x - 111. Factor o(c).
3*(c - 46)*(c + 4)**2/8
Let 48/5 - 3/10*u**3 - 46/5*u - 38/5*u**2 = 0. Calculate u.
-24, -2, 2/3
Let k = -294 - -315. Suppose -40 - 10*c**2 + 28*c - 10*c**2 - 5*c**2 + k*c**2 = 0. What is c?
2, 5
Let g = 812 + -809. Determine q so that -2*q**5 - 19*q**3 - 32*q**4 + 5*q**g - 2*q**5 + 14*q**3 = 0.
-8, 0
Let l be 3500/45 - 2/(-9). Suppose 6*r**3 + 75*r**2 - 3*r**4 + 674 - 674 - l*r**3 = 0. What is r?
-25, 0, 1
Let c(l) be the first derivative of l**3/9 - 8*l**2 + 512*l/3 + 2481. Factor c(j).
(j - 32)*(j - 16)/3
Let q(v) be the third derivative of -31/12*v**4 + 961/3*v**3 + 0 + 3*v + 1/120*v**5 + 15*v**2. Factor q(z).
(z - 62)**2/2
Determine o so that -4/3 - 658/3*o**2 + 202/3*o = 0.
1/47, 2/7
Let u be (-1)/7 - (-6188)/10388. Let p = u + -91/318. What is i in p*i**2 - i**4 + 0 - 5/6*i**3 + 0*i = 0?
-1, 0, 1/6
Factor 0*s + 2/7*s**4 + 18/7*s**2 + 0 + 20/7*s**3.
2*s**2*(s + 1)*(s + 9)/7
Let z(u) be the second derivative of -u**9/7056 + u**7/980 - u**5/280 - 67*u**3/6 - u**2 - 4*u + 1. Let t(y) be the second derivative of z(y). Factor t(a).
-3*a*(a - 1)**2*(a + 1)**2/7
Let d(n) be the second derivative of -n**7/315 - 133*n**6/225 - 2372*n**5/75 - 10754*n**4/45 - 6656*n**3/9 - 16384*n**2/15 + 748*n. What is i in d(i) = 0?
-64, -2, -1
Let t(y) be the second derivative of -4/3*y**3 - 26 + 32*y**2 + 1/48*y**4 - 2*y. Factor t(x).
(x - 16)**2/4
Let w be (2/(-5))/((195/(-52))/15). Let l = -8235 - -41199/5. Suppose l*j**2 - 12/5*j**4 - 12/5 - 4/5*j**5 - 4/5*j + w*j**3 = 0. What is j?
-3, -1, 1
Let c(z) be the first derivative of -5*z**4/9 + 358*z**3/27 - 88*z**2 - 18*z + 2369. Factor c(m).
-2*(m - 9)**2*(10*m + 1)/9
Suppose 862*u = 894*u. Let d(t) be the second derivative of 17*t - 1/102*t**4 + 0 - 2/51*t**3 + u*t**2. Suppose d(y) = 0. Calculate y.
-2, 0
Suppose -143*u + 408 = -285 + 288 - 453. Let q = 41 - 26. Find f such that -3/5*f**2 - q - u*f = 0.
-5
Let m be (-3082)/(-276)*86/(-1). Let d = m + 963. What is b in 2/3*b + d + 1/3*b**3 - 5/3*b**2 = 0?
-1, 2, 4
Let l be (-3)/((-33)/55) - 5. Suppose -1 = 2*g - 3*v, l = 5*g + 4*v - 7*v - 11. Determine i, given that 0*i**2 + 0*i - 2/5*i**5 - 2/5*i**3 - 4/5*i**g + 0 = 0.
-1, 0
Factor 0 + 0*l + 114/7*l**3 - 36*l**2 + 6/7*l**4.
6*l**2*(l - 2)*(l + 21)/7
Let o(p) = -2*p**3 + 4*p**2 + p. Suppose 0 = -4*n + 25 - 17. Let s be o(n). What is m in -8/5*m - 4/5 - 4/5*m**s = 0?
-1
Let n be -2*(-4)/28 + (816/(-224))/(-17). Let 0 - c**4 + c**2 - 1/2*c**5 + n*c + 0*c**3 = 0. Calculate c.
-1, 0, 1
Suppose -u + 2*u + 4*d = 19, 0 = 3*u + 4*d - 25. Solve 20*g + 3*g**3 + g**3 - 24*g - 2*g**2 + u + 12*g**4 - 5*g**4 - 8*g**4 = 0.
-1, 1, 3
Let t(s) be the second derivative of -s**5/70 - s**4/7 + s**3/21 + 30*s**2/7 + 947*s. Factor t(p).
-2*(p - 2)*(p + 3)*(p + 5)/7
Let l(u) be the second derivative of u**8/8400 + 11*u**7/4200 + u**6/45 + 2*u**5/25 + 5*u**3 - 66*u. Let z(h) be the second derivative of l(h). Factor z(m).
m*(m + 3)*(m + 4)**2/5
Let y(m) be the second derivative of 25/2*m**2 + 28 + m - 65/24*m**4 - 1/4*m**5 - 65/12*m**3. Let y(k) = 0. Calculate k.
-5, -2, 1/2
Solve -844/5*f + 0 - 2/5*f**2 = 0 for f.
-422, 0
Let f be 4/(-2)*((-30)/12)/1. Find n such that -2*n**5 + 3*n**f + 5*n**3 - 6*n**3 + 0*n**3 = 0.
-1, 0, 1
Let j(b) = -7*b**2 - 20*b - 18. Let p(t) be the first derivative of 5*t**3 + 20*t**2 + 35*t - 5. Let g(z) = 5*j(z) + 2*p(z). Fi