z**3 - 23/7*z**4 - 17/7*z**2.
(z - 2)*(z - 1)**3*(5*z + 2)/7
Let b(z) be the first derivative of -z**5/5 + 25*z**4/4 - 41*z**3 + 171*z**2/2 + 1046. Let b(u) = 0. What is u?
0, 3, 19
Suppose 0 = -21*j + 254 + 61. Let z = -12 + j. Factor 0*v + 0 - 1/2*v**2 - 1/4*v**z.
-v**2*(v + 2)/4
Suppose 31*i = -239 + 1417. Factor 224 + 228 - 452 + 2*o**3 + i*o**2 + 36*o.
2*o*(o + 1)*(o + 18)
Let y(x) be the third derivative of -x**6/240 - x**5/5 + 57*x**4/16 - 45*x**3/2 - 56*x**2. Determine l, given that y(l) = 0.
-30, 3
Let i = -62248208/315 - -197616. Let c = i + 10/63. Factor -8/5 + c*x**3 + 8*x - 46/5*x**2.
2*(x - 2)*(x - 1)*(7*x - 2)/5
Let m be (138/80)/(68/544) - (15 - 3). Factor 2*o**2 - m*o - 1/5.
(o - 1)*(10*o + 1)/5
Let r be 8/(-3) + 1 + 847/231. What is a in 10/11*a + 12/11 + 2/11*a**r = 0?
-3, -2
What is m in -2*m**4 - 2700*m + 2*m**4 - 190*m**3 + 2*m**4 - 7*m**4 + 40269*m**2 - 42234*m**2 + 4860 = 0?
-18, -3, 1
Let j(b) be the first derivative of b**6/450 - b**4/30 - 4*b**3/3 - 15. Let m(g) be the third derivative of j(g). Factor m(f).
4*(f - 1)*(f + 1)/5
Let q(h) be the second derivative of -10/3*h**2 + 5/9*h**4 + 0 + 208*h - 1/60*h**5 + 1/18*h**3. Factor q(v).
-(v - 20)*(v - 1)*(v + 1)/3
Let b(s) be the third derivative of -s**8/1344 + s**7/140 - s**6/60 - s**5/40 + 3*s**4/32 + 94*s**2 - 3*s. Let b(u) = 0. What is u?
-1, 0, 1, 3
Solve 190*a**2 - 1761*a + 5*a**5 + 57*a**4 + 1696*a - 7*a**4 - 180*a**3 = 0 for a.
-13, 0, 1
Let g(v) be the first derivative of v**6/2 - 96*v**5/5 + 327*v**4/2 + 680*v**3 - 2601*v**2/2 + 1317. Find j, given that g(j) = 0.
-3, 0, 1, 17
Let v = 223527/4 - 55878. Find g such that 3/4*g**5 - 3/2*g**2 + 0 + 0*g - 3*g**4 + v*g**3 = 0.
0, 1, 2
Let l = -21/302 + 3817/604. Find u, given that -l*u**2 - 3/2 + 31/4*u = 0.
6/25, 1
Let v(g) = -g**3 - 9*g**2 - g - 1. Let s(f) = 4*f**3 + 19*f**2 + 24*f - 15. Let w(p) = -s(p) - 3*v(p). Suppose w(t) = 0. Calculate t.
2, 3
Factor -2/3*i**2 - 2324/3*i + 0.
-2*i*(i + 1162)/3
Factor 1992 + 3437 + 6100*g**2 + 5*g**3 - 960 + 12185*g + 1621.
5*(g + 1)**2*(g + 1218)
Let y(b) be the first derivative of 31*b - 1/16*b**4 - 31 - 1/2*b**3 - 9/8*b**2. Let w(v) be the first derivative of y(v). Factor w(g).
-3*(g + 1)*(g + 3)/4
Let y be 0 + 5 - (-135)/(-729)*27. Let m(p) be the second derivative of -1/10*p**5 + 1/3*p**3 + y - 5/12*p**4 + 3/4*p**2 + 7/60*p**6 + 23*p. Factor m(d).
(d - 1)**2*(d + 1)*(7*d + 3)/2
Let y = 17010 - 17006. Let l(v) be the second derivative of -5/42*v**3 + 1/28*v**5 - 1/7*v**2 + 1/42*v**y + 0 + 7*v. Factor l(a).
(a - 1)*(a + 1)*(5*a + 2)/7
Let y(o) be the second derivative of 19*o**5/4 + 185*o**4/6 - 20*o**3/3 + 2647*o. Factor y(l).
5*l*(l + 4)*(19*l - 2)
Let h = -92/35 + 671/455. Let q = 118/91 + h. Determine o so that 1/7*o**2 - 1/7*o + 0 + 1/7*o**3 - q*o**4 = 0.
-1, 0, 1
Let z(d) = d**2 + 13*d + 24. Let r be z(-11). Let s = -3277 + 3278. What is k in -9/4*k**r - 7/2*k + 27/8*k**4 + 27/8*k**3 - s = 0?
-2/3, 1
Solve -43 - 1/3*w**2 - 130/3*w = 0 for w.
-129, -1
Suppose 0 = 2*h + h + 5*s, 5*h - 4*s - 37 = 0. Suppose 3*y + 2 = h. Factor -y - q**2 + 2*q**2 + 2*q + 2 + 0*q.
(q + 1)**2
Let v = -335 - -337. Let r = -2 - -6. Solve -32*q**3 + 48*q**2 + 2*q**4 + 10*q**4 - r - 24*q**v + 0 = 0.
-1/3, 1
Let t = -74 + 77. Suppose -t*a + 34 = -2*a. Factor 20*j**2 + 17*j**2 + 8*j + 4 - a*j**2.
(j + 2)*(3*j + 2)
Let k = 228/1505 - -23396/4515. Determine j, given that -k*j**4 - 40/3*j**2 + 14*j**3 + 0 + 13/3*j + 1/3*j**5 = 0.
0, 1, 13
Let a(j) = j**3. Let i(o) = o**2 + 11*o + 22. Let p be i(-9). Let u(n) = n**3 + 45*n**2 - 540. Let r(s) = p*a(s) + u(s). Suppose r(t) = 0. What is t?
-6, 3
Let c be 1/(-4) - (252/(-16))/3. Let j be 2*(-3)/(-15) + 13/c. What is w in 0 + 7 - 10 - 3*w**4 + 6*w**3 - 3*w - j*w**5 + 6*w**2 = 0?
-1, 1
Suppose 0 = 2*f + w - 4612, -f + 28*w + 2296 = 31*w. Let s = f - 2306. Suppose -5/3*o**3 - 1/3*o**4 - 2*o**s + 0*o + 0 = 0. What is o?
-3, -2, 0
Suppose -2*r + 20 = 2*n, 50*n - 46*n + 23 = 5*r. Let c(s) be the first derivative of 7 + 2/9*s + 2/27*s**n - 2/9*s**2. Find d, given that c(d) = 0.
1
Let k(b) be the first derivative of -b**5/5 - 61*b**4/2 - 121*b**3/3 + 12526. Factor k(g).
-g**2*(g + 1)*(g + 121)
Let m(i) = 21*i**2 - 483*i + 20. Let k(j) = 4*j**2 - 2*j + 4. Let q(h) = 10*k(h) - 2*m(h). What is s in q(s) = 0?
0, 473
Let o = -338 + 693. Let r = o - 353. Factor -3/2*z**r + 1/4*z**3 + 1/4*z**4 + 2 - z.
(z - 2)*(z - 1)*(z + 2)**2/4
Let g = 189216 - 378429/2. Factor -15*o - g - 75/2*o**2.
-3*(5*o + 1)**2/2
Let f(v) = 3*v**3 - 100*v**2 - 85*v + 186. Let b(x) = -20*x**3 + 600*x**2 + 510*x - 1115. Let o(p) = 4*b(p) + 25*f(p). Factor o(a).
-5*(a - 1)*(a + 2)*(a + 19)
Let j = -973 + 975. Let k(t) be the second derivative of 0*t**j + 0*t**3 + 0 + 1/2*t**5 + 1/6*t**6 + 5/12*t**4 - 15*t. Find z, given that k(z) = 0.
-1, 0
Let v(a) be the second derivative of a**6/1620 + a**5/108 + a**4/18 - 28*a**3/3 - a**2 - 55*a. Let i(w) be the second derivative of v(w). Factor i(f).
2*(f + 2)*(f + 3)/9
Let c = -31/9000 - -1831/9000. Factor c*h**3 + 6/5*h - 16/5 + 9/5*h**2.
(h - 1)*(h + 2)*(h + 8)/5
Let -15/4 - 1/4*m**4 - 7/2*m**3 + 4*m**2 + 7/2*m = 0. What is m?
-15, -1, 1
Let y(t) be the second derivative of 54*t**7/7 + 3162*t**6/5 - 11921*t**5/5 + 9533*t**4/3 - 5360*t**3/3 + 488*t**2 + 1001*t. Find h such that y(h) = 0.
-61, 2/9, 1
Let w be (-18)/(-4) - 12/24. Factor 32*z**w - 20*z**3 - 25*z - 28*z**4 + 31*z + 30*z + 12*z**2.
4*z*(z - 3)**2*(z + 1)
Let m be (-39)/(-6)*444/3848. Find r, given that -m*r + 1/4*r**2 - 5/2 = 0.
-2, 5
Let h be ((-4)/(-30)*22/352)/((-6)/(-9)). Let d(n) be the second derivative of 0 + 1/2*n**2 - h*n**5 + 1/8*n**4 - 3/8*n**3 + 19*n. Factor d(g).
-(g - 4)*(g - 1)**2/4
Let f(i) = -13*i**2 - 995*i - 110439. Let m(y) = -7*y**2 - 500*y - 55219. Let d(x) = -6*f(x) + 11*m(x). Factor d(z).
(z + 235)**2
Let g(v) be the second derivative of -9*v**5/40 + 5*v**4/2 + 9*v**3 - 24*v**2 + 728*v. Factor g(o).
-3*(o - 8)*(o + 2)*(3*o - 2)/2
Let f be 2/(-4) - ((-279)/(-6) - 7). Let a be 12/f*2*-30. Factor 8*o**4 + 4*o**2 + 40*o**2 + a - 6*o**4 + 16*o**3 + 48*o.
2*(o + 1)**2*(o + 3)**2
Let n(m) be the third derivative of -3*m**6/140 - 31*m**5/42 - 17*m**4/42 - 313*m**2 + 2. Find f, given that n(f) = 0.
-17, -2/9, 0
Let h(k) be the first derivative of 66*k**2 + 5*k**3 + 89 + 36*k - 21/4*k**4. Determine t, given that h(t) = 0.
-2, -2/7, 3
Let d be -22 + 35 + 3/((-75)/235). Let o(n) be the first derivative of -d*n + 1/5*n**3 + 12 + 3/10*n**2. Let o(l) = 0. Calculate l.
-3, 2
Let u(k) = 2*k**5 + 2*k**4 + 11*k**3 - 15*k**2 + 15*k. Let d(m) = -m**5 - 2*m**4 - 5*m**3 + 8*m**2 - 6*m. Let c(f) = 5*d(f) + 2*u(f). Factor c(g).
-g**2*(g - 1)*(g + 2)*(g + 5)
Let y be (-2)/(-4) - 72/(-48). Suppose -24*z**y - 10*z - 5*z**5 - 25*z**4 - 50*z**3 + 5*z**3 - 11*z**2 = 0. Calculate z.
-2, -1, 0
Suppose 509*g + 1489*g + 553*g - 11058 = -1135*g. Find c, given that -1/6*c**g - 3/2*c - c**2 + 0 = 0.
-3, 0
Let v = -3177 - -3173. Let o(x) = -2*x + 6 + 14 + x**2 - 3*x. Let z(u) = -u**2 + 6*u - 21. Let b(s) = v*o(s) - 5*z(s). Let b(k) = 0. What is k?
5
Let q(v) = -8*v**2 + 14*v + 72. Let l(u) = 15*u**2 - 27*u - 147. Let n(c) = -6*l(c) - 11*q(c). Factor n(b).
-2*(b - 9)*(b + 5)
Let j(h) be the second derivative of h**7/42 + 4*h**6/15 + 9*h**5/10 - 9*h**3/2 + 2*h + 57. Suppose j(q) = 0. What is q?
-3, 0, 1
Let i = -4 + 7. Let z be 9/6 - 183/(-122). Factor -3*a**z - 160*a**2 + i*a + 160*a**2.
-3*a*(a - 1)*(a + 1)
Let k = -1367 + 1603. Let n = k - 233. Factor -4/7*i**2 - 2/7*i**n + 0 - 2/7*i.
-2*i*(i + 1)**2/7
Let i(l) be the third derivative of l**5/270 + 26*l**4/27 + 101*l**3/9 - 144*l**2 + 1. Factor i(f).
2*(f + 3)*(f + 101)/9
Let l(f) = 5*f - 1. Let t be l(2). Suppose 0 = -0*q - t*q + 45. Factor g**2 - 4 + 21*g - 7*g**2 - 9*g**2 + 3*g**3 - q.
3*(g - 3)*(g - 1)**2
Suppose -242*l**2 - 2/3*l**5 + 0*l + 0 - 110/3*l**3 + 38/3*l**4 = 0. Calculate l.
-3, 0, 11
Let v(k) be the third derivative of -2/21*k**4 - 194*k**2 + 2/7*k**3 - 1/140*k**5 + 0*k + 0. Factor v(f).
-(f + 6)*(3*f - 2)/7
Let c = 1975 - 1981. Let n be 2 + (-94)/c - (47 + -46). Factor 112/3*o + 8 + 110/3*o**2 - n*o**3.
-2*(o - 3)*(5*o + 2)**2/3
Let t be ((-493920)/(-1404))/40*48. Determine d, given that -2/13*d**5 - 12152/13*d - 1346/13*d**3 + 88/13*d