(y - 2)*(y + 2)/5
Let y(h) be the first derivative of -h**5 + 75*h**4/4 - 380*h**3/3 + 390*h**2 - 560*h + 731. Factor y(t).
-5*(t - 7)*(t - 4)*(t - 2)**2
Suppose 0 = 3*r + 2*n - 16, -25*n + 5 = -24*n. Factor -1/2*i - 3/4*i**r + 0 - 1/4*i**3.
-i*(i + 1)*(i + 2)/4
Let w = 12713 - 381389/30. Let g(q) be the second derivative of 3/2*q**2 + 5/3*q**3 + 0 + w*q**6 + 3/10*q**5 - 29*q + q**4. Factor g(x).
(x + 1)**3*(x + 3)
Suppose -2*y - 18 = y. Let n(d) = 3*d**2 - 2*d - 1. Let p(h) = h**2 - h. Let t(s) = y*p(s) + n(s). Find o, given that t(o) = 0.
1/3, 1
Let s(f) be the second derivative of f**5/60 + 4*f**4/9 + 14*f**3/9 - 2074*f. Find t such that s(t) = 0.
-14, -2, 0
Let 16/5*h - 6/5*h**5 + 4*h**3 - 8*h**2 + 0 + 2*h**4 = 0. Calculate h.
-2, 0, 2/3, 1, 2
Suppose 0 = k - 5, 0 = -3*a + 2*k + 3*k - 25. Suppose -p - 2*p + 6 = a. Factor 3*u + 3*u**p - 3*u**2 - 2*u**2 - u**2.
-3*u*(u - 1)
Let q(j) be the third derivative of -j**5/48 - 5*j**4 + 2525*j**3/24 - 2*j**2 - 2079*j. Factor q(c).
-5*(c - 5)*(c + 101)/4
Let s(l) be the second derivative of 24*l + 13/4*l**3 - 9*l**2 + 0 - 1/8*l**4. Solve s(i) = 0.
1, 12
Factor -916*h**2 - 48035956/3 - 4/3*h**3 - 209764*h.
-4*(h + 229)**3/3
Suppose 146*z = -460 + 460. Let i(w) be the first derivative of 3*w**2 + 3/5*w**5 + 5*w**3 + z*w + 30 + 3*w**4. Solve i(h) = 0 for h.
-2, -1, 0
Let x be (391/34 + -11)/((-28)/16) - (-87)/84. Find d, given that -93/4*d + x*d**3 + 33/2 + 6*d**2 = 0.
-11, 1, 2
Suppose -5*t + 6 + 6 = 2*c, 0 = -5*t - 5*c. Let j = -432/5 + 90. Let 12/5*i**3 - 2/5*i**t + 0 + 0*i - j*i**2 = 0. What is i?
0, 3
Let b(a) be the third derivative of -a**9/10584 + a**8/2940 + a**7/420 + a**6/315 + 7*a**3/6 - 18*a**2. Let l(v) be the first derivative of b(v). Factor l(c).
-2*c**2*(c - 4)*(c + 1)**2/7
Let p(a) be the third derivative of a**5/15 + 138*a**4 + 1654*a**3/3 - 349*a**2 + 2*a - 1. Factor p(v).
4*(v + 1)*(v + 827)
Let t be (-1 - (-178)/4)*6096/504. Let l = t - 525. What is f in l*f**2 - 2/7*f**4 + 0 - 2/7*f**3 + 8/7*f = 0?
-2, -1, 0, 2
Let n(d) be the first derivative of -d**4/2 - 22*d**3/3 + 172*d**2 - 320*d + 3078. Factor n(x).
-2*(x - 8)*(x - 1)*(x + 20)
Suppose 0*j + 84 = 3*j. Let y = -11 + j. Factor -9*v**4 - 4*v**3 + y*v**5 + v**4 - 8*v**3 - 13*v**5.
4*v**3*(v - 3)*(v + 1)
Let k(l) be the third derivative of 8/15*l**3 - 13/150*l**5 - 3/10*l**4 + 3/50*l**6 + 0 + 1/105*l**7 - 181*l**2 + 0*l. Suppose k(x) = 0. Calculate x.
-4, -1, 2/5, 1
Let u be ((-1)/((-2)/(-4)))/((-31)/7595). Let n = u - 490. Determine o so that 2/13*o**3 + 0 + n*o + 2/13*o**2 = 0.
-1, 0
Let u be -13 + 1179/90*1. Let g(r) be the second derivative of 1/50*r**6 + 0*r**2 + 0 - 12*r - u*r**3 - 9/100*r**5 + 3/20*r**4. Find q such that g(q) = 0.
0, 1
Let q(h) be the second derivative of -12*h**2 + 2*h**4 + 7*h - 1/2*h**3 + 3/20*h**5 + 8. Suppose q(l) = 0. What is l?
-8, -1, 1
Let d(w) = -w**2 + 2. Let h(n) = 3*n**2 - 12*n + 10. Let t(u) = -2*u**3 - 18*u**2 - 2*u - 17. Let v be t(-9). Let i(m) = v*d(m) - h(m). Solve i(f) = 0 for f.
1, 2
Let t(r) be the third derivative of -44*r**7/21 - 101*r**6/20 - 27*r**5/10 + r**4/6 - 1275*r**2. Let t(z) = 0. What is z?
-1, -2/5, 0, 1/44
Let x = -11 - -14. Let j be x/(-2 + 3) + 0. Determine h, given that 35 - 16*h**j - 75*h + 3*h**4 + 90*h**2 - 25*h - 4*h**3 - 8*h**4 = 0.
-7, 1
Let o = 41217/46 + -20574/23. What is r in 48 + 21*r + o*r**3 - 51/2*r**2 = 0?
-1, 2, 16
Suppose 12*b - 14*b + 3021 = -5*s, -5*b + 7605 = 5*s. Let d = b + -4550/3. Factor 256/3 + d*m**2 - 64/3*m.
4*(m - 8)**2/3
Let k(s) be the third derivative of s**6/24 + 25*s**5/12 + 125*s**4/8 - 1875*s**3/2 - 4*s**2 - 217. Solve k(x) = 0 for x.
-15, 5
Let p(y) be the third derivative of -1/24*y**6 + 1/4*y**5 + 0 - 39*y**2 + 0*y - 10*y**3 + 5/6*y**4. Factor p(c).
-5*(c - 3)*(c - 2)*(c + 2)
Let o = 820/111 - 1085/222. Determine h, given that 9*h**4 + 3/2*h**3 + 0 - o*h**5 - 6*h - 16*h**2 = 0.
-1, -2/5, 0, 2, 3
Let p(k) be the second derivative of 8/3*k**3 + 97 + 2*k - 3/10*k**5 + 6*k**2 - 1/4*k**4 + 1/30*k**6. Factor p(b).
(b - 6)*(b - 2)*(b + 1)**2
Let i(h) = 47*h - 15. Let c be i(2). Let z = c + -39. Factor 12*t**2 - 6*t**2 - 73*t**4 - 8 + z*t - 25*t**4 - 140*t**3.
-2*(t + 1)**2*(7*t - 2)**2
Let a be 84/35 + (286/(-990) - (-9)/(-81)). Solve -8/3 - 26/3*s**a + 60*s**3 - 88/3*s + 42*s**4 = 0.
-1, -2/21, 2/3
Let s = -99 - -146. Factor 69 - 26*g + g**2 - 30 - s + 177.
(g - 13)**2
Let q be 1*1*(-1 + 7 + -4). Suppose -64*u**3 - 10*u + 61*u**q - 12*u**4 - 153*u**2 - 20*u + 6*u = 0. What is u?
-3, -2, -1/3, 0
Let n be -1*(136/(-32) + (-48)/(-12)). Factor -3*h - h**2 + 0 + n*h**3.
h*(h - 6)*(h + 2)/4
Let l be -1 + 1 - (-2 - (2 - 2)). What is y in 20*y - 15*y + 65*y**l - 101 + 36 + y**3 - 6*y**3 = 0?
-1, 1, 13
Let h be (46/(-153) + (-1)/(-45)*10)/(-2). Let t(m) be the first derivative of -7/17*m**2 - 18 - 12/17*m - h*m**3. Suppose t(p) = 0. Calculate p.
-6, -1
Let g(q) be the first derivative of -4*q**5/25 - 2*q**4/5 + 64*q**3/15 + 4*q**2/5 - 12*q + 93. Determine k so that g(k) = 0.
-5, -1, 1, 3
Find w such that -100 + 100*w**2 + 41276*w + 1915*w**3 - 405*w**4 - 40496*w - 2115*w**2 - 175*w**5 = 0.
-5, 2/7, 2/5, 1
Suppose 14*k = -9*k + 10*k - 8*k. Let h(w) be the third derivative of 8/3*w**3 + 6*w**2 - 1/5*w**5 + k - 1/30*w**6 + 0*w + 0*w**4. Factor h(l).
-4*(l - 1)*(l + 2)**2
Let u(r) = -6*r - 292. Let p be (-2)/7 + ((-1705)/35 - 0). Let a be u(p). Factor 1/2 + 1/2*m**4 + 3*m**a + 2*m + 2*m**3.
(m + 1)**4/2
Let g(n) be the first derivative of 11*n**4/4 + 607*n**3/3 + 352*n**2 + 108*n - 241. Let g(h) = 0. Calculate h.
-54, -1, -2/11
Suppose 28*x - 90*x = 32*x + 60*x. Let b be (2 - -10)/2 + -2. Let -15/2*j**5 + 10*j**b + 0*j + 0*j**2 + 10*j**3 + x = 0. What is j?
-2/3, 0, 2
Let z(r) = r**4 + 7*r**3 - 21*r**2 + 20*r - 14. Let q(b) = -3*b**4 - 12*b**3 + 42*b**2 - 42*b + 30. Let y(h) = 7*q(h) + 15*z(h). Suppose y(m) = 0. What is m?
0, 1/2, 1, 2
Factor u**4 + 26*u + 63*u**3 - 8*u - 5*u - 13*u + 122*u**2.
u**2*(u + 2)*(u + 61)
Suppose -u + 3*l - 5 = -23, -2*u + 27 = -3*l. Factor -45 + 30*g**2 - 23 + 39*g + 6 + 31 - 29 - u*g**3.
-3*(g - 4)*(g - 1)*(3*g + 5)
Let q = 80 - 76. Let z = 19 - 13. Solve 2*v**2 + 7*v**2 + q*v**3 - v**3 - 9*v + 6*v - 3*v**4 - z = 0 for v.
-1, 1, 2
Let u(v) be the first derivative of -7*v**6/180 + 2*v**5/3 + v**4 - 22*v**3 - 18. Let p(q) be the third derivative of u(q). Suppose p(t) = 0. Calculate t.
-2/7, 6
Let i = -719 + 773. Suppose s**4 + i*s**2 + 0*s**4 + 56*s**3 + 8*s**4 - 7*s**4 = 0. What is s?
-27, -1, 0
Let d be (1/2)/(((-11)/(-414))/11). Factor -86*r**3 - 100*r**3 - 24*r**2 + 0*r**4 - 48*r - 3*r**4 + d*r**3.
-3*r*(r - 4)**2*(r + 1)
Let n(s) be the second derivative of -s**5/720 + s**4/32 - 101*s**2/2 - s - 13. Let j(k) be the first derivative of n(k). Factor j(l).
-l*(l - 9)/12
Let i be (-724)/(-24) + (-6)/36. Factor 40*a + 27 - 25*a**2 + i*a**3 + 33 - 15*a**3 - 20*a**3.
-5*(a - 2)*(a + 1)*(a + 6)
Let z(q) be the first derivative of -q**5/20 + 19*q**4/4 - 361*q**3/2 + 6859*q**2/2 - 4*q - 82. Let l(i) be the first derivative of z(i). Factor l(x).
-(x - 19)**3
Let z be (-30*3/4)/(1/(-2)). Factor -30 + 22171*t**4 + 8*t - 22176*t**4 - 103*t - 105*t**2 - z*t**3.
-5*(t + 1)**3*(t + 6)
Let d(o) = 9*o**2 - 1356*o + 95220. Let w(a) = 17*a**2 - 2718*a + 190440. Let f(g) = -7*d(g) + 4*w(g). Determine t, given that f(t) = 0.
138
Let c be (-4 + 8 + -6)/(((-4256)/(-48))/(-14)). Factor c*m + 20/19*m**2 + 0 + 12/19*m**4 + 2/19*m**5 + 24/19*m**3.
2*m*(m + 1)**3*(m + 3)/19
Let b(j) be the third derivative of -j**6/1200 - 103*j**5/600 - 35*j**4/3 - 125*j**3 - 33*j**2 - 54*j. Find a, given that b(a) = 0.
-50, -3
Let v(z) = -119*z + 10831. Let k be v(91). Factor k - 1/2*j + 5/4*j**3 - 11/4*j**2.
(j - 2)*(j - 1)*(5*j + 4)/4
Let a(q) be the second derivative of q**5/60 + q**4/24 - q**3 - 137*q**2/2 - 23*q - 2. Let h(m) be the first derivative of a(m). Factor h(i).
(i - 2)*(i + 3)
Let j = -1159199/60 + 19320. Let d(x) be the second derivative of 7/20*x**5 - 2*x**4 - j*x**6 - 7/6*x**3 + 13*x + 49/4*x**2 + 0. Factor d(q).
-(q - 7)**2*(q - 1)*(q + 1)/2
Let p(g) be the first derivative of 0*g + 165 + 3/5*g**4 + 12/5*g**3 + 0*g**2 + 1/25*g**5. Factor p(q).
q**2*(q + 6)**2/5
Let l(o) be the first derivative of 13*o**4 + 2*o + 23/2*o**2 + 73/3*o**3 + 15