lculate x.
-4, 0
Let q(s) be the second derivative of -s**7/42 + s**6/30 + 3*s**5/20 - s**4/12 - s**3/3 - 3688*s. Solve q(b) = 0 for b.
-1, 0, 1, 2
Suppose -37*g - 523463 + 523611 = 0. Factor 9/5*h**3 - 1/5*h**g + 0 + 0*h + 22/5*h**2.
-h**2*(h - 11)*(h + 2)/5
Let 0 + 735/2*x + 11*x**3 + 469/4*x**2 + 1/4*x**4 = 0. Calculate x.
-30, -7, 0
Let 2*b**3 + 144478 - 203360 - 30215*b + 108191*b - 684*b**2 - 2904206 = 0. Calculate b.
114
Let p = -48171 - -96353/2. Factor 1/2*t**3 + p*t - 3 - 3*t**2.
(t - 3)*(t - 2)*(t - 1)/2
Let a(j) = 1 - 2*j**2 + 0 - 2 + 2*j**3 - 1. Let r(m) = 2*m**3 - m**2 - 3. Suppose 6*v = 27 - 3. Let d(z) = v*r(z) - 6*a(z). Factor d(x).
-4*x**2*(x - 2)
Let w be (2/48)/(5100/1836). Let u(g) be the second derivative of 1/60*g**3 - 1/300*g**6 + 0*g**2 - 1/40*g**4 + 11*g + w*g**5 + 0. Factor u(f).
-f*(f - 1)**3/10
Factor 0 + 2*p**3 + 2/5*p**4 - 64/5*p - 56/5*p**2.
2*p*(p - 4)*(p + 1)*(p + 8)/5
Let m be (37485/(-483))/(-7) + (3 - 6 - 8). Solve -2/23*o**2 - 6/23 + 10/23*o - m*o**3 = 0 for o.
-3, 1
Let 122*d - 439 + 29*d - 50*d - 4*d**2 + 251*d - 581 = 0. What is d?
3, 85
Let y(k) be the second derivative of -k**7/420 + k**6/150 + 143*k**5/200 - 6*k**4/5 - 432*k**3/5 + 140*k + 8. Determine l, given that y(l) = 0.
-8, 0, 9
Let o(c) be the third derivative of -25/6*c**3 + 1/120*c**6 - 11/60*c**5 + 0*c - 11*c**2 + 0 + 35/24*c**4. Determine l so that o(l) = 0.
1, 5
Let t = -22264 - -22268. Let c(k) be the third derivative of -1/240*k**5 + 0*k**3 + 32*k**2 - 3/32*k**t + 0 + 0*k. Find i such that c(i) = 0.
-9, 0
Find v, given that 2/13*v**3 - 750/13 - 50/13*v**2 + 350/13*v = 0.
5, 15
Let q be (1580/180)/(8/(-6)) + (-35)/(-5). Let z(w) be the second derivative of 1/8*w**5 + 9*w - 1/12*w**6 + 5/24*w**4 - q*w**3 + 0*w**2 + 0. Factor z(i).
-5*i*(i - 1)**2*(i + 1)/2
Suppose -813 = -355*a + 252. Let k(b) be the second derivative of 2/15*b**a + 2/75*b**6 - 1/15*b**4 - 1/25*b**5 + 0 + 0*b**2 + 39*b. Factor k(j).
4*j*(j - 1)**2*(j + 1)/5
Let t = 66 - 52. Determine a so that -34*a**4 - 9*a**3 + 13*a**4 + 14*a**3 - t*a**4 = 0.
0, 1/7
Let v(n) = -8*n**3 - 2*n**2 - 14*n - 12. Let r be 17*(2/9 + (-91)/(-117)). Let t(c) = 23*c**3 + 7*c**2 + 41*c + 34. Let h(q) = r*v(q) + 6*t(q). Factor h(l).
2*l*(l + 2)**2
Solve -2185*r**2 + 103*r**5 + 105*r**5 - 34*r**4 + 675*r**3 - 203*r**5 + 3100*r - 1500 - 44*r**4 - 17*r**4 = 0.
1, 2, 5, 6
Suppose 209*t - 120 = 203*t. Suppose 0 = -50*p + 45*p + t. Let -4/3*b**3 + 1/3*b**p + 0 + 0*b + 4/3*b**2 = 0. What is b?
0, 2
Let -6160*t + 3836*t**3 + 808*t**3 - 2136*t**2 - 20 - 516*t**5 + 8*t**4 + 116 = 0. Calculate t.
-3, -1, 2/129, 2
Let q = 52 + -58. Let r be (-28)/q - 1 - 44/(-132). Suppose -1810*o**2 + 16*o**3 + 1854*o**2 - 4*o**4 + 0*o**r + 24*o = 0. What is o?
-1, 0, 6
Let g(t) be the second derivative of 99*t + 1/90*t**4 + 0 - 16/15*t**2 + 2/15*t**3. Let g(v) = 0. What is v?
-8, 2
Let y(h) be the third derivative of -49*h**7/225 + 5096*h**6/225 + 2996*h**5/25 + 1296*h**4/5 + 1488*h**3/5 + 8278*h**2. Factor y(a).
-2*(a - 62)*(7*a + 6)**3/15
Let y(p) = -8*p**3 + 51*p**2 - 35*p - 182. Let x(q) = -4*q**3 + 26*q**2 - 18*q - 96. Let j(k) = 11*x(k) - 6*y(k). Let j(r) = 0. What is r?
-1, 3
Let v(f) be the second derivative of f**4/12 + 13*f**3/6 + 12*f**2 - f. Let d be v(-11). Factor -14 - 14*j - 4*j**d - 2*j**2 - 6 + 4*j**2.
-2*(j + 2)*(j + 5)
Let g(x) be the first derivative of -74 - 160*x + 10*x**3 - 5/4*x**4 + 0*x**2. Factor g(k).
-5*(k - 4)**2*(k + 2)
Let i(t) = -7*t**3 - 7431*t**2 - 1153218*t - 59582054. Let y(h) = -2*h**3 - 1858*h**2 - 288304*h - 14895512. Let j(s) = -2*i(s) + 9*y(s). Factor j(n).
-4*(n + 155)**3
Let x(k) be the third derivative of 85/24*k**4 - 131*k**2 + 40/3*k**3 + 0 + 1/12*k**5 + 0*k. Factor x(m).
5*(m + 1)*(m + 16)
Let s(h) = -6*h**3 + 10*h**2 + 8*h - 32. Let p(t) = -t**3 - t**2. Suppose j = -309 + 308. Let x(r) = j*s(r) + 10*p(r). Factor x(c).
-4*(c - 1)*(c + 2)*(c + 4)
Let l(m) = -6*m + 152. Suppose -5*j + 27 = z - 100, -2*z - 96 = -4*j. Let y be l(j). Let -2/3*p**3 - y*p**2 - 4/3*p + 0 = 0. Calculate p.
-2, -1, 0
Let s(x) be the first derivative of -x**6/14 - 3*x**5/5 + 81*x**4/14 - 76*x**3/7 - 60*x**2/7 + 288*x/7 + 472. What is t in s(t) = 0?
-12, -1, 2
Solve 4174*j**2 + 66 + 3*j**5 - 2119*j**2 + 3*j + 66*j**4 - 6*j**3 - 2187*j**2 = 0 for j.
-22, -1, 1
Let n(h) be the second derivative of -h**6/120 - 37*h**5/80 + 361*h**4/48 + 37*h**3/24 - 45*h**2 + 332*h - 4. Find l, given that n(l) = 0.
-45, -1, 1, 8
Let m(v) be the second derivative of 110*v**4/9 - 895*v**3/18 + 5*v**2 + 2*v + 184. Factor m(i).
5*(i - 2)*(88*i - 3)/3
Let x(v) be the third derivative of -v**5/80 - 17*v**4/32 - 13*v**3/2 - 290*v**2 - 2*v. Factor x(w).
-3*(w + 4)*(w + 13)/4
Let a(l) = 10*l**2 + 1527*l - 447. Let c be a(-153). Factor 4/5*t**3 + c*t - 20 + 36/5*t**2.
4*(t - 1)*(t + 5)**2/5
Let o = 9 - 9. Let c be ((-801)/11748)/((-2)/11). Determine m so that o + 1/2*m**2 + 0*m + 0*m**3 - 7/8*m**4 + c*m**5 = 0.
-2/3, 0, 1, 2
Let z(j) be the second derivative of j**5/90 - 31*j**3/27 - 10*j**2/3 + 2161*j. Factor z(i).
2*(i - 6)*(i + 1)*(i + 5)/9
Let y = 73043/3 + -24345. Factor 2/9*k**3 + 32/9*k - y - 14/9*k**2.
2*(k - 3)*(k - 2)**2/9
Let s(r) be the first derivative of r**4/18 - 716*r**3/9 + 128164*r**2/3 - 91765424*r/9 + 647. Factor s(p).
2*(p - 358)**3/9
Factor -5*h**4 + 120*h**3 - 380 + 780*h - 173*h**2 + 87*h**2 - 21*h**2 - 408*h**2.
-5*(h - 19)*(h - 2)**2*(h - 1)
Let -1408*i**2 - 353*i**2 + 55*i**3 + 491*i**2 + 5*i**4 - 2055*i + 735*i = 0. Calculate i.
-22, -1, 0, 12
Determine p, given that -5*p**5 - 2200*p**4 + 880*p**4 + 430*p**3 + 895*p**4 = 0.
-86, 0, 1
Let q(m) = 8*m + 59. Let d be q(-7). Determine c, given that -9*c**4 + c**2 - 6*c**2 + 0*c**3 + 29*c**4 - 15*c**d = 0.
-1/4, 0, 1
Let n be (-1*(-153)/(-34))/((-48)/32). Factor 2/5*t**n + 6/5*t**2 + 0 + 0*t.
2*t**2*(t + 3)/5
Suppose -3*n - 10 - 40 = 8*o, -2*n + 4*o = -32. Let 6 + 9/2*w - 3/4*w**4 - 21/4*w**n - 9/2*w**3 = 0. Calculate w.
-4, -2, -1, 1
Let t be -3 + 7 - 8/4. Let d(b) be the first derivative of -18 + 0*b - 8/3*b**3 + b**4 + 2*b**t. Determine o, given that d(o) = 0.
0, 1
Let y(l) be the first derivative of l**3/3 + 44*l**2 + 484*l - 46. Let f(n) = 3*n**2 + 176*n + 968. Let t(w) = 3*f(w) - 5*y(w). Find q, given that t(q) = 0.
-11
Find b, given that 40 + 215/2*b**3 + 140*b + 55/2*b**4 + 5/2*b**5 + 365/2*b**2 = 0.
-4, -1
Let n be (57/(-21) - -3) + (-216)/(-126). Factor -3*c**2 - 7 + 15*c + 5 + 6 + n*c**2 + 30.
-(c - 17)*(c + 2)
Let v = -54 + 147. Factor 56676*z**2 - 56666*z**2 - 180 + 12*z + v*z.
5*(z + 12)*(2*z - 3)
Let p(i) be the second derivative of -17*i**5/5 - 62*i**4 + 22*i**3/3 - 2184*i. Determine m so that p(m) = 0.
-11, 0, 1/17
Let k(z) be the first derivative of 15*z**2 + 134 - 4*z**3 + z**4 - 164 - 15*z**2. Factor k(i).
4*i**2*(i - 3)
Find h, given that 0 + 2/5*h**3 - 2/5*h**5 + 0*h - 6/5*h**2 + 6/5*h**4 = 0.
-1, 0, 1, 3
Let v be 1022/85 - (-96 - 1012088/(-10540)). Factor -10/3*x**2 + v - 18*x.
-2*(x + 6)*(5*x - 3)/3
Let v be (120/(-27) + 4)*(-1173)/184. Factor 1/6 - v*h + 8/3*h**2.
(h - 1)*(16*h - 1)/6
Let a(l) be the second derivative of -l**7/630 + 2*l**6/15 - 24*l**5/5 + 47*l**4/12 - 39*l. Let m(t) be the third derivative of a(t). Solve m(o) = 0 for o.
12
Suppose 3*y + 23 = 4*w, -w + y - 3 = 2*y. Factor -29 + c**2 + 3*c**2 + 100*c - 7*c**w - 188*c.
-(c + 29)*(3*c + 1)
Suppose 20*u - 15 = 15*u. Let x be (-2)/u - (-2 + (-208)/6). Factor x*o + 7*o**2 + 4*o**3 + 9*o**2 - 4*o**2 - 24*o + 4.
4*(o + 1)**3
Let g(n) = -n**3 + n**2 + 3*n - 1. Let x(r) = -15*r**5 - 130*r**4 - 90*r**3 + 615*r**2 + 405*r + 5. Let t(c) = 5*g(c) + x(c). Solve t(v) = 0 for v.
-7, -3, -2/3, 0, 2
Let v(o) be the second derivative of o - 38/15*o**4 - 82 - 176/15*o**3 - 9/50*o**5 - 64/5*o**2. Let v(d) = 0. What is d?
-4, -4/9
Suppose 12/5*a**3 + 3/5*a**4 + 3/5*a**2 + 0 - 18/5*a = 0. What is a?
-3, -2, 0, 1
Let q(i) be the first derivative of i**4/14 + 236*i**3/21 + 460*i**2/7 + 912*i/7 + 708. Find v, given that q(v) = 0.
-114, -2
Let r(h) be the first derivative of -7*h**2/2 + 196*h + 192. Let k be r(28). Solve -50/3*s**3 + k*s + 0 + 250/9*s**2 - 2/9*s**5 + 10/3*s**4 = 0 for s.
0, 5
Factor 595*d**2 - 354*d**2 - 243*d**2 - 378 - 33*d - 22*d.
-(d + 14)*(2*d + 27)
Let y(z) = -17*z**3 + 73*z