-12)/(-10) - (-840)/600. Let b(n) be the first derivative of n**3 + 29 - n**2 + 0*n**4 + 0*n - c*n**5. Solve b(z) = 0 for z.
-2, 0, 1
Let t = 403549/3 - 134515. Factor -t*z**2 + 0 + 1/3*z**5 + 8/3*z**3 - 5/3*z**4 + 0*z.
z**2*(z - 2)**2*(z - 1)/3
Determine v so that -2/9*v**3 - 238/9*v + 38/9*v**2 + 490/9 = 0.
5, 7
Let l(n) be the third derivative of 0 + 19/4*n**4 + 0*n + 21*n**2 + 1/20*n**5 + 361/2*n**3. Let l(g) = 0. What is g?
-19
Let y = -1 + 3. Let u = -284 + 287. Factor -2*x**y + x - u*x**2 + 15*x + 4*x.
-5*x*(x - 4)
What is d in 112/5*d**4 + 0 + 0*d**2 + 0*d - 2/5*d**5 + 114/5*d**3 = 0?
-1, 0, 57
Let m(f) be the second derivative of -16/3*f**4 + 0*f**3 + 4/5*f**5 + 0*f**2 - 1/30*f**6 - 94*f + 0. Let m(i) = 0. Calculate i.
0, 8
Factor -483 - 40*m**3 - 235*m**4 + 68 - 1208*m - 168 - 240*m**2 + 236*m**4 - 426*m**2.
(m - 53)*(m + 1)**2*(m + 11)
Let y(q) be the first derivative of -1/60*q**5 - 3/2*q**2 + 1/6*q**4 - 2/3*q**3 + 0*q + 1. Let c(b) be the second derivative of y(b). Factor c(i).
-(i - 2)**2
Suppose 54/7*z**4 + 2/7*z**5 - 34/7*z**3 - 1080/7 - 1984/7*z - 990/7*z**2 = 0. Calculate z.
-27, -2, -1, 5
Let r(f) = -3678*f + 36792. Let u be r(10). Factor -27/2 + u*k + 3*k**3 + 57/2*k**2.
3*(k + 1)*(k + 9)*(2*k - 1)/2
Let y(f) be the first derivative of 2/27*f**3 - 199 + 32/9*f - 10/9*f**2. Suppose y(t) = 0. Calculate t.
2, 8
Let x(r) be the second derivative of r**7/280 + r**6/15 + r**5/2 + 2*r**4 + r**3/6 - 21*r**2/2 + 81*r. Let v(z) be the second derivative of x(z). Factor v(h).
3*(h + 2)**2*(h + 4)
Let z be (30/25)/(50/125). Let t(m) be the second derivative of 27*m + 1/39*m**z + 0 + 11/78*m**4 - 11/13*m**2 - 1/130*m**5. Factor t(p).
-2*(p - 11)*(p - 1)*(p + 1)/13
Let v(i) be the third derivative of -i**5/90 + i**4/2 - 2*i**2 + 42*i. Factor v(q).
-2*q*(q - 18)/3
Let z(s) be the second derivative of 44/65*s**5 - 8/39*s**4 + 0*s**3 + 0*s**2 + 56*s + 25/91*s**7 + 0 - 29/39*s**6. Determine l so that z(l) = 0.
0, 1/3, 4/5
Let -14730 - 75*c - 14767 - 5*c**2 + 29577 = 0. What is c?
-16, 1
Suppose 0 = 7*p - 33*p + 104. Suppose -3 + 1 + 2 + 21*t**4 - 16*t**p - 20*t**3 = 0. What is t?
0, 4
Suppose -3*r + 23 = 5*z, 4*z + 5*r - 11 = 10. Find j, given that 1874*j**2 - 524*j + 24653*j**2 + z + 13473*j**2 - 276*j = 0.
1/100
Find q, given that -61*q**2 - 5*q + 113*q + 57*q**2 - 216 + 22*q**2 - 11*q**3 + q**4 = 0.
-3, 2, 6
Let n(t) be the third derivative of -t**10/1360800 + t**9/136080 - t**8/45360 - 4*t**5/3 - 44*t**2 - 1. Let v(b) be the third derivative of n(b). Factor v(c).
-c**2*(c - 2)**2/9
Let s(j) be the third derivative of j**7/735 - 51*j**6/140 + 77*j**5/2 - 22981*j**4/12 + 33614*j**3 + 4*j**2 + 16*j - 27. Solve s(k) = 0.
6, 49
Let y(t) be the first derivative of -t**6/6 + 18*t**5/5 + 454*t**4 + 27664*t**3/3 + 48216*t**2 - 318304*t - 10819. Solve y(c) = 0.
-14, 2, 58
Let f(x) = x**5 - 18*x**4 - 23*x**3 - 16*x**2 + 6*x. Let i(r) = r**5 - r**4 + 3*r**3 - r**2 + 3*r. Let d(j) = f(j) - 2*i(j). Find l such that d(l) = 0.
-14, -1, 0
Let u(g) = -g**2 + 6*g + 9. Let s be u(7). Let -21*h + 43*h - 63*h**3 + 0*h**5 + 45*h**s + 28*h + h**5 - 29*h**4 - 4*h**5 = 0. Calculate h.
-5, -2/3, 0, 1
Let s = 1153/4308 - 19/1077. Factor -1/4*j**2 + 0 + 0*j + s*j**3.
j**2*(j - 1)/4
Let h(m) be the third derivative of -m**8/84 + 22*m**7/315 + 16*m**6/15 + 76*m**5/45 - 16*m**4/3 + 8532*m**2. Suppose h(b) = 0. What is b?
-3, -2, 0, 2/3, 8
Suppose 0 = -6449*n + 6472*n - 69. Factor 0 + 3/2*f**2 - n*f.
3*f*(f - 2)/2
Let z(q) = 2*q - 17. Let t be z(9). Let h(w) = 40*w**3 + 2*w**2 - w. Let d be h(t). Let p + 5*p + 37*p**4 + 4 + 2*p - d*p**4 - 8*p**3 = 0. What is p?
-1, 1
Let p(y) be the first derivative of -5*y**4/12 + 1345*y**3/9 + 2148. Solve p(u) = 0 for u.
0, 269
Let k be (639/(-63) + 10)/((-26)/(-117) - (-326)/(-252)). What is z in -k*z**2 + 14/15*z - 4/3 = 0?
2, 5
Let r(c) = 7*c**3 - 341*c**2 - 185*c. Let a(v) = -62*v - 71*v**3 + 137*v**3 - 114*v**2 - 64*v**3. Let s(q) = 17*a(q) - 6*r(q). Factor s(g).
-4*g*(g - 14)*(2*g + 1)
Let h be (-28)/(-1) - 729594/26793. Solve 0*b + 0 - 16/13*b**4 + 100/13*b**2 - 2/13*b**5 - h*b**3 = 0.
-5, 0, 2
Suppose 21 = -n + 18. Let r be n + 5 + -2 - -4. Factor 13*p + 3*p - r + 4*p**2 + 4.
4*p*(p + 4)
Solve -5/3*r**2 - 500 - 1/6*r**3 + 250/3*r = 0.
-30, 10
Let z(s) = -3*s**3 - 45*s**2 + 981*s - 3237. Let l(u) = 6*u**3 + 87*u**2 - 1965*u + 6473. Let c(x) = -3*l(x) - 7*z(x). Suppose c(h) = 0. What is h?
-30, 6
Suppose -3512/9*q**2 + 148/9*q**4 - 26*q**3 + 14/9*q**5 + 5120/9*q - 512/3 = 0. Calculate q.
-8, 3/7, 1, 4
Let c(t) = 1. Suppose -1 = 8*l + 7. Let d(q) = 3*q**3 + 15*q**2 + 12*q - 18. Let u(f) = l*d(f) - 18*c(f). Factor u(z).
-3*z*(z + 1)*(z + 4)
Let w(h) be the third derivative of -h**6/150 + 4*h**5/15 - 39*h**4/10 + 108*h**3/5 - 8*h**2 + 82*h - 3. Factor w(a).
-4*(a - 9)**2*(a - 2)/5
Let a(u) be the third derivative of -1241*u**5/180 + 155*u**4/9 + u**3/18 + u**2 - 10*u - 30. Solve a(x) = 0 for x.
-1/1241, 1
Let t(f) = 9*f**2 - f + 2. Let x be t(0). Factor -5*y**3 + 20*y + 20*y + 20*y**x + 2*y**2 - 12*y**2.
-5*y*(y - 4)*(y + 2)
Let l(t) be the second derivative of 0 + 9*t**2 - 1/2*t**3 - 1/4*t**4 + 16*t. Factor l(s).
-3*(s - 2)*(s + 3)
Let k(y) = 13*y**2 + 301*y - 1754. Let t(d) = 44*d**2 + 1003*d - 5847. Let h(a) = -54*k(a) + 16*t(a). Find o such that h(o) = 0.
6, 97
Let f(b) be the second derivative of -25/14*b**2 + 0 - 10/21*b**3 - 75*b - 1/21*b**4. Solve f(q) = 0.
-5/2
Let h(b) be the first derivative of -b**4/26 - 232*b**3/39 - 3364*b**2/13 + 1431. Determine v, given that h(v) = 0.
-58, 0
Let s(m) = -m**2 + 15*m + 98. Let o be s(20). Let q be (9/o)/(6 - (25 + -13)). Determine h so that 1/4*h**3 + q*h - h**2 + 0 = 0.
0, 1, 3
Let s(l) = -l - 7. Let c(i) = -i**2 + i + 6. Let u be c(-4). Let b be s(u). Factor 0*z**3 - b*z + 5*z + 2*z**3 - 4*z**2 + 4.
2*(z - 2)*(z - 1)*(z + 1)
Let c(b) be the third derivative of b**5/180 - 10*b**4/9 - 2*b**2 + 1. Suppose c(h) = 0. What is h?
0, 80
Let b(x) = 1019*x + 2. Let p be b(1). Factor -779 + 120*i - 9*i**2 - p + 7*i**2.
-2*(i - 30)**2
Let 80/21*a + 24/7 + 2/21*a**3 + 26/21*a**2 = 0. Calculate a.
-9, -2
Suppose 0 = 5*x + 3*b - 13, 0 = 4*x - 0*b + b - 9. Let u = -983 + 983. Solve 8/9 + u*h + 2/9*h**3 - 2/3*h**x = 0 for h.
-1, 2
Let p be (-271)/(-5) - ((29 - 38) + 24). Let 0*b + 0 + 36/5*b**2 + 168/5*b**3 + p*b**4 = 0. Calculate b.
-3/7, 0
Let x(p) be the second derivative of -p**5/270 - 35*p**4/108 + 4*p**3/3 - 125*p**2/2 + 2*p + 48. Let h(l) be the first derivative of x(l). Factor h(d).
-2*(d - 1)*(d + 36)/9
Let w(u) = 5*u**3 + 110*u**2 - 987*u + 2980. Let d(k) = -3*k**3 - 73*k**2 + 658*k - 1985. Let h(z) = -8*d(z) - 5*w(z). Factor h(q).
-(q - 20)*(q - 7)**2
Let m(k) be the second derivative of k**4/6 + 145*k**3 - 874*k**2 - 51*k - 55. Find s such that m(s) = 0.
-437, 2
Let h(z) be the third derivative of z**6/300 - 17*z**5/50 - 18*z**4/5 - 44*z**3/3 - 1958*z**2. Determine x, given that h(x) = 0.
-2, 55
Let n(o) = 6*o - 20. Let v be n(4). Suppose v*g + 6 = 18. Let -k**4 + 12*k**5 - 7*k**4 - 8 + 48*k**2 + 14*k - 11*k**g - 29*k**3 - 18*k = 0. What is k?
-2, -1/3, 1
Let n(b) be the third derivative of b**6/300 - 7*b**5/15 + 203*b**4/60 - 134*b**3/15 - b**2 + 3. Find g such that n(g) = 0.
1, 2, 67
Let a(s) = -11*s**3 + 4*s**2 + 4*s - 13. Let o(w) = 5*w**3 - 2*w**2 - 2*w + 6. Let g(d) = -4*a(d) - 9*o(d). Let b be g(2). Factor 46*c - 25*c - 19*c + b*c**2.
2*c*(c + 1)
Suppose 4*l = 4*s - 48, -737*l + 3*s = -732*l + 32. Find f, given that 0 + 1/6*f**3 + 2/3*f**l + 1/2*f = 0.
-3, -1, 0
Let j = -4567 + 4571. Let t(d) be the third derivative of 0*d**5 + 0*d**j + 0*d**3 + 0 - 22*d**2 + 0*d - 1/315*d**7 + 1/90*d**6. Factor t(u).
-2*u**3*(u - 2)/3
Let c(a) be the first derivative of 4*a**6/45 + 26*a**5/15 - 146*a**4/15 + 326*a**3/45 + 4*a**2 + 1847. Solve c(y) = 0.
-20, -1/4, 0, 1, 3
Let a(z) be the second derivative of 1/45*z**5 + 272/3*z**3 + 3 - 288*z**2 - 12*z + 71/27*z**4. Let a(y) = 0. Calculate y.
-36, 1
Suppose -4*s - 2 = -o, 5*o - 78 = -346*s + 349*s. Factor 3/8*m**s - 3/4*m - 3/8*m**2 + 3/4*m**3 + 0.
3*m*(m - 1)*(m + 1)*(m + 2)/8
Let q(o) be the first derivative of -o**5/100 - 3*o**4/40 - o**3/5 + 7*o**2/2 + 5*o + 26. Let r(x) be the second derivative of q(x). Factor r(y).
-3*(y + 1)*(y + 2)/5
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