b(f) = -f**2 + 202*f + 7491. Let v be b(-32). Factor 2/7*s**4 - 16 - 60/7*s**2 - 152/7*s - 2/7*s**v.
2*(s - 7)*(s + 2)**3/7
Let h(i) = 62*i + 15. Let s be h(5). Suppose s*a - 328*a + 18 = 0. Factor -4 - 3*g**2 + 3 - a*g + 1.
-3*g*(g + 2)
Let q = 584853 - 6433381/11. Solve 6/11*m - 12/11*m**2 + 20/11 + q*m**3 = 0 for m.
-1, 2, 5
Let o(a) be the first derivative of 2*a**3/3 + 130*a**2 + 8450*a - 1078. Let o(m) = 0. What is m?
-65
Let o(h) be the first derivative of 2*h**5/35 - 19*h**4/7 + 370*h**3/21 + 32*h**2 - 1293. Find j such that o(j) = 0.
-1, 0, 7, 32
Let q = -63 + 67. Factor 2 + 5*g**2 - 393*g**q + 11*g + 19*g**2 + 399*g**4 + 20*g**3 + g.
2*(g + 1)**3*(3*g + 1)
Factor -48/17*d + 0 + 2/17*d**2.
2*d*(d - 24)/17
Let u(d) be the third derivative of 19*d**6/720 + 101*d**5/120 + 25*d**4/3 - 16*d**3/9 - 4*d**2 + 12*d - 1. Solve u(s) = 0.
-8, 1/19
Let t = 388/301 + 6/43. Let x(u) = u**2 + 29*u + 142. Let c be x(-6). Let 4/7*v + 0 - 2/7*v**c + 8/7*v**3 - t*v**2 = 0. Calculate v.
0, 1, 2
Let p(k) be the second derivative of 2*k**6/15 + 11*k**5/5 + 35*k**4/3 + 50*k**3/3 - 1361*k. Let p(m) = 0. Calculate m.
-5, -1, 0
Let d(p) be the third derivative of -11*p**5/60 + 425*p**4/8 + 58*p**3/3 + 320*p**2 - 13. Factor d(j).
-(j - 116)*(11*j + 1)
Let d(c) be the third derivative of -c**5/15 - 302*c**4/3 - 182408*c**3/3 + 1088*c**2 - 2*c. Suppose d(l) = 0. Calculate l.
-302
Let l(s) = -s**3 + 14*s**2 + 14*s + 41. Let g be l(12). Let k be g/426*(-2)/(-7). Factor 0 - k*r + 2/3*r**4 + 0*r**2 + r**3.
r*(r + 1)**2*(2*r - 1)/3
Suppose -4*a = 5*k + 4, -2*k - 7 = 1. Suppose -u + 6 - 4 = 0. Find l such that 12*l - 10*l**4 - 8*l**3 + l**5 + 0*l**5 - 5*l**5 - u*l**4 + a + 8*l**2 = 0.
-1, 1
Let g(h) = -h + 2. Let n = 201 - 202. Let x(q) = q**2 - 10*q + 12. Let c(b) = n*x(b) + 6*g(b). Find w, given that c(w) = 0.
0, 4
Let d(m) be the first derivative of m**4/12 + 5*m**3/9 + m**2/2 - 3*m + 2985. Find w, given that d(w) = 0.
-3, 1
Let b(y) = 2*y**2 - 14*y + 14. Suppose -14 = u - 4*v, -u + 4*u = -2*v + 28. Let a be b(u). Factor 6*n - n**2 + n**2 - 3*n**a - 3.
-3*(n - 1)**2
Let m = -1962 - -2052. Suppose -m*a = -32*a - 174. Determine l so that -45/4*l + 27/2 - 3*l**2 + 3*l**a = 0.
-2, 3/2
Let p(w) be the first derivative of w**7/308 + 13*w**6/1980 - w**5/330 + 2*w**3/3 + 9*w**2/2 - 100. Let h(d) be the third derivative of p(d). Factor h(n).
2*n*(n + 1)*(15*n - 2)/11
Let z(j) be the first derivative of 1029*j**6/13 - 588*j**5/13 + 98*j**4/13 - 16*j**3/39 + 358. Suppose z(i) = 0. What is i?
0, 2/21, 2/7
Let y be (-14 + 18)*9/12. Suppose 0*i**2 + 16 - 4*i**y - 5*i**2 - 11*i**2 + 9*i - 5*i = 0. What is i?
-4, -1, 1
Let l(k) be the third derivative of -11*k**7/735 - 2*k**6/35 + 73*k**5/210 - 5*k**4/14 - 8*k**3/21 - 1000*k**2. Determine y so that l(y) = 0.
-4, -2/11, 1
Factor 321*m - 320 + 50*m**2 - 117*m - 36*m**2.
2*(m + 16)*(7*m - 10)
Let l be (-740)/333*(5 + -23). Factor l*b - 1000 - 2/5*b**2.
-2*(b - 50)**2/5
Let z = -90 + 95. Let z*d - d**3 - 4*d + 7*d + 0*d + 12 + 0*d - d**2 = 0. Calculate d.
-2, 3
Suppose 10 = 2*y, 0 = 2*m - 53*y + 50*y + 9. Factor 4*r**4 - 10*r**3 + 11*r**3 - 256 - 69*r - 59*r + 31*r**m + 48*r**2.
4*(r - 2)*(r + 2)*(r + 4)**2
Suppose 83 = -5*j + 133. Let c(x) be the first derivative of 0*x + 20*x**2 - 20/3*x**3 + 5/8*x**4 + j. Factor c(l).
5*l*(l - 4)**2/2
Let r be ((-5)/1)/60*28/(-560). Let l(d) be the third derivative of 0*d + 0 - 3/2*d**3 + 1/8*d**4 + d**2 - r*d**5. Factor l(a).
-(a - 6)**2/4
Factor -235*u - 1005*u + 110 + 747*u - 832*u + 60*u**2.
5*(u - 22)*(12*u - 1)
Let q(g) be the second derivative of -g**4/30 - 706*g**3/5 - 1121481*g**2/5 + 162*g + 1. Factor q(z).
-2*(z + 1059)**2/5
Suppose l + 3 = 2*i, -l + 6*l + 47 = 2*i. Let c be (3 - l/(-11))*2/6. Factor 2/3*u**4 + 0 - 2/3*u**3 + c*u - 2/3*u**2.
2*u*(u - 1)**2*(u + 1)/3
Let j = -133 - -133. Let u(v) be the third derivative of 1/20*v**5 + 9/2*v**3 - 5*v**2 + 0*v - 3/4*v**4 + j. Find h, given that u(h) = 0.
3
Let m(j) = -j**3 + 30*j**2 + 64*j + 14. Let h be m(33). Let v = 1143 + h. Determine f, given that 12/5 - 12/5*f + 3/5*f**4 - 9/5*f**v + 6/5*f**3 = 0.
-2, 1
Let c(o) be the first derivative of 4/5*o**5 + 32/3*o**3 + 39 - 16*o**2 - 4*o**4 - 1/15*o**6 + 64/5*o. Find n such that c(n) = 0.
2
Let q = -27058/7 + 243578/63. Suppose -6*y - 9 = -27. Factor 8/9*r**y - 8/9 + 2/9*r**4 - q*r + 2/3*r**2.
2*(r - 1)*(r + 1)*(r + 2)**2/9
Let p(z) be the second derivative of -z**5/80 + z**4/48 + 145*z**3/12 + 36*z**2 - 10569*z. Factor p(d).
-(d - 18)*(d + 1)*(d + 16)/4
Let u(g) be the second derivative of -g**4/14 + 43*g**3/14 - 123*g**2/14 + 3856*g. Solve u(a) = 0 for a.
1, 41/2
Let f(l) be the second derivative of l**5/70 - 11*l**4/14 - 135*l**3/7 - 1075*l**2/7 + 4532*l. Factor f(p).
2*(p - 43)*(p + 5)**2/7
Let w(a) be the third derivative of a**7/140 - a**6/20 - 3*a**5/10 + 4993*a**2. Suppose w(p) = 0. Calculate p.
-2, 0, 6
Let k(b) be the first derivative of -b**5/70 - 5*b**4/42 + 31*b - 11. Let m(l) be the first derivative of k(l). Factor m(r).
-2*r**2*(r + 5)/7
Solve -16*k - 2 - 689*k**5 - 2*k**4 + 687*k**5 - 2*k**2 + 14*k + 4*k**3 + 6*k**2 = 0.
-1, 1
Let q(z) = 8*z**3 - 18*z**2 - 29*z. Let c(k) = -19*k**3 + 35*k**2 + 55*k. Let l(w) = -3*c(w) - 7*q(w). Let l(t) = 0. What is t?
-19, -2, 0
Factor 1862*c**2 - 615*c**2 - 620*c**2 + 24626162 + 14036*c - 625*c**2.
2*(c + 3509)**2
Let q(l) be the second derivative of l**7/1890 - 11*l**6/270 + 121*l**5/135 + 59*l**2/2 - 74*l. Let x(n) be the first derivative of q(n). Factor x(s).
s**2*(s - 22)**2/9
Suppose -276*p = -279*p + 15. Let c(j) be the third derivative of -41*j**2 + 1/540*j**6 + 5/36*j**4 + 0 + 1/30*j**p + 0*j - 25/27*j**3. Factor c(k).
2*(k - 1)*(k + 5)**2/9
Let w(s) be the first derivative of 1/3*s**2 - 1/6*s**4 + 32 + s - 11/9*s**3 + 8/15*s**5. Determine u, given that w(u) = 0.
-1, -1/2, 3/4, 1
Determine j, given that -3*j**3 + 3403 + 69*j**2 - 10127 + 91*j**2 + 1078*j + 5*j**3 + 1956*j = 0.
-41, 2
Let c(o) be the first derivative of 145 - 5/3*o**3 - 5/2*o**2 + 60*o. Factor c(z).
-5*(z - 3)*(z + 4)
Let s(y) be the second derivative of 1/285*y**6 + 2 - 3/19*y**2 - 3/95*y**5 - 7/57*y**4 - 11/57*y**3 + 1/399*y**7 - 32*y. Determine m so that s(m) = 0.
-1, 3
Suppose -6*n - 22*w + 20*w + 32 = 0, w = 3*n - 8. Let p(k) be the first derivative of 2/15*k**3 + 1/30*k**n - 1/15*k**2 - 2/5*k + 2. Factor p(a).
2*(a - 1)*(a + 1)*(a + 3)/15
Suppose v = 5*y - 5, -4*y - 127*v - 12 = -131*v. Factor 11/3 - 10/3*k - 1/3*k**y.
-(k - 1)*(k + 11)/3
Let m(c) be the second derivative of 0*c**3 - 1/24*c**4 - 1/168*c**7 - 2 + 33*c + 1/60*c**6 + 1/80*c**5 + 0*c**2. Solve m(w) = 0.
-1, 0, 1, 2
Let n(h) be the first derivative of 92/27*h**3 + 125 - 16*h - 13/18*h**4 - 4/3*h**2 + 2/45*h**5. Factor n(d).
2*(d - 6)**2*(d - 2)*(d + 1)/9
Let u = 6960 - 6958. Let b(s) be the second derivative of 0 - 7*s - 1/4*s**4 + 0*s**u + s**3. Factor b(l).
-3*l*(l - 2)
Let c(s) = -2*s**2 - 18*s + 2. Let j be c(-9). Let d be ((-460)/(-55))/j - (-14)/(-77). Factor 2/3*n**5 - 2/3*n + 0 + 0*n**3 - 4/3*n**2 + 4/3*n**d.
2*n*(n - 1)*(n + 1)**3/3
Let d(y) be the first derivative of 5*y**2 + 1/6*y**3 + 9 + 50*y. Suppose d(t) = 0. Calculate t.
-10
Let k(l) be the second derivative of l**7/420 + l**6/15 + 4*l**5/5 + 16*l**4/3 + 55*l**3/6 - 19*l. Let y(w) be the second derivative of k(w). Solve y(r) = 0.
-4
Let m(h) be the second derivative of 66*h + 0 + 0*h**2 + 1/8*h**5 - 5/8*h**4 + 0*h**3. Determine r, given that m(r) = 0.
0, 3
Let b(z) be the third derivative of -13*z**6/60 + 31*z**5/20 - 31*z**4/24 - 7*z**3 + 3577*z**2. Find u such that b(u) = 0.
-1/2, 14/13, 3
Let m(i) be the first derivative of -5 + 0*i + 7/8*i**4 - 7/40*i**6 + i**3 - 4*i**2 - 1/10*i**5. Let r(h) be the second derivative of m(h). Factor r(l).
-3*(l - 1)*(l + 1)*(7*l + 2)
Let s(d) be the first derivative of d**6/6 + 7*d**5 + 331*d**4/4 + 965*d**3/3 - 400*d**2 - 5500*d + 906. Suppose s(p) = 0. What is p?
-22, -5, 2
Let o be (-1 - (-1 - 7))*86/(-43). Let j be -1*(o/5 + (-8)/(-10)). Factor -51*g + 25*g + 26*g + 45 - 5*g**j.
-5*(g - 3)*(g + 3)
Let y(c) be the first derivative of c**5/30 + 5*c**4/6 - 8*c**3 - 211*c**2/2 + 247. Let a(p) be the second derivative of y(p). Let a(d) = 0. Calculate d.
-12, 2
Let n(h) = -8*h**2 + 1244*h + 3177. 