 + 0 + 0*g + 1/300*g**5 + 0*g**4 + 1/200*g**6. Factor q(a).
a**2*(3*a + 1)/5
Let f(l) be the first derivative of -254 - 1/5*l**5 + 11/2*l**2 + 0*l + 9/4*l**4 + 7*l**3. Solve f(k) = 0.
-1, 0, 11
Let z be (-41692)/(-196)*(0 + -1)/1. Let b = -212 - z. Determine w, given that 0*w + 0 + 3/7*w**5 + 1/7*w**3 + 1/7*w**2 - b*w**4 = 0.
-1/3, 0, 1
Let c = 1/26 - -58/13. Let z = c + 27. Let -z*u**2 + 33/2*u**3 + 3/2 + 27/2*u = 0. What is u?
-1/11, 1
Let i be 64/(-28) + 2 - 60/(-14). Let s(p) = -17*p**2 + 64*p. Let y(m) = -20*m**2 + 65*m. Let d(h) = i*y(h) - 5*s(h). Find w, given that d(w) = 0.
0, 12
Let w(i) = 2*i**3 - 6*i. Let r(y) = -18*y**3 - 60*y**2 - 64*y. Let o(g) = r(g) + 8*w(g). Suppose o(x) = 0. What is x?
-28, -2, 0
Let y(i) be the third derivative of -7*i**7/10 - 19*i**6/8 - 43*i**5/20 + 3*i**4/8 - 209*i**2 - 3*i. Factor y(l).
-3*l*(l + 1)**2*(49*l - 3)
Let b(j) be the third derivative of 0*j + 64/33*j**3 + 2/55*j**5 - 4/11*j**4 - 1/660*j**6 + 13*j**2 - 2. Determine y, given that b(y) = 0.
4
Let o be 16/12*2/20. Let j = -12597922/15 - -839862. Determine m so that -j - o*m**2 - 2/3*m = 0.
-4, -1
Let o(t) be the second derivative of -t**7/42 - 4*t**6/15 - 3*t**5/4 - 228*t. Let o(j) = 0. Calculate j.
-5, -3, 0
Let y = -184 - -186. Let o be (-34 - -31)*y/(-39). Factor o*x**5 + 0 + 0*x**3 + 4/13*x**2 - 4/13*x**4 - 2/13*x.
2*x*(x - 1)**3*(x + 1)/13
Factor -3/8*u**2 - 627/4 + 633/8*u.
-3*(u - 209)*(u - 2)/8
Let z(s) = -279*s**2 - 409*s - 70. Let u(p) = -139*p**2 - 208*p - 36. Let i(l) = -7*u(l) + 4*z(l). Factor i(g).
-(11*g + 2)*(13*g + 14)
Let r(z) be the third derivative of -z**9/30240 + z**5/60 + z**3/6 + 18*z**2 + 4*z. Let c(k) be the third derivative of r(k). Suppose c(o) = 0. What is o?
0
Let x(d) be the first derivative of 6*d**5/35 + 1039*d**4/14 + 688*d**3/21 - 692*d**2/7 - 7361. What is s in x(s) = 0?
-346, -1, 0, 2/3
Let t(n) = -6 - 4 + 27 - 12*n - 5*n**2. Let c(w) = -14*w**2 - 35*w + 49. Let f(j) = 6*c(j) - 17*t(j). Factor f(a).
(a - 5)*(a - 1)
Let w(a) = -5*a - 14. Let n be w(-6). Suppose n = 5*y - 4. Factor 16*i + 2*i**2 - 6 + y*i + 56.
2*(i + 5)**2
Let v = -727/3 + 5101/21. Suppose -5*n - 2*i = -6, 41*i + 6 = 38*i. Factor -24/7*t**3 - v*t**4 - 36/7*t**n + 0 - 16/7*t.
-4*t*(t + 1)**2*(t + 4)/7
Find w, given that 174*w**2 - w**3 + 428*w - 764*w + 2400 - 559*w - 2*w**3 - 353*w = 0.
4, 50
Let d(v) = -2*v**5 - v**3 + 2*v**2 - v. Let z(f) = -13*f**5 - 45*f**4 - 131*f**3 + 490*f**2 + 1147*f. Let l(a) = 5*d(a) - z(a). Factor l(x).
3*x*(x - 3)*(x + 2)*(x + 8)**2
Factor -104 - 25290*l + 12672*l - l**3 + 12672*l + 51*l**2.
-(l - 52)*(l - 1)*(l + 2)
Factor -21*c**2 - 40 + 4 - 3*c**3 + 22401*c + c**4 + 56*c**2 + 15*c**3 - 22413*c.
(c - 1)*(c + 1)*(c + 6)**2
Let u be 48 - (-385260)/3290 - 12/(-282). Factor -136/7*q + u + 4/7*q**2.
4*(q - 17)**2/7
Let c(f) be the third derivative of 31/30*f**6 + 22 - 4/21*f**8 + 16/35*f**7 + 3*f**2 - 4/3*f**3 - 22/15*f**5 - 5/2*f**4 + 0*f. Solve c(h) = 0 for h.
-1, -1/4, 1, 2
Let n = 1159 - -1101. Suppose 7*p + 2239 = n. Factor 8/5*l**2 - 16/5*l + 4/5*l**p - 32/5.
4*(l - 2)*(l + 2)**2/5
Let q(w) = -4*w**3 - 86*w**2 - 1932*w - 3519. Let h(i) = -3*i**3 - 86*i**2 - 1932*i - 3522. Let s(f) = -3*h(f) + 2*q(f). Factor s(a).
(a + 2)*(a + 42)**2
Factor 1/11*b**3 + 10/11*b**2 + 8/11*b - 64/11.
(b - 2)*(b + 4)*(b + 8)/11
Let o(s) be the second derivative of -s**7/126 - 13*s**6/90 - s**5/5 + 928*s. Factor o(j).
-j**3*(j + 1)*(j + 12)/3
Suppose 123*y - 659*y**3 - 666*y**3 - 144*y**2 + 846 + 1328*y**3 = 0. What is y?
-2, 3, 47
Suppose -4*j - 240 = -8*j. Let a be 2/(-4 - j/(-14)). Let 4 + 0*k - a + 5*k**2 + 5*k - 7 = 0. What is k?
-2, 1
Factor -38400/7 - 2/7*z**3 - 326/7*z**2 - 13760/7*z.
-2*(z + 3)*(z + 80)**2/7
Let 4/5*m**3 - 4/5*m**4 - 16/5*m + 16/5*m**2 + 0 = 0. What is m?
-2, 0, 1, 2
Let u(p) = 6332*p + 2509056. Let w(h) = -2*h**2 + 18994*h + 7527168. Let f(b) = 7*u(b) - 2*w(b). Factor f(x).
4*(x + 792)**2
Let t be (-258)/24 + 13 + (-1)/4. Factor 49/4 + 1/4*a**3 + 63/4*a + 15/4*a**t.
(a + 1)*(a + 7)**2/4
Suppose 0 = 313*w - 10*w + 186*w - 978. Factor -3/2*f + 3/2*f**4 + 1/2*f**5 + f**3 - f**w - 1/2.
(f - 1)*(f + 1)**4/2
Let p(q) = 5*q**4 - 20*q**3 + 14*q**2 + 16*q + 17. Let a(r) = r**2 - r + 8. Let y(i) = 4*a(i) - p(i). Determine g so that y(g) = 0.
-1, 1, 3
Let -10208/3*z + 15488/9 + 2/9*z**4 + 116/3*z**3 + 14786/9*z**2 = 0. What is z?
-88, 1
Let g = 230 - 89. Let a be g/235 - (-2)/30. What is k in -a*k**2 + 4 + 2/3*k = 0?
-2, 3
What is f in 45*f + 535/4*f**3 + 135*f**2 + 5*f**5 + 0 + 195/4*f**4 = 0?
-6, -2, -1, -3/4, 0
Solve -111/2*p**3 + 144*p + 3/2*p**5 - 21*p**4 + 111*p**2 + 0 = 0 for p.
-3, -1, 0, 2, 16
Let x = 271942 + -271934. Determine o so that x*o - 273/2*o**4 + 170*o**3 + 0 - 66*o**2 + 49/2*o**5 = 0.
0, 2/7, 1, 4
Let n be (-14)/27*((-24)/100)/(48/1200). Factor 0 + 0*b + 2/9*b**5 + n*b**2 + 32/9*b**4 + 58/9*b**3.
2*b**2*(b + 1)**2*(b + 14)/9
Let c = 24920/3 - 8225. Suppose n = 5*a + 8956 - 8989, 0 = -5*n - a + 17. Find u, given that 5/3*u**n + c + 70/3*u = 0.
-7
Let m(d) be the third derivative of d**6/600 + 14*d**5/75 + 11*d**4/24 + d**2 + 1110. Find b such that m(b) = 0.
-55, -1, 0
Let h be -44 + 41 + (-5 + 4)*(-6)/1. Let z(a) be the first derivative of 3/8*a**4 - 19 + 0*a**2 + 0*a + 1/10*a**5 + 1/3*a**h. Determine n so that z(n) = 0.
-2, -1, 0
Suppose 1 = -2*g - 119. Let c = -48 - g. Let 76*h**3 + 16*h**2 + 28*h**2 + 19*h**4 - 10*h**4 + 8*h + 43*h**4 + c*h**5 = 0. Calculate h.
-2, -1, -1/3, 0
Let m(l) be the first derivative of 0*l**2 - 29 - 2/7*l + 6/35*l**5 + 4/7*l**4 + 4/7*l**3. What is t in m(t) = 0?
-1, 1/3
Suppose -322*c - 30 = -332*c. Suppose -3*a = 3*r + 3, c*r = a + 6*r + 7. Factor 2 - 1/2*k**a + 0*k.
-(k - 2)*(k + 2)/2
Let k(c) = 3*c**3 + 2*c**2 - 2. Let b(w) = 22*w**3 + 38*w**2 + 95*w - 14. Let y(z) = 2*b(z) - 14*k(z). Let y(t) = 0. Calculate t.
-19, -5, 0
Let t(y) = 2*y**3 + 5*y + 2. Let f(i) = 6*i**3 - 446*i**2 + 896*i - 438. Let p(u) = 2*f(u) - 4*t(u). Determine g, given that p(g) = 0.
1, 221
Suppose k = 737 + 1655. Let j = -1224 + k. Determine i so that -24*i**5 + j*i**4 - 1172*i**4 + 4*i**2 - 4*i + 0*i**2 + 0*i + 28*i**3 = 0.
-1, -1/2, 0, 1/3, 1
Let f(y) = 12*y**4 + 72*y**3 + 139*y**2 + 144*y + 48. Let m(x) = 2*x**4 + 12*x**3 + 23*x**2 + 24*x + 8. Let a(d) = 6*f(d) - 34*m(d). Find v such that a(v) = 0.
-2, -1
Let k be (1 - 34/(-14))/(100/350). Solve 13*x**2 - 2*x**2 - 2*x**3 + 10*x**4 - k*x**4 - 16*x + 9*x**2 = 0.
-4, 0, 1, 2
Let f(s) be the third derivative of -s**5/180 + 239*s**4/72 + 40*s**3/3 - 3899*s**2. Find l such that f(l) = 0.
-1, 240
Let t(v) be the first derivative of -258 + 4/9*v**3 + 16/3*v**2 + 20*v. Factor t(z).
4*(z + 3)*(z + 5)/3
Solve -138/5*h**3 - 54*h + 972/5 - 558/5*h**2 - 6/5*h**4 = 0.
-18, -3, 1
Let p(n) = -16*n**4 + 32*n**3 - 4*n**2 - 24*n + 12. Let b(s) = -s**5 + 2*s**4 - s**2 - s + 1. Let y(z) = 4*b(z) + p(z). Factor y(v).
-4*(v - 1)**3*(v + 1)*(v + 4)
Suppose -22 = -h - 19. Suppose l = 5*f - 90, 2*f - l = h*f - 18. Let -f*i**2 - 9*i + 35*i**2 - 20*i**2 = 0. What is i?
-3, 0
Suppose 0 = -5*r - 20, a + 2*r - 196 = 25. Factor a*y**2 - y**4 - 2*y**4 + y**4 + 4*y**3 - 223*y**2.
-2*y**2*(y - 3)*(y + 1)
Let l(a) be the first derivative of 2*a**6/7 + 2*a**5/7 - 13*a**4/14 + 4*a**3/21 - 1343. Determine c, given that l(c) = 0.
-2, 0, 1/6, 1
Let o(n) be the second derivative of -n**5/130 + 850*n**4/13 - 2890000*n**3/13 + 4913000000*n**2/13 + 3800*n. Factor o(q).
-2*(q - 1700)**3/13
Suppose -100489 + 317*a - 1/4*a**2 = 0. What is a?
634
Suppose -14679*l**3 + 3*l**4 - 6630*l - 8*l**4 + 15259*l**3 + 2455*l**2 + 3600 = 0. What is l?
-6, 1, 120
Let x(j) be the first derivative of -j**3/2 - 15*j**2/2 - 24*j + 99. Solve x(t) = 0.
-8, -2
Let n be (-6)/39 + (-256)/(-143). Let h be -15 + (-10)/((-180)/306). Let n*d - 10/11*d**h + 4/11 = 0. Calculate d.
-1/5, 2
Let y = -127 + 135. Let q be ((-2)/y)/((-3)/4)*1. Find i such that -2/3*i + q*i**2 + 1/3 = 0.
1
Let -345/4*z**3 - 263/2*z**2 + 44*z**4 + 174 + 173*z - 1/4*z**5 = 0. Calculate z.
-1, 2, 174
Let n(f) = f**3 - 60*f**2 + 170*f + 61. Let r be n(57). Let p(s) be the second derivative of 0 - 3/4*s**5 + 3/10*s**2 + 9/10*s**3 + 8*s + 3/4*s**r. Factor p(j).
-3*(j - 1)*(5*j + 1)**2/5
Let s(l) be the second derivative of 91*l**6/6 - 1325*l**5