7*q**2 + 4*q**5 + 368*q**4 + 34793*q**3 + u - 9409*q**3 + 329903*q**2 + 188*q**4 = 0.
-47, 1
Let h(o) be the third derivative of o**5/150 - 9*o**4/10 + 243*o**3/5 - 573*o**2. Let h(v) = 0. What is v?
27
Let w(r) be the second derivative of -1/3*r**4 + 1 + 40*r + 24*r**2 - 2/3*r**3. Determine b, given that w(b) = 0.
-4, 3
Let f(i) be the second derivative of 1/30*i**5 + 40/9*i**3 + 13/18*i**4 - 229*i + 12*i**2 + 0. Factor f(n).
2*(n + 2)**2*(n + 9)/3
Let y(a) be the second derivative of a - 11/30*a**4 + 0*a**2 - 3/25*a**5 + 6 + 2/15*a**3. Let y(x) = 0. What is x?
-2, 0, 1/6
Let f(j) = -j**3 - 7*j**2 + 45*j + 20. Let d be f(-11). Let s(q) be the first derivative of 2/51*q**3 - d - 2/17*q**2 + 2/17*q. Determine a so that s(a) = 0.
1
Let u(y) be the third derivative of y**7/140 + 27*y**6/320 - 231*y**5/160 + 31*y**4/8 - 3*y**3 + 1355*y**2. Let u(m) = 0. What is m?
-12, 1/4, 1, 4
Suppose -72*a = -65*a + 406. Let x(p) = p**3 + 62*p**2 + 232*p. Let f be x(a). Solve -8/13*s**5 + f*s + 10/13*s**4 + 0 - 2/13*s**3 + 0*s**2 = 0 for s.
0, 1/4, 1
Let b(s) be the third derivative of 0*s**4 + 0 + 1/840*s**7 + 0*s**3 + 0*s**5 + 79*s**2 + 0*s**6 + 1/1344*s**8 + 0*s. Find t, given that b(t) = 0.
-1, 0
Suppose 5*m + 3*n - 282 = 0, 0 = 4*m + 3*n - 0*n - 225. Solve 50*g**2 + m*g**2 - 12*g - 103*g**2 = 0 for g.
0, 3
Suppose 5*v = 5*c - 0*v + 15, 3*c - 31 = -5*v. Let q = 266011 - 266008. Let 2/3*y**q + 2*y - 2*y**c - 2/3 = 0. Calculate y.
1
Let a(c) = -12*c**2 + 2*c. Let j(w) = -82*w**2 - 174*w + 186. Let x(o) = 14*a(o) - 2*j(o). Factor x(k).
-4*(k - 93)*(k - 1)
Let s = -37942 + 341486/9. Factor -s*o**2 + 0 - 2/9*o**3 - 8/9*o.
-2*o*(o + 2)**2/9
Let m(k) be the second derivative of k**8/672 - k**7/210 - k**6/240 + k**5/60 + 71*k**2/2 - 2*k - 49. Let s(p) be the first derivative of m(p). Factor s(t).
t**2*(t - 2)*(t - 1)*(t + 1)/2
Let w(i) be the first derivative of -i**6/15 + i**5/2 - i**4 - 4*i**3/3 + 8*i**2 + 204*i + 20. Let n(h) be the first derivative of w(h). Factor n(q).
-2*(q - 2)**3*(q + 1)
Suppose 0 = 9*u + 21 - 48. Factor -3*f**3 + 2*f**u + 17*f**2 + 3*f**4 - 4*f**4 - 15*f**2.
-f**2*(f - 1)*(f + 2)
Let k(t) be the first derivative of -14 + 4/13*t**2 - 2/39*t**3 + 10/13*t. Factor k(q).
-2*(q - 5)*(q + 1)/13
Let l(t) be the second derivative of t**4/4 + 55*t**3/6 - 19*t**2 + 987*t - 1. Factor l(u).
(u + 19)*(3*u - 2)
Let c(k) be the second derivative of -k**7/105 - k**6/75 + k**5/50 + k**4/30 - 26*k - 2. Factor c(v).
-2*v**2*(v - 1)*(v + 1)**2/5
Let p(f) be the second derivative of -3*f**5/10 + 139*f**4/4 - 101*f**3 - 204*f**2 - 8498*f. Factor p(z).
-3*(z - 68)*(z - 2)*(2*z + 1)
Suppose 51*a + 30*a + 100 = 101*a. Let i = 76 + -73. Determine m so that 0 + 0*m**i + 0*m**2 - 2/13*m**a - 4/13*m**4 + 0*m = 0.
-2, 0
Let k(b) = -9*b - 100. Let s be k(-16). Suppose -48*r = -59*r + s. Determine l, given that -2/3*l**3 + 0*l + 0*l**2 + 0 - 2/3*l**r = 0.
-1, 0
Let r(p) be the second derivative of 3*p**4/2 - 56*p**3/3 + 12*p**2 - 690*p. Factor r(m).
2*(m - 6)*(9*m - 2)
Let q be (-242)/(-1815) + 26/30. Let x be (-182)/234 - (-1)/q. Factor 0 - 4/9*a**2 + 0*a - x*a**3.
-2*a**2*(a + 2)/9
Let q = 48238 - 241169/5. Let 6*z - 21/5*z**2 + 0 - 27/5*z**3 - 3/5*z**5 + q*z**4 = 0. What is z?
-1, 0, 1, 2, 5
Let l(v) be the second derivative of -v**6/6 + 5*v**5 - 145*v**4/12 - 305*v**3/3 - 180*v**2 - 62*v + 3. Factor l(j).
-5*(j - 18)*(j - 4)*(j + 1)**2
Factor 10*r + 7*r - 2*r**3 + 21*r + 20*r**2 - 17*r + r**3.
-r*(r - 21)*(r + 1)
Let b be 238/(-1232)*1 + (-6)/(-16). Determine u so that 2/11*u + 2/11*u**2 - b - 2/11*u**3 = 0.
-1, 1
Suppose -51 = -47*u + 30*u. Let r(o) be the first derivative of -1/2*o**u - 9/2*o - 1 + 3*o**2. Let r(c) = 0. What is c?
1, 3
Let m(h) be the second derivative of -1/60*h**5 - 7*h**2 + 0 + 5/24*h**4 - 2/3*h**3 + 22*h. Let q(j) be the first derivative of m(j). Factor q(f).
-(f - 4)*(f - 1)
Let f(z) be the third derivative of 17/12*z**4 + 0 - 1/30*z**5 + 0*z + 84*z**2 + 0*z**3. Factor f(r).
-2*r*(r - 17)
Let l(w) be the first derivative of 4*w**3/3 - 326*w**2 + 3160*w + 1946. Find q, given that l(q) = 0.
5, 158
Let p(a) be the second derivative of -a**6/75 - 31*a**5/50 - 28*a**4/3 - 196*a**3/5 + 2271*a. Factor p(i).
-2*i*(i + 3)*(i + 14)**2/5
Let y(n) be the second derivative of n**6/30 - 13*n**5/10 - 38*n**4 - 6371*n - 1. Find v, given that y(v) = 0.
-12, 0, 38
Let n be ((-264)/(-24) - 11)/(-1). Let z(g) be the second derivative of 0*g**3 + 0*g**2 + n - 1/5*g**4 + 1/25*g**5 - 13*g. Suppose z(q) = 0. What is q?
0, 3
Suppose -5*c = 5*z - 594 + 529, 0 = -5*c + 3*z - 23. Factor -4/3 + 2/9*y**c + 2/9*y.
2*(y - 2)*(y + 3)/9
Let o(h) = h**3 + 13*h**2 + 4*h + 53. Let n be o(-13). Let c(f) = f**2 + 6*f - 5. Let z be c(n). Factor 0*g - 3/2 + 3/2*g**z.
3*(g - 1)*(g + 1)/2
Suppose 42*g**2 + 91*g**2 - 8540*g + 41*g**2 - 179*g**2 - 3646580 = 0. Calculate g.
-854
Let h = -8/217 + 337/3255. Let a(g) be the second derivative of 0*g**2 + 0 + h*g**5 + 5/9*g**4 + 17*g + 0*g**3. Factor a(r).
4*r**2*(r + 5)/3
Let g = 68453 + -342251/5. Solve g*q + 1/5*q**2 + 13/5 = 0 for q.
-13, -1
Let m = 3112/3 - 1036. Let l(o) be the first derivative of -19 + 1/6*o**4 - 2/15*o**5 - 16/3*o - 4/3*o**2 + m*o**3. Determine r, given that l(r) = 0.
-2, -1, 2
Let z(j) = -10*j - 22. Let h(l) = 2*l - 1. Let u(k) = -6*h(k) - 2*z(k). Let p be u(-6). Factor -2/13*t**3 + 8/13*t**p - 8/13 + 2/13*t.
-2*(t - 4)*(t - 1)*(t + 1)/13
Let g(i) = i**2 - 10*i - 14. Let r be g(6). Let h = r + 42. Determine f so that 0 - 6*f**3 + 20*f**h - 23*f**4 + 6*f + 3 = 0.
-1, 1
Let c(x) = x**2 + 354*x + 12837. Let j be c(-41). Suppose -2*m - 2*m = 0. Factor 0*g + m - 1/9*g**2 - 2/9*g**3 - 1/9*g**j.
-g**2*(g + 1)**2/9
Suppose 3*g = 3*j - 2*g - 19, -5*g = -j + 13. Let u be (j + -2)*16 - (1 - -2). Factor -8*b + 4*b**2 + 13*b - u*b.
4*b*(b - 2)
Factor 0*t - 42050/21*t**3 + 0 - 2/21*t**5 + 580/21*t**4 + 0*t**2.
-2*t**3*(t - 145)**2/21
Let z(q) = -51*q**3 + 413*q**2 + 248*q + 36. Let s(w) = w**3 - 54 + 54 - 2*w**3. Let t(x) = -2*s(x) + z(x). Factor t(m).
-(m - 9)*(7*m + 2)**2
Let t(z) be the third derivative of -z**6/90 - 7*z**5/30 - 37*z**3/6 - 34*z**2. Let y(f) be the first derivative of t(f). Factor y(q).
-4*q*(q + 7)
Let z(g) be the first derivative of g**8/24 - 2*g**7/7 + 2*g**6/15 + 75*g**2/2 + 8. Let s(c) be the second derivative of z(c). Solve s(w) = 0.
0, 2/7, 4
Let p be (1964/(-1) - 0)/((-39)/78). Let z = p + -35312/9. Factor z*s + 14/9*s**3 + 8/9 + 46/9*s**2.
2*(s + 1)*(s + 2)*(7*s + 2)/9
Let v(o) = -o**2 + 4*o - 2. Let j be v(4). Let n be j + 1 + (3 - 0). Suppose 12 + 29*w**n - 7*w**2 - 40*w - 18*w**2 + 88 = 0. Calculate w.
5
Let o = -1203 - -1354. Suppose -11*s = -o + 118. Let 3/10*b**4 + 1/5*b + 0 - 1/10*b**5 - 1/10*b**s - 3/10*b**2 = 0. Calculate b.
-1, 0, 1, 2
Let o(x) be the third derivative of -2 + 0*x**3 + 1/945*x**7 + x**2 + 0*x**5 + 0*x**4 + 0*x - 1/540*x**6. Suppose o(c) = 0. What is c?
0, 1
Let c(u) be the first derivative of -u**4/6 - 134*u**3/9 - 371*u**2/3 - 610*u/3 + 2999. Solve c(g) = 0.
-61, -5, -1
Let s(j) be the second derivative of j**6/12 - 5*j**5/8 + 5*j**4/3 - 5*j**3/3 - 1237*j. Determine x, given that s(x) = 0.
0, 1, 2
Let h = 4 + -1. Suppose 0 = -54*x + 24*x + 36*x + 99*x. Factor -d**2 + 1/2*d**4 + 1/2 + 0*d**h + x*d.
(d - 1)**2*(d + 1)**2/2
Suppose 61 = -5*u + 81. Let h(c) be the first derivative of 4*c**2 + 0*c - 13 + 14/3*c**6 + 27*c**u + 52/3*c**3 + 92/5*c**5. Factor h(q).
4*q*(q + 1)**3*(7*q + 2)
Let w be 0 + 6*(-5)/(-30) - (-1 + -3). Let n(y) be the first derivative of -2/3*y**3 - 6 - 1/3*y**4 + 2/15*y**w - 8/3*y + 8/3*y**2. Factor n(g).
2*(g - 2)*(g - 1)**2*(g + 2)/3
Let i(d) be the third derivative of -d**7/945 + 13*d**6/180 + 41*d**5/270 - 13*d**4/36 - 40*d**3/27 - 5058*d**2. What is y in i(y) = 0?
-1, 1, 40
Let p be 22/11*((-2)/3 + (20 - 7) + -12). Let -p*z**4 - 2 + 4/3*z**3 + 8/3*z**2 - 4/3*z = 0. Calculate z.
-1, 1, 3
Solve -434/9*m**2 + 8/9*m**5 - 28/9 + 22*m - 46/3*m**4 + 394/9*m**3 = 0 for m.
1/4, 1, 14
Suppose -567 = -433*l + 299. Find s, given that -2/3*s**3 + 8/3*s + 2*s**l + 0 = 0.
-1, 0, 4
Suppose -27*f = -31*f + 108. Let j be -1 + (-1 - -3) - f/81. Factor 1 - j*p**3 - 5/3*p**2 + 4/3*p.
-(p - 1)*(p + 3)*(2*p + 1)/3
Let k = -422039/3 + 140680. Factor -14/3 - k*x**2 + 5*x.
-(