p + 3*k = -3 - 15. Find g, given that -11*g**2 + 1 + 3*g - 2*g**3 + 32*g**2 - g**5 - 19*g**2 - p*g**4 = 0.
-1, 1
Let i(j) = 21*j. Let x be 4/(12/9) + -2. Let a be i(x). What is p in -4 - 42*p**3 - 20 - 14*p**3 + 18*p**2 + 84*p + a*p**4 - 13*p**3 = 0?
-1, 2/7, 2
Let s(j) be the first derivative of -j**6/12 + 9*j**5/10 - 7*j**4/4 - 17*j**3/3 + 15*j**2/4 + 25*j/2 - 226. Solve s(r) = 0.
-1, 1, 5
Let i = -76 + 82. Solve 6*l + 1 - 36*l - i - 25*l**2 = 0 for l.
-1, -1/5
Let q(l) be the first derivative of -l**6/10 + 3*l**5/25 + 63*l**4/20 - 41*l**3/5 + 6*l**2 + 13. Solve q(g) = 0 for g.
-5, 0, 1, 4
Let y(f) be the second derivative of -f**4/30 + 19*f**3/15 - 136*f. Factor y(s).
-2*s*(s - 19)/5
Suppose -44 = 118*v - 140*v. Let -2*h + 4/3*h**v + 2/3 = 0. What is h?
1/2, 1
Let b(t) = 6 - t**2 + 9*t - 14 - 5. Let k(y) = -y**2 + 5*y - 7. Let d be (-27)/(-6)*12/(-9). Let o(s) = d*b(s) + 10*k(s). Determine w, given that o(w) = 0.
-2, 1
Let w = -122 + 113. Let g be ((-56)/21)/(42/w). Let 2/7*i**4 - g*i**3 + 0*i**2 - 2/7 + 4/7*i = 0. What is i?
-1, 1
Let h(z) be the first derivative of -12/5*z**5 + 16*z**3 + 0*z - 8*z**4 - 2 + 3/2*z**6 - 8*z**2. What is c in h(c) = 0?
-2, 0, 2/3, 2
Let i(z) be the first derivative of -9*z**4/4 - 26*z**3 - 183*z**2/2 - 90*z - 215. Determine u so that i(u) = 0.
-5, -3, -2/3
Let w(z) be the first derivative of -29791*z**4/2 + 19220*z**3 - 9300*z**2 + 2000*z - 388. Suppose w(d) = 0. Calculate d.
10/31
Factor 2/7*l**3 + 88/7*l**2 + 252 + 150*l.
2*(l + 2)*(l + 21)**2/7
Let r = -12 + 16. Suppose 2*w - r = -0. Find g such that -26*g**3 - 8*g**w + 2*g - 12*g**2 - 6*g - 2*g**2 - 8*g**4 = 0.
-2, -1, -1/4, 0
Find n, given that 4/5*n**5 + 0 + 16*n**2 + 44/5*n**3 + 0*n - 32/5*n**4 = 0.
-1, 0, 4, 5
Factor -2/11*q**3 + 0 + 8/11*q + 2/11*q**4 - 8/11*q**2.
2*q*(q - 2)*(q - 1)*(q + 2)/11
Find x such that -3*x**3 + 2*x**2 + 2*x**4 - 50*x**2 - 17*x**3 - 14 + x**4 - 44*x - 5*x**4 = 0.
-7, -1
Let n be 5*(-28)/35 - -8. Let b(y) be the second derivative of -7/18*y**n + 2*y - y**3 + 0 - 2/3*y**2. Let b(a) = 0. Calculate a.
-1, -2/7
Find r, given that 211*r**5 + 4*r**4 - 106*r**5 - 2*r**3 - 103*r**5 - 4*r**2 = 0.
-2, -1, 0, 1
Let n(d) = 38*d + 2092. Let l be n(-55). Factor 10/11*f - 48/11*f**l - 126/11*f**3 + 4/11.
-2*(3*f + 1)**2*(7*f - 2)/11
Let y(m) be the third derivative of -5*m**9/3024 + m**7/168 - m**3/2 - 7*m**2. Let k(a) be the first derivative of y(a). Factor k(q).
-5*q**3*(q - 1)*(q + 1)
Let f(u) be the first derivative of -4*u**3/3 - 20*u**2 - 36*u + 1. Find p, given that f(p) = 0.
-9, -1
Let x be (-5)/((-625)/(-10))*5/(-6). Let j(v) be the second derivative of -5/6*v**4 + 2/5*v**5 + 0*v**2 + 2/3*v**3 - x*v**6 + 0 - 3*v. Factor j(g).
-2*g*(g - 2)*(g - 1)**2
Let f(n) be the first derivative of -n**6/480 + n**2 + 2. Let r(b) be the second derivative of f(b). Factor r(t).
-t**3/4
Let y(a) = -a**2 + 5*a + 355. Let q be y(0). Let h = q - 3897/11. Determine n, given that -h + 10/11*n**3 + 26/11*n**2 + 8/11*n = 0.
-2, -1, 2/5
Let q be (-77)/(-11)*18/42. Find v, given that -2*v**q + 0 - 2/3*v**4 + 0*v - 4/3*v**2 = 0.
-2, -1, 0
Let y(h) = -31*h + 1028. Let u be y(33). Let g(r) be the first derivative of -1/21*r**6 - 13 + 8/35*r**u + 0*r + 0*r**2 + 0*r**3 - 2/7*r**4. Factor g(z).
-2*z**3*(z - 2)**2/7
Factor 20/7 - 12/7*f**2 - 6/7*f - 2/7*f**3.
-2*(f - 1)*(f + 2)*(f + 5)/7
Let u(y) = 3*y**2 + 87*y + 237. Let t be u(-3). Let -6/7*m**t + 6/7*m - 9/7 - 3/7*m**4 + 12/7*m**2 = 0. What is m?
-3, -1, 1
Let y(d) = d. Let p(b) be the third derivative of -b**6/120 + b**4/4 - 19*b**2. Let v(q) = 2*p(q) - 10*y(q). Factor v(j).
-2*j*(j - 1)*(j + 1)
Let n(m) be the first derivative of -18 - 14*m**4 - 24/5*m**5 - 8*m - 64/3*m**3 - 18*m**2 - 2/3*m**6. Factor n(o).
-4*(o + 1)**4*(o + 2)
Suppose 0 = 239*a + 197 - 354 - 560. Solve 2/19*r**a + 0 + 0*r**2 + 0*r = 0 for r.
0
Let y(h) be the second derivative of h**5/5 + 16*h**4/3 + 98*h**3/3 - 132*h**2 - h - 526. Find z, given that y(z) = 0.
-11, -6, 1
Suppose 0 - 3/2*f**2 + 51/2*f = 0. What is f?
0, 17
Let d = 16137028/34293 + -32282/69. Let a = d - 30/71. Factor 0 + a*u**2 + 10/7*u**3 + 8/7*u + 2/7*u**4.
2*u*(u + 1)*(u + 2)**2/7
Let u(s) = s**3 - 3*s**2 - 3*s + 3. Let q be u(0). Let v(h) be the first derivative of 2/3*h**6 + 4 + 0*h**q + 8/5*h**5 + h**4 + 0*h**2 + 0*h. Factor v(o).
4*o**3*(o + 1)**2
Factor -5/4*b + 1/4*b**2 - 3/2.
(b - 6)*(b + 1)/4
Determine h, given that -274*h - 4*h**2 - 16245 - 4*h**2 + 3*h**2 - 296*h = 0.
-57
Let v = -807 - -811. Factor -216*r - 32/3*r**v - 12*r**2 - 144 + 146/3*r**3 + 2/3*r**5.
2*(r - 6)**3*(r + 1)**2/3
Let l(p) = -10*p**3 - 3*p**2 + 133*p - 40. Let f(q) = -62*q**3 - 16*q**2 + 797*q - 238. Let z(a) = 6*f(a) - 39*l(a). Factor z(v).
3*(v - 4)*(2*v + 11)*(3*v - 1)
Suppose 5*m - 12 = 8, x + 5*m - 22 = 0. Factor 114*f**3 - 122*f**3 + f**x + 3*f**2 - f**4 - 4*f**4.
-f**2*(f + 2)*(5*f - 2)
Factor -2/9*x**4 + 14/9*x**3 - 32/9*x - 16/9*x**2 + 0.
-2*x*(x - 4)**2*(x + 1)/9
Let c(l) = 4*l**3 + 40*l**2 - 8*l - 48. Let s(b) = 4*b**3 + 41*b**2 - 9*b - 51. Let d(n) = 5*c(n) - 4*s(n). Suppose d(x) = 0. Calculate x.
-9, -1, 1
Solve -185*p - 6845/2 - 5/2*p**2 = 0 for p.
-37
Suppose 46*d - 62 = -62. What is c in c**2 + d*c + 1/2*c**3 + 0 = 0?
-2, 0
Let d = -324415/9 + 36047. Factor d*q + 2/9*q**3 + 0 - 10/9*q**2.
2*q*(q - 4)*(q - 1)/9
Let c(u) be the third derivative of 2*u**2 - 19/15*u**5 + 0 + 0*u - 4/3*u**4 + 8/3*u**3 - 7/30*u**6. Factor c(x).
-4*(x + 1)*(x + 2)*(7*x - 2)
Suppose 5*t - 3*k = -5*k + 18, 0 = -2*t - 3*k + 5. Suppose 1/2*h**5 + 3*h**3 - 7/2*h + h**2 + 3/2 - 5/2*h**t = 0. What is h?
-1, 1, 3
Let a(c) be the third derivative of c**6/24 + c**5/12 - 5*c**4/12 + 4*c**2 - 8. Factor a(j).
5*j*(j - 1)*(j + 2)
Let n(d) be the first derivative of 16 + 3/7*d**2 + 8/35*d**5 + 2/7*d - 10/21*d**3 - 3/14*d**4. Find z, given that n(z) = 0.
-1, -1/4, 1
Suppose -h + 9 = -5*w + 29, -10 = -5*w - h. Let i**2 + i**w + 2*i**4 + 2*i**3 + 3*i**3 + 3*i**2 = 0. Calculate i.
-2, -1, 0
Let t(f) be the third derivative of 0 + 25/3*f**3 + 0*f + 2*f**2 - 5/8*f**4 - 1/12*f**5. Factor t(g).
-5*(g - 2)*(g + 5)
Solve 6*s**2 + 12*s**3 - 19*s + 11 + 13 - 21*s + 54314*s**4 - 54316*s**4 = 0 for s.
-2, 1, 6
Suppose 0 = -2*a + 5*y + 1938, -3*y - 442 + 2396 = 2*a. Suppose -a + 491 + 57*o**4 - 4*o**2 + 28*o**5 + 483 = 0. Calculate o.
-2, -2/7, 0, 1/4
Let k(l) = 100*l**3 + 1186*l**2 + 902*l + 176. Let f(i) = -100*i**3 - 1185*i**2 - 901*i - 176. Let p(d) = 6*f(d) + 5*k(d). Let p(t) = 0. Calculate t.
-11, -2/5
Let c(r) be the first derivative of r**3/24 + 11*r**2/16 - 762. Factor c(f).
f*(f + 11)/8
Suppose 0 = -4*q - o + 4, 20 = 4*q + 5*o. Let j(u) be the second derivative of 0 + 2*u + 1/70*u**5 + q*u**2 - 2/21*u**3 - 1/42*u**4. Factor j(f).
2*f*(f - 2)*(f + 1)/7
Let t be 918/(-243) - (-3)/((-9)/(-12)). Factor 2 + t*i**3 + 38/9*i + 22/9*i**2.
2*(i + 1)**2*(i + 9)/9
Let c(u) be the second derivative of u**4/36 + 173*u**3/9 + 29929*u**2/6 - 4*u - 3. What is h in c(h) = 0?
-173
Suppose -11*j + 13*j = 4. Factor j + 15*w**3 + 35*w**2 + 10*w - 7 + 15*w + 10.
5*(w + 1)**2*(3*w + 1)
Let v(r) be the second derivative of 7*r**6/195 - 4*r**5/13 + 5*r**4/6 - 20*r**3/39 - 12*r**2/13 - 12*r - 9. Find t such that v(t) = 0.
-2/7, 1, 2, 3
Factor -4455 + 104 - 19*m**2 + 310*m - 454 + 14*m**2.
-5*(m - 31)**2
Let s(t) be the third derivative of 0*t**3 - 1/8*t**4 + 0*t + 3*t**2 + 0 + 1/10*t**5 - 1/40*t**6. Factor s(z).
-3*z*(z - 1)**2
Let d = -190576/85 + 2242. Let n = d - -212/595. Factor 2/7*r**3 + 0*r**2 - n*r + 0.
2*r*(r - 1)*(r + 1)/7
Let v(h) be the third derivative of 0 - 1/90*h**5 + 0*h + 0*h**3 + 1/540*h**6 + 0*h**4 + 23*h**2. What is b in v(b) = 0?
0, 3
Let l(p) be the second derivative of 0*p**2 + 0 + 1/5*p**5 - 2/21*p**7 + 2/15*p**6 - 1/3*p**4 - 9*p + 0*p**3. Factor l(q).
-4*q**2*(q - 1)**2*(q + 1)
Let z be ((-108)/52 - -2)*3161. Let r = -243 - z. Find q such that -2/13 - 2/13*q + 2/13*q**3 + r*q**2 = 0.
-1, 1
Let u(b) = 7*b**2 - 944*b + 74892. Let p(o) = 27*o**2 - 3777*o + 299568. Let g(w) = -4*p(w) + 15*u(w). Factor g(m).
-3*(m - 158)**2
Let r(z) be the first derivative of 0*z**4 + 2/3*z - 15 + 0*z**2 - 4/9*z**3 + 2/15*z**5. Let r(v) = 0. What is v?
-1, 1
Let p(m) be the second derivative of 3*m - 1/10*m**6 - 2*m**3 - 12*m**2 + 3/2*m*