ven that -2/5*k**3 + 2/5*k**q + 2/5*k**4 - 2/5*k**2 + 0*k + p = 0.
-1, 0, 1
Let a(v) be the first derivative of -v**3/6 + v**2/4 + 6*v + 68. Determine i, given that a(i) = 0.
-3, 4
Let q be (-1)/(7/2)*(-7)/1. Let s(z) be the first derivative of 1/6*z**4 + 2/3*z**3 - 6 + 2/3*z**q + 0*z. Suppose s(a) = 0. Calculate a.
-2, -1, 0
Suppose -2 = w - 4. Determine u so that 5*u**2 + 5*u + 11*u**w + 5*u**3 - 6*u**2 = 0.
-1, 0
Let z be 1 - -4 - 59/(-143)*-11. Factor 2/13*b**2 - z*b - 8/13.
2*(b - 4)*(b + 1)/13
Let c(i) = -50*i**2 + 4387*i - 397507. Let s(p) = 16*p**2 - 1462*p + 132502. Let q(n) = 6*c(n) + 19*s(n). Factor q(t).
4*(t - 182)**2
Let -12*g**4 - 2688*g - 8*g**5 + 118*g**2 + 4*g**5 - 3*g**3 + 2304 + 195*g**3 + 90*g**2 = 0. Calculate g.
-6, 1, 4
Suppose 0*x = 3*c + 3*x + 12, x + 5 = 0. Let q(v) = -v**4 + v**2 - 2. Let b(g) = -g**3 - g**2 + 1. Let r(k) = c*q(k) + 2*b(k). Let r(f) = 0. What is f?
-1, 0
Suppose -n + 2 - 8 = 0. Let z(b) = b**2 + 3*b - 14. Let d be z(n). Suppose -3 + 3*g**4 + 12*g**3 + 6 - d*g + 18*g**2 + 16*g = 0. What is g?
-1
Suppose -11*j + 3256 = -9*j. Let 3*q**2 - 12*q - 1628 + j = 0. What is q?
0, 4
Let f(h) = -447*h + 1343. Let p be f(3). Determine t, given that -8/3 + 2/3*t**4 + 8/3*t + p*t**2 - 8/3*t**3 = 0.
-1, 1, 2
Let b = 5505/8 + -685. Factor -1/8*l**2 + 5/4*l - b.
-(l - 5)**2/8
Suppose 31*j - 14482 = -14420. Solve 0*d + 4/9*d**j - 2/9*d**4 + 0*d**3 - 2/9 = 0 for d.
-1, 1
Let q = -958 + 8644/9. Let s = -17/18 + q. What is j in 3/2*j + 3/8*j**2 + s = 0?
-2
Let r be ((-1496)/(-1452))/((-2)/(-9)) + -1. Find z, given that -18/11*z**3 - r*z - 8/11 - 54/11*z**2 = 0.
-2, -2/3, -1/3
Let r(s) be the second derivative of 4/5*s**2 + 2/15*s**3 - 1/15*s**4 + 4*s + 0. Factor r(n).
-4*(n - 2)*(n + 1)/5
Suppose 28 - 7 = 7*j. Find x, given that -75*x**2 - 1 - 22*x - 11 + j*x**5 + 70*x + 57*x**3 - 21*x**4 = 0.
1, 2
Let p(a) be the third derivative of 0 + 9*a**2 + 1/20*a**5 - 2/3*a**3 + 0*a + 1/6*a**4. Factor p(w).
(w + 2)*(3*w - 2)
Let k(x) be the third derivative of 1/240*x**5 + 0*x**3 + 0*x + 1/192*x**4 - x**2 + 0 + 1/960*x**6. Suppose k(o) = 0. Calculate o.
-1, 0
Let c(k) be the second derivative of k**4/16 - 5*k**3/8 + 9*k**2/4 + 71*k. Factor c(b).
3*(b - 3)*(b - 2)/4
Suppose 2*s = 21 - 15. Let t(x) = -x**3 + 2*x**2 + 36*x + 3. Let z be t(7). Solve 40*b + 350/3*b**4 - z*b**s - 244/3*b**2 - 16/3 = 0 for b.
-1, 2/7, 2/5
Let a(b) = 8*b**2 - 2*b - 2. Let o be a(-1). Solve 5*v**3 - v**4 + o + 5*v**2 - 3*v**2 - 4*v - 8*v**2 = 0 for v.
-1, 2
Suppose -19 = 2*q - 3. Let b be 766/8 + q/(-32). Let -6*c + 96 - b - 3*c**2 = 0. What is c?
-2, 0
Let k(s) be the first derivative of 0*s**2 - 1/15*s**3 + 3/20*s**4 + 0*s + 13 + 1/30*s**6 - 3/25*s**5. Factor k(a).
a**2*(a - 1)**3/5
Let g be -2 + (-100 - (2 + 0)). Let d = g - -522/5. Factor 2/5*n - d*n**3 - 2/5*n**4 + 2/5*n**2 + 0.
-2*n*(n - 1)*(n + 1)**2/5
Let x(h) be the first derivative of -2*h**3/21 + 9*h**2/7 + 72*h/7 + 558. Factor x(k).
-2*(k - 12)*(k + 3)/7
Let k(o) = o**2 + 1. Let z(x) = 3*x**3 + 84*x**2 + 168*x - 6. Let m(j) = -6*k(j) - z(j). Find l such that m(l) = 0.
-28, -2, 0
Let b be (-4 + 0 + 1)*4/(-3). Factor 2*x**4 - 2*x**3 - 4*x**b + 9*x**2 - x**2 + 2*x**2 - 6*x.
-2*x*(x - 1)**2*(x + 3)
Suppose 0*q = -2*q + 28. Let r = q - 10. Let 0*x**3 + 3*x**4 + 4*x**2 - 2*x**3 - 5*x**r = 0. Calculate x.
-2, 0, 1
Let v = 519 - 519. Suppose 0*l**2 + v - 2/7*l**3 + 2/7*l = 0. What is l?
-1, 0, 1
Let p(a) be the second derivative of -a**9/15120 + a**8/1344 - a**7/630 - 11*a**4/12 + a**3/2 - 2*a + 18. Let t(r) be the third derivative of p(r). Factor t(m).
-m**2*(m - 4)*(m - 1)
Let n(u) = u - 4. Let t be n(6). Suppose t*g = -b + 17, 2*g + 20 + 5 = 5*b. Suppose -2*y**2 + 2 - b*y + 7*y = 0. What is y?
-1, 1
Let m = 50329/1302 + 5/434. Suppose 16/3*t**4 + m*t**3 + 184/3*t + 84*t**2 + 32/3 = 0. What is t?
-4, -2, -1, -1/4
Let n(t) be the third derivative of 0*t**5 - 3/160*t**6 - 2 + 1/8*t**4 + 0*t**3 + 0*t + t**2 + 1/280*t**7. Factor n(c).
3*c*(c - 2)**2*(c + 1)/4
Let v(g) be the first derivative of 4*g**5/35 - 2*g**4/7 - 4*g**3/7 + 16*g**2/7 - 16*g/7 - 208. Factor v(r).
4*(r - 2)*(r - 1)**2*(r + 2)/7
Let g be (-7)/21 + (-9)/(-27). Let j(l) be the third derivative of g*l + 0*l**6 + 0*l**5 + 1/210*l**7 + 0*l**3 + 0 + 0*l**4 - 1/672*l**8 + l**2. Factor j(s).
-s**4*(s - 2)/2
Suppose -40/9*c + 0 + 1/9*c**3 + 2/3*c**2 = 0. Calculate c.
-10, 0, 4
Let l(z) = z**2 - 48*z - 868. Let h be l(62). Let 6/7*b**2 + 9/7*b**3 + 0*b + h + 3/7*b**4 = 0. What is b?
-2, -1, 0
Suppose 11/2*n**3 + 0 + 13/2*n**4 - n**2 + 0*n = 0. Calculate n.
-1, 0, 2/13
Let v(j) be the first derivative of -j**3/6 + 9*j**2 - 178. Factor v(c).
-c*(c - 36)/2
Let h be ((-1)/(5/4))/(1830/(-1525)). Let 0 - 8/9*u + h*u**3 - 8/9*u**2 = 0. What is u?
-2/3, 0, 2
Let m be -91 + -1 + (-9 - (-7 + 2)). Let w = m - -98. Factor 4/9*n**w + 0 - 2/9*n**3 + 0*n.
-2*n**2*(n - 2)/9
Suppose -7*b + 16 = 2. Factor -27*c**2 + 75*c**2 - 27*c**b - 6*c - 23*c**2.
-2*c*(c + 3)
Let f be 4 - ((-288)/(-28))/(-3). Let m = f - 187/28. Suppose 3/2*u + 3/4*u**2 + m = 0. What is u?
-1
Let d(w) be the second derivative of w**5/70 + 2*w**4/7 + 12*w**3/7 + 148*w. Factor d(m).
2*m*(m + 6)**2/7
Find u such that 3*u**2 + 11 + 3 + 12 + 13*u - 2 - 62 = 0.
-19/3, 2
Let v(j) be the second derivative of -3/20*j**5 + 0 - 22*j + 1/2*j**3 - j**2 + 1/30*j**6 + 1/12*j**4. Determine z so that v(z) = 0.
-1, 1, 2
Let n(l) be the third derivative of -l**7/105 - l**6/60 + l**5/5 + l**4/3 - 8*l**3/3 - 10*l**2 + 1. Solve n(d) = 0.
-2, 1, 2
Suppose 2*w = -t - 2*t + 45, 51 = 2*w + 5*t. Suppose 0 = b + h - 5*h, -4*b + w = 2*h. Solve -27*x**b + 21*x**4 + 10*x**3 - 2*x + 0*x**3 - 2*x**2 = 0 for x.
-1/3, 0, 1
Let o(g) be the second derivative of g**5/4 + 5*g**4/3 - 25*g**3/6 - 3*g + 5. Determine a so that o(a) = 0.
-5, 0, 1
Let n = -31 - -33. Suppose -4*r = -9*r + 50. Factor 3*w - w + 0*w**2 - 8*w**3 - 6*w + 2*w**4 + r*w**n.
2*w*(w - 2)*(w - 1)**2
Let a = -26 + 71. Find z such that -14 + 56*z + a*z + 5*z**3 - 76 - 40*z**2 + 4*z = 0.
2, 3
Factor -2/13*p**2 + 14/13*p + 16/13.
-2*(p - 8)*(p + 1)/13
Suppose -5 = -x - 3. Suppose -2*h - 2*i + 12 = 0, 7 = -5*h + i + 13. What is t in -5*t**x - 3*t**h + 3*t + t + 4*t**2 = 0?
0, 1
Let u = -7415 + 96403/13. Factor 12/13*q**2 + 2/13*q**4 + u*q**3 + 8/13*q + 2/13.
2*(q + 1)**4/13
Suppose -5*r - m + 8 = 3*m, 2*m = -4*r + 4. Let a(k) be the first derivative of -3 - 63/10*k**4 - 8/15*k**3 + r*k + 4/5*k**2. Solve a(v) = 0.
-2/7, 0, 2/9
Let j(c) = -10*c**2 + 2. Let k(m) = -m**3 - 10*m**2 + 3. Let v(p) = -3*j(p) + 2*k(p). Let v(h) = 0. Calculate h.
0, 5
Let b = -9683/5 - -1937. Factor b*w**2 + 8/5*w + 6/5.
2*(w + 1)*(w + 3)/5
Suppose -7*j + 4*j - 3*c + 21 = 0, 4*c = 3*j. Factor -g**3 - 1/2*g**2 + 0 + 3/2*g**j + 0*g.
g**2*(g - 1)*(3*g + 1)/2
Let d(f) be the second derivative of -f**4/3 - 2*f**3/3 - f**2 + 14*f. Let o(b) = -13*b**2 - 12*b - 6. Let r(q) = 7*d(q) - 2*o(q). Solve r(w) = 0.
-1
Let o be 10/35 + (26/7 - 2). Let p(v) be the first derivative of 0*v - 4/3*v**3 + 5/2*v**4 - 5 + 0*v**o + 14/5*v**5. Factor p(h).
2*h**2*(h + 1)*(7*h - 2)
Let u(k) be the third derivative of 121*k**6/30 + 209*k**5/15 + 52*k**4/3 + 32*k**3/3 - k**2 + 28*k. Determine g so that u(g) = 0.
-1, -4/11
Let q be (4 + (-36)/8)*85. Let h = 44 + q. Let -h*i - 3/2*i**3 + 3*i**2 + 0 = 0. What is i?
0, 1
Let k be (-2 + 1/(-3))/((25 + -39)/28). Let 8/3 + k*g - 4/3*g**2 = 0. Calculate g.
-1/2, 4
Let k be (90/18 - (-46)/(-8)) + (-264)/(-96). Suppose 4*f - 2/11*f**k - 22 = 0. What is f?
11
Let z(h) be the second derivative of -7/3*h**3 - 6*h**2 - 1/6*h**4 - 17*h + 0. Factor z(a).
-2*(a + 1)*(a + 6)
Let l(z) be the second derivative of -1/24*z**4 + 0 - 1/12*z**3 - 12*z + 0*z**2. Factor l(v).
-v*(v + 1)/2
Determine d, given that -3*d - 3*d**2 + 3*d**3 + 13*d**2 - 13*d**2 + 3 = 0.
-1, 1
Suppose 0 = 14*l - 15*l. Let w be l - (3 + 4 + -9). Find c such that 2 + 8*c + 2*c**w + 0 - 12*c = 0.
1
Let q(m) = 37*m**2 - 5*m + 2. Let x be q(2). Factor 11*j**2 - 41*j**2 - 143*j**5 + 9*j**3 - 24*j**2 + 12*j**4 + x*j**5.
-3*j**2*(j - 3)**2*(j + 2)
Let h(n) = 2*n**2 - 6*n + 8. Let f(r) = -r. Let t be 3*(5/(-3) + 2). Let y(s) = t*h(s) + 2*f(s). Factor y(c).
2*(c - 2)**2
Let v(c) be the first derivative of 0*c - 2/3*c**3 + 24 + 2/5*c