1)*(x + 2)**2/5
Let a(w) = 2*w**2 - 12*w - 17. Let m(o) = -4*o**2 + 22*o + 35. Let s(z) = -10*a(z) - 6*m(z). Suppose s(y) = 0. Calculate y.
-2, 5
Let k(p) be the first derivative of -13*p**6/90 + p**5/15 - 3*p**3 + 37. Let l(b) be the third derivative of k(b). Suppose l(s) = 0. What is s?
0, 2/13
Find q, given that 0*q + 1/2*q**4 + 0*q**2 - 1/6*q**5 + 2/3*q**3 + 0 = 0.
-1, 0, 4
Suppose -58 = -3*v + 143. Let d = 70 - v. Factor 1/2*w**2 - 1/2*w**d + 0 + 0*w.
-w**2*(w - 1)/2
Let g(b) = -3*b**4 + 28*b**3 - 70*b**2 + 66*b - 21. Let w(n) = 6*n**4 - 55*n**3 + 139*n**2 - 132*n + 42. Let p(o) = -5*g(o) - 2*w(o). Factor p(s).
3*(s - 7)*(s - 1)**3
Solve -3 - 2*u**2 - 8*u + 11 + 2 + 0*u = 0.
-5, 1
Let o = 34350 - 34350. Factor 0 + o*f + 1/3*f**2.
f**2/3
Let l(t) be the first derivative of t**4/2 - 14*t**3 + 98. Factor l(s).
2*s**2*(s - 21)
Suppose 72*z - 53*z = 38. What is w in 6*w + 0 - 15/2*w**5 - 18*w**z + 18*w**4 + 3/2*w**3 = 0?
-1, 0, 2/5, 1, 2
Let d(w) be the first derivative of -1/2*w + 7/12*w**3 + 9/16*w**4 - 9/20*w**5 - 5/8*w**2 - 7. Find b, given that d(b) = 0.
-2/3, -1/3, 1
Let k(f) = f**3 + 5*f**2 + f - 3. Let l be k(-4). Factor l - 1 - 13*m + 5*m + 2*m**2 + 0*m**2.
2*(m - 2)**2
Suppose -5*z + 845 = -5*c - 0*z, -4*z - 12 = 0. Let r = 174 + c. Let -1/2 + o - 1/2*o**r = 0. What is o?
1
Let i(t) be the second derivative of -2/3*t**4 + 0 - 1/5*t**5 + 6*t + 0*t**3 + 1/5*t**6 + 2/21*t**7 + t**2. Factor i(f).
2*(f - 1)*(f + 1)**3*(2*f - 1)
Determine h so that -5622/5*h**3 - 2250 - 1/5*h**5 + 3315*h - 30*h**4 + 448/5*h**2 = 0.
-75, -2, 1
Let k be (-13)/((-364)/8) - 106/420. Let x(s) be the third derivative of -1/60*s**6 + 0*s + 0 + 0*s**3 + 1/6*s**4 + 2*s**2 + k*s**5. Find u such that x(u) = 0.
-1, 0, 2
Let t(a) = a**2 + 10*a - 8. Let o be t(-17). Let p = o - 109. Factor 0*c**p + 0 - 1/6*c**5 - 1/6*c**3 + 0*c + 1/3*c**4.
-c**3*(c - 1)**2/6
Let v(u) = -108*u**3 + 354*u**2 - 369*u + 123. Let w(g) = g**4 - 107*g**3 + 355*g**2 - 373*g + 124. Let m(r) = -4*v(r) + 3*w(r). Find l, given that m(l) = 0.
-40, 1
Let l(d) be the second derivative of -d**4/12 - 5*d**3/3 - 25*d**2/2 - 463*d. Factor l(o).
-(o + 5)**2
Let f(x) be the second derivative of x**6/15 - 4*x**5 + 133*x**4/2 + 40*x**3/3 - 400*x**2 + 203*x. Factor f(k).
2*(k - 20)**2*(k - 1)*(k + 1)
Let c(t) be the second derivative of 3*t**5/40 - 39*t**4/2 + 2028*t**3 - 105456*t**2 - 39*t + 2. Factor c(r).
3*(r - 52)**3/2
Let d(p) be the third derivative of -1/540*p**5 + 0*p + 4*p**2 - 1/108*p**4 - 1/54*p**3 + 0. Factor d(i).
-(i + 1)**2/9
Let o(s) be the second derivative of -5*s**8/336 + s**6/12 - 5*s**4/24 - 3*s**2 - 6*s. Let a(y) be the first derivative of o(y). Factor a(b).
-5*b*(b - 1)**2*(b + 1)**2
Let g be (-2 + 3 + -1)/1. Let b = 121 + -725/6. Solve -b*w**4 + 0 + 0*w**3 + g*w + 1/6*w**2 = 0.
-1, 0, 1
Let 8 - 15/2*s - 1/2*s**2 = 0. Calculate s.
-16, 1
Let a = 45 + -36. Let z = -4 + 6. Factor -3 - 12*c + 3*c**z + a*c + c**3 + 2*c**3 + 0*c**2.
3*(c - 1)*(c + 1)**2
Let a(k) be the first derivative of 12 + 21/16*k**4 + 1/2*k**2 + 29/12*k**3 - k. Factor a(z).
(z + 1)*(3*z + 2)*(7*z - 2)/4
Let d(k) be the third derivative of 0*k**3 + 1/100*k**5 + 24*k**2 + 0*k + 0*k**4 + 0. Factor d(m).
3*m**2/5
Let -7*c**4 + 0 + 47/9*c**2 + 7/9*c**3 - c**5 - 14/9*c = 0. Calculate c.
-7, -1, 0, 1/3, 2/3
Let t = 302 + -302. Let q(z) be the third derivative of 1/20*z**4 + 3/10*z**3 + 0 + 1/300*z**5 - 3*z**2 + t*z. Factor q(y).
(y + 3)**2/5
Let q(o) be the first derivative of -o**4 - 62*o**3/3 - 67*o**2 - 52*o - 686. Factor q(p).
-2*(p + 2)*(p + 13)*(2*p + 1)
Let q = -155 + 162. Let y(u) be the third derivative of 0*u**6 + 0*u**3 + 1/1344*u**8 - 1/420*u**q + 0*u**5 + 0*u - 3*u**2 + 0 + 0*u**4. Factor y(p).
p**4*(p - 2)/4
Factor 0*y + 0 + 3/4*y**4 + 3/4*y**2 - 3/2*y**3.
3*y**2*(y - 1)**2/4
Suppose 2*t = l - 5*l + 92, 160 = 3*t - 5*l. Factor 55 - 12*w**2 + 43 + 111*w + t - 175.
-3*(w - 9)*(4*w - 1)
Let c = 498 + -494. Let p(w) be the first derivative of -14/15*w**3 + 14/25*w**5 + 2/5*w**2 + 3/10*w**c + 4 - 1/3*w**6 + 0*w. Suppose p(o) = 0. Calculate o.
-1, 0, 2/5, 1
Let b(r) be the second derivative of 1/42*r**7 - 1/10*r**6 + 0*r**2 + 5*r + 0 + 1/10*r**5 + 0*r**3 + 0*r**4. Factor b(c).
c**3*(c - 2)*(c - 1)
Suppose 0 - 4/5*x - 2/5*x**2 = 0. Calculate x.
-2, 0
Factor -h**2 - h**2 - 16 - 1242*h + 635*h + 619*h.
-2*(h - 4)*(h - 2)
Let k(q) be the third derivative of 0*q**6 - 3*q**2 + 0 + 0*q - 1/15*q**3 + 2/45*q**4 - 1/75*q**5 + 1/1575*q**7. Factor k(w).
2*(w - 1)**3*(w + 3)/15
Let z(h) = 11*h**3 + 276*h**2 + 4889*h + 4624. Let n(j) = -6*j**3 - 138*j**2 - 2444*j - 2312. Let d(m) = 7*n(m) + 4*z(m). Determine g, given that d(g) = 0.
-34, -1
Let c(v) = -7*v**3 - 11*v. Let a(n) = -43*n**2 + 22*n**2 + 20*n**2 + n**3 - 1. Let b(j) = 30*a(j) + 5*c(j). Factor b(t).
-5*(t + 1)*(t + 2)*(t + 3)
Let h be (8/(-30))/(474/(-395)). Let o = 1/3 + 1/9. Factor 0 + h*q**3 + o*q**2 + 0*q - 2/3*q**4.
-2*q**2*(q - 1)*(3*q + 2)/9
Let k(q) = 4*q**2 + 67*q + 21. Let g(s) = s - 5. Let n(j) = 7*g(j) - k(j). Factor n(l).
-4*(l + 1)*(l + 14)
Let s(x) = x**3 + x**2 - 2*x + 8. Let v be s(0). Let u(h) be the second derivative of 0*h**3 + 8*h + 1/3*h**4 - v*h**2 + 0. Factor u(i).
4*(i - 2)*(i + 2)
Let i(b) be the third derivative of -b**6/10 - 7*b**5/30 + b**4/3 + 5*b**3/3 + 81*b**2. Factor i(r).
-2*(r + 1)**2*(6*r - 5)
Let g(k) = 3*k - 19. Let l be g(7). Suppose l*z + 2 = -2*j + 12, -22 = -5*z - 4*j. Factor z*y**2 + 31*y**4 + 3 - 4*y**3 - 29*y**4 - 3.
2*y**2*(y - 1)**2
What is i in 54/11*i**3 + 0 + 16/11*i - 2*i**4 - 50/11*i**2 + 2/11*i**5 = 0?
0, 1, 8
Let g(t) be the first derivative of 0*t + 0*t**2 - 3 + 2/9*t**3. Factor g(l).
2*l**2/3
Let v be (-5)/(18/9*(-1)/2). Let a(l) = l**3 - 7*l**2 + 11*l - 5. Let t be a(v). Solve t*j - 1/4*j**2 - 1/4*j**3 + 0 + 1/4*j**4 + 1/4*j**5 = 0 for j.
-1, 0, 1
Let g(r) be the third derivative of -1/420*r**6 + 0*r**3 + 5*r**2 - 1/735*r**7 + 1/84*r**4 + 0 + 1/210*r**5 + 0*r. Let g(h) = 0. What is h?
-1, 0, 1
Let l(x) be the third derivative of -5*x**8/1008 + x**7/63 + x**6/18 - x**5/18 - 5*x**4/24 - 53*x**2. What is o in l(o) = 0?
-1, 0, 1, 3
Let r(z) = z - 1. Let c(f) = -2*f - 4*f + 137 - f**2 - 3*f - 123. Let g(d) = -3*c(d) - 24*r(d). Solve g(s) = 0.
-3, 2
Let t(d) = 6*d + 45. Let o be t(-7). Factor 4*s**2 - 14 - o*s**3 - s + 31 - 17.
-s*(s - 1)*(3*s - 1)
Let t(a) be the second derivative of -a**5/15 - 5*a**4/4 - 6*a**3 + 18*a**2 + 206*a. Solve t(h) = 0 for h.
-6, 3/4
Let u(l) = -9*l**4 + 158*l**3 - 521*l**2 + 240*l + 141. Let b(g) = -g**4 - 2*g**3 - g**2 + 1. Let w(k) = -3*b(k) - u(k). Factor w(f).
4*(f - 6)**2*(f - 1)*(3*f + 1)
Let s = 8002/41 - 1794785/9184. Let n = 1/32 - s. Find c, given that -n*c**5 + 4/7*c**2 - 8/7*c**4 + 4/7 - 8/7*c**3 + 10/7*c = 0.
-2, -1, 1
Let f(t) be the first derivative of t**4/66 - 2*t**3/11 - t + 15. Let z(h) be the first derivative of f(h). Factor z(w).
2*w*(w - 6)/11
Let f(i) be the second derivative of i**6/1440 + i**5/480 - 5*i**3/3 + 10*i. Let v(u) be the second derivative of f(u). Factor v(w).
w*(w + 1)/4
Let f be 26*(-3)/12*2. Let o = f - -26. Factor 5*h**3 - 9*h + 0*h**4 + o*h - 8*h**2 - h**4.
-h*(h - 2)**2*(h - 1)
Let r(b) be the third derivative of -b**6/120 + b**5/12 + 13*b**4/24 + 7*b**3/6 + 124*b**2. Solve r(s) = 0.
-1, 7
Let y = 849/2 + -423. Let b(p) be the first derivative of -3/2*p + 3 + y*p**2 - 1/2*p**3. Factor b(z).
-3*(z - 1)**2/2
Let a(i) = -26*i**3 - 8*i**2 + 4*i + 30. Let y(m) = 25*m**3 + 9*m**2 - 3*m - 25. Let j(x) = -5*a(x) - 6*y(x). Factor j(h).
-2*h*(2*h + 1)*(5*h + 1)
Suppose -16 = -4*n + 16. Suppose 0 = -7*j + 5*j + n. Suppose -4*k + 8*k**2 - 4*k**3 + 0*k**3 + j*k**2 - 4*k**2 = 0. Calculate k.
0, 1
Factor -7*r**4 - r**4 - 3*r**4 + 12*r**4 + 15*r**2 + 7*r**3 + 13*r + 4.
(r + 1)**3*(r + 4)
Let a(z) be the first derivative of 0*z + 0*z**2 + 3/20*z**4 + 37 - 1/5*z**3 + 3/25*z**5 - 1/10*z**6. Suppose a(y) = 0. What is y?
-1, 0, 1
Let v = 16816 - 16811. Determine m so that 4*m + 8/3 - 2*m**4 - 1/3*m**v - 11/3*m**3 - 2/3*m**2 = 0.
-2, -1, 1
Let z(s) be the first derivative of s**3/12 - 3*s**2/8 + 29. Find r, given that z(r) = 0.
0, 3
Let n = 143 - 140. Let z(o) be the third derivative of 0*o**n - 1/240*o**5 + 1/48*o**4 + o**2 + 0 + 0*o. Suppose z(i) = 0. What is i?
0, 2
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