 u in w(u) = 0?
-2, 0
Let r(a) = 3*a**3 - 307*a**2 - 628*a - 318. Let c(s) = s**3 - s**2 + 2. Let f(z) = -c(z) - r(z). Solve f(h) = 0.
-1, 79
Let v(x) be the second derivative of 11/3*x**4 - 19/10*x**5 - 2*x**6 - 3/7*x**7 + 8*x**2 + 2*x + 0 + 28/3*x**3. Suppose v(i) = 0. Calculate i.
-2, -1, -2/3, 1
Factor 7007 - 4031 - 330*o**2 - 5*o**3 + 2907 - 1527 + 7204 - 5100*o.
-5*(o - 2)*(o + 34)**2
Let c be 5/(-8)*(-96)/6000. Let m(r) be the second derivative of 1/15*r**3 + 1/60*r**4 + 0 - c*r**5 + 7*r + 0*r**2. Factor m(v).
-v*(v - 2)*(v + 1)/5
Let h(q) = 6*q**3 - 2*q**2 - 28. Let m(d) = d**3 - d**2 - 1. Let a(k) = h(k) - 5*m(k). Let w(z) be the first derivative of a(z). Solve w(g) = 0.
-2, 0
Suppose d + 1 = -c + 6, 2*d = 2*c - 6. Solve -8*s**3 + 2*s**4 - c*s**2 + 2*s**4 + 2*s + 6*s = 0 for s.
-1, 0, 1, 2
Let d be (-7)/(1*1/(-2)). Suppose -4*g + 33 = 5*i, 0*g - 2*g - 2*i + d = 0. Determine z, given that 48*z - 15*z**2 - 9*z**g - 9 - 23 + 4*z**3 = 0.
2
Let z = 12790 + -12786. Factor z*o**3 - 24*o + 26/5*o**2 + 72/5 + 2/5*o**4.
2*(o - 1)**2*(o + 6)**2/5
Suppose 271 = -o + 23. Let h be o/(-24) - 2/(-3). Factor -20 - 41*b + h*b - 3*b**2 - 55.
-3*(b + 5)**2
Let k(v) be the first derivative of -5*v**7/42 - v**6/2 - 3*v**5/4 - 5*v**4/12 + 32*v + 22. Let z(l) be the first derivative of k(l). Factor z(n).
-5*n**2*(n + 1)**3
Let -8/7*a**3 + 8/7 + 32/7*a**2 - 4*a + 4/7*a**5 - 8/7*a**4 = 0. What is a?
-2, 1
Let r be (-2)/13 + 14*10/65. Let s(h) be the first derivative of -2/45*h**5 + 2/27*h**3 + 0*h**r + 0*h + 6 + 0*h**4. Let s(i) = 0. Calculate i.
-1, 0, 1
Suppose -33 = -a - 30. Suppose -l + 2*k = -a - 8, -3*l + 5*k + 29 = 0. Factor 0*r - 3/7*r**4 + 3/7*r**l - 3/7*r**5 + 0 + 3/7*r**2.
-3*r**2*(r - 1)*(r + 1)**2/7
Suppose 0*h + 55 = 5*h. Let m(a) = a**2 - 10*a - 9. Let x be m(h). Factor -g - 3*g + g**x + 3*g.
g*(g - 1)
Let p(q) be the second derivative of 0 - 1/78*q**4 + 0*q**2 - 5/39*q**3 - 29*q. Factor p(v).
-2*v*(v + 5)/13
Let q be 5/((-50)/4) + 32/5. Determine c, given that 13*c**3 - 4*c**2 - 14*c**2 - 16*c**3 + q*c**2 = 0.
-4, 0
Let f = -20 - -22. Solve 4*b**2 - 26*b - 75 - 7*b**f - b - 3*b = 0.
-5
Let 2/9*j**4 + 8/9 + 2/3*j**3 - 2/3*j - 10/9*j**2 = 0. Calculate j.
-4, -1, 1
Let f be (-1)/4*1 + 19/(-4). Let c be ((-106)/(-90) - 1)/((-2)/f). Factor 0 + 2/9*k**4 + c*k + 0*k**3 - 2/3*k**2.
2*k*(k - 1)**2*(k + 2)/9
Let s = -575/3 - -192. What is w in 0 - 1/3*w**3 - 1/3*w**2 + s*w + 1/3*w**4 = 0?
-1, 0, 1
Let z(v) be the third derivative of -v**7/420 + v**6/30 - v**5/20 - 5*v**4/6 - 25*v**3/12 + 21*v**2. Factor z(p).
-(p - 5)**2*(p + 1)**2/2
Let h = 132/215 + 8/43. Suppose -3 + 131 = 29*d + 12. Solve -8/5*w - 8/5 + 6/5*w**2 + h*w**3 - 2/5*w**d = 0 for w.
-1, 2
Let d(q) be the first derivative of -1/14*q**2 - 1/7*q**3 - 1/35*q**5 + 12 - 3/28*q**4 + 0*q. Factor d(w).
-w*(w + 1)**3/7
Let v(l) be the first derivative of l**3/3 + 11*l**2/2 + 14*l - 1. Let r be v(-10). Let r*i**4 + 13*i**3 - 7*i**5 - 6*i**3 + 2*i**2 - 6*i**4 = 0. Calculate i.
-1, -2/7, 0, 1
Let f = -1/3410 + 14323/3410. Factor -24/5*r**3 + 9/5*r**4 + 0 - 6/5*r + f*r**2.
3*r*(r - 1)**2*(3*r - 2)/5
Let s(t) = 555*t - 25389. Let n(g) = -g**2 + 554*g - 25390. Let r(j) = -3*n(j) + 2*s(j). Factor r(o).
3*(o - 92)**2
Let b(l) be the third derivative of l**7/1260 - 11*l**6/720 + l**5/15 + 28*l**2 - 8*l. Determine j, given that b(j) = 0.
0, 3, 8
Let q(h) be the first derivative of -2*h**5/35 - 9*h**4/7 + 40*h**3/21 + 18*h**2/7 - 38*h/7 + 516. Solve q(c) = 0 for c.
-19, -1, 1
Let r(y) be the third derivative of 3/20*y**5 + 0 + 1/120*y**6 + 5/8*y**4 + 7/6*y**3 + 16*y**2 + 0*y. What is q in r(q) = 0?
-7, -1
Let b be 8/36 + (-106)/(-9). Determine l so that -6*l - b - 365*l**2 + 362*l**2 - 9*l = 0.
-4, -1
Let g be 5/35 + 249/21. Suppose 3*o = -g, -2*z - 2*o - 17 = -5*z. What is q in 2/9*q**4 + 2/3*q**5 + 4/9*q + 0 - 10/9*q**z - 2/9*q**2 = 0?
-1, 0, 2/3, 1
Let w(d) be the second derivative of -1/12*d**4 + 0 + 1/20*d**5 - 12*d - 5/6*d**3 - 3/2*d**2. Let w(b) = 0. Calculate b.
-1, 3
Suppose 0 = -4*y + 12 + 8. Suppose -y*v = -4*o + 6, -5*v - 3*o = -6*o + 2. Solve 3/2*i**5 + 0*i - 3/2*i**3 + 0 + 3/2*i**4 - 3/2*i**v = 0.
-1, 0, 1
Let o(c) = 495*c + 6930. Let n be o(-14). Let -1 + n*f + 3/4*f**3 + 7/4*f**2 = 0. Calculate f.
-2, -1, 2/3
Let m = 425664/11 + -399257311/10318. Let l = m - 2/469. Factor 0 + 3*v + 9/2*v**2 + l*v**3.
3*v*(v + 1)*(v + 2)/2
Factor -v**3 - 355*v**2 - 29*v - 358*v**2 + 683*v**2.
-v*(v + 1)*(v + 29)
Let q(c) = -2*c**3 - c**2 + 4*c + 2. Let k(y) = 3*y**3 + 3*y**2 - 8*y - 3. Let p(f) = -4*k(f) - 7*q(f). Let u(a) be the first derivative of p(a). Factor u(g).
2*(g - 1)*(3*g - 2)
Let r(p) = 2*p**2 - 6*p - 1. Let j(y) = -2*y**2 + 5*y + 2. Let b(z) = -5*j(z) - 4*r(z). Let s be b(-3). Factor 15 - q**3 - s.
-q**3
Let b = -120641/7 + 17235. Factor 4/7*j + 0 - b*j**4 + 4/7*j**2 - 4/7*j**3.
-4*j*(j - 1)*(j + 1)**2/7
Let g(x) = x**5 - x**2 - 1. Let p(q) = -10*q**5 + 22*q**4 - 46*q**3 + 52*q**2 - 22*q + 10. Let b(l) = -12*g(l) - 2*p(l). Factor b(u).
4*(u - 2)*(u - 1)**3*(2*u - 1)
Suppose 57 = 54*o - 104 + 53. Let n = 0 - 0. Factor 2/3*k**o + 0 + n*k.
2*k**2/3
Let n be 3/2*(-1353)/(-738). Factor 5/4 + 1/2*c**2 - n*c.
(c - 5)*(2*c - 1)/4
Let j = -733 - -738. Let g(y) be the first derivative of 3/4*y**4 + 3/4*y**2 - 3/20*y**j + 0*y - 5/4*y**3 - 3. Let g(c) = 0. What is c?
0, 1, 2
Let b = 3109 + -3104. Let s(k) be the first derivative of -6 - 9/5*k**b - 14/3*k**3 - k - 4*k**4 - 1/3*k**6 - 3*k**2. Let s(n) = 0. What is n?
-1, -1/2
Let v(d) be the first derivative of -2*d**3/3 - 6*d**2 - 18*d + 200. Find c, given that v(c) = 0.
-3
Suppose 0 = q - 4, -2*x + 4*q - 28 = -5*x. Suppose -3*f + x = -2*f. Find b such that -8*b**2 + 26*b**2 - 8*b**2 - 6*b**2 + f*b**3 = 0.
-1, 0
Let u(f) = f**3 - 4*f**2. Let j be u(3). Let x be 57/9 - (-3)/j. Factor -5*v + 2*v + x + 3*v**3 + 0*v - 6*v**2.
3*(v - 2)*(v - 1)*(v + 1)
Let x be 5/((-95)/4)*(-74)/148. Factor -32/19 + x*k**3 + 16/19*k + 14/19*k**2.
2*(k - 1)*(k + 4)**2/19
Suppose 3*m = 8 + 10. Solve 4*c**2 - 15*c - 3*c**2 + m + 8*c = 0.
1, 6
Let v = 69/104 + 1/312. Let u(i) be the second derivative of 1/10*i**5 + v*i**2 - 1/3*i**3 + 0 + 1/9*i**6 - 7/18*i**4 - 8*i. Determine k so that u(k) = 0.
-1, 2/5, 1
Let f = 386 - 379. Suppose -3*m + k + 5 = 0, -k = -2*m - 4*k + 18. Determine v so that -v**2 - 8 - v**2 - f*v - m*v + 0*v**2 = 0.
-4, -1
Suppose 1/2*g**2 + 0 - 6*g = 0. What is g?
0, 12
Let n(f) be the third derivative of f**6/30 - 24*f**5/5 + 209*f**4/6 - 92*f**3 + 81*f**2 - 2*f. Factor n(b).
4*(b - 69)*(b - 2)*(b - 1)
Let 408/11*x**2 + 27744/11*x + 628864/11 + 2/11*x**3 = 0. What is x?
-68
Let q = 27 + -25. Let -6*l - l - 4*l**2 - 2 + 3*l + q*l**2 = 0. What is l?
-1
Suppose -3 = -u + 1. Factor 3*g**4 + 2*g**4 - 6*g - 70*g**2 + 55*g**2 - u*g.
5*g*(g - 2)*(g + 1)**2
Suppose -34*l + 37*l = 15. Factor -2*k + k**2 + 8 - 2*k - l + 0*k.
(k - 3)*(k - 1)
Suppose 2*c + 12 = 5*z + 2, 2 = 5*c + z. Factor -1/7*b**4 + 0*b + c - 2/7*b**2 - 3/7*b**3.
-b**2*(b + 1)*(b + 2)/7
Let v(a) = 3*a**3 - 1. Suppose -4*r - 8*y + 3*y = -4, -4 = -4*r + y. Let c be v(r). Determine t so that -3*t - 3 - 3/4*t**c = 0.
-2
Suppose 2*z = -4*x - 0*x + 44, -2*x + 20 = 2*z. Determine c, given that c**4 - x + 2*c**4 - 9*c**2 + 0*c**4 + 24*c - 6*c**3 + 0*c**2 = 0.
-2, 1, 2
Let o(x) be the second derivative of -4*x**4/9 - 7*x**3/9 + x**2/3 + 3*x - 34. Factor o(l).
-2*(l + 1)*(8*l - 1)/3
Let s = -4950 - -4955. Factor 1/4*j**s + j**4 + 3/4*j**3 - j**2 + 0 - j.
j*(j - 1)*(j + 1)*(j + 2)**2/4
Let n be 2 - 1 - -2 - 693/(-11). Find w, given that -10*w + n*w - 138*w**2 + 59*w**3 - 8 + 81*w**3 - 50*w**4 = 0.
2/5, 1
Factor 143*k + 5*k**2 + 89*k + 150 - 167*k.
5*(k + 3)*(k + 10)
Let i be (4 + -7)*(-2)/(-6). Let g be (-6*1)/i - 2. Factor -10*k**2 - g - 2*k - 4*k + 8*k**3 + 14*k**2 - 2*k**5.
-2*(k - 2)*(k - 1)*(k + 1)**3
Let z(n) be the second derivative of n**7/273 + 4*n**6/195 + 3*n**5/130 - 2*n**4/39 - 4*n**3/39 + 3*n - 2. Suppose z(q) = 0. Calculate q.
-2, -1, 0, 1
Let b = 29 + -23. Suppose -2 = 4*g - b*g. Suppose -11*i - g - 121/4*i**2 = 0. Calculate i.
-2/11
Let p(q) be the second derivative of 2/15*q**3 + 1/30*q**4 + 15*q + 1/15*q**6 + 0*q**2 + 0 - 4/25*q**5. Solve p(y) = 0.
-2/5, 0, 1
Let m be (-6 - -9) + (4/84)/((-8)/488). D