b**2 - 244. Let j(s) = 0. What is s?
-4, -2, 0
Factor -25/3*c - 1/6*c**2 - 625/6.
-(c + 25)**2/6
Let z(x) be the first derivative of x**4/4 + 13*x**3/3 + 6*x**2 + 3*x - 114. Let h be z(-12). Factor -1/6*v**4 - 1/6 - v**2 - 2/3*v - 2/3*v**h.
-(v + 1)**4/6
Let i = 8606 - 8604. Factor 3/7*t**4 + 0 + 0*t + 0*t**3 - 3/7*t**i.
3*t**2*(t - 1)*(t + 1)/7
Let m(l) be the first derivative of -l**5/45 + l**4/72 - 3*l**2 + 3. Let u(q) be the second derivative of m(q). Factor u(f).
-f*(4*f - 1)/3
Suppose -2*v = 6 - 0. Let o(b) = b + 8. Let p be o(v). Determine m, given that 17*m**3 + 6*m**2 - 18*m**3 - 4*m + 3*m**2 - p*m**2 = 0.
0, 2
Let z = -3 - -68. Suppose 60*j = z*j. Determine c so that -2/9*c**4 + 0 + j*c + 2/9*c**3 + 0*c**2 = 0.
0, 1
Suppose -63*w = -61*w - 2*r - 6, -5*r + 9 = 3*w. Let 0 - 1/7*c + 3/7*c**w - 2/7*c**2 = 0. Calculate c.
-1/3, 0, 1
Suppose 0 = 4*r - 2*i - 38, -5*r - i = -0*r - 65. Suppose -20 = 4*g, 10*t = 5*t + 4*g + 30. Find l, given that r - 6*l + l + 3*l**t - 7*l = 0.
2
Let p be (-2 - (-21)/18)/(215/(-86)). Suppose 0 = j + 4*k - 6, 4*j + k - 12 = -3*k. Factor -16/3 - 8/3*m - p*m**j.
-(m + 4)**2/3
Let 54*y - 116 + 0*y**2 - 84 + 3*y**2 + 80 = 0. What is y?
-20, 2
Let c(q) be the second derivative of -q**7/63 - 4*q**6/15 - q**5 - 14*q**4/9 - q**3 + 76*q - 3. Factor c(u).
-2*u*(u + 1)**3*(u + 9)/3
Let h(d) be the second derivative of -d**6/165 - 41*d**5/110 - 6*d**4 - 1456*d**3/33 - 1856*d**2/11 + 748*d. Factor h(m).
-2*(m + 4)**3*(m + 29)/11
Let 22/7*g**2 + 16/7 - 100/7*g + 12/7*g**3 = 0. Calculate g.
-4, 1/6, 2
Let d(h) be the third derivative of -h**9/10080 + h**8/10080 + h**7/840 - h**6/360 - h**5/15 - 4*h**2. Let y(z) be the third derivative of d(z). Factor y(r).
-2*(r - 1)*(r + 1)*(3*r - 1)
Suppose -2*l + 10 = 3*s, 4*s + 121*l - 126*l = -25. Determine g, given that 2/9*g**4 + s*g - 2/9*g**3 + 0*g**2 + 0 = 0.
0, 1
Solve -q**4 + 7/5*q**3 + 4/5 + 1/5*q**5 + 1/5*q**2 - 8/5*q = 0 for q.
-1, 1, 2
Let j(v) = -v**2 + 3*v + 12. Let x be j(5). Solve -2*r**3 + 3*r - r**4 + 10*r**4 - 2*r**x - 6*r**4 - 1 - r**5 = 0 for r.
-1, 1
Let x(p) be the second derivative of -p**6/840 + p**5/210 - p**4/168 + 5*p**2/2 - 6*p. Let d(g) be the first derivative of x(g). Factor d(k).
-k*(k - 1)**2/7
Let r(g) be the third derivative of g**6/60 - 99*g**5/10 + 9801*g**4/4 - 323433*g**3 + 361*g**2. Factor r(t).
2*(t - 99)**3
Let n = -25 + 36. Let a(v) = -v**2 + 11*v. Let g be a(n). Factor 2/3*b**2 + g + 0*b.
2*b**2/3
Let u(w) = -w**2 - w. Let n(l) = 5*l**3 - 190*l**2 + 1795*l - 1620. Let c(q) = -n(q) + 5*u(q). Let c(h) = 0. What is h?
1, 18
Let g(f) be the third derivative of 9*f**2 + 0 + 0*f**3 + 1/24*f**6 + 0*f + 1/12*f**5 + 0*f**4. Determine q, given that g(q) = 0.
-1, 0
Let y be (-65 + (-4367)/(-66))/((-1)/(-9)*7). Factor -23/2*x - 4 + y*x**2.
(x - 8)*(3*x + 1)/2
Let h(g) be the second derivative of -g**4/6 - 20*g**3/3 + 21*g**2 - 3*g + 17. Factor h(x).
-2*(x - 1)*(x + 21)
Let t(d) = -46*d**2 + 19*d + 78. Let v(n) = 61*n**2 - 18*n - 79. Let o(y) = -4*t(y) - 3*v(y). Factor o(j).
(j - 25)*(j + 3)
What is k in -2/5*k**2 + 1/5*k**3 + 1/5*k + 0 = 0?
0, 1
Let g(i) be the first derivative of 0*i**3 + 0*i + 19 + 0*i**2 + 2/7*i**5 - 1/7*i**4. Factor g(b).
2*b**3*(5*b - 2)/7
Suppose -f + 5*t = -2*f + 1, -3*f - 4*t + 14 = 0. Let b be 15/f*(-3)/(-15). Solve 1/6 + 1/2*x**2 + b*x + 1/6*x**3 = 0 for x.
-1
Let r(b) be the second derivative of b**5/100 + 3*b**4/20 + b**3/2 - 5*b**2/2 + 138*b. Factor r(m).
(m - 1)*(m + 5)**2/5
Suppose 4 = a + 1. What is j in 1 - 3*j - 6*j**4 + 8*j**2 - 3*j**4 + j**5 + 3*j**5 - a*j + 2*j**3 = 0?
-1, 1/4, 1
Determine w, given that 11*w**2 - 6*w - 7*w - 19*w**2 - 39*w + 7*w**2 = 0.
-52, 0
Let g(m) be the first derivative of m**4/30 + 14*m**3/15 + 13*m**2/5 + 7*m - 12. Let o(t) be the first derivative of g(t). Factor o(u).
2*(u + 1)*(u + 13)/5
Let y(l) = 3*l**2 - 5*l. Let d(t) = -t**2 + 3*t. Let s(r) = 5*d(r) + 2*y(r). Let o(f) = -3*f. Let p(n) = -5*o(n) - 3*s(n). Solve p(w) = 0 for w.
0
Let k(u) be the first derivative of 3*u**5/20 + 7*u**4/4 + 11*u**3/2 + 15*u**2/2 + 11*u + 12. Let d(n) be the first derivative of k(n). Factor d(r).
3*(r + 1)**2*(r + 5)
Let c(b) be the third derivative of -b**7/1260 + 5*b**6/72 - 97*b**5/360 + b**4/3 - 453*b**2. Factor c(d).
-d*(d - 48)*(d - 1)**2/6
Let b = -967 - -970. Let u(k) be the third derivative of 1/210*k**7 - 1/20*k**6 + 0*k**b + 0 + 3/20*k**5 - 3*k**2 + 0*k - 1/6*k**4. Factor u(z).
z*(z - 4)*(z - 1)**2
Let p(t) = 9*t**3 - 10*t**2 - t + 10. Let x(i) = 90*i**2 + 15*i + 0*i - 50 - 5*i - 40 - 80*i**3. Let y(n) = -35*p(n) - 4*x(n). Determine v so that y(v) = 0.
-1, 1, 2
Let l be 40/(-15)*3/(-6). Let k = 14/3 - l. Solve 2/3*b**3 - 4/3 - 8/3*b**2 + k*b = 0.
1, 2
Factor 1/4*b**3 + 357/4*b - 441/2 + 10*b**2.
(b - 2)*(b + 21)**2/4
Let y(a) be the second derivative of a**6/50 - 27*a**5/100 + 6*a**4/5 - 8*a**3/5 - a + 6. Find t such that y(t) = 0.
0, 1, 4
Suppose 0 = 5*x + 336 - 786. Let b = x - 269/3. Solve -1/3*m**3 - 1/3 + b*m**2 + 1/3*m = 0 for m.
-1, 1
Let t be ((-8)/(-22))/(((-1827)/308 + 6)*8). Factor 2/3*c**2 + 0*c + 1/3*c**5 - 1/3*c**3 + 0 - t*c**4.
c**2*(c - 2)*(c - 1)*(c + 1)/3
Let q(r) be the first derivative of -5/4*r**2 - 1/6*r**3 + 3*r + 20. Factor q(z).
-(z - 1)*(z + 6)/2
Let c(n) = 5*n**3 - 135*n**2 - 600*n - 10. Let p(j) = 2*j - 1. Let a(q) = c(q) - 10*p(q). Factor a(s).
5*s*(s - 31)*(s + 4)
Let n be (240/75)/((-4)/70). Let w = -52 - n. Factor 2/7*p**5 - 6/7*p**w + 0 - 2/7*p**2 + 6/7*p**3 + 0*p.
2*p**2*(p - 1)**3/7
Factor 36/11 + 1/11*g**3 - 32/11*g + 5/11*g**2.
(g - 2)**2*(g + 9)/11
Let r = -200 - -202. Let l(z) be the first derivative of -r*z**3 - 3/2*z**2 - 1/2*z**6 + 3/5*z**5 + 3*z + 3/2*z**4 + 5. Factor l(s).
-3*(s - 1)**3*(s + 1)**2
Let m(g) be the third derivative of -g**5/90 + 7*g**4/36 - 10*g**3/9 - 43*g**2 - 2*g. Find b, given that m(b) = 0.
2, 5
Let n(a) be the third derivative of -2*a**7/735 + 11*a**5/105 - 3*a**4/7 + 16*a**3/21 - 224*a**2. Let n(r) = 0. Calculate r.
-4, 1, 2
Let q(s) be the second derivative of 93025*s**4/36 - 610*s**3/9 + 2*s**2/3 - s + 73. Find j such that q(j) = 0.
2/305
Let q = -6345 + 19055/3. Solve -4/3*s**3 - 32/3*s**4 + 0 + 8/3*s**2 + 0*s - q*s**5 = 0.
-1, 0, 2/5
Let b = -129 + 151. Let f(i) = -i**2 - i. Let a(p) = 12*p**2 + 12*p - 6. Let v(c) = b*f(c) + 2*a(c). Let v(o) = 0. What is o?
-3, 2
Let i(g) be the second derivative of -g**7/10080 + g**5/480 - g**4/4 - 8*g. Let j(l) be the third derivative of i(l). Find f such that j(f) = 0.
-1, 1
Let h(i) be the second derivative of 1/48*i**4 + 1/4*i**2 + 0 + 1/8*i**3 + 13*i. Let h(k) = 0. What is k?
-2, -1
Let m(b) be the third derivative of b**9/635040 - b**8/211680 + 23*b**5/60 - 26*b**2. Let h(f) be the third derivative of m(f). Let h(c) = 0. Calculate c.
0, 1
Let s(k) = k**3 - 50*k**2 - 150*k - 477. Let x be s(53). Let x - 3/7*n**3 + 1/7*n**5 + 0*n**4 + 0*n - 2/7*n**2 = 0. What is n?
-1, 0, 2
Suppose 6*c = -9*c + 10*c. Let z(p) be the first derivative of 27/4*p**4 + c*p + 11*p**3 + 3*p**2 - 2. Factor z(u).
3*u*(u + 1)*(9*u + 2)
Suppose 5*m = -3*h + 4, 3*m + 1 = 5*h - 51. Suppose h*u - 6*u = -4*u. Let 1/2*j**4 + 0*j + j**3 + u + 1/2*j**2 = 0. Calculate j.
-1, 0
Let 2/5*h - 38/5 - 2/5*h**3 + 38/5*h**2 = 0. What is h?
-1, 1, 19
Let r be -6 + 3 + 2334/9. Let o = r - 2713/12. Find m, given that 1 + o*m**2 - 11*m = 0.
2/11
Let o = -1/209 + -7731/418. Let i = 19 + o. Factor -i*m**3 - 1 + m**2 + 1/2*m.
-(m - 2)*(m - 1)*(m + 1)/2
Determine i so that 2 + 7 - 6*i + 1 - 2*i**2 - 14 = 0.
-2, -1
Let w(g) be the first derivative of 25/2*g + 5/8*g**4 + 55/4*g**2 + 35/6*g**3 + 2. Factor w(c).
5*(c + 1)**2*(c + 5)/2
Let k(s) be the third derivative of -s**5/180 - 2*s**4/9 - 5*s**3/6 + 76*s**2. Let k(j) = 0. What is j?
-15, -1
Let f(z) be the first derivative of 4*z**3/3 - 6*z**2 + 269. Find k such that f(k) = 0.
0, 3
Let d(x) = -x**2 + 19*x - 22. Let h(f) = f**2 - 21*f + 23. Let w(j) = 5*d(j) + 4*h(j). Determine k, given that w(k) = 0.
2, 9
Let x(g) be the first derivative of g**6/4 + 3*g**5/2 + 21*g**4/8 - g**3/2 - 6*g**2 - 6*g - 100. Let x(p) = 0. Calculate p.
-2, -1, 1
Solve -7/4*o**2 + 11/4*o + 1/4*o**3 - 5/4 = 0 for o.
1, 5
Let k(f) be the third derivative of -f**5/20 + 4*f**4 + 34*f**3 - 14*f**2 + 13. Determine n so tha