**4 + 1606*h**2 + 3332/5*h + 432/5 = 0. Calculate h.
-4, -1, -1/3, -2/7, 27
Let l(m) be the third derivative of -m**8/112 + m**7 - 97*m**6/20 - 121*m**5/5 + 987*m**4/8 + 603*m**3 + 34*m**2 + 31*m - 2. Solve l(t) = 0.
-2, -1, 3, 67
Let z(b) be the second derivative of 0 - 5/6*b**4 + 1/12*b**5 - 15*b**2 + 19*b + 0*b**3. Let k(j) be the first derivative of z(j). Factor k(n).
5*n*(n - 4)
Let a be (-81)/(-35) + 14/((-1176)/60). Let m = -20/9 - -136/45. Factor -a - m*s**3 + 8/5*s**2 + 4/5*s.
-4*(s - 2)*(s - 1)*(s + 1)/5
Let y(p) be the first derivative of -p**4 - 2/15*p**5 + 2*p - 4/9*p**3 + 1/9*p**6 + 50 + 5/3*p**2. Factor y(q).
2*(q - 3)*(q - 1)*(q + 1)**3/3
Let g(w) be the first derivative of w**4/84 - 94*w**3/21 + 4418*w**2/7 - 302*w + 224. Let q(k) be the first derivative of g(k). Factor q(t).
(t - 94)**2/7
Let j(x) be the third derivative of x**7/70 + 259*x**6/40 + 832*x**5 - 4225*x**4/2 - 1678*x**2 + 4. Factor j(w).
3*w*(w - 1)*(w + 130)**2
Let n = -621 - -624. Suppose -791*l**n + 0*l**4 + 771*l**3 + 5*l**4 + 80*l - 80 = 0. What is l?
-2, 2
Let z be (1 - 0/(0/5 + -5))*3. Suppose 0*m + 1/3*m**2 - 1/3*m**5 + 1/3*m**z + 0 - 1/3*m**4 = 0. Calculate m.
-1, 0, 1
What is c in 2/5*c**4 + 0 + 102/5*c**2 - 8*c**3 + 0*c = 0?
0, 3, 17
Suppose 3*d = p + 181, -4*p - 124 = d - 3*d. Suppose d = 25*q - 15. Determine x so that 0 - 1/2*x**q - 4/5*x**2 + 2/5*x = 0.
-2, 0, 2/5
Let t(z) be the second derivative of 2*z**4/3 - 3*z**3 - 9*z**2 - 566*z + 2. Let t(a) = 0. What is a?
-3/4, 3
Suppose 7*h + 1065 = 1093. Suppose -8 = -3*j - 5*s + 12, -s + h = 2*j. Determine u so that 2/7*u**2 + j - 2/7*u = 0.
0, 1
Let k(d) be the third derivative of -d**6/30 - 82*d**5/15 - 704*d**4/3 + 7744*d**3 - 861*d**2. Factor k(b).
-4*(b - 6)*(b + 44)**2
Let h(r) = -1 + 57*r**2 - 12*r - 37*r + 5 + 7*r + 3. Let c(f) = -118*f**2 + 84*f - 13. Let u(l) = 2*c(l) + 5*h(l). Let u(p) = 0. What is p?
3/7
Let a = 643861/3 + -214615. Factor -5*s - a + 1/3*s**2.
(s - 16)*(s + 1)/3
Let h(x) = x**3 - 3*x**2 + 2*x + 1. Let s(z) = 261*z**2 - 393*z + 134. Let w(r) = 10*h(r) - 5*s(r). Let w(j) = 0. What is j?
1/2, 1, 132
Let s(r) = 22*r + 907. Let h(k) = -20*k - 907. Let n(m) = -2*h(m) - 3*s(m). Let d be n(-35). Factor -2/21*x + 0 - 2/21*x**d - 4/21*x**2.
-2*x*(x + 1)**2/21
Let o be ((-9)/6)/((-2)/(-4)) - -21. Let u(l) = -3*l + 57. Let t be u(o). Factor -8*d**2 - 20*d + 10*d**2 + 22*d**2 + 2*d**t - 6*d**3.
-4*d*(d - 5)*(d - 1)
Let m = -78136/9 - -78139/9. Factor 7/3*p + 0 + m*p**2.
p*(p + 7)/3
Let h be (-4422)/(-1473) + (-7 - (-8 + 4)). Let s = h + 2449/2946. Factor 5*c + 20/3 + s*c**2.
5*(c + 2)*(c + 4)/6
Let h(z) = -104*z**3 - 152*z**2 - 975*z - 801. Let k(i) = 93*i**3 + 154*i**2 + 975*i + 802. Let r(b) = -8*h(b) - 9*k(b). Suppose r(w) = 0. Calculate w.
-27, -6, -1
Suppose -28*h + 3 + 109 = 0. What is n in -190 + 38*n**3 + 42 - 176 + 13*n**h + 90*n + 194*n**2 - 11*n**4 = 0?
-9, -2, 1
Let h be 17 + 1/((28/(-62))/7). Factor 39/2 + 21*f + h*f**2.
3*(f + 1)*(f + 13)/2
Let d(v) be the second derivative of 11*v**7/42 + 5*v**6/2 + 24*v**5/5 - 5*v**4/3 - 2959*v. Let d(y) = 0. Calculate y.
-5, -2, 0, 2/11
Let c(g) be the first derivative of -1/2*g**4 - 2*g + 2/3*g**3 + g**2 + 10. Factor c(q).
-2*(q - 1)**2*(q + 1)
Let y(x) be the second derivative of x**6/6 - 2*x**5 + 95*x**4/12 - 10*x**3 + 5*x - 41. Let y(f) = 0. Calculate f.
0, 1, 3, 4
Let v(g) = 18*g**4 - 32*g**3 - 57*g**2 - 87*g. Let h(r) = -8*r**4 + 14*r**3 + 29*r**2 + 43*r. Let c(a) = -7*h(a) - 3*v(a). Let c(i) = 0. Calculate i.
-2, 0, 5
Let n(o) = o**5 + o**4 + o**2 + o - 1. Let f(i) = 7*i**5 + 9*i**4 - 4*i**3 + 6*i**2 + 6*i - 6. Let b = -200 - -206. Let g(v) = b*n(v) - f(v). Factor g(t).
-t**3*(t - 1)*(t + 4)
Factor 1/3*m + 1/3*m**2 + 0.
m*(m + 1)/3
Suppose 11*b = -105*b - 73*b. Factor -2/11*x - 2/11*x**2 + b.
-2*x*(x + 1)/11
Let c = 129 - 113. What is k in -4*k**5 + 3*k**4 - 19*k**4 - 94*k**2 + 110*k**2 - 12*k**3 + c*k = 0?
-2, -1, 0, 1
Let a(o) be the first derivative of -1922*o - 1/2*o**4 + 122/3*o**3 - 899*o**2 - 100. Factor a(x).
-2*(x - 31)**2*(x + 1)
Let c(j) = -j**2 - 19*j - 30. Let f be c(-17). Find h such that -4*h**4 - 4*h**3 + f*h**4 + 5*h**2 + 33*h**2 + 24 - 2*h**4 - 56*h = 0.
-6, 1, 2
Let g(w) be the first derivative of -w**3 + 9*w**2/2 + 42*w + 123. Let k(h) = 6*h**2 - 19*h - 84. Let n(p) = 11*g(p) + 6*k(p). Suppose n(b) = 0. What is b?
-2, 7
Let n(k) = 2*k**2 - 23*k + 24. Let d be n(1). Factor 353 + 204 + 864 + 1153*p**2 - 280 + 155 + p**4 + 2520*p - 70*p**d.
(p - 36)**2*(p + 1)**2
Solve -16560*m - 3 + 3 + 4*m**2 + 13504*m = 0.
0, 764
Factor -3 + 54*c**3 - 310*c - 5465*c**4 + 3 + 790*c + 288*c**2 + 5468*c**4.
3*c*(c + 4)**2*(c + 10)
Let w(l) be the second derivative of -9*l**5/80 + 355*l**4/8 + 713*l**3/6 + 119*l**2 - 209*l - 13. Factor w(m).
-(m - 238)*(3*m + 2)**2/4
Factor -256*r + 208*r + 107 + 13 - 382*r + 35*r**2.
5*(r - 12)*(7*r - 2)
Suppose 0 = 4*l - v - 6, 3*l = v + 4*v - 4. What is s in 3*s**2 + 5*s**2 - 6*s**2 - 9*s + s**l = 0?
0, 3
Let n(r) be the third derivative of r**8/840 + 2*r**7/175 + r**6/30 - 11*r**4/60 - 2*r**3/5 + 1365*r**2 - 2*r. Suppose n(h) = 0. What is h?
-3, -2, -1, 1
Let k(r) be the first derivative of -r**8/336 + r**7/42 - r**6/18 - 127*r**3/3 + 134. Let p(x) be the third derivative of k(x). Factor p(t).
-5*t**2*(t - 2)**2
Let i(r) be the third derivative of 13/84*r**4 - 1/210*r**5 + 0*r + 73*r**2 - 4/7*r**3 - 2. Determine b, given that i(b) = 0.
1, 12
Solve 9/7*c**2 - 3/7*c + 15/7*c**4 + 27/7*c**3 + 0 = 0 for c.
-1, 0, 1/5
Let r = -158337 - -158339. Factor -3 - 15/4*y**r + 6*y + 3/4*y**3.
3*(y - 2)**2*(y - 1)/4
Suppose -2*z**4 - 288 + 48*z + 33*z**2 + 13*z**2 - 6045*z**3 + 6041*z**3 = 0. What is z?
-4, 3
Let b(a) = a**2 + 2*a - 1. Suppose -5 = i, 0*k + 5*k - 3*i = 20. Let c(h) = 7*h**2 - 2*h - 3. Let y(x) = k*c(x) - 3*b(x). What is u in y(u) = 0?
0, 2
Let t(n) be the second derivative of 5*n**4/4 - 5405*n**3/6 + 900*n**2 - 17*n + 4. Suppose t(f) = 0. Calculate f.
1/3, 360
Suppose 4*h - 29 = -21. Let a(k) = -2*k**3 + k - 1. Let s(f) = 21*f**3 + 2*f**2 - 11*f + 11. Let x(c) = h*s(c) + 22*a(c). Factor x(n).
-2*n**2*(n - 2)
Let 22139943*l**5 + 190*l**3 - 22139948*l**5 + 660*l**2 - 1061*l + 381*l - 165*l**4 = 0. What is l?
-34, -2, 0, 1, 2
Let d be (-2 - (-1304)/672)*1*4/(-20). Let q(x) be the third derivative of 0 + 27*x**2 + 5/12*x**3 + d*x**7 - 1/12*x**5 + 0*x + 0*x**4 + 0*x**6. Factor q(b).
5*(b - 1)**2*(b + 1)**2/2
Let p be (8 - 9260/984)/(-1). Let u = -51/41 + p. Factor -u*x**3 + 1/6*x - 2/3*x**2 + 2/3.
-(x - 1)*(x + 1)*(x + 4)/6
Let u(d) be the first derivative of -d**4/4 - 8*d**3/3 + d**2/2 + 8*d + 1666. Determine v so that u(v) = 0.
-8, -1, 1
Let q = 3/325 + 319/650. Let y(w) be the first derivative of q*w**4 + 0*w + 2*w**3 + 2*w**2 + 7. What is z in y(z) = 0?
-2, -1, 0
Suppose -14*g**3 + 45/2 + 99/2*g**2 + 0*g**4 + 1/4*g**5 - 233/4*g = 0. What is g?
-9, 1, 2, 5
Let a(h) be the first derivative of -h**4/3 - 82*h**3/3 - 80*h**2 + 19*h + 173. Let o(x) be the first derivative of a(x). Let o(m) = 0. Calculate m.
-40, -1
Let d(k) = 29*k**3 - 18*k**2 + 53*k - 16. Let x(o) = -120*o**3 + 72*o**2 - 213*o + 63. Let q(v) = 33*d(v) + 8*x(v). Factor q(s).
-3*(s - 1)**2*(s + 8)
Let z be -2 + 105/(-45) - -6. Let t(d) be the first derivative of -5/4*d**4 + 0*d + z*d**3 - 3 + 5*d**2. Factor t(m).
-5*m*(m - 2)*(m + 1)
Let w(q) be the first derivative of -3*q**4/16 - 334*q**3 - 5241. Factor w(l).
-3*l**2*(l + 1336)/4
Let q = -57862 - -289354/5. Factor q*c**3 + 48/5*c**2 + 16/5*c**4 + 18/5*c + 0 + 2/5*c**5.
2*c*(c + 1)**2*(c + 3)**2/5
Let a = 23394 - 55022687/2352. Let b(r) be the third derivative of 0*r**6 + a*r**8 + 0*r + 0*r**3 + 2/735*r**7 + 0*r**5 + 0 + 0*r**4 + 14*r**2. Factor b(l).
l**4*(l + 4)/7
Let z = 9167 - 9163. Let u(w) be the first derivative of 48 + 4/5*w**5 - 34*w**2 + 24*w - 7*w**z + 68/3*w**3. Factor u(t).
4*(t - 3)*(t - 2)*(t - 1)**2
Let r(f) = 3505*f - 3502. Let w be r(1). Factor -3/5*t**2 + 0 + 1/5*t + 2/5*t**w.
t*(t - 1)*(2*t - 1)/5
Let h(w) be the second derivative of 179*w**5/20 - 539*w**4/12 + 182*w**3/3 - 2*w**2 + 835*w + 2. Suppose h(j) = 0. Calculate j.
2/179, 1, 2
Let o(k) be the second derivative of k**8/23520 - 2*k**7/2205 + k**6/360 + 6*k**4 - 93*k. Let l(z) be the third derivative of o