 x.
-2, -1
Let f(z) be the second derivative of 0 - 3/2*z**2 - 1/4*z**3 + 3/40*z**5 + 1/4*z**4 - 29*z. Factor f(w).
3*(w - 1)*(w + 1)*(w + 2)/2
Let y = -2973 + 8920/3. Factor y*o - 2/3*o**3 - 1/3*o**2 + 0.
-o*(o + 1)*(2*o - 1)/3
Let x(m) be the second derivative of -13*m**4/66 - m**3/3 + 2*m**2/11 + 50*m. Factor x(l).
-2*(l + 1)*(13*l - 2)/11
Let f(d) = d**3 - 50*d**2 - 134*d - 120. Let w(x) = -6*x**3 + 150*x**2 + 399*x + 360. Let h(o) = 7*f(o) + 2*w(o). Factor h(r).
-5*(r + 2)**2*(r + 6)
Let i(t) = -5*t**2. Let h be i(1). Let f be (2/h)/(2/(-10)). Let 2*j**2 - 2*j**3 + 3*j**2 - 3*j + 7*j - 3*j**f = 0. What is j?
-1, 0, 2
Let r be -5*2/15*(-80)/64. Factor 0 - r*z**3 - 1/6*z**4 - 4/3*z**2 - 2/3*z.
-z*(z + 1)*(z + 2)**2/6
Let v(q) be the first derivative of q**3/9 - q**2/2 - 4*q/3 - 13. Solve v(o) = 0.
-1, 4
Let t(r) = 12*r + 12. Let u be t(4). Let p = u + -58. Solve 0 - 3/5*w**p + 0*w = 0 for w.
0
Let q(x) be the first derivative of x**3/18 - 5*x**2/4 + 25*x/3 - 295. Factor q(t).
(t - 10)*(t - 5)/6
Let q(l) be the second derivative of -5*l**7/42 + 23*l**6/3 - 168*l**5 + 3200*l**4/3 + 20480*l**3/3 + 4*l - 9. Let q(t) = 0. Calculate t.
-2, 0, 16
Let -509 + 17*h**2 - 61 - 16*h**3 - 145 + 336*h + 35*h**2 - 2*h**4 - 167 = 0. Calculate h.
-7, 3
Let n = -11173 + 78311/7. Find s such that n*s + 44/7*s**3 - 108/7*s**2 - 4/7*s**4 - 32/7 = 0.
1, 8
Let o = -95 + 167. Let b = -142 - -258. Let -b*f**2 - 70*f**3 - 11 - o*f - 8*f**3 - 5 - 18*f**4 = 0. Calculate f.
-2, -1, -2/3
Let k(l) be the second derivative of l**4/14 - l**3 - 54*l**2/7 - 246*l. Factor k(b).
6*(b - 9)*(b + 2)/7
Suppose 0 = -17*p + 13*p + 12. Let v be -2 - ((-300)/35)/p. Factor v*m**3 + 6/7*m**2 + 2/7*m**4 + 0 + 2/7*m.
2*m*(m + 1)**3/7
Let h(o) = 12*o**3 - 4*o**2 - 9*o - 2. Let n(v) = -13*v**3 + 6*v**2 + 9*v + 2. Let c(g) = 4*h(g) + 3*n(g). Factor c(p).
(p - 1)*(p + 1)*(9*p + 2)
Let l(y) = -2 - y**2 - 5*y - y**2 + y**2. Let d be l(-4). Factor -3*i + 6*i**2 - 2*i**3 + i**3 + 0*i**d - 2*i**3.
-3*i*(i - 1)**2
Let y(l) = -2*l**3 + 3*l**2 + 3*l - 4. Let d be y(3). Let s be 124/44 - 4/d. Factor -1/2*o**4 + 1/2*o**2 - 1/2*o**s + 0 + 1/2*o.
-o*(o - 1)*(o + 1)**2/2
Factor -16/5 - 18/5*o**2 + 76/5*o.
-2*(o - 4)*(9*o - 2)/5
Let r(l) be the second derivative of -7*l**5/150 - l**4/12 + 2*l**3/15 + 31*l**2/2 - 28*l. Let o(c) be the first derivative of r(c). Factor o(s).
-2*(s + 1)*(7*s - 2)/5
Let m(d) be the third derivative of 1/140*d**7 + 0*d**6 + 0*d**4 + 0*d**3 - 1/30*d**5 - 6*d + d**2 + 0 - 1/672*d**8. Solve m(z) = 0.
-1, 0, 2
Factor 21/2*h**4 - 3/2*h**5 + 27/2*h**2 + 0*h + 0 - 45/2*h**3.
-3*h**2*(h - 3)**2*(h - 1)/2
Let t(o) be the third derivative of -o**8/40320 + o**7/5040 - o**5/12 + 3*o**2. Let i(j) be the third derivative of t(j). Solve i(x) = 0 for x.
0, 2
Let c(s) be the third derivative of s**7/1050 + 2*s**6/75 + 59*s**5/300 + 11*s**4/30 + s**2 - 22*s. Factor c(t).
t*(t + 1)*(t + 4)*(t + 11)/5
Find t such that 3*t**2 + 26*t**5 + 3*t**3 - 67*t**5 + 38*t**5 - 3*t**4 = 0.
-1, 0, 1
Let r(q) be the first derivative of -4*q**7/105 - 4*q**6/75 - q**5/50 + q - 11. Let w(l) be the first derivative of r(l). Suppose w(b) = 0. Calculate b.
-1/2, 0
Let c(z) = 9*z**3 - 5*z**2 + 10*z - 8. Let w(l) = l**2 + 2 - 1 - l**3 - 14*l + 13*l. Let u(y) = -5*c(y) - 40*w(y). Find j, given that u(j) = 0.
-2, -1, 0
Let b be (1/4)/(25/200). Factor 1 - 3 + 6*d + 3*d**b + 2.
3*d*(d + 2)
Let m(c) be the second derivative of -c**4/36 - 61*c**3/6 + 92*c**2/3 - 538*c. Factor m(n).
-(n - 1)*(n + 184)/3
Let l(b) = -12*b**3 + 38*b**2 - 18*b - 6. Let h(c) = -c**3 + c - 1. Let y = -52 - -53. Let p(k) = y*l(k) + 2*h(k). Factor p(z).
-2*(z - 2)*(z - 1)*(7*z + 2)
Suppose 9*u - 12*u + 9 = 0. Let t(v) be the first derivative of 2/9*v**2 + 2/9*v**5 + 2/3*v**3 + u + 2/3*v**4 + 0*v. Determine m so that t(m) = 0.
-1, -2/5, 0
Factor 1/6*k**4 - 29/6*k**2 + 0 + 13/6*k**3 + 5/2*k.
k*(k - 1)**2*(k + 15)/6
Let m(t) = 16*t**2 + 32*t. Let y(f) = -33*f**2 - 67*f. Let h(d) = -9*m(d) - 4*y(d). Solve h(j) = 0 for j.
-5/3, 0
Suppose 13 = 5*j + 3. Factor -3 + 3*u**j + 2 - 2.
3*(u - 1)*(u + 1)
Let j be (-4)/5*14/(-14) + 36/105. Factor -4/7*h**2 + j*h - 4/7.
-4*(h - 1)**2/7
Suppose -64/9 - 2/9*z**2 - 4*z = 0. What is z?
-16, -2
Let g(o) = -o**2 + 7*o + 10. Let q(i) = i**3 + 6*i**2 - 8*i + 1. Let v be q(-7). Let b be g(v). Let -3 + 4 + 7 + 4*k**b - 12*k = 0. What is k?
1, 2
Let l(h) = h**2 + 6*h - 3. Let w(t) = -2*t - 1. Let y be w(3). Let s be l(y). Factor -2 - 5*i**s + 1 + 1 + 5*i**2.
-5*i**2*(i - 1)*(i + 1)
Let k(p) be the first derivative of 1/42*p**4 - 2/7*p**3 + 9/7*p**2 + 1 - 4*p. Let v(t) be the first derivative of k(t). Find l such that v(l) = 0.
3
Let s(b) be the first derivative of 3*b**5/5 - 27*b**4/8 + 3*b**3/2 + 3*b**2 - 70. Let s(t) = 0. Calculate t.
-1/2, 0, 1, 4
Let m be ((6/(-10))/(-1))/(((-441)/30)/(-49)). What is a in 0 - 1/2*a**3 - 1/2*a - a**m = 0?
-1, 0
Let y(c) be the third derivative of c**6/240 + c**5/24 - 17*c**4/48 - 7*c**3/4 - 97*c**2 - 2. Factor y(u).
(u - 3)*(u + 1)*(u + 7)/2
Let c = 1159/278 + -1/417. Suppose c*g - 1 + 27/2*g**2 - 52*g**3 - 56/3*g**4 = 0. Calculate g.
-3, -2/7, 1/4
Let m(y) be the third derivative of -59582*y**7/525 - 961*y**6/6 + 1798*y**5/25 - 182*y**4/15 + 16*y**3/15 + 4*y**2 + 33. Factor m(u).
-4*(u + 1)*(31*u - 2)**3/5
Let i(r) be the third derivative of -r**7/420 - 19*r**6/240 - 2*r**5/15 + 3*r**4/4 - 47*r**2 - 2. Factor i(y).
-y*(y - 1)*(y + 2)*(y + 18)/2
Let g(b) be the second derivative of -b**6/10 + 111*b**5/20 - 393*b**4/4 + 935*b**3/2 - 867*b**2 + 684*b. Factor g(j).
-3*(j - 17)**2*(j - 2)*(j - 1)
Factor -764664 - 3*y**3 + 3*y**4 + 764664.
3*y**3*(y - 1)
Let n be (99/6)/(6/4). Factor 20*l - 10*l**2 - 6*l**2 - 15 + n*l**2.
-5*(l - 3)*(l - 1)
Let p(t) = -17*t + 6. Let h be p(0). Let y(a) be the third derivative of 0*a**4 + 0 + h*a**2 + 0*a - 1/300*a**5 + 2/15*a**3. Let y(s) = 0. Calculate s.
-2, 2
Suppose 4*f - 3*u = -1013 + 1033, -4*f - u = -4. Let -1/12*r**3 + 5/12*r**f - 2/3*r + 1/3 = 0. Calculate r.
1, 2
Suppose 5*f + 5 = -i - i, 4*i = -5*f + 5. Suppose 0 = -i*v + 4 + 16. Factor -v*o - 2*o**3 + 6*o + 0*o + 3*o**4 - 3*o**2.
o*(o - 1)*(o + 1)*(3*o - 2)
Let l(f) be the third derivative of f**7/21 - 61*f**6/60 + 322*f**5/75 + 167*f**4/15 + 48*f**3/5 + 241*f**2. Determine w, given that l(w) = 0.
-2/5, 4, 9
Factor 0 - 9/4*x**2 - 3/4*x**3 - 3/2*x.
-3*x*(x + 1)*(x + 2)/4
Let l = -2008 - -42181/21. Let o(t) be the second derivative of 2/21*t**4 + 0 + 3/7*t**2 + 5*t + l*t**3. Factor o(p).
2*(p + 3)*(4*p + 1)/7
Let u be 10 + 1 + (-8)/2. Find w, given that u*w**4 - w**5 - 2*w**5 - 255*w**3 + 68*w - 54*w**4 - 318*w - 525*w**2 = 0.
-5, -2/3, 0
What is h in 7*h**3 + 39*h**3 - 153*h**4 + 1539*h**2 + 3042 - 7120*h + 815*h**3 + 61*h + 36*h**3 + 6*h**5 = 0?
-3, 1/2, 2, 13
Let s(p) be the second derivative of 0*p**2 - 1/9*p**3 - 7/36*p**4 - 28*p + 0. Determine r, given that s(r) = 0.
-2/7, 0
Let p be (29 - 27)*3/2. Let -3*w**4 + 3*w + 4*w**4 + 2*w - 2*w**2 - 17*w + p*w**3 - 8 = 0. What is w?
-2, -1, 2
Let l(n) be the second derivative of 21*n**5/20 - 159*n**4/4 - 23*n**3 + 339*n. Determine i, given that l(i) = 0.
-2/7, 0, 23
Let n(o) be the first derivative of 2*o**5/45 + 19*o**4/18 + 76*o**3/9 + 260*o**2/9 + 400*o/9 + 818. Let n(j) = 0. What is j?
-10, -5, -2
Factor 10/7*x - 10/7*x**3 + 2/7*x**2 - 2/7.
-2*(x - 1)*(x + 1)*(5*x - 1)/7
Suppose 5*a - 8 = 4*n, 55*a - 54*a - 5*n = 10. Let w(u) be the second derivative of 9*u - 7/9*u**4 + a - 1/18*u**3 + 1/3*u**2. What is b in w(b) = 0?
-2/7, 1/4
Solve 58/13*y**2 + 30*y + 2/13*y**3 - 450/13 = 0 for y.
-15, 1
Let f(x) = 4*x**4 - 8*x**3 - 36*x**2 + 168*x + 372. Let g(a) = -a**4 - 2*a**3 + 2*a**2 + 2*a + 1. Let y(q) = f(q) + 6*g(q). Factor y(t).
-2*(t - 3)*(t + 3)**2*(t + 7)
Find u, given that -130/7*u**2 - 2048/7 - 2176/7*u - 2/7*u**3 = 0.
-32, -1
Suppose -47*d + 43*d + 408 = 0. Let l = -100 + d. Factor 0 + 1/2*z**l + z.
z*(z + 2)/2
Let t(r) = 2*r**3 + 16*r**2 + 26*r + 25. Let b = -76 - -63. Let l(a) = a**3 + 8*a**2 + 13*a + 12. Let j(h) = b*l(h) + 6*t(h). Solve j(x) = 0 for x.
-6, -1
Let t be (35/85 - 3) + 2. Let s = t - -91/68. Factor -s*p**2 + 0 + 3/2*p.
-3*p*(p - 2)/4
Let x(l) be the third derivative of l**7/105 - 11*l**6/180 + 4*l**5/45 + l**4/9 + 102*l**2. Solve