90 - 11*h**5/6 + 163*h**4/18 + 973*h**3/18 + 539*h**2/6 - 4232*h. Let w(c) = 0. Calculate c.
-11, -1, 7
Find o, given that -99/7 - 99/7*o**4 + 6/7*o**3 - 3/7*o**5 + 198/7*o**2 - 3/7*o = 0.
-33, -1, 1
Let f = -719 - -1205. Let k = f + -969/2. Find p such that -1 + k*p - 1/2*p**2 = 0.
1, 2
Suppose 1493 = 7*m + 240. Let q = m + -59. Factor 2 + 28*a**2 + 6 - q*a**3 - 96*a + 8 + 28*a**4 + 144*a**2.
4*(a - 2)*(a - 1)**2*(7*a - 2)
Let s(j) be the first derivative of j**4/10 - 24*j**3/5 - 37*j**2/5 + 387. Factor s(i).
2*i*(i - 37)*(i + 1)/5
Find p such that 2/15*p**5 + 0 + 2/3*p**4 + 16/5*p - 8/3*p**2 - 4/3*p**3 = 0.
-6, -2, 0, 1, 2
Let x(g) be the third derivative of -1/40*g**5 + g**3 + 1/3*g**4 + 0*g - 1/60*g**6 + 0 + 176*g**2. Factor x(n).
-(n - 2)*(n + 2)*(4*n + 3)/2
Determine c, given that 776*c + 879*c + 1806 - 3*c**2 - 1568*c = 0.
-14, 43
Let u(d) = -8*d**2 - 73*d + 67. Let l(m) = m. Let z(a) = 4*l(a) + u(a). Let b(c) = -12*c**2 - 103*c + 101. Let i(w) = 5*b(w) - 7*z(w). Factor i(p).
-4*(p - 1)*(p + 9)
Let j(i) = -760*i + 123. Let d be j(-1). Let q = d - 1761/2. Factor q*h**2 - 1 - 3/2*h.
(h - 1)*(5*h + 2)/2
Let x(l) be the second derivative of l**6/210 + 41*l**5/140 + 271*l**4/84 + 11*l**3/2 + l - 3. Factor x(y).
y*(y + 1)*(y + 7)*(y + 33)/7
Let l(g) be the first derivative of g**5/20 + 5*g**4/3 + 279*g + 15. Let x(f) be the first derivative of l(f). Factor x(h).
h**2*(h + 20)
Let m(g) be the third derivative of -g**5/270 - 14*g**4/27 - 221*g**3/9 + 1524*g**2. Solve m(d) = 0.
-39, -17
Let c(l) be the first derivative of -l**6/15 + 236*l**5/75 - 206*l**4/5 + 988*l**3/15 - 361*l**2/15 + 1113. Determine v so that c(v) = 0.
0, 1/3, 1, 19
Suppose -1167*b = -1160*b + 7623. Let d be 5 + (b/77)/3. Suppose 0 + 10/7*p + d*p**2 = 0. What is p?
-5, 0
Let k(v) = v**2 + 2*v + 1. Let x(q) = -12*q**2 - 64*q - 88. Suppose 4*j - 57 = 5*m, 8*j = 7*j - 3*m - 7. Let w(f) = j*k(f) + x(f). Let w(i) = 0. What is i?
-10, -2
Let h(c) be the first derivative of -c**5/25 - 31*c**4/20 - 16*c**3/3 + 56*c**2/5 + 5171. Factor h(b).
-b*(b - 1)*(b + 4)*(b + 28)/5
Let z(c) be the second derivative of 3*c**6/25 + 73*c**5/25 + 304*c**4/15 + 128*c**3/15 + 111*c + 7. Factor z(r).
2*r*(r + 8)**2*(9*r + 2)/5
Let j(a) be the third derivative of 1/5*a**5 + 88*a**2 + 0*a - 1/12*a**4 + 0 - 2*a**3 + 1/60*a**6. What is l in j(l) = 0?
-6, -1, 1
Let r = 263 - 183. Solve 3*l**2 + 30 - 173*l + 72*l + r*l = 0 for l.
2, 5
Let i(q) be the second derivative of q**5/4 + 515*q**4/6 + 16975*q**3/2 - 110250*q**2 - 1426*q. Find m, given that i(m) = 0.
-105, 4
Let o(v) be the third derivative of v**7/735 - 2*v**6/15 - v**5/210 + 2*v**4/3 - 883*v**2. Suppose o(x) = 0. Calculate x.
-1, 0, 1, 56
Let x(v) = -3*v + 3. Let u be x(0). Solve -633*p - 4*p**u + 565*p + 2*p**3 + 4*p**4 + 24 + 68*p**2 - 26*p**3 = 0.
1, 2, 3
Solve 0 + 15*j + 1/2*j**4 - 15*j**3 - 1/2*j**2 = 0 for j.
-1, 0, 1, 30
Suppose 9 = 5*y - v - 5, -y = -2*v - 10. Let d = -1203 + 2189. Factor -994 + 4*f**y - 7*f + d + 3*f.
4*(f - 2)*(f + 1)
Let x(w) = 16919*w**4 + 16361*w**3 - 516*w**2 + 42*w - 38. Let z(b) = -8459*b**4 - 8181*b**3 + 258*b**2 - 20*b + 18. Let a(r) = -9*x(r) - 19*z(r). Factor a(t).
2*t*(t + 1)*(65*t - 1)**2
Let i(r) be the first derivative of r**4/16 - r**3 - 181*r**2/8 - 42*r + 820. Determine s, given that i(s) = 0.
-8, -1, 21
Let h = 19946 - 139616/7. Let u(t) be the first derivative of -2/63*t**6 - 10/7*t**2 + 15 + 4/21*t**4 + 44/63*t**3 - 2/15*t**5 + h*t. Solve u(f) = 0 for f.
-3, 1/2, 1
Let g = 668/489 + -16/489. Let p(f) be the second derivative of f + 2*f**2 + g*f**3 + 1/3*f**4 + 0. Factor p(d).
4*(d + 1)**2
Let w(k) be the third derivative of k**5/120 + 7*k**4/6 - 59*k**3/4 - 2*k**2 - 117. Factor w(h).
(h - 3)*(h + 59)/2
Let x(u) be the third derivative of 5*u**8/336 + 13*u**7/42 + u**6/6 - 48*u**5 - 540*u**4 - 2520*u**3 + u**2 - 1526*u. Solve x(m) = 0.
-6, -2, 7
Let v(t) be the third derivative of t**7/280 + t**6/45 - t**5/30 - 19*t**4/8 + 35*t**2. Let u(q) be the second derivative of v(q). Suppose u(y) = 0. What is y?
-2, 2/9
Let m be 330/(-15)*3/(-2). Factor 5*n + 11*n**2 + n**4 + 7*n**3 + 3*n**4 + n**4 - m*n**4 + 29*n**4.
n*(n + 1)**2*(n + 5)
Let h = 37765/4 - 309903/28. Let v = h + 1629. Factor 16/7 - v*q + 4/7*q**3 - 4/7*q**2.
4*(q - 2)*(q - 1)*(q + 2)/7
Let o = -1161/7 + 2427/14. Let k(f) be the first derivative of 10*f + 15/4*f**4 + 25 - 10/3*f**3 - o*f**2. Factor k(h).
5*(h - 1)*(h + 1)*(3*h - 2)
Let h(f) = -f**2 + 1. Let o(r) be the second derivative of 0 - 10*r**2 - 34*r - 52/3*r**3 - 163/6*r**4. Let t(c) = 12*h(c) + o(c). Let t(u) = 0. Calculate u.
-2/13
Let o(w) = -29*w**3 - 135*w**2 - 102*w + 10. Let a(m) = 59*m**3 + 273*m**2 + 204*m - 23. Let s(p) = 6*a(p) + 13*o(p). Determine q, given that s(q) = 0.
-4, -1, -2/23
Suppose q + 16 = 5*f, 0 = -14*f + 8*f + 3*q + 21. Let v(j) be the first derivative of 0*j - 4/9*j**2 - 8/27*j**f - 1/18*j**4 - 3. Factor v(p).
-2*p*(p + 2)**2/9
Suppose -2*x - 4*t + 16 = 2, 0 = x + 5*t - 1. Let i(r) = 7*r**2 + 41*r + 67. Let j(w) = -4*w**2 - 20*w - 34. Let u(p) = x*j(p) + 6*i(p). Factor u(f).
-2*(f - 14)*(f + 1)
Let x(a) be the third derivative of -a**5/150 - 11*a**4/60 + 5*a**2 - 188. Factor x(u).
-2*u*(u + 11)/5
Suppose o - 35 = -m + 3*m, 5*o = 2*m + 167. Let f = o + -29. Let 16/7*y**3 + 2/7*y**f + 48/7*y**2 + 32/7 + 64/7*y = 0. Calculate y.
-2
Let o = -1262 + 1281. Let g(p) be the second derivative of 1/22*p**2 + 1/66*p**3 + 0 - o*p - 1/132*p**4 - 1/220*p**5. Factor g(l).
-(l - 1)*(l + 1)**2/11
Suppose -3*n = -5*v + 14, -24*v + 23*v + 12 = 4*n. Let o(u) be the first derivative of 15 + 0*u - 5/4*u**v + 5/9*u**3 + 0*u**2. Factor o(c).
-5*c**2*(3*c - 1)/3
Let r be 25/(-40) - (-69525)/5768. Suppose -r*l**2 + 32/7 + 88/7*l + 2*l**3 = 0. Calculate l.
-2/7, 2, 4
Let r(o) be the first derivative of 4*o - 4/3*o**2 + 1/12*o**4 + 37 - 1/9*o**3. Find a, given that r(a) = 0.
-3, 2
Let t be ((-13)/78)/(2/(-8)). Let n = -47563 - -47563. Factor t*b**2 + 0*b**3 - 2/3*b**4 + 1/3*b - 1/3*b**5 + n.
-b*(b - 1)*(b + 1)**3/3
Let a(n) be the second derivative of n**6/50 + 3*n**5/100 - 3*n**4/5 + 2*n**3/5 + 24*n**2/5 - 3182*n. Factor a(r).
3*(r - 2)**2*(r + 1)*(r + 4)/5
Let h(n) be the second derivative of -n**4/9 + 56*n**3/9 - 104*n**2/3 + 656*n. Determine m so that h(m) = 0.
2, 26
Suppose -5*l + 5 = -3*t + 4*t, -4*t - 20 = 0. Let f be ((-112)/3360)/(28/(-1270)) - (2 + (-46)/24). Factor -4/7 - f*n + 2*n**l.
2*(n - 1)*(7*n + 2)/7
Let j(b) be the third derivative of b**7/1785 - 9*b**6/340 + 77*b**5/170 - 605*b**4/204 - 467*b**2. Factor j(s).
2*s*(s - 11)**2*(s - 5)/17
Let j = -84 - -86. Suppose -3*u + 5 = 2*c - 2, 0 = -j*u - c + 5. Factor -3*r - 5*r**u - 20*r**2 + 0*r + 8*r + 20.
-5*(r - 1)*(r + 1)*(r + 4)
Let b be 21132/(-30524)*13/(-3). Determine v, given that -48*v**2 - 52/3 + 10/3*v**b + 62*v = 0.
2/5, 1, 13
Suppose 3*l = 4*o - 31 + 38, -5*o - 32 = 4*l. Let i be (-5)/(-15) - (0 - o/(-36)). Factor -88/9*f**2 + 2/3*f + i.
-2*(4*f - 1)*(11*f + 2)/9
Suppose 4*p - 5 = 5*x - 26, 0 = -x + 1. Let m be ((-8)/(-6))/(p/(-6)). Factor 31*z**5 + 9*z + 3 - 6*z**3 + 6*z**m - 34*z**5 - 1 - 9*z**4 + 1.
-3*(z - 1)*(z + 1)**4
Let i be 6 - 1016/128 - 4*1/(-2). Let w(q) be the first derivative of -1/20*q**5 + 13/8*q**2 - 28 - i*q**4 + 7/12*q**3 + 3/2*q. Factor w(m).
-(m - 3)*(m + 1)**2*(m + 2)/4
Factor -226/3 - 1/3*u**2 - 227/3*u.
-(u + 1)*(u + 226)/3
Let f = 599 + -596. Let j be (-3)/(((-3)/4)/1). Determine w, given that -w**4 + 5*w**j - 4*w**f + 6*w**2 + 4*w - 10*w**4 = 0.
-1, -2/3, 0, 1
Suppose -5*h = 2*s - 255, -51 = -h + s - 0*s. Let v be (1 + 3)*76/152. Factor -4*o + h - 43 + 11*o - o**v.
-(o - 8)*(o + 1)
Let d(x) be the third derivative of x**6/120 + 181*x**5/60 - 61*x**4/4 + 2780*x**2. Find c, given that d(c) = 0.
-183, 0, 2
Find w, given that -130*w - 24*w**2 - 60 - 550*w + 108*w**2 + 31*w**2 = 0.
-2/23, 6
Solve -10585048 + 54644 - 203041 + 249615*c + 5*c**3 - 1935*c**2 = 0 for c.
129
Let k be (-1 + 72/80)*-232. Let y = -22 + k. Solve -4/5*a + 2*a**5 - 14/5*a**4 + 0 - y*a**3 + 14/5*a**2 = 0 for a.
-1, 0, 2/5, 1
Let t(o) be the second derivative of -5*o**7/147 + 58*o**6/105 - 131*o**5/70 - 61*o**4/21 + 136*o**3/21 + 64*o**2/7 - 2880*o. Find f such that t(f) = 0.
-1, -2/5, 1, 4, 8
Let g(q) be the second deriv