tor d(u).
-4*(u + 2)*(7*u - 2)/5
Let j(s) be the second derivative of 1/4*s**4 + 16*s + 0 + 3/20*s**5 + 0*s**2 - s**3. Suppose j(n) = 0. What is n?
-2, 0, 1
Let l = -99 + 102. Factor -30 + 18*q**2 + 33*q**2 - 41*q**2 - 5*q**l + 25*q.
-5*(q - 3)*(q - 1)*(q + 2)
Let x(s) be the second derivative of -17*s**6/120 - 83*s**5/80 - 109*s**4/48 - 37*s**3/24 + 3*s**2/4 - 268*s. Determine v, given that x(v) = 0.
-3, -1, 2/17
Let o(d) = d**4 - 2*d**3 + d**2 - d + 1. Let f(n) = 10*n**4 + 12*n**3 - 20*n**2 - 68*n - 34. Let u(l) = 2*f(l) - 4*o(l). Factor u(r).
4*(r - 2)*(r + 1)*(2*r + 3)**2
Let w(o) be the second derivative of -3*o**6/10 + 3*o**5/4 + 5*o**4/4 - 5*o**3/2 - 3*o**2 - 44*o. What is q in w(q) = 0?
-1, -1/3, 1, 2
Let x(v) be the second derivative of v**6/40 - v**5/20 - v**4/24 + v**3/6 - v**2/8 + 261*v. Determine z, given that x(z) = 0.
-1, 1/3, 1
Let f(r) = r**3 - 18*r**2 - 82*r + 402. Let n be f(21). Factor 0 + 2/17*k + 2/17*k**n - 4/17*k**2.
2*k*(k - 1)**2/17
Let f(i) be the third derivative of -i**8/672 - i**7/105 - i**6/60 + 113*i**2. What is a in f(a) = 0?
-2, 0
Let d be ((-16)/(-2 - -4))/2. Let n = 20 - d. Factor -n + 264*c + 1470*c**3 - 1008*c**2 - 1029/2*c**4.
-3*(c - 2)*(7*c - 2)**3/2
Let 312*p - 1332/7*p**2 + 24*p**3 - 6/7*p**4 - 1014/7 = 0. What is p?
1, 13
Suppose 11 - 41 = -3*x. Suppose -5*j - a = -j - x, -2*j + 2*a = 0. Find h, given that -1/8*h**j + 0 + 1/8*h = 0.
0, 1
Let t(k) = k**5 + k**2 - 1. Let g(v) = 2*v**5 + 6*v**4 - 4*v**3 - 3*v**2 + 5*v - 3. Let w(o) = -g(o) + 3*t(o). Factor w(s).
s*(s - 5)*(s - 1)**2*(s + 1)
Let k be 2/(-70)*(-154)/264. Let o(x) be the third derivative of 0*x + k*x**6 - 1/168*x**8 - 1/30*x**5 + 0*x**4 + 0 + 0*x**3 + 1/105*x**7 + x**2. Factor o(h).
-2*h**2*(h - 1)**2*(h + 1)
Let f = -3179 + 3179. Factor 0*u - 4/7*u**4 + 0 + f*u**2 - 4/7*u**3.
-4*u**3*(u + 1)/7
Let h(j) = -j**5 - j**2 - 1. Let y(x) = -10*x**5 + 60*x**4 - 225*x**3 + 105*x**2 + 960*x - 1445. Let t(u) = 5*h(u) - y(u). Suppose t(d) = 0. What is d?
-2, 3, 4
Let i(c) be the second derivative of -c**7/2100 - c**6/180 - c**5/100 + 13*c**4/12 - 8*c. Let w(k) be the third derivative of i(k). Solve w(t) = 0.
-3, -1/3
Let x be 4 - (-144)/(-20) - -4. Factor -1/5*n**2 + 3/5*n + x.
-(n - 4)*(n + 1)/5
Let l(n) be the third derivative of -n**6/1440 + n**4/96 - n**3/6 - 10*n**2. Let m(t) be the first derivative of l(t). Factor m(o).
-(o - 1)*(o + 1)/4
Suppose 10*z + 8 - 38 = 0. Suppose -1 = t - z. Suppose -2/3*w**t + 7/3*w**3 - 1/3*w**5 + 8/3 - 4*w + 0*w**4 = 0. What is w?
-2, 1, 2
Let i be 0*(-4)/(-12)*1. Find a, given that -a + 0 + 0 + 2*a**4 - 3*a**2 + a**3 + i + 1 = 0.
-1, 1/2, 1
Determine k, given that 3/2*k**3 + 0*k + 0 + 6*k**2 = 0.
-4, 0
Let q(s) be the second derivative of -s**6/1800 + s**5/120 - s**4/20 - 29*s**3/6 - 15*s. Let i(f) be the second derivative of q(f). Find u, given that i(u) = 0.
2, 3
Let d(i) be the second derivative of -28*i + 0 - 18*i**2 - 4*i**3 - 1/3*i**4. Factor d(a).
-4*(a + 3)**2
Let k be -1 - -6 - (-6 + 8). Let a(b) = 25*b**2 - 35*b - 95. Let c(l) = -2*l**2 + 3*l + 8. Let m(q) = k*a(q) + 35*c(q). Let m(u) = 0. Calculate u.
-1, 1
Let j(o) be the first derivative of -o**5/120 + 5*o**4/72 + o**3/36 - 5*o**2/12 - 25*o + 27. Let k(d) be the first derivative of j(d). Factor k(u).
-(u - 5)*(u - 1)*(u + 1)/6
Let s(l) be the second derivative of 0*l**2 - 17*l - 1/57*l**3 + 0*l**4 + 1/190*l**5 + 0. Factor s(c).
2*c*(c - 1)*(c + 1)/19
Let h(u) = 68*u**2 - 1100*u + 1104. Let n(b) = -14*b**2 + 220*b - 221. Let d(v) = 5*h(v) + 24*n(v). Factor d(t).
4*(t - 54)*(t - 1)
Let v be 301/56 - (-12)/32 - 5. Factor -9/4*i**3 - 9/4*i**4 + 0*i - v*i**5 - 3/4*i**2 + 0.
-3*i**2*(i + 1)**3/4
Suppose 0 = -5*f - 15, -4 - 9 = p + 5*f. What is u in -2*u**2 + 3*u + p*u**4 + 38*u**5 - 37*u**5 - 4*u = 0?
-1, 0, 1
Let k(u) be the second derivative of -1/360*u**6 + 0 - 1/9*u**4 - 1/36*u**5 - 5*u + 7/2*u**2 - 2/9*u**3. Let d(s) be the first derivative of k(s). Factor d(t).
-(t + 1)*(t + 2)**2/3
Let r be ((-364)/637)/((3/7 - -1)/(-4)). Solve r*l**4 - 4/5*l - 4/5*l**5 - 16/5*l**2 + 8/5 + 8/5*l**3 = 0 for l.
-1, 1, 2
Let t(x) = -12*x + 38. Let l be t(3). Let s(w) be the second derivative of 0 + 0*w**3 + 1/10*w**5 + 0*w**4 + 0*w**2 + l*w. Factor s(j).
2*j**3
Let w be (-25 + (16 - -9))/(-3). What is r in -2/11*r**2 + w + 6/11*r = 0?
0, 3
Suppose 64*g**2 + 53*g - 4*g + 18*g - 65*g**2 = 0. Calculate g.
0, 67
Let b(n) be the second derivative of -n**4/28 + 5*n**3/7 - 75*n**2/14 + 119*n. Find j such that b(j) = 0.
5
Suppose 99*q + 36*q = 0. Factor 0*z + 2/21*z**4 + 2/21*z**2 + 4/21*z**3 + q.
2*z**2*(z + 1)**2/21
Let k be 2/6 + 191/(-4011). Factor -k*h**2 - 2/21*h + 2/21*h**3 + 2/7.
2*(h - 3)*(h - 1)*(h + 1)/21
Let i(p) be the third derivative of -p**9/211680 + p**8/17640 - p**7/4410 + p**5/20 - 12*p**2. Let o(c) be the third derivative of i(c). Factor o(z).
-2*z*(z - 2)**2/7
Suppose 11 = 7*s - 10. Let r(g) be the first derivative of -24*g - 30*g**s + 27/4*g**4 + 6 + 42*g**2. Solve r(u) = 0 for u.
2/3, 2
Let m = 2791 + -5581/2. Factor 3/2*w + 3/2*w**2 + 1/2*w**3 + m.
(w + 1)**3/2
Let b(n) = n + 13. Let z be b(-4). Suppose 23 = z*c - 4. Factor -1/4 - 3/2*y**2 - 1/4*y**4 - y**c - y.
-(y + 1)**4/4
Let -58/19*g**2 - 2/19*g**4 + 0*g + 60/19*g**3 + 0 = 0. What is g?
0, 1, 29
Suppose -95 = -l - 91. Let t(j) be the first derivative of 2/39*j**3 - 1/26*j**l - 2/65*j**5 + 0*j**2 - 3 + 1/39*j**6 + 0*j. Let t(c) = 0. What is c?
-1, 0, 1
Let p(o) = -8*o**3 + 21*o**2 - 13*o - 5. Let n = -97 + 102. Let g(y) = -52*y**3 + 136*y**2 - 84*y - 32. Let l(q) = n*g(q) - 32*p(q). Solve l(w) = 0.
0, 1
Factor 0*u - 5*u**3 + 0*u**2 + 0 + 5/2*u**5 - 5/2*u**4.
5*u**3*(u - 2)*(u + 1)/2
Let f(l) be the second derivative of -1/3*l**2 + 0 + 1/18*l**4 - 5*l + 0*l**3. Factor f(k).
2*(k - 1)*(k + 1)/3
Let u(j) be the third derivative of -j**7/42 + 3*j**6/4 - 37*j**5/12 - 165*j**4/2 - 1210*j**3/3 + 882*j**2. Determine c so that u(c) = 0.
-2, 11
Suppose -11*z - 19 + 63 = 0. Suppose -2/7*x**2 + 9/7 + 1/7*x**z + 12/7*x - 4/7*x**3 = 0. Calculate x.
-1, 3
Suppose -6*n + 32*n + 6630 = 0. Let a = n + 1787/7. Find p such that 0*p + a*p**2 + 0 = 0.
0
Let z(k) be the second derivative of k**7/105 + 4*k**6/75 + 2*k**5/25 - k**4/15 - k**3/3 - 2*k**2/5 - 199*k. Suppose z(u) = 0. Calculate u.
-2, -1, 1
Suppose -357*t = -310*t - 94. Let u(v) be the first derivative of 0*v**t + 7 + 0*v + 2/3*v**3 + 1/2*v**4. Factor u(h).
2*h**2*(h + 1)
Suppose 6*v + 79 = 97. Factor -7*p**2 - 6*p**3 + 9*p**v - 3*p + p**2 + 6.
3*(p - 2)*(p - 1)*(p + 1)
Find n such that -200/3*n - 2500/3 - 4/3*n**2 = 0.
-25
Let m(h) = 7*h + 97. Let r be m(-13). Let s(t) be the second derivative of 0 + 1/12*t**4 + 1/2*t**2 - 1/20*t**5 - 4*t - 1/45*t**r + 7/18*t**3. Solve s(a) = 0.
-1, 3/2
Let m(b) be the second derivative of -85*b**4/12 + 5*b**3/3 - 2*b. Factor m(o).
-5*o*(17*o - 2)
Let o = 47 + -84. Let x = 112/3 + o. Factor x*b**2 + 4/3 - 4/3*b.
(b - 2)**2/3
Let g = -5 - 26. Let m = g + 31. Factor m - 4/3*k + 14/3*k**2 - 10/3*k**3.
-2*k*(k - 1)*(5*k - 2)/3
Let z = -1630 + 1633. Let a(t) be the third derivative of 1/240*t**6 + 0*t - 1/24*t**4 + 0 - 11*t**2 + 1/120*t**5 + 0*t**z. Factor a(h).
h*(h - 1)*(h + 2)/2
Let f(y) be the first derivative of y**5/70 + 2*y**4/21 + y**3/7 + 7*y + 9. Let m(p) be the first derivative of f(p). Factor m(l).
2*l*(l + 1)*(l + 3)/7
Let g be (-127)/(-33) - 3 - (32/(-48))/(-1). Factor 8/11*s - 8/11 - g*s**2.
-2*(s - 2)**2/11
Let n = 731700/19 - 38510. Factor -n*c + 8/19 + 2/19*c**2.
2*(c - 4)*(c - 1)/19
Let m = -327 - -982/3. Let n(z) be the second derivative of -2*z**2 + 7*z - m*z**3 + 1/3*z**4 + 1/10*z**5 + 0. Factor n(l).
2*(l - 1)*(l + 1)*(l + 2)
Let l = 616/3 - 202. Let r(p) be the third derivative of -l*p**3 + 1/24*p**6 + 5/3*p**4 - 9*p**2 + 0*p + 0 - 5/12*p**5. What is o in r(o) = 0?
1, 2
Let f = -917 - -921. Determine p so that 0*p + 1/4*p**3 + 0 + 0*p**2 - 1/4*p**f = 0.
0, 1
Let y(c) be the third derivative of 11*c**8/112 - 32*c**7/35 + 87*c**6/40 + 9*c**5/10 - 550*c**2. Suppose y(q) = 0. What is q?
-2/11, 0, 3
Suppose -1/2*b**4 + 0*b**2 + 1/2 + b**3 - b = 0. What is b?
-1, 1
Let l(n) be the second derivative of -n**6/16 - 3*n**5/40 + n**4/8 - 15*n**2/2 + 7*n. Let i(p) be the first derivative of l(p). Find a such that i(