ative of -o*v**2 + 1/120*v**5 + 11/12*v**3 + 0*v - 1/4*v**4 + 0. Factor s(n).
(n - 11)*(n - 1)/2
Let u be 8/(-56)*(0 + -47). Let d = -113/21 + u. Solve 2 - 4*r**3 - 10/3*r**4 + d*r**2 - 2/3*r**5 + 14/3*r = 0.
-3, -1, 1
Let j(w) be the first derivative of w**7/210 + w**6/40 - w**5/3 - 2*w**4 + 32*w**3/3 - 45*w**2/2 + 22. Let s(l) be the second derivative of j(l). Factor s(v).
(v - 4)*(v - 1)*(v + 4)**2
Let a(m) be the first derivative of 105 + 3/4*m**4 + 0*m + 27/4*m**3 - 21/8*m**2. Factor a(s).
3*s*(s + 7)*(4*s - 1)/4
Let t(u) = -u**2 + 14*u + 25. Let g be t(14). Let n = 73 - 40. Factor -6*w**2 + n - g - 3*w**3 + 6*w**3 - w**3.
2*(w - 2)**2*(w + 1)
Let a(q) be the first derivative of -q**4/4 - 22*q**3 + 68*q**2 + 1043. Factor a(m).
-m*(m - 2)*(m + 68)
Let g(b) = -b**3 - b - 1. Let q be 1*4/(16/(-4)). Let j(a) = a**3 + 9*a**2 - 12*a + 2. Let o(n) = q*j(n) - 2*g(n). Find p such that o(p) = 0.
0, 2, 7
Let z be -1*(5 + 0 + (-20 - -10)). Let i(r) be the third derivative of 0*r - 28*r**2 + 1/3*r**3 + 0 + 1/15*r**4 - 1/150*r**z. Factor i(o).
-2*(o - 5)*(o + 1)/5
Let x(h) be the first derivative of h**5/15 - 17*h**4/12 + 86*h**3/9 - 86*h**2/3 + 40*h + 7605. Suppose x(v) = 0. Calculate v.
2, 3, 10
Suppose 5*x + 65*c = 61*c - 24, 0 = x - c - 6. Let z(a) be the second derivative of a**4 + 4/3*a**3 + 1/5*a**5 - 8*a + x*a**2 + 0. Factor z(w).
4*w*(w + 1)*(w + 2)
Let l be 6/(-4) - (79016/(-1456) - -52). Solve -4/13 + 2/13*g**3 - 6/13*g**2 + 2/13*g**4 - l*g = 0.
-1, 2
Suppose -5*b + 3*i = 8*i - 15, -i + 6 = 2*b. Factor -47*l**3 - 3*l**4 + 3*l**2 - 6*l + 29*l**b + 24*l**3.
-3*l*(l - 2)*(l - 1)*(l + 1)
Let d(k) be the first derivative of -k**4/4 - 2*k**3/3 + 35*k**2/2 - 5584. Suppose d(o) = 0. What is o?
-7, 0, 5
Let s(y) = -67 + 44 + 61*y + 25*y - 6*y**2 - 43. Let m(c) = -3*c**2 + 44*c - 33. Let w(n) = -7*m(n) + 4*s(n). Find d such that w(d) = 0.
1, 11
Let i be ((-3)/15)/((-5)/(-75)). Let o be (4 + -3)*i/(-6). Factor -o*d**2 + 5/8*d + 1/8*d**3 - 1/4.
(d - 2)*(d - 1)**2/8
What is k in 4/13*k**3 + 0*k + 0*k**2 + 14/13*k**4 - 8/13*k**5 + 0 = 0?
-1/4, 0, 2
Let l(a) = -97*a**2 + 296*a - 148. Let j(d) = -65*d**2 + 197*d - 99. Let c(i) = -8*j(i) + 5*l(i). What is g in c(g) = 0?
26/35, 2
Let m(a) be the third derivative of a**6/60 + 2*a**5 + 391*a**4/4 + 7406*a**3/3 + 2141*a**2. Factor m(x).
2*(x + 14)*(x + 23)**2
Let b(v) be the second derivative of -v**7/168 - v**6/30 + v**5/5 + 4*v**4/3 - 2592*v. Factor b(l).
-l**2*(l - 4)*(l + 4)**2/4
Let a(h) be the second derivative of -h**7/294 + 13*h**6/210 + 3*h**5/14 - 528*h + 2. Determine j, given that a(j) = 0.
-2, 0, 15
Suppose 0 = 23*j - 21*j + 8450. Let l = j - -46515/11. Factor -18/11*p**4 - 8/11*p**2 + l*p**3 + 0 + 0*p.
-2*p**2*(p - 2)*(9*p - 2)/11
Suppose 0 + 600*b**2 + 0*b + 39*b**4 + 555/2*b**3 + 3/2*b**5 = 0. What is b?
-16, -5, 0
Determine i, given that 1950/7*i + 2/7*i**3 + 114/7*i**2 + 1250 = 0.
-25, -7
Let p = -7 - -163/23. Let d be (-14)/12 - ((-2747)/(-5658) + -2). What is o in -6/23*o**2 + d + 0*o + p*o**3 = 0?
-1, 2
Let x(w) be the second derivative of 216*w**6 - 18*w**5 - 6475*w**4/12 + 60*w**3 - 5*w**2/2 + 534*w. Let x(u) = 0. What is u?
-1, 1/36, 1
Suppose 32*b - 29*b - 186 = 0. Suppose -187*d + 156*d = -b. Solve 2/9*h - 4/3*h**2 + d*h**3 + 0 = 0.
0, 1/3
Suppose 1089575*a**3 + 5*a**5 - 1089575*a**3 = 0. Calculate a.
0
Let k(l) be the first derivative of 2*l**3/9 - 9*l**2 - 116*l/3 + 2063. Factor k(t).
2*(t - 29)*(t + 2)/3
Let c(h) = 17*h**2 - 6*h + 12. Let u(s) = 42*s**2 - 11*s + 22. Let n(l) = 15*c(l) - 6*u(l). Factor n(a).
3*(a - 4)**2
Let -126*i**2 + 1464*i - 8*i**3 - 1456 + 10*i**3 - 246*i**2 = 0. What is i?
2, 182
Let c be (-110)/8 - ((-1 - -18) + (-161 - -130)). Factor 1/4*k**4 - 1/4*k**5 + 1/2*k**3 - 1/2*k**2 + c - 1/4*k.
-(k - 1)**3*(k + 1)**2/4
Factor -1/2*w**2 - 971*w - 942841/2.
-(w + 971)**2/2
Determine b, given that -41 + 20*b**3 - 60*b - 15*b**4 - 21*b**4 + 10*b**2 - 4 + 31*b**4 = 0.
-1, 3
Let o = -342 + 376. Let s(c) = -8*c + 272. Let b be s(o). Factor 0*v**2 + 0*v**3 + 1/4*v**4 + b + 0*v - 1/4*v**5.
-v**4*(v - 1)/4
Let n(k) be the first derivative of -k**6/180 + k**4/12 + 2*k**3/9 + 35*k**2/2 - 12. Let l(m) be the second derivative of n(m). Solve l(w) = 0.
-1, 2
Let f = 11531 - 11531. Let l(g) be the third derivative of 0*g + 8/135*g**5 + 8/27*g**4 + f - 7/270*g**6 + 36*g**2 + 2/945*g**7 + 0*g**3. Factor l(h).
4*h*(h - 4)**2*(h + 1)/9
Let p(g) = -6*g**2 + 8*g - 2. Let k(z) be the second derivative of z**5/20 - z**3/6 + 9*z - 7. Let t(v) = -2*k(v) - p(v). Factor t(r).
-2*(r - 1)**3
Let u(s) = 16*s**2 - 122*s - 220. Let k(n) = 3*n**2 - 24*n - 44. Let c = 163 - 130. Let l(a) = c*k(a) - 6*u(a). Factor l(p).
3*(p - 22)*(p + 2)
Let h(v) be the third derivative of -v**7/840 + v**6/120 + v**5/60 - v**4/6 + 11819*v**2. Find u, given that h(u) = 0.
-2, 0, 2, 4
Let p = -139183 + 139183. Factor 4/3*i**4 - 37/3*i**3 + 68/3*i**2 - 12*i + p + 1/3*i**5.
i*(i - 2)**2*(i - 1)*(i + 9)/3
Let j(s) be the second derivative of -s**6/6 + s**5 + 5*s**4/4 - 15*s**3 - 308*s + 2. Factor j(c).
-5*c*(c - 3)**2*(c + 2)
Let c(z) be the first derivative of 5*z**4/12 - 30*z**3 + 810*z**2 - 9*z - 105. Let r(h) be the first derivative of c(h). Factor r(a).
5*(a - 18)**2
Suppose -q + 0*q = -4*s + 6, 3*q - 4*s - 14 = 0. Suppose 7*k - 4 - q = 0. Determine z, given that -6*z**2 - 7*z**2 - 10 + 0*z - 2*z**3 + 18*z + 7*z**k = 0.
-5, 1
Let h(i) = i**4 - i**3 - i**2 + 3. Let p(f) = -9*f**4 + 44*f**3 - 94*f**2 + 100*f - 57. Let g(d) = 24*h(d) + 3*p(d). Suppose g(z) = 0. Calculate z.
1, 33
Suppose -12/11*i**2 - 2/11*i**5 + 0*i + 0 - 8/11*i**4 + 2*i**3 = 0. Calculate i.
-6, 0, 1
Suppose 4*y - 10 = 70. Let b = y - 16. Factor -7*p**2 - 4 - 10*p**3 - 2*p**b - 14*p - 11*p**2 + 0*p**3.
-2*(p + 1)**3*(p + 2)
Let w(a) be the third derivative of -1/8*a**5 + 21/16*a**4 - 49/12*a**3 + 1/240*a**6 - 71*a**2 + 0 + 0*a. Determine s so that w(s) = 0.
1, 7
Let 40*s**2 + 71/2*s**3 - 24/5 + 113/10*s**4 + 34/5*s + 6/5*s**5 = 0. Calculate s.
-4, -3, -2, -2/3, 1/4
Let n be ((-57)/(-152))/(3/24). Suppose -2235*r**4 - 2704*r**n + 1109*r**3 - 570*r**2 - 40 + 380*r + 1630*r**4 = 0. What is r?
-2, -1, 2/11
Let y be (-120)/(-100) + 4/35*728/39. Factor 28/9*f - 2/9*f**2 + y.
-2*(f - 15)*(f + 1)/9
Suppose 199 - 99 = 42*p - 68. Let i(a) be the first derivative of -2*a**2 + a**3 + 0*a + p + 1/4*a**4. Factor i(j).
j*(j - 1)*(j + 4)
Suppose 2*t - 12 - 34 = -3*w, 3*t + 51 = 3*w. Factor 17*m**2 - 385 + 383 + w*m - m.
(m + 1)*(17*m - 2)
Suppose -47 = 5*b - 4*b. Let s = b - -49. What is o in 3*o - 8 + 1 + 19*o**s - 7*o**2 - 6*o**4 + 1 + 3*o**5 - 6*o**3 = 0?
-1, 1, 2
Suppose -3*i = -u + 2*u - 10, -5*i = -3*u + 2. Solve 184*w**3 + w**5 + 126*w**u + 100*w**2 - 2800*w - 152*w**4 - 20*w**2 - 4000 = 0 for w.
-2, 10
Let d(u) be the second derivative of -2/21*u**7 - 8/15*u**6 + 0*u**3 - 29 - 2*u - 2/3*u**4 + 0*u**2 - u**5. Suppose d(a) = 0. Calculate a.
-2, -1, 0
Suppose -13 = -4*t - i, -6 = -5*t + 2*i + 20. Suppose 115*a + 6*h = 110*a + 15, 0 = a - 4*h - 3. Solve 12/7*j - 78/7*j**a - 22/7*j**2 + 0 + 4*j**t = 0.
-1/2, 0, 2/7, 3
Let k be 3 + ((-1)/(-2))/(28/(-1638)*13). Find p, given that 3 - 15/8*p**2 + 3/8*p**3 + k*p = 0.
-1, 2, 4
Suppose 9934*i - 9707*i = 7491. Solve -12*a**3 - 36*a + i*a**2 + 3/2*a**4 + 27/2 = 0 for a.
1, 3
Suppose 10*p - 6 = -36. Let v be 1/(-3) + 0 + (-13)/p. Factor 41*m**2 + 6*m**v + 35*m + 1 + 25*m**3 - m**4 + 4*m**2 + 9.
5*(m + 1)**3*(m + 2)
Let l(w) = -w**2 - w - 1. Let z be -4*((-5)/4 - 3/(-4)). Suppose z - 4 = n. Let x(k) = -6*k**2 - 11*k - 3. Let h(r) = n*x(r) + 14*l(r). Let h(a) = 0. What is a?
2
Let u = 220 + -218. Find r, given that 11*r**2 + 566*r**3 + 231*r - 563*r**3 + 726 - 71*r**u = 0.
-2, 11
Let p(t) be the second derivative of -t**6/720 + 17*t**5/240 - 11*t**3 + 19*t. Let z(l) be the second derivative of p(l). Factor z(s).
-s*(s - 17)/2
Suppose 0*h - 2*h = -4*t - 30, h + 2*t - 7 = 0. Determine i, given that 8*i**2 - 36*i**3 + 51*i**2 - 5*i**2 + h*i**2 + 124*i + 24 - i**2 = 0.
-1, -2/9, 3
Let h(t) be the third derivative of -t**5/140 + 397*t**4/14 - 315218*t**3/7 - 56*t**2. Factor h(p).
-3*(p - 794)**2/7
Let q(d) be the first derivative of 95*d**6/2 + 4701*d**5/5 + 531*d**4 - 700*d**3 + 96*d**2 + 1971. Suppose q(i) = 0. Calculate i.
-