 0 for i.
0, 2/3
Let q(m) be the third derivative of 0 + 8*m**2 + 1/9*m**4 - 8/9*m**3 + 0*m - 1/180*m**5. Find h such that q(h) = 0.
4
Suppose 0 = -2*t + 4. Let p be 5 - t - (-2 - -2). Determine r so that -p*r + 3*r**3 + r**2 - 8*r**2 + 7*r**2 = 0.
-1, 0, 1
Let 22/9*d**2 - 2/9*d**3 + 32/9 - 52/9*d = 0. Calculate d.
1, 2, 8
Let m(v) be the first derivative of v**7/5460 + v**6/1170 + v**5/780 + 14*v**3/3 + 17. Let a(j) be the third derivative of m(j). Find n, given that a(n) = 0.
-1, 0
Let q be 1/(-3*6/18). Let k(u) = -u**2 + 5*u + 6. Let f be k(q). Solve 0*y**3 + f + 0*y + 0*y**2 - 2/7*y**4 = 0.
0
Let x = 132 + -130. Let l be ((315/12)/7)/(3/x). Determine r so that 0 + l*r**2 - 7/2*r**3 + r = 0.
-2/7, 0, 1
Suppose 13*j = 12*j - 59. Let q = 62 + j. Factor -1/2*u + 0 - 1/2*u**q + u**2.
-u*(u - 1)**2/2
Suppose 0 = 8*d - 4*d - 5*a + 30, d - 5*a + 15 = 0. Let z = d + 8. Determine k, given that -k + k - 3 + 6*k - z*k**2 = 0.
1
Let f(d) be the first derivative of -2*d**3/3 + d**2/2 + 3*d - 80. Factor f(j).
-(j + 1)*(2*j - 3)
Factor 1/4*s**2 - 1/2*s - 1/4*s**4 + 1/2*s**3 + 0.
-s*(s - 2)*(s - 1)*(s + 1)/4
Let o(u) be the second derivative of -1/12*u**4 - 1/6*u**2 + 13*u + 1/60*u**5 + 0 + 1/6*u**3. Factor o(q).
(q - 1)**3/3
Suppose -188 + 152 = -6*c. Suppose 7*u - 36 = 3*u. Factor -7*z**2 - u*z - c + 2*z**2 + 2*z**2.
-3*(z + 1)*(z + 2)
Suppose 4*l + 3*v = -15, 5 = -5*l - 0*v - v. Factor -7*q**3 - 3 + 7 - 19*q**2 - 6*q - 2*q + l.
-(q + 1)*(q + 2)*(7*q - 2)
Let n(g) be the second derivative of g**7/14 - 9*g**5/20 + g**4/2 + 41*g - 2. Factor n(j).
3*j**2*(j - 1)**2*(j + 2)
Let k(g) = -13*g**4 - 2*g**3 - 5*g**2 + 13*g + 7. Let q(n) = n**4 + n**2 - n - 1. Let y(u) = 2*k(u) + 22*q(u). Let y(i) = 0. What is i?
-2, -1, 1
Let a(r) be the second derivative of r**6/24 - r**5/6 + 5*r**4/24 + 19*r**2/2 + 11*r. Let i(t) be the first derivative of a(t). What is d in i(d) = 0?
0, 1
Let u be ((-32)/6 + 6)*(-7)/(-14). Let r(t) be the second derivative of 0 + 1/2*t**3 + 2/45*t**6 + 0*t**5 - u*t**2 - 2*t - 11/36*t**4. Factor r(o).
(o - 1)*(o + 2)*(2*o - 1)**2/3
Let f = 17024 + -357820/21. Let c = f + 49/3. Suppose -1/7*j**2 - 6/7*j - c = 0. Calculate j.
-3
Factor -16/7*b**2 - 212/7*b - 52/7.
-4*(b + 13)*(4*b + 1)/7
Let i(y) = y**3 - 11*y**2 + y - 8. Let h be i(11). Factor 9 + 12*f + h*f**2 - 8 + 11.
3*(f + 2)**2
Suppose -180 = -m - 3*m. Let g = m - 87/2. Determine f, given that 1/2*f - 3/2*f**2 - 1/2*f**4 + g*f**3 + 0 = 0.
0, 1
Let k = 91119/136 - 670. Let b = 267/680 - k. Let -1/5*r - 2/5 + 1/5*r**3 + b*r**2 = 0. What is r?
-2, -1, 1
Let z(y) be the first derivative of 0*y**2 + 4/15*y**3 - 4/25*y**5 - 1/5*y**4 + 0*y - 9 + 2/15*y**6. Find r, given that z(r) = 0.
-1, 0, 1
Let z(u) be the second derivative of -u**6/70 + 19*u**5/140 - u**4/4 + 5*u**3/42 + u + 58. Factor z(l).
-l*(l - 5)*(l - 1)*(3*l - 1)/7
Let g(w) = -w**4 + 2*w**3 + 5*w**2 + 4*w - 2. Let a(n) = 3*n**4 - 5*n**3 - 15*n**2 - 14*n + 7. Let x(s) = -2*a(s) - 7*g(s). Factor x(h).
h**2*(h - 5)*(h + 1)
Let w(r) be the third derivative of 1/120*r**5 + 1/24*r**4 - r - r**2 + 1/12*r**3 + 0. Let w(u) = 0. Calculate u.
-1
Let r(i) be the second derivative of 121*i**5/80 + 187*i**4/48 + 25*i**3/8 + 9*i**2/8 - i + 38. What is h in r(h) = 0?
-1, -3/11
Let -552/7*x + 78 + 6/7*x**2 = 0. Calculate x.
1, 91
Let x(w) = 35*w**2 - 29*w + 11. Let c(k) = -19*k**2 + 15*k - 6. Let b(t) = -11*c(t) - 6*x(t). Factor b(r).
-r*(r - 9)
Let m be (-82)/(-369) - (-8)/(-9)*-2. Factor 9*l**4 - 20*l**m + 40*l + 5*l**4 + 5*l**5 + 8*l**4 - 17*l**4 - 30*l**3.
5*l*(l - 2)*(l - 1)*(l + 2)**2
Suppose -8*b - b - 2*b = 0. Let p(v) be the third derivative of 0*v + 0*v**4 + 0 + b*v**3 + 5*v**2 - 1/120*v**5. Factor p(w).
-w**2/2
Let l(y) be the third derivative of 2*y**7/105 - 3*y**6/10 - 2*y**5/3 - 135*y**2. Factor l(v).
4*v**2*(v - 10)*(v + 1)
Let i = 37 + -36. Suppose l = 2 + i. Let -2 - 8*o**2 + 5*o - 5*o**l - 3 - 3*o**2 + 16*o**2 = 0. What is o?
-1, 1
Let d(i) = -13*i**3 - 37*i**2 - 43*i - 17. Let j(z) = z**4 - 2*z**3 + 2*z + 1. Let y(t) = d(t) - j(t). Let y(m) = 0. What is m?
-6, -3, -1
Let r be (-13)/(-2) + ((-6)/4)/3. Factor -5*q**2 - r + 2*q**3 + q**2 + 6 - 6*q.
2*q*(q - 3)*(q + 1)
Let u(j) be the third derivative of -1/630*j**7 + 1/60*j**5 + 0*j**3 + 0*j + 0*j**6 + 0 + j**2 + 1/36*j**4. Factor u(k).
-k*(k - 2)*(k + 1)**2/3
Let f = 254 + -250. Let a(z) be the first derivative of -1/2*z**f - 3*z**2 - 2*z - 2*z**3 - 7. Let a(v) = 0. Calculate v.
-1
Let x(p) = -7*p + 100. Let g be x(14). Let m(z) be the first derivative of -1/2*z - 3 - 1/16*z**4 - 1/3*z**3 - 5/8*z**g. Factor m(l).
-(l + 1)**2*(l + 2)/4
Let b(q) = -3*q - 53. Let p(c) = 6*c + 106. Let x(i) = 11*b(i) + 6*p(i). Let s be x(-17). What is r in -2/7*r**s - 8/7*r - 6/7 = 0?
-3, -1
Let k be (-2 - -6)/((-20)/(-9) - 2). Let q be k/30 + 12/(-20). What is a in -2/5*a + 2/5*a**3 + 0 + q*a**2 = 0?
-1, 0, 1
Factor -12/13*g - 2/13*g**3 + 0 + 14/13*g**2.
-2*g*(g - 6)*(g - 1)/13
Let a be (-138)/(-420)*2 + 2/10. Factor a*x**3 + 4/7*x**2 - 6/7*x - 4/7.
2*(x - 1)*(x + 1)*(3*x + 2)/7
Let g(b) be the third derivative of -3*b**5/10 + 11*b**4/8 + b**3 - b**2 - 57. What is p in g(p) = 0?
-1/6, 2
Let q(a) be the first derivative of 9/4*a - 1 + 3/4*a**2 + 1/12*a**3. Solve q(p) = 0 for p.
-3
Let y(h) be the second derivative of h**2 - 34*h + 1/2*h**4 + h**3 + 0 + 1/10*h**5. Let y(l) = 0. What is l?
-1
Let s = -3601 - -3601. Factor 0*r**4 - 4/13*r**2 + 0*r - 6/13*r**3 + 2/13*r**5 + s.
2*r**2*(r - 2)*(r + 1)**2/13
Suppose -5*a + 5*s - 30 = 0, -s - 2 = a - 4. Let b = 5 + a. Determine l, given that -2*l**2 + 4*l**2 + l**4 - l**b + 0*l**5 + l**5 - 3*l**2 = 0.
-1, 0, 1
Suppose -1352/17 - 2/17*m**2 + 104/17*m = 0. What is m?
26
Let y(d) = d**2 - 4*d - 1. Let g = 66 - 65. Let v(h) = h**2 + 1. Let f(b) = g*y(b) - 2*v(b). Solve f(o) = 0.
-3, -1
Let t(g) be the second derivative of -g**6/2160 + g**4/144 + 11*g**3/6 - 13*g. Let a(u) be the second derivative of t(u). Solve a(i) = 0 for i.
-1, 1
Suppose 86*r = -17*r. Solve 4/15 + 2/15*d**3 + r*d**2 - 2/5*d = 0 for d.
-2, 1
Find j such that 0*j**4 - 4*j**4 + 46*j + 2*j**4 + 14*j**2 + 22*j**3 - 6*j - 26*j**3 + 24 = 0.
-2, -1, 3
Let a be 4 + -2 + 0 + -9. Let v = a + 10. Find q such that -3 + v*q**2 + 6 - 2*q - 3 - q**3 = 0.
0, 1, 2
Let h(v) be the third derivative of v**5/90 + 5*v**4/18 + 7*v**3/3 - 150*v**2. Factor h(o).
2*(o + 3)*(o + 7)/3
Let t(z) = -5*z**3 + 22*z**2 - 38*z + 18. Let f(q) = -15*q**3 + 67*q**2 - 113*q + 53. Let p(y) = -3*f(y) + 8*t(y). Determine j, given that p(j) = 0.
1, 3
Let b(i) be the third derivative of -i**7/490 - i**6/140 + 23*i**5/140 + 3*i**4/7 - 72*i**3/7 + 62*i**2. Let b(t) = 0. What is t?
-4, 3
Let z(g) be the first derivative of -g**4/24 + 11*g**3/18 + g**2 + 4. Factor z(t).
-t*(t - 12)*(t + 1)/6
Let l(a) = -a**2 - 8*a + 5. Let j(d) be the first derivative of d**2/2 - d - 2. Let z(o) = -6*j(o) - l(o). Factor z(b).
(b + 1)**2
Let r(l) be the first derivative of 15 - 1/2*l**4 - 2*l**3 + l**2 + 6*l. Solve r(w) = 0 for w.
-3, -1, 1
Let q be ((-3108)/63)/(4/34). Let a = q + 424. Suppose -14/3*p**3 - 2/3 + a*p**2 - 12*p**4 + 2*p - 16/3*p**5 = 0. What is p?
-1, 1/4, 1/2
Let t(s) be the third derivative of s**8/40320 - s**6/4320 - s**4/24 + 2*s**2. Let n(j) be the second derivative of t(j). Factor n(u).
u*(u - 1)*(u + 1)/6
Suppose 3*u = 2*u + 2. Suppose 4*x - 5*k + 7 = 0, k = -k + 6. Factor 0*h**u + h**2 - x*h + 0*h.
h*(h - 2)
Let v(h) be the first derivative of h**6/30 - h**5/5 + h**4/20 + 17*h**3/15 - 11*h**2/5 + 8*h/5 - 413. Factor v(g).
(g - 4)*(g - 1)**3*(g + 2)/5
Suppose 0 = 13*o - 12*o + 1. Let y be o + ((-3)/2)/((-45)/120). Let -1/3*f**4 - f - 5/3*f**y - 7/3*f**2 + 0 = 0. What is f?
-3, -1, 0
Let q(u) be the first derivative of u**7/840 - u**6/180 - 7*u**5/120 - u**4/6 + 13*u**3/3 - 25. Let w(i) be the third derivative of q(i). Factor w(j).
(j - 4)*(j + 1)**2
Let l(s) be the first derivative of 2*s**6/3 - 68*s**5/5 + 31*s**4 - 20*s**3 + 81. Factor l(a).
4*a**2*(a - 15)*(a - 1)**2
Let 21/2*b**3 + 3/2*b**4 + 39/2*b + 45/2*b**2 + 6 = 0. Calculate b.
-4, -1
Let l be (-4)/18 - 87/(-27). Let x(b) be the first derivative of 4 + 4/9*b + 1/6*b**4 - 1/9*b**2 - 8/27*b**l. Factor x(r).
2*(r - 1)**2*(3*r + 2)/9
Let p(w) be the third derivative of -w**6/120 + 