 -8*r + 7*r**2 + 4 + r**2 - 6*r**2 + 2*r**2.
4*(r - 1)**2
Let g be (-2 - -3)*-3*4. Let r be (2 - g/(-9))/2. Factor -7/3*i**5 + 2/3*i - r*i**2 + 0 - 19/3*i**4 - 5*i**3.
-i*(i + 1)**3*(7*i - 2)/3
Let d(j) be the third derivative of j**5/210 - j**4/28 + 2*j**3/21 - 5*j**2. Factor d(i).
2*(i - 2)*(i - 1)/7
Let r(z) be the second derivative of 3*z**5/20 - z**4/4 - z**3 + 2*z. Determine s, given that r(s) = 0.
-1, 0, 2
Let n(f) be the first derivative of f + 1/20*f**5 - 1/3*f**3 + 0*f**2 - 3 + 1/12*f**4. Let z(q) be the first derivative of n(q). Find o such that z(o) = 0.
-2, 0, 1
Let c(x) be the third derivative of -x**6/120 - x**5/60 + 5*x**4/24 - x**3/2 + 4*x**2. Let c(y) = 0. What is y?
-3, 1
Let f = -11 - -11. Suppose -4*z + 3*z + 3 = f. Suppose 0*b + 1/5*b**z + 0 + 2/5*b**2 = 0. Calculate b.
-2, 0
Suppose -4*r - 31 = 5*f + 15, 3*r + 24 = -2*f. Let s be (f - -6) + (-12)/(-2). Factor -b - 3*b**3 + 9*b**2 + b**4 - 2*b**3 + 2 - s*b.
(b - 2)*(b - 1)**3
Factor 0*h**4 - 2*h**4 + 5*h**4 - 5*h**3 - h**3.
3*h**3*(h - 2)
Let m(p) = -p**2 + 11*p + 14. Let v be m(12). Determine s, given that 6*s - 10*s**4 - 4 + 19*s**2 - 4*s**3 - 5*s**v - 3*s**3 + s**3 = 0.
-1, 2/5, 1
Let c(q) be the third derivative of 0*q**4 + 1/120*q**6 + 2/105*q**7 + 0*q + 1/112*q**8 + 0*q**3 + 0*q**5 + 0 - 3*q**2. Suppose c(b) = 0. Calculate b.
-1, -1/3, 0
Let f(a) be the second derivative of -1/12*a**4 + 5*a + 0 + 0*a**3 - 1/20*a**5 + 0*a**2. Determine n, given that f(n) = 0.
-1, 0
Let g = 152 + -455/3. Factor -1/3*l**2 + 0 - g*l.
-l*(l + 1)/3
Let s be 5 - 2*((-1)/2 - -1). Let c(g) be the third derivative of 0*g + g**2 + 0 - 1/9*g**s + 4/9*g**3 + 1/90*g**5. Factor c(y).
2*(y - 2)**2/3
Let t(x) = x**3 - 7*x**2 - 8*x + 3. Let s be t(8). Let j(c) be the second derivative of 0 + 2*c + c**s + 1/6*c**4 + 2*c**2. Let j(f) = 0. What is f?
-2, -1
Let w(h) be the third derivative of h**7/5040 + h**6/720 - h**5/80 + h**4/8 + h**2. Let m(z) be the second derivative of w(z). Determine f, given that m(f) = 0.
-3, 1
Let q(g) be the second derivative of -g**5/10 + g**4/3 - g**3/3 + 5*g. Factor q(b).
-2*b*(b - 1)**2
Let b(d) be the third derivative of -d**5/360 + d**4/144 + d**3/18 - d**2. Determine z so that b(z) = 0.
-1, 2
Let g be -2*14*(-4)/16. Factor -g*i**3 + i**2 - i + 1 - 2 + 8*i**3 + 0*i.
(i - 1)*(i + 1)**2
Let q(a) be the second derivative of -1/6*a**3 - a - 1/24*a**4 + 1/120*a**5 + 0*a**2 - 1/1440*a**6 + 0. Let v(m) be the second derivative of q(m). Factor v(b).
-(b - 2)**2/4
Let a(y) be the second derivative of -y**5/80 - y**4/16 - y**3/12 + 2*y. Determine c, given that a(c) = 0.
-2, -1, 0
Let m be (3 + 24/(-8))/(2 - 3). Let 0*x**3 + m + 0*x + 2/5*x**2 - 2/5*x**4 = 0. What is x?
-1, 0, 1
Let s = 6 - 4. Let h be (-1)/(-4) - 9/(-60). Factor -h*b**3 + 2/5*b**4 - 2/5*b**s + 0 + 2/5*b.
2*b*(b - 1)**2*(b + 1)/5
Let x be 2 + (9/3)/3. Suppose 5*q + 3 = 4*d, -x*q = 7*d - 2*d - 13. Factor f**3 + q + 0*f + 3*f**2 + 3*f + 0.
(f + 1)**3
Let f(x) be the second derivative of x**7/42 + x**6/30 - x**5/20 - x**4/12 - 7*x. Find l, given that f(l) = 0.
-1, 0, 1
Let n = 13 + 4. Let o = n - 14. Determine m, given that 14*m**o + 234/5*m**2 - 392/5*m**4 + 8/5 + 16*m = 0.
-2/7, -1/4, 1
Determine n so that 2/9*n**3 + 2/9*n + 0 + 4/9*n**2 = 0.
-1, 0
Let l(k) be the first derivative of k**5/15 - k**4/3 + 4*k**3/9 - 11. Factor l(r).
r**2*(r - 2)**2/3
Let c(h) be the third derivative of h**6/24 - h**5/20 - h**4/2 - 2*h**3/3 + 3*h**2. Find m such that c(m) = 0.
-1, -2/5, 2
Let l(s) be the first derivative of -s**6/105 + s**5/35 - s**4/42 - 4*s + 3. Let i(q) be the first derivative of l(q). Suppose i(v) = 0. What is v?
0, 1
Let u(j) be the second derivative of -j**5/30 - j**4/30 + j**2 + 4*j. Let n(d) be the first derivative of u(d). What is s in n(s) = 0?
-2/5, 0
Let t(x) = x**2. Suppose -4*j - 4 = -12. Let h(s) = -2*s**2 + j*s**2 + 2*s**2. Let v(r) = -4*h(r) + 7*t(r). What is i in v(i) = 0?
0
What is a in -25*a**2 - 27*a**2 - 3*a**3 + 61*a**2 = 0?
0, 3
Let y(k) be the third derivative of 1/105*k**7 - 1/30*k**6 + 0*k**3 + 0*k**4 + 1/168*k**8 + 3*k**2 + 0*k**5 + 0*k + 0. Determine v, given that y(v) = 0.
-2, 0, 1
Let a(f) be the first derivative of f**4/24 + 7*f**3/18 + 11*f**2/12 + 5*f/6 + 12. Factor a(i).
(i + 1)**2*(i + 5)/6
Let u(r) be the third derivative of -13/420*r**6 - 1/294*r**8 - 1/84*r**4 + 1/35*r**5 + 0*r + 0 + 0*r**3 + 2*r**2 + 4/245*r**7. Suppose u(o) = 0. What is o?
0, 1/2, 1
Let u = -1357/154 + 62/7. Let c(n) be the first derivative of 0*n**2 + 0*n**3 + 1/33*n**6 + 0*n - 2 + u*n**4 + 4/55*n**5. Solve c(b) = 0.
-1, 0
What is p in -26*p + 3 - 104/3*p**3 + 193/3*p**2 + 16/3*p**4 = 0?
1/4, 3
Let r = -38 + 40. Factor 3*j + 7/3*j**r + 2/3.
(j + 1)*(7*j + 2)/3
Factor -6*b - 36 - 1/4*b**2.
-(b + 12)**2/4
Let n(t) = 4*t**3 - 8*t**2 + 12*t. Let q(v) = -v**3 + v**2. Let d(g) = -n(g) - 6*q(g). Factor d(u).
2*u*(u - 2)*(u + 3)
Find q, given that 3*q**3 - 8*q**4 + 20*q**4 + q**3 + 10*q**5 - 5*q**5 = 0.
-2, -2/5, 0
Let t be (-8)/(-36)*1 + 15/54. Factor 1/4*g**2 - t*g + 1/4.
(g - 1)**2/4
Factor -4/9*j**3 - 7/9*j**2 - 2/9*j + 1/9.
-(j + 1)**2*(4*j - 1)/9
Factor 3/7*n**2 + 6/7*n + 3/7.
3*(n + 1)**2/7
Let -39*i**3 - 13*i**2 - 26*i**2 - 174*i + 168*i + 84*i**4 = 0. What is i?
-2/7, -1/4, 0, 1
Let h(u) = -u**2 + 5*u - 4. Let f be h(3). Factor 6*q**2 - 2*q**f - 5*q**2.
-q**2
Let a(z) be the second derivative of 4*z - 1/4*z**2 + 1/48*z**4 - 1/24*z**3 + 0. Factor a(f).
(f - 2)*(f + 1)/4
Let d be (-5)/50*2 - 11/(-5). Suppose 15 = 3*n - 3*s, s - 3*s = -3*n + 10. Solve n*i**5 - 5*i + i**3 + i**5 + 3*i**3 + d + 2*i**2 - 4*i**4 = 0.
-1, 1, 2
Suppose 4*w - 3*s - 22 = 2*s, -w = -4*s - 11. Suppose o = -5*f - o + 14, -4 = f - 3*o. Factor -x - 6*x**w - 9/2*x**f + 0 - 5/2*x**4.
-x*(x + 1)**2*(5*x + 2)/2
Let p be 16 + ((-3)/(-3))/1. Suppose -52 + p = -5*u. Solve -u*m**5 + 18*m**3 - 3*m**4 - 7*m**4 - 4*m - 7*m**5 + 10*m**2 = 0 for m.
-1, 0, 2/7, 1
Suppose 2*p + 8 = 0, 3 = -2*i - 3*p - 5. Factor 1 - 3 + 5 - 1 - 2*h**i.
-2*(h - 1)*(h + 1)
Let q(t) = t**3 - 5*t**2 + t - 3. Let s be q(5). Let f be ((-2)/s)/(1/(-4)). Solve f*l - 2*l**2 - 7 + 7 = 0.
0, 2
Let w(r) = r**2 + 4*r - 6. Let a be w(-6). Let n be ((-4)/a)/((-2)/3). Factor 5*s**2 + s - n - s**2 - 4*s.
(s - 1)*(4*s + 1)
Let n(j) = j**2 + 6*j - 11. Let z be n(-8). Factor -26*b**4 + 3*b**4 - 54*b**3 - z*b**4 - 2*b + 83*b**3 + b**2.
-b*(b - 1)*(4*b + 1)*(7*b - 2)
Let i(m) = -m - 6. Let h be i(-7). Let p be 4 + -2 - (-1 + h). Let -6*s - 4*s**3 - 3*s**p + s - 5*s**2 - 1 = 0. Calculate s.
-1, -1/2
Factor -24 - 4/3*w**2 - 76/3*w.
-4*(w + 1)*(w + 18)/3
Let j(t) be the second derivative of -t**4/6 - t**3/3 - 7*t. Factor j(r).
-2*r*(r + 1)
Let t(w) be the first derivative of -w**8/8400 + w**6/1800 - 4*w**3/3 + 2. Let g(y) be the third derivative of t(y). Solve g(c) = 0.
-1, 0, 1
Let m = 29 + -26. Let y(l) be the third derivative of 2*l**2 + 0 + 1/72*l**4 - 1/180*l**5 + 0*l**m + 0*l. Find k such that y(k) = 0.
0, 1
Let b = 163/124 - 2/31. Suppose 0 + 1/2*w - 5/4*w**4 - 1/2*w**3 + b*w**2 = 0. What is w?
-1, -2/5, 0, 1
Let c(g) be the second derivative of -4/3*g**3 + 0 - 2*g**2 - 10*g - 1/3*g**4. Solve c(t) = 0 for t.
-1
Suppose 0 = -a - a - 5*c - 8, -4*a - c = -2. Let w(m) be the first derivative of 0*m + 0*m**2 - a + 2/21*m**3. Suppose w(n) = 0. What is n?
0
Let m be 443/(-1050) + 33/77. Let i(v) be the third derivative of 0 + 1/15*v**3 + m*v**5 + 0*v + 1/30*v**4 - 2*v**2. Factor i(c).
2*(c + 1)**2/5
Let j(z) = 3*z + 10. Let o be j(-4). Let x be (-2 - 0 - o) + 2. Factor -4/3*i**x - 10/3*i**4 + 0*i - 14/3*i**3 + 0.
-2*i**2*(i + 1)*(5*i + 2)/3
Let h(r) = r**3 + r**2 + 2. Let k be h(0). Find x, given that -7*x**2 + 4*x**3 + 7*x**k + 12*x**5 - 4*x + 10*x**2 - 22*x**4 = 0.
-2/3, 0, 1/2, 1
Suppose -2*f = 2*f - 20. Let j(l) be the third derivative of 0 - 1/18*l**4 - 2*l**2 + 0*l**3 - 1/90*l**f + 0*l. Factor j(w).
-2*w*(w + 2)/3
Let l(h) be the third derivative of h**5/10 + 5*h**4/12 - 2*h**3/3 + 6*h**2. Find q, given that l(q) = 0.
-2, 1/3
Let d be -3 - -1 - (-16 - 5). Let v = d - 8. Suppose a**4 - 4*a**5 + 13*a**5 + 3*a**3 + v*a**4 = 0. Calculate a.
-1, -1/3, 0
Let h = 16049498/795 - 60563/3. Let n = 1/53 + h. Factor 0 + 0*p + n*p**3 + 2/5*p**2.
2*p**2*(p + 1)/5
Let u(y) = 17*y**4 + 25*y**3 - 5*y**2 