x - 3*x**4.
2*x*(x - 3)**2*(x + 19)
Let t(n) be the second derivative of -50*n - 2/3*n**4 - 2/5*n**6 + 0*n**2 + n**5 + 0 + 0*n**3. Find r, given that t(r) = 0.
0, 2/3, 1
Let o(c) be the second derivative of -1/110*c**5 + 4*c + 0 + 0*c**2 + 0*c**4 + 1/33*c**3. Find z, given that o(z) = 0.
-1, 0, 1
Let r(l) be the second derivative of 3/160*l**5 + 3/16*l**2 - 1/32*l**4 + 45*l - 1/16*l**3 + 0. Let r(g) = 0. Calculate g.
-1, 1
Let w(s) be the first derivative of s**7/945 - s**6/540 - s**5/54 - s**4/36 - 3*s**2/2 + 12*s + 3. Let m(v) be the second derivative of w(v). Factor m(c).
2*c*(c - 3)*(c + 1)**2/9
Factor -56/9*h + 2/9*h**2 + 392/9.
2*(h - 14)**2/9
Suppose -4849*p**3 - 2 + 23*p + 4671*p**3 - 149*p**4 + 155*p**5 + 136*p**2 + 15*p**4 = 0. What is p?
-1, -1/5, 2/31, 1
Let b(u) be the second derivative of -u**6/90 + u**5/15 - u**4/9 - 4*u**2 - 29*u. Let y(v) be the first derivative of b(v). Factor y(t).
-4*t*(t - 2)*(t - 1)/3
Let t(y) be the third derivative of y**8/15680 - y**7/5880 - y**6/840 - y**4/2 + 7*y**2. Let v(k) be the second derivative of t(k). Factor v(s).
3*s*(s - 2)*(s + 1)/7
Let w be -1 + (-13)/(-11) - 217/(-77). Factor -2*n**w + 2*n + 0*n - 1 + 0*n + n**4.
(n - 1)**3*(n + 1)
Suppose 39*q - 32*q = 14. Let d(l) be the first derivative of -3/8*l**q + 1/16*l**4 + 0*l**3 + 1/2*l - 4. Factor d(p).
(p - 1)**2*(p + 2)/4
Let t(n) = 29*n**3 - 39*n**2 + 34*n - 4. Let d(r) = r**3 + r**2 + 2*r. Let h(f) = -5*d(f) + t(f). Factor h(g).
4*(g - 1)*(2*g - 1)*(3*g - 1)
Let i(j) be the third derivative of -1/180*j**5 - 3*j**2 - 1/72*j**4 + 0 + 0*j + 1/18*j**3 + 1/360*j**6. Let i(k) = 0. Calculate k.
-1, 1
Let n(b) be the third derivative of 0*b**3 - 1/12*b**5 - 32*b**2 + 0*b**4 - 1/24*b**6 + 0*b + 0. Find s such that n(s) = 0.
-1, 0
Suppose -4*m = 4*s - 12, -5*m + 0*s + 9 = -s. Factor m*c**2 - 6 - c - c + 6*c.
2*(c - 1)*(c + 3)
Let n be -4 - -4 - (-1)/((-1)/(-5)). Suppose 400/13*h**3 + 960/13*h + 630/13*h**4 + 98/13*h**n - 1960/13*h**2 - 128/13 = 0. What is h?
-4, 2/7, 1
Find l such that -3*l**2 - l**3 + 2*l**2 + 10*l**2 + 145*l - 160*l + 7 = 0.
1, 7
Let b(p) be the second derivative of p**4/28 - 57*p**3/14 - 87*p**2/7 - 3*p - 53. Factor b(g).
3*(g - 58)*(g + 1)/7
Let j be (1/(-2))/((-6)/24). Let 0*c**3 + 36*c**2 - 18*c**4 + j*c - 26*c**2 + 6*c**3 = 0. What is c?
-1/3, 0, 1
Let y(g) be the first derivative of 2*g**3/9 + 172*g**2/3 + 14792*g/3 - 307. Let y(c) = 0. What is c?
-86
Suppose -154 = -5*s + 4*k - 174, -k = -s - 5. Solve 1/4*i**4 - 5/4*i**2 + s + 1/4*i**3 + 3/4*i = 0 for i.
-3, 0, 1
Let r(x) be the third derivative of -x**5/60 - 75*x**4/4 - 16875*x**3/2 - 711*x**2. Factor r(u).
-(u + 225)**2
Let l(k) be the third derivative of 1/300*k**5 + 0*k + 0 - 1/5*k**3 - 1/120*k**4 + k**2. Factor l(y).
(y - 3)*(y + 2)/5
Let j(i) be the third derivative of 0*i - 1/3*i**3 + 0 + 23*i**2 - 1/105*i**7 - 1/15*i**6 - 1/3*i**4 - 1/5*i**5. Suppose j(b) = 0. What is b?
-1
Let z(k) = 10*k - 15. Let d be z(2). Let g(c) be the third derivative of 0 - 1/180*c**6 + 2*c**2 + 1/90*c**d + 0*c**4 + 0*c + 0*c**3. Let g(s) = 0. What is s?
0, 1
Let g(s) = -8*s**2 + 304*s - 287. Let t(a) = -2*a**2 + 76*a - 72. Let i(x) = -2*g(x) + 9*t(x). Factor i(l).
-2*(l - 37)*(l - 1)
Let p = 9 + -5. Suppose 6*c**4 - 3*c**2 - 4*c**2 + 4*c - p*c**3 + c**2 + 0*c**2 = 0. Calculate c.
-1, 0, 2/3, 1
Suppose 0 = 4*i + 3*o - 12, 0 = -3*i + 4*o + 9. Solve -z**i - 4*z**5 + 12*z**2 + 0*z**3 + 5*z**3 - 12*z**4 = 0.
-3, -1, 0, 1
Let j(f) = -135*f + 1. Let o be j(-2). Suppose 0 = -2*d + o - 79. Suppose 32 - 104*r + 20*r**4 - 2*r**4 - d*r**3 - 24*r + 176*r**2 = 0. What is r?
2/3, 2
Let g(i) = i**2 - 4*i - 37. Let p be g(9). Determine d so that 15*d - 72*d**3 + p*d**5 - 12*d**5 + 93*d - 32*d**4 = 0.
-3, 0, 1
Let r = -152 + 152. Suppose -3*v - 2*s + 4 = 0, r = 2*v - s + 2. Factor 0*k**2 - 3/4*k**3 - 3/4*k**4 + 0*k + v.
-3*k**3*(k + 1)/4
Let 8/3*u**2 + 1/3*u - 4/3 + 1/3*u**5 - 2/3*u**3 - 4/3*u**4 = 0. Calculate u.
-1, 1, 4
Let o(m) be the first derivative of 2/33*m**3 + 19 + 3/11*m**2 + 4/11*m. Find y, given that o(y) = 0.
-2, -1
Let i be (8 - 108/12)/(-1 - 29). Let z(n) be the second derivative of -1/6*n**2 + 1/42*n**7 - 5/18*n**3 + 0 + i*n**5 + 7/90*n**6 - 1/6*n**4 + n. Factor z(c).
(c - 1)*(c + 1)**3*(3*c + 1)/3
Let l(t) be the third derivative of 0*t - 5/42*t**4 + 9*t**2 - 25/21*t**3 - 1/210*t**5 + 0. Let l(z) = 0. What is z?
-5
Find g, given that 0 - 1/7*g**2 - 1/7*g**4 - 4/7*g**3 + 6/7*g = 0.
-3, -2, 0, 1
Let j(n) be the second derivative of 3*n**7/14 - 2*n**6 + 15*n**5/2 - 15*n**4 + 35*n**3/2 - 12*n**2 + n + 2. Determine q, given that j(q) = 0.
1, 8/3
Let s(h) be the first derivative of h + 0*h**2 + 0*h**3 - 3 + 1/30*h**4. Let v(x) be the first derivative of s(x). Determine m, given that v(m) = 0.
0
Let q(t) be the second derivative of 0 + 1/60*t**5 + 0*t**4 + 0*t**2 + 1/126*t**7 - 23*t - 1/45*t**6 + 0*t**3. Suppose q(y) = 0. Calculate y.
0, 1
Let x = 117923/8844 + -1/2948. Let -8/3 - x*z + 22/3*z**2 = 0. Calculate z.
-2/11, 2
Let w be ((-5)/(-35))/1 - (-54)/14. Suppose -a**w + 2*a**3 - 5*a**3 + 3*a**2 + 4*a - a - 2*a**4 = 0. What is a?
-1, 0, 1
Suppose -5*d + 9 = 5*g - 11, 0 = 4*g + 16. Let d*v**3 + 7*v**3 - 2*v**5 - 13*v**3 = 0. Calculate v.
-1, 0, 1
Let a(y) be the second derivative of -1/45*y**5 + 1/135*y**6 + 0*y**2 + 0 + 1/54*y**4 + 0*y**3 + 14*y. Suppose a(d) = 0. Calculate d.
0, 1
Let b(w) be the third derivative of w**7/840 + 17*w**6/240 + 209*w**5/240 - 361*w**4/24 - 2*w**2 + 7. Factor b(n).
n*(n - 4)*(n + 19)**2/4
Let o be (11 - 12)*(16/(-12) + 1). Find j, given that 1/3*j**2 + o + 2/3*j = 0.
-1
Let q(f) = f**2 + 3*f + 1. Let m(j) = 4*j**3 - 32*j**2 - 64*j - 8. Let t(b) = m(b) + 20*q(b). Find y such that t(y) = 0.
-1, 1, 3
Suppose 1546*u - 3083*u = -1551*u. Suppose -1/6*n**2 + 1/6 + u*n = 0. Calculate n.
-1, 1
Let r = 72 + -57. Let u(i) = -3*i**2 + 6*i + 2. Let c(d) = 21*d**2 - 42*d - 15. Let y(v) = r*u(v) + 2*c(v). Factor y(x).
-3*x*(x - 2)
Let j(z) be the third derivative of -27*z**2 + 0 + 0*z - 11/30*z**5 + 1/6*z**4 - 1/15*z**7 + 0*z**3 + 4/15*z**6. Factor j(b).
-2*b*(b - 1)**2*(7*b - 2)
Suppose -2*b = 3*b + 5*a - 15, -a = 1. Suppose -b*o**5 + o**5 - 27*o**3 + 174*o**4 - 192*o**4 = 0. What is o?
-3, 0
Let d(z) be the third derivative of -z**5/75 + z**4/5 + 14*z**3/15 + 5*z**2 + 9*z. Determine a so that d(a) = 0.
-1, 7
Let z(c) be the first derivative of -5*c**3/12 + 15*c**2/4 + 20*c - 65. Factor z(v).
-5*(v - 8)*(v + 2)/4
Let w(p) be the first derivative of p**4/12 - p**3/6 + 15*p + 7. Let j(x) be the first derivative of w(x). Find m such that j(m) = 0.
0, 1
Let i(s) = -3*s - 19. Let d be i(-8). Factor -5*w**4 - 4*w**5 - 4 + d*w - 6*w**3 - 1 - 4*w**3 + 9*w**5 + 10*w**2.
5*(w - 1)**3*(w + 1)**2
Factor 0*l + 0*l**2 - 12/5*l**5 + 0 - 9/5*l**4 + 3/5*l**3.
-3*l**3*(l + 1)*(4*l - 1)/5
Factor 725*c - 62*c**2 - 65*c**2 + 580 - 140*c + 132*c**2.
5*(c + 1)*(c + 116)
Let b = -245 - -250. Let u(c) be the second derivative of 1/168*c**7 + 0 + 0*c**2 + b*c + 0*c**3 + 1/24*c**4 - 1/80*c**5 - 1/60*c**6. Find h such that u(h) = 0.
-1, 0, 1, 2
Suppose 0*i + 140 = 5*g - 2*i, -4*i - 70 = -3*g. Factor 166*l - 15*l**3 + 3*l**2 + 109*l**2 - 28*l**2 - g - 205*l.
-3*(l - 5)*(l - 1)*(5*l + 2)
Solve -2*g**2 - 8*g**2 - 2*g**2 + 7*g**2 + 42 + 40*g + 123 = 0.
-3, 11
Suppose 0 = 3*l - 2*b + b - 15, 3*l + b - 9 = 0. Factor 2*i**4 - 15*i**2 - i**4 + 4*i**4 - 10 + i**3 - 25*i + l*i**3.
5*(i - 2)*(i + 1)**3
Let k(z) be the second derivative of -1/3*z**3 + 0 - 15*z + 1/10*z**5 + 6*z**2 - z**4. Let k(s) = 0. What is s?
-1, 1, 6
Suppose -2*h - 27 = 3*h + 7*a, -4*a = 24. Factor 6/11*i**h + 0 - 2/11*i**4 + 4/11*i - 2/11*i**5 + 10/11*i**2.
-2*i*(i - 2)*(i + 1)**3/11
Let t(c) be the first derivative of 5*c**6/6 - 4*c**5 - 5*c**4/2 + 40*c**3/3 + 5*c**2/2 - 20*c - 105. Let t(m) = 0. Calculate m.
-1, 1, 4
Suppose -2*g = 6, -g = -2*q - 2*g + 7. Factor -2*u**2 + 2*u**2 - q*u**2.
-5*u**2
Suppose 50/3*w**2 + 8/3 - 104/3*w = 0. Calculate w.
2/25, 2
Let v be (-6)/(-4)*5/15*4. Factor 6*j**2 - 7*j**2 - 4*j - 8 + 7*j**2 - 2*j**v.
4*(j - 2)*(j + 1)
Let p(j) be the second derivative of 1/20*j**6 + 1/2*j**3 - 3/20*j**5 + 13*j - 3/4*j**2 + 0*j**4 + 0. Factor p(v).
3*(v - 1)**3*(v + 1)/2
Let n(a) = -a**2 + 35*a - 94. Let h(u) = -u - 2. Le