d + 4)*(4*d - 1)
Let v(p) = -p**3 + p**2 + p + 1. Let k(n) = 3*n**3 - 3*n**2 - 3*n - 1. Let a(t) = k(t) + 2*v(t). Let a(x) = 0. Calculate x.
-1, 1
Let j(p) be the third derivative of -p**6/40 - p**5/4 - p**4 - 2*p**3 - 24*p**2. Find l such that j(l) = 0.
-2, -1
Let r = 0 - -6. Suppose 9*f - 12*f + r = 0. Factor -2/3*t**f - 2/3*t**3 + 2/3*t + 2/3.
-2*(t - 1)*(t + 1)**2/3
Factor -4*q + q**2 + 3*q + 6*q**3 + 3*q - 2*q**4 - 7*q**2.
-2*q*(q - 1)**3
Let q(p) be the second derivative of 0*p**2 + 1/40*p**5 + 0*p**3 + 3*p + 0*p**4 + 0. Let q(z) = 0. Calculate z.
0
Let y(l) be the second derivative of -21*l**5/20 - 9*l**4/4 + 6*l**3 + 6*l**2 - 13*l. Find r, given that y(r) = 0.
-2, -2/7, 1
Let 2*c**2 - 1/2*c**4 - 3/2 - c**3 + c = 0. What is c?
-3, -1, 1
Suppose -5*i = s - 25, -27 = -3*i - 6*s + 3*s. Factor -3*w**3 - w**5 + 6*w**3 + 4*w**2 + 0*w**5 - 4*w - 2*w**i.
-w*(w - 1)**2*(w + 2)**2
Let x(o) be the second derivative of 13*o**5/4 - 25*o**4/4 + 5*o**3/3 - 45*o. Solve x(k) = 0.
0, 2/13, 1
Let v(q) be the first derivative of -1/4*q**4 + 0*q - 2 - 2/3*q**3 + 0*q**2. Let v(h) = 0. What is h?
-2, 0
Let w = 318 + -316. Factor 3/7*x**w - 3/7*x + 0.
3*x*(x - 1)/7
Let a(m) = 8*m**5 - m**4 - 8*m**3 - 3*m**2. Let c(w) = 9*w**5 - w**4 - 9*w**3 - 4*w**2. Let b(g) = -5*a(g) + 4*c(g). Suppose b(o) = 0. Calculate o.
-1, 0, 1/4, 1
Let d(g) = -59*g + 360. Let h be d(6). What is z in 0*z + h*z**3 - 4*z**2 + 1/2*z**5 + 0 - 3*z**4 = 0?
0, 2
Suppose 2*w - 3*w = 4*d - 16, 2*d - 4*w = -10. Suppose 5*b = 4*x + 2*b - 11, -d = -x + b. Factor -g**3 + 4*g - x*g**2 - 2*g + 1 - g + g**2.
-(g - 1)*(g + 1)**2
Let n be ((-20)/(-12) - 1) + (1 - 1). Let c(w) be the third derivative of 0 - 1/6*w**5 - 7/12*w**4 + 0*w - 2*w**2 - n*w**3. Solve c(x) = 0 for x.
-1, -2/5
Let n(a) be the first derivative of a**6/720 + a**5/120 - 2*a**3 - 7. Let c(f) be the third derivative of n(f). Determine l so that c(l) = 0.
-2, 0
Let g = 19 - 9. Let n = g + -7. What is j in 6*j - 4*j - j**n - j**3 = 0?
-1, 0, 1
Factor -11*p - 13*p + 25*p**3 + 23*p**3 + 20*p**4 - 44*p**2.
4*p*(p - 1)*(p + 3)*(5*p + 2)
Let x(g) = -g - 1. Let i(q) = 2*q**2 + 6*q + 4. Let h(y) = 3*y + 1 - 1. Let o be h(2). Let b(v) = o*x(v) + i(v). Determine c so that b(c) = 0.
-1, 1
Let d(g) be the second derivative of g**8/840 + g**7/420 + g**3/6 - 2*g. Let b(v) be the second derivative of d(v). Factor b(m).
2*m**3*(m + 1)
Let h(n) be the third derivative of -5*n**8/336 + n**7/42 + n**6/12 - n**5/6 - 5*n**4/24 + 5*n**3/6 + 18*n**2. Factor h(d).
-5*(d - 1)**3*(d + 1)**2
Let m be 4/3 + 8 + -9. Let u(h) be the first derivative of 2 + 1/6*h**2 + 1/9*h**3 - 1/12*h**4 - m*h. Factor u(x).
-(x - 1)**2*(x + 1)/3
Let v be 10 + -8 + 2/1. What is u in 1 + 6*u + 3 - 6*u**3 - 3 - v + 3*u**4 = 0?
-1, 1
Suppose 0 = -4*y - 0 + 12. Determine a, given that -a**2 - 3*a**3 - 2 + a + 2*a + y*a**2 = 0.
-1, 2/3, 1
Let s(c) be the second derivative of -20*c**4/3 + 2*c**3/3 + 2*c - 6. Suppose s(a) = 0. Calculate a.
0, 1/20
Let t(f) be the first derivative of f**6/6 + 2*f**5/5 - f**4/4 - 2*f**3/3 + 8. Factor t(s).
s**2*(s - 1)*(s + 1)*(s + 2)
Let t(r) = 12*r**4 + 51*r**3 + 12*r**2 + 27*r + 27. Let c(z) = -z**4 - 4*z**3 - z**2 - 2*z - 2. Let w(k) = 27*c(k) + 2*t(k). Let w(m) = 0. What is m?
-1, 0
Let -1/4*h**3 + 0*h**2 + 0*h + 0 + 1/4*h**4 = 0. Calculate h.
0, 1
Determine i so that 2/21*i**5 + 2/21*i**2 - 2/7*i**3 + 4/21*i + 0 - 2/21*i**4 = 0.
-1, 0, 1, 2
Let d(s) be the third derivative of -s**8/1512 - s**7/945 + s**6/108 + s**5/270 - 2*s**4/27 + 4*s**3/27 - 6*s**2 - 1. Let d(k) = 0. Calculate k.
-2, 1
Factor 2/23*r**4 - 32/23*r**3 + 180/23*r**2 + 250/23 - 400/23*r.
2*(r - 5)**3*(r - 1)/23
Let q(l) be the third derivative of -5*l**8/336 + l**7/21 + l**6/4 - l**5/3 - 65*l**4/24 - 5*l**3 + 12*l**2. Factor q(s).
-5*(s - 3)*(s - 2)*(s + 1)**3
Suppose m = -m + 14. Suppose -5*p + m = -3. Factor -b + 2/5 - 1/5*b**4 + 1/5*b**3 + 3/5*b**p.
-(b - 1)**3*(b + 2)/5
Suppose v + 0*p = 3*p + 11, -26 = -3*v + 2*p. Find s, given that 0*s - v*s - 5*s**2 + 4 - 10*s + 19*s**2 = 0.
2/7, 1
Let i(s) be the first derivative of s**6/900 + s**5/50 + 3*s**4/20 + 4*s**3/3 - 4. Let p(t) be the third derivative of i(t). Factor p(j).
2*(j + 3)**2/5
Let b(t) be the first derivative of -4*t**5/5 + 4*t**3 - 4*t**2 - 12. Factor b(o).
-4*o*(o - 1)**2*(o + 2)
Factor -14/5*t**3 - 16/5*t + 23/5*t**2 + 4/5 + 3/5*t**4.
(t - 2)*(t - 1)**2*(3*t - 2)/5
Let w(j) be the third derivative of -j**8/336 - j**7/105 + j**5/30 + j**4/24 + 2*j**2. Factor w(v).
-v*(v - 1)*(v + 1)**3
Suppose n + 31 - 33 = 0. Factor 2/5 - 9/5*h - h**3 + 12/5*h**n.
-(h - 1)**2*(5*h - 2)/5
Let b = 1 + -1. Factor -3*n**2 + 2*n**5 + n + 7*n**2 - 4*n**4 + b*n - 3*n.
2*n*(n - 1)**3*(n + 1)
Suppose -12/7*p**3 + 8/7 - 4/7*p**2 + 12/7*p - 4/7*p**4 = 0. Calculate p.
-2, -1, 1
Suppose 13 = 4*u + 5. Let r(j) be the third derivative of 0*j**3 - 1/180*j**5 - 2*j**u + 0*j + 0 + 0*j**4. Factor r(o).
-o**2/3
Let k(g) = -12*g**4 + 9*g**3 - 6*g**2 + 9*g - 9. Let q(j) = -j**4 + j**3 - j**2 + j - 1. Let z be -6 + -6*(-2)/(-4). Let i(m) = z*q(m) + k(m). Factor i(b).
-3*b**2*(b - 1)*(b + 1)
Let l(n) be the third derivative of n**6/600 + n**5/300 - n**4/60 - 4*n**2. Suppose l(o) = 0. What is o?
-2, 0, 1
Factor 5/2*q**2 + 7/2*q + 1.
(q + 1)*(5*q + 2)/2
Let w be 4/(-4)*(1 + -3). Factor 4*o - 3*o**w + 2*o - 3*o.
-3*o*(o - 1)
Let w(n) be the third derivative of -n**6/8 - 2*n**5/5 - 3*n**4/8 - 17*n**2. Solve w(t) = 0.
-1, -3/5, 0
Let h(n) be the first derivative of 1/2*n - 1/6*n**3 + 2 + 0*n**2. Factor h(b).
-(b - 1)*(b + 1)/2
Let u = 28 + -23. Suppose w - u*j - 4 = 8, 6 = -3*j. Factor -4/5 + 2/5*c**w - 2/5*c.
2*(c - 2)*(c + 1)/5
Let f = -1/251 - -3539/6275. Let j(q) be the first derivative of 0*q + 0*q**2 - f*q**5 - 4/15*q**3 - 9/10*q**4 - 1. Factor j(s).
-2*s**2*(s + 1)*(7*s + 2)/5
Let o(z) be the third derivative of z**6/160 - z**5/20 + 5*z**4/32 - z**3/4 - 24*z**2 + 2. Factor o(c).
3*(c - 2)*(c - 1)**2/4
Let k(d) be the first derivative of -d**7/315 - d**6/720 - 5*d**2/2 - 5. Let p(y) be the second derivative of k(y). Solve p(j) = 0 for j.
-1/4, 0
Suppose -3 = -2*m + 1. Factor -m*a + 4*a**3 + 4*a**3 - 6*a**3.
2*a*(a - 1)*(a + 1)
Factor 28/5*o**5 + 4*o**4 + 0*o + 0 + 0*o**2 - 8/5*o**3.
4*o**3*(o + 1)*(7*o - 2)/5
Let m(a) be the third derivative of 0*a + 0 - 1/210*a**6 - 3/70*a**5 + 10*a**2 - 1/7*a**4 - 4/21*a**3. Solve m(g) = 0.
-2, -1/2
Factor -4*n**3 + 3*n**2 + 557 - 557 + n.
-n*(n - 1)*(4*n + 1)
Let q(n) be the third derivative of -n**6/200 + n**5/50 + n**4/40 - n**3/5 + 3*n**2. Factor q(x).
-3*(x - 2)*(x - 1)*(x + 1)/5
Let l(p) = 5*p - 31. Let d be l(7). Let w(v) be the third derivative of -4*v**2 - 1/70*v**7 + 0*v**5 + 0*v**d - 1/120*v**6 + 0*v + 0*v**3 + 0. Factor w(h).
-h**3*(3*h + 1)
Let h(b) be the third derivative of b**6/480 + b**5/120 + b**4/96 - 3*b**2. Factor h(n).
n*(n + 1)**2/4
Factor -4/3*w**2 + 2/3*w**3 + 0*w + 0.
2*w**2*(w - 2)/3
Let j(h) = -h**4 - h. Let y(q) be the second derivative of q**6/5 + q**4/6 + 7*q**3/6 - q**2/2 - q. Let p(v) = -14*j(v) - 2*y(v). What is x in p(x) = 0?
-1, 1
Factor -14*q**2 + 3*q**2 + 10*q**2 + 10 + 3*q.
-(q - 5)*(q + 2)
Factor -8/3*s**4 + 0 + 0*s + 4/9*s**2 + 14/9*s**5 + 2/3*s**3.
2*s**2*(s - 1)**2*(7*s + 2)/9
Let c be (-6)/21 - 93/(-252). Let r(w) be the first derivative of -4/3*w**2 - c*w**4 - 4/3*w + 1 - 5/9*w**3. Find z such that r(z) = 0.
-2, -1
Let a(w) be the third derivative of w**8/1008 - w**7/63 + w**6/12 - 2*w**5/9 + 25*w**4/72 - w**3/3 + 25*w**2. Factor a(h).
(h - 6)*(h - 1)**4/3
Factor 0*z**2 + 1/2 + 1/4*z**3 - 3/4*z.
(z - 1)**2*(z + 2)/4
Let r be (-54)/(-13) + (1 - (-30)/(-26)). Factor 2/3*x**2 - r*x + 6.
2*(x - 3)**2/3
Let r(n) be the third derivative of -n**6/240 + n**5/40 + n**4/48 - n**3/4 + 6*n**2. Factor r(h).
-(h - 3)*(h - 1)*(h + 1)/2
Suppose -5*o + 3*o = -20. Suppose 7 - 1 = 3*k, 0 = -4*y + 3*k + o. Factor -4/7*m + 2*m**y - 32/7*m**3 + 22/7*m**2 + 0.
2*m*(m - 1)**2*(7*m - 2)/7
Suppose -5*p + 18 = 4*c - 4, 0 = p - 3*c + 7. Determine t so that -t**3 + t + 0*t**p + 1/2*t**4 - 1/2 = 0.
-1, 1
Let q(k) be the first derivative of 3*k**2/2 + k + 2. Let y be q(1). Solve 5 + 2*s**2 - y*s**3 + 6*s**3 - 5 = 0 for s.
-1, 0
Let p(a) be the first derivative of -a**8/224 + a**7/60 - a**6/80 - a**5/40 + a**4/