2 + 0*p**4 + 0 = 0 for p.
-1, 0, 1
Let j(n) be the first derivative of n**5/40 - n**4/8 + n**2 - 2. Let f(z) be the second derivative of j(z). Factor f(l).
3*l*(l - 2)/2
Suppose h = -3*c, c + 39 = 5*h + 7. Let p be (-22)/(-12) + 1/6. Let 5 + p*m**3 + 2 - 3 - h*m = 0. Calculate m.
-2, 1
What is t in 12 - t**2 - 22 + 11 = 0?
-1, 1
Let q(t) be the second derivative of t**4/84 - 5*t**3/21 - 24*t. Factor q(i).
i*(i - 10)/7
Let x(u) be the first derivative of u**4/12 - 2*u**3/9 + 2. Factor x(z).
z**2*(z - 2)/3
Let b be 4/(-10) - (-27)/5. Let g(k) = -k + 1. Let a be g(-1). Suppose b*v**2 - 2 - 3*v**2 - a*v + 0*v + 2*v**3 = 0. What is v?
-1, 1
Let f(i) be the second derivative of -2/15*i**2 + 0 - 1/9*i**3 - 2/45*i**4 + i - 1/150*i**5. Let f(n) = 0. What is n?
-2, -1
Let n(z) be the first derivative of -2/15*z**5 - 3 - 1/2*z**4 - 2/3*z**2 + 0*z + 10/9*z**3 + 1/9*z**6. Factor n(i).
2*i*(i - 1)**3*(i + 2)/3
Determine b, given that -3*b**3 - 20*b**2 - 4*b**5 - b**3 + 4*b**4 + 16*b**3 + 8*b = 0.
-2, 0, 1
Let u(q) be the third derivative of -q**6/240 + 7*q**5/120 - q**4/3 + q**3 + 26*q**2. Factor u(o).
-(o - 3)*(o - 2)**2/2
Factor -49/2 - 7*f - 1/2*f**2.
-(f + 7)**2/2
Let o = 0 - -3. Let y = -7/2 - -53/14. Solve 0*r + 6/7*r**4 + 6/7*r**o + 0 + 2/7*r**5 + y*r**2 = 0 for r.
-1, 0
Suppose r - 4*j + 24 = -r, 0 = 5*r - 2*j + 68. Let b be ((-16)/28)/(12/r). Let 0*d**3 + 0 + 0*d - b*d**2 + 2/3*d**4 = 0. Calculate d.
-1, 0, 1
Let i(h) be the first derivative of h**5/20 - h**4/4 + h**3/2 - h**2/2 - 3*h - 1. Let y(w) be the first derivative of i(w). Suppose y(v) = 0. Calculate v.
1
Let k(y) = -8*y - 52. Let i be k(-7). Let c be (-8)/30*-3 + 0. Let c*h**3 + 2/5 + 0*h**2 - 2/5*h**i - 4/5*h = 0. What is h?
-1, 1
Factor 4/11*o + 0 - 2/11*o**3 - 2/11*o**2.
-2*o*(o - 1)*(o + 2)/11
Let k = -76/7 - -326/21. Factor k*g**2 + 0*g - 8/3 - 2*g**3.
-2*(g - 2)*(g - 1)*(3*g + 2)/3
Let d = 365/1359 + -7/151. Factor d*f + f**3 + 0 + 7/9*f**2 + 1/9*f**5 + 5/9*f**4.
f*(f + 1)**3*(f + 2)/9
Let d be 0 - 1 - -2 - -1. What is r in -20*r**2 + 0*r**5 - 10*r**4 + 13*r**3 + 2*r**5 + 6*r + 4*r + 7*r**3 - d = 0?
1
Let h be 252/370 - 3/5. Let b = h + 65/111. Factor 0 + 0*d + 0*d**2 + 2/3*d**5 + 0*d**4 - b*d**3.
2*d**3*(d - 1)*(d + 1)/3
Factor 16/5 + 1/5*z**2 - 8/5*z.
(z - 4)**2/5
Let u(o) = 3*o**5 + 3*o**4 + 12*o**3 - 12*o**2 - 3*o - 9. Let m(i) = -6*i**5 - 5*i**4 - 25*i**3 + 25*i**2 + 5*i + 19. Let c(k) = 6*m(k) + 13*u(k). Factor c(h).
3*(h - 1)*(h + 1)**4
Factor 21/5*w**3 + 0*w - 6/5*w**2 + 0.
3*w**2*(7*w - 2)/5
Let w be (-8*54/(-24))/4. Find n such that w*n**2 + 12*n + 8 = 0.
-4/3
Solve 0*l + 1/2*l**4 + 0 + 1/2*l**2 + l**3 = 0 for l.
-1, 0
Let n(x) be the third derivative of -x**6/1440 + x**5/240 - x**4/96 + x**3/6 - x**2. Let y(w) be the first derivative of n(w). Solve y(d) = 0.
1
Let l(c) be the first derivative of -2/3*c - 1/9*c**3 + 1/2*c**2 - 4. Factor l(z).
-(z - 2)*(z - 1)/3
Suppose 0 = 5*a - 5. Solve 24*z - 21*z + a + z**2 + 1 = 0.
-2, -1
Let v be 1 - (-4460)/1386 - 4. Let h = v + 1/231. Factor -2 + 4/3*t - h*t**2.
-2*(t - 3)**2/9
Let j = 1/3466 - -799/233955. Let k(l) be the third derivative of 0*l**4 + 0*l**3 + 0*l + j*l**5 + 0 - l**2 - 1/540*l**6. Suppose k(w) = 0. Calculate w.
0, 1
Let c(y) be the second derivative of -y**6/180 - y**5/120 + y**4/36 + 11*y. Factor c(o).
-o**2*(o - 1)*(o + 2)/6
Let g(b) be the second derivative of b**6/36 - 4*b**5/45 + b**4/36 + 2*b**3/9 - b**2 + 4*b. Let i(u) be the first derivative of g(u). Factor i(j).
2*(j - 1)**2*(5*j + 2)/3
Let d(v) = v**3 + 2*v**2 - 3*v - 2. Let m be d(-3). Let k = 5 + m. Determine t so that 2*t**2 + 2*t - t**2 - k*t**2 = 0.
0, 1
Let q(j) be the first derivative of j**6/1440 - j**5/160 + j**4/48 + 2*j**3/3 - 2. Let p(l) be the third derivative of q(l). Factor p(o).
(o - 2)*(o - 1)/4
Factor 8 + 0*z**3 + 17*z**2 - 45*z + 5*z**3 - 2*z**2 + 17.
5*(z - 1)**2*(z + 5)
Let b(g) be the third derivative of g**6/1980 - g**3/2 - g**2. Let r(v) be the first derivative of b(v). Solve r(y) = 0 for y.
0
Suppose -6*a + 7 = -17. Factor -3*f - 4*f**a + 4*f - f.
-4*f**4
Let p(u) = u**2 + 3*u - 7. Let h(b) = 2*b + 7. Let w be h(-6). Let k be p(w). Factor 0*f**3 + 2*f**5 + 2*f + f**3 - 5*f**k.
2*f*(f - 1)**2*(f + 1)**2
Let p(w) be the first derivative of w**6/144 - w**5/240 + 4*w**3/3 + 2. Let h(t) be the third derivative of p(t). Factor h(b).
b*(5*b - 1)/2
Let p = 0 + 6. Let y = -12 + 15. Factor -4*h**y - 2 + p*h + 6*h**4 + 0*h**5 - 4*h**2 + 3*h**5 - 5*h**5.
-2*(h - 1)**4*(h + 1)
Let f be 2 + 117/255 - 1. Let d = f - 18/17. Determine y so that -2/5 - d*y**2 + 4/5*y = 0.
1
Let o(x) be the third derivative of x**6/40 + 17*x**5/150 + x**4/30 - 4*x**3/15 + 22*x**2. Determine f, given that o(f) = 0.
-2, -2/3, 2/5
Let u = 14 + -12. Let g(a) be the third derivative of u*a**2 + 0*a - 1/60*a**5 + 0*a**3 - 1/12*a**4 + 0. Factor g(j).
-j*(j + 2)
Let q(x) be the third derivative of 0 - 7/225*x**7 + 0*x - 109/450*x**5 - 7/50*x**6 - 1/5*x**4 - 4/45*x**3 + 3*x**2. Factor q(w).
-2*(w + 1)**2*(7*w + 2)**2/15
Suppose -7*j - 2*j - 2*j**2 - 5*j**3 + 2*j**3 - 7*j**2 - 3 = 0. What is j?
-1
Let b(w) be the second derivative of -w**7/126 + w**6/18 - 2*w**5/15 + w**4/9 + 5*w. Solve b(x) = 0 for x.
0, 1, 2
Let o = 7 - 4. Suppose 9 + 15 = 5*b + 2*g, -4*b - 4*g = -24. Factor 2/3*w**b + 0 + 2*w**2 - 2*w**o - 2/3*w.
2*w*(w - 1)**3/3
Let u = 14 + -12. Suppose -4*p**3 + p**3 + 0*p**u - 6*p + 9*p**2 = 0. What is p?
0, 1, 2
Let i(o) be the third derivative of -o**5/60 + o**4/24 + o**3/3 - 2*o**2. What is z in i(z) = 0?
-1, 2
Let o(p) be the second derivative of -p**6/6 - 3*p**5/4 - 5*p**4/4 - 5*p**3/6 - 19*p. Suppose o(r) = 0. What is r?
-1, 0
Let r be (1/2)/((-5)/(-30)). Determine p, given that -2*p - 2*p - 3*p**r + p**4 + 3*p**4 + 12*p**2 - 9*p**3 = 0.
0, 1
Let x(j) be the third derivative of 1/1512*j**8 + 2/315*j**7 + 0 + 0*j**5 + 0*j**3 + j**2 + 0*j + 1/60*j**6 + 0*j**4. Find g, given that x(g) = 0.
-3, 0
Let t(s) = -2*s. Let g be t(-1). Let l(c) be the second derivative of 0 - 1/6*c**4 + 0*c**3 - 1/10*c**5 + c + 0*c**g. Factor l(x).
-2*x**2*(x + 1)
Let t be ((-20)/(-36))/((-80)/(-96)). Factor -5/3*q**2 + 1/3*q**3 + 2/3*q**4 + t*q + 0.
q*(q - 1)*(q + 2)*(2*q - 1)/3
Let j(n) be the second derivative of -n**6/10 + n**5/10 + n**4/3 - n**3/3 - n**2/2 - n. Determine b, given that j(b) = 0.
-1, -1/3, 1
Let p = 464 - 460. Solve -9/2*w**5 - 33/4*w**p + 0 + 27/4*w**2 + 3/2*w + 9/2*w**3 = 0 for w.
-2, -1/2, -1/3, 0, 1
Let d(j) = 4*j**2 + 3*j - 2. Let x be d(2). Let s be 14/x - (-1)/(-2). Factor 0*n**2 + 0 + 0*n + s*n**3.
n**3/5
Let q(x) = 5*x**3 + 13*x - 11. Suppose -16 = -4*t - m, -7*t + 16 = -3*t - m. Let p(o) = -3*o**3 - 7*o + 6. Let w(r) = t*q(r) + 7*p(r). Factor w(l).
-(l - 1)**2*(l + 2)
Suppose 0 = 4*v - 6*v + 48. Let p be 7/(-42) + 58/v. Find t such that 0 + 5/4*t**3 - 7/4*t**5 + p*t**4 - 9/4*t**2 + 1/2*t = 0.
-1, 0, 2/7, 1
Let s = -5/26 - -23/52. Let h(v) be the first derivative of s*v**2 + 0*v + 7/12*v**3 - 3. Factor h(b).
b*(7*b + 2)/4
Factor -2 - 2*z - 30*z**2 + 29*z**2 + 1.
-(z + 1)**2
Let b(q) = -9*q**2 + 12*q - 15. Let k(o) = 10*o**2 - 12*o + 16. Let g(h) = 7*b(h) + 6*k(h). Factor g(n).
-3*(n - 3)*(n - 1)
Let a be (-7 - -5)/(2*-1). Let n(f) be the first derivative of 2/15*f**5 + a + 2/3*f**2 - 2/3*f + 0*f**3 - 1/3*f**4. Factor n(v).
2*(v - 1)**3*(v + 1)/3
Suppose i - 12 = -5*w + 2*w, 8 = 2*w + i. Let a(v) be the third derivative of 3*v**2 - 1/96*v**w + 0*v - 1/240*v**5 + 0*v**3 + 0. Factor a(d).
-d*(d + 1)/4
Factor -3*t - 18*t**2 - 7*t + 1 + 13*t**2 - 6.
-5*(t + 1)**2
Let d(r) be the second derivative of 0*r**3 + 0 - 1/24*r**4 - 1/2*r**2 - 1/120*r**6 + 2*r - 1/30*r**5. Let c(p) be the first derivative of d(p). Factor c(n).
-n*(n + 1)**2
Let v(a) = -21*a**4 + 6*a**3 - 6*a**2 - 6*a. Let g(b) = -3*b**4 + b**3 - b**2 - b. Let k(s) = 27*g(s) - 4*v(s). Factor k(l).
3*l*(l - 1)*(l + 1)**2
What is y in 12*y + 5*y**3 - 3*y**2 - 7*y + 23*y**2 - 30 = 0?
-3, -2, 1
Let u(q) be the first derivative of 1/2*q**3 + 3*q - 1 + 9/4*q**2. Factor u(n).
3*(n + 1)*(n + 2)/2
Let b(w) be the third derivative of w**5/30 - w**4/6 + w**3/3 - 3*w**2. Factor b(v).
2*(v - 1)**2
Let -81/7*i**3 + 3/7*i**4 - 2187/7*i + 729/7*i**2 + 0 = 0. What is i?
0, 9
Let m(z) be the second derivative of z**9/75600 -