- 47 + 2*g**4 - 5*g**3 + 4*g + g**3.
2*(g - 1)**3*(g + 1)
Let f = 43 - 24. Suppose 12*u**2 - 15*u - 19*u + f*u + 6 - 3*u**3 = 0. Calculate u.
1, 2
Let w be (-1 - (-1 + 3)) + 3. Let j = w + 3. Factor -2*p**j + 0 - 3/2*p**2 + 1/2*p.
-p*(p + 1)*(4*p - 1)/2
Let k(v) be the third derivative of 1/120*v**6 + 0*v**5 + 2*v**2 + 1/336*v**8 + 1/105*v**7 + 0 + 0*v + 0*v**4 + 0*v**3. Find a such that k(a) = 0.
-1, 0
Factor 16/5 - 14/5*j**2 + 52/5*j.
-2*(j - 4)*(7*j + 2)/5
Let g(z) be the first derivative of -z**3/5 + 3*z**2/10 + 5. Factor g(q).
-3*q*(q - 1)/5
Let z(u) be the second derivative of -u**5/4 + u**4/6 - 4*u. Let f(c) = 3*c**3 - c**2. Let y(v) = -7*f(v) - 4*z(v). Factor y(x).
-x**2*(x + 1)
Let w(u) be the third derivative of u**7/1155 - u**6/660 - u**5/330 + u**4/132 + 6*u**2. Factor w(p).
2*p*(p - 1)**2*(p + 1)/11
Let h(g) = 2*g**4 - 2*g**3 + 2*g**2 - 2*g + 2. Let u(j) = j**4 - j**3 - j**2 + j - 1. Let c(i) = h(i) + 2*u(i). What is n in c(n) = 0?
0, 1
Suppose -3 - 22 = 2*m + 5*l, 3*m + l = -5. Factor -1/6*s + 1/6*s**3 + m + 0*s**2.
s*(s - 1)*(s + 1)/6
Suppose 6*r - 4*r = 0. Suppose 5*n + r*s = -s + 11, 14 = 2*n - 2*s. Find j, given that -3*j**3 - 2*j**4 - 4*j**n - 7*j**2 + 5*j**2 + 3*j**3 = 0.
-1, 0
Let a = -12 + 14. Suppose -2*g = a*g - 16, -3*g = 3*b - 21. Suppose 1/2*y + 1/4*y**4 - 1/4 - 1/2*y**b + 0*y**2 = 0. Calculate y.
-1, 1
Find i, given that -2*i**5 - 8*i - 24*i**4 - 2*i**3 + 20*i**5 - 8*i**3 + 24*i**2 = 0.
-1, 0, 2/3, 1
Suppose -2/17*m**3 - 2/17*m**2 + 2/17*m + 2/17 = 0. What is m?
-1, 1
Let p be (-26)/110 + 120/200. Let -p*a + 2/11*a**2 + 0 = 0. Calculate a.
0, 2
Let m(h) be the third derivative of h**8/112 - 29*h**7/70 + 149*h**6/20 - 621*h**5/10 + 1701*h**4/8 - 729*h**3/2 - h**2 + 19. Solve m(j) = 0.
1, 9
Let y = -291 - -881/3. Find q such that 2/3 + y*q + 2*q**2 = 0.
-1, -1/3
Let w = -24352/3 - -8186. Let y = w - 68. Let 0 - y*r + 0*r**2 + 2/3*r**3 = 0. Calculate r.
-1, 0, 1
Let b(j) be the third derivative of j**5/300 - j**4/10 + 6*j**3/5 - 30*j**2. Determine y, given that b(y) = 0.
6
Factor 0 + 9/5*j - 1/5*j**2.
-j*(j - 9)/5
Let p be (-5 + 2)/6*0. Let y be (-10)/(-8) + -1 + p. Factor 1/4*r**3 + 0*r**2 - y*r + 0.
r*(r - 1)*(r + 1)/4
Let m(j) be the third derivative of -j**5/240 - j**4/48 + j**3/8 - j**2. Factor m(h).
-(h - 1)*(h + 3)/4
Factor -27*s + 18 + 0 + 9 - 19*s**2 + 7*s**2.
-3*(s + 3)*(4*s - 3)
Let q be (-4)/((-2)/1) - 0. Factor 1 - 3*f**4 - 3*f**2 + q*f + 2*f + 2*f**2 - 4*f**3 + 3*f**2.
-(f - 1)*(f + 1)**2*(3*f + 1)
Let r = -29 + 31. Factor -f**3 + 1/2*f**4 + 0 + 1/2*f**r + 0*f.
f**2*(f - 1)**2/2
Let a = -1 - -4. Factor -2*c**2 - a*c**3 + 0*c**3 + 7*c - c + 5*c**2.
-3*c*(c - 2)*(c + 1)
Let a(z) be the first derivative of -3*z**4/4 - 9*z**3/4 - 3*z**2/4 - 16. What is s in a(s) = 0?
-2, -1/4, 0
Let b(l) = l**3 + 2*l**2 - 3*l - 3. Let u be b(-2). Let y(w) be the first derivative of -4 - u*w**3 - 27/2*w**2 - 1/4*w**4 - 27*w. Factor y(h).
-(h + 3)**3
Let k(l) be the second derivative of -l**7/1400 - 7*l**6/600 - l**5/25 + 2*l**4/5 + l**3/6 + 5*l. Let y(r) be the second derivative of k(r). Factor y(z).
-3*(z - 1)*(z + 4)**2/5
Let l = -3/761 - -1139/95886. Let d(t) be the second derivative of 0 - l*t**7 - 1/36*t**4 - 1/30*t**6 - 1/20*t**5 + 0*t**2 - t + 0*t**3. Factor d(n).
-n**2*(n + 1)**3/3
Let y(w) be the first derivative of -3*w**4/20 + w**3/5 + 3*w**2/10 - 3*w/5 + 10. Determine m so that y(m) = 0.
-1, 1
Let a(r) = 3*r**3 + r. Let c = -8 + 4. Let h(b) = -6*b**3 - 3*b. Let u(p) = c*h(p) - 9*a(p). What is y in u(y) = 0?
-1, 0, 1
Let v(u) = -5*u**3 - 3*u - 6 + 4*u**3 + 4*u**2 + 3*u**2. Let o be v(6). What is l in o*l**2 + 10*l**2 - 8*l**2 + 2*l**5 + 4*l + 18*l**3 + 10*l**4 = 0?
-2, -1, 0
Determine d, given that 62 - 6*d**3 - d**5 - 21*d - 29 - 6*d**4 + 4*d**5 + 24*d**2 - 27 = 0.
-2, 1
Let z(b) be the second derivative of 0*b**3 + 0 - 1/15*b**6 + 0*b**2 + 1/6*b**4 + 0*b**5 + 9*b. Find q, given that z(q) = 0.
-1, 0, 1
Let y(w) be the first derivative of -5 - 64/3*w + 8*w**2 - 4/3*w**3 + 1/12*w**4. Find r such that y(r) = 0.
4
Let u be (-11)/(-15) - (-4)/(-10). Let c(n) be the first derivative of -3/5*n**5 - 1/6*n**6 + 0*n - 3/4*n**4 - u*n**3 + 0*n**2 + 2. Solve c(y) = 0.
-1, 0
Let i(b) be the second derivative of b**7/105 - 4*b**6/75 + b**5/10 - b**4/15 + 10*b. Determine r, given that i(r) = 0.
0, 1, 2
Let x be 0/7 + 4/(-30)*-3. Factor 0 + x*g**2 + 0*g.
2*g**2/5
Let k(u) be the first derivative of -u**6/1260 + u**5/420 + u**3 + 3. Let y(d) be the third derivative of k(d). What is x in y(x) = 0?
0, 1
Let v(h) be the third derivative of h**7/280 - h**6/120 - h**5/40 + h**4/8 - 4*h**3/3 - 8*h**2. Let b(i) be the first derivative of v(i). Factor b(s).
3*(s - 1)**2*(s + 1)
Let b = -787 + 787. Suppose b - 4/15*j + 2/5*j**2 + 0*j**3 - 2/15*j**4 = 0. What is j?
-2, 0, 1
Let p(q) be the second derivative of 8*q**7/105 + 8*q**6/75 - 2*q**5/25 - 4*q**4/15 - 7*q**3/30 - q**2/10 - 19*q + 3. Factor p(w).
(w - 1)*(2*w + 1)**4/5
Suppose -2*g - 3*g = -10. Find w, given that -3*w**2 + g*w**3 + 0*w**5 + 0*w**5 + 3*w**4 + w**3 - 3*w**5 = 0.
-1, 0, 1
Find z, given that -14/3*z**4 - 16/3*z**3 + 4/3*z + 2/3 - 4/3*z**2 - 4/3*z**5 = 0.
-1, 1/2
Let j = 8 - 34/5. Let -3/5*o**5 - 6/5*o**4 + 3/5*o + j*o**2 + 0*o**3 + 0 = 0. What is o?
-1, 0, 1
Let q be 6*(-4)/(-8) + 1. Suppose -2 = -3*m + q. Factor -1/5*h**m - 1/5*h + 0.
-h*(h + 1)/5
Let n(w) be the second derivative of -1/168*w**7 - 2*w + 0 + 0*w**3 + 1/48*w**4 - 3/80*w**5 + 0*w**2 + 1/40*w**6. Factor n(i).
-i**2*(i - 1)**3/4
Let p be 24/(-6) + 8 - (1 + -1). Factor 0*d**3 + 0 - 1/2*d**p + 0*d**2 + 0*d.
-d**4/2
Let o be (-18)/(-8)*(-24)/(-18). Let d(y) be the third derivative of -y**o - 3*y**2 - 1/20*y**5 + 0 + 0*y + 3/8*y**4. Factor d(s).
-3*(s - 2)*(s - 1)
Let b(k) be the third derivative of k**5/20 + k**4/4 + k**3/2 - 2*k**2. Factor b(a).
3*(a + 1)**2
Suppose -2*s - m = 3*s - 11, -2*s - 3*m - 6 = 0. Let v(n) be the second derivative of 0*n**s - 1/3*n**2 + 0 + n + 1/18*n**4. Determine z, given that v(z) = 0.
-1, 1
Let v(n) be the second derivative of -n**8/8400 + n**7/2100 - n**6/1800 - n**3/6 - 2*n. Let l(s) be the second derivative of v(s). Solve l(i) = 0.
0, 1
Suppose 2 = -4*z + 5*z, 4*a - 5*z = -2. Factor 2*d**2 + 3*d**3 - 3*d**2 - 3*d**4 - d**5 + 0*d**2 + a*d**5.
d**2*(d - 1)**3
Let 39/8*c**4 + 3/2*c + 3/8*c**3 + 3/2 - 15/8*c**5 - 51/8*c**2 = 0. What is c?
-1, -2/5, 1, 2
Let -9 + 0*c + 19*c - 16*c**2 + 1 + 4*c**3 + c = 0. What is c?
1, 2
Factor -4/7*r**2 - 8/7 + 12/7*r.
-4*(r - 2)*(r - 1)/7
Let q(l) be the third derivative of l**6/540 + l**5/270 - 14*l**2. Solve q(z) = 0.
-1, 0
Suppose 9*m = 10*m. Factor 2/5*s**2 + 0*s + m.
2*s**2/5
Let q(m) be the second derivative of m**7/8820 + m**6/1260 + m**5/420 + m**4/6 - m. Let f(t) be the third derivative of q(t). Factor f(r).
2*(r + 1)**2/7
Let o(s) be the third derivative of s**7/350 - 7*s**6/50 + 147*s**5/50 - 343*s**4/10 + 2401*s**3/10 + 33*s**2. Factor o(w).
3*(w - 7)**4/5
Let s be -12*((-4)/(-14) - (-90)/(-252)). Factor 9/7*r**2 + s*r + 0 - 3/7*r**4 + 0*r**3.
-3*r*(r - 2)*(r + 1)**2/7
Let t(x) = 2*x**3 - 9*x**2 + x. Let s be 114/24 - (-2)/8. Let q(a) = -4*a**3 + 17*a**2 - 3*a. Let n(i) = s*t(i) + 3*q(i). Factor n(m).
-2*m*(m - 2)*(m - 1)
Let r(v) be the second derivative of v**5/50 - v**4/15 + 2*v. Suppose r(l) = 0. Calculate l.
0, 2
Factor -1/4*x**2 + 1/4 + 0*x.
-(x - 1)*(x + 1)/4
What is a in 4*a**3 - 3*a**3 + 6*a**2 + 131*a**4 - 4*a**3 - 134*a**4 = 0?
-2, 0, 1
Suppose 0 = 4*o + 4, 2*k - 2*o - 5 - 3 = 0. Let y be -1*k*(-2 + 1). Factor -1/3*h**4 - 1/3*h**5 + 0*h + 0 + 1/3*h**2 + 1/3*h**y.
-h**2*(h - 1)*(h + 1)**2/3
Suppose n - 4*v + 0*v - 11 = 0, 3*n = 2*v + 3. Let y = n - -1. Determine w, given that 0 + y*w + 0*w**2 - 1/4*w**3 = 0.
0
Factor 3*x**2 - 27*x**5 + 29*x**5 - 2*x**3 - 3*x**2.
2*x**3*(x - 1)*(x + 1)
Let l(c) be the first derivative of 15/4*c**4 + 0*c**2 + 0*c + 2 - c**3. Suppose l(o) = 0. Calculate o.
0, 1/5
Let d(h) be the second derivative of -h**7/2520 - h**6/360 - h**5/120 - h**4/12 + 2*h. Let c(i) be the third derivative of d(i). Factor c(k).
-(k + 1)**2
Let t = 169 + -166. Factor -4/5*w**2 - 8/5*w + 2/5*w**t + 16/5.
2*(w - 2)**2*(w + 2)/5
Let h(d) = -7*d**5 - 7*d**3 + 6*d**2 - 4*d - 6. Let p(f) = -13*f**5 + f**4 - 15*f**3 + 13*f**2 