 0 = q + l - 7, q + 5*l - 14 = 3*q. Suppose -2*r + r - q*u = 0, -16 = -3*r - u. Factor 3*n**2 - 16*n - r + 38 - n**2.
2*(n - 4)**2
Suppose 3*v + 2*l = -4, -5*l + 6 = -8*l. Factor 1/4*p**2 + v*p + 0.
p**2/4
Factor -4*r**2 + 24 - 4 + 20 - 15*r + 3*r.
-4*(r - 2)*(r + 5)
Let h(s) = -17*s - 2. Let b be h(-2). What is o in 28*o**3 - 4*o**2 + 4*o**5 - b*o - 1348*o**4 + 1368*o**4 - 9 - 7 = 0?
-2, -1, 1
Let v(l) = -56*l**2 - 617*l - 7. Let y be v(-11). Find b such that -1/4*b**y + 3/4*b**5 - 3/4*b**3 + 1/4*b**2 + 0 + 0*b = 0.
-1, 0, 1/3, 1
Let k(c) be the first derivative of -9 - 1/16*c**4 - 1/8*c**2 + 0*c - 1/6*c**3. Factor k(s).
-s*(s + 1)**2/4
Factor 4*q + 14*q**3 - 11*q**3 - 16*q + 9*q.
3*q*(q - 1)*(q + 1)
Let m(d) = -5*d**3 + 42*d**2 + 16*d - 158. Let p(i) = -i**2 + 2*i - 1. Let s(q) = -m(q) - 2*p(q). Solve s(t) = 0 for t.
-2, 2, 8
Suppose -5*w + 6 = -4. Let h = 1 + w. Factor -21*b**4 - 12*b**5 + 2*b**2 + b**2 + h*b**3 - 9*b**3.
-3*b**2*(b + 1)**2*(4*b - 1)
Factor -319 - 980*n + n**4 + 336*n**2 - 44*n**3 + 1005 + n**4.
2*(n - 7)**3*(n - 1)
Let 52/9*a + 1/9*a**4 - 13/9*a**3 + 8/9*a**2 - 16/3 = 0. What is a?
-2, 1, 2, 12
Let z(x) = -12*x - 3. Suppose 7*t + 2*t + 36 = 0. Let a be z(t). Determine y, given that a*y - 39*y + 2*y**2 + 5*y**4 - 2*y**4 - 11*y**2 = 0.
-2, 0, 1
Let q(k) be the third derivative of 6*k**2 + 1/78*k**4 + 0*k + 0*k**5 + 0 + 1/1365*k**7 - 1/39*k**3 - 1/390*k**6. Factor q(g).
2*(g - 1)**3*(g + 1)/13
Let x(k) be the first derivative of 3*k - k**2 - 5 - 1/6*k**4 + 2/3*k**3. Let w(b) be the first derivative of x(b). Factor w(s).
-2*(s - 1)**2
Let t(k) be the first derivative of k**7/540 - k**6/540 - 19*k**3/3 + 19. Let c(o) be the third derivative of t(o). Factor c(j).
2*j**2*(7*j - 3)/9
Let g(y) be the first derivative of y**4/6 + 2*y**3/9 - 8*y**2/3 - 8*y - 5. Factor g(q).
2*(q - 3)*(q + 2)**2/3
Let g(q) = -11*q**4 - 11*q**3 - 7*q**2 + 29*q. Let u(h) = 5*h**4 + 5*h**3 + 3*h**2 - 13*h. Let v(n) = -4*g(n) - 9*u(n). Let v(x) = 0. Calculate x.
-1, 0, 1
What is a in 50 - 19/2*a**2 - 1/2*a**3 - 40*a = 0?
-10, 1
Factor -16*b**3 + 9*b - 180*b**2 + 240*b**2 - 41*b - 12.
-4*(b - 3)*(b - 1)*(4*b + 1)
Let d(b) be the second derivative of -b**8/840 - b**7/105 - b**6/45 - 7*b**3/2 + 10*b. Let a(j) be the second derivative of d(j). Factor a(r).
-2*r**2*(r + 2)**2
Suppose -356/9*g**2 + 0 + 0*g + 2/9*g**3 = 0. What is g?
0, 178
Let b(u) be the third derivative of u**8/392 + u**7/70 - u**6/35 - 11*u**5/70 + 15*u**4/28 - 9*u**3/14 + 442*u**2. Solve b(v) = 0 for v.
-3, 1/2, 1
Let s be 1/(332/(-336) - -1). Factor 3*n**3 - 42 + 6 - 15*n**3 + 68*n**2 - s*n.
-4*(n - 3)**2*(3*n + 1)
Determine r, given that 84*r - 64/3*r**3 + 56/3*r**2 + 48 + 4/3*r**5 - 8/3*r**4 = 0.
-3, -1, 3, 4
Let r(t) = -14*t**3 - 323*t**2 + 5168*t + 11552. Let h(v) = 3*v**3 + 80*v**2 - 1292*v - 2888. Let g(m) = -9*h(m) - 2*r(m). Factor g(s).
(s - 38)**2*(s + 2)
Let o = 1395 + -19529/14. Let p(x) be the first derivative of o*x**4 - 8 + 0*x + 0*x**3 + 0*x**2 + 2/35*x**5. What is b in p(b) = 0?
-1, 0
Suppose 2*s - 1 = 3*h + 9, 16 = 4*s - 4*h. What is a in -4/3*a + 2/3 + 2/3*a**s = 0?
1
Let b(x) be the second derivative of -x**7/7 - 3*x**6/2 - 129*x**5/20 - 29*x**4/2 - 18*x**3 - 12*x**2 + 42*x + 1. Suppose b(g) = 0. Calculate g.
-2, -1, -1/2
Suppose -3*x - 2*a = -6, -5*x - 17*a - 9 = -20*a. Let w(m) be the first derivative of -2/3*m**3 + 0*m + x*m**2 + 6. Find f such that w(f) = 0.
0
Let m(b) be the third derivative of 6*b**7/175 - 2*b**6/15 - 23*b**5/75 + b**4/5 - b**2 + 46. Solve m(p) = 0.
-1, 0, 2/9, 3
Let 22*y**3 - y**5 + 56*y**3 + 3*y**2 + 33*y**4 - 35*y**5 - 6*y = 0. What is y?
-1, -1/3, 0, 1/4, 2
Let p = 76/75 - 26/75. Let m(l) be the second derivative of -2*l + 0 - p*l**3 + 1/6*l**4 + l**2. Factor m(x).
2*(x - 1)**2
Let t(i) be the first derivative of -i**3/3 - 3*i**2/2 + 10*i - 42. Factor t(z).
-(z - 2)*(z + 5)
Let c(w) be the second derivative of -w**8/112 + 3*w**7/280 + w**6/60 + 5*w**3 - 3*w. Let v(s) be the second derivative of c(s). Suppose v(q) = 0. What is q?
-2/5, 0, 1
Let s(f) be the second derivative of 5*f**5 + 115*f**4/3 + 83*f**3/2 + 18*f**2 - 607*f. What is n in s(n) = 0?
-4, -3/10
Let m(y) be the third derivative of 1/600*y**6 - 1/100*y**5 + 0*y + 0*y**3 + 0 - 1/60*y**4 + 1/350*y**7 + 1/1680*y**8 - 3*y**2. Suppose m(w) = 0. What is w?
-2, -1, 0, 1
Let 22/7*y**3 + 2/7*y**4 + 36/7 + 90/7*y + 74/7*y**2 = 0. Calculate y.
-6, -3, -1
Let u = -3/8 - -7/8. Let n = -4/289 - -305/1156. Suppose -3/4*w**3 - n*w**4 - 1/4*w**2 + 3/4*w + u = 0. What is w?
-2, -1, 1
Let a be (-282)/(-705) + 2/(-6). Let f(x) be the third derivative of 0*x + 1/3*x**4 + a*x**5 - 2*x**2 + 0 + 1/180*x**6 + 8/9*x**3. Factor f(y).
2*(y + 2)**3/3
Factor 115/2*r - 25*r**2 - 30 - 5/2*r**3.
-5*(r - 1)**2*(r + 12)/2
Let w(s) = 10*s**2 + 3 - 16*s - 9*s**3 + 10*s + 6*s**4 - s**2. Let f(i) = 13*i**4 - 18*i**3 + 18*i**2 - 13*i + 7. Let y(p) = -3*f(p) + 7*w(p). Factor y(u).
3*u*(u - 1)**3
Let h(m) be the first derivative of -m**3/7 - 93*m**2/14 - 45. Solve h(t) = 0 for t.
-31, 0
Find f such that 871*f - 143*f**3 + 300 + 88*f**4 + 836*f**2 + 549*f + 1015*f**3 + 996*f**2 + 84*f**4 + 12*f**5 = 0.
-5, -3, -1, -1/3
Let o(q) be the first derivative of 8*q - 1 - 4*q**2 + 2/3*q**3. Factor o(y).
2*(y - 2)**2
Suppose -134*j = -127*j. Let n(z) be the third derivative of 0*z**4 + 0 - 2/105*z**7 - 6*z**2 + 1/30*z**6 + j*z**5 + 0*z**3 + 0*z. Factor n(m).
-4*m**3*(m - 1)
Let q = -10/1091 - -3293/2182. Factor 3/2*x**3 - 3*x**2 - q*x + 3.
3*(x - 2)*(x - 1)*(x + 1)/2
Let a(r) be the third derivative of r**9/1890 - r**8/672 + r**7/1260 - 19*r**4/24 + 10*r**2. Let x(t) be the second derivative of a(t). Factor x(w).
2*w**2*(w - 1)*(4*w - 1)
Let y(s) = -s**3 + 3*s**2 - s + 1. Let j(z) = -4*z**3 + 36*z - 16. Let v(k) = -j(k) + 8*y(k). Find l, given that v(l) = 0.
1, 2, 3
Suppose s = 43 - 11. Factor -2 + 0 - s*g**2 + 4.
-2*(4*g - 1)*(4*g + 1)
Suppose -34*q = -29*q - 10. Suppose r = -4*f - 3*r - 20, -2*f + q*r + 10 = 0. Solve 28/11*m**3 - 14/11*m**2 + f - 16/11*m**4 + 2/11*m = 0 for m.
0, 1/4, 1/2, 1
Factor 180 + 24*x + 4/5*x**2.
4*(x + 15)**2/5
Suppose -24*q = -12*q - 9*q. Let -20*y + 33*y**2 + 20*y**3 + 15 - 43*y**2 - 5*y**4 + q = 0. Calculate y.
-1, 1, 3
Let m(a) be the first derivative of -8*a + 12 + 8/3*a**3 - 1/2*a**4 + a**2. Factor m(r).
-2*(r - 4)*(r - 1)*(r + 1)
Let w(a) = 35*a**2 + 70*a - 460. Let t(k) = -k**2 + 5*k. Let h(z) = 30*t(z) + w(z). Factor h(l).
5*(l - 2)*(l + 46)
Factor 4*u**5 + 20 + 11*u**4 - 5*u**5 + 124*u**2 - 81*u + 7*u**3 + 13*u**4 - 93*u**3.
-(u - 20)*(u - 1)**4
Factor -168 - 45/2*f**2 + 3/2*f**3 + 108*f.
3*(f - 7)*(f - 4)**2/2
Let n = -312 - -316. Let g(q) be the third derivative of -1/40*q**n + 6*q**2 + 1/100*q**5 + 0 + 1/30*q**3 + 0*q - 1/600*q**6. Solve g(h) = 0.
1
Let x(g) = 4*g**2 + 7*g + 6. Let o be x(-1). Let h(t) be the third derivative of -1/100*t**5 + 1/20*t**4 + o*t**2 + 0*t**3 + 0 + 0*t. Let h(n) = 0. What is n?
0, 2
Factor 5*k**2 + 421 + 15*k - 421.
5*k*(k + 3)
Let c be (-5)/15*-9*16/72. Factor 4/3 + 2*q + c*q**2.
2*(q + 1)*(q + 2)/3
Let o be (2 - 185/92)/(6/260). Let y = 9/46 - o. Factor -1/3*r**2 + 1/3*r**4 - y*r**3 + 0 + 2/3*r.
r*(r - 2)*(r - 1)*(r + 1)/3
Let u(b) be the first derivative of -b**5/15 + 23*b**4/3 - 320*b**3 + 5400*b**2 - 18000*b - 570. Find z such that u(z) = 0.
2, 30
Let l be 207/138*((-12)/9)/(1*-3). What is u in -l*u**2 + 2/3*u**4 - 4/3*u - 2/3*u**5 + 2*u**3 + 0 = 0?
-1, 0, 1, 2
Let o = 151 + -149. Suppose 0 = 4*v + v - 5. Factor -j**o - 4 + v + 4.
-(j - 1)*(j + 1)
Let b(t) be the second derivative of 5*t**4/12 - 230*t**3/3 + 5290*t**2 + 12*t + 7. Factor b(h).
5*(h - 46)**2
Factor -79 + 529 + 556*w + 62*w**2 - 13*w**3 - 46*w + 15*w**3.
2*(w + 1)*(w + 15)**2
Suppose 5*p = 4*c - 5, 0*c + 4*p = -c + 17. Suppose -6*z = c*k - z + 25, -5*k - z = 5. Factor k*w**2 + 2/5*w**4 - 2/5 - 4/5*w**3 + 4/5*w.
2*(w - 1)**3*(w + 1)/5
Suppose 0 = 73*p - 79*p + 24. Let s(c) be the third derivative of 7*c**2 - 2/39*c**p + 1/78*c**5 + 4/39*c**3 + 0*c + 0 - 1/780*c**6. Factor s(i).
-2*(i - 2)**2*(i - 1)/13
Let a(n) be the third derivative of n**7/350 + 3*n**6/200 + 3*n**5/100 + n**4/40 + 4*n**2 - 49*n. Factor a(t).
3*t*(t + 1)**3/5
Let n = -784/17 + 7090/153. Factor -2/9*s**2 - n + 4/9*s.
-2*(s - 