/4*t**g.
-3*(t - 2)*(t - 1)*(t + 1)/4
Factor 201*u**2 - 10*u + 8*u - 268*u**2.
-u*(67*u + 2)
Let r(o) = -o + 13. Let f be r(10). Let w be (f/(-4))/(7/(-28)). What is z in -15*z**2 + 10*z**2 + z**w + 2*z + 2*z**3 = 0?
0, 2/3, 1
Let q = 1765 + -1765. Factor -1/2*r + q - 1/2*r**5 + r**3 + 0*r**2 + 0*r**4.
-r*(r - 1)**2*(r + 1)**2/2
Suppose -10*w**2 - 12*w**2 - 11*w + 4*w**3 - 5*w + 4*w**2 + 2*w**2 + 4*w**4 = 0. What is w?
-2, -1, 0, 2
Determine q so that q**2 + 501*q - 4 - 248*q - 250*q = 0.
-4, 1
Let m(w) be the second derivative of 3*w**5/100 + w**4/4 - 7*w**3/5 - 219*w. What is v in m(v) = 0?
-7, 0, 2
Let y = 131 - 128. Factor -1 + 1 + 20*s**4 - s**y - 19*s**4.
s**3*(s - 1)
Let -42/5*d + 1/5*d**2 + 441/5 = 0. Calculate d.
21
What is b in 8/19*b**2 + 0 + 6/19*b**5 + 0*b - 30/19*b**3 + 16/19*b**4 = 0?
-4, 0, 1/3, 1
Let d(g) be the third derivative of 0*g**4 - 1/120*g**5 + 0*g**3 + 0 - 9*g**2 + 0*g. Factor d(s).
-s**2/2
Let l = 2/587 + 1721/11740. Let n(p) be the third derivative of -1/8*p**4 + l*p**5 + 0*p - 2*p**3 + 0 - p**2. Factor n(h).
3*(h + 1)*(3*h - 4)
Suppose 5*k = 4*k + 2. What is t in -13*t**4 + 14*t**4 + 4*t**2 + k*t**3 + 2*t**3 = 0?
-2, 0
Let f(x) = 7 - 3*x + 11*x**2 - 2*x - 7*x**2 + 0*x. Suppose -16 = -5*i + 14. Let r(g) = 5*g**2 - 6*g + 8. Let u(d) = i*r(d) - 7*f(d). Let u(c) = 0. Calculate c.
-1/2, 1
Let d(y) be the second derivative of -1/20*y**5 - y**3 - 13*y + 7/12*y**4 + 0 + 0*y**2. Factor d(w).
-w*(w - 6)*(w - 1)
Let d(t) = 6*t + 9. Let s be d(-1). Determine m so that m**5 - 33*m**2 - 3*m**s - 36*m + 5*m**5 - 3*m**5 + 9*m**4 + 715 - 727 = 0.
-2, -1, 2
Let f be 1/((-4)/(-38))*(-3 + 5). Let x = 46 - 24. Solve g**2 + x*g - f*g + 2*g**2 = 0 for g.
-1, 0
Let k(o) be the third derivative of -o**5/12 - 5*o**4/24 - 5*o**2 + 1. Solve k(w) = 0 for w.
-1, 0
Let v be -10 + 7 - (-7 + 0/(-1)). Suppose -2*j - v*o = -2*o, 2*o + 15 = 3*j. Determine w, given that -4/11*w**2 + 0 - 2/11*w**j - 2/11*w = 0.
-1, 0
Let i(v) be the third derivative of v**8/336 - v**7/84 + v**6/72 + v**3/3 + 6*v**2. Let g(f) be the first derivative of i(f). Factor g(r).
5*r**2*(r - 1)**2
Let p(g) be the second derivative of 1/180*g**5 - 7*g - 1/36*g**4 + 5/2*g**2 + 0 - 1/6*g**3. Let h(x) be the first derivative of p(x). Factor h(l).
(l - 3)*(l + 1)/3
Factor 400*m**3 - 205*m**4 - 6213*m + 6213*m + 11*m**2 + 9*m**2.
-5*m**2*(m - 2)*(41*m + 2)
Suppose 0 = -0*x + 2*x - 46. Factor -4*s**3 - 16 - 9*s + 14*s - 8*s**2 + x*s.
-4*(s - 1)**2*(s + 4)
Let b be -2*1/2*-4. Suppose -2*f + 0 = -b. Let -10*w + 8*w**f - 18 - 9*w**2 - 7 = 0. What is w?
-5
Suppose -14*m = -7*m. Let l(t) be the second derivative of 1/60*t**5 + m*t**2 + 0*t**3 + 4/45*t**6 + 0 + 4*t - 1/18*t**4 + 5/126*t**7. Factor l(d).
d**2*(d + 1)**2*(5*d - 2)/3
Let s be ((-3)/(-9))/((-41)/6 + (64 - 57)). Factor 0*z - 3/2*z**3 + 21/2*z**s + 0.
-3*z**2*(z - 7)/2
Let y = -55 + 55. Suppose y + 21*r - 6*r**3 - 15*r - 3*r**4 + 3 = 0. What is r?
-1, 1
Let w(r) = r**2 - 2*r - 4. Let f be w(4). Let d be 272/(-238)*(2 + (-22)/4). Determine j, given that -12*j**2 + 2*j**4 - d*j**3 - 1 + f*j + 2*j**4 + 9 = 0.
-1, 1, 2
Let v(r) be the first derivative of 4*r**5/5 + 17*r**4 + 392*r**3/3 + 440*r**2 + 672*r + 291. Determine q, given that v(q) = 0.
-7, -6, -2
Suppose -2 - 2 = -2*p. Suppose -g = -p*v + 9, v - 3*g - 19 = -v. Let -2*n**v - 73*n**3 + 4*n**2 + 75*n**3 = 0. What is n?
-1, 0
Let a(k) be the third derivative of 5*k**8/336 + k**7/7 + 7*k**6/24 - k**5/2 - 5*k**4/3 + 135*k**2. Determine d, given that a(d) = 0.
-4, -2, -1, 0, 1
Let d(x) be the first derivative of 5*x**4/12 + 17*x**3/6 + 3*x**2 + 4*x + 7. Let z(m) be the first derivative of d(m). Factor z(j).
(j + 3)*(5*j + 2)
Let k(z) be the first derivative of -z**5/20 - z**4/4 + z**3 - 240. Factor k(t).
-t**2*(t - 2)*(t + 6)/4
Suppose -k = 2*t + 4, -2*t - 2 = -4*k + 6*k. Let m be 17/18 + 2/(-4). Factor 2/3*f**k - 8/9*f - 2/9*f**4 - 8/9 + m*f**3.
-2*(f - 2)**2*(f + 1)**2/9
Let -28/3 - 2/9*h**2 - 86/9*h = 0. Calculate h.
-42, -1
Let d(z) be the first derivative of 1/5*z**2 - 2/15*z + 2/45*z**3 - 5 - 1/10*z**4. Let d(t) = 0. Calculate t.
-1, 1/3, 1
Let k(f) be the third derivative of 0*f**3 + 39*f**2 + 0*f**5 + 0*f**4 + 0 + 1/273*f**7 + 0*f + 1/390*f**6 - 1/312*f**8. Factor k(o).
-2*o**3*(o - 1)*(7*o + 2)/13
Let v = 69098 - 3041189/44. Let u = -79/4 - v. Factor 0 + 6/11*f**3 + 0*f - 4/11*f**2 + 0*f**4 - u*f**5.
-2*f**2*(f - 1)**2*(f + 2)/11
Let p be (-7)/(-28) - 3/12. Let k(j) be the second derivative of p*j**2 - 3/140*j**5 + 1/7*j**4 + 0 - 2/7*j**3 - 2*j. Determine a, given that k(a) = 0.
0, 2
Let o = 65/237 + -17/158. Determine j, given that -1/2*j + o*j**2 + 1/3 = 0.
1, 2
Let r(p) be the first derivative of -2*p**3/51 - 9*p**2/17 + 20*p/17 - 120. Solve r(t) = 0.
-10, 1
Factor 172/11*f + 3698/11 + 2/11*f**2.
2*(f + 43)**2/11
Let r be 8/6*(-9)/6. Let n = 1 - r. Factor n*b**3 - 6 + 9*b**2 + 0 + 2*b - 3*b**4 - 5*b.
-3*(b - 2)*(b - 1)*(b + 1)**2
Let r(b) be the third derivative of -b**9/9072 + b**8/2520 - b**7/2520 + 17*b**3/6 - 2*b**2. Let j(q) be the first derivative of r(q). Factor j(t).
-t**3*(t - 1)**2/3
Factor -60*g**3 + 45*g**3 + 7*g**2 - 13*g**2 + 49*g - 6 - 22*g**2.
-(g - 1)*(g + 3)*(15*g - 2)
Let y = -90 + 92. Let z(v) be the first derivative of 4*v + 2/3*v**3 - 3*v**2 - y. Suppose z(o) = 0. Calculate o.
1, 2
Let m(v) = -27*v**2 - 13*v**3 + 7*v - 6 - v**5 - 1 + 34*v**2. Let r(n) = 4*n**3 - 2*n**2 - 2*n + 2. Let q(t) = -2*m(t) - 7*r(t). Solve q(w) = 0.
-1, 0, 1
Suppose 0 = 2*h + h. Factor h*q**2 - q**2 + 30*q - 3*q + 4*q**2.
3*q*(q + 9)
Suppose -56*j - 1386 = -2226. What is w in -40*w + 35/3*w**2 + j = 0?
3/7, 3
Let v = 315/2 - 156. Let y(l) be the second derivative of 0 - 6*l**2 + 1/4*l**4 + 10*l + v*l**3. Determine r so that y(r) = 0.
-4, 1
Let w(h) = 106*h**2 + 954*h. Let s be w(-9). Let -8/7*c**3 + 0 + 4/7*c + s*c**4 + 4/7*c**5 + 0*c**2 = 0. What is c?
-1, 0, 1
Let x = -83 - -87. Suppose 9*n + x*n - 26 = 0. Factor 0 + 3/7*a**n + 3/7*a.
3*a*(a + 1)/7
Let h(b) be the third derivative of b**7/70 - 9*b**6/20 + 81*b**5/20 + 175*b**2. Factor h(o).
3*o**2*(o - 9)**2
Let q(x) = x**4 + x**3 - 2*x**2 + 1. Let o(i) = 6*i**4 - 79*i**3 + 383*i**2 - 490*i + 1. Let d(v) = o(v) - q(v). Factor d(k).
5*k*(k - 7)**2*(k - 2)
Let d = 33 - 33. Suppose d = 14*x - 12*x - 4. Factor 27/4 + 3/4*g**x - 9/2*g.
3*(g - 3)**2/4
Find b such that -5/3*b - 2 + 1/3*b**2 = 0.
-1, 6
Let x(s) be the first derivative of -s**5/3 + 23*s**4/12 + 40*s**3/9 + 2*s**2 - 393. Let x(f) = 0. Calculate f.
-1, -2/5, 0, 6
Let o = -2261 - -11311/5. Let 0 + 0*a**3 - o*a**2 + 2/5*a**4 - 4/5*a = 0. What is a?
-1, 0, 2
Let y(o) be the second derivative of o**6/360 + o**5/180 - 5*o**2 - 6*o. Let a(q) be the first derivative of y(q). Factor a(c).
c**2*(c + 1)/3
Suppose -165 + 7589*r**2 + 4*r + 14*r - 7586*r**2 = 0. What is r?
-11, 5
Suppose -4*n = -0 - 24. Factor -5*c + n*c - 3*c**2 - c + 12.
-3*(c - 2)*(c + 2)
Suppose -3*g - 74 = -4*m, 6*m - 2*g = 4*m + 38. Suppose 13*t - m*t = -8. Factor -2/5*s**t + 4/5*s - 2/5.
-2*(s - 1)**2/5
Suppose -158 - s**2 - 182 + 51 + 34*s = 0. Calculate s.
17
Let p(f) be the third derivative of -f**6/20 + 13*f**5/20 - 5*f**4/2 + 9*f**3/2 - 4*f**2 + 3*f. Factor p(g).
-3*(g - 1)**2*(2*g - 9)
What is z in 9*z**2 + 3/2*z**4 + 27075/2 - 42*z**3 + 3990*z = 0?
-5, 19
Let j(p) = 5*p**3 + 9*p**2 + 22*p + 6. Let z(g) = -10*g**3 - 19*g**2 - 42*g - 11. Let m(v) = -11*j(v) - 6*z(v). What is x in m(x) = 0?
-2, -1, 0
Suppose -2/11*q**4 + 26/11*q**3 + 0 + 40/11*q - 64/11*q**2 = 0. What is q?
0, 1, 2, 10
Let o = -3035 + 136576/45. Let u(c) be the third derivative of 0 + o*c**5 + 0*c**3 + 1/18*c**4 - 6*c**2 + 0*c. Find d, given that u(d) = 0.
-1, 0
Factor 0 - 50/19*t**2 + 28/19*t**3 - 2/19*t**4 + 24/19*t.
-2*t*(t - 12)*(t - 1)**2/19
Let w be -11 + (-561)/(-77) + 4. Factor w*l**3 + 0*l + 0*l**2 - 2/7*l**4 + 0.
-2*l**3*(l - 1)/7
Let i(u) = -u**3 + 20*u**2 - 17*u - 34. Let a be i(19). Let z be (2/a)/(14/21). Find m, given that 3/4*m**2 + 0 + z*m = 0.
-1, 0
Let g = -21 + 13. Let v be 6/(-24) + (-42)/g. Suppose y**2 - y - 3*y + 3*y**3 - 10*y**5 - y**4 + 2*y + 9*y**v = 0. Calculate y.
-2, -1, 0, 1
Let s(y) be the second derivative of y**5/20 - 5*y**4/12 + 4*y**3/3 - 2*y**2 + 14*y - 4. Find b, given that s(b) = 0.
1, 2
Let