+ 1135. Let k(g) = -55*h(g) - 2*z(g). What is f in k(f) = 0?
-2, 2
Let z(m) = 3*m + 23. Let s be z(-5). Factor 7*l**4 + 2*l**2 - 4*l**3 + 4*l - s*l**4 + 8*l**2 - 9*l**4.
-2*l*(l - 1)*(l + 1)*(5*l + 2)
Solve 68450*q + 2/3*q**3 + 12663250/3 + 370*q**2 = 0 for q.
-185
Let t(w) = 3 - 1 - 22*w + 25*w. Let q be t(0). Factor 4/7*g + 2/7 + 2/7*g**q.
2*(g + 1)**2/7
Let v(k) be the third derivative of 2*k**7/315 - k**6/15 + 8*k**5/45 + 75*k**2. What is p in v(p) = 0?
0, 2, 4
Let r(c) be the second derivative of 0 - c - 1/11*c**2 + 1/110*c**5 - 1/33*c**3 + 1/66*c**4. Factor r(n).
2*(n - 1)*(n + 1)**2/11
Let b be 2/(-37) + 14/259. Factor b - 4*d - 4/3*d**2.
-4*d*(d + 3)/3
Let f(c) be the third derivative of 1/1140*c**6 + 1/1995*c**7 - 1/228*c**4 - 1/570*c**5 + 0*c**3 + 0 + 0*c - 12*c**2. Factor f(p).
2*p*(p - 1)*(p + 1)**2/19
Let k be (-1040)/(-120) - ((-4)/3)/(-2). Factor -163*h + 183*h - 32 + k - 4*h**2.
-4*(h - 3)*(h - 2)
Let t(q) be the first derivative of 0*q + 1/15*q**5 - 11 + 0*q**2 - 3*q**3 + 1/90*q**6 + 0*q**4. Let p(d) be the third derivative of t(d). Factor p(v).
4*v*(v + 2)
Let v(d) = -d**2 - 94*d - 2304. Let h(f) = 3*f**2 + 281*f + 6912. Let j(m) = -6*h(m) - 21*v(m). Factor j(n).
3*(n + 48)**2
Let p(l) be the third derivative of -6*l**2 - 55/24*l**4 - 25/6*l**3 - 1/24*l**6 + 0 + 0*l - 7/12*l**5. Factor p(m).
-5*(m + 1)**2*(m + 5)
Let s = 22 - 18. Suppose -i + a + 7 = 0, 5*i - s*a = -2*a + 26. Factor 0*v + 0 - 1/2*v**3 + v**2 - v**i + 1/2*v**5.
v**2*(v - 2)*(v - 1)*(v + 1)/2
Let f be (-66)/(-21) + 1/(-7). Suppose 13 = 4*m - f. Factor -a**m - 10*a**2 - a - 2*a**3 + 4 + 7*a**4 + 3*a.
2*(a - 1)**2*(a + 1)*(3*a + 2)
Let r(a) be the second derivative of a**7/3360 + a**6/480 + a**5/240 + 23*a**3/6 - 7*a. Let b(m) be the second derivative of r(m). Factor b(q).
q*(q + 1)*(q + 2)/4
Factor 0 - 5/6*m + 5/6*m**2.
5*m*(m - 1)/6
Let r be -1*2 + -4 + (-2275)/(-375). Let t(i) be the second derivative of -r*i**3 - 2/5*i**2 + 1/30*i**4 + 0 - 6*i. What is p in t(p) = 0?
-1, 2
Let s(j) = -4*j**3 - 19*j**2 + 9*j + 22. Let i be s(-5). Factor -1/4*q**4 + 0*q + 0 + 0*q**i + 0*q**3.
-q**4/4
Suppose -5*w - 127 + 142 = 0. Let a = -34 + 49. Factor 0*g**4 + 5*g**3 - 40 - 25*g**3 - 5*g**4 - a*g**w - 90*g**2 - 100*g.
-5*(g + 1)*(g + 2)**3
Let s(r) be the third derivative of r**6/720 + r**5/120 - r**4/16 + 2*r**3 - 8*r**2. Let o(w) be the first derivative of s(w). Factor o(a).
(a - 1)*(a + 3)/2
Let r(v) be the second derivative of 3*v**5/80 + 43*v**4/48 + 43*v**3/12 + 3*v**2 + 2*v + 86. Factor r(o).
(o + 2)*(o + 12)*(3*o + 1)/4
Let u = -393 - -393. Let s(h) be the second derivative of 0 + u*h**4 + 1/90*h**5 + 8*h - 1/9*h**3 - 2/9*h**2. Factor s(w).
2*(w - 2)*(w + 1)**2/9
Let p be 50*((-24)/10)/(-6). Let -15*h**4 - 4*h**4 + 4*h**4 + 5*h**3 + 84*h**2 - p*h - 24*h**2 = 0. Calculate h.
-2, 0, 1/3, 2
Let x(g) be the third derivative of -27*g**6/10 - 33*g**5/5 - 19*g**4/6 - 2*g**3/3 - 34*g**2 + 2. Factor x(s).
-4*(s + 1)*(9*s + 1)**2
Suppose 5*f - 2*f = -p - 7, -p + 3*f = -17. Suppose 1/6*v**4 - 1/3*v**2 - 1/6*v**p + 1/6 - 1/6*v + 1/3*v**3 = 0. What is v?
-1, 1
Let y(b) be the second derivative of -23*b + 0 + 16/33*b**3 - 1/66*b**4 - 64/11*b**2. Solve y(n) = 0.
8
Let d(v) = -9*v + 63. Suppose 3*o + 5*u = 26, -7*u + 4*u - 32 = -5*o. Let k be d(o). Factor k - 2/11*a**2 - 6/11*a.
-2*a*(a + 3)/11
Factor -24200/17 - 23322/17*f**2 + 47960/17*f - 2/17*f**4 - 436/17*f**3.
-2*(f - 1)**2*(f + 110)**2/17
Let o(w) be the second derivative of w**7/210 + w**6/120 - w**5/20 - w**4/24 + w**3/3 - 3*w**2 - 7*w. Let g(d) be the first derivative of o(d). Factor g(j).
(j - 1)**2*(j + 1)*(j + 2)
Let f = -16 - -25. Determine b, given that 40*b + 2*b**3 - 40*b - 1 + 6*b**4 - 2*b**5 - 14*b**2 + f = 0.
-1, 1, 2
Let x(u) = -u**4 + 5*u**3 - 7*u**2 - 15*u + 24. Let i(k) = -k**4 + 5*k**3 - 8*k**2 - 14*k + 25. Let v(s) = -6*i(s) + 7*x(s). Factor v(b).
-(b - 3)**2*(b - 1)*(b + 2)
Let q(y) be the second derivative of y**7/210 + y**6/75 - 29*y**5/100 + 23*y**4/30 + 2*y**3/3 - 28*y**2/5 - 3*y - 2. Factor q(r).
(r - 2)**3*(r + 1)*(r + 7)/5
Suppose 3*q - n - 11 = 0, 0 = -4*q + 4*n + 32 - 4. Factor -3 + 12*x**q - 19*x**2 + 8*x**2 - 2*x.
(x - 3)*(x + 1)
Let z(f) be the third derivative of 0*f - 1/120*f**4 - 1/1050*f**7 + 20*f**2 + 1/300*f**5 + 0*f**3 + 0 + 1/600*f**6. What is b in z(b) = 0?
-1, 0, 1
Factor 305 - 2*f**2 - 46*f - 655 + 306.
-2*(f + 1)*(f + 22)
Let p(w) be the second derivative of -w**6/45 - w**5/30 - 9*w - 2. Factor p(m).
-2*m**3*(m + 1)/3
Let h(n) = -20*n**2 + 41*n + 25. Let k(p) = -5*p**2 + 10*p + 6. Let b(t) = 4*h(t) - 18*k(t). Factor b(u).
2*(u - 2)*(5*u + 2)
Factor -3*t**2 - 382*t - 2 - t**3 + 167*t + t**4 + 220*t.
(t - 1)**3*(t + 2)
Solve -15*n**2 + 30 - 39 + 44*n**3 + 13*n - 41*n**3 + 8*n = 0.
1, 3
Let k = -2301/2 - -1152. Factor 0 + k*q**4 + 3/2*q**5 + 0*q - 3/2*q**2 - 3/2*q**3.
3*q**2*(q - 1)*(q + 1)**2/2
Let j = -17 - -8. Let h be ((-14)/42)/(1/j). Factor -4 + 3*q + 5 + 5*q**2 + h + 5*q + q**3.
(q + 1)*(q + 2)**2
Let y(w) be the second derivative of 0 + 4*w - 1/8*w**4 - 5/12*w**3 + 1/2*w**2. Factor y(c).
-(c + 2)*(3*c - 1)/2
Let x be 63/108 + ((-25)/15)/5. Let o(m) be the second derivative of m**2 - 5*m + 0 + 1/6*m**3 - 2/3*m**4 + x*m**5. Factor o(b).
(b - 1)**2*(5*b + 2)
Factor -37/3*s**2 + 26/3*s - s**3 + 0.
-s*(s + 13)*(3*s - 2)/3
Let s(f) = 14*f**2 - 10*f + 3. Let c(n) = 58*n - 8*n**2 - 61*n**2 - 16 + 2*n - 9*n. Let m(a) = 2*c(a) + 11*s(a). Let m(i) = 0. What is i?
1/4
Suppose -13 = -l + 3*s, -l + 6*l = -4*s + 46. Let k be -4 - (((-162)/l)/3 - 1). Factor -k + 0*v + 3/5*v**2.
3*(v - 2)*(v + 2)/5
Let x(p) be the second derivative of 0 + 1/42*p**4 + 4/7*p**2 + 4/21*p**3 - 10*p. Suppose x(c) = 0. What is c?
-2
Let s(g) be the first derivative of -16*g**5/5 + 3*g**4 + 12*g**3 + 4*g**2 + 67. Factor s(w).
-4*w*(w - 2)*(w + 1)*(4*w + 1)
Let f = -211 + 214. Let l(g) be the third derivative of 0*g + 1/2*g**f - 2*g**2 + 0 + 1/4*g**4 + 1/20*g**5. Factor l(n).
3*(n + 1)**2
Let j(g) be the third derivative of -g**6/4140 + g**4/69 + 17*g**3/3 + 43*g**2. Let y(z) be the first derivative of j(z). Factor y(i).
-2*(i - 2)*(i + 2)/23
Find r, given that -16 - 7/2*r**4 - 21*r**2 + 47/2*r**3 - 64*r = 0.
-1, -2/7, 4
Let m(l) = l - 1. Let a be m(1). Let c = 20190 - 20186. Determine o, given that a*o + 4/5*o**3 + 0 + 4/5*o**2 + 1/5*o**c = 0.
-2, 0
Let n(q) be the third derivative of q**6/72 - q**5/12 - 5*q**4/8 + 11*q**3/6 - 9*q**2. Let z(p) be the first derivative of n(p). What is s in z(s) = 0?
-1, 3
Let v be 4 + -6 - 241/(-120). Let o(r) be the third derivative of 0 - 5/144*r**4 - 1/18*r**3 + 1/1260*r**7 + 9*r**2 + 1/720*r**6 - v*r**5 + 0*r. Factor o(x).
(x - 2)*(x + 1)**3/6
Factor -16*f**2 - 8*f + 23*f**3 + 24*f**3 - 45*f**2 + 5*f**2 - 12*f - 7*f**4.
-f*(f - 5)*(f - 2)*(7*f + 2)
Let u = -54 - -57. Factor 0*q - q - q**2 - 5*q**u + 6*q**3 + 4 - 3*q.
(q - 2)*(q - 1)*(q + 2)
Let d = 28503/5 + -5699. Find h such that d*h - 4/5*h**2 - 4/5 = 0.
1
Let q(k) be the third derivative of 0*k - 6*k**2 + 0 + 1/42*k**4 + 0*k**3 - 1/210*k**5. Let q(h) = 0. Calculate h.
0, 2
Suppose 0 = -3*p + 30 + 18. Factor -28 + 22 + p*l - 10 - 4*l**2.
-4*(l - 2)**2
Let b(i) be the third derivative of -1/2*i**3 + 0 + 0*i + 5*i**2 + 0*i**4 + 1/20*i**5. Factor b(q).
3*(q - 1)*(q + 1)
Let p be 7 + 1 + (-54)/15 + -5 + 1. Find k, given that 0*k**2 - 2/5*k**3 + p*k + 0 = 0.
-1, 0, 1
Suppose 5*x = -200 - 5. Let q be 16/(-104) - x/13. Factor -z**3 + z**4 - 3*z**q + 11*z**4 - 26*z**4.
-2*z**3*(7*z + 2)
Let m(l) = -l**2 - 45*l - 395. Let c(o) = o - 1. Let z(x) = 15*c(x) + 3*m(x). Determine t, given that z(t) = 0.
-20
Let o(b) be the first derivative of 0*b**2 + 24/5*b**5 + 7 - 9/2*b**4 + 0*b - 5/3*b**6 + 4/3*b**3. Factor o(t).
-2*t**2*(t - 1)**2*(5*t - 2)
Suppose 3*k - c - 6 = 0, -4*c - 12 = 5*k - 39. Find w, given that 2/13*w**2 + 2/13*w - 2/13 - 2/13*w**k = 0.
-1, 1
Factor 2*k**2 + k**4 + 182*k**3 - 2*k**2 + 2*k**4 - 170*k**3.
3*k**3*(k + 4)
Let v(d) be the second derivative of -d**6/270 + d**5/30 + 2*d**3 + 2*d. Let u(a) be the second derivative of v(a). Find r, given that u(r) = 0.
0, 3
Suppose -58 - 52 = -11*c. Let a = c - 8. Find j, given that -8/7*j - a*j**3 + 0 - 32/7*j**2 = 0.
-2, -2/7, 0
Let l(w) = w**2 - 4*w + 3. Let i be ((-4)/4)/(-1) -