ivative of -l**7/42 + l**6/24 + 33*l**5/40 + 15*l**4/16 - 76*l - 3. Solve w(s) = 0.
-3, -3/4, 0, 5
Factor -x**2 - 18*x - 13*x - 20*x - 19*x + 219.
-(x - 3)*(x + 73)
Factor -60/17*w**3 - 6/17*w**5 + 0 - 24/17*w**2 - 2*w**4 + 16/17*w.
-2*w*(w + 2)**3*(3*w - 1)/17
Let j(h) be the first derivative of h**4/10 + 8*h**3/5 - 4*h**2/5 - 96*h/5 - 361. Factor j(q).
2*(q - 2)*(q + 2)*(q + 12)/5
Let c = -8 - 51. Let l = c - -61. Factor 13*q - 3*q**3 - q**3 - 21*q**2 - 41*q + 53*q**l.
-4*q*(q - 7)*(q - 1)
Let k be 1540934/(-23466) - (1 - 68). Suppose 40/3*h - 28/3*h**2 - k*h**4 + 4/3*h**5 + 32/3 - 44/3*h**3 = 0. What is h?
-2, -1, 1, 4
Let f(i) be the third derivative of -i**5/270 + 839*i**4/54 - 703921*i**3/27 + 619*i**2. Let f(p) = 0. Calculate p.
839
Let r(s) = 7*s**2 - 604*s + 642. Let k(q) = -10*q**2 + 906*q - 959. Let f(x) = 5*k(x) + 7*r(x). Factor f(y).
-(y - 301)*(y - 1)
Suppose -d = 4, q + 11*d - 7*d = -10. Let k(b) be the second derivative of 3/16*b**4 + 1/60*b**q - 7/80*b**5 + 0 - 30*b + 1/8*b**2 - 5/24*b**3. Factor k(o).
(o - 1)**3*(2*o - 1)/4
Suppose r + 17719*g + 18 = 17716*g, -3*g = -3*r + 30. Suppose -3/4*i**2 + 3/4*i**r + 27/4 - 27/4*i = 0. What is i?
-3, 1, 3
Let m = -8751 - -8753. Solve 2/3*v**m - 32/3 - 10*v = 0.
-1, 16
Let m(t) = -4*t**2 + t - 4. Let w(v) = -12*v**2 - 4148*v + 1077428. Let u(l) = -4*m(l) + w(l). Solve u(q) = 0.
519
Let v(c) be the first derivative of -c**6/40 + c**5/10 + 3*c**4/8 + c**2/2 - 3*c - 76. Let r(u) be the second derivative of v(u). Determine d so that r(d) = 0.
-1, 0, 3
Let n(f) = -1. Let u(h) be the third derivative of h**5/6 - 5*h**4/24 - 25*h**3/6 + 30*h**2. Let b be 3/3 - (2 + -2). Let l(d) = b*u(d) - 25*n(d). Factor l(v).
5*v*(2*v - 1)
Let c = -150154/741 - -8494/39. Solve 48/19*a - 46/19*a**2 + c + 2/19*a**4 - 4/19*a**3 = 0.
-3, 4
Let o(w) be the third derivative of 0 - 1/8*w**4 + 0*w - 3/160*w**5 + 1/4*w**3 + 7/320*w**6 - 42*w**2 - 1/280*w**7. What is m in o(m) = 0?
-1, 1/2, 2
Suppose 3*l**3 - 27*l**3 + 270 + 43*l**2 + 17*l**2 - 225*l + 19*l**3 = 0. What is l?
3, 6
Let s be 6/(-9) - 77/(-21)*1. Suppose -3*m + 19 = 5*v, 31 = 10*v - 5*v - s*m. Let 0*d**3 + 2/11*d**v - 2/11*d + 0 + 4/11*d**4 - 4/11*d**2 = 0. What is d?
-1, 0, 1
Let p(c) be the second derivative of c**6/90 - c**5/12 + c**4/9 + 380*c. Solve p(f) = 0.
0, 1, 4
Let b(v) = 19*v**2 - 1524*v - 1215. Let q be b(81). Suppose 2/5*f**3 + q*f + 4/5*f**2 + 0 = 0. What is f?
-2, 0
Let u(h) = -3*h**3 - 3*h**2 + h - 2. Let k(f) = 25*f**3 + 115*f**2 - 230*f + 160. Let t(b) = -k(b) - 10*u(b). What is r in t(r) = 0?
1, 2, 14
Let 1096/3*r**2 + 364/3*r**3 + 1094/3*r - 2/3*r**5 - 4/3*r**4 + 364/3 = 0. Calculate r.
-13, -1, 14
Let p = -16 - -24. Determine f so that 92/3*f**2 + p*f**3 + 50/3 + 2/3*f**4 + 40*f = 0.
-5, -1
Let p(j) be the second derivative of j**5/30 + j**4/6 + j**3/3 - 3*j**2 + 58*j. Let k(d) be the first derivative of p(d). Factor k(u).
2*(u + 1)**2
Let r = -3637/652 + 950/163. Factor 0*p + 0 + r*p**3 - 1/4*p**5 + 0*p**2 + 0*p**4.
-p**3*(p - 1)*(p + 1)/4
Let t = 12297 - 12291. Let g(s) be the first derivative of 5*s**2 + 5/2*s**t + s**5 - 5/3*s**3 - 25/4*s**4 - 19 + 0*s. What is j in g(j) = 0?
-1, 0, 2/3, 1
Let o(h) be the first derivative of -9*h**4/10 - 29*h**3/5 + 123*h**2/10 - 18*h/5 + 290. Factor o(q).
-3*(q - 1)*(q + 6)*(6*q - 1)/5
Let f(x) be the second derivative of -x**8/210 - x**7/30 - x**6/45 + x**5/10 - 5*x**3/6 + x**2 + 9*x. Let r(t) be the second derivative of f(t). Factor r(k).
-4*k*(k + 1)*(k + 3)*(2*k - 1)
Let d be (516/344)/(-1*(-2)/6). Factor 0 - d*v**2 - 15/2*v**3 + 12*v**4 + 0*v.
3*v**2*(v - 1)*(8*v + 3)/2
Let t(a) = -37*a - 259. Let h be t(-7). Let r be h + (2/(-10))/((-2)/6). Solve -r*p**2 + 3*p - 18/5 = 0 for p.
2, 3
Factor 1/3*i**2 + 259/3*i + 588.
(i + 7)*(i + 252)/3
Suppose -12*w = -16*w + 12. Let z(x) be the second derivative of 0*x**w - 10*x + 0*x**2 + 0 + 1/8*x**4 - 3/40*x**5 - 3/80*x**6. Find j such that z(j) = 0.
-2, 0, 2/3
Let r(h) be the first derivative of -h**6/90 - h**5/12 - 2*h**4/9 - 2*h**3/9 - 147*h - 113. Let v(a) be the first derivative of r(a). Factor v(q).
-q*(q + 1)*(q + 2)**2/3
Let u = 174 + -171. Let -10*m**2 + 29*m**2 + 4*m**4 + 20 + 36*m**u + 33*m**2 - 36*m - 76 = 0. Calculate m.
-7, -2, -1, 1
Solve -1276/7*a**2 - 144/7 + 972/7*a**3 + 716/7*a - 260/7*a**4 - 8/7*a**5 = 0 for a.
-36, 1/2, 1
Let s be (-8 - -4)*-1 + -2. Let n be (-26)/(-10) + (-3)/5. Factor 9*h**2 + 21*h**s + 2*h**2 + n*h**3 - 14*h**3 + 4*h**5 - 8*h**4 - 16*h.
4*h*(h - 2)*(h - 1)**2*(h + 2)
Let u = 11131589/19 + -585869. Let -u*k**2 + 4/19 + 74/19*k = 0. What is k?
-2/39, 1
Let 9/2*r**2 + 1/2*r**3 + 26 - 24*r = 0. What is r?
-13, 2
Let d = 13358 + -13356. Let m(s) be the first derivative of -1/20*s**5 + 4 + 1/12*s**3 + 0*s**4 + 0*s**d + 0*s. Let m(u) = 0. Calculate u.
-1, 0, 1
Let c be 14 + (-153)/(34 + -17). Let d(m) be the second derivative of 1/30*m**3 + 1/300*m**6 + 0*m**4 - 1/100*m**c - 20*m + 0 - 1/20*m**2. Factor d(n).
(n - 1)**3*(n + 1)/10
Suppose -3*l - 9*w + 6*w = -45, 2*l = -4*w + 28. Suppose -24*v**5 - 3*v**4 + 5*v**5 - 6*v + l*v**5 + 3*v**2 + 9*v**3 = 0. What is v?
-2, -1, 0, 1
Let b = -75 + 60. Let d be (-23)/(-3) + (-5)/b. Let 3 - 6 + 7 - 4*y**4 - d*y**3 + 8*y = 0. What is y?
-1, 1
Let w(j) be the third derivative of j**5/270 - 2401*j**4/54 + 5764801*j**3/27 - 612*j**2 - 2*j. Determine q, given that w(q) = 0.
2401
Let z be (-32)/(-420)*3*((-120)/2)/(-6). What is o in 0 + 2/7*o**2 + z*o = 0?
-8, 0
Let m = 94 - 86. Suppose m*o - 225 = 7*o. Factor 186*l**4 - 7*l - 8*l - 6*l**3 + 21*l**5 - 3 + 42*l**2 - o*l**4.
3*(l - 1)**3*(l + 1)*(7*l + 1)
Let h(j) be the second derivative of 1/130*j**5 - 31/78*j**4 + 0 - 588/13*j**2 - j + 280/39*j**3. Factor h(w).
2*(w - 14)**2*(w - 3)/13
Let 268800 + 6/7*l**2 + 960*l = 0. What is l?
-560
Suppose 109*g - 104*g + 5*n - 50 = 0, -5*g = -5*n. Let c = g - 29/7. Factor 1/7*j**2 - c - 1/7*j.
(j - 3)*(j + 2)/7
Let i(v) be the second derivative of v**6/72 + v**5 + 115*v**4/24 - 155*v**3/6 + 12*v - 3. Let x(b) be the second derivative of i(b). Let x(s) = 0. What is s?
-23, -1
Let n(i) be the third derivative of i**5/105 - i**4/2 - 48*i**3/7 - 3*i**2 - 77*i. Determine j so that n(j) = 0.
-3, 24
Let g = -184/113 + 85005/226. Let a = -5231/14 + g. Factor -12/7*t**2 + 3/7*t**4 - a*t + 9/7 + 6/7*t**3.
3*(t - 1)**2*(t + 1)*(t + 3)/7
Suppose 28*p - 3*s = 30*p, 3*p + s = 7. Factor -p*h**2 + 10 - 2*h**2 + 3*h**2 + 2 - 2*h.
-2*(h - 2)*(h + 3)
Suppose -884*y = 3851*y + 17980 - 46390. Factor 1/2*v**2 - 7/2*v + y.
(v - 4)*(v - 3)/2
Let v(u) be the second derivative of u**4/66 - 6922*u**3/33 + 11978521*u**2/11 - 10190*u. Solve v(h) = 0.
3461
Let a(p) = -7*p**2 - 4111*p + 1119364. Let b(s) = 5*s**2 + 3086*s - 839523. Let q(f) = 8*a(f) + 11*b(f). Factor q(v).
-(v - 529)**2
Let s be 120/(-270) - (-34)/36. Let d(f) be the first derivative of -2/3*f**3 - s*f**2 + f + 6. Factor d(b).
-(b + 1)*(2*b - 1)
Let m(s) = 5*s**3 - 88*s**2 - 372*s - 392. Let f(z) = -29*z**3 + 529*z**2 + 2234*z + 2350. Let c(r) = -4*f(r) - 23*m(r). Factor c(j).
(j - 96)*(j + 2)**2
Let b(r) = -r**2 - 6*r - 4*r + 5*r + 3 + r. Let m be b(0). Suppose -4*x**3 - 273*x**2 + 6*x**m + 277*x**2 = 0. Calculate x.
-2, 0
Let z be 30*142/(-1065)*((-105)/33 + 3). Determine w so that z - 2/11*w**3 - 18/11*w + 12/11*w**2 = 0.
1, 4
Determine z so that 76*z - 224 - 2/7*z**4 + 150/7*z**2 - 8/7*z**3 = 0.
-7, 2, 8
Factor 2/5*s**4 - 34/5*s + 2*s**3 - 4 - 6/5*s**2.
2*(s - 2)*(s + 1)**2*(s + 5)/5
Let z(s) = -s**3 + 21*s**2 - 69*s + 3. Let b be z(17). Let q be (-5)/(240/b) - 13/78. Factor -3/4*o - q*o**2 - 5/8.
-(o + 1)*(o + 5)/8
Let b(r) = -r**2 - r + 2. Let c(s) = -s**2 + 13*s - 40. Let g(i) = i**2 - i - 1. Let j(z) = -c(z) + 4*g(z). Let l(t) = -3*b(t) - j(t). Solve l(v) = 0.
3, 7
Let j = -8230 + 8233. Let v(u) be the second derivative of -1/90*u**5 + 0 + 0*u**4 + 16/9*u**2 + 4/9*u**j + 19*u. Factor v(o).
-2*(o - 4)*(o + 2)**2/9
Let r(f) be the first derivative of 25 - 4/3*f**3 + 8*f**2 - 16*f. Suppose r(p) = 0. Calculate p.
2
Suppose q + 0*q = -3*p - 2, q + 3 = -2*p. Let b be (6/(-15))/(1/q). Factor -b*d**3 + 6*d**2 + 11 - 11 - 8.
-2*(d - 2)**2*(d + 1)
Let s(p) be the first derivative of 3/2*p**2 - 7/3*p**3 + 0*p - 42. Factor s(v).
-v*(7*v - 3)
Factor -3*d**3 + 7