*h + 19*h + 25. Let x be 1/2*0/h. Determine p so that 2/3*p**2 + 2/3*p + x = 0.
-1, 0
Let k(a) be the first derivative of 0*a - 1/20*a**5 + 159 + 1/8*a**2 + 3/16*a**4 - 1/4*a**3. Let k(f) = 0. What is f?
0, 1
Let d be (-224)/144 + 6 + -4*1. Let f(m) be the third derivative of -1/45*m**5 + 0*m - 1/6*m**4 - d*m**3 + 0 - 11*m**2. Determine n so that f(n) = 0.
-2, -1
Let -1/3*j**2 + 344/3 + 343/3*j = 0. What is j?
-1, 344
Let z = -17535/68 + 4405/17. Find g, given that -z - 7/8*g - 1/8*g**2 = 0.
-5, -2
Let o(p) be the third derivative of -2/27*p**3 + 1/45*p**6 - 2*p**2 + 7/108*p**4 + 14/135*p**5 + 0 + 83*p. Solve o(g) = 0.
-2, -1/2, 1/6
Suppose 5*c + 35 = 0, 3*x - 3*c + 7*c = -13. Let i(p) be the first derivative of 9/10*p**4 + 2*p**3 - 1/5*p**6 - 6/25*p**x + 0*p + 16 + 6/5*p**2. Factor i(o).
-6*o*(o - 2)*(o + 1)**3/5
Factor -5600*g - 3*g**2 - 97 + 5502*g + 2*g**2.
-(g + 1)*(g + 97)
Let q be (700/119 - 6) + (-23)/(-51) + -34 + 39. Solve -16/3*w**4 + 4/3*w**5 + 4/3*w - q*w**2 + 0 + 8*w**3 = 0.
0, 1
Let i be (-20)/160*(-144)/27. Suppose 0 + 4/3*t**2 + 2/3*t**3 - 4/3*t**4 - i*t**5 + 0*t = 0. What is t?
-2, -1, 0, 1
Suppose -39*b + 123*b - 71*b = -1 + 1. Factor b + 3/5*q**3 + 9/5*q - 12/5*q**2.
3*q*(q - 3)*(q - 1)/5
Let g = -251 + 280. Factor -g*f**2 + 2*f**4 + 35*f**2 + 2*f + 0*f + 6*f**3.
2*f*(f + 1)**3
Let a = -218 - -174. Let k be (-51)/(-2)*a/(-132). Factor u**3 + k*u**2 + 8 + 20*u.
(u + 4)**2*(2*u + 1)/2
Let k = 196268/15 + -39250/3. Suppose -13/5*w**2 - 1/5*w**4 + k*w**3 + 12/5*w - 4/5 = 0. Calculate w.
1, 2
Let s(y) be the second derivative of y**6/20 - 33*y**5/40 - 10*y**4 - 2*y - 214. Factor s(n).
3*n**2*(n - 16)*(n + 5)/2
Let s(g) be the first derivative of g**4/24 - 3*g**3/4 + 9*g**2/2 - 69*g - 144. Let f(y) be the first derivative of s(y). Factor f(c).
(c - 6)*(c - 3)/2
Let a(i) = 7*i + 11. Let k be a(-1). Suppose 0 = -5*b + 10, -23 = -4*d - k*b - 3. Suppose 2*m**2 + 0*m**d - 2/3*m**4 - 4/3*m + 0 = 0. What is m?
-2, 0, 1
Let p(i) = -i + 2. Let w be p(-4). Let d be (6 - w)*(2 - 0 - 1). Factor d*t**2 + 28*t - 3*t**3 - 16*t**4 + 8*t**2 - 13*t**3 - 4*t**5 + 8 - 8*t.
-4*(t - 1)*(t + 1)**3*(t + 2)
Suppose -5*w = -25, 3*q - 3*w + 0*w + 4143 = 0. Let u = -1371 - q. Let -2/7*l - 20/7*l**3 - 4/7*l**4 + 6/7*l**u - 4/7 + 24/7*l**2 = 0. Calculate l.
-2, -1/3, 1
Let h(v) = v**2 - 2*v + 1. Let y(u) = 41*u + 351. Let i(x) = 3*h(x) - 3*y(x). Factor i(z).
3*(z - 50)*(z + 7)
Suppose 11 = m + 7. Suppose 5*t = r - 12, 4 = -0*r + m*r + 2*t. Find i such that 8*i**2 - r + 4 - 2 - 2*i**4 = 0.
-2, 0, 2
Suppose 90*w = -108 + 468. Let y(r) be the second derivative of -1/12*r**w + 1/3*r**3 - 1/2*r**2 + 4*r + 0. Find d, given that y(d) = 0.
1
Let v(d) be the second derivative of -d**4/4 - 9*d**3/2 - 27*d**2 - 5794*d. Determine l, given that v(l) = 0.
-6, -3
Let u(m) = 1 - m**2 + 12*m + 14*m - 26*m. Let c(z) = -z**3 - 18*z**2 + z + 18. Let i(l) = 3*c(l) - 15*u(l). Let i(j) = 0. What is j?
-13, -1, 1
Let y(f) be the second derivative of -63*f - 1/105*f**6 - 8/21*f**4 - 1/10*f**5 + 0*f**2 - 4/7*f**3 + 0. What is q in y(q) = 0?
-3, -2, 0
Let k be 51 - (-3 + (3 - -3)). Suppose 6*r = 4*r + k. Let -5*i**3 + r*i**3 - 3*i**2 + 2*i**4 + 18 - 11*i**3 - i**2 - 24*i = 0. What is i?
-3, 1
Determine c so that 260*c**2 - 3108*c - 756804 - 48168 - 263*c**2 = 0.
-518
Let f(g) be the first derivative of 53*g**6/3 + 4*g**5/5 - 371*g**4/2 + 608*g**3/3 + 12*g**2 - 12405. Find m such that f(m) = 0.
-3, -2/53, 0, 1, 2
Let t(o) be the first derivative of 3*o**4/16 - 9*o**3/2 - 279*o**2/8 + 165*o/2 + 389. Factor t(h).
3*(h - 22)*(h - 1)*(h + 5)/4
Let n(u) be the third derivative of -u**7/1365 + 7*u**6/260 - 34*u**5/195 - 3*u**2 + 838. Factor n(i).
-2*i**2*(i - 17)*(i - 4)/13
Let d(g) be the second derivative of g**7/945 + g**6/90 + g**5/54 - 59*g**2/2 - 3*g + 6. Let o(b) be the first derivative of d(b). Suppose o(w) = 0. What is w?
-5, -1, 0
Let z(w) = w**4 - 25*w**3 + 6*w**2 + 3. Let k be (-4841)/824 - (-1)/(-8). Let j(r) = -5*r**4 + 99*r**3 - 26*r**2 - 13. Let c(m) = k*j(m) - 26*z(m). Factor c(h).
4*h**3*(h + 14)
Let s(r) be the first derivative of -r**3 + 1623*r**2 + 2165. Factor s(j).
-3*j*(j - 1082)
Let h be (-693)/154*(-56)/3. Let p be 2 + (-39)/h + (-10)/8. Let p*b**5 + 18/7*b**3 + 2*b**2 + 10/7*b**4 + 0 + 4/7*b = 0. Calculate b.
-2, -1, 0
Let v(z) be the second derivative of -z**5/170 + 3*z**4/17 - 32*z**3/17 + 160*z**2/17 - 3339*z. Find i, given that v(i) = 0.
4, 10
Find p, given that -1/7*p**2 - 1384/7*p - 478864/7 = 0.
-692
Suppose -5*g + 2180 = -7325. Suppose -101 = 3*b - g. Let 6 - b*x**2 - 4*x + 2 + 596*x**2 = 0. What is x?
-2, 1
Let f(p) be the first derivative of -p**6/40 + 21*p**5/80 - 3*p**4/8 - 23*p - 16. Let x(q) be the first derivative of f(q). Factor x(h).
-3*h**2*(h - 6)*(h - 1)/4
Let m(k) be the second derivative of k**6/1080 + k**5/180 + k**4/108 - k**2 + k + 8. Let g(p) be the first derivative of m(p). Factor g(c).
c*(c + 1)*(c + 2)/9
Let v = -75 + 121. Factor a**2 - 44*a + v*a + a**3 + 2*a**2.
a*(a + 1)*(a + 2)
Let r = 140 - 120. What is t in -4*t + 29*t**4 - 28*t**2 + 8*t**5 - 9*t**4 + 0*t - 24*t**3 + r*t**3 + 8 = 0?
-2, -1, 1/2, 1
Suppose 2*f + 549 = 647. Suppose 11 = 10*x - f. Factor 3*k**2 + x*k + 1/2*k**3 + 4.
(k + 2)**3/2
Let x = -99384 + 99386. Let u be -2 + 5 - (-12)/(-28). Solve -u - 20/7*o - 2/7*o**x = 0 for o.
-9, -1
Let g = -583/2 - -142. Let i = g + 150. Factor 1/2 + 1/2*h**5 - h**3 + 1/2*h + i*h**4 - h**2.
(h - 1)**2*(h + 1)**3/2
What is o in 131*o + 357*o**2 - 352*o**2 + 120*o + 290 + 44*o = 0?
-58, -1
Let z(i) = -4*i**4 + i**3 + i**2 - i + 1. Let f(h) = -28*h**4 + 345*h**3 + 1657*h**2 + 1863*h + 569. Let a(n) = -f(n) + 5*z(n). What is v in a(v) = 0?
-3, -1, -1/2, 47
Suppose 40*g = -57*g + 388. Let r(l) be the third derivative of 14*l**2 + 0*l**g + 1/12*l**3 + 0 + 0*l - 1/120*l**5. Factor r(i).
-(i - 1)*(i + 1)/2
Let m(j) be the third derivative of 0*j + 1/240*j**5 + 70*j**2 + 0 - 61/48*j**4 + 3721/24*j**3. Suppose m(k) = 0. Calculate k.
61
Let v(m) be the second derivative of -m**5/20 + 7*m**4/4 + 9*m**3 - 92*m**2 - 334*m + 5. Factor v(k).
-(k - 23)*(k - 2)*(k + 4)
Let h be 30/3 - (2405/105 - 16 - 8/(-84)). Find x such that 0 + 16/9*x + 46/9*x**2 - 2/3*x**h = 0.
-1/3, 0, 8
Suppose -4*i - 4*w + 20 + 28 = 0, -5*w = i - 20. Factor -i*h**3 + 19*h - 17*h**3 + 8*h + 3*h**5 - 2*h**2 + 9*h + 14*h**2.
3*h*(h - 2)**2*(h + 1)*(h + 3)
Let p(o) be the second derivative of 0 + 0*o**5 - 14*o**2 + 0*o**3 - 13*o + 0*o**4 + 1/40*o**6. Let b(t) be the first derivative of p(t). Factor b(g).
3*g**3
Let n(b) be the second derivative of b**5/5 + 8*b**4/3 + 10*b**3 + 454*b + 2. Determine j, given that n(j) = 0.
-5, -3, 0
Let r(u) = 2*u**2 + 15*u + 1. Suppose 29*y - 42 = -419. Let p(c) = -c**2 - 7*c. Let f(a) = y*p(a) - 6*r(a). What is v in f(v) = 0?
-3, 2
Let c(y) be the second derivative of y**4/18 + 1838*y**3/9 + 844561*y**2/3 + 185*y. Factor c(b).
2*(b + 919)**2/3
Let j be (6 + -19)*4*135/(-270). Determine p, given that 6*p**4 + 48*p**2 - 1/2*p**5 - j*p**3 + 0 - 32*p = 0.
0, 2, 4
Let c be (216/(-126))/(2/147). Let b be (c/(-315))/((-5)/(250/(-24))). Find q, given that -5/6*q + 0 + b*q**2 = 0.
0, 1
Factor 93*k**2 - 3*k - 6645 - 41*k**2 + 2*k**3 + 6489 + 104*k**2 + k**3.
3*(k - 1)*(k + 1)*(k + 52)
Factor -360/7*d**2 + 0 + 3/7*d**3 + 1725/7*d.
3*d*(d - 115)*(d - 5)/7
Let s(o) be the first derivative of o**5/2 - 15*o**4/8 + 5*o**2 + 9. Solve s(n) = 0 for n.
-1, 0, 2
Suppose -13*k - 240 = -734. Let 28*w**2 + 19*w**3 + k*w**2 + w**4 - 162 + 45*w + 31*w**2 = 0. What is w?
-9, -2, 1
Suppose -528*a**2 + 258*a**2 + 260*a**2 + 302*a = 0. Calculate a.
0, 151/5
Let x be 4/(-12)*0*(-4 + 0)/(-4). Let n(w) be the first derivative of 1/10*w**5 - 1/4*w**6 + 31 + 1/4*w**4 + 0*w + 0*w**2 + x*w**3. Solve n(g) = 0 for g.
-2/3, 0, 1
Suppose 12*g - 15*g = 9, -z + 4*g + 98 = 0. Suppose z*m = 77*m + 18. Suppose -4/5*o**m + 0*o - 2/5*o**4 + 0 - 4/5*o**5 + 2*o**3 = 0. What is o?
-2, 0, 1/2, 1
Factor 31 + 292*x - 2*x**2 - 1738 - 501.
-2*(x - 138)*(x - 8)
Let v(d) = -18*d**3 - 14*d - 12. Let j(b) be the third derivative of -b**6/60 + 4*b**2 + 6. Let n(f) = -20*j(f) + 2*v(f). Factor n(a).
4*(a - 3)*(a + 1)*(a + 2)
Determine p, given that 0 - 1/6*p**2 + 275/6*p = 0.
0, 275
Let m(v) = -2*v**2 - 48*v