*(c + 2)
Let z(q) be the second derivative of 3*q**5/5 - 88*q**4/3 - 122*q**3/3 + 60*q**2 - 940*q. Suppose z(x) = 0. Calculate x.
-1, 1/3, 30
Determine x so that 2/13*x**3 + 240/13 + 292/13*x + 54/13*x**2 = 0.
-20, -6, -1
Let f(q) be the third derivative of -q**5/15 - 1055*q**4/3 - 2226050*q**3/3 + 29*q**2 - 25. Factor f(y).
-4*(y + 1055)**2
Let q be (-10)/(-2) + (-507)/117. Let t(d) be the second derivative of 1/10*d**5 + 0*d**2 + q*d**4 + d**3 + 0 + 32*d. Factor t(s).
2*s*(s + 1)*(s + 3)
Let b = -314753/40 - -62957/8. Find r, given that 112/5 - 12/5*r - b*r**2 = 0.
-7, 4
Let r(v) be the first derivative of -2*v**5/5 + 9*v**4 + 80*v**3/3 + 171. Solve r(q) = 0.
-2, 0, 20
Factor 119850*a + 566*a**2 + 2/3*a**3 - 361250/3.
2*(a - 1)*(a + 425)**2/3
Let z(i) be the first derivative of 9*i + 1/42*i**4 + 25/7*i**2 + 11 + 10/21*i**3. Let w(t) be the first derivative of z(t). Suppose w(c) = 0. Calculate c.
-5
Factor -196*b - 34*b - 216 + 1776*b**2 - 28*b + 3*b**3 - 1815*b**2.
3*(b - 18)*(b + 1)*(b + 4)
Suppose -t = 4*t + 2*j - 23, -t = -4*j + 13. Factor 4*h + 9*h - t*h**2 - 78 + 5*h + 27*h.
-3*(h - 13)*(h - 2)
Let t be (-9821)/42 - (-6)/36. Let q = t - -235. Find d, given that 1/3*d**4 + 0*d + q*d**2 + 5/3*d**3 + 0 = 0.
-4, -1, 0
Let j(t) be the first derivative of -121*t - 1375/4*t**2 - 292 - 11/8*t**4 - 122/3*t**3. What is o in j(o) = 0?
-11, -2/11
Let l(w) be the first derivative of 0*w**3 + 0*w**2 - 5/2*w**5 + 0*w**4 + 0*w - 5/24*w**6 + 63. Factor l(n).
-5*n**4*(n + 10)/4
Let y = 1640 + -8196/5. Let q be 2*2 - 24/6. Factor 0*i**2 + 0 - y*i**3 + q*i.
-4*i**3/5
Let k(v) be the first derivative of 65 + 0*v + 1/5*v**5 - 4/3*v**3 + 1/2*v**4 - 4*v**2. Find q, given that k(q) = 0.
-2, 0, 2
Let z(r) be the third derivative of -294*r**3 - 1/15*r**5 - 8*r**2 + 7*r**4 + 6*r + 0. Suppose z(p) = 0. Calculate p.
21
Let l(x) be the first derivative of 28*x**5/5 - 13*x**4 - 116*x**3/3 + 18*x**2 + 72*x + 129. Let l(h) = 0. Calculate h.
-1, 6/7, 3
Let j(w) be the second derivative of 3*w**5/20 - 429*w**4/4 - 865*w**3/2 + 3879*w**2/2 + 11914*w. Factor j(p).
3*(p - 431)*(p - 1)*(p + 3)
Let o(k) be the first derivative of -28/3*k - 3*k**2 - 2/9*k**3 - 14. Factor o(f).
-2*(f + 2)*(f + 7)/3
Find m such that -442/5*m**2 - 2/5*m**4 + 0 - 152/5*m**3 - 292/5*m = 0.
-73, -2, -1, 0
Let d(x) = 2*x**2 - 37*x - 46. Let i be d(20). Factor i*a**2 - 42 - 27*a - 11*a**2 - 6*a**2.
-3*(a + 2)*(a + 7)
Factor -1/6*x**2 + 130 - 47/6*x.
-(x - 13)*(x + 60)/6
Let a = 186712 - 186708. Find p such that -33*p**a - 2*p + 317/4*p**3 - 103/4*p**2 + 1 = 0.
-2/11, 1/4, 1/3, 2
Let b(o) = -60459*o + 302298. Let k be b(5). Factor -4/3*p**k + 4/3*p + 1/3*p**4 - 4/3 + p**2.
(p - 2)**2*(p - 1)*(p + 1)/3
Suppose -291*n + 1414 = 4*m - 293*n, -n = 3*m - 1068. Let i = 711/2 - m. Factor -2 + 2*a - i*a**2.
-(a - 2)**2/2
Let k(x) = -3*x**4 - 8*x**3 + 16*x**2 + 4*x - 4. Let z = -37 - -41. Let h(t) = -t**4 + t - 1. Let m(o) = z*h(o) - k(o). Factor m(q).
-q**2*(q - 4)**2
Factor -14*r**2 - 108 + 1/3*r**3 + 75*r.
(r - 36)*(r - 3)**2/3
Suppose 12*w - 270 = -18*w. Suppose -8 + 16*h - w*h**2 + 6*h**2 + 7*h**2 - 5*h**2 - 7 = 0. What is h?
1, 15
Let z = 111563/40 + -2789. Let c(w) be the second derivative of -1/60*w**6 + 1/12*w**3 - 1/8*w**4 - 24*w + z*w**5 + 0*w**2 + 0. Find f, given that c(f) = 0.
0, 1
Solve -77*f**4 - 100*f**4 + 205*f**4 - 4024*f**3 - 1594*f - 102*f - 798 + 6828*f**2 - 338 = 0.
-2/7, 1, 142
Let 132*h**2 - 160*h**2 + 4*h**4 + 51*h**3 + 0*h**4 - h**5 - 120 + 122*h**2 - 28*h = 0. Calculate h.
-3, -2, 1, 10
Let r(g) be the third derivative of -g**6/840 + 41*g**5/14 - 42025*g**4/14 + 34460500*g**3/21 - 5*g**2 + 2*g + 32. Solve r(f) = 0 for f.
410
Suppose 0 - 4/3*w**3 - 32448*w + 416*w**2 = 0. Calculate w.
0, 156
Let w(y) be the third derivative of -y**7/280 - y**6/80 + y**5/40 + 9*y**3 - y**2 + y. Let q(z) be the first derivative of w(z). What is k in q(k) = 0?
-2, 0, 1/2
Let z = -334 - -336. What is b in 88*b + 32 + 154*b**2 + 4*b**4 + 48*b**3 - 70*b**z - 16*b**3 = 0?
-4, -2, -1
Let f be (-1 + 2)/((-1)/(-763)). Let j be (10/25*-1)/((-6)/(-56850)*-5). Suppose -15*b**5 - 5*b**4 + f*b**2 + 10*b**3 + 5*b**3 - j*b**2 = 0. What is b?
-1, -1/3, 0, 1
Let w(m) be the first derivative of 2*m**6/3 + 36*m**5/5 - 80*m**4 - 464*m**3 + 6080*m**2 - 19200*m - 1933. Suppose w(l) = 0. Calculate l.
-10, 3, 4
Let g(y) = 30*y + 453. Let l be g(-15). Let d be 2*l*(20/30 + 0). What is x in -4/3*x + 4/3*x**3 + 2/3*x**2 - 2/3*x**d + 0 = 0?
-1, 0, 1, 2
Let -1/2*s**4 + 1/2*s**2 + 0*s - 1/2*s**5 + 1/2*s**3 + 0 = 0. Calculate s.
-1, 0, 1
Let f(j) be the second derivative of -j**4/42 + 50*j**3/21 - 141*j**2/7 + 2*j + 527. What is g in f(g) = 0?
3, 47
Let h = 184848 + -554536/3. Suppose 2*n**3 + 4*n**2 + 0 + 1/3*n**4 + h*n = 0. Calculate n.
-2, 0
Let t(o) be the third derivative of -o**7/525 - 97*o**6/75 - 18623*o**5/75 + 1261*o**4 - 2535*o**3 - o**2 + 331*o - 6. Factor t(a).
-2*(a - 1)**2*(a + 195)**2/5
Let k = -11848 + 11850. Let b(s) be the second derivative of -1/3*s**3 + 0 + 1/3*s**4 + 1/10*s**5 - k*s**2 + 14*s. Factor b(i).
2*(i - 1)*(i + 1)*(i + 2)
Let l be 12 + (136/(-119))/((-90)/(-805)). Let -2/9*b**4 - l*b**2 + 10/9*b**3 + 8/9*b + 0 = 0. What is b?
0, 1, 2
Let s = 660185 + -660182. Suppose -2646/11*h - 126/11*h**2 - 18522/11 - 2/11*h**s = 0. Calculate h.
-21
Let s(u) be the third derivative of -u**5/48 - 5*u**4/6 + 15*u**3/2 - 3878*u**2. Factor s(q).
-5*(q - 2)*(q + 18)/4
Let a(r) be the second derivative of -5*r**4/12 + 655*r**3/3 - 85805*r**2/2 + 620*r. Determine i so that a(i) = 0.
131
Let s(g) = -2*g**3 + g**2 - g - 1. Let b(q) = -22*q**3 + 41*q**2 + 61*q - 8. Let t(a) = -5*b(a) - 10*s(a). Suppose t(z) = 0. Calculate z.
-1, 2/13, 5/2
Let i(h) = -h**2 - 7*h - 9. Let w be i(-5). Let x be 4/8*w/1. Let -x - 1/4*t**3 - 1/4*t**4 + 1/4*t + 3/4*t**2 = 0. Calculate t.
-2, -1, 1
Let a(n) = -3*n**2 - 5*n. Let j(y) = 21*y**2 + 33*y. Let x(l) = 27*a(l) + 4*j(l). Let u(h) = -6*h**2 + 5*h. Let i(s) = -3*u(s) - 5*x(s). Factor i(o).
3*o**2
Let g(n) be the second derivative of -7*n**6/15 - 17*n**5/120 + 85*n**4/72 + 17*n**3/36 - n**2/12 + 1175*n. Determine q so that g(q) = 0.
-1, -1/4, 1/21, 1
Let m(o) be the second derivative of -o**4/48 + 113*o**3/24 - 111*o**2/4 - 1115*o. Solve m(g) = 0 for g.
2, 111
Let 2/13*z**2 - 1312/13*z + 215168/13 = 0. Calculate z.
328
Factor 8*w + 145 - 223*w + 19*w - 5*w + 3*w**2 + 53.
3*(w - 66)*(w - 1)
Let y(a) = -a - 7. Let c be y(-11). Suppose -5*i = 3*b - 17 + 5, c*b - 16 = 4*i. Factor -100 + 43*k - 20*k - b*k**2 + 17*k.
-4*(k - 5)**2
Let c(r) = -16*r**3 + 1192*r**2 - 87606*r - 180000. Let q(l) = -50*l**3 + 3576*l**2 - 262819*l - 540000. Let s(y) = -19*c(y) + 6*q(y). Factor s(i).
4*(i - 150)**2*(i + 2)
Let l(j) be the second derivative of -29*j**5/20 - 59*j**4/3 - 248*j**3/3 - 32*j**2 + 543*j. Factor l(p).
-(p + 4)**2*(29*p + 4)
Let y = 14971 + -14948. Let m(k) be the second derivative of 243/2*k**2 + 1/4*k**4 - 9*k**3 + 0 + y*k. Suppose m(s) = 0. Calculate s.
9
Let -8/5*g + 0 - 8/5*g**2 - 2/5*g**3 = 0. What is g?
-2, 0
Let g(y) be the second derivative of y**8/84 - y**7/24 - y**6/36 + 3*y**3 - 71*y. Let n(w) be the second derivative of g(w). Suppose n(p) = 0. Calculate p.
-1/4, 0, 2
Let f(i) = -9*i**2 - 193*i + 436. Let p(r) = -3*r**2 - 65*r + 146. Let v(o) = 2*f(o) - 7*p(o). Find s, given that v(s) = 0.
-25, 2
Let b(r) be the first derivative of r**4/2 - 76*r**3/3 + 473*r**2 - 3872*r - 5155. Factor b(h).
2*(h - 16)*(h - 11)**2
Let p(z) be the second derivative of 0 + 1/12*z**4 + 0*z**2 + 7/6*z**3 - 63*z. Factor p(v).
v*(v + 7)
Let q(t) be the third derivative of -t**8/1344 + t**7/60 - 19*t**6/160 + 17*t**5/60 + 11*t**4/24 - 4*t**3 + t**2 + 5119. What is y in q(y) = 0?
-1, 2, 3, 8
Suppose 2*j + 16 = -7*d, -12*j + 9*j - 24 = 3*d. Let z(k) be the first derivative of 41 + 0*k**2 + 49*k**4 + d*k + 2/3*k**6 + 0*k**3 + 56/5*k**5. Factor z(f).
4*f**3*(f + 7)**2
Let y be (1044/10179)/((-6)/(-273)). Let v(q) be the second derivative of y*q**3 + 0 + 31*q - 1/5*q**5 - 8*q**2 - 2/3*q**4. What is x in v(x) = 0?
-4, 1
Let 648/5 + 38/5*n**2 + 408/5*n - 2/5*n**3 = 0. What is n?
-6, -2, 27
Determine z, given that 1/8*z**4 + 153/8*z**2 + 0 + 11/4*z**3 + 81/2*z = 0.
-9, -4, 0
Let n be 0*((-19)/(-2) - 10). Suppose -4 = -