-63/8 + 1/8*a**2 - 1/4*a.
(a - 9)*(a + 7)/8
Let h(c) be the first derivative of c**5/30 - 31*c**4/12 + c**2/2 - 6*c + 201. Let d(w) be the second derivative of h(w). Suppose d(g) = 0. What is g?
0, 31
Let 50*o + 1/3*o**2 - 304/3 = 0. What is o?
-152, 2
Let d(c) be the third derivative of c**7/210 + 76*c**6/15 + 6161*c**5/4 - 76*c**4/3 - 46208*c**3/3 + 818*c**2. What is h in d(h) = 0?
-304, -1, 1
Factor 2/17*x**2 - 120/17*x - 378/17.
2*(x - 63)*(x + 3)/17
Let v(l) = 52*l**3 + 858*l**2 - 12750*l + 45074. Let i(a) = -60*a**3 - 857*a**2 + 12761*a - 45073. Let m(z) = 6*i(z) + 7*v(z). Let m(n) = 0. Calculate n.
-230, 7
Let a = 327 + -316. Factor 20*o + 2*o**2 + 1 - 10*o + a.
2*(o + 2)*(o + 3)
Let k be (0 + -2 + 2)/2. Suppose k = 12*m - 13*m + 4. Factor 21*t**m - 4*t - 6*t**3 - 15*t**4 + 2*t**5 - 8*t**4 + 10*t**2.
2*t*(t - 1)**3*(t + 2)
Let z(i) be the second derivative of i**6/80 - 15*i**5/32 - 11*i**4 + 2299*i**3/4 - 3661*i. Factor z(y).
3*y*(y - 22)**2*(y + 19)/8
Let s be 3/3*(2 + -1). Let l be 1 + (0 - s) - -4. Suppose -3*a**2 - 16*a**3 - 2*a**4 - 2*a**2 + a**2 - 10*a**l = 0. Calculate a.
-1, -1/3, 0
Suppose -2*b + 3*b = -3*j + 6, -4*j = 4*b. Suppose 0 = h - 3*r + j, 4*r - 12 = -3*h + 5. Factor 0*q + 3*q**2 - q - 6 - h*q + q.
3*(q - 2)*(q + 1)
Let f be 4 - (-11)/22*62. Let a be ((-54)/(-21))/(20/f). Factor a*m + 27/4 + 3/4*m**2.
3*(m + 3)**2/4
Suppose 10 = 18*i - 26. Find x such that 0*x**2 + x**i - 7 + 14 - 6 - 10 = 0.
-3, 3
Determine z so that 9*z + 54/5 - 12/5*z**2 - 3/5*z**3 = 0.
-6, -1, 3
Factor -2172*n + 3*n**2 + 20 - 446 + 2595*n.
3*(n - 1)*(n + 142)
Let x(i) = -19*i + 705. Let k be x(37). Let m(z) be the second derivative of 1/20*z**5 + 1/30*z**6 - 18*z - 1/6*z**3 + 0 + 0*z**k - 1/12*z**4. Factor m(s).
s*(s - 1)*(s + 1)**2
Let m(p) be the first derivative of p**7/350 - 3*p**6/100 + p**5/20 + 2*p**2 - 2*p - 47. Let h(u) be the second derivative of m(u). Factor h(r).
3*r**2*(r - 5)*(r - 1)/5
Factor 109674240000 - 3120*r**3 + 3/2*r**4 - 843648000*r + 2433600*r**2.
3*(r - 520)**4/2
Let y(m) be the first derivative of m**4/4 + 5*m**3 + 9*m**2 - 104*m - 1209. Factor y(v).
(v - 2)*(v + 4)*(v + 13)
Factor 3/8*w**3 + 3042 + 1131*w + 321/8*w**2.
3*(w + 3)*(w + 52)**2/8
Let d(a) be the first derivative of -28*a**5/65 + 79*a**4/26 - 20*a**3/13 - 83*a**2/13 + 80*a/13 + 2934. What is x in d(x) = 0?
-1, 1/2, 8/7, 5
Let l(m) be the second derivative of 1/6*m**4 - 18*m + 1/15*m**5 + 0*m**2 + 1/9*m**3 + 0. Let l(j) = 0. What is j?
-1, -1/2, 0
Let r be (-4)/(84/40 - (-2)/(-20)). Let a(t) = -t**3 + t**2. Let y(b) = 14*b**2 - 13*b - 33. Let w(z) = r*y(z) - 6*a(z). Determine f so that w(f) = 0.
-1, 3, 11/3
Solve -450*f - 30*f**2 - 2/3*f**3 - 2250 = 0.
-15
Determine g so that 4*g**5 - 1980*g**4 - 5591934360*g**2 + 3358260*g**3 - 8400*g**4 + 800264*g**3 - 150624903114396 + 6615916*g**3 + 1451106966420*g = 0.
519
Let r(l) be the third derivative of 0 + 3/4*l**3 + 1/120*l**5 + 0*l + 54*l**2 + 5/24*l**4. Factor r(c).
(c + 1)*(c + 9)/2
Let c(d) = -d**2 - 3*d**2 + 2*d**2 - 2. Let o(x) be the third derivative of x**5/15 - x**4/24 + 2*x**3/3 + 4799*x**2. Let t(n) = -7*c(n) - 4*o(n). Factor t(k).
-2*(k - 1)**2
Let h(m) be the first derivative of 13*m**7/210 - m**6/45 + 320*m**3/3 + 261. Let q(v) be the third derivative of h(v). Factor q(c).
4*c**2*(13*c - 2)
Let i(o) = -2*o**2 - 83*o + 118. Let g(y) = -y**2 + 12*y. Let q(b) = -3*g(b) + i(b). Determine c, given that q(c) = 0.
1, 118
Let k(c) be the third derivative of c**6/600 - c**5/60 - 83*c**4/60 - 16*c**3/3 + 2*c**2 + 380*c. Factor k(y).
(y - 16)*(y + 1)*(y + 10)/5
Let q(j) be the first derivative of j**6/27 - 16*j**5/9 + 265*j**4/18 + 5260*j**3/27 + 5980*j**2/9 + 8464*j/9 - 832. Factor q(p).
2*(p - 23)**2*(p + 2)**3/9
Factor -402/7*g**4 - 147132/7*g**2 + 0 + 401868/7*g + 3/7*g**5 + 15663/7*g**3.
3*g*(g - 61)**2*(g - 6)**2/7
Suppose 17 - 10 = -18*m + 43. Suppose 3/8*j**3 + 3/8*j - 3/4*j**m + 0 = 0. Calculate j.
0, 1
Suppose 3*r - 11 = -4*i, -2*r + 5*i + 8 = -7. Factor -3*k - k + r*k**3 - 4*k**3.
k*(k - 2)*(k + 2)
Suppose -6312/7*s - 6320/7 - 1572/7*s**2 + 2/7*s**3 = 0. What is s?
-2, 790
Let d(b) be the third derivative of b**5/15 + 134*b**4/3 + 35912*b**3/3 - 742*b**2. Factor d(h).
4*(h + 134)**2
Let y(o) be the third derivative of -o**7/1260 + o**6/36 - 3*o**5/20 + 13*o**4/36 + 7*o**3/2 - 3*o**2. Let i(d) be the first derivative of y(d). Factor i(z).
-2*(z - 13)*(z - 1)**2/3
Determine j so that -336/13 - 218/13*j + 116/13*j**2 - 2/13*j**3 = 0.
-1, 3, 56
Suppose -1959 - 542 = -948*j + 343. Solve 24/7*a - 4/7*a**j - 32/7 + 12/7*a**2 = 0.
-2, 1, 4
Find g, given that -535*g**2 + 45*g**3 + 1172*g - 90 - 267*g - 325*g**2 = 0.
1/9, 1, 18
Let z(y) = y**2 + 3*y - 7. Suppose 0 = 3*g - 34 + 49. Let b be z(g). Find k such that 0 + 0*k + 0*k**2 - 4/3*k**b + 2/3*k**4 = 0.
0, 2
Let i(k) be the third derivative of k**5/15 - 964*k**4/3 + 1858592*k**3/3 - 25*k**2 + 3*k. Let i(v) = 0. Calculate v.
964
Let h = 5495 + -27463/5. Factor 21*g**2 + 12/5*g - h.
3*(5*g + 2)*(7*g - 2)/5
Let v(c) = -c**2 - c - 1. Let i(g) = -2*g**2 + 52*g - 35. Let n(s) = -i(s) - 5*v(s). Factor n(b).
(b - 1)*(7*b - 40)
Factor 5/2*c**4 - 16*c - 8 + 1/2*c**5 - 8*c**2 + 2*c**3.
(c - 2)*(c + 1)*(c + 2)**3/2
Let w(j) = -199. Let g(n) = -2*n - 198. Let m(d) = 3*g(d) - 2*w(d). Let p be m(-33). What is c in c**p - 4/3*c + 1/3 = 0?
1/3, 1
Let g be (-17)/28 - (1/12)/((-41)/369). Let r(x) be the second derivative of -9/14*x**2 + g*x**3 + 0 + 1/28*x**4 - 15*x. Factor r(h).
3*(h - 1)*(h + 3)/7
Let y = 4003 - 3999. Let d(u) be the third derivative of 0 - 1/120*u**6 + 0*u - 7*u**2 - 1/12*u**y + 0*u**3 + 1/20*u**5. Factor d(w).
-w*(w - 2)*(w - 1)
What is d in -8083 - 292*d + 2135 - 4710 - 2*d**2 = 0?
-73
Let s(g) be the first derivative of -g**5/200 + 13*g**4/120 + 7*g**3/30 - 64*g - 59. Let o(f) be the first derivative of s(f). Solve o(i) = 0.
-1, 0, 14
Let k(y) be the third derivative of -y**6/36 + 3079*y**5/90 - 3076*y**4/45 + 164*y**3/3 + 2791*y**2. Factor k(o).
-2*(o - 615)*(5*o - 2)**2/15
Solve -332*j**2 - 3064*j - 2981 - 418*j**2 + 583*j - 5*j**3 - 459*j + 61 = 0 for j.
-146, -2
Let s be 15*((-57)/(-9) - 6). Let -81*g**2 - s*g**5 - 15*g**3 + g**4 + 14*g**4 + 86*g**2 = 0. What is g?
0, 1
Let w(z) be the second derivative of z**6/50 - 3*z**5/25 - 21*z**4/20 - 36*z + 3. Suppose w(f) = 0. What is f?
-3, 0, 7
Find v such that 127/5*v**3 + 1/10*v**2 + 0*v + 0 = 0.
-1/254, 0
Let l(a) = -3111*a - 40439. Let b be l(-13). What is q in 2/9*q**2 - 2/9*q**b + 2/9*q**5 + 4/3*q + 0 - 14/9*q**3 = 0?
-2, -1, 0, 1, 3
Let t(v) be the first derivative of 5*v**3/3 - 3205*v**2/2 + 3200*v - 891. Factor t(s).
5*(s - 640)*(s - 1)
Let x(j) be the third derivative of -j**8/672 - 103*j**7/420 - 65*j**6/6 + 338*j**5/15 + 1084*j**2 + j. Factor x(y).
-y**2*(y - 1)*(y + 52)**2/2
Factor 36 - 1/3*v**3 + 6*v**2 - 27*v.
-(v - 12)*(v - 3)**2/3
Let j(b) be the first derivative of 2*b**3/33 + 34*b**2/11 + 578*b/11 - 1080. Factor j(c).
2*(c + 17)**2/11
Let u(a) = -a**2 - 134*a + 30. Let q(y) = -y + 6. Let f(k) = 5*q(k) - u(k). Factor f(l).
l*(l + 129)
Let c(v) be the third derivative of v**5/120 - 299*v**4/48 - 25*v**3 - 7*v**2 + 2*v - 10. Factor c(l).
(l - 300)*(l + 1)/2
Let z(k) be the second derivative of k**5/40 + 85*k**4/3 + 4577*k. Factor z(i).
i**2*(i + 680)/2
Factor 51842/5*g + 2/5*g**3 + 644/5*g**2 + 0.
2*g*(g + 161)**2/5
Let y = 828 - 840. Let j be ((-1)/4)/(1/y). Find w, given that 32/5 + 98/5*w**4 - 336/5*w**j + 176/5*w**2 + 192/5*w = 0.
-2/7, 2
Let t(x) be the second derivative of x**4/15 + 26*x**3/3 - 2212*x**2/5 - 5292*x. Factor t(f).
4*(f - 14)*(f + 79)/5
Let -1024/11 - 14*r**3 + 1664/11*r - 13/11*r**4 + 848/11*r**2 + 2/11*r**5 = 0. What is r?
-8, -2, 1/2, 8
Let u(z) be the third derivative of -43 - 1/15*z**5 + 24*z**3 + 0*z + 35/6*z**4 + z**2. Factor u(l).
-4*(l - 36)*(l + 1)
Let s = 14893 + -14889. Let o(r) be the second derivative of 5/18*r**s + 0 - 5/9*r**3 - 1/3*r**2 + 16/63*r**7 - 8/9*r**6 + 5/6*r**5 - 6*r. Factor o(p).
2*(p - 1)**3*(4*p + 1)**2/3
Determine b, given that -2/9*b**3 - 26/9*b**2 + 0 - 8*b = 0.
-9, -4, 0
Let p(y) be the first derivative of -y**5 - 3055*y**4/2 - 1866605*y**3/3 + 5568. Find d such that p(d) = 0.
-611, 0
Suppose 0 = 4*x - 4*p + 60, 5*p + 30 = -x + p. Let 