. Let -136*h**3 + 135*h**3 + 119 - 243*h - m*h**2 - 848 = 0. Calculate h.
-9
Solve -31/2 + 9*r + 13/2*r**2 = 0.
-31/13, 1
Let d(c) = -c**2 + 6*c - 2. Let b be d(5). Let z(y) = y**3 - 16*y**2 + 62*y + 7. Let q be z(7). Factor 0*m - 27/7*m**5 + 6/7*m**b + q - 3*m**4 + 0*m**2.
-3*m**3*(m + 1)*(9*m - 2)/7
Factor 11/3*x + 2/3*x**2 + 3.
(x + 1)*(2*x + 9)/3
Suppose -4*w + 58 = -3*d, 64*d - 50 = -2*w + 67*d. Factor 14/3*x**3 - 2*x**2 + 0*x + 2/3*x**5 - 10/3*x**w + 0.
2*x**2*(x - 3)*(x - 1)**2/3
Let c(x) be the third derivative of 4*x - 3/4*x**5 + 0 - 1/12*x**6 - 6*x**2 + 1/42*x**7 + 20/3*x**3 + 5/12*x**4. Find n, given that c(n) = 0.
-2, -1, 1, 4
Let d = -4807/9 + 1603/3. Let h(s) be the second derivative of 2/3*s**2 - 10*s + d*s**4 + 0 - 2/3*s**3. Factor h(t).
4*(t - 1)*(2*t - 1)/3
Let c(h) be the third derivative of h**6/660 + 3*h**5/110 - 36*h**3/11 + 169*h**2. Factor c(f).
2*(f - 3)*(f + 6)**2/11
Let m(u) = -97*u + 168. Let i be m(4). Let x = -220 - i. Factor 2/3*o**2 + x + 1/9*o.
o*(6*o + 1)/9
Let b(w) be the first derivative of w**6/21 + 4*w**5/7 + 37*w**4/14 + 128*w**3/21 + 52*w**2/7 + 32*w/7 + 2083. Let b(p) = 0. Calculate p.
-4, -2, -1
Let w be ((-10)/4)/(570/(-456)). Let -3*f**2 + w*f**2 - 8*f + 25*f - 4*f**2 + 23*f - 35 = 0. Calculate f.
1, 7
Let l(u) be the first derivative of -3*u**6/14 + 11*u**5/35 + 13*u**4/7 - 16*u**3/7 - 32*u**2/7 + 16*u/7 + 132. Let l(d) = 0. Calculate d.
-2, -1, 2/9, 2
Find l such that 1/12*l**5 + 67/3*l**2 + 67/6*l**3 + 17/3 + 75/4*l + 2*l**4 = 0.
-17, -4, -1
Suppose 59*y - 58*y = 250. Factor -55*w**3 + 475*w**2 - 495*w**5 + 530*w**5 - 298*w**3 + 25*w**4 + 40 - y*w + 28*w**3.
5*(w - 1)**3*(w + 4)*(7*w - 2)
Let p(i) = i**3 - 30*i**2 - 60*i - 125. Let r be p(32). What is y in -4*y**4 + 8/3*y**r - 8/3*y + 4*y**2 + 0 = 0?
-1, 0, 2/3, 1
Factor 0 - 4*m**4 + 0*m - 16/3*m**2 - 8*m**3 - 2/3*m**5.
-2*m**2*(m + 2)**3/3
Let c = -1192185 + 1192189. Suppose -1/5*a**3 + c + 12/5*a - 9/5*a**2 = 0. What is a?
-10, -1, 2
Let o(t) = 20*t**3 - 8*t**2 + 3*t + 6. Let j be 8/36 + 20/(-9). Let c(n) = -20*n**3 + 7*n**2 - 2*n - 4. Let r(v) = j*o(v) - 3*c(v). Factor r(l).
5*l**2*(4*l - 1)
Let i(j) = 15*j**3 - 5*j**2 + 14*j + 158. Let z(f) = -7*f**3 + 3*f**2 - 8*f - 72. Let l(q) = -6*i(q) - 13*z(q). Factor l(d).
(d - 6)*(d - 2)*(d - 1)
Let p(o) = -o**3 - 7*o**2 + 2*o + 59. Let q be p(-5). Let v be ((-11)/(-11))/(q - -2) - -2. Factor 24/7 + 51/7*u + 30/7*u**2 + 3/7*u**v.
3*(u + 1)**2*(u + 8)/7
Find p, given that -230/9*p - 14/9*p**3 + 4 - 152/9*p**2 = 0.
-9, -2, 1/7
Let p be (5/(-5))/(3/(-18)*3). Solve -148 + 72*w + 56 - 31 - 68 - 133 - 4*w**p = 0.
9
Suppose -i + 8 = -v, -i - v = -13 + 3. Factor 111*m + i*m**2 - 15*m**2 - 113*m + 8*m**3.
2*m*(m - 1)*(4*m + 1)
Let a = -120137/3 - -40074. Find w such that -5/3*w**4 - 5/3*w**5 + 280/3*w + a*w**3 + 265/3*w**2 + 100/3 = 0.
-2, -1, 5
Let d(p) be the first derivative of -2*p**5/15 + 2*p**3/3 - 2*p**2/3 + 417. Factor d(l).
-2*l*(l - 1)**2*(l + 2)/3
Let b(h) be the third derivative of 7/60*h**6 + 0*h + 24*h**2 + 0 + 3/2*h**3 - 1/30*h**5 + 1/336*h**8 - 1/30*h**7 - 5/8*h**4. Factor b(t).
(t - 3)**2*(t - 1)**2*(t + 1)
Let s(b) = -2*b**3 - 11*b**2 - 13*b - 123. Let u be s(-11). Let c = u - 1351. Let -8/5*a + 2*a**4 - 4/5*a**5 + c + 6/5*a**3 - 16/5*a**2 = 0. What is a?
-1, -1/2, 0, 2
Let a(c) be the third derivative of c**5/60 - 35*c**4/12 + 301*c**3/3 + c**2 + 12*c. Let b be a(60). Factor -4/5*t**3 - 2/5*t**4 + 0*t**b + 0*t + 0.
-2*t**3*(t + 2)/5
Suppose -4*w = w + 135. Let s = -25 - w. Factor 0*j + 3*j**2 + j**s + 5*j + 11*j - 20.
4*(j - 1)*(j + 5)
Let d(v) be the second derivative of v**9/1008 + v**8/280 - v**6/60 - v**5/40 - 13*v**3/3 + 3*v - 26. Let y(u) be the second derivative of d(u). Solve y(n) = 0.
-1, 0, 1
Let f be (-18)/99 + 1584/726. Let -3/5*h**f - 243/5 - 54/5*h = 0. What is h?
-9
Factor 162/7*z - 423/7*z**2 + 0 + 264/7*z**3 + 16/7*z**4.
z*(z + 18)*(4*z - 3)**2/7
Factor -3*x**4 - 9365*x**3 + 9372*x**3 - 5*x**4 + x**5.
x**3*(x - 7)*(x - 1)
Let j be (-8)/30 - 36828/(-4455). Let o be (-12*(-20)/(-525))/(4/(-30)). Factor -j*n**3 - 36/7*n - 64/7*n**2 - o*n**4 - 4/7*n**5 - 8/7.
-4*(n + 1)**4*(n + 2)/7
Find f, given that 97/2*f + 150 - 1/2*f**2 = 0.
-3, 100
Let m(g) be the first derivative of g**5/5 - 41*g**4/4 + 182*g**3 - 1078*g**2 - 2744*g + 8592. Factor m(j).
(j - 14)**3*(j + 1)
Let o(w) be the third derivative of -w**5/30 - 73*w**4/6 + w**2 - 531*w. Factor o(t).
-2*t*(t + 146)
Let d be -20*(-5 - 17205/(-3475)) - 1. Let f = 577/973 + d. Factor -f - 2*h - 6/7*h**2.
-2*(h + 2)*(3*h + 1)/7
Let i(h) be the second derivative of 2*h**2 + 8/3*h**4 + 2/5*h**6 - 46*h - 3*h**3 - 7/5*h**5 - 1/21*h**7 + 1. Factor i(g).
-2*(g - 2)*(g - 1)**4
Let w(g) be the third derivative of g**7/735 + g**6/70 - g**5/70 - 4*g**4/21 + 4*g**3/7 + 2*g**2 - 5*g - 143. Find u, given that w(u) = 0.
-6, -2, 1
Let k be 93/217*(-616)/72*-3 + -2 + -7. Let -200/13 + 40/13*p - 2/13*p**k = 0. Calculate p.
10
Suppose 64*p - 240 - 144 = 0. Let l be (p/8)/((-20)/((-2720)/153)). Factor 4 + l*h - 8/9*h**2 - 2/9*h**3.
-2*(h - 2)*(h + 3)**2/9
Factor 0 + 16*l + 28*l**2 - 46/9*l**3.
-2*l*(l - 6)*(23*l + 12)/9
Let l be (84/10)/14 + (-4 - (-74)/10). Let u(w) be the second derivative of 43*w + 7/15*w**3 - 1/30*w**l + 0 + 8/5*w**2. Determine y, given that u(y) = 0.
-1, 8
Suppose 610 = 77*m + 71. Suppose -30*f + 97 = m. Let -14/9*a**4 - 4/9*a - 2/3*a**2 + 8/3*a**f + 0 = 0. Calculate a.
-2/7, 0, 1
Let n(q) be the third derivative of q**6/60 + 5*q**5/6 - 193*q**4/6 + 120*q**3 + 7*q**2 + 15*q - 3. What is j in n(j) = 0?
-36, 1, 10
Let c(x) be the third derivative of x**5/60 - 13*x**4/6 - 58*x**3 + 192*x**2. Let y be c(-6). Find l, given that y - 10/3*l + l**3 + 13/3*l**2 = 0.
-5, 0, 2/3
Suppose 265 - 113 = 8*f. Find n, given that -28*n**2 + 72*n**2 - 26*n**2 - 676 - 18*n - f*n**2 + 70*n = 0.
26
Factor -1302/17*u - 2/17*u**3 - 94/17*u**2 - 4410/17.
-2*(u + 5)*(u + 21)**2/17
Let b(k) = -k**3 + 10*k**2 + 11*k + 2. Let h be b(11). Let 2*t**4 + 91*t**2 + 8*t**3 + 89*t**h - 172*t**2 = 0. What is t?
-2, 0
Suppose 20*f = 11*f + 18. Suppose -9*b + 18 = -9. Let -2/9*z**4 + 0 - 2/9*z + 2/9*z**b + 2/9*z**f = 0. What is z?
-1, 0, 1
Let t = 49 - 45. Suppose -5*k = -i + 7, -i - t = k - 5. Factor -3*m + 2*m + m**i + 3*m + 5*m.
m*(m + 7)
Factor -4775*q + 10*q**2 + 52 + 5247*q + 26*q**2.
4*(q + 13)*(9*q + 1)
Suppose -2937/8*y + 1/8*y**3 - 485/8*y**2 - 4419/8 = 0. What is y?
-3, 491
Let f(o) be the second derivative of -o**4/6 - 308*o**3/3 + 620*o**2 + 102*o + 3. Factor f(w).
-2*(w - 2)*(w + 310)
Suppose 3*o - 2842 = -46*o. Factor 96*h + 58*h + 63*h + 56*h - o*h - 5*h**3 + 260 - 50*h**2.
-5*(h - 4)*(h + 1)*(h + 13)
Suppose 0 = 80*h - 85*h + 20. What is r in 93*r**2 + 18 - 2*r**3 - h*r - 2*r - 103*r**2 + 0*r = 0?
-3, 1
Let k(j) be the third derivative of -j**6/140 - 9*j**5/28 - 31*j**4/8 + 60*j**3/7 - 96*j**2 + 8. Solve k(f) = 0.
-15, -8, 1/2
Let g(c) be the second derivative of c**6/15 - 44*c**5/5 - 194*c**4 - 1200*c**3 + 13*c + 131. What is b in g(b) = 0?
-6, 0, 100
Let m be 16 + (-8 - 7)/3. Let u**4 + 17*u**2 - 2*u**3 + 4*u**2 + 16*u - u**2 + m*u**3 - 4*u = 0. What is u?
-6, -2, -1, 0
Let p be 5277/(29/(-4) + (-7)/28). Let z = 704 + p. Solve -2*b**2 + 0 - z*b**3 - 8/5*b = 0.
-4, -1, 0
Let k = 224635/8 + -28079. Let t(c) be the second derivative of -k*c**2 + 0 - 1/48*c**4 + 24*c - 1/80*c**5 + 5/24*c**3. Factor t(z).
-(z - 1)**2*(z + 3)/4
Let x = -178884/5 + 35661. Let v = -115 - x. Factor 3/5*m**2 + 1/5*m**4 + 4/5*m**3 - v*m - 4/5.
(m - 1)*(m + 1)*(m + 2)**2/5
Factor 0*o**3 + 3/4*o**5 + 0 + 0*o + 9*o**4 - 192*o**2.
3*o**2*(o - 4)*(o + 8)**2/4
Let t = -321 - -324. Let 19*a + 9*a**t - 8*a**2 - 10*a - 8*a**2 - 4*a + 2 = 0. Calculate a.
-2/9, 1
Suppose -4*t = -0*t + 328. Let v = -69 - t. Factor 12 - 2 - 45*p - 215*p**3 + v*p**4 - 195*p**2 - 88*p**4.
-5*(p + 1)**3*(15*p - 2)
Factor 2/15*b**2 - 22/5*b + 124/15.
2*(b - 31)*(b - 2)/15
Let p(r) = -17*r**3 + 67*r**2 - r - 79. Let k(i) = 185*i**3 - 740*i**2 + 10*i + 870. Let v(x) = 6*k(x) + 65*p(x). Factor v(b).
5*(b - 17)*(b - 1)*(b + 1)
Suppose 57*h = -69 + 183. Let w(b) be the third derivative of 1/240*b**5 + 0 - 1/4*b**3 + b**h + 0*b - 1/96*b**4. Factor w(f).
(f - 3)*(f + 2)/4
Factor 413*r + 1357*r - 848 + 484 - 7*r**3 - 