/8*f**3.
-f**2*(f + 1)/8
Suppose -71*p - 16 = -75*p + 5*q, -5*p + 7*q = -20. Factor 3/5*s**2 - 3/5*s**p + 0*s**3 + 0 + 0*s.
-3*s**2*(s - 1)*(s + 1)/5
Let -2*h**5 + 552*h**4 - 63081*h**3 + 345596*h**2 + 116162 - 172036*h - 1510*h**4 - 85632*h**3 - 175486*h + 35437*h**3 = 0. Calculate h.
-241, 1
Suppose 25 = 14*w - 17. Determine v, given that -5 + 2*v**w - 2 - 9 - 4*v**4 + 12*v**2 + 16*v - 10*v**3 = 0.
-2, 1
Find b, given that -2/13*b**2 - 34/13 + 36/13*b = 0.
1, 17
Let q = 7127/17087 - -28/2441. Factor -q*o**2 - 24/7*o - 48/7.
-3*(o + 4)**2/7
Let m(x) be the third derivative of x**8/168 + 11*x**7/105 + 2*x**6/5 - 6*x**5/5 - 1434*x**2. Factor m(v).
2*v**2*(v - 1)*(v + 6)**2
Let r(x) be the first derivative of -49*x**4/36 + 176*x**3/27 + 40*x**2/9 - 5667. Factor r(g).
-g*(g - 4)*(49*g + 20)/9
Let j(p) be the third derivative of p**7/1155 + p**6/165 - 2*p**5/11 - 24*p**4/11 + 2*p**2 - p + 73. Find d, given that j(d) = 0.
-6, 0, 8
Let o(j) = 6*j**2 - 175*j - 2010. Let f be o(38). Determine c so that -16/3*c**2 + 0*c - 2/3*c**5 - 4*c**f - 8*c**3 + 0 = 0.
-2, 0
Let n(i) be the second derivative of 56/9*i**3 + 8*i**2 + 0 + 23/9*i**4 + 29*i + 2/45*i**6 + 8/15*i**5. Factor n(l).
4*(l + 1)*(l + 2)**2*(l + 3)/3
Let w(o) be the third derivative of -o**7/1575 - o**6/25 - 56*o**5/75 + 196*o**4/45 + 5488*o**3/15 - 957*o**2. Suppose w(t) = 0. What is t?
-14, 6
Let h(g) be the second derivative of 1/60*g**4 + 1/5*g**2 + 0 + 1/10*g**3 + 3*g. Solve h(w) = 0.
-2, -1
Let z(m) = -5*m + 19. Let d be z(0). Let l(k) = k**3 - 20*k**2 + 19*k + 22. Let o be l(d). Factor -27*h**2 - 18*h**3 - o*h**2 + 5*h**2 + 12*h**2 + 4 - 10*h.
-2*(h + 1)**2*(9*h - 2)
Let k(n) be the third derivative of 0*n + 5/48*n**4 + 0*n**3 - 144*n**2 - 1/720*n**6 + 0 + 7/180*n**5. Solve k(b) = 0.
-1, 0, 15
Let l(d) = 10*d**2 - 50*d + 75. Let p(g) be the second derivative of -g**4/12 + g**2/2 - g - 71. Let k(q) = l(q) + 5*p(q). Factor k(b).
5*(b - 8)*(b - 2)
Let h(p) = 4*p**2 - 3736*p + 872293. Let i(o) = -4*o**2 + 3736*o - 872314. Let f(u) = -2*h(u) - 3*i(u). What is b in f(b) = 0?
467
Let v(l) be the first derivative of -l**5/270 + l**4/12 - 20*l**3/27 - 103*l**2/2 - 5. Let k(t) be the second derivative of v(t). Factor k(w).
-2*(w - 5)*(w - 4)/9
Suppose -69 = 164*w - 69. Let a(h) be the second derivative of -3/7*h**4 + w + 0*h**2 + 19*h - 2/15*h**6 + 3/7*h**5 + 0*h**3 + 2/147*h**7. Factor a(i).
4*i**2*(i - 3)**2*(i - 1)/7
Let z(i) be the first derivative of 2*i**6/27 - 14*i**5/45 - 8*i**4/3 - 28*i**3/27 + 46*i**2/9 + 14*i/3 + 2824. Find q such that z(q) = 0.
-3, -1, -1/2, 1, 7
Determine w, given that -13778*w + 331/2*w**3 - 13612*w**2 + 0 - 1/2*w**4 = 0.
-1, 0, 166
Factor -44*t**2 + 300 - 15*t**3 + 10*t**3 - 32*t + 9*t**2 + 12*t - 20*t**2.
-5*(t - 2)*(t + 3)*(t + 10)
Let m be (21/14 + -1)*20. Let x be 78/(-21) + m + -6. Determine f so that 8/7*f**4 + 0 + x*f**5 + 2/7*f + 12/7*f**3 + 8/7*f**2 = 0.
-1, 0
Let f(m) = 11*m**3 - 255*m**2 + 1041*m - 1135. Let l(s) = -s**3 + 3*s**2 - 3*s - 3. Let b(r) = 2*f(r) + 6*l(r). Find z, given that b(z) = 0.
2, 11/4, 26
Let z(g) be the third derivative of -g**7/1680 + g**6/80 - g**4/24 + g**3/3 - 6*g**2 - 4. Let d(q) be the second derivative of z(q). Factor d(y).
-3*y*(y - 6)/2
Let n = -10058/7 - -110652/77. Factor -28/11*k + 26/11 + n*k**2.
2*(k - 13)*(k - 1)/11
Suppose -7*z - 16*z = -69. Determine l so that -16*l**3 + 8*l**5 - 5*l**5 + 15*l**3 - 4*l**2 - 2*l**z - 3*l**4 + 7*l**2 = 0.
-1, 0, 1
Let j be 276/230*(1 + 4). Let t be (1 + j/(-9))*(-72)/(-132). Let 2/11*l**2 + 6/11 - t*l**3 + 10/11*l = 0. Calculate l.
-1, 3
Factor 616*t - 181*t**3 + 0*t**4 - 4*t**4 + 360*t**3 - 1236*t**2 + 114*t**3 + 331*t**3.
-4*t*(t - 154)*(t - 1)**2
Factor -1/7*y**2 - 726/7*y - 131769/7.
-(y + 363)**2/7
Let z(h) be the second derivative of -74*h - 21/2*h**2 + 1/20*h**4 + 1/5*h**3 + 0. Factor z(s).
3*(s - 5)*(s + 7)/5
Let h be 1 + 5*3/15. Suppose -h*c = 5*c - 49. Factor -5 + 177*w**2 + c*w - 152*w**2 + 13*w.
5*(w + 1)*(5*w - 1)
Let c(n) be the third derivative of n**5/150 + n**4/4 + 12*n**3/5 - 403*n**2 + n. What is v in c(v) = 0?
-12, -3
Let c = 120 + -95. Let v(g) be the first derivative of g**2 + c + 1/3*g**3 + 0*g. Suppose v(x) = 0. Calculate x.
-2, 0
Let o = 16762/1115 + 3070/223. Find v, given that -o*v**2 - 3/5 - 9*v + 192/5*v**3 = 0.
-1/8, 1
Let a(z) be the first derivative of 10*z**6/23 - 166*z**5/115 - z**4/2 + 84*z**3/23 + 28*z**2/23 - 16*z/23 - 867. Let a(m) = 0. What is m?
-1, -2/5, 1/6, 2
Let c(f) be the third derivative of -7/72*f**4 + 1/630*f**7 + f + 1/9*f**3 + 28*f**2 + 0 + 1/20*f**5 - 1/72*f**6. Factor c(r).
(r - 2)*(r - 1)**3/3
Let t(l) = 22*l**4 - 143*l**3 + 76*l**2 + 31*l - 35. Let f(z) = -12*z**4 + 71*z**3 - 38*z**2 - 15*z + 15. Let q(x) = 14*f(x) + 6*t(x). Solve q(n) = 0.
-2/9, 0, 1, 3
Suppose 116*s = -43*s + 5247. Factor s*c + 1/3*c**3 + 121/3 - 7*c**2.
(c - 11)**2*(c + 1)/3
Let l = 155 - 151. Factor 308*m**l - 163*m**4 - 6*m**3 - 160*m**4 + 6*m + 15*m**2.
-3*m*(m - 1)*(m + 1)*(5*m + 2)
Let w = 38676 + -77347/2. Let m(v) be the first derivative of 5/4*v**4 + 0*v + 25/3*v**3 - 22 - 5*v**5 - w*v**2. Determine c so that m(c) = 0.
-1, 0, 1/5, 1
Let j(s) be the first derivative of s**3/12 + 11*s**2/2 - 45*s/4 - 1529. Factor j(t).
(t - 1)*(t + 45)/4
Let v = -104 - -106. Factor 58*n + n**v - 30*n - 13*n.
n*(n + 15)
Suppose 2*r - 6*r - 3*z + 183 = 0, -5*z + 95 = 2*r. Let g = r + -40. Factor 20*c**3 - 31*c**3 + 19*c**3 - g*c**2 - 3*c.
c*(c - 1)*(8*c + 3)
Determine l, given that 218700 + 1623*l**2 + 38*l**3 + 30780*l + 1/3*l**4 = 0.
-30, -27
Let n(r) be the second derivative of -227*r**5/10 + 457*r**4/6 - 233*r**3/3 + 3*r**2 + 3*r + 2536. Determine m so that n(m) = 0.
3/227, 1
Let l(y) be the second derivative of -2*y**7/21 - 38*y**6/15 + 72*y**5/5 + 104*y**4/3 - 1184*y**3/3 + 1056*y**2 - 209*y - 2. Let l(j) = 0. Calculate j.
-22, -3, 2
Suppose g - 4*o - 1 - 3 = 0, 0 = g - 5*o - 4. Suppose 0 = 2*l - g*l - 6*l. Suppose l + 1/4*t**2 - 1/2*t = 0. What is t?
0, 2
Let d(z) be the second derivative of z**4/66 - 488*z**3/33 + 59536*z**2/11 - 125*z. Factor d(v).
2*(v - 244)**2/11
Let g be 1 + (-45)/(-9) + 1889/(-315). Let q = g - -941/1260. Find b such that 15/4*b**2 + 3*b + q*b**3 + 0 = 0.
-4, -1, 0
Let i(a) be the second derivative of a**4/32 - 57*a**3/16 + 243*a**2/8 + 347*a. Let i(f) = 0. What is f?
3, 54
Suppose -5 = -3*o + v, 2 = -2*v + 4. Factor 11*f**2 + 18*f**2 + 4*f**2 + 10 - 45*f - 13*f**o.
5*(f - 2)*(4*f - 1)
Let j(s) be the first derivative of 7*s**4/60 + s**3/6 - s**2/5 - s + 45. Let f(z) be the first derivative of j(z). Factor f(d).
(d + 1)*(7*d - 2)/5
Let p be (912/(-1140))/(4/(-10)) + 3. Let l(j) be the third derivative of -15*j**2 + 1 + 5/4*j**3 + 1/80*j**p + 0*j + 11/32*j**4. Factor l(a).
3*(a + 1)*(a + 10)/4
Let f = 422 + -418. Let d(q) be the first derivative of -1/9*q**3 - 7/6*q**2 + 1/15*q**5 + 34 + 7/12*q**f + 0*q. Suppose d(i) = 0. What is i?
-7, -1, 0, 1
Let v(l) be the third derivative of -l**7/280 - 349*l**6/480 - 897*l**5/16 - 56277*l**4/32 + 19773*l**3/4 - 3*l**2 - 77. Factor v(h).
-(h + 39)**3*(3*h - 2)/4
Suppose -11 = z + 26. Let q = -34 - z. Let 19*k + k + 35 - 16*k**2 - 8*k**q + 2*k**4 - 4*k + k**5 - 3 = 0. Calculate k.
-2, 2
Let g(t) be the second derivative of -t**9/18900 - t**8/8400 - 15*t**4/4 + 2*t + 55. Let x(c) be the third derivative of g(c). Let x(k) = 0. Calculate k.
-1, 0
Determine w so that 22049 + 3*w**3 - 22049 + 231*w**2 + 369*w + 141*w**2 = 0.
-123, -1, 0
Factor 0 + 132*a + 3/4*a**3 + 45/2*a**2.
3*a*(a + 8)*(a + 22)/4
Let n(t) = 3*t**2 - 8*t. Let d be n(3). Factor 73*a**2 + 4*a + 2 - 2*a**3 - 6*a**4 - 69*a**2 - 2*a**d - 2*a**5 + 2*a.
-2*(a - 1)*(a + 1)**4
Let s(n) = -5*n**2 + 19*n - 292. Let f be s(13). Let m be (-89)/f - (-78)/20. Find z, given that -54*z**2 - 6561/2*z**m - 4/3*z + 0 - 729*z**3 = 0.
-2/27, 0
Factor -15/4*r + 15/4*r**3 - 17/4*r**2 + 4 + 1/4*r**4.
(r - 1)**2*(r + 1)*(r + 16)/4
Let v(z) be the second derivative of z**6/30 - 2*z**5/5 - 3*z**4/4 + 64*z**3/3 - 56*z**2 - 3187*z. Solve v(h) = 0 for h.
-4, 1, 4, 7
Solve -175*x**2 - 248 + 83 + 123*x + 82*x + 5*x**3 + 130*x = 0.
1, 33
Suppose -26*o - 95*o - 148*o + 538 = 0. Factor 0 - 2/5*a**o + 0*a - 6/5*a**3.
-2*a**2*(3*a + 1)/5
Let q = -454 + 2039. Let g = q - 1582. 