 = 0.
-20, 0, 3
Let v be 62/(-372)*15*672/(-100). Factor -4/5*p**2 + 184/5 + v*p.
-4*(p - 23)*(p + 2)/5
Let a(q) be the second derivative of q**4/3 + 20*q**3/3 - 48*q**2 + 919*q. Suppose a(n) = 0. Calculate n.
-12, 2
Suppose -5*z = p - 22, 0*z + 4*z - 20 = -2*p. Let i be -3 - p/((-14)/25). Factor 0 + 2/7*n**2 + i*n - 4/7*n**3 - 2/7*n**4.
-2*n*(n - 1)*(n + 1)*(n + 2)/7
Let t(s) be the second derivative of s**4/66 + 21*s**3/11 - 64*s**2/11 + 2210*s. Solve t(r) = 0.
-64, 1
Let n = -95 + 97. Factor 13 - 47*t + 34*t + 23*t + 8 + t**n.
(t + 3)*(t + 7)
Let k(g) be the first derivative of g**3/3 + 35*g**2/2 - 34*g + 778. Let d be k(-36). Factor 1/4*j**3 + 1 + 9/4*j + 3/2*j**d.
(j + 1)**2*(j + 4)/4
Let i(c) be the third derivative of 1/18*c**4 + 0 - 1/45*c**5 + 0*c**3 + 3*c + 3*c**2. What is u in i(u) = 0?
0, 1
Find g, given that 97329*g**2 - 124*g**4 - 63*g**4 - 383*g**4 + 18489*g**2 + g**5 + 25884*g**3 - 141135*g + 2*g**5 = 0.
-5, 0, 1, 97
Let x be 10/15 - 49/(-21). Suppose i + 3*u = -4, 4*i + u - 4*u = 29. Factor -i*d**2 + 4*d**x + 598*d - 598*d + 16*d**3.
5*d**2*(4*d - 1)
Suppose -1038*o + 11 + 10 + 6 + 2265*o**2 + 3313*o - 17 = 0. What is o?
-1, -2/453
Let f(c) = 35*c**2 + 1635*c - 47270. Let n(y) = 3*y**2 + 136*y - 3940. Let s(z) = 2*f(z) - 25*n(z). Factor s(u).
-5*(u - 18)*(u + 44)
Let a(q) be the third derivative of -q**5/60 - q**4/24 + q**3/3 - 38*q**2 - 4. Factor a(r).
-(r - 1)*(r + 2)
Let b be (-2)/16 - 2/((-48)/(-3693)). Let m be 11/(-2)*56/b. Find i such that 12/7*i**4 - 3*i + 3/7 - 39/7*i**3 + 45/7*i**m = 0.
1/4, 1
Suppose 2*j - 20 = 49*p - 48*p, -4*p + j = 3. Determine i so that 0 + 6/5*i - 1/5*i**p - 1/5*i**4 - 4/5*i**3 = 0.
-3, -2, 0, 1
Factor 1/3*u**2 + 118/3*u + 3481/3.
(u + 59)**2/3
Determine z, given that 10*z**2 + 37*z + 32*z - 5*z**3 + 7*z + 50 - 5*z - 6*z = 0.
-2, -1, 5
Let n(k) be the third derivative of -k**5/80 + 53*k**4/48 - 25*k**3/3 - 6790*k**2. Factor n(t).
-(t - 2)*(3*t - 100)/4
Factor 148/5*k + 1008/5 + 4/5*k**2.
4*(k + 9)*(k + 28)/5
Let k be (1312/(-70192))/((-6)/642). Find x such that -5/2*x + 1/2*x**k + 2 = 0.
1, 4
Let z(m) = 9*m**2 + 264*m - 102. Let k(p) = -26*p**2 - 790*p + 289. Let r(h) = -6*k(h) - 17*z(h). Factor r(t).
3*t*(t + 84)
Let j be (3*(52/30 + -2))/(-3). Let u(t) be the first derivative of 0*t**4 + j*t**5 - 4/9*t**3 + 5 + 0*t - 1/9*t**6 + 1/3*t**2. Factor u(p).
-2*p*(p - 1)**3*(p + 1)/3
Let t(x) = 148*x + 211. Let l be t(-4). Let i = 383 + l. Factor 1/8*r + 1/4 - 1/4*r**i - 1/8*r**3.
-(r - 1)*(r + 1)*(r + 2)/8
Let c(h) = 4*h**3 - 2*h**2. Let q be c(3). Let x be 10/q + 98/9. Factor -6*a + x*a + 2 + a**2 - a + 1.
(a + 1)*(a + 3)
Let p(o) be the third derivative of -o**5/24 + 2015*o**4/12 - 812045*o**3/3 + 2*o**2 - 2*o + 1922. Factor p(r).
-5*(r - 806)**2/2
Let y(f) = f**2 + 305*f + 6489. Let s be y(-282). Solve -14/11*w + 10/11*w**s + 4/11 - 14/11*w**4 + 4/11*w**5 + 10/11*w**2 = 0 for w.
-1, 1/2, 1, 2
Let x = 211632 + -211632. Factor 0*q - 11/3*q**5 - 4/3*q**2 + 6*q**4 + x - q**3.
-q**2*(q - 1)**2*(11*q + 4)/3
Let y(h) be the second derivative of -h**5/15 - 11*h**4/9 + 112*h**3/9 - 40*h**2 - 5767*h. Let y(u) = 0. Calculate u.
-15, 2
Factor -3583*z + 2244*z - 4965*z - 2483776 - 157*z**2 - 71*z**2 + 224*z**2.
-4*(z + 788)**2
Let p(k) be the first derivative of 0*k + 4*k**4 - 4*k**3 + 0*k**2 - 4/5*k**5 - 191. Factor p(w).
-4*w**2*(w - 3)*(w - 1)
Let x(y) be the first derivative of y**4/8 - 13*y**3/3 - 29*y**2/4 + 27*y - 972. Factor x(k).
(k - 27)*(k - 1)*(k + 2)/2
Let h be 10395/594*36/210. Factor 0*g**2 + 5/2 + 5/4*g**h - 15/4*g.
5*(g - 1)**2*(g + 2)/4
Let t(q) = -5*q**3 + 1205*q**2 - 1065*q. Let x(d) = -d**3 + 213*d**2 - 188*d. Let h(v) = 8*t(v) - 45*x(v). Factor h(p).
5*p*(p - 1)*(p + 12)
Let g(c) be the second derivative of -3/4*c**4 - 4*c - 3/10*c**5 + 6*c**2 + 2*c**3 + 0 + 1/10*c**6. Factor g(m).
3*(m - 2)**2*(m + 1)**2
Let v(q) be the second derivative of -5*q**4/12 + 65*q**3/3 - 825*q**2/2 + 940*q. Solve v(u) = 0 for u.
11, 15
Let i be (-310)/217 - (-240)/756 - (-5 - -3). Factor 0 + i*k + 2/9*k**2.
2*k*(k + 4)/9
Let r be ((-1584)/(-924))/((-1)/(-14)). Let o = 26 - r. Solve h - 1/4*h**o + 0 = 0.
0, 4
Let s = -279 + 284. Factor -1548*z - 2*z**5 + 1545*z - z**s + 6*z**3.
-3*z*(z - 1)**2*(z + 1)**2
Let a(t) be the second derivative of -2*t**7/147 - 8*t**6/5 + 346*t**5/35 - 524*t**4/21 + 234*t**3/7 - 176*t**2/7 + 4878*t. Factor a(h).
-4*(h - 1)**4*(h + 88)/7
Let p(a) be the third derivative of 1/3*a**4 + 0*a + 0*a**3 + 149*a**2 + 1/2*a**5 - 1/35*a**7 + 2/15*a**6 + 0. Factor p(u).
-2*u*(u - 4)*(u + 1)*(3*u + 1)
Let -16*l**5 + 449365 - 1580*l**4 + 20*l**5 + 158368*l**3 + 165291 - 6272*l - 207393*l**2 - 253583*l**2 = 0. What is l?
-1, 2, 196
Factor -90*o - 5*o**3 + 7*o**3 + 126 - 2192*o**2 + 2154*o**2.
2*(o - 21)*(o - 1)*(o + 3)
Let s(g) be the second derivative of -g**7/21 + g**6/3 - 7*g**5/10 + g**4/2 + 3*g - 374. Determine u, given that s(u) = 0.
0, 1, 3
Let a(n) be the first derivative of -3*n**5/20 - 7*n**4/3 - 40*n**3/3 - 32*n**2 + 87*n - 107. Let s(f) be the first derivative of a(f). Let s(q) = 0. What is q?
-4, -4/3
Let l = 2566/3 + -855. Let k(t) be the first derivative of -l*t**3 + 4/3*t + 0*t**2 + 3 - 1/12*t**4. Factor k(q).
-(q - 1)*(q + 2)**2/3
Suppose -27*z + 59 - 5 = 0. Factor -663*g + 62*g**2 + 1014 - 3010*g**3 + 22*g**z + 3007*g**3.
-3*(g - 13)**2*(g - 2)
Suppose 0 = -12*a + 109 + 107. Suppose 4*l = h + 14, -h - a = -4*l - l. Let -3*i - i - 4 - l*i**5 + 8*i**3 + 0*i - 4*i**4 + 8*i**2 + 0 = 0. What is i?
-1, 1
Factor 297/2*y + 459/2 - 1/2*y**3 + 45/2*y**2.
-(y - 51)*(y + 3)**2/2
Suppose -4*j + 5 + 3 = 0. Suppose -3*i = -5*a - 1, 5 = 4*i - 2*a - 1. Factor 11*m**j + 25*m**5 + 9*m**2 + 60*m**4 - 10*m**i + 45*m**3.
5*m**2*(m + 1)**2*(5*m + 2)
Let y = 572/101 + -4643/909. Let l(h) be the third derivative of 0 + 0*h + y*h**3 - 5/24*h**4 - 36*h**2 + 1/36*h**5. Factor l(j).
5*(j - 2)*(j - 1)/3
Let x(n) be the second derivative of -n**6/1500 - n**5/150 - 5*n**2/2 + n + 36. Let r(q) be the first derivative of x(q). Factor r(l).
-2*l**2*(l + 5)/25
Let l = -109 + 84. Let t be -3 - 85/l - (-13)/5. Solve 1/7*j**t + 0 - 5/7*j - 4/7*j**2 = 0 for j.
-1, 0, 5
Let k(s) be the second derivative of -2 - 1/90*s**4 + 11/45*s**3 - 37*s - 8/5*s**2. Factor k(a).
-2*(a - 8)*(a - 3)/15
Let j be (-26)/(-10) - (12/(-5) + 3). Factor 276*m**j - 155 - 149 + 300 - 140*m**3 - 132*m.
-4*(m - 1)**2*(35*m + 1)
Solve -586/3*t**2 - 28*t**3 - 488*t - 2/3*t**4 - 408 = 0 for t.
-34, -3, -2
Let h(q) be the second derivative of 1/15*q**5 + 0*q**3 + 27/2*q**2 + 0 - 11*q + 5/6*q**4. Let r(v) be the first derivative of h(v). Find x such that r(x) = 0.
-5, 0
Let o be 15/(-12) + (-2)/(-8). Let s = o + 5. Suppose 4*v**3 + 0 - 4*v + 0 - s + 4*v**2 = 0. What is v?
-1, 1
Let q be ((-17)/(-34))/(1/6). Suppose -3 + 5*d**2 + 5*d + 5*d - 2 - d**q - 9*d = 0. What is d?
-1, 1, 5
Let i(v) be the second derivative of 0 + 110*v - 7/50*v**5 + 3/5*v**3 - 1/5*v**4 + 8/5*v**2. Suppose i(j) = 0. What is j?
-1, 8/7
Suppose 145*n - 90 = 345. Let w = 3 + -1. Let 0*t**3 - 2*t**2 - 6*t + 5*t**w + 3*t**n = 0. Calculate t.
-2, 0, 1
Let i(k) be the third derivative of -k**5/30 - 487*k**4/3 - 948676*k**3/3 - 10*k**2 - 508. Factor i(x).
-2*(x + 974)**2
Suppose 10*h - 215 + 155 = 0. Let o(y) be the second derivative of -1/40*y**5 + 5/24*y**4 - 7/12*y**3 + 3/4*y**2 + 0 + h*y. Solve o(a) = 0 for a.
1, 3
Let l(n) be the second derivative of n - 21/10*n**5 - 1/4*n**4 + 17 - 12*n**2 - 3/10*n**6 + 13*n**3. Suppose l(g) = 0. Calculate g.
-4, -2, 1/3, 1
Suppose 1649/7*a - 1648/7 - 1/7*a**2 = 0. What is a?
1, 1648
Let q(o) be the third derivative of -o**7/525 + o**5/150 - 1027*o**2. Solve q(n) = 0 for n.
-1, 0, 1
Let t(j) be the first derivative of 0*j - 2/27*j**3 + 1/3*j**2 + 117. Solve t(i) = 0.
0, 3
Find w such that -2*w**3 - 48 - 109/4*w**2 + 1/4*w**4 - 73*w = 0.
-4, -3, -1, 16
Solve 140/11*u**2 + 134/11*u - 6/11 = 0.
-1, 3/70
Find q, given that 3272*q**2 + 7027 - 790*q**3 + 4*q**5 - 206*q**3 - 4400*q - 8*q**5 - 5011 + 112*q**4 = 0.
1, 2, 9, 14
What is v in 1/3*v**5 + 58/3*v**3 + 85/3*v + 13/3*v**4 + 25/3 + 106/3*v**2 = 0?
-5, -1
Let l = -1069835 + 1069837. Factor -1/5 - 3/5*f - 2/5*f**l.
-(f + 1)*(2*f + 1)/5
Suppose -4*c + 3*z = c - 13, 3*c + z = 19. Factor -6*n**5 + 3