that s(h) = 0.
-11, 0
Let m(w) = -w + 1. Let u(n) = n + 34. Let d(o) = -2*m(o) + u(o). Let y be d(-10). Factor -71*j**2 + j**4 + j**4 - 8 + y + 59*j**2 - 16*j.
2*(j - 3)*(j + 1)**3
Let m = -1621/4 - -9767/24. Let g = m - -1/24. Factor -3/2 - 3*b**2 - 25/4*b + g*b**3.
(b - 3)*(b + 1)*(7*b + 2)/4
Suppose -2*z - 14 = -4*a, -5*a - 47 + 60 = 2*z. Solve -2/23*p**a - 6/23*p**2 + 6/23*p**4 + 4/23*p + 0 - 2/23*p**5 = 0 for p.
-1, 0, 1, 2
Suppose a + 7242 = 2*a + f, 2*a + f = 14487. Determine m so that 7241*m**3 - 8*m**2 + 2*m**4 + 2*m - a*m**3 + 2*m + 6 = 0.
-1, 1, 3
Suppose 6*h + 90 = 21*h. Find q, given that -85*q**2 - h*q**3 - 155*q + 6853 + q**3 - 6928 = 0.
-15, -1
Let k(z) be the first derivative of 0*z**2 + 0*z - 3*z**4 - 188 + 2*z**5 + 1/3*z**6 + 0*z**3. Solve k(v) = 0 for v.
-6, 0, 1
Let c = -997 + 1003. Let p(m) be the second derivative of 4/3*m**4 + 5*m - 2/3*m**3 + 0 - 5/6*m**c + 0*m**2 - 1/4*m**5. Factor p(u).
-u*(u + 1)*(5*u - 2)**2
Let j = 476/411 + 24/137. Let h(d) be the second derivative of 14*d + 0 + 0*d**2 - d**4 - j*d**3. Suppose h(b) = 0. Calculate b.
-2/3, 0
Let o(r) be the second derivative of -5*r**7/168 - 7*r**6/3 + r**5/16 + 35*r**4/6 - 7946*r. Solve o(p) = 0 for p.
-56, -1, 0, 1
Let g(m) be the third derivative of 62*m**2 + 0*m + 8/105*m**7 + 0*m**5 + 0*m**4 + 0*m**3 + 0 + 0*m**6 - 1/84*m**8. Factor g(z).
-4*z**4*(z - 4)
Let k = 548 - 546. Let f(w) be the second derivative of 0 - w**k - 1/9*w**4 - 7/9*w**3 + 23*w. Factor f(v).
-2*(v + 3)*(2*v + 1)/3
Let a(h) be the first derivative of 3*h**5/5 - 3*h**4/2 - 15*h**3 - 6*h**2 + 60*h - 2068. Factor a(r).
3*(r - 5)*(r - 1)*(r + 2)**2
Let l be 5 - (-11)/((-55)/(-100)). Factor -l*y**2 + 25 - 63*y + 33*y - 71*y - 19*y.
-5*(y + 5)*(5*y - 1)
Let -6/5*j**4 + 6/5*j**2 - 27/5*j**3 + 24/5*j + 0 + 3/5*j**5 = 0. Calculate j.
-2, -1, 0, 1, 4
Let i(x) = 31*x**2 + 2*x + 2. Let g be i(-1). Factor g*p**3 - 3*p - 70*p**3 + 41*p**3 + p**5 + 0*p**2 + 1 + 2*p**2 - 3*p**4.
(p - 1)**4*(p + 1)
Suppose -2*v - 15 = 5*l + 1, -2*l = 5*v - 2. Suppose 0 = 6*x - 21 - 3. Factor 17*b - 64*b**v - b + 31*b**3 + 112*b**4 - 11*b**3 - 12*b**x.
4*b*(b + 1)*(5*b - 2)**2
Let p(r) be the third derivative of -r**6/360 + 31*r**4/72 - 5*r**3/3 + 3*r**2 + 143. Factor p(v).
-(v - 5)*(v - 1)*(v + 6)/3
Let d(y) be the second derivative of -1/84*y**4 + 1/210*y**5 + 0*y**3 - 16*y + 17/2*y**2 + 0. Let l(f) be the first derivative of d(f). What is c in l(c) = 0?
0, 1
Suppose -164*o**4 - 482*o**3 + 2*o**5 + 943661 - 15*o**4 + 698*o**2 + 1896*o - 55*o**4 - 942709 = 0. What is o?
-2, -1, 2, 119
Let d(r) be the third derivative of -27*r**2 - 1/4*r**6 + 0*r**4 - 5/42*r**7 + 0*r + 0 + 0*r**5 + 0*r**3 - 5/336*r**8. Factor d(x).
-5*x**3*(x + 2)*(x + 3)
Let w = 100083 - 500367/5. Factor -288/5 + w*l - 2/5*l**2.
-2*(l - 12)**2/5
Let u = -130 - -134. Find m such that -30 + 15*m**2 + 105*m**u - 85*m**3 - 31 + 61 + 45*m**5 = 0.
-3, 0, 1/3
Let g be (-18)/((-21)/((-294)/(-16))). Solve -441/4*p**2 - 3/4*p**4 - 1029/4*p + 0 - g*p**3 = 0 for p.
-7, 0
Let k = -36099 - -36103. Let f(a) be the first derivative of 0*a + 33/4*a**k + 6*a**2 + 19*a**3 - 12/5*a**5 + 37. Find g, given that f(g) = 0.
-1, -1/4, 0, 4
Suppose 51/5*f**3 - 51/5*f + 9*f**2 - 48/5*f**4 + 3/5 = 0. What is f?
-1, 1/16, 1
Let c be (-1)/2*2*5. Let o(w) = -w**3 - 6*w**2 - 6*w - 5. Let b be o(c). Find h such that 0*h + b + 2/3*h**5 - 2/3*h**2 + 2/3*h**4 - 2/3*h**3 = 0.
-1, 0, 1
Let r(u) be the second derivative of u**5/300 + u**4/15 - 2*u**3/3 - 22*u**2 - 103*u. Let b(g) be the first derivative of r(g). What is v in b(v) = 0?
-10, 2
Let l(w) be the third derivative of 244/45*w**5 + 0 - 112/3*w**4 + 128*w**3 + 2/315*w**7 + 3*w - 14/45*w**6 + 10*w**2. What is m in l(m) = 0?
2, 12
Factor 3400239902 - 33028362*p + 15576*p**2 + 1294556572 + 30295212998 - 2*p**3 - 7406934*p.
-2*(p - 2596)**3
Let l(o) be the second derivative of 1/5*o**5 - 139*o + 0*o**2 - 1/2*o**4 + 1/5*o**6 + 0 - 2/3*o**3. Factor l(c).
2*c*(c - 1)*(c + 1)*(3*c + 2)
Let c(i) be the third derivative of i**7/1260 - 113*i**6/60 + 38307*i**5/20 - 4328691*i**4/4 + 1467426249*i**3/4 + 1361*i**2. Suppose c(q) = 0. What is q?
339
Factor 25*s**3 + 66*s**2 + 24*s**3 + 14*s**3 - 65*s**3.
-2*s**2*(s - 33)
Let n = -10896/77 + 11028/77. Factor 0*v - 2/7*v**4 + 0 - 10/7*v**3 + n*v**2.
-2*v**2*(v - 1)*(v + 6)/7
Let m(f) be the second derivative of f**7/147 - 76*f**6/105 - 159*f**5/70 + 113*f**4/21 + 620*f**3/21 + 312*f**2/7 - 3726*f. Suppose m(x) = 0. Calculate x.
-2, -1, 2, 78
Let i(f) be the second derivative of f**5/50 - 411*f**4/5 + 675684*f**3/5 - 555412248*f**2/5 - 617*f. Factor i(v).
2*(v - 822)**3/5
Let u be (13266/484 - 24)/((-9)/(-384)). Let 4266/11*c**4 + 6824/11*c**2 + 486/11*c**5 + 10896/11*c**3 + u*c + 128/11 = 0. What is c?
-4, -1/3, -2/9
Suppose 2*x - p = -3*x - 144, 0 = -4*x + 2*p - 120. Let d = x - -31. Solve 2*b**3 + 9 + 3*b - 9 + 3*b**5 - 8*b**d = 0.
-1, 0, 1
Let o(t) be the third derivative of t**6/24 + 5*t**5 + 45*t**4/2 - 1160*t**3/3 - 5*t**2 + 472. Factor o(s).
5*(s - 2)*(s + 4)*(s + 58)
Let g(n) = 2*n**4 + n**3 - 3*n**2. Let x(r) = -10*r**4 + 53*r**3 - 179*r**2 - 56*r + 192. Let y(s) = -3*g(s) - x(s). Solve y(l) = 0.
-1, 1, 6, 8
Let 2/7*g**4 + 0 + 96/7*g**3 + 198*g**2 + 756*g = 0. What is g?
-21, -6, 0
Let x = 134235/4 - 33765. Let i = x - -207. Factor 0*t**2 + 3/2*t**3 + 0*t + 0 - i*t**4.
-3*t**3*(t - 2)/4
Let u(a) be the third derivative of -3 - 3/200*a**6 + 0*a + 2*a**2 - 1/350*a**7 + 3/40*a**4 + 1/100*a**5 + 0*a**3. Determine g so that u(g) = 0.
-3, -1, 0, 1
Let t be 1 + 6/(-10) - (-22)/(-55). Suppose -7*n + 8*n - 54 = t. Let n*c**2 + 61*c**2 - 114*c**2 - 6*c = 0. Calculate c.
0, 6
Let b = 8965 - 26639/3. Let k be -3 + 408/126 - (-10)/105. Determine s, given that b - 32/3*s + k*s**2 = 0.
16
Suppose -5*a = 29 - 69. Factor -a*u**2 + 11*u**3 - 6*u**3 - 40*u - 2*u**2 + u**3 - u**3.
5*u*(u - 4)*(u + 2)
Let g(v) be the second derivative of v**7/504 + 2*v**6/9 + 29*v**4/12 + v + 188. Let y(l) be the third derivative of g(l). Factor y(z).
5*z*(z + 32)
Let q(y) be the first derivative of 12 + 0*y - 1/20*y**5 - 1/3*y**3 - 8*y**2 - 7/24*y**4. Let o(g) be the second derivative of q(g). Factor o(j).
-(j + 2)*(3*j + 1)
Let b(h) = -h**5 - h**3 + h - 1. Let o(q) = -32*q**2 - 4*q**4 - 6*q - 6*q**5 + 36*q**2 - 2 + 0 + 10*q**3. Let n(x) = -2*b(x) + o(x). Let n(y) = 0. What is y?
-2, -1, 0, 1
Let c = 2 - 0. Let f(j) = -13*j - 75. Let b be f(-6). Factor -c*u - 5*u**3 + u**b - 1 + 2*u + 3*u.
-(u + 1)*(2*u - 1)**2
Let r(p) be the first derivative of -8*p + 1/9*p**6 - 94/9*p**3 - 24 - 7/2*p**4 - 40/3*p**2 - 2/15*p**5. Solve r(w) = 0 for w.
-2, -1, 6
Let k(b) be the second derivative of b**4/78 - 808*b**3/39 + 163216*b**2/13 + 4238*b + 2. Factor k(u).
2*(u - 404)**2/13
Let m be (-91839)/(-38962)*8/3. Factor -180/7*b + 174/7*b**2 - m*b**3 - 81/7 + 3/7*b**4.
(b - 9)*(b - 3)**2*(3*b + 1)/7
Let i(m) be the second derivative of m**4/30 - 146*m**3/3 + 26645*m**2 - 27*m + 6. Factor i(j).
2*(j - 365)**2/5
Let k(p) be the third derivative of p**5/360 - 173*p**4/144 + 19*p**3/2 - 2*p**2 + 2216. Solve k(g) = 0 for g.
2, 171
Find r, given that 1174/3*r - 18*r**5 + 504*r**4 + 124/3 + 1632*r**3 + 3868/3*r**2 = 0.
-2, -1/3, 31
Let i = 2/376741 + 1592484193/2637187. Let p = i - 603. Factor -2/7*b**2 + p*b + 0.
-2*b*(b - 3)/7
Let a(p) be the first derivative of -p**6/6 + p**5 + 5*p**4/6 - 10*p**3 - 45*p**2/2 - 30*p - 92. Let x(d) be the first derivative of a(d). Factor x(v).
-5*(v - 3)**2*(v + 1)**2
Let w(f) = -4*f**5 - 14*f**4 + 38*f**3 + 2*f**2 - 2*f + 2. Let m(p) = p**4 + p**3 - p**2 + p - 1. Let h(y) = 2*m(y) + w(y). What is j in h(j) = 0?
-5, 0, 2
Suppose -278*u + 636 = -66*u. Let 3/5 - 3/5*l - 3/5*l**2 + 3/5*l**u = 0. What is l?
-1, 1
Let x = 1581 + -1564. Suppose -h = -3*p + 1, -4*p - 18*h + 13 = -x*h. Suppose p*m**2 + 12/5*m**3 + 0 + 0*m + 2/5*m**4 = 0. Calculate m.
-5, -1, 0
Let k(t) be the third derivative of 2*t + 0 - 3/8*t**4 + 0*t**3 + 27*t**2 + 1/40*t**6 - 1/10*t**5. Determine l, given that k(l) = 0.
-1, 0, 3
Suppose 3404*v - 35 = 3397*v. Let c(w) be the third derivative of 0*w + 1/180*w**v + 0 + 1/9*w**3 + 6*w**2 + 1/24*w**4. Solve c(x) = 0 for x.
-2, -1
Find k, given that -5/3*k**5 + 0 + 266/3*k**3 - 136*k - 163/3*k**4 + 940/3*k**2 = 0