, 33
Let q be ((-1)/2)/(44/(-176)). Let s be 30/(-16)*12/10 + 3. Factor 0*o + s*o**q - 3.
3*(o - 2)*(o + 2)/4
Let h be ((-2 - 1) + -7)*(-144)/720. Find k, given that -1/3*k**2 + h*k - 8/3 = 0.
2, 4
Suppose 4*x + 5*q - 1527 + 1479 = 0, 0 = 2*x - q + 4. Factor 11/4*b**3 + 0 - 5/4*b**x + 1/4*b**5 + 0*b - 7/4*b**4.
b**2*(b - 5)*(b - 1)**2/4
Let o be ((-246)/(-820) - 201/(-30)) + (3 - 2)*-2. What is y in 1/4*y**o + 3/4*y**4 + 0 - 3/4*y**2 + 1/4*y**3 - 1/2*y = 0?
-2, -1, 0, 1
Factor -7/3*h + 8/3 - 1/3*h**2.
-(h - 1)*(h + 8)/3
Let g(f) be the first derivative of -f**5/90 - 5*f**4/27 + 61*f + 35. Let b(l) be the first derivative of g(l). Factor b(c).
-2*c**2*(c + 10)/9
Let t(h) = -12*h + 948. Let f be t(79). Let m(u) be the second derivative of f*u**2 + 1/4*u**5 - 10*u + 5/6*u**4 - 20/3*u**3 + 0. Factor m(b).
5*b*(b - 2)*(b + 4)
Suppose -2/7*t**5 - 122/7*t**3 - 8*t + 0 - 144/7*t**2 - 36/7*t**4 = 0. What is t?
-14, -2, -1, 0
Let b(r) be the third derivative of r**8/448 + 9*r**7/280 - 13*r**5/10 + 3*r**4/2 + 18*r**3 + 6905*r**2. Solve b(t) = 0 for t.
-6, -1, 2
Let v(g) = g**3 - g**2 + 4*g. Let k(j) = -4*j**3 - 11*j**2 - 20*j. Let u(x) = -x**3 + 4*x**2 + 9*x - 51. Let o be u(4). Let m(c) = o*v(c) - 3*k(c). Factor m(a).
-3*a**2*(a - 16)
Let v(u) = -3*u**2 - 440*u - 52439. Let n(f) = -4*f**2 - 431*f - 52438. Let h(s) = -2*n(s) + 3*v(s). Let h(w) = 0. What is w?
-229
Let r(a) be the second derivative of -a**5/10 - 157*a**4/3 - 619*a**3 - 2772*a**2 - 2663*a - 1. Find h such that r(h) = 0.
-308, -3
Let k(p) be the first derivative of -2*p**3/45 + 58*p**2/15 + 118*p/15 + 576. Factor k(b).
-2*(b - 59)*(b + 1)/15
Let n(b) = -156*b - 13. Let v be n(-1). Suppose v = -u + 144. Solve u + 0*j - 7/4*j**2 + 3/4*j**4 + 1/4*j**5 - 1/4*j**3 = 0.
-2, -1, 1
Suppose -3*l + 101 = -4*x + 5*x, x = -5*l + 95. Suppose 0 = 49*r - x - 86. Factor 8/5*k + 6/5*k**2 - 4/5*k**3 - 8/5 - 2/5*k**r.
-2*(k - 1)**2*(k + 2)**2/5
Let m(p) = p**3 + 8*p**2 - 28*p - 168. Let f be m(-9). Let d(w) be the first derivative of -18 - 4/21*w**f + 0*w + 0*w**2. Let d(j) = 0. Calculate j.
0
Let a = -5828 + 5832. Let p(i) be the second derivative of 49/3*i**2 - 20*i + 1/18*i**a + 14/9*i**3 + 0. Factor p(u).
2*(u + 7)**2/3
Find a, given that -1/5*a**2 - 284089/5 - 1066/5*a = 0.
-533
Factor -24*a + 328/7 + 2/7*a**2.
2*(a - 82)*(a - 2)/7
Let h = -10448 - -10450. Factor -57/2*k**h + 56*k + 9/2*k**3 - 32.
(k - 1)*(3*k - 8)**2/2
Let z(l) be the first derivative of 15*l**4/14 + 326*l**3/7 + 282*l**2/7 - 384*l/7 - 2183. Determine w, given that z(w) = 0.
-32, -1, 2/5
Suppose 16 = 6*k - 44. Let p(w) be the first derivative of -35*w**3 - k + 21*w**2 + 16*w**3 + 18*w**3 - 147*w. Solve p(q) = 0 for q.
7
Let o be (-28)/(-36)*3 - 20/(-30). Factor -33*v**3 - 90*v**2 - 97516 - o*v**4 + 97516.
-3*v**2*(v + 5)*(v + 6)
Let x = 475 + -473. Let h(f) = -f**3 + 3*f**2 - f + 1. Let c be h(2). Factor -5*z**2 + 4*z**3 - z + 5*z**x - c*z**3.
z*(z - 1)*(z + 1)
Suppose -388*a = -593*a. Let m(r) be the second derivative of -1/10*r**5 + 0 + 1/21*r**7 + 0*r**6 - 16*r + 0*r**4 + 0*r**3 + a*r**2. Factor m(t).
2*t**3*(t - 1)*(t + 1)
Find d such that -27610*d**2 + 2500*d**5 - 3030*d**2 + 128500*d**4 + 2661*d - 4992 - 78600*d**3 + 26363*d = 0.
-52, -3/5, 2/5
Let f(h) be the first derivative of 0*h + 1/105*h**5 + 5*h**3 + 26 + 1/1260*h**6 + 0*h**2 + 1/21*h**4. Let v(k) be the third derivative of f(k). Factor v(t).
2*(t + 2)**2/7
Suppose 14*w = p + 15*w - 16, 9 = -3*w. Factor 82 - 12*z**2 - 220*z - 2*z**3 - 39*z**2 - 3*z**3 - p*z**2 - 282.
-5*(z + 2)**2*(z + 10)
Suppose 5*r = -5*k + 105650, -5*r - 4*k + 106171 = 520. Factor 28*h - 17*h**2 + 21139*h**3 - 15*h**2 - 4*h**5 - r*h**3 + 8*h**4 - 8.
-4*(h - 1)**4*(h + 2)
Let j(t) = t**3 + 3*t**2 + 4. Let w be j(-3). Let l be 3/24 + ((-390)/52)/(1*-4). Factor u + 3*u**w + 94*u**3 - 3*u**2 + l*u - 97*u**3.
3*u*(u - 1)**2*(u + 1)
Factor -43*z**3 + 52*z**2 - 4*z - 51*z**3 + 42*z**2 + 4*z**2.
-2*z*(z - 1)*(47*z - 2)
Let p(v) be the third derivative of -v**6/1080 + v**5/45 + 11*v**4/24 - 50*v**3/3 - 5*v**2. Let l(h) be the first derivative of p(h). Factor l(c).
-(c - 11)*(c + 3)/3
Let i be (-4)/(-15)*(-7 - (-87)/6). Let c(p) be the second derivative of 3/4*p**5 + 0 - 40*p + 8/3*p**4 - 3/10*p**6 + 0*p**2 + i*p**3. Factor c(o).
-o*(o - 3)*(3*o + 2)**2
Suppose -125 = -p + 11*x, -4*p - 40*x = -37*x + 17. Determine f, given that p*f + 2/3*f**2 + 10/3 = 0.
-5, -1
Let l(v) be the first derivative of v**8/84 - v**6/2 + 2*v**5/3 + 10*v**4 - 48*v**3 - 99*v**2 - 121. Let q(u) be the second derivative of l(u). Solve q(s) = 0.
-3, 2
Factor 1438/9*k + 0 + 2/9*k**3 + 160*k**2.
2*k*(k + 1)*(k + 719)/9
Let m(p) be the first derivative of 1/15*p**6 + 4/15*p**3 + 105 + 0*p + 0*p**2 - 1/10*p**4 - 4/25*p**5. Find f, given that m(f) = 0.
-1, 0, 1, 2
Let k(i) be the third derivative of 2/9*i**4 - 1/270*i**6 - 4/135*i**5 + 9*i**2 + 0 + 0*i + 0*i**3. Suppose k(f) = 0. What is f?
-6, 0, 2
Let f(y) be the second derivative of y**6/330 - 357*y**5/110 + 11651*y**4/12 - 42364*y**3/11 + 63368*y**2/11 - 1898*y. Solve f(a) = 0.
1, 356
Let a(w) = w**2 - 769*w + 146510. Let y be a(348). Factor -5/6 + m**y - 2/3*m + 2/3*m**3 - 1/6*m**4.
-(m - 5)*(m - 1)*(m + 1)**2/6
Suppose 177 = -522*x + 581*x. Solve 5/3 - 1/3*t**x - 11/3*t + 7/3*t**2 = 0 for t.
1, 5
Let s(h) be the second derivative of 0 - 12*h**2 + 1/4*h**4 - h**3 + 14*h. Find u such that s(u) = 0.
-2, 4
Suppose -6812*m = -21805 - 12255. Let -34/3*p**4 - 38/3*p**2 + 2/3*p**m + 0 - 74/3*p**3 + 0*p = 0. Calculate p.
-1, 0, 19
Let s(c) be the first derivative of -c**4/6 + 2*c**3 - 5*c**2 + 21*c + 69. Let m(k) be the first derivative of s(k). Solve m(x) = 0.
1, 5
Let w(t) = -1185*t + 88880. Let j be w(75). Let 129*a**2 + 111/4*a**4 + 363/4*a**3 + 3*a**j + 12 + 75*a = 0. What is a?
-4, -2, -1, -1/4
Factor 137/2*q - 19*q**4 - 17 + 1/2*q**5 - 104*q**2 + 71*q**3.
(q - 34)*(q - 1)**4/2
Let v(c) be the second derivative of c**6/75 - 39*c**5/25 + 423*c**4/10 + 3276*c**3/5 + 15876*c**2/5 - 16*c - 9. Factor v(t).
2*(t - 42)**2*(t + 3)**2/5
Let x = -126977 + 253979/2. Factor -x*v**4 - 2 - 15*v**3 + 11/2*v**2 + 6*v.
-(v + 1)**2*(5*v - 2)**2/2
Let a(c) be the third derivative of c**5/210 + 3*c**4/4 - 64*c**3/21 + 17*c**2 + 35. Factor a(i).
2*(i - 1)*(i + 64)/7
Let o(j) be the third derivative of 0*j + 529/21*j**3 - 23/42*j**4 + 1/210*j**5 + 0 + 141*j**2. Factor o(s).
2*(s - 23)**2/7
Suppose 41 + 37 = 18*p + 42. Let r(w) = -w**2 - 3*w. Let g be r(-3). Factor 15/7*k**3 - 6/7*k**p + 0 + g*k - 6/7*k**4.
-3*k**2*(k - 2)*(2*k - 1)/7
Suppose -2*c**5 + 579*c**2 - 1507*c**2 + 612*c**3 + 10*c**4 - 158*c**4 - 156 + 622*c = 0. Calculate c.
-78, 1
Factor 18240/7*i**2 + 5256/7*i**3 + 0 + 240/7*i**4 + 3/7*i**5 + 17328/7*i.
3*i*(i + 2)**2*(i + 38)**2/7
Let v(p) = 8*p**2 - 10937*p - 15048093. Let h(k) = -2*k**2 - 7*k - 1. Let x(w) = -5*h(w) - v(w). What is i in x(i) = 0?
-2743
Suppose 4*v + 28*v = 768. Suppose 0 = v*o - 13*o. Solve o - 2/9*q + 1/9*q**2 + 1/9*q**3 = 0 for q.
-2, 0, 1
Let t(p) be the third derivative of -5*p**8/2352 - 12*p**7/245 - 23*p**6/56 - 283*p**5/210 + 48*p**3/7 - 56*p**2 - 11*p. Find k, given that t(k) = 0.
-6, -4, -1, 3/5
Suppose 344*b - 103*b**3 - 3*b**2 - 267*b**3 + 4*b**5 - 8*b**2 + 164*b**4 - 153*b**2 + 22*b**3 = 0. What is b?
-43, -1, 0, 1, 2
Let m(f) be the third derivative of f**7/1470 + f**6/840 - 11*f**5/140 + 59*f**4/168 - 2*f**3/3 + 867*f**2 - f. Determine h, given that m(h) = 0.
-7, 1, 4
Let w(l) = 8 + 5*l - 7*l - 9 + l**2. Let u be w(3). Factor 8*i - 13*i + 2*i**u + 4*i**4 + 9*i - 10*i**3.
2*i*(i - 2)*(i - 1)*(2*i + 1)
Let z(m) be the first derivative of 17*m**5/10 + 103*m**4/24 - 19*m**3/9 - 23*m**2/3 - 4*m + 3868. Find h such that z(h) = 0.
-2, -2/3, -6/17, 1
Let p = 299 + -1494/5. Let w(t) be the first derivative of -p*t**2 - 1/3*t**3 + 5 + 7/20*t**4 + 0*t. Find r such that w(r) = 0.
-2/7, 0, 1
Let y be -15*(-3 - (-32)/12). Suppose -2*i - 9 = -y*i. Suppose 370*t + 9*t**4 + 12*t**i - 370*t - 3*t**5 = 0. Calculate t.
-1, 0, 4
Let t(l) be the second derivative of 128/15*l**6 + 104/5*l**5 + l + l**2 + 17/3*l**3 + 16*l**4 - 2. Let t(i) = 0. Calculate i.
-1, -1/4, -1/8
Determine a so that -2/15*a**2 + 1132/15*a - 226/3 = 0.
1, 565
Let q(y) = -2*y**2 - 85*y - 121. Let r be q(-41). Suppo