hat d(t) = 0.
-16/11, 6
Let q(b) = -15*b**4 + 186*b**3 + 117*b**2 - 21*b + 21. Let f(k) = -3*k**4 + 37*k**3 + 24*k**2 - 4*k + 4. Let d(c) = -21*f(c) + 4*q(c). Factor d(w).
3*w**2*(w - 12)*(w + 1)
What is g in 78*g**3 + 206886/7*g - 6/7*g**4 - 17226/7*g**2 - 585336/7 = 0?
4, 29
Let i(u) be the third derivative of -u**5/135 - 43*u**4/27 - 129*u**2 + 4. Factor i(v).
-4*v*(v + 86)/9
Let d(j) be the second derivative of 1/2*j**4 - 1/28*j**7 + 5 + 2*j**3 + 0*j**2 + 3*j - 1/4*j**6 - 9/20*j**5. Determine k, given that d(k) = 0.
-2, 0, 1
Let v(t) be the first derivative of -t**6/6 - 4*t**5/5 - t**4 + 2*t**3/3 + 5*t**2/2 + 2*t - 655. Suppose v(r) = 0. Calculate r.
-2, -1, 1
Let i = 1282 - 1284. Let v be 5040/980 - (-10)/i. Factor -v*c**2 - 1/7*c**4 + 0*c + 0 - 2/7*c**3.
-c**2*(c + 1)**2/7
Suppose -544 = -79*w - 228. Solve -8/11*m**2 + 24/11*m**w - 2/11*m + 0 - 18/11*m**5 + 4/11*m**3 = 0.
-1/3, 0, 1
Let a(f) = -14*f**2 - 468*f. Let v(h) = 5*h**2 + 160*h. Let q(m) = 4*a(m) + 11*v(m). Factor q(k).
-k*(k + 112)
Let d(t) be the second derivative of 1/90*t**4 - 1/45*t**6 + 0*t**2 + 57*t + 1/15*t**3 - 7/150*t**5 + 0. Let d(x) = 0. What is x?
-1, 0, 3/5
Suppose 0 = -34*b + 28*b - 132. Let p be (5 + 165/b)*8/(-10). Suppose -8/17*a**3 + 0 + 0*a + 6/17*a**4 + 2/17*a**p = 0. Calculate a.
0, 1/3, 1
Let s = -134074 + 402254/3. Factor -3362/3*f**2 - 656/3*f - s.
-2*(41*f + 4)**2/3
Suppose q - 11 = 2*w, 3*w - 4 = -2*q - 3. Suppose 2*g + 1 = q. Determine a, given that 0 + 0 + 4 - 6*a + g*a + a**2 = 0.
2
Let j(m) = -310*m**2 - 1862*m - 10. Let t be j(-6). Factor -64/7*s**3 + 4/7*s**4 - 64*s + 28 + 312/7*s**t.
4*(s - 7)**2*(s - 1)**2/7
Let d(m) = -m**3 - 200*m**2 - 377*m - 182. Let n(q) = -15*q**3 - 3204*q**2 - 6033*q - 2910. Let b(t) = 33*d(t) - 2*n(t). Factor b(u).
-3*(u + 1)**2*(u + 62)
Let c(g) = -3*g**2 - 23*g + 38. Let b be c(-9). Factor -66 + 16*j - 19*j + 17*j - 4*j**b + 98*j - 142.
-4*(j - 26)*(j - 2)
Let n(j) be the second derivative of j**5/10 + 527*j**4/6 - 1057*j**3/3 + 529*j**2 - 70*j - 22. Factor n(x).
2*(x - 1)**2*(x + 529)
Let p(i) be the first derivative of i**4/12 - 5*i**3/3 - 12*i**2 + 124*i - 98. Let a(k) be the first derivative of p(k). Find n, given that a(n) = 0.
-2, 12
Let g = -498 - -511. Let w(q) be the first derivative of q + 1/3*q**3 + g - q**2. Determine j so that w(j) = 0.
1
Let m(o) be the second derivative of o**4/4 - 175*o**3/6 + 29*o**2 - 2122*o. Factor m(k).
(k - 58)*(3*k - 1)
Suppose -71*p - 762 = -73*p + k, -2*k - 384 = -p. Let t = 1904/5 - p. Factor t*g**2 - 6/5*g + 2/5*g**3 + 0.
2*g*(g - 1)*(g + 3)/5
Let r(k) = 2*k**4 - 133*k**3 + 4067*k**2 + 28282*k + 39224. Let l(u) = -u**4 - u**3 + u**2 - 2*u - 24. Let p(c) = l(c) + r(c). What is b in p(b) = 0?
-4, -2, 70
Let a(n) be the second derivative of -n**5/170 + 13*n**4/51 - 45*n**3/17 - 162*n**2/17 + 214*n - 1. Factor a(v).
-2*(v - 18)*(v - 9)*(v + 1)/17
Let v(g) be the first derivative of -g**5/30 + 2*g**4 - 119*g**3/3 + 578*g**2/3 + 99*g - 76. Let q(z) be the first derivative of v(z). What is a in q(a) = 0?
2, 17
Let u = -529151 - -529153. Factor -2/5*t**3 - 16/5*t + 12/5*t**u + 0.
-2*t*(t - 4)*(t - 2)/5
Solve -50/3*f - 2/3*f**2 + 36 = 0.
-27, 2
Let w(l) be the third derivative of l**8/2352 + l**7/245 - l**6/70 - 22*l**5/105 - 4*l**4/7 + 2*l**2 + 60. Factor w(k).
k*(k - 4)*(k + 2)**2*(k + 6)/7
Let 18748*s**2 + 84 - 491 - 109 - 18750*s**2 + 98*s = 0. What is s?
6, 43
Let t(y) be the first derivative of 3*y**4/4 - 104*y**3 + 8967*y**2/2 - 43218*y + 2629. Suppose t(p) = 0. Calculate p.
6, 49
Let k(t) be the first derivative of 5*t**3/12 - 3215*t**2/8 - 3225*t/2 + 6498. Factor k(r).
5*(r - 645)*(r + 2)/4
Let c(s) be the first derivative of 3*s**7/20 + s**6/30 + s**5/420 + 4*s**3/3 - 2*s + 34. Let i(y) be the third derivative of c(y). Factor i(v).
2*v*(21*v + 1)**2/7
Let u(c) be the second derivative of c**4/15 - 2148*c**3/5 + 5190642*c**2/5 - 552*c - 1. Suppose u(i) = 0. What is i?
1611
Let h(u) be the first derivative of 5*u**3/3 - 80*u**2 - 204. Suppose h(z) = 0. Calculate z.
0, 32
Suppose 3 = -4*x - o + 21, 6 = 3*o. Suppose -15*q - x*q + 57 = 0. Factor -11*j**2 + 42*j - 1/2*j**4 - 49/2 - 6*j**q.
-(j - 1)**2*(j + 7)**2/2
Find r such that 28/13 - 2/13*r**2 + 2*r = 0.
-1, 14
Let g(a) be the second derivative of -2/3*a**7 - 57*a - 56*a**3 - 64/5*a**6 - 399/5*a**5 + 144*a**2 - 2 - 466/3*a**4. What is o in g(o) = 0?
-6, -1, 2/7
Factor -2/5*u**4 + 24/5*u**3 - 58/5*u**2 - 84/5*u + 0.
-2*u*(u - 7)*(u - 6)*(u + 1)/5
Let m(w) = 7*w - 1764 + 1764 - 8*w**2 + 9*w**2. Let q be m(-7). Solve 4/5*j**2 + 1/5*j**3 + q + 3/5*j = 0.
-3, -1, 0
Let y(c) = 58*c**2 + 386*c - 450. Let p = -516 - -514. Let h(n) = n**3 + 2*n. Let t(j) = p*h(j) - y(j). Let t(k) = 0. What is k?
-15, 1
Let a(u) be the first derivative of u**4/12 - 71*u**3/9 + 23*u**2 + 2102. Factor a(k).
k*(k - 69)*(k - 2)/3
Let i(k) = -102*k - 3. Let v be i(-3). Solve -2*c**2 + 5*c**3 - 98415 - v*c**2 + 10935*c - 100*c**2 = 0.
27
Let u(b) be the third derivative of -43*b**8/784 - b**7/735 + 129*b**6/140 - 17*b**5/7 + 53*b**4/24 + b**3/7 + 24*b**2 + 24. Let u(l) = 0. What is l?
-3, -2/129, 1
Let h be (8 + 2)*(-112)/(-546) - (1 + 1). Let x(n) be the third derivative of 31*n**2 + 0*n - h*n**3 + 0 - 1/156*n**4 + 1/390*n**5. Factor x(j).
2*(j - 2)*(j + 1)/13
Let w = 38 + -34. Suppose -a + 8 = m, 4 = w*a - 3*a. Determine n so that 0*n**4 + 32*n**2 - 4*n**5 - 44*n**3 + 24*n**4 - m*n**3 = 0.
0, 2
Let k(u) be the second derivative of -u - 8/25*u**5 - 29/15*u**4 + 24/5*u**2 - 26 + 2/15*u**6 + 8/3*u**3. Let k(c) = 0. Calculate c.
-2, -2/5, 1, 3
Let l(m) be the third derivative of m**7/420 + m**6/45 - m**5/5 - 8*m**3 + 83*m**2 + 2*m. Let g(p) be the first derivative of l(p). Factor g(y).
2*y*(y - 2)*(y + 6)
Factor 1414*t - 518162 - 897*t**2 - 3450*t + 895*t**2.
-2*(t + 509)**2
Let z(n) be the second derivative of n**7/14 + 31*n**6/30 + 109*n**5/20 + 51*n**4/4 + 44*n**3/3 + 8*n**2 - 1419*n. Solve z(v) = 0 for v.
-4, -1, -1/3
Let p = 1/3330 - -1146352/1665. Let u = 692 - p. Factor -u*w**2 - 6 + 8*w + 1/2*w**3.
(w - 3)*(w - 2)**2/2
Let n be (15/(-9))/((-4)/(-144)). Let w be (-290)/(-75) - 8/n. Find p, given that 6/7*p**w + 0*p + 9/7*p**3 + 0 - 6/7*p**2 = 0.
-2, 0, 1/2
Factor -63*x + 0 - 96/5*x**2 + 3/5*x**3.
3*x*(x - 35)*(x + 3)/5
Factor -364658/3 + 122122*j + 143*j**3 - 185749/6*j**2 - 1/6*j**4.
-(j - 427)**2*(j - 2)**2/6
Let w be -9*(-49)/(1278 + 45). Let 1/3*k**3 - w*k**5 + 1/3*k**2 + 0 - 1/3*k**4 + 0*k = 0. Calculate k.
-1, 0, 1
Let w(q) be the second derivative of -q**7/252 - 14*q**6/15 + 343*q**5/120 + 253*q**4/36 - 19*q**3 - 170*q**2/3 - 121*q - 3. Find t, given that w(t) = 0.
-170, -1, 2
Let a(p) be the second derivative of p**6/6 - 71*p**5/4 - 5*p**4/4 + 1075*p**3/6 - 355*p**2 + 167*p + 1. Solve a(y) = 0 for y.
-2, 1, 71
Let y(a) be the third derivative of a**6/420 + 32*a**5/105 - 11*a**4/7 - 108*a**2 - a - 1. Factor y(p).
2*p*(p - 2)*(p + 66)/7
Let d(t) be the first derivative of 6 + 0*t**2 - 1/12*t**4 - 7*t + 1/3*t**3. Let w(p) be the first derivative of d(p). Suppose w(s) = 0. Calculate s.
0, 2
Let o be -14 - (-105)/(-50)*(-470)/70. Factor -1/5*m**3 + 0*m**2 + 1/10*m + 0*m**4 + 0 + o*m**5.
m*(m - 1)**2*(m + 1)**2/10
Let k(h) be the third derivative of h**8/1176 - 116*h**7/735 - 47*h**6/84 - 59*h**5/105 + h**2 - 128. Factor k(a).
2*a**2*(a - 118)*(a + 1)**2/7
Let b = -373 + 661. Solve b*i + 464*i**4 + 452*i**3 - 1112*i**3 + 240*i**2 - 527*i**4 + 48 + 122*i**5 + 25*i**5 = 0 for i.
-2, -2/7, 1, 2
Let h be 1*5/10*-6. Let d(w) = -w**3 - 3*w**4 + 2*w**4 + 3 - 4. Let k(j) = -9*j**4 - 5*j**3 - 4*j - 8. Let s(c) = h*k(c) + 24*d(c). Find a such that s(a) = 0.
-1, 0, 2
Let l(p) = p**2 - p - 4. Let f(i) = -2*i**4 - 68*i**3 + 212*i**2 - 216*i + 90. Let v(c) = f(c) + 4*l(c). Factor v(n).
-2*(n - 1)**3*(n + 37)
Let y(t) be the second derivative of 4*t**4/3 - 16*t**3/3 - 170*t. Let d(c) = 110*c**2 - 225*c. Let v(p) = -3*d(p) + 20*y(p). Find a such that v(a) = 0.
0, 7/2
Let w = 789 + -591. Let o be (16/18)/(264/w). Find t such that o*t + 0 + 0*t**3 - 2/3*t**5 + 4/3*t**2 - 4/3*t**4 = 0.
-1, 0, 1
Let l(o) be the first derivative of -o**6/6 - 7*o**5/5 + 27*o**4/2 - 76*o**3/3 - 20*o**2 + 96*o + 625. Factor l(x).
-(x - 2)**3*(x + 1)*(x + 12)
Factor 14*s - 10*s**2 - 1/2*