) be the third derivative of -b**7/42 - 17*b**6/24 + b**5/4 + 265*b**4/24 + 85*b**3/3 + 8*b**2. What is h in r(h) = 0?
-17, -1, 2
Let r(n) = 12*n**3 + 12*n**2 - 290*n - 290. Let f(q) = 4*q**3 + 4*q**2 - 97*q - 97. Let j(m) = -10*f(m) + 3*r(m). Factor j(v).
-4*(v - 5)*(v + 1)*(v + 5)
Let p = -3/1573 - -3161/7865. What is a in 1/5 + 1/5*a**2 - p*a = 0?
1
Let n be (-1)/(4/972)*2/(-6). Suppose 85*w = n*w + 8. Find t, given that 2/5*t**w - 1/5*t**3 - 2/5 + 1/5*t = 0.
-1, 1, 2
Suppose 31 = 4*w - 3*r, -2*w - 6*r + 32 = -2*r. Suppose 0 = -j - 2*m - 8, 3*j = 8*j + 4*m + w. Factor 0*a + 4*a**j + 0*a**2 + 2*a + 0*a.
2*a*(2*a + 1)
Let p(a) be the first derivative of 0*a**2 - 8 - 2/3*a**3 + 0*a + a**4 - 2/5*a**5. Factor p(d).
-2*d**2*(d - 1)**2
Let h(g) be the first derivative of -5*g**6/9 + 5*g**5/6 + 335*g**4/24 + 215*g**3/18 - 25*g**2/4 - 227. Let h(q) = 0. Calculate q.
-3, -1, 0, 1/4, 5
Let g(h) be the second derivative of -1/40*h**5 + 1/3*h**3 + 1/24*h**4 + 0 + 8*h - h**2. Let g(d) = 0. What is d?
-2, 1, 2
Let r(b) be the third derivative of -b**5/24 + 25*b**4/48 + 5*b**3/2 + 598*b**2. Let r(p) = 0. Calculate p.
-1, 6
Let g(q) = -q**4 - q**3 + q**2 + 2*q - 1. Let l(v) = -10*v**4 - 4*v**3 + 15*v**2 + 10*v - 11. Let o(u) = -22*g(u) + 2*l(u). Solve o(h) = 0 for h.
-6, -2, 0, 1
Let i(m) be the third derivative of m**5/270 - 7*m**4/108 + 10*m**3/27 - 209*m**2. Factor i(g).
2*(g - 5)*(g - 2)/9
Let n be (4/(-48))/(3 - 28/8). Let d(s) be the first derivative of -n*s**4 - 1 - 1/3*s**2 - 4/9*s**3 + 0*s. Suppose d(t) = 0. Calculate t.
-1, 0
Suppose 3*r = 7*r + 2*z - 222, -5*r + 4*z + 284 = 0. Suppose r = -p + 58. Factor -18/13*o - 2/13*o**3 + 12/13*o**p + 0.
-2*o*(o - 3)**2/13
Let d(x) be the second derivative of x**5/4 - 25*x**4/3 + 250*x**3/3 + x + 11. Solve d(o) = 0.
0, 10
Let s = -125 - -125. Let t(m) be the second derivative of s - 2*m - 1/24*m**4 - 1/12*m**3 + 0*m**2. Factor t(r).
-r*(r + 1)/2
Let n be (-4)/14 + (-2327)/(-3759). Determine l so that n*l**3 - 2/3*l + 0 - 1/3*l**2 = 0.
-1, 0, 2
Suppose -5*r = -2*i + 16, 2*i - 10 = -0*i + 2*r. Find n, given that -5*n**2 + 3*n**i - 7*n**2 + 6*n**2 = 0.
0, 2
Factor 1/7*g**4 + 3/7*g**3 + 0 + 0*g - 4/7*g**2.
g**2*(g - 1)*(g + 4)/7
Let s(j) = -3*j**2 - j + 2. Let q(z) = -z**2 - 2. Let c(m) = -10*q(m) + 5*s(m). Let c(d) = 0. Calculate d.
-3, 2
Let o(t) be the third derivative of 5*t**7/189 - 16*t**6/27 + 122*t**5/135 - 4*t**4/9 - 10*t**2 - t. Determine b so that o(b) = 0.
0, 2/5, 12
Suppose 152*p = 156*p - 8. Let l be 0*(1 + -2) + 3. Factor 5*w + 3 - 4*w**3 + 3*w - 4*w**p - l.
-4*w*(w - 1)*(w + 2)
Let i(h) be the second derivative of 2*h**5/3 - 5*h**4/8 - 2*h**2 - 5*h. Let c(l) be the first derivative of i(l). Factor c(v).
5*v*(8*v - 3)
Let k be -2 + (6 - 3 - 0). Let b(f) = f**4 + f. Let j(z) = 5*z**4 - 12*z**3 - 48*z**2 - 58*z. Let i(u) = k*j(u) - 6*b(u). Factor i(x).
-x*(x + 4)**3
Let r(t) be the first derivative of 0*t - 2/7*t**2 + 2/3*t**3 - 1/21*t**6 - 9/14*t**4 + 13 + 2/7*t**5. Solve r(f) = 0 for f.
0, 1, 2
Suppose 2/11*l**2 + 192/11 + 100/11*l = 0. What is l?
-48, -2
Let b(g) be the second derivative of -g**7/504 + g**6/18 - 2*g**5/3 + g**4/4 - 4*g. Let t(c) be the third derivative of b(c). Find p such that t(p) = 0.
4
Let d(q) be the second derivative of 13*q + 1/114*q**4 - 1/57*q**3 + 0*q**2 + 0. Determine z, given that d(z) = 0.
0, 1
Let q(h) be the third derivative of -h**6/60 - 377*h**5/120 - 4465*h**4/24 - 2209*h**3/12 - 76*h**2 - 4. What is c in q(c) = 0?
-47, -1/4
Let o(k) = k**2 - 6*k + 1. Let x be o(4). Let j be 8/(-16)*(x - 1). Factor 2*d + j*d - 4 - 3*d**2 - 1 + 2.
-3*(d - 1)**2
Suppose 1/2*p**2 + 0*p**3 - 1/4*p**4 - 1/4 + 0*p = 0. What is p?
-1, 1
Suppose 5*u + t + 4*t - 30 = 0, 4*u = 5*t - 3. Determine c, given that -6*c**2 + u*c**2 + 3*c**2 + 12 - 3*c**2 = 0.
-2, 2
Let b(g) = 206*g + 1034. Let v be b(-5). Determine n so that 2/5*n**2 + 0 - 1/5*n**3 - 1/5*n**v + 0*n = 0.
-2, 0, 1
Let n(a) be the third derivative of -2*a**7/105 + a**6/2 + 52*a**5/15 + 6*a**4 - 76*a**2. Factor n(q).
-4*q*(q - 18)*(q + 1)*(q + 2)
Suppose 4*w + 4*b - 12 = 0, b = 3*w - 4*b + 7. Let m(t) = 2*t**4 + 32*t**3 - 90*t**2 + 72*t. Let d(z) = z**4 - z**2. Let y(c) = w*m(c) - 6*d(c). Factor y(p).
-4*p*(p - 3)**2*(p - 2)
Factor 35/3*t**2 + 0 - 5/3*t**3 + 40/3*t.
-5*t*(t - 8)*(t + 1)/3
Let t(s) be the second derivative of -11/54*s**4 + 0 - 25/9*s**2 - 1/90*s**5 - 35/27*s**3 + 21*s. Let t(d) = 0. Calculate d.
-5, -1
Suppose -z + 42 = 5*z. Let c be ((-12)/3)/(z/(14/(-44))). Determine d, given that 0*d - 2/11*d**2 - 6/11*d**4 - c*d**5 - 6/11*d**3 + 0 = 0.
-1, 0
Let s(v) be the second derivative of -v**4/48 + 9*v**3/8 - 13*v**2/4 + 28*v. Solve s(j) = 0 for j.
1, 26
Let f = -14/3419 + -2465029/17095. Let d = f - -145. Solve -2*u**3 + 0 + 14/5*u**2 - d*u = 0 for u.
0, 2/5, 1
Let o be (-1 + 1)/(15 + -20). Let a(r) be the first derivative of 4 - 1/3*r**3 - 3/4*r**2 + o*r. What is u in a(u) = 0?
-3/2, 0
Let m be (-2)/(-10) - 4/(-20). Let d(b) be the first derivative of b**4 - m*b**5 + 0*b**3 + 0*b - 3 + 0*b**2. Find t, given that d(t) = 0.
0, 2
Let h(z) be the second derivative of -z**4/84 + 29*z**3/21 - 841*z**2/14 + 20*z - 1. Factor h(x).
-(x - 29)**2/7
Let x(l) be the third derivative of -l**8/168 - 8*l**7/105 - 2*l**6/5 - 17*l**5/15 - 23*l**4/12 - 2*l**3 + 278*l**2. Factor x(m).
-2*(m + 1)**3*(m + 2)*(m + 3)
Suppose 4 = -3*r + u, -5*r + 16 = -u + 5*u. Suppose -2*t - 1 + 5 = r. Suppose 10*o**5 - 10*o**3 - 8*o**t - 14*o**3 - 6*o**4 + 0*o**5 = 0. What is o?
-1, -2/5, 0, 2
Suppose h + 4*c = 2*h, -2*h - 4*c + 12 = 0. Suppose -h*w + 24 = 4. Factor -4/9*m**4 - 2/9*m + 0 + 2/9*m**w + 0*m**3 + 4/9*m**2.
2*m*(m - 1)**3*(m + 1)/9
Let u(s) be the second derivative of 1/3*s**3 + 0 + 1/30*s**5 - 1/3*s**2 + 10*s - 1/6*s**4. Let u(l) = 0. Calculate l.
1
Let a(g) be the first derivative of -g**6/48 - g**5/80 + 8*g**3/3 + 13. Let j(f) be the third derivative of a(f). Factor j(k).
-3*k*(5*k + 1)/2
Let f(d) be the second derivative of -d**4/60 - d**3/5 - d**2/2 + 48*d. Factor f(s).
-(s + 1)*(s + 5)/5
Let j(r) be the first derivative of r**5/5 + 3*r**4/4 - 4*r**3/3 + 37. Solve j(y) = 0.
-4, 0, 1
Let m = -49268 + 246364/5. Find i, given that -m*i - 27/5 + 3/5*i**2 = 0.
-1, 9
Let s(d) = 19*d - 1135. Let b be s(60). Let f(c) be the third derivative of -12*c**2 + 0 - 1/900*c**6 - 2/45*c**3 + 0*c + 1/225*c**b + 1/180*c**4. Factor f(x).
-2*(x - 2)*(x - 1)*(x + 1)/15
Let o(m) be the second derivative of -m**4/12 + 4*m**3/3 - 6*m**2 - 13*m - 3. Suppose o(u) = 0. What is u?
2, 6
Suppose -g + 4 = g. Suppose -6*i + i - x + 18 = 0, 5*i - 21 = -g*x. Factor -2/11*r**5 - 8/11*r**4 + 0 - 2/11*r - 8/11*r**2 - 12/11*r**i.
-2*r*(r + 1)**4/11
Let g(c) be the second derivative of 4/5*c**2 - 2/15*c**4 + 2/15*c**3 - 18*c - 1/25*c**5 + 0. Factor g(o).
-4*(o - 1)*(o + 1)*(o + 2)/5
Let t = -39855/7 + 5695. Find c, given that 12/7 - t*c + 2/7*c**2 = 0.
2, 3
Let c(b) be the second derivative of -b**5/4 + 45*b**4/4 - 140*b**3 - 490*b**2 + 450*b. Find t, given that c(t) = 0.
-1, 14
Let p be ((-60)/(-50))/(32/20). Factor -1 + 1/4*i**4 + p*i**2 - i**3 + i.
(i - 2)**2*(i - 1)*(i + 1)/4
Let s(a) be the second derivative of a**4/12 + 19*a**3/6 - 20*a**2 + 27*a. Let d be s(-21). Determine w so that 3/5*w + 1/5*w**d + 2/5 = 0.
-2, -1
Factor -2*d**2 + 2 - 2/3*d + 2/3*d**3.
2*(d - 3)*(d - 1)*(d + 1)/3
Let p(g) be the first derivative of -2*g**6/3 - 4*g**5 + 2*g**4 + 112*g**3/3 + 16*g**2 - 128*g - 295. Let p(l) = 0. Calculate l.
-4, -2, 1, 2
Let t(q) = q**3 - q**2 + 1. Let p(f) = -4*f**4 + 23*f**3 - 35*f**2 - 1. Let a be (6 - 7)/(-2*1/2). Let k(c) = a*p(c) + t(c). Suppose k(b) = 0. What is b?
0, 3
Let c = -17 - -36. Let p = 21 - c. Factor 0*x**p + 6/5*x - 4/5 - 2/5*x**3.
-2*(x - 1)**2*(x + 2)/5
Suppose -5*m + 0*p = -4*p - 6, p = -m + 3. Factor -7*o - 2*o**2 - 9*o + o**m + 17*o**2 - 4*o**3.
-4*o*(o - 2)**2
Let s(p) be the first derivative of -5/2*p**2 - 1/8*p**4 - 2 + 0*p**3 + 0*p + 1/20*p**5. Let b(u) be the second derivative of s(u). Suppose b(i) = 0. What is i?
0, 1
Let j(d) be the first derivative of d**3/7 - 5*d**2/7 + 8*d/7 + 4. What is f in j(f) = 0?
4/3, 2
Let h be (-2)/(-16)*(-116)/(-377)*8. Factor -10/13*b**4 + 6/13*b**3 + 0*b + 0 + h*b**2.
-2*b**2*(b - 1)*(5*b + 2)/13
Suppose 12