at 0 - 1/5*j**2 + 9/5*j = 0.
0, 9
Let o(x) be the second derivative of 0 - 3/8*x**3 + 3/40*x**5 + 18*x - 1/8*x**4 + 3/40*x**6 + 1/56*x**7 - 3/8*x**2. Let o(i) = 0. Calculate i.
-1, 1
Let y(m) be the second derivative of m**5/20 - m**3/3 + 19*m**2/2 - 5*m. Let a be y(0). Find l such that -6*l**2 + a*l - 4*l**3 + 6 - 38*l + 22*l + l**3 = 0.
-2, -1, 1
Let t(o) = -24*o**2 - 22*o - 45. Let f(w) = -39*w**2 - 33*w - 68. Let v(z) = 5*f(z) - 8*t(z). Factor v(x).
-(x - 5)*(3*x + 4)
Suppose -5*n = 2*c, 0*n + 3*c + 19 = 2*n. Suppose -21 = -5*m + 4*t, -3 + 2 = -m + 4*t. Find u, given that 6*u**2 - n*u**4 - 3*u + 3*u**m + 0*u**2 - 4*u**4 = 0.
-1, 0, 1
Let j(a) be the second derivative of -a**5/60 - a**2/2 - 25*a. Let l(q) be the first derivative of j(q). Let l(u) = 0. What is u?
0
Let x(j) be the second derivative of -j**7/4200 + j**6/600 - j**5/200 + 3*j**4/4 + 10*j. Let g(w) be the third derivative of x(w). Factor g(q).
-3*(q - 1)**2/5
Let x(t) be the third derivative of -t**7/630 + t**6/90 - t**5/90 - t**4/18 + t**3/6 - 12*t**2. Factor x(i).
-(i - 3)*(i - 1)**2*(i + 1)/3
Let n = 75 + -70. Let u(w) = -160*w**3 + 440*w**2 + 424*w - 176. Let y(t) = 29*t**3 - 80*t**2 - 77*t + 32. Let o(j) = n*u(j) + 28*y(j). Factor o(c).
4*(c - 4)*(c + 1)*(3*c - 1)
Let l(c) be the first derivative of -207*c**4/4 - 140*c**3 - 219*c**2/2 - 6*c + 72. Factor l(d).
-3*(d + 1)**2*(69*d + 2)
Let a(v) be the second derivative of v**4/42 + 48*v**3/7 + 5184*v**2/7 + 82*v. Find i such that a(i) = 0.
-72
Let c(s) = -3*s - 1. Let g(b) = 3*b**2 - 84*b + 177. Let z(o) = -3*c(o) - g(o). Find a such that z(a) = 0.
2, 29
Suppose 0 = m + 2, -4*m = 4*v + 8. Let y(b) be the third derivative of 0*b + v*b**5 + 0 + 1/180*b**6 + 0*b**4 - 3*b**2 + 0*b**3 - 1/315*b**7. Factor y(k).
-2*k**3*(k - 1)/3
Let b be -3*2/(-4) + (-72)/96. Factor 0 + 9/8*g**3 + b*g**2 + 0*g + 3/8*g**4.
3*g**2*(g + 1)*(g + 2)/8
Let i(u) be the first derivative of -2/21*u**3 + 0*u**2 - 3 + 1/14*u**4 + 0*u. Find m such that i(m) = 0.
0, 1
Suppose -43 = -4*n - 7. Factor -n*g**2 - 2*g**3 + 70 - 40 + g**2 - 34 - 10*g.
-2*(g + 1)**2*(g + 2)
Suppose -9*p**2 - p**3 - 7879*p**5 + 9*p**4 + 7867*p**5 + 13*p**3 = 0. What is p?
-1, 0, 3/4, 1
Let g(p) = 2*p**2 - 36*p + 3. Let f be g(18). Let w(v) be the second derivative of -6*v + 1/18*v**4 + 1/9*v**f + 0 + 0*v**2. Suppose w(b) = 0. Calculate b.
-1, 0
Determine v, given that 0 - 128/7*v - 4/7*v**2 = 0.
-32, 0
Factor 1/4*f**2 + 3 + 7/4*f.
(f + 3)*(f + 4)/4
What is f in 16/5*f + 0 - f**3 - 16/5*f**2 = 0?
-4, 0, 4/5
Let l(i) be the third derivative of 1/32*i**4 - 1/6*i**3 + 1/240*i**5 + 6 - 3*i**2 + 0*i. Factor l(w).
(w - 1)*(w + 4)/4
Let h(z) be the third derivative of -z**9/181440 - z**8/20160 - z**5/2 + 32*z**2. Let l(b) be the third derivative of h(b). Factor l(c).
-c**2*(c + 3)/3
Let x(y) = -19*y - 776. Let m be x(-41). Factor -4*c**2 - 8/3*c + 0 - 2*c**m - 1/3*c**4.
-c*(c + 2)**3/3
Let d(x) be the third derivative of 0 + 0*x**4 + 0*x + 9*x**2 + 1/84*x**8 + 4/105*x**7 + 0*x**3 + 0*x**5 + 0*x**6. Factor d(f).
4*f**4*(f + 2)
Let p = -198 + 202. Let n be p/1 + (-9 - -9). Factor 28/9*w**2 + 0 + 44/9*w**3 + 4/9*w + 20/9*w**n.
4*w*(w + 1)**2*(5*w + 1)/9
Let i(x) = x**3 - 12*x**2 - 28*x + 2. Let n be i(14). Let l = 3164/2645 + 2/529. Find b, given that l*b - 9/5 - 1/5*b**n = 0.
3
Factor 16/3*v - 4/3*v**2 + 0.
-4*v*(v - 4)/3
Factor -68*v**3 + 0*v - 86*v**2 + 54*v**3 - 38*v**2 - 96*v.
-2*v*(v + 8)*(7*v + 6)
Solve -377*o**3 - 56*o - 488*o + 218*o**4 - 381*o**3 + 128 - 50*o**5 + 914*o**2 + 92*o**4 = 0 for o.
1, 8/5
Let q(k) be the second derivative of k**5/20 - 65*k**4/12 - 675*k. Factor q(s).
s**2*(s - 65)
Factor -59*s**2 - 38*s + 103*s**2 + 720 - 274*s - 2*s**3.
-2*(s - 10)*(s - 6)**2
Suppose 5*z + 3*a + 3 = -2, 2*z = 4*a + 24. Suppose -5*b**z - 2 + 25 + 5*b**3 + 32 + 5 - 40*b = 0. Calculate b.
-3, 2
Let i(s) be the second derivative of 2*s**6/15 + 37*s**5/5 + 131*s**4 + 1870*s**3/3 + 1156*s**2 - 20*s. Let i(m) = 0. Calculate m.
-17, -2, -1
Let v(z) be the second derivative of -z**5/4 - 5*z**4/6 - 132*z. Factor v(q).
-5*q**2*(q + 2)
Let k(i) be the first derivative of -2*i**3/63 - 8*i**2/21 + 130. Find b, given that k(b) = 0.
-8, 0
Let q(p) = -p - 3. Let w be q(-11). Factor 3*f**2 + f + w*f - 4*f + 2*f**2.
5*f*(f + 1)
Let l(j) be the third derivative of -j**8/224 + 33*j**7/140 - 339*j**6/80 + 211*j**5/8 - 21*j**4 - 441*j**3 + 34*j**2. Solve l(u) = 0.
-1, 3, 14
Let i(f) be the first derivative of 0*f - 5 - 1/120*f**5 + 0*f**4 + f**3 - 1/360*f**6 + 0*f**2. Let x(t) be the third derivative of i(t). What is s in x(s) = 0?
-1, 0
Let k(a) be the third derivative of a**8/84 + 4*a**7/35 - a**6/2 + 8*a**5/15 + 217*a**2. Let k(z) = 0. What is z?
-8, 0, 1
Let i(k) = 2*k**4 + k**2 + k + 1. Let o(w) = -5*w**4 + 72*w**3 - 355*w**2 - 937*w - 508. Let r(j) = -i(j) - o(j). Find d, given that r(d) = 0.
-1, 13
Determine b so that -5/2*b**3 - 16*b + 6/5 + 127/10*b**2 = 0.
2/25, 2, 3
Let h(k) be the first derivative of -1/5*k**5 + 0*k - k**2 + 10/3*k**3 - 21/8*k**4 + 7/12*k**6 + 19. Suppose h(t) = 0. What is t?
-2, 0, 2/7, 1
Let h(f) be the second derivative of -f**5/20 - 5*f**4/3 - 6*f**3 - 711*f. Factor h(k).
-k*(k + 2)*(k + 18)
Let z(o) = -5*o**3 + 140*o**2 + 2*o - 140. Let i(t) = -10*t**3 + 280*t**2 + 5*t - 280. Let w(y) = 3*i(y) - 5*z(y). Factor w(n).
-5*(n - 28)*(n - 1)*(n + 1)
Let x = 19 - 17. Let -7*k**4 + 4*k**4 + 8*k + 4*k - 36 + 27*k**x = 0. Calculate k.
-2, 1, 3
Let f(y) be the third derivative of y**7/280 - y**6/80 - 3*y**5/80 + 83*y**2. Factor f(a).
3*a**2*(a - 3)*(a + 1)/4
Let a(i) = 5*i + 62. Let f be a(-12). Let u(x) be the second derivative of -2/9*x**3 + 0*x**f + 6*x + 0 - 1/60*x**5 - 1/9*x**4. Determine q so that u(q) = 0.
-2, 0
Suppose 19 = -6*j + 1. Let z(r) = -1. Let g(v) = -v**2 + 2. Let l(f) = j*g(f) + 6*z(f). Determine m, given that l(m) = 0.
-2, 2
Let t(v) be the third derivative of v**7/630 - v**5/60 + v**4/36 - 136*v**2. Factor t(g).
g*(g - 1)**2*(g + 2)/3
Let z(l) = -2*l**5 - 16*l**4 + 3*l**3 + 67*l**2 - 43*l - 96. Let t(m) = m**5 + m**4 + m**3 + 3*m**2 + m. Let w(v) = 3*t(v) + z(v). Determine k so that w(k) = 0.
-2, -1, 2, 12
Let c(m) be the second derivative of -m**6/40 - m**5/12 + m**4/6 + 2*m**3/3 - m**2/2 - 5*m. Let i(q) be the first derivative of c(q). Factor i(u).
-(u - 1)*(u + 2)*(3*u + 2)
Suppose 25 = -10*w + 45. Suppose -5*j - 3 = -i, 4*i - w*j = -4*j + 12. Suppose -1/2*f**2 + 1/2 - 3/2*f**i + 3/2*f = 0. What is f?
-1, -1/3, 1
Let b(f) = f**3 - 3*f**2 - 29*f + 9. Let s be b(7). Let 13*q**4 + 222 - 9*q**5 - 60*q**3 - 30*q**s - 240 + 35*q**4 + 69*q = 0. Calculate q.
-1, 1/3, 1, 2, 3
Let y(o) = 480*o - 2400. Let v be y(5). Solve v - 2/9*w**3 - 8/9*w**2 - 8/9*w = 0 for w.
-2, 0
Let c(b) be the second derivative of b**7/7 - 58*b**6/75 + 43*b**5/25 - 2*b**4 + 19*b**3/15 - 2*b**2/5 - 4*b + 9. Find u such that c(u) = 0.
1/5, 2/3, 1
Let a(m) = 2*m**3 + m**2 - 1. Let b be a(1). Suppose -2*r - 2*o = -2, -5*o + b*o = -5*r + 29. Factor 0*g**2 + 0 + 0*g**r + 0*g**3 - 2/5*g**5 + 0*g.
-2*g**5/5
Let b(v) be the second derivative of 5/4*v**5 - 5/3*v**3 + 0 + 20*v - 5/4*v**4 + 0*v**2. Factor b(m).
5*m*(m - 1)*(5*m + 2)
Let w be (1 + 0)/((-2)/(-14)). Suppose -255 + 147 = -9*j. Factor 2*i**4 - 32 + w*i - j*i - 27*i + 8*i**3.
2*(i - 2)*(i + 2)**3
Factor 7218312/5*t + 161604/5*t**2 + 120906726/5 + 6/5*t**4 + 1608/5*t**3.
6*(t + 67)**4/5
Let p(z) = 2*z**5 - 8*z**4 + 3*z**3 + 29*z**2 + 19*z. Let y(v) = -3*v**5 + 8*v**4 - 3*v**3 - 30*v**2 - 20*v. Let b(t) = 4*p(t) + 3*y(t). Factor b(h).
-h*(h - 2)*(h + 1)**2*(h + 8)
Let j(h) be the third derivative of 10*h**2 + 1/24*h**6 + 5/12*h**5 + 5/3*h**4 + 0*h + 0 + 10/3*h**3. Solve j(f) = 0.
-2, -1
Suppose 13*s + 6 - 32 = 0. Factor -2/3*q**s - 4/3*q - 2/3.
-2*(q + 1)**2/3
Let z(d) be the second derivative of -d**7/63 + d**6/5 - 13*d**5/15 + 17*d**4/9 - 7*d**3/3 + 5*d**2/3 + 94*d + 3. Determine a, given that z(a) = 0.
1, 5
Let w(j) be the second derivative of j**6/10 - 3*j**5/4 - 3*j**4/4 + 13*j**3/2 + 15*j**2 - 3*j + 19. Factor w(p).
3*(p - 5)*(p - 2)*(p + 1)**2
Let k(i) be the second derivative of -i**7/336 - 7*i**6/60 - 97*i**5/160 + 667*i**4/48 - 799*i**3/12 + 289*i**2/2 - 439*i. Factor k(u).
-(u - 2)**3*(u + 17)**2/8
Let f(v) be the first derivative of v**5