- 4)/4
Let z(b) be the third derivative of 1/39*b**3 + 13*b**2 + 1/390*b**5 + 0 + 0*b + 1/78*b**4. Let z(t) = 0. What is t?
-1
Let -3/2*p**2 + 1/2*p**3 + 35/2 - 33/2*p = 0. Calculate p.
-5, 1, 7
Let i(a) be the first derivative of 0*a**4 + 0*a**2 + a**5 - 4 - 10/3*a**3 + 5*a. Factor i(f).
5*(f - 1)**2*(f + 1)**2
Let j be ((-3)/12)/(-1)*(264/40 - 5). Suppose j*y + 12/5*y**2 + 8/5*y**5 + 0 + 24/5*y**4 + 26/5*y**3 = 0. Calculate y.
-1, -1/2, 0
Let g(h) be the second derivative of h**7/42 + 2*h**6/15 + 864*h. Factor g(f).
f**4*(f + 4)
Factor -113*a - 3*a**2 + a**2 - 32 + 129*a + 0*a**2.
-2*(a - 4)**2
Let r(m) be the first derivative of 4*m**5/5 - m**4 - 144. Suppose r(p) = 0. Calculate p.
0, 1
Let v = 1144 - 1138. Factor -9/2*j**2 + 3*j - 3/4*j**4 - 15/4*j**3 + v.
-3*(j - 1)*(j + 2)**3/4
Let r(u) be the first derivative of 3*u**6/70 + 39*u**5/140 + u**4/7 - 32*u - 31. Let v(x) be the first derivative of r(x). Factor v(o).
3*o**2*(o + 4)*(3*o + 1)/7
Let q(z) = -7*z - 2 - 13*z**2 + 9*z + 11*z + 2*z. Let s(p) = p**2 - p. Let g(l) = -2*q(l) - 22*s(l). Factor g(n).
4*(n - 1)**2
Suppose -96 + 76 = -5*k. Find y, given that 3894*y**3 + 0*y**4 - 3893*y**3 - y**k = 0.
0, 1
Let y(l) = 28*l. Let q be y(-1). Let o be (2 + 0)*(-7)/q. Factor 1/4 + o*u + 1/4*u**2.
(u + 1)**2/4
Let h = 184 + -124. Suppose -a + 3*j = -h, 0*a - 105 = -2*a + j. Solve -15*o**4 + 9*o - 6 + 24*o**2 - 3*o**2 - a*o**3 + 42*o**3 = 0.
-1, 2/5, 1
Let s(b) be the first derivative of -4*b - 20 + 5*b**2 + 1/2*b**4 - 8/3*b**3. What is u in s(u) = 0?
1, 2
Factor 2/7*l**3 - 2/7*l - 32/7*l**2 + 32/7.
2*(l - 16)*(l - 1)*(l + 1)/7
Let a(w) be the third derivative of -2*w**2 + 0*w + 0*w**3 + 1/360*w**5 + 1/144*w**4 + 0. Determine s, given that a(s) = 0.
-1, 0
Determine s so that -136*s**2 - 128*s**2 - 5*s**4 + 80*s + 5*s**5 - 60*s**3 + 244*s**2 = 0.
-2, 0, 1, 4
Let h(i) be the third derivative of i**5/300 + i**4/40 - 2*i**3/15 + 350*i**2. Factor h(l).
(l - 1)*(l + 4)/5
Let b(k) = k**2 - 4*k. Let q be b(6). Suppose -q*v = -7*v. Suppose 3*h**3 - 6/7*h + v - 15/7*h**2 = 0. Calculate h.
-2/7, 0, 1
Let n(t) be the first derivative of 11 + 8/9*t - 14/27*t**3 + 4/9*t**2 - 2/9*t**4 + 2/15*t**5. Solve n(s) = 0.
-1, -2/3, 1, 2
Let b = 26348/237213 - -1/26357. Solve -1/3*k**2 + b*k**3 + 0 + 2/9*k = 0.
0, 1, 2
Let a be 3 - (-3908)/(-1020) - (-2)/5. Let o = 722/255 + a. Determine p so that -7/5*p**2 + 4/5 + o*p = 0.
-2/7, 2
Let b(m) be the second derivative of -m**9/60480 + m**8/13440 - m**7/10080 + m**4/2 + 24*m. Let r(o) be the third derivative of b(o). Factor r(h).
-h**2*(h - 1)**2/4
Let f(t) be the third derivative of -t**7/42 + 2*t**6/3 - 21*t**5/4 - 10*t**4/3 + 160*t**3/3 - 556*t**2. Suppose f(a) = 0. What is a?
-1, 1, 8
Let k(v) be the second derivative of -3*v**5/4 + 5*v**4/12 + 20*v**3/3 + 10*v**2 + 30*v + 2. Suppose k(i) = 0. Calculate i.
-1, -2/3, 2
Suppose -3*k = 2*k + 5, 0 = 5*u - 3*k - 28. Let t(b) be the first derivative of u + 0*b**2 + 1/4*b**4 - 1/3*b**3 + 0*b. Find q, given that t(q) = 0.
0, 1
Let u(v) = -6*v - 61. Let k be u(-12). Suppose -10 = 5*s + 4*m, -m = 5*s - k + 6. Solve 0*h**3 + 0 + 0*h**s - 3/2*h**4 + 0*h = 0 for h.
0
Let v(l) be the first derivative of -3*l**4/20 + 9*l**3 + 279*l**2/10 + 141*l/5 - 411. Find n such that v(n) = 0.
-1, 47
Let h(y) be the first derivative of -y**5/70 + y**4/21 + 13*y - 16. Let a(x) be the first derivative of h(x). Factor a(n).
-2*n**2*(n - 2)/7
Suppose -1 = 2*i + q - 23, 0 = 4*i - 5*q - 44. Suppose i*h = 14*h - 6. Find k, given that 8/5 + 2/5*k**2 - 2/5*k**4 + 2/5*k**5 - h*k**3 + 16/5*k = 0.
-1, 2
Let q(h) be the second derivative of 0 + 41*h + 1/5*h**5 + 0*h**4 - 4/5*h**6 + 10/21*h**7 + 0*h**2 + 0*h**3. Factor q(f).
4*f**3*(f - 1)*(5*f - 1)
Solve 16 + 110/7*j - 2/7*j**2 = 0.
-1, 56
Let a(p) be the second derivative of 0 + p + 0*p**3 + 1/6*p**4 + 0*p**2 - 7/20*p**5. What is f in a(f) = 0?
0, 2/7
Let n(q) be the third derivative of 5*q**8/336 + 2*q**7/21 - 11*q**6/24 + q**5/2 + 12*q**2 + 4*q. Factor n(p).
5*p**2*(p - 1)**2*(p + 6)
Let s = 41 + -41. Solve s*q - 3*q - 2*q + q**2 = 0 for q.
0, 5
Let i(b) be the third derivative of -b**7/8820 - b**6/840 + b**4/4 + 15*b**2. Let p(f) be the second derivative of i(f). Factor p(j).
-2*j*(j + 3)/7
Factor 729/2 + 1/2*d**4 - 9*d**2 - 6*d**3 + 162*d.
(d - 9)**2*(d + 3)**2/2
Let x(t) be the first derivative of t**6/9 - 6*t**5/5 + 5*t**4/2 - 14*t**3/9 + 55. Determine f, given that x(f) = 0.
0, 1, 7
Let y(p) be the third derivative of -p**7/105 + p**5/6 - 4*p**3/3 + 162*p**2. What is s in y(s) = 0?
-2, -1, 1, 2
Let g(t) = -6*t**2 - 18*t + 20. Let m(s) = 8*s**2 + 19*s - 20. Let b(r) = 5*g(r) + 4*m(r). Factor b(o).
2*(o - 5)*(o - 2)
Let d(w) = -w**5 + 11*w**4 - 21*w**3 + 29*w**2 - 13*w. Let v(l) = l**5 - 12*l**4 + 20*l**3 - 28*l**2 + 12*l. Let j(a) = 4*d(a) + 3*v(a). Factor j(r).
-r*(r - 2)**4
Let p(q) be the third derivative of 32/3*q**3 - 1/30*q**6 + 0*q**5 + 0*q - 19*q**2 + 2*q**4 + 0. Let p(j) = 0. Calculate j.
-2, 4
Find v, given that 0 - 38/5*v + 93/5*v**2 - 2/5*v**4 - 33/5*v**3 = 0.
-19, 0, 1/2, 2
Let h(u) be the first derivative of 0*u - 5/7*u**2 + 2/21*u**3 - 5. Solve h(o) = 0.
0, 5
Let q(n) be the third derivative of -n**6/600 - 7*n**5/150 - 11*n**4/120 + 13*n**3/15 + 6*n**2. Let q(b) = 0. What is b?
-13, -2, 1
Let p(z) be the second derivative of -z**6/10 - 9*z**5/16 - 3*z**4/4 + z**3/2 + 643*z. Let p(m) = 0. Calculate m.
-2, 0, 1/4
Let i = 1167 - 1167. Let q(s) be the third derivative of 0 + i*s - 1/32*s**4 + 0*s**3 - 1/120*s**5 + 1/480*s**6 - 12*s**2. What is x in q(x) = 0?
-1, 0, 3
Let v(p) be the first derivative of p**6/2 + 4*p**5/5 - 4*p**3/3 - 3*p**2/2 - 6. Let y(g) = g**5 + g**4 - g**2 - g. Let l(h) = 3*v(h) - 6*y(h). Factor l(k).
3*k*(k - 1)*(k + 1)**3
Let s(q) be the second derivative of -q**4/6 - 25*q**3/3 - 24*q**2 + q. Let s(n) = 0. Calculate n.
-24, -1
Factor -3/2*t**2 - 95256 - 756*t.
-3*(t + 252)**2/2
Let g be 6*((-1190)/(-51) + -23). Factor -2/9*c**g - 1/9*c + 1/3.
-(c - 1)*(2*c + 3)/9
Let u(f) be the first derivative of -f**7/42 + f**6/12 - f**5/12 - 3*f**2/2 - 31. Let h(j) be the second derivative of u(j). Let h(x) = 0. What is x?
0, 1
Factor 4*q**5 + 52*q - 6*q**3 - 40*q**2 - 3*q**4 - 27 + 15*q**4 + 32*q - 18*q**3 - 9.
4*(q - 1)**3*(q + 3)**2
Suppose -3*r = 4*h - 0*r - 20, -2*h - 8 = -3*r. Let b(a) be the first derivative of 5*a**2 - 2*a**4 - 2*a**2 + 2*a**3 + 4 - h*a**2. Factor b(d).
-2*d*(d - 1)*(4*d + 1)
Let m = -32 + 35. Factor -2*g**m + 27*g - g**3 - 2*g**2 + 4*g**2 + 7*g**2 + 15.
-3*(g - 5)*(g + 1)**2
Let 21*m**2 - 2*m**3 + 13*m - 13*m**2 - 19*m = 0. What is m?
0, 1, 3
Let g be (16 + -13)*(22/(-3))/(-2). Let k be ((-11)/2)/g - -1. Determine w, given that 0 - k*w + 1/2*w**2 = 0.
0, 1
Let t(s) be the first derivative of 2*s**2 + 1/6*s**4 + s**3 - 5*s - 1. Let c(h) be the first derivative of t(h). Determine d, given that c(d) = 0.
-2, -1
Let h be 6/(-8) - ((-55)/20 - 1). Solve 0*i + 2/5*i**4 + 2/5*i**5 - 4/5*i**h + 0 + 0*i**2 = 0 for i.
-2, 0, 1
Let k(w) be the third derivative of -w**4/12 - 5*w**3/3 - 10*w**2. Let d be k(-6). What is c in d*c + 5 - 3*c**2 - 11 + 10*c - 6 = 0?
2
Let x(y) be the second derivative of -y**4/42 + y**3/3 - 10*y**2/7 + 661*y. Find t such that x(t) = 0.
2, 5
Let r(z) be the first derivative of -5/6*z**2 - 7/27*z**3 - z + 9 - 1/36*z**4. What is n in r(n) = 0?
-3, -1
Let a = 1243 + -1241. Let g(y) be the first derivative of 5/6*y**3 + 35/16*y**4 - 35/8*y**a - 5/2*y + 1. Factor g(m).
5*(m - 1)*(m + 1)*(7*m + 2)/4
Solve -1/5*m**4 + 0 + 3/5*m + 1/5*m**3 + m**2 = 0.
-1, 0, 3
Suppose 2*f + 3 + 1 = 4*h, 2*h = 4*f - 4. Let k(t) be the third derivative of 6*t**f + 1/20*t**5 + 0*t**3 + 0 + 0*t - 1/4*t**4. Factor k(o).
3*o*(o - 2)
Let a(x) be the first derivative of 2*x**3/3 + 96*x**2 + 4608*x + 198. Factor a(i).
2*(i + 48)**2
Let o = 318 - 314. Let g(k) be the first derivative of -3/22*k**o + 4/11*k - 3/11*k**2 - 16/33*k**3 - 3. Find m, given that g(m) = 0.
-2, -1, 1/3
Factor -139 - 5*t**2 - 110*t - 317 - 149 + 0.
-5*(t + 11)**2
Let m(y) be the first derivative of -2/5*y + 1/5*y**2 + 5 + 2/15*y**3 - 1/10*y**4. Factor m(f).
-2*(f - 1)**2*(f + 1)/5
Let y = 261/917 + 1/917. Find z, given that 4/7 - y*z**4 - 6/7*z - 2/7*z**2 + 6/7*z**3 = 0.
-1, 1, 2
Let c = -87/68 - -7137/