e first derivative of l**6/30 - 8*l**5/25 + 9*l**4/10 - 16*l**3/15 + l**2/2 - 434. Suppose z(o) = 0. Calculate o.
0, 1, 5
Let v = 10481/42 + -1469/6. Solve v*d + 45/7*d**2 + 6/7 = 0.
-2/5, -1/3
Let b be (-1)/((-1)/10 - -3*19/(-30)). Let 3/4*a**2 + b - 5/4*a + 1/4*a**3 - 1/4*a**4 = 0. What is a?
-2, 1
Suppose 2/19*y**4 + 2/19*y**3 - 2/19*y**2 - 2/19*y + 0 = 0. What is y?
-1, 0, 1
Let q(f) be the second derivative of f**5/100 - 299*f**4/60 + 740*f**3 + 2250*f**2 + 533*f. Factor q(r).
(r - 150)**2*(r + 1)/5
Factor 33/5*i + 2*i**2 + 36/5 + 1/5*i**3.
(i + 3)**2*(i + 4)/5
Let d(k) be the first derivative of -1/2*k**5 + 1/2*k**2 + 15 + 0*k - k**4 - 1/6*k**3. Factor d(c).
-c*(c + 1)**2*(5*c - 2)/2
Let o(p) be the second derivative of 0 + 3/40*p**5 + 1/24*p**4 - 8*p - 1/6*p**3 + 0*p**2. Factor o(q).
q*(q + 1)*(3*q - 2)/2
Let r be (-2)/(-1 + 6/4). Let g = 4 - r. What is c in 8 - 3*c**2 + 6*c - g = 0?
0, 2
Let u(j) be the first derivative of 0*j**2 - 4/21*j**3 + 12 + 4/7*j. Determine d so that u(d) = 0.
-1, 1
Suppose 16*c + 84 = -44. Let u be 4 + c - 215/(-35). Solve 6/7 + 3/7*t**3 + u*t + 12/7*t**2 = 0 for t.
-2, -1
Let i(w) = 9*w**3 - w**2 + 20*w + 10. Let z(q) = 11*q**3 - q**2 + 21*q + 10. Let j(d) = -6*i(d) + 5*z(d). Let m be j(-4). Factor 2/3*f - 4/3 + 2/3*f**m.
2*(f - 1)*(f + 2)/3
Let w(q) be the third derivative of q**6/280 - q**5/140 - q**4/4 + 12*q**3/7 + 10*q**2 + q. Solve w(v) = 0.
-4, 2, 3
Let k = -19889/48944 + 45/112. Let y = 852/4807 - k. Factor 2/11*a**2 + 0 + y*a.
2*a*(a + 1)/11
Let g be (27 - 19)*1/2. Suppose 6 + 10 = g*f. Let 4/3*a**2 + 0*a**3 - 2/3*a**f + 0*a - 2/3 = 0. What is a?
-1, 1
Let h(k) be the third derivative of -k**8/504 - k**7/45 - 19*k**6/180 - 5*k**5/18 - 4*k**4/9 - 4*k**3/9 - 63*k**2. Factor h(s).
-2*(s + 1)**3*(s + 2)**2/3
Suppose 0 = 4*t - 16, -4*b - 4*t + 14 = -14. Solve 2*v**b + 16*v**2 - 432 - 34*v**2 + 216*v - 18*v**2 = 0 for v.
6
Let x be 72/((-5)/(-2) - 4). Let p = x - -241/5. Factor -1/5*i**2 + p + 0*i.
-(i - 1)*(i + 1)/5
Suppose 0 = -4*f - 4*x - 20, -4*x = -4*f - 0*x + 20. Suppose -4*n = -n. Factor 4*o + o**2 + f*o**2 + 3*o**2 + n*o**2.
4*o*(o + 1)
Let l = 224 + -220. Let m(w) be the third derivative of 0*w**l + 1/60*w**6 + 0*w**5 + 0*w + 1/42*w**8 + 1/21*w**7 + 2*w**2 + 0*w**3 + 0. Factor m(b).
2*b**3*(b + 1)*(4*b + 1)
Let v(m) be the first derivative of -m**3/12 + 7*m**2/2 + 15*m - 546. Factor v(g).
-(g - 30)*(g + 2)/4
Let s(n) = 91*n**2 + 39*n + 2. Let h(v) = -v - 2. Let b(q) = h(q) - s(q). Suppose b(t) = 0. Calculate t.
-2/7, -2/13
Let k be (1 + -4)/((-18)/24). Let 10*h**5 + k*h**4 - 8*h**2 + 17*h**5 + 4*h - 31*h**5 + 4*h**4 = 0. Calculate h.
-1, 0, 1
Solve -76/7 + 992/7*d + 169/7*d**3 - 3263/7*d**2 = 0 for d.
2/13, 19
Let a = -85645/3 + 28549. Suppose -4/3*u**2 - 2/3*u**3 + a*u + 4/3 = 0. What is u?
-2, -1, 1
Let k(f) be the third derivative of 0*f + 1/630*f**7 + 0 - 1/9*f**4 - 1/60*f**6 + 9*f**2 + 0*f**3 + 1/15*f**5. Factor k(s).
s*(s - 2)**3/3
Factor 12/11*k - 2/11*k**2 - 10/11.
-2*(k - 5)*(k - 1)/11
Determine m, given that -1/6*m**2 - 1/2*m + 5/3 = 0.
-5, 2
Let g(x) be the second derivative of 5*x**7/98 + 13*x**6/70 - 363*x**5/140 + 211*x**4/28 - 68*x**3/7 + 6*x**2 - 2*x - 251. Find t such that g(t) = 0.
-7, 2/5, 1, 2
Let p(f) be the second derivative of -f**7/14 - 7*f**6/5 - 6*f**5 + 36*f**4 + 216*f**3 - 1296*f**2 + 100*f. Factor p(j).
-3*(j - 2)**2*(j + 6)**3
Suppose 15*f - 29 = 1. Let o(p) be the second derivative of 6*p**2 - 3/10*p**6 - 6*p + 0 - 3/2*p**5 - 7/4*p**4 + f*p**3. Solve o(j) = 0.
-2, -1, 2/3
Let u(m) be the first derivative of m**5/5 - 21*m**4/4 + 33*m**3 + 121*m**2/2 - 111. What is i in u(i) = 0?
-1, 0, 11
Let u be (1/(-3))/((-6)/(-36)). Let k be (5 - -1)*u/(-4). Factor 0*x**2 - 3*x**2 - 3*x**4 + 3*x**3 + k*x**3.
-3*x**2*(x - 1)**2
Let u(s) = -4*s**2 - 18*s + 54. Let h(b) = -b**2 - 3*b. Let o(j) = 4*h(j) - 2*u(j). Let o(f) = 0. Calculate f.
-9, 3
Let m be (-2 - (0 + (-1 - 1)))/(-2). Let i(w) be the second derivative of 0*w**3 + m*w**2 - w + 1/10*w**6 + 0 + 1/2*w**4 - 9/20*w**5. Factor i(g).
3*g**2*(g - 2)*(g - 1)
Let w = 224/17 - 258703/19635. Let o(g) be the third derivative of w*g**7 + 0*g**3 - 1/66*g**4 + 0 + 4*g**2 + 0*g**6 - 1/110*g**5 + 0*g. Factor o(v).
2*v*(v - 2)*(v + 1)**2/11
Let c(a) = -2*a**2 - 7*a. Suppose -35 = q + 3*q + 5*o, q = -4*o - 17. Let m(j) = 4*j**2 + 13*j. Let p(x) = q*c(x) - 3*m(x). Factor p(i).
-2*i*(i + 2)
Let o be 2*(6/1 - 1). Let k = 183 + -180. Factor 6*y**2 + 3*y + o*y + 12 - y - k*y**2.
3*(y + 2)**2
Let z be 5/(45/6)*(1 + -4 + 9). Determine o so that -62/5*o**3 + 14*o**z - 8/5*o + 16/5 - 156/5*o**2 = 0.
-1, -2/5, 2/7, 2
Let d(r) be the third derivative of r**5/120 - 113*r**4/24 + 12769*r**3/12 + 110*r**2. Factor d(w).
(w - 113)**2/2
Suppose -2400*f + 2414*f - 42 = 0. Let x(b) be the second derivative of 125/2*b**2 + 0 + 25/3*b**f - 2*b + 5/12*b**4. Factor x(j).
5*(j + 5)**2
Find h such that 6*h**4 - 2*h**4 - h**2 + 323*h**3 - 324*h**3 + h - 3*h**4 = 0.
-1, 0, 1
Suppose -9*g + 3 = 3*v - 0, g - v = -1. What is z in 2/9 - 4/9*z**2 + g*z**3 + 2/9*z**4 + 0*z = 0?
-1, 1
Let f(j) = 3*j**3 - 3*j**2 - 6*j + 7. Let z(l) = 3*l**3 - 3*l**2 - 6*l + 6. Let d be (28/21)/((-2)/15). Let r = 16 + d. Let a(y) = r*f(y) - 7*z(y). Factor a(w).
-3*w*(w - 2)*(w + 1)
Let c(p) = -17*p + 52. Let s(x) = 9*x - 26. Let h(y) = 6*c(y) + 11*s(y). Let f be h(8). Factor -1/4*j**f + 3/4 - 1/2*j.
-(j - 1)*(j + 3)/4
Let v(i) be the third derivative of i**9/272160 - i**8/90720 + 11*i**5/60 + 9*i**2. Let p(j) be the third derivative of v(j). Determine k so that p(k) = 0.
0, 1
Let a be (-4)/(-5) - 121/(-55). Suppose -2*k + 30 = a*k. Let u(c) = c**2 - 2*c - 1. Let y(q) = 3*q**2 - 7*q - 3. Let w(m) = k*y(m) - 21*u(m). Factor w(v).
-3*(v - 1)*(v + 1)
Suppose 18*d + 5*d = 124 - 32. Solve -1/2*o**3 - 1/2*o**d + 1/2*o**5 + 0*o + 1/2*o**2 + 0 = 0 for o.
-1, 0, 1
Solve q + q**2 + 0 - 1/4*q**4 - 1/4*q**3 = 0 for q.
-2, -1, 0, 2
Let i(r) = r + 6. Let v = -193 + 190. Let m be i(v). Suppose -3/7*j**4 + 6/7*j**m + 0*j**2 + 0*j + 0 - 3/7*j**5 = 0. Calculate j.
-2, 0, 1
Suppose 2*q - 8 = 0, -2*v = q - 4 - 4. Determine t so that 28*t**4 + 108 - 108*t - 15*t**5 + 26*t**5 - 7*t**5 - 72*t**v + 40*t**3 = 0.
-3, 1
Let r(l) be the first derivative of 121*l**6/72 + 143*l**5/3 + 5545*l**4/12 + 13400*l**3/9 - 2720*l**2/3 + 512*l/3 - 85. Factor r(p).
(p + 8)**3*(11*p - 2)**2/12
Let p(y) be the third derivative of y**6/45 - 53*y**5/30 + 130*y**4/3 + 400*y**3/9 + 74*y**2. Determine f, given that p(f) = 0.
-1/4, 20
Let k(z) be the second derivative of 2*z**7/21 - 16*z**6/15 + 21*z**5/5 - 22*z**4/3 + 16*z**3/3 - 34*z. Determine j, given that k(j) = 0.
0, 1, 2, 4
Let w = 261 + -240. Let d be 6 - 2 - w/9. Find j such that 10/3*j**2 + 0 - 25/3*j**3 - d*j**5 + 20/3*j**4 + 0*j = 0.
0, 1, 2
Let z be -7 + (-185)/(-10) + (3 - (0 - -11)). Factor -2*u - 8*u**2 - z*u**3 + 0.
-u*(u + 2)*(7*u + 2)/2
Let k(t) be the third derivative of -t**8/1008 + 11*t**7/630 - t**6/24 - 3*t**5/20 - t**2 - 105*t. Find w, given that k(w) = 0.
-1, 0, 3, 9
Let d(z) be the first derivative of 1/2*z**4 - 4*z - 2*z**3 - 5*z**2 + 2/5*z**5 + 9. Factor d(b).
2*(b - 2)*(b + 1)**3
Let q be (5/1)/(-1*(-3)/6). Factor 3 + 2*m**2 - 7*m**2 - 5 - q*m - 3.
-5*(m + 1)**2
Let q be (16/10)/(6/(-45)). Let s = 14 + q. Suppose 2*l**4 + 2*l - 12 + 2*l**3 + s*l**3 - 6*l + 10 = 0. Calculate l.
-1, 1
Let m(o) be the third derivative of 16*o**2 + 0*o - 2/7*o**3 + 2/21*o**4 - 1/105*o**5 + 0. Factor m(t).
-4*(t - 3)*(t - 1)/7
Let q(j) = -13*j**5 - 9*j**4 + 11*j**3 + 5*j**2 - 14*j + 4. Let w(f) = -2*f**5 - f**4 - f**3 - f + 1. Let u(i) = -q(i) + 4*w(i). Factor u(o).
5*o*(o - 1)**2*(o + 1)*(o + 2)
Let q(v) = -v**2 - 18*v + 25. Let m(g) = 3*g**2 + 36*g - 53. Let p(z) = -6*m(z) - 14*q(z). Solve p(x) = 0.
1, 8
Let g(h) be the third derivative of h**10/37800 + h**9/7560 - h**8/5040 - h**7/630 - 5*h**5/12 - 24*h**2. Let k(b) be the third derivative of g(b). Factor k(s).
4*s*(s - 1)*(s + 1)*(s + 2)
Let v(q) = q**3 - q**2 - 2. Let h(g) = 8*g**3 - 4*g**2 - 20*g + 24. Let t(f) = h(f) + 4*v(f). Find a, given that t(a) = 0.
-4/3, 1
Factor 4/7*f**2 - 2*f + 8/7 + 2/7*f**3.
2*(f - 1)**2*(f + 4)/7
Factor 72*w**3 - 10*w**2 - 2*w**4 - 160*w**4 - 9*w**2 + 11*w**2.
-2*w**2*(9*w - 2)**2
Let 4*f + 79*