i + 2/3*i**2 + 0 - k*i**3 + 2/9*i**4.
2*i*(i - 1)**3/9
Let p(u) be the third derivative of -u**6/420 + u**5/210 + u**4/42 - 244*u**2. Let p(w) = 0. Calculate w.
-1, 0, 2
Let u(i) be the first derivative of -3*i**5/10 - 9*i**4/4 - i**3/2 + 18*i**2 + 30*i + 227. Solve u(k) = 0.
-5, -2, -1, 2
Let o(x) = 102*x - 102. Let f be o(1). Find y such that f*y - 2/5*y**4 + 0 + 8/5*y**3 - 8/5*y**2 = 0.
0, 2
Find r, given that -200*r + 1410 + 1172 - 82 + 4*r**2 = 0.
25
Suppose -45/2*f**4 + 1049760*f + 1/8*f**5 + 1620*f**3 - 58320*f**2 - 7558272 = 0. What is f?
36
Let a be (-2 - -6) + (236/40 - 9). Let i(u) be the second derivative of -a*u**5 + 0 + 5*u - 1/21*u**7 - 2/3*u**3 + 7/6*u**4 + 0*u**2 + 1/3*u**6. Factor i(m).
-2*m*(m - 2)*(m - 1)**3
Let f be (-2)/((-3)/1*3/9). Suppose 1 + 9 - 3*v**f - 3*v + 0*v**2 - 4 = 0. What is v?
-2, 1
Determine u, given that 0*u + 4/3*u**4 - 40/3*u**3 + 32/3*u**2 + 0 + 4/3*u**5 = 0.
-4, 0, 1, 2
Suppose -6*v + 7*v - w = 3, -3*v + 9 = -14*w. Factor -2/5*d**2 - 1/5*d**v + 0 + 0*d.
-d**2*(d + 2)/5
Let s(a) be the second derivative of a**4/3 + 64*a**3 - 194*a**2 - 3*a + 36. Find q, given that s(q) = 0.
-97, 1
Solve 0 + 2/17*d - 6/17*d**2 = 0.
0, 1/3
Let k(o) be the second derivative of -5*o**8/1344 - o**7/84 - o**6/144 - 29*o**4/12 + 6*o. Let m(s) be the third derivative of k(s). Factor m(i).
-5*i*(i + 1)*(5*i + 1)
Let w(j) = j**4 - j**3 - 2*j - 1. Let q(c) = 6*c**5 - 4*c**4 - 10*c**3 + 8*c**2 + 12*c + 6. Let p(n) = q(n) + 6*w(n). Suppose p(a) = 0. Calculate a.
-2, 0, 2/3, 1
Let f = 12 - 10. Suppose -4*i = 4*a + 4 + 4, i - 3*a = 18. Suppose -2 - i*g**f - 5*g**2 - 9*g + 6 + 5*g = 0. What is g?
-1, 1/2
Let s(u) be the second derivative of u**5/30 + 17*u**4/90 - 44*u**3/45 - 4*u**2/3 - 171*u. Let s(l) = 0. Calculate l.
-5, -2/5, 2
Factor 675 + 3/4*m**4 + 93/2*m**3 + 1395*m + 3063/4*m**2.
3*(m + 1)**2*(m + 30)**2/4
Suppose 0 = x + 9 - 20. Suppose 2*l**2 + 4*l**2 - x + 13*l - 7*l**2 - l = 0. What is l?
1, 11
Let 13*a**2 - 12 + 22*a + 20*a + 16*a**3 - 16*a + 15*a**2 - 10*a**3 = 0. What is a?
-3, -2, 1/3
Let w be -1 + 20 - (2 + -2). Suppose -2*b + w = 3*n + 2*n, 2*b + 5 = 3*n. Find f such that n*f**2 + 3*f + 0 + 0 + 0 = 0.
-1, 0
Factor 45 + 3/2*f**4 - 213/2*f + 159/2*f**2 - 39/2*f**3.
3*(f - 6)*(f - 5)*(f - 1)**2/2
Let m be 4/(3/((-39)/(-26))). Suppose 25/6 - 5/3*g + 1/6*g**m = 0. What is g?
5
Suppose -52 - 38 = -5*i. Let d be i/27*((-3)/4)/(-1). Factor 0*s + 0*s**3 - d*s**4 + 0 + 0*s**2.
-s**4/2
Let l(v) = -9*v**5 + 6*v**3 + 12*v**2 - 9*v - 6. Let w(q) = q**5 + q**3 - q**2. Let m(o) = l(o) + 6*w(o). Factor m(p).
-3*(p - 2)*(p - 1)*(p + 1)**3
Let m(b) be the first derivative of 2*b**7/357 - b**6/85 + b**5/170 - 11*b + 10. Let a(h) be the first derivative of m(h). Suppose a(d) = 0. Calculate d.
0, 1/2, 1
Suppose -4*t + 5 + 4 = 3*u, -6 = t - 2*u. Determine l, given that -2/3*l**2 + t + 0*l - l**5 + 1/3*l**3 + 4/3*l**4 = 0.
-2/3, 0, 1
Let b = 4/711 - -85276/7821. Suppose -20/11*t**4 + 72/11*t + 0 - b*t**2 + 74/11*t**3 + 2/11*t**5 = 0. What is t?
0, 2, 3
Let p(r) be the first derivative of -96*r**3 - 72*r**2 + 11 - 39*r**4 - 27/5*r**5 + 48*r. Solve p(h) = 0.
-2, 2/9
Let j(p) = 11*p + 200. Let s be j(-18). Solve 49/2 + 7*i + 1/2*i**s = 0.
-7
Let s(q) be the third derivative of -q**6/24 + q**5/6 + 5*q**4/6 - 20*q**3/3 + 30*q**2. Solve s(n) = 0.
-2, 2
Let m(q) be the third derivative of -q**6/720 + 17*q**5/120 - 13*q**4/3 - 169*q**3/9 - 85*q**2 - 2. Determine x, given that m(x) = 0.
-1, 26
Let v(f) be the third derivative of -f**6/100 - 13*f**5/50 + f**4/20 + 13*f**3/5 - 17*f**2 - 5. Find j such that v(j) = 0.
-13, -1, 1
Let w(r) be the first derivative of 5*r**4/22 + 8*r**3/11 + 4*r**2/11 - 39. Suppose w(m) = 0. Calculate m.
-2, -2/5, 0
Let b(p) = p**3 + 10*p**2 + 16*p + 4. Let n be b(-8). Let g be (56/98)/(n/14). Factor 0 + 1/3*r**4 - 1/3*r**g + 0*r - 1/3*r**5 + 1/3*r**3.
-r**2*(r - 1)**2*(r + 1)/3
Suppose 10*a**2 + 55*a**2 + 318*a**3 - 96*a**3 - 17*a**2 + 27*a**4 = 0. Calculate a.
-8, -2/9, 0
Let c(r) be the second derivative of -r**6/2340 - r**5/780 - 2*r**3/3 + 4*r. Let a(s) be the second derivative of c(s). Factor a(u).
-2*u*(u + 1)/13
Factor -59*b + 16 + 107*b - 2*b**2 - 52*b.
-2*(b - 2)*(b + 4)
Let f(d) be the third derivative of 0 + 0*d**3 - 5/336*d**8 + 0*d**4 + 0*d**7 + 1/8*d**6 - d**2 + 1/6*d**5 + 0*d. Factor f(j).
-5*j**2*(j - 2)*(j + 1)**2
Let -5*s**4 - 77*s + 131*s - 27*s**2 + 1 - 1 + 6*s**4 = 0. What is s?
-6, 0, 3
Let g = 101 + 50. Let c = -151 + g. Solve 1/4*n - 1/4*n**3 + c*n**2 + 0 = 0 for n.
-1, 0, 1
Let d(o) = 7*o**3 + 16*o**2 + 108*o + 144. Let w(b) = -29*b**3 - 64*b**2 - 436*b - 576. Let z(m) = 25*d(m) + 6*w(m). Factor z(k).
(k + 4)*(k + 6)**2
Let v(m) be the second derivative of 32/3*m**3 - 26/9*m**4 - 1/45*m**6 + 2/5*m**5 + 0 - 64/3*m**2 - 18*m. Factor v(d).
-2*(d - 4)**2*(d - 2)**2/3
Let u = -5404/5 - -1082. Factor u*n**2 - 8/5 + 2/5*n**3 + 0*n.
2*(n - 1)*(n + 2)**2/5
Let p be (-1 - (-3 - 1)) + 36/(-15). Suppose 8 = -m + 4*l, -2*m - 2*l + 4*l - 4 = 0. What is n in 3/5 + m*n - p*n**2 = 0?
-1, 1
Let r be 2 + (-2*(-1)/(-2))/1. Let u be (r - (-5)/(-6)) + 2/6. Find d such that 1/4*d**3 - u + 0*d**2 - 3/4*d = 0.
-1, 2
Let j be (-13)/(-5) - 4/(-10). Suppose -j*g = -14 + 5. Factor -2*d**2 + 2 - 2*d - 12*d**3 + 6*d**3 + 0*d**g + 8*d**3.
2*(d - 1)**2*(d + 1)
Let k be (-180)/(-144) - (-1)/(-5 - -1). Let x be (0 - k)*(-4 - 4) + -3. Determine g so that 1/2*g**2 + 0 + 0*g - g**x - 1/2*g**4 + g**3 = 0.
-1, -1/2, 0, 1
Factor -4*p**2 + 1/3*p + 46/3*p**3 + 0 + 25/3*p**5 - 20*p**4.
p*(p - 1)**2*(5*p - 1)**2/3
Let d(y) = 6*y**4 - 3*y**3 - 15*y**2 + 6*y - 3. Let o(w) = w**4 - w**3 - 2*w**2 - 1. Let l(f) = -d(f) + 3*o(f). Determine v so that l(v) = 0.
-2, 0, 1
Let v(f) be the first derivative of -f**3 - 9*f**2/2 + 138. Factor v(b).
-3*b*(b + 3)
Let m(l) = -5*l**2 + 2*l - 2. Let b = -24 + 26. Let o(u) = 16*u**2 - 7*u + 7. Let d(s) = b*o(s) + 7*m(s). Find x, given that d(x) = 0.
0
Factor -3*q**2 + 154 + 160 - 308 - 3*q.
-3*(q - 1)*(q + 2)
Let g(i) = -i**3 - 19*i**2 - 17*i + 22. Suppose 2*d + 62 = -4*b, b + 30 + 8 = 4*d. Let f be g(b). Factor -1/5 + 4/5*n**f - 4/5*n - 3/5*n**2 + 4/5*n**3.
(n - 1)*(n + 1)*(2*n + 1)**2/5
Let o = 21 - 19. Find p such that -o*p**3 + p + 4 - 3 + p**3 + 0*p - p**2 = 0.
-1, 1
Suppose 0 - c - 1/2*c**2 = 0. What is c?
-2, 0
Let s(o) = -2*o**3 - 20*o**2 - 10*o - 352. Let b be s(-11). Let 32/7*a**2 + 18/7*a**4 + b*a + 0 + 48/7*a**3 + 2/7*a**5 = 0. Calculate a.
-4, -1, 0
Let u(l) be the third derivative of 0*l**4 + 9*l**2 + 1/168*l**8 - 1/60*l**6 + 0*l**3 + 0 + 0*l + 1/105*l**7 - 1/30*l**5. Let u(v) = 0. What is v?
-1, 0, 1
Let l(q) = 8*q - 42. Let a be l(7). Let o(m) = m**2 - 16*m + 31. Let k be o(a). Factor 1/7*j**k + 0 + 0*j + 1/7*j**2.
j**2*(j + 1)/7
Let s be 40/18*1 - 2. Let z be (-17)/((-459)/(-177)) - -1*7. Let -s - z*q + 2/3*q**2 = 0. What is q?
-1/3, 1
Let f(v) = -v**3 - 7*v**2 + v + 13. Let j be f(-7). Let a(w) = -3*w**2 + 107 + j*w**2 - 101. Let q(k) = -1. Let t(r) = -a(r) - 6*q(r). Factor t(p).
-3*p**2
Let k(v) be the second derivative of -3*v**5/80 - 29*v**4/48 + 43*v**3/24 - 11*v**2/8 + 94*v - 1. Factor k(o).
-(o - 1)*(o + 11)*(3*o - 1)/4
Factor -6/19*o**4 + 2/19*o**5 + 0*o**3 + 8/19*o**2 + 0*o + 0.
2*o**2*(o - 2)**2*(o + 1)/19
Let w(q) be the second derivative of 8*q**4 + q + 0 - 10*q**3 + 16/5*q**5 + 4*q**2. Factor w(n).
4*(n + 2)*(4*n - 1)**2
Suppose -l + 1908 = -10*l. Let x = l + 216. Determine w so that 6/5*w + 8/5*w**x - 4/5*w**3 - 2/5*w**5 - 8/5*w**2 + 0 = 0.
-1, 0, 1, 3
Let f(v) be the second derivative of -10/9*v**2 + 0 - 11/27*v**3 - 1/54*v**4 - 18*v. Suppose f(a) = 0. What is a?
-10, -1
Suppose 0*b**2 + 1 + b**2 + 2 - 2*b - 2 = 0. Calculate b.
1
Let x(k) be the third derivative of k**7/70 + k**6/5 + 3*k**5/10 - k**4 - 7*k**3/2 + 141*k**2. Solve x(q) = 0 for q.
-7, -1, 1
Determine t so that 1802/3*t - 578 + 2/9*t**3 - 206/9*t**2 = 0.
1, 51
Let j(m) = -7*m**2 + 7*m + 6. Let b = 111 + -57. Suppose 4*c = 6*c - b. Let s(w) = -48*w**2 + 48*w + 42. Let r(p) = c*j(p) - 4*s(p). What is l in r(l) = 0?
-1, 2
Let n(s) be the first derivative of -2*s**3 + 9/2*s**2 + 1/4*s**4 + 10 - 4*s. Factor n(d).
(d - 4)*(d - 1)**2
Let o(l) = 4*l + 11. Let y be o(4). Let t = -23 + y. Suppose 8*k**3 - k**5 + 3*k**5 - 7*