 1/20*g**5 + 0*g**3 + 0*g. Factor l(j).
j*(3*j - 1)
Suppose 2/5*p**3 + 0 - 18/5*p**2 + 16/5*p = 0. Calculate p.
0, 1, 8
Let l be ((-4)/8)/1*-4. Factor -11*m**2 + 2*m**4 + 0*m**l + 3*m**4 - 9*m**2.
5*m**2*(m - 2)*(m + 2)
Let d(x) be the first derivative of 0*x - 16 + 2/33*x**3 - 1/11*x**2. Factor d(h).
2*h*(h - 1)/11
Let k(h) be the second derivative of h**7/4200 + h**6/1800 - 5*h**3/2 + 17*h. Let a(b) be the second derivative of k(b). What is t in a(t) = 0?
-1, 0
Factor 0 - 4608/23*q - 2/23*q**3 - 192/23*q**2.
-2*q*(q + 48)**2/23
Let z(y) be the second derivative of y**5/5 - y**4 - 2*y**3/3 + 6*y**2 - 2*y + 40. Determine w, given that z(w) = 0.
-1, 1, 3
Let i(u) be the first derivative of 7 + 0*u**2 + 0*u**4 - 2/65*u**5 + 4/39*u**3 - 2/13*u. Determine c, given that i(c) = 0.
-1, 1
Let h(r) be the first derivative of 40 - 4/3*r**3 + r**4 + 4*r - 2*r**2. Factor h(a).
4*(a - 1)**2*(a + 1)
Let f be (-55)/11 + 11 + 4. Let 7/3*t**3 + 12*t - f*t**2 - 8/3 = 0. What is t?
2/7, 2
Let d(c) be the second derivative of -3*c**5/20 - 11*c**4/4 - 35*c**3/2 - 75*c**2/2 + c + 43. Solve d(v) = 0.
-5, -1
Let n(w) be the third derivative of 3/40*w**4 + 1/100*w**5 - 3/200*w**6 - 31*w**2 + 1/350*w**7 - 1/5*w**3 + 0*w + 0. Solve n(s) = 0 for s.
-1, 1, 2
Find w such that -w - 8*w**3 - 4*w**3 + 9*w - 5*w**2 + w**2 + 4*w**5 + 4*w**4 = 0.
-2, -1, 0, 1
Factor 0 - 27/4*o**3 + 81/4*o**2 - 81/4*o + 3/4*o**4.
3*o*(o - 3)**3/4
Let p be -3*-2*(-3)/(-9). Determine r, given that -r**4 + r**5 - p*r - r**5 - 3*r**4 + 4*r**2 + 2*r**5 = 0.
-1, 0, 1
Let u be (0 + (-3)/(-9))*15. Let a be ((-48)/60)/((-2)/u). Factor -3 - x**2 - 8*x + 2*x - a*x**2 + 0.
-3*(x + 1)**2
Let c(l) = -l**3 + 8*l. Let u be c(-3). Let 15*q**4 + 20*q - 10*q**4 + 41 - 1 - 30*q**2 - 5*q**u = 0. What is q?
-2, -1, 2
Let y(x) be the first derivative of 4*x**3/3 - 46*x**2 - 96*x - 145. Suppose y(w) = 0. Calculate w.
-1, 24
Let c(d) = -d**5 - d**4 + d**3 + d**2 + 1. Let t(o) = 6*o**5 + 38*o**4 + 58*o**3 - 118*o**2 - 288*o - 146. Let k(p) = -2*c(p) - t(p). Let k(a) = 0. Calculate a.
-6, -3, -1, 2
Let z be (52/78)/((-20)/(-18)). Let n(s) be the first derivative of -s**3 + z*s**5 + 0*s**4 + 0*s - 9 + 0*s**2. Factor n(w).
3*w**2*(w - 1)*(w + 1)
Let p(t) = -6*t**2 - 10*t + 2. Let i(z) = -z**2 - z. Suppose l = -4*l - 25. Let c(x) = l*p(x) + 35*i(x). Factor c(y).
-5*(y - 2)*(y - 1)
Let s(b) be the second derivative of b**6/25 - b**4/10 - 29*b. Suppose s(t) = 0. Calculate t.
-1, 0, 1
Let g(l) be the third derivative of l**5/20 - 3*l**4 - 133*l**2. Factor g(f).
3*f*(f - 24)
Suppose 0 = -2*k + 2*z - 12, 2*z + 53 - 65 = -3*k. Solve k - 2/19*v**2 + 4/19*v - 2/19*v**3 = 0 for v.
-2, 0, 1
Let h(r) be the first derivative of 5*r**4/24 + 22*r**3/9 + 28*r**2/3 + 32*r/3 - 630. Factor h(n).
(n + 4)**2*(5*n + 4)/6
Let a be 2/28*(15 + 27/(-6)). Determine p so that 1/4*p**3 + a*p**2 + 3/4*p + 1/4 = 0.
-1
Let i(h) be the first derivative of -h**5/10 - h**4/3 - 7*h - 15. Let r(o) be the first derivative of i(o). Suppose r(a) = 0. What is a?
-2, 0
Suppose 2*q + 5 = 3*u + 4, -q = -3*u + 2. Let w be (4/(-24))/q*-3. Factor 2/3*v**3 - 2/3*v + w*v**2 - 2/3 + 1/6*v**4.
(v - 1)*(v + 1)*(v + 2)**2/6
Let y(t) be the first derivative of -2*t**3/3 + 37*t**2/2 - 83*t - 3. Let f(m) = 5*m**2 - 75*m + 165. Let o(g) = -3*f(g) - 5*y(g). Factor o(h).
-5*(h - 4)**2
Let l = -27 - -33. Let o(d) be the second derivative of 1/10*d**5 + 1/2*d**4 - 3*d - 1/15*d**l - 1/3*d**3 + 0 - 2*d**2. Suppose o(g) = 0. Calculate g.
-1, 1, 2
Factor -48*x**3 + 35*x + 288 - 101*x**4 - 286*x**2 + 13*x + 99*x**4.
-2*(x - 1)*(x + 1)*(x + 12)**2
Let c be (0 + 1/3)*(4 - 4). Let x be c + 5/((-10)/(-6)). Factor 1/3*r**2 - 1/3*r**x + 0*r + 0.
-r**2*(r - 1)/3
Let s(b) be the first derivative of -7*b**8/48 + 25*b**7/24 - 11*b**6/9 + b**5/2 + 23*b**3/3 + 12. Let q(c) be the third derivative of s(c). Factor q(k).
-5*k*(k - 3)*(7*k - 2)**2
Let s(o) be the second derivative of 18*o**7/7 + 168*o**6/5 + 2919*o**5/20 + 873*o**4/4 + 108*o**3 + 24*o**2 - 14*o + 3. Let s(t) = 0. What is t?
-4, -1, -1/6
Factor 5*d**4 - 159*d**3 + 104*d**2 - d**4 + 219*d**3.
4*d**2*(d + 2)*(d + 13)
Factor 14/13*j**2 - 108/13*j - 32/13.
2*(j - 8)*(7*j + 2)/13
Let n(p) be the first derivative of -2*p**3/21 + 6*p**2/7 - 10*p/7 + 129. Find s, given that n(s) = 0.
1, 5
Let u(w) be the first derivative of w**4/14 - 60*w**3/7 + 2025*w**2/7 + 594. Factor u(j).
2*j*(j - 45)**2/7
Let t(r) = -r**2 + r + 4. Let w be t(3). Let d be ((-3)/(-3))/(w/(-32)). Factor -29*i**3 + 5*i**4 + d*i**2 - 3*i**4 + 19*i**3 - 8*i.
2*i*(i - 2)**2*(i - 1)
Let c(p) be the first derivative of p**6/18 - p**5/5 - p**4/12 + p**3/3 - 19. Suppose c(g) = 0. Calculate g.
-1, 0, 1, 3
Suppose 0 = -26*u + 115 + 15. Determine b, given that 0*b + 2/13*b**u - 2/13*b**4 + 0 - 2/13*b**3 + 2/13*b**2 = 0.
-1, 0, 1
Factor -1/2*k - 1/2*k**2 + 1/2*k**3 + 1/2.
(k - 1)**2*(k + 1)/2
Let o = -7 + 16. Let x = o + -3. What is b in -x*b + b**3 + 5*b + 2 - b**2 - b**2 = 0?
-1, 1, 2
Let m = -4 - 2. Let z(g) = 9*g**2 + 2*g - 7. Suppose v + 6 = r, 3*r - 2*v - 1 = 2*r. Let j(k) = 5*k**2 + k - 4. Let s(o) = m*z(o) + r*j(o). Solve s(a) = 0.
-1, 2
Let k(r) be the third derivative of 1/14*r**4 + 1/140*r**5 + 2/7*r**3 + 0 + 3*r**2 + 0*r. Factor k(h).
3*(h + 2)**2/7
Let d(y) be the third derivative of y**6/24 - 5*y**5/12 + 5*y**4/3 - 10*y**3/3 + 223*y**2. Factor d(p).
5*(p - 2)**2*(p - 1)
Let u be (-34)/8 + 3 - 273/(-52). Determine p, given that u*p + 6 + 2/3*p**2 = 0.
-3
Let m(k) be the first derivative of 3*k**5/7 + 111*k**4/28 - 26*k**3/7 - 24*k**2/7 - 161. Solve m(f) = 0.
-8, -2/5, 0, 1
Let h be 0 + 1 - -1167*(-4)/(-6). Find o such that -229 - h*o - 95 - 4*o**2 + 851*o = 0.
9
Let o(r) be the third derivative of r**5/210 - r**3/21 + 87*r**2. Let o(u) = 0. Calculate u.
-1, 1
Let r = 53 + -47. Factor -5*n**3 + 5*n**5 - r + 6 - 10*n**2 + 5*n**4 + 5*n**4.
5*n**2*(n - 1)*(n + 1)*(n + 2)
Let z(g) = 3*g**3 + 18*g**2 - g - 6. Suppose -i = -0*x - 5*x + 6, -i - 4*x = 6. Let y be z(i). Solve 8*s**3 - 8 + 12*s**2 + 3/2*s**4 + y*s = 0.
-2, 2/3
Suppose 2 + 3*u**2 + 4707*u - 9412*u + 4702*u - u**3 + 3*u**2 - 12 = 0. Calculate u.
-1, 2, 5
Let t = 143 + -139. Factor 3*u**2 + 5*u + 0*u**3 + 5*u**3 - t*u**2 + 11*u**2.
5*u*(u + 1)**2
Let m(w) be the second derivative of w**4/90 + 176*w**3/45 + 7744*w**2/15 + 210*w + 2. Factor m(f).
2*(f + 88)**2/15
Let t = -29/2 - -58/3. Let z = t - 25/6. Factor 4/3*y**2 - z*y**4 + 0 - 2/3*y**3 + 0*y.
-2*y**2*(y - 1)*(y + 2)/3
Suppose -3*n - 4 = -5*r, -3*n = -0*n - r + 8. Let o = n - -6. Find p such that 19*p**4 + 7*p**4 + p**o + 3*p**5 + 0*p**3 - 22*p**4 = 0.
-1, -1/3, 0
Let f be (-60)/15*30/(-24). Let p(g) be the first derivative of 0*g + g**6 - 1/2*g**4 + 0*g**2 - 8/5*g**f + 4/3*g**3 + 7. Let p(d) = 0. What is d?
-2/3, 0, 1
Let x(z) = -11*z**2 + 99*z - 193. Let r(k) = -13*k**2 + 97*k - 194. Let o(p) = -3*r(p) + 4*x(p). Suppose o(i) = 0. Calculate i.
2, 19
Let b(x) = -34*x + 140. Let g be b(4). Let l(a) be the first derivative of -3 - 1/12*a**g + 0*a**2 + 0*a - 2/9*a**3. Factor l(w).
-w**2*(w + 2)/3
Let p be -6*(-2)/4*7. Solve -16*b + 45*b**3 + 27*b**4 + 0*b - 42*b**2 + b + 24 - p*b = 0 for b.
-2, -1, 2/3
Let f(s) be the second derivative of -s**4/16 - 23*s**3/24 - 7*s**2/4 - 657*s. Determine r so that f(r) = 0.
-7, -2/3
Let p(t) be the second derivative of 3*t**5/95 - 5*t**4/114 - 8*t**3/19 + 20*t**2/19 - 16*t + 1. Factor p(d).
2*(d - 2)*(d + 2)*(6*d - 5)/19
Let o be (1872/4160)/(1/(0 + 8)). Determine z so that -4/5 + 2*z**3 - 2/5*z**4 - o*z**2 + 14/5*z = 0.
1, 2
Let q(i) = i**2 + i - 1. Let f(s) = -20*s**2 - 60*s - 25. Let x(d) = f(d) + 15*q(d). Suppose x(k) = 0. Calculate k.
-8, -1
Let a be 4 + 10/(-4)*4*(-2)/(-20). Determine z, given that 1/8*z**a + 1/4 - 3/8*z + 0*z**2 = 0.
-2, 1
Let d(s) = -s**2 - 5*s - 3. Let j be d(-3). Suppose -4*q + 8 = 4*o, -3*o + 1 = 2*q - 8. Solve -3*z**o - j*z**4 - 2*z**4 + 0*z**5 - 2*z**3 = 0.
-1, -2/3, 0
Let a(v) be the second derivative of v**4/4 - 5*v**3/2 - 21*v**2 - 109*v. Let a(y) = 0. Calculate y.
-2, 7
Factor -12/5 + 0*d**2 + 2/5*d**3 - 14/5*d.
2*(d - 3)*(d + 1)*(d + 2)/5
Let j = -8875/4 + 2220. Find x, given that -5/4*x**3 - x**4 + 1/4 + j*x + 3/4*x**2 = 0.
-1, -1/4, 1
Suppose 40/7*h**2 + 2/7*h**4 + 0*h + 2/7*h**5 - 32/7*h**3 + 0 