 second derivative of v(h). Let n(g) = 0. Calculate g.
1, 3
Let i(f) be the third derivative of -f**6/120 - 2*f**5/5 - 278*f**2. What is z in i(z) = 0?
-24, 0
Let d = -55091/7 + 7874. Factor -d*m**2 - 12/7 + 60/7*m.
-3*(m - 2)*(9*m - 2)/7
Let r be (-3)/3 - (-3 - 0). Factor -r*p + 0*p + 2*p**3 - 4*p**2 - 2*p + 2*p**2.
2*p*(p - 2)*(p + 1)
Let l(h) be the third derivative of h**5/60 + 5*h**4/24 - h**3 - 66*h**2. Factor l(g).
(g - 1)*(g + 6)
Determine l, given that 1/2*l**2 - 1/2*l**3 + 5/2*l + 3/2 = 0.
-1, 3
Let y(f) = 1 + f**2 + 263*f - 263*f. Let p(o) = o**3 + 5*o**2 - 3*o + 7. Let c(h) = -3*p(h) + 21*y(h). Determine b, given that c(b) = 0.
-1, 0, 3
Let x be 170/(0 - -5) + -6. Let v be -2*(-21)/(-6)*(-20)/x. Find h, given that 3/4*h + 0*h**4 + 1/4*h**v - 1/2 - h**3 + 1/2*h**2 = 0.
-2, -1, 1
Solve 24334 - 14*m**2 + 152*m**2 + 2*m**3 + 937*m + 0*m**3 + 2237*m = 0 for m.
-23
Let c(x) = x**3 - x**2 - x - 2. Let s(i) = -i**3 - 11*i**2 - i - 2. Let y(w) = -2*c(w) + 2*s(w). Suppose y(u) = 0. Calculate u.
-5, 0
Solve 59 - z**2 - 30*z**3 - 59 + 2*z**5 + z**2 - 4*z**4 = 0 for z.
-3, 0, 5
What is v in -7564/3*v + 122/3*v**3 + 1199*v**2 + 1/3*v**4 + 3844/3 = 0?
-62, 1
Factor 361*r - 40*r**2 - 493*r - 19*r**2 + 1728*r - 97*r**2 - 1444 + 4*r**3.
4*(r - 19)**2*(r - 1)
Let o be ((-44)/14 + 1)/(3 - 783/189). Factor 0 - 3/8*r - o*r**2.
-3*r*(5*r + 1)/8
Determine t so that -10/3 - 1/6*t**2 + 2*t = 0.
2, 10
Let k(n) be the second derivative of -9*n**6/25 + 21*n**5/50 + 11*n**4/10 - 7*n**3/5 - 6*n**2/5 - 14*n - 10. Solve k(s) = 0 for s.
-1, -2/9, 1
Let n(q) be the second derivative of -19*q - 5/6*q**6 + 0*q**2 - 5/42*q**7 - 5/3*q**3 + 0 - 35/12*q**4 - 9/4*q**5. Let n(d) = 0. Calculate d.
-2, -1, 0
Let a(v) be the third derivative of -v**6/40 - v**5/10 - v**4/8 + 2*v**2 - 28*v. Factor a(i).
-3*i*(i + 1)**2
Let y(c) be the first derivative of -3*c**5/20 - 267*c**4/16 + 76. Let y(l) = 0. What is l?
-89, 0
Suppose 7*k + 2*k = 22*k + 8*k. Factor k + 2/19*y - 2/19*y**2.
-2*y*(y - 1)/19
Factor 10*d - 152/3 + 2/3*d**2.
2*(d - 4)*(d + 19)/3
Let k(j) = -10*j**3 + 180*j**2 + 380*j + 205. Let m(c) = -9*c**3 + 181*c**2 + 381*c + 203. Let q(g) = -4*k(g) + 5*m(g). Factor q(a).
-5*(a - 39)*(a + 1)**2
Let 1/2*r**3 - 81/2 - 19/2*r**2 + 99/2*r = 0. What is r?
1, 9
Let c(x) be the first derivative of 2*x**3/9 + 8*x**2 - 104*x/3 + 21. Factor c(k).
2*(k - 2)*(k + 26)/3
Suppose -3*w = w + 4*d - 308, 0 = d - 1. Let i = w - 41. Find m such that 2*m + i*m**3 - 4*m - 17*m**3 + m**2 - 9*m**4 = 0.
-1/3, 0, 1/3, 2
Let f = 11293/3633 - 27/173. Let o = f + -928/357. Solve 4/17 + 2/17*z**2 - o*z = 0 for z.
1, 2
Suppose 0 = 2*q - n - 12, -15*q + 19*q - 40 = -2*n. Let x(b) be the third derivative of 0 - 1/360*b**5 + 0*b**3 + 0*b - q*b**2 + 1/144*b**4. Factor x(a).
-a*(a - 1)/6
Factor -242/9 - 22*x + 14/3*x**2 - 2/9*x**3.
-2*(x - 11)**2*(x + 1)/9
Let r = 499/10 + -487/10. Solve -r*i**3 + 0*i + 3/5*i**4 + 0 + 3/5*i**2 = 0.
0, 1
Let b = -7352/3 + 2451. Let o(d) be the first derivative of 0*d**2 - b*d - 5 + 1/9*d**3. Factor o(p).
(p - 1)*(p + 1)/3
Let a(b) = -90 + 58*b**2 - 96*b + 151*b + 7*b**2 - 30*b**3. Let u(j) = 5*j**3 - 11*j**2 - 9*j + 15. Let h(k) = 4*a(k) + 25*u(k). Factor h(l).
5*(l - 3)*(l - 1)*(l + 1)
Suppose 5*m + 70 = p - 138, 2*p + m - 394 = 0. Let y be (-4)/(-10) - p/(-55). Suppose 31*u**y + 0*u**3 - 4*u**3 - 35*u**4 = 0. What is u?
-1, 0
Let k be 1*(-3)/24*2*-5. Solve -k*c**2 - 5*c**4 - 1/8*c - 2*c**5 - 33/8*c**3 + 0 = 0 for c.
-1, -1/4, 0
Let j(q) be the first derivative of 1/8*q**3 - 27 - 3/16*q**2 - 1/4*q + 1/16*q**4. Factor j(g).
(g - 1)*(g + 2)*(2*g + 1)/8
Determine w so that -64/9*w**2 - 4/3 - 4*w**3 + 2/9*w**5 - 4/9*w**4 - 46/9*w = 0.
-1, 6
Determine l, given that 10/7 + 9/7*l - 1/7*l**2 = 0.
-1, 10
Let w(v) be the second derivative of -v**4/24 + 13*v**3/12 - 15*v**2/2 + 4*v - 5. Solve w(c) = 0.
3, 10
Let r(q) = -5*q**5 + 25*q**4 - 10*q**2 + 5*q. Let s(i) = -6*i**5 + 25*i**4 - i**3 - 10*i**2 + 4*i. Let v(y) = 4*r(y) - 5*s(y). Solve v(d) = 0.
-1/2, 0, 1, 2
Let x(p) be the third derivative of p**7/15 - 19*p**6/60 + 4*p**5/15 + p**4/3 + 156*p**2. Factor x(g).
2*g*(g - 2)*(g - 1)*(7*g + 2)
Let o(h) be the first derivative of -7*h**4/24 - 202*h**3/9 - 5771*h**2/12 + 841*h/3 + 415. Let o(m) = 0. What is m?
-29, 2/7
Let a(t) be the second derivative of -t**5/90 - t**4/9 - t**3/3 + 10*t**2 + 18*t. Let z(x) be the first derivative of a(x). Factor z(v).
-2*(v + 1)*(v + 3)/3
Let n(v) be the first derivative of -3*v**5/5 - 3*v**4/4 + 4*v**3 + 6*v**2 + 12. Find d such that n(d) = 0.
-2, -1, 0, 2
Let b(s) be the third derivative of -1/6*s**4 + 1/15*s**5 + 0 + 11*s**2 + 0*s**3 + 0*s. Factor b(n).
4*n*(n - 1)
Let c be (2 - 15/6)/((-87)/58). Suppose -k + 2*k - 2 = 0, 2*k - 8 = -2*m. Solve 0*x**m + 1/3*x**4 + 0 + 0*x + c*x**3 = 0.
-1, 0
Let q(c) be the third derivative of c**6/600 + 14*c**5/75 - 19*c**4/40 - 53*c**2 - 2. Suppose q(x) = 0. Calculate x.
-57, 0, 1
Let a(b) = 2*b**2 - 24*b + 27. Let y be a(11). Factor 8*r**2 - 15*r**2 - 8*r**2 - 2*r**3 - 9 + 21*r + y*r**3.
3*(r - 3)*(r - 1)**2
Let w(g) be the third derivative of g**6/160 + 7*g**5/80 + g**2 + 30*g. Factor w(r).
3*r**2*(r + 7)/4
Let u(k) be the second derivative of 0*k**3 - 1/40*k**5 - 3*k - 1/12*k**4 + 0 + 0*k**2. Factor u(h).
-h**2*(h + 2)/2
Factor 59*k**3 - 108 + 5*k**3 + 238*k**2 - 860*k - 1934*k**2.
4*(k - 27)*(4*k + 1)**2
Factor 0*r + 24*r**2 - 3*r**3 + 14*r - 14*r.
-3*r**2*(r - 8)
Let h = -120/127 - -854/635. Suppose 0 + 0*c + 1/5*c**3 + h*c**2 = 0. Calculate c.
-2, 0
Let a(b) be the third derivative of b**7/14 + 3*b**6/40 - 7*b**5/20 - 3*b**4/8 + b**3 + 3*b**2 + 34. Factor a(c).
3*(c - 1)*(c + 1)**2*(5*c - 2)
Let f(w) be the third derivative of -1/60*w**6 + 1/60*w**5 + 0 + 1/12*w**4 + 8*w**2 - 1/210*w**7 + 0*w + 0*w**3. Determine a, given that f(a) = 0.
-2, -1, 0, 1
Let z(a) be the second derivative of a**6/6 - a**5/2 - 65*a**4/12 - 25*a**3/3 + 63*a. Factor z(p).
5*p*(p - 5)*(p + 1)*(p + 2)
Let r be ((-20)/105)/((-293)/291 - -1). Let g = r - 1732/63. Factor g*a**2 + 4/9 + 2/3*a.
2*(a + 1)*(a + 2)/9
Find v such that 2/3*v**3 - 40/9 + 64/9*v - 34/9*v**2 = 0.
5/3, 2
Let c be (-2)/((-7)/((-42)/(-4))). Factor 12*d - 2*d**4 + 11*d - 2 - 27*d + 4*d**c + 4.
-2*(d - 1)**3*(d + 1)
Let z(u) be the first derivative of 1 - 1/27*u**3 + 0*u + 1/18*u**2. Determine c, given that z(c) = 0.
0, 1
Let c(z) = 7*z**3 + 67*z**2 + 317*z + 506. Let u(n) = 8*n**3 + 68*n**2 + 316*n + 504. Let o(g) = -4*c(g) + 3*u(g). Find s, given that o(s) = 0.
-8, -4
Let x(r) = 10*r**2 - 125*r + 360. Let l(d) = 4*d + 15. Let f be l(-5). Let j(k) = -5*k**2 + 63*k - 180. Let b(n) = f*j(n) - 3*x(n). Find p such that b(p) = 0.
6
Let d(y) = -50*y**2 + 130*y - 135. Let b(w) = -w**3 - w**2 - w. Let r be 24/4 + -3 - (-16)/(-2). Let x(z) = r*b(z) + d(z). Solve x(s) = 0.
3
Let b(o) = -2*o**3 - 7*o**2 - 31*o - 138. Let u be b(-4). What is z in 4/3*z**u + 2/9*z**4 + 8/9*z + 2/9 + 8/9*z**3 = 0?
-1
Let c(m) = m**3 - m**2 - m. Let s(y) = 21*y**2 - 29 + 69 + 97*y + 5*y**4 + 66*y**2 + 38*y**3. Let d(p) = 3*c(p) - s(p). Find v such that d(v) = 0.
-2, -1
Suppose 3*f - l = 7, -f - 3*l = -6*f + 17. Let w be 4*f*(-6)/(-12). Factor -1 + 0*j**2 + 3*j**3 - 11 + 9*j**w.
3*(j - 1)*(j + 2)**2
Let m(w) be the first derivative of w**4/42 - 2*w**3/21 - 3*w**2/7 + 7*w + 26. Let k(r) be the first derivative of m(r). Determine d so that k(d) = 0.
-1, 3
Let v(n) be the second derivative of -n**4/132 - 71*n**3/33 - 5041*n**2/22 - 226*n. Factor v(d).
-(d + 71)**2/11
Let l(p) be the third derivative of p**9/27720 + p**8/18480 - p**7/13860 - p**4/3 + 16*p**2. Let i(y) be the second derivative of l(y). Factor i(w).
2*w**2*(w + 1)*(3*w - 1)/11
Let v(l) be the first derivative of -7/24*l**4 + 43/9*l**3 - 23*l**2 + 12*l + 19. Determine z so that v(z) = 0.
2/7, 6
Suppose -5*a + 17 = 7. Factor -5*r**a - 5*r**3 - 15*r + 25*r - 15 + 15*r + 0*r**2.
-5*(r - 1)**2*(r + 3)
Let x = -1 - -6. Let x*n**5 + 5*n**2 - 9*n**3 - 8*n**3 + 5*n**2 + 2*n**3 = 0. What is n?
-2, 0, 1
Let d(t) = 4*t**3 + 4*t**2. Let v(u) be the first derivative of u**6/6 - u**5/5 + 5*u**4/4 + 5*u**3/3 - 24. Let y(f) = 5*d(f) - 4*v(f). Factor y(c).
-4*c**4*(c - 1)
Let q(l) = 191*l**2 - 572*l + 1. Let b be q(3). Let 4 - 18*c**b - 58/3*c + 6*c**2 + 54*