 z(i) be the second derivative of q(i). Factor z(d).
-2*d**2*(d + 1)*(d + 2)
Let v(w) be the third derivative of 0*w - 1/240*w**5 - 5*w**2 + 1/840*w**7 + 0*w**6 + 0*w**3 + 0 + 1/192*w**4 - 1/2688*w**8. Determine p, given that v(p) = 0.
-1, 0, 1
Let c(h) = 2*h + 3. Let x be c(2). Let s be (-75)/(-21) + (-4)/x. Suppose 4*q + 12*q**4 - 5*q**2 - 2*q**2 - 5*q**2 + 3*q**s - 7*q**3 = 0. Calculate q.
-1, 0, 1/3, 1
Let q(h) be the first derivative of 2*h**6/15 + 16*h**5/25 + h**4 + 8*h**3/15 + 39. Suppose q(r) = 0. What is r?
-2, -1, 0
Let q = 959 - 958. Let s(m) be the first derivative of q + 5*m**3 + 5*m - 5/4*m**4 - 15/2*m**2. Let s(n) = 0. What is n?
1
Suppose 4*k + 1 - 25 = 0. Let m be -35*(-1)/(2 + (-6)/(-4)). Solve 4*v**2 - 4*v**3 - k*v + m*v + 3*v**4 - 7*v**4 = 0.
-1, 0, 1
Let q(i) be the second derivative of i**3 - 1/4*i**4 - 3/2*i**2 + 0 + i. Let q(f) = 0. Calculate f.
1
Factor -5902*r + 474 + r**3 - 91*r - 273*r**2 - 352*r - 6549 - 4*r**3.
-3*(r + 1)*(r + 45)**2
Let o be (1 - 1)/(-41 - -43). Let b(n) be the third derivative of o*n**4 + 1/27*n**3 - 5*n**2 + 0 + 0*n - 1/270*n**5. Factor b(k).
-2*(k - 1)*(k + 1)/9
Let w(v) = -v**2 - 14*v + 3. Let c be w(-14). What is d in 3*d**3 + d**2 - 11*d**2 - c*d**5 + 3*d**4 + 7*d**2 = 0?
-1, 0, 1
Let s(u) = -3*u**2 - 36*u - 24. Let l(m) be the first derivative of m**3/3 + 9*m**2/2 + 6*m - 3. Let r(j) = 9*l(j) + 2*s(j). Factor r(y).
3*(y + 1)*(y + 2)
Let d(i) be the first derivative of -2*i**3 + 3/5*i**5 + 5 + 3/4*i**4 + 0*i + 0*i**2. Factor d(a).
3*a**2*(a - 1)*(a + 2)
Let h(k) be the second derivative of -k**5/50 + 4*k**4/5 - 25*k. Suppose h(o) = 0. Calculate o.
0, 24
Let o(s) be the third derivative of s**6/90 - s**4/6 + 13*s**3/6 - 3*s**2. Let k(b) be the first derivative of o(b). Factor k(h).
4*(h - 1)*(h + 1)
Let b(n) be the second derivative of -n**9/3780 + n**7/630 + 17*n**4/12 - 3*n. Let t(o) be the third derivative of b(o). Factor t(z).
-4*z**2*(z - 1)*(z + 1)
Let f be 2/5*(-15)/(-21). Let m be (-462)/(-165) + 4/(-5). Factor 0 + 6/7*w**3 - 4/7*w**m - f*w.
2*w*(w - 1)*(3*w + 1)/7
Factor 3*h**5 + 3*h**3 - h**3 + 24*h**4 + 19*h**3.
3*h**3*(h + 1)*(h + 7)
Let m(j) be the third derivative of 0 + 23/90*j**6 - 4/315*j**7 + 0*j - 59/45*j**5 - 17*j**2 + 8*j**3 - 8/3*j**4. Suppose m(h) = 0. Calculate h.
-1, 1/2, 6
Suppose -2395*q + 2397*q + 5*x = 34, 2*q - 5*x + 26 = 0. Determine h, given that 3/5 - 6/5*h**3 + 2/5*h**q - 1/5*h**5 + 7/5*h - h**4 = 0.
-3, -1, 1
Let j(i) be the second derivative of -i**6/60 + i**5/8 + 3*i**4/8 - 27*i**3/4 + 27*i**2 + 2*i - 2. Factor j(t).
-(t - 3)**3*(t + 4)/2
Let q(l) be the second derivative of l**7/210 - l**6/30 + 2*l**4/3 - 5*l**3/6 + 21*l. Let w(o) be the second derivative of q(o). Solve w(c) = 0 for c.
-1, 2
Suppose 12*x = 18*x - 48. Suppose -2*r + 3*o + 7 = -x, -5 = 5*r + o. Determine p, given that -2/3*p**2 - 4/9*p + 0 + 2/9*p**4 + r*p**3 = 0.
-1, 0, 2
Let p(b) be the first derivative of -1/2*b**3 + 1/8*b**4 - 3 + 1/20*b**5 - 5/2*b**2 - 1/40*b**6 + 0*b. Let n(q) be the second derivative of p(q). Factor n(y).
-3*(y - 1)**2*(y + 1)
Suppose 3*q - 6*p + 3*p = 15, 1 = q + 3*p. What is u in -11/3*u**3 - q*u**4 + 4*u**2 + 0 + 4/3*u + 7/3*u**5 = 0?
-1, -2/7, 0, 1, 2
Factor 20 - 9088*m**2 + 3*m**3 - 4*m**3 - 24*m + 9097*m**2.
-(m - 5)*(m - 2)**2
Let c(q) = 14 + 5*q - 1 - 3 - 3*q. Let a be c(-5). Factor r - 1/2 - r**3 + 1/2*r**4 + a*r**2.
(r - 1)**3*(r + 1)/2
Let d(o) be the second derivative of -o**6/24 - o**5/4 + 18*o**2 + 30*o. Let a(v) be the first derivative of d(v). Factor a(x).
-5*x**2*(x + 3)
Let c(x) be the first derivative of x**6/2160 + x**5/180 + x**4/36 + 3*x**3 - 18. Let a(w) be the third derivative of c(w). Factor a(j).
(j + 2)**2/6
Let m(l) be the third derivative of -l**8/1260 - 3*l**7/175 - 37*l**6/450 + 4*l**5/25 + 19*l**4/45 - l**3 - 625*l**2. Let m(b) = 0. Calculate b.
-9, -5, -1, 1/2, 1
Let t = 243/23 - 7569/736. Let o = t + 83/160. Determine x so that 0 - 2*x**4 - 2/5*x**2 - 8/5*x**3 - o*x**5 + 0*x = 0.
-1, -1/2, 0
Suppose -6*d = -57 - 663. Suppose d = -5*a + 135. Factor -1/3 + k + 3*k**2 + 5/3*k**a.
(k + 1)**2*(5*k - 1)/3
Let a(h) = -5*h**4 - 8*h**3 + 23*h**2 - 28*h + 12. Let m(u) = u**4. Let b(g) = a(g) + 6*m(g). Find s, given that b(s) = 0.
1, 2, 3
Let j(i) be the first derivative of i**5/20 - 3*i**4/16 + i**3/6 - 123. Suppose j(x) = 0. What is x?
0, 1, 2
Let p = -12 - -14. What is q in 4*q**4 + 0*q**5 - 144*q**3 + p*q**5 + 138*q**3 = 0?
-3, 0, 1
Suppose 2 = -2*f + 2*m, -2*m - 17 = -3*f - 3*m. Suppose 3*u + 4*n = 6, 4*u - 12 + 4 = -f*n. Factor -3*o**3 - 2*o**3 + 3*o**3 + u + 2*o - 2*o**2.
-2*(o - 1)*(o + 1)**2
Let u be 762/12 - (-6)/(-4). Determine p, given that 3*p**4 - 54*p - 150*p**2 - 24 + u*p**2 + 55*p**2 = 0.
-2, -1, 4
Let h be 0 - (-1 + 2)/9 - 2/(-18). Find m, given that h - 4/3*m**2 + 0*m - 2/3*m**3 = 0.
-2, 0
Factor 2/19*u**3 - 20/19*u + 0 + 18/19*u**2.
2*u*(u - 1)*(u + 10)/19
Let l = 18 + -16. Let a be 10/(-14)*322/(-92). Factor 7/2*c - 3/2 + 1/2*c**3 - a*c**l.
(c - 3)*(c - 1)**2/2
Let q(h) = h**3 + 3*h**2 + 5*h + 19. Let a be q(-3). Let n(r) be the first derivative of -2*r - 3/2*r**2 + 3/4*r**a + 1/3*r**3 + 1/5*r**5 - 1. Factor n(k).
(k - 1)*(k + 1)**2*(k + 2)
Let x(y) = 3*y**3 - 6*y**2 - 28*y - 15. Let k(a) = -a**3 - a**2 + 3. Let m(w) = 3*k(w) + 3*x(w). Find l, given that m(l) = 0.
-2, -1/2, 6
Let q(r) be the third derivative of -1/840*r**7 - 17*r**2 + 0 - 1/30*r**5 + 1/96*r**6 + 1/24*r**4 + 0*r**3 + 0*r. Let q(l) = 0. What is l?
0, 1, 2
Let p(h) = -5*h**2 - 26*h - 21. Let f(y) = 579 - 38*y - 4*y - 63*y - 664 - 20*y**2. Let q(a) = -4*f(a) + 15*p(a). Solve q(u) = 0.
-5, -1
Let a(p) be the third derivative of 0*p + 0*p**3 - 9*p**2 + 0 + 1/945*p**7 + 2/135*p**5 - 1/135*p**6 + 0*p**4. Solve a(u) = 0.
0, 2
Let k = 318 + -314. Let q(z) be the second derivative of 0 + 1/70*z**5 + 9/7*z**2 + k*z + 1/7*z**3 - 5/42*z**4. Factor q(r).
2*(r - 3)**2*(r + 1)/7
Suppose q = -3*y + 2*q + 83, -2*y = 3*q - 48. Suppose -z + m = -44, -y = 4*z - 5*m - 203. Find j such that z*j + 5 - 7 + 36*j**2 + 10 = 0.
-1, -2/9
Let s(m) = -17*m**2 + 42*m + 136. Let j(a) = 9*a**2 - 21*a - 66. Let f(i) = -11*j(i) - 6*s(i). Let f(x) = 0. What is x?
-3, 10
Let m(a) be the second derivative of a**6/360 - a**4/72 - 4*a**2 + 10*a. Let z(s) be the first derivative of m(s). Let z(g) = 0. What is g?
-1, 0, 1
Let f(n) be the second derivative of n**5/100 + n**4/120 - n**3/15 - 5*n**2 + 12*n. Let s(z) be the first derivative of f(z). Factor s(d).
(d + 1)*(3*d - 2)/5
Let r(i) be the second derivative of -i**6/30 - i**5/2 + 11*i**4/12 - 21*i + 1. Determine q, given that r(q) = 0.
-11, 0, 1
Suppose 5*s = -d + 77, -d = -219*s + 218*s + 13. Let o(t) be the first derivative of 7 - s*t - 25/3*t**3 + 5/4*t**4 + 35/2*t**2. Solve o(u) = 0.
1, 3
Suppose 0 = -c + 5*c + 4*c. Let z(l) be the first derivative of 2/15*l**3 + c*l - 3 - 1/5*l**2. Factor z(v).
2*v*(v - 1)/5
Let o(x) be the first derivative of 8*x**6/3 + 48*x**5/5 - 19*x**4 - 40*x**3/3 + 18*x**2 + 16*x - 72. Let o(r) = 0. What is r?
-4, -1/2, 1
Solve -1/3*c**3 + 2/3*c**2 + 0 + 0*c - 2/3*c**4 + 1/3*c**5 = 0 for c.
-1, 0, 1, 2
Let w(k) be the third derivative of -k**8/336 + 13*k**7/630 - k**6/45 - 2*k**5/15 - 5*k**4/8 - 24*k**2. Let s(u) be the second derivative of w(u). Factor s(c).
-4*(c - 2)*(c - 1)*(5*c + 2)
Suppose 0 = -4*m + m + 378. Let a = 178 - m. Let 90*o**5 - 16*o**2 + a*o**4 - 8*o + 0*o + 58*o**3 + 104*o**4 = 0. What is o?
-1, -2/3, -2/5, 0, 1/3
Suppose -5*c + 5*w = -15, 2*c + 2*c = w + 9. Let j = 0 + c. Let 2*g**4 + g**5 + j*g**5 - g**5 = 0. What is g?
-1, 0
Let s be (-4)/(-9)*((-909)/(-270) - (-8)/(-12)). What is a in 0*a + s*a**3 + 0*a**2 - 9/5*a**4 + 3/5*a**5 + 0 = 0?
0, 1, 2
Let t be (0 + (-75)/(-5))*4/6. Let p = 576 - 334. Let 88*v - p*v**2 + 11 - 9 - t = 0. What is v?
2/11
Let g(c) be the first derivative of -7*c**5/240 + 3*c**4/32 - c**3/12 - 6*c**2 - 6. Let f(v) be the second derivative of g(v). Find w, given that f(w) = 0.
2/7, 1
Suppose -3*j + s + 7 = 0, 179 - 189 = -5*s. Let v(o) be the third derivative of 4/15*o**5 + 2/3*o**4 - o**2 + 0 - 1/10*o**6 + 0*o**j + 0*o. Factor v(c).
-4*c*(c - 2)*(3*c + 2)
Suppose -4*m = 4*j - 28, -4*m + 17*j + 13 = 16*j. Solve 0 - 2/3*c**m - 32/15*c**2 - 34/15*c**3 - 8/15*c = 0 for c.
