vative of -3*i**2 + 0*i - 7*i**3 - 15/4*i**4 + 8. Factor k(y).
-3*y*(y + 1)*(5*y + 2)
Let m(v) = 2*v + 2*v**2 - 11*v + 6 + 15*v**2 + 3*v**3 + v**2. Let t(q) = -q**3 - q**2 - q. Let l(i) = -m(i) - 6*t(i). Solve l(h) = 0 for h.
1, 2
Let 3*t**4 - 70*t - 18*t**3 + 24*t + 27*t + 3*t**5 - 12*t**2 + 43*t = 0. What is t?
-2, 0, 1, 2
Let z = -2009 - -6032/3. Let k(x) be the first derivative of 10*x - z*x**3 + 5/2*x**2 + 10. Determine a, given that k(a) = 0.
-1, 2
Suppose -3*l = 16*l. Let z(x) be the second derivative of 1/9*x**3 + l*x**2 + 0 - 9*x + 1/18*x**4. Find g such that z(g) = 0.
-1, 0
Let y(k) be the third derivative of k**5/30 - k**4/2 - 7*k**3/3 - 106*k**2 - 2. Let y(h) = 0. What is h?
-1, 7
Let y = 75/47 + -281/235. Factor -y + 3/5*x - 1/5*x**2.
-(x - 2)*(x - 1)/5
Let n(y) be the third derivative of y**5/270 - y**4/12 + 20*y**3/27 + 70*y**2 - 2*y. Factor n(m).
2*(m - 5)*(m - 4)/9
Let s(m) be the second derivative of -m**4/42 - 2*m**3/21 + 15*m**2/7 + m - 12. Let s(f) = 0. What is f?
-5, 3
Factor 972*z + 1/4*z**3 - 11664 - 27*z**2.
(z - 36)**3/4
Let s(c) be the first derivative of 0*c**2 + 0*c - 1/18*c**4 - 4/45*c**5 - 5 + 0*c**3 - 1/27*c**6. Factor s(k).
-2*k**3*(k + 1)**2/9
Let f = -52 - -60. Let h be f/44 + (-10)/(-66). What is x in h*x**3 + 0*x - 2/3*x**2 - 1/3*x**5 + 2/3*x**4 + 0 = 0?
-1, 0, 1, 2
Suppose -g = -4*w + 20, -3*w + 0*w - g + 22 = 0. Solve -a**4 - w*a**3 + 3*a**4 + a**2 + 3*a**2 = 0.
0, 1, 2
Let b be 1 + 6/(-13) - 17/(-17). Solve 14/13*s**2 - 74/13*s + b = 0.
2/7, 5
Let k(j) be the second derivative of -j**4/54 - 4*j**3/27 - j**2/3 - 10*j - 2. Factor k(i).
-2*(i + 1)*(i + 3)/9
Let z be (3/9)/(2/42). Let n(t) = t**2 - 8*t + 9. Let q be n(z). Factor -2*f**2 - 10*f**q + 4*f - 16*f**3 + 4*f - 4*f.
-4*f*(f + 1)*(4*f - 1)
Let a(b) be the third derivative of b**6/180 - b**5/30 + b**4/12 - b**3/3 + 11*b**2. Let m(h) be the first derivative of a(h). Solve m(k) = 0 for k.
1
Let l(m) = -m**3 - 11*m**2 + 6*m + 21. Let o be l(-13). Let w = -279 + o. Determine k, given that 12/7*k**w + 4/7*k**3 + 8/7*k + 0 = 0.
-2, -1, 0
Let 120*j - 14/5*j**3 + 4*j**2 + 0 - 1/5*j**4 = 0. What is j?
-10, 0, 6
Suppose 5*m - 3*h = -11, -m + 16 = -26*h + 28*h. Factor -2/3*x**3 + m*x**2 + 0*x - 8/3.
-2*(x - 2)**2*(x + 1)/3
Let q = 86/5 - 167/10. Let k(c) be the first derivative of -1 - 1/4*c**4 + 3/4*c + q*c**2 - 1/6*c**3 - 1/20*c**5. Suppose k(x) = 0. Calculate x.
-3, -1, 1
Suppose 2*r + 74 = 3*r. Let 42*g**3 - 42*g**2 - 50*g**3 + 48*g - 16*g**3 - 8 - r*g**3 = 0. Calculate g.
-1, 2/7
Let a(y) = y**3. Let v(w) = 6*w**3 - 35*w**2 - 140*w - 60. Let z(n) = 4*a(n) + v(n). What is p in z(p) = 0?
-2, -1/2, 6
Let a(s) be the third derivative of 3*s**7/70 - 67*s**6/40 - 353*s**5/60 - 167*s**4/24 - 4*s**3 + 23*s**2 - 5. Solve a(o) = 0 for o.
-1, -1/3, 24
Suppose -234 = -9*h - 9. Let r be 1*h/10 - 2. Factor -r*c**3 + 1/2*c**2 - 1/2 + 1/2*c.
-(c - 1)**2*(c + 1)/2
Let a(t) be the first derivative of t**7/2520 - t**5/360 - t**3 - 1. Let u(i) be the third derivative of a(i). Factor u(k).
k*(k - 1)*(k + 1)/3
Let l = -22 - -24. Suppose 4 = 4*w - l*w. Factor 11*n**3 - w*n - 9*n**3 + 6 - 6*n**2 + 0*n.
2*(n - 3)*(n - 1)*(n + 1)
Let y(t) be the first derivative of -t**3/3 + t**2/2 + t + 17. Let l(q) = -2*q**3 + 3*q**2 + 3*q - 5. Let n(p) = l(p) - 3*y(p). Solve n(d) = 0.
-1, 2
Factor -2/9*b**5 + 0*b - 2/9*b**4 - 2/3*b**2 + 10/9*b**3 + 0.
-2*b**2*(b - 1)**2*(b + 3)/9
Let f(h) = h**4 - 2*h**2 - 1. Let x(a) = a**4 + a**3 - 3*a**2 - a - 1. Suppose -w = 3*w + 12. Let s be 2/(w - (-24)/9). Let t(p) = s*f(p) + 4*x(p). Factor t(r).
-2*(r - 1)**3*(r + 1)
Let g(s) be the second derivative of s**5/100 + s**4/5 - 13*s**3/30 - 354*s. Factor g(p).
p*(p - 1)*(p + 13)/5
Let p(r) = r - 2. Let m be p(18). Suppose 6*h + 4 = m. Factor -6*c + 4*c**h + 6*c + 8*c.
4*c*(c + 2)
Let n(b) be the third derivative of -3*b**6/40 - 137*b**5/60 - 5*b**4/4 + b**2 + 34*b. Solve n(a) = 0 for a.
-15, -2/9, 0
Let y be (-1 + (-44)/(-24))*3. Let c(s) be the first derivative of y*s**4 + 0*s + 4 + s**2 + 4*s**3. Factor c(k).
2*k*(k + 1)*(5*k + 1)
Let w be ((-99)/(-45))/(1*(-5)/15) + 7. Factor 0 - 4/5*h**2 - 2/5*h - w*h**3.
-2*h*(h + 1)**2/5
Find z, given that -64*z**2 - 4*z**3 + 4*z**3 + 76*z**2 - 3*z**4 = 0.
-2, 0, 2
Let t(y) be the first derivative of -y**6/18 - y**5/15 + y**4/4 + 5*y**3/9 + y**2/3 + 101. Solve t(k) = 0.
-1, 0, 2
Suppose -2185*k = -2172*k. Let c(t) be the third derivative of k*t - 8*t**2 - 1/210*t**5 - 1/28*t**4 + 0 - 2/21*t**3. Factor c(u).
-2*(u + 1)*(u + 2)/7
Let w(q) be the third derivative of 0 - 4/33*q**3 + 4/165*q**6 - 29/330*q**5 + 5/33*q**4 + 16*q**2 - 1/385*q**7 + 0*q. What is k in w(k) = 0?
1/3, 1, 2
Let g = 269/13 + -1046/65. Factor -1/10*k**4 - 6*k - g*k**2 - 5/2 - 6/5*k**3.
-(k + 1)**2*(k + 5)**2/10
Determine q, given that 0 - 2/3*q**3 - 44/3*q - 26/3*q**2 = 0.
-11, -2, 0
Let c(o) = 3*o + 21. Let d be c(-5). Let q(v) be the third derivative of -1/20*v**d + 0*v**3 + 5*v**2 + 0*v**4 + 0*v + 1/20*v**5 + 0 - 3/70*v**7. Factor q(j).
-3*j**2*(j + 1)*(3*j - 1)
Let h(k) be the second derivative of 5*k**7/42 + k**6/3 - 5*k**5/4 - 25*k**4/6 + 10*k**3/3 + 20*k**2 - 454*k. Find p, given that h(p) = 0.
-2, -1, 1, 2
Let j(t) be the third derivative of -t**7/105 + 11*t**6/60 - t**5/5 - 11*t**4/3 + 40*t**3/3 - 294*t**2. Solve j(y) = 0.
-2, 1, 2, 10
Find k, given that -12*k**2 + 0 - 5*k**4 - 14*k**3 - 1/2*k**5 + 0*k = 0.
-6, -2, 0
Let d(w) be the second derivative of -w**4/36 - 5*w**3/9 + 4*w**2 - 3*w + 7. Factor d(b).
-(b - 2)*(b + 12)/3
Factor 2/7*d**2 + 4/7*d + 2/7.
2*(d + 1)**2/7
Let n(x) be the third derivative of x**7/1960 + x**6/420 + x**5/280 - 5*x**3/2 - 3*x**2. Let t(j) be the first derivative of n(j). Factor t(s).
3*s*(s + 1)**2/7
Let d(h) be the first derivative of h**6/39 - h**4/26 + 10. Suppose d(g) = 0. What is g?
-1, 0, 1
Suppose p - 30 = h - 29, h - 19 = -4*p. Let t(m) be the first derivative of -1/3*m**h - 16/5*m**5 + 0*m + 0*m**2 - 7 - 2*m**4. Factor t(x).
-x**2*(4*x + 1)**2
Suppose 6/7*w - 6/7*w**3 + 3/7*w**4 + 0*w**2 - 3/7 = 0. Calculate w.
-1, 1
Let h(r) be the third derivative of 0 + 0*r - 6*r**2 + 0*r**3 - 1/270*r**5 - 1/54*r**4. Solve h(g) = 0 for g.
-2, 0
Let d = 2348 - 2348. Let h(m) be the third derivative of d + 0*m - 1/14*m**3 + 1/420*m**5 - 1/84*m**4 - 8*m**2. What is v in h(v) = 0?
-1, 3
Let o = -52 - -57. Factor 10*n**4 + 5*n**5 - o*n**2 - 9*n**2 - 5*n + 4*n**2.
5*n*(n - 1)*(n + 1)**3
Let j be (-1)/(1/(-3)) + 2720/(-240) + 9. Let 0 + 4/3*h - 2*h**2 + j*h**4 + 0*h**3 = 0. What is h?
-2, 0, 1
Let j(f) = -f**4 - f**2 + f + 1. Let h(r) = 4*r**4 - 6*r**3 - 7*r**2 - 15*r - 8. Let b(o) = 4*h(o) + 20*j(o). Factor b(q).
-4*(q + 1)**3*(q + 3)
Let o be 5/10 + (-5)/(-2). Suppose 4*v = -0*v + 8. Find d such that 2*d**v - 5*d**3 + 2*d**4 + 0*d**o + d**3 = 0.
0, 1
Let i(y) = 8*y**3 + 46*y**2 - 14*y. Let s(h) = h**3 + h**2 - 2*h. Let m(q) = 2*i(q) - 14*s(q). Factor m(c).
2*c**2*(c + 39)
Factor 2/7*b**2 + 22/7*b - 160/7.
2*(b - 5)*(b + 16)/7
Let z(j) be the second derivative of -j**7/126 + j**5/15 + j**4/18 - j**3/6 - j**2/3 - 101*j. Suppose z(d) = 0. Calculate d.
-1, 1, 2
Let o(d) = d**3 + d - 1. Let z(b) = -b**3 - 4*b + 4. Let k be -6 + (-1)/((-5)/10). Let c(v) = k*o(v) - z(v). Suppose c(y) = 0. What is y?
0
Let w(m) = -m**3 - 2*m**2 - 4*m - 3. Let j be w(-1). Let g(l) be the third derivative of 1/6*l**3 + 1/60*l**5 + j - 12*l**2 + 0*l + 1/12*l**4. Factor g(o).
(o + 1)**2
Let m be 0/(0 + 8 + (26 - 35)). Factor 0*n + 0 - 1/10*n**4 + 1/10*n**3 + m*n**2.
-n**3*(n - 1)/10
Let u(d) be the third derivative of 0 + 0*d**3 + 1/60*d**5 - 27*d**2 + 0*d + 0*d**4 + 1/480*d**6. Find y, given that u(y) = 0.
-4, 0
Find z, given that 45/7*z**3 + 6/7*z + 0 - 51/7*z**2 = 0.
0, 2/15, 1
Let s(q) be the second derivative of -3*q**5/140 + q**3/14 - 28*q. Find h such that s(h) = 0.
-1, 0, 1
Factor 21/5*s + 0 - 18/5*s**2 - 3/5*s**3.
-3*s*(s - 1)*(s + 7)/5
Let f = -198 + 205. Let h(z) be the second derivative of 0*z**2 + 0*z**6 + 0 - 1/3*z**3 + 0*z**4 - 1/21*z**f + 1/5*z**5 - 3*z. Factor h(s).
-2*s*(s - 1)**2*(s + 1)**2
Let s(w) = -w**3 + 4*w**2 + 30*w. Let g be s(-4). Factor 2/3*z**2 + 24 - g*z.
2*(z - 6)**2/3
Let d(r) be the first derivative of -r**6/3240 + r**5/270 - r**4/72 - 6*r**3 - 1. Let c(n) be the th