derivative of -1/30*z**5 + 2*z**2 + 1/300*z**6 + 0*z**4 + 76 + 0*z**3 + 0*z. Solve x(n) = 0.
0, 5
Suppose -5*i + 41 - 43 = r, -4*r = 48. Let 1/3*h**3 + 0 + 0*h + 1/3*h**i = 0. What is h?
-1, 0
Suppose 5*d - 91 = -4*t, -6*d - 1219 = 3*t - 1294. Determine s, given that 2/5*s - 2/5*s**d - 34/5 + 34/5*s**2 = 0.
-1, 1, 17
Let q(h) be the second derivative of h**6/6 + 17*h**5/2 + 140*h**4/3 - 2695*h**3 + 15435*h**2/2 + 41*h. Let q(r) = 0. What is r?
-21, 1, 7
Let j be -8*(34 - 28575/840). Let j*o**2 + 0 - 1/7*o = 0. Calculate o.
0, 1
Let q(y) = 4*y - 45. Let j be q(13). Let p be ((-420)/(-8))/j - 5/10. Let -2*w**3 + 27 + 6*w - p - 16 = 0. What is w?
-1, 2
Let k = -95 + 99. Suppose 3*z + 7 = b, 6*b + 4*z - k = 4*b. Determine m so that 0 + 0*m**b + 1/4*m**2 + 1/8*m**5 - 3/8*m**3 + 0*m = 0.
-2, 0, 1
Let a(j) be the third derivative of -j**7/490 - 3*j**6/280 + 6*j**5/35 + 10*j**4/7 + 615*j**2 + j. Factor a(f).
-3*f*(f - 5)*(f + 4)**2/7
Factor 0 - 1/2*c**2 - 171*c.
-c*(c + 342)/2
Let s be (-21 - -43 - 4)*1/2. Let z(v) be the second derivative of -s*v + 2/5*v**5 + 7/12*v**4 + 1/6*v**3 + 0*v**2 - 8/15*v**6 + 0. Find l, given that z(l) = 0.
-1/4, 0, 1
Let b(g) be the first derivative of 172/21*g**3 + 1/7*g**6 - 128/35*g**5 - 61 + 45/7*g**2 - 24/7*g**4 - 44/7*g. Solve b(w) = 0 for w.
-1, 1/3, 1, 22
Let i be 131/(-12) - (-32 - (-28 - -7)). Let n(m) be the first derivative of -14 - m + i*m**3 + 3/8*m**2. Let n(l) = 0. Calculate l.
-4, 1
Let r(h) be the second derivative of h**5/100 + 23*h**4/60 - h**3/30 - 23*h**2/10 - 455*h + 3. Factor r(d).
(d - 1)*(d + 1)*(d + 23)/5
Let z = -3747 + 3752. Let x(k) be the first derivative of 7 - 2/3*k**3 - 2/5*k**4 - 2/5*k**2 + 0*k - 2/25*k**z. Solve x(q) = 0.
-2, -1, 0
Let i be 10 - ((-567)/(-45) + -3). Let j(z) be the third derivative of 0*z + 0 - 1/8*z**4 + i*z**5 + 0*z**3 - 2/5*z**6 - 13*z**2. Solve j(u) = 0 for u.
0, 1/4
Let d(i) be the third derivative of i**6/120 - 169*i**5/12 + 1687*i**4/24 - 281*i**3/2 - 266*i**2. Factor d(b).
(b - 843)*(b - 1)**2
Let s = 51/19 + -338/133. Find d, given that 0 + 4/7*d - 3/7*d**3 + 0*d**2 + s*d**4 = 0.
-1, 0, 2
Factor k**3 - 2131/2*k**2 + 283556*k + 284089/2.
(k - 533)**2*(2*k + 1)/2
Factor -460 + 231 - n**3 + 12*n**2 + 229 + 57*n + 7*n.
-n*(n - 16)*(n + 4)
Suppose 0 - 2/7*v**3 - 24/7*v**2 + 90/7*v = 0. What is v?
-15, 0, 3
Let m(g) be the third derivative of g**5/120 - 7*g**4/48 - 2*g**2 + 486. Factor m(s).
s*(s - 7)/2
Let u = 15796 - 31591/2. Factor -8*w - 15/2 - u*w**2.
-(w + 1)*(w + 15)/2
Let j = -263 - -260. Let c(l) = -2*l**4 - l. Let n(b) = 9*b**4 + 9*b**3 - 9*b**2 - 18*b + 18. Let k(t) = j*c(t) - n(t). Solve k(q) = 0.
-3, -2, 1
Let k(o) be the third derivative of o**8/192 - o**7/420 - 133*o**6/160 + 253*o**5/120 - 7*o**4/6 - 9712*o**2. Let k(v) = 0. Calculate v.
-8, 0, 2/7, 1, 7
What is r in 852/5*r - 4/5*r**4 - 1768/5 + 908/5*r**2 + 12/5*r**3 = 0?
-13, -2, 1, 17
Let d(z) = 466*z**2 + 20501*z - 105. Let o be d(-44). Suppose -21/4*j**2 + 201/4*j - o = 0. Calculate j.
4/7, 9
Let x(g) be the first derivative of -g**3/3 - 1231*g**2 + 6286. Factor x(n).
-n*(n + 2462)
Factor 1/10*z**3 - 51/5*z**2 + 117/2*z - 432/5.
(z - 96)*(z - 3)**2/10
Let z(k) be the first derivative of -k**4 - 64*k**3 - 1320*k**2 - 7744*k + 307. Suppose z(j) = 0. What is j?
-22, -4
Let x(o) = -o**3 - 3*o**2 + 10*o - 6. Let d be x(-6). Let w = d + -30. Determine l so that 25*l**5 + w*l**4 + 5*l**3 - 6*l**5 + 4*l**2 + 7*l**3 - 15*l**5 = 0.
-1, 0
Determine p so that -187/7*p - p**2 + 54/7 = 0.
-27, 2/7
Let v(t) be the second derivative of 6*t**2 + 1/2*t**3 - 40*t - 3/20*t**5 - t**4 - 1. Solve v(h) = 0.
-4, -1, 1
Let y = 32812 - 32808. Factor 0*g**3 + 96/7*g**2 - 6/7*g**5 - 24/7*g**y + 0 + 96/7*g.
-6*g*(g - 2)*(g + 2)**3/7
Let h(v) be the second derivative of v**4/60 + 21*v**3/5 - 127*v**2/10 + 704*v. Factor h(l).
(l - 1)*(l + 127)/5
Suppose -3*t = -3*a + 24, -3*a - 5*t = a + 4. Factor -a*v**3 - 6568*v + 6548*v + 9*v**3.
5*v*(v - 2)*(v + 2)
Let x(b) be the first derivative of 2*b**3/3 + 497*b**2 - 4314. Solve x(h) = 0 for h.
-497, 0
Let t = -120964 - -120964. Find v such that t + 2/9*v**3 - 4/3*v - 2/9*v**2 = 0.
-2, 0, 3
Factor -146*k - 41*k - 30 + 4*k - 133*k**2 + 84*k + 12.
-(7*k + 3)*(19*k + 6)
Let q(l) = -l**3 - 13*l**2 - 23*l - 1. Let r be q(-11). Suppose -r*i = -4*i - 18. Factor -674*t**i - 2*t**4 + 676*t**3 + 2*t**5 + 2*t**2 - 4*t**5.
-2*t**2*(t - 1)*(t + 1)**2
Suppose 0 = -w - 73 + 82. Let 3*y + 0*y**2 - w*y - 2*y**2 + 5*y**2 = 0. Calculate y.
0, 2
Suppose 0 = -37*b + 3603 + 2650. Let c = b - 163. Factor -2/3*h**5 + 0 - c*h**3 - 14/3*h**2 - 4/3*h - 10/3*h**4.
-2*h*(h + 1)**3*(h + 2)/3
Let h(o) be the third derivative of o**6/30 + 11*o**5/15 + 2*o**4/3 - 40*o**3 - 344*o**2 + 8*o + 1. Let h(i) = 0. Calculate i.
-10, -3, 2
Suppose -11*h - 96 = -15*h + 5*j, -3*h + 75 = -3*j. Suppose 2 = h*u - 28*u. Factor -10/9*a**u - 2/9*a**3 + 0 + 2/9*a**4 - 2/3*a.
2*a*(a - 3)*(a + 1)**2/9
Let r be (-7)/49*6/(-4)*8. Let f be ((-2)/(-28))/((-37)/(-1184)). Find m, given that f*m + 4/7*m**2 + r = 0.
-3, -1
Let z(r) be the third derivative of 4/15*r**5 - 2 - 1/20*r**6 + 0*r - 2/3*r**3 + 2*r**2 - 1/4*r**4. Find d such that z(d) = 0.
-1/3, 1, 2
Factor 22 - 1/9*w**2 - 13/9*w.
-(w - 9)*(w + 22)/9
Suppose -2*f - 42 = -4*b, 382*f = 381*f - 15. Determine w, given that 38/5*w + 128/5*w**5 - 2/5 - 46*w**2 - 416/5*w**4 + 482/5*w**b = 0.
1/8, 1
Let w(v) = -v**3 - v**2 + 7*v - 5. Let d be w(2). Let y be ((-2)/d)/((-410)/(-492)). Factor -y*l**4 + 4/5 + 8/5*l - 8/5*l**3 + 0*l**2.
-4*(l - 1)*(l + 1)**3/5
Let j(w) be the second derivative of -5*w**2 + 4/3*w**3 + 2*w + 1/6*w**4 - 36. Factor j(a).
2*(a - 1)*(a + 5)
Let x be (-6)/45 + 1584/(-270). Let h(m) = -10*m**3 + 15*m**2 + 5*m - 5. Let y(j) = -11*j**3 + 16*j**2 + 5*j - 4. Let o(p) = x*h(p) + 5*y(p). Factor o(w).
5*(w - 2)*(w - 1)*(w + 1)
Let q(x) = -12*x**3 + 129*x**2 + 4251*x + 4125. Let r(k) = 3*k**3 - 33*k**2 - 1063*k - 1031. Let o(c) = 4*q(c) + 15*r(c). Let o(g) = 0. What is g?
-15, -1, 23
Let k be ((42/54)/7)/(((-132)/72)/(-11)). Let k*w + 0 - 2/9*w**2 = 0. Calculate w.
0, 3
Let p(k) be the second derivative of -50/3*k**4 + 0 - 2000/9*k**3 - 156*k - 2/3*k**5 - 1/90*k**6 - 5000/3*k**2. Find m such that p(m) = 0.
-10
Let a(k) be the second derivative of -1/6*k**4 - 9/2*k**3 + 0 + 55*k + 7*k**2. Factor a(z).
-(z + 14)*(2*z - 1)
Let v(m) = -m**2 + 8*m - 9. Let y be v(6). Let u = -11533 + 46133/4. Let 0 + 0*a + u*a**4 + 1/2*a**y - 3/4*a**2 = 0. What is a?
-3, 0, 1
Factor 0 + 20/7*c**3 - 32/7*c**2 - 2/7*c**4 + 0*c.
-2*c**2*(c - 8)*(c - 2)/7
Let p(l) be the third derivative of l**7/210 + l**6/30 + l**5/20 + 71*l**2 + 10. Factor p(r).
r**2*(r + 1)*(r + 3)
Factor 15 - 1/6*s**2 - 3/2*s.
-(s - 6)*(s + 15)/6
Let o = -5153734/7 + 736248. Let -3/7*u**4 + 1/7 - 2/7*u**3 + 3/7*u - 1/7*u**5 + o*u**2 = 0. What is u?
-1, 1
Let m(o) = -6*o**5 + 45*o**4 + 510*o**3 - 30*o**2 + 15*o. Let i(d) = d**5 - 6*d**4 - 73*d**3 + 4*d**2 - 2*d. Let z(h) = 15*i(h) + 2*m(h). Factor z(r).
3*r**3*(r - 5)*(r + 5)
Let u(n) = -n**2 + 6*n + 3. Let x be u(6). Let f = 3890 - 3886. Determine t, given that f*t**4 + 2*t**2 - 6*t**2 + 4*t - 2*t**3 + 4*t**x - 6*t**3 = 0.
-1, 0, 1
Let c be 2783/4048*2/11. Let p(n) be the first derivative of c*n**3 + 1/2*n + 1/2*n**2 + 16. Solve p(m) = 0 for m.
-2, -2/3
Let z be 3*2/24 - 15/(-4). Suppose 0 = 5*s - z*s - 2. Factor -5*j**s + 37 - 32*j - 3*j - 162 - 15*j.
-5*(j + 5)**2
Let d(y) be the second derivative of 0*y**2 + 4/3*y**3 + 0 + 1/3*y**4 - 61*y. Let d(j) = 0. What is j?
-2, 0
Let g be (14/63)/(((-33)/18)/11) - (-132)/99. Factor -8*j**3 + g*j - 2/3*j**5 + 0 + 48*j**2 - 20/3*j**4.
-2*j**2*(j - 2)*(j + 6)**2/3
Find g such that 12672*g - 22*g**3 - 1873/5*g**2 - 331776/5 - 1/5*g**4 = 0.
-64, 9
Suppose 0 = -95*w + 93*w + 224. Suppose 1399*i - 900 + 5*i**2 - w*i**3 - 669*i**2 + 281*i - 4*i**4 = 0. What is i?
-15, 1
Let t(v) = v**2 + 21*v + 77. Let r be t(-16). Let b be (210/18)/(-5) - r. Factor 2/3*u**4 + 4/3*u**3 - b*u**5 - 2/3*u - 4/3*u**2 + 2/3.
-2*(u - 1)**3*(u + 1)**2/3
Suppose -21*k - 24 = -9*k. Let x be 3 - 2 - (k + 0). Factor -2/5*f**2 - 1/5*f**x + 3/5*f + 0.
-f*(f - 1)*(f + 3)/5
Let t be -2 + 15/10*4/3. Suppose 26 = f + 3*w - w, t = -5*f + 2*w + 106. Suppose -10 + f + 2*y**3 - y**4 - 