 What is z?
-3, -1
Suppose 77 = -9*u - 40. Let r be 166/(-1079)*u/3. Solve 2/3*c**4 + 0*c**3 - 1/3*c + 1/3*c**5 - r*c**2 + 0 = 0.
-1, 0, 1
Let s(f) be the third derivative of -3*f**6/140 + 19*f**5/105 - 2*f**4/21 + 1084*f**2 + f. Solve s(l) = 0.
0, 2/9, 4
Let j(n) be the first derivative of -n**6/57 - 8*n**5/19 - 37*n**4/38 + 564*n**3/19 + 1728*n**2/19 + 1728*n/19 - 5582. Solve j(q) = 0.
-12, -1, 6
Let a be 4/(-6)*(-3 - 3). Suppose 0 = 374*s - 335*s. Let -2/9*t**5 - 8/9*t**a - 10/9*t**3 + 0 + s*t - 4/9*t**2 = 0. Calculate t.
-2, -1, 0
Let n(j) be the first derivative of 31 - 14/3*j**3 - 8*j + 11*j**2. Factor n(c).
-2*(c - 1)*(7*c - 4)
Let 2/3*i**2 + 116/3 + 62/3*i = 0. Calculate i.
-29, -2
Let f(t) be the third derivative of -9 + 5*t**2 + 0*t + 7/66*t**4 - 1/330*t**5 + 5/11*t**3. Solve f(m) = 0 for m.
-1, 15
Let x(g) be the first derivative of -g**6/72 + 5*g**5/8 + 10*g**4/3 + g**3/3 + 4*g**2 + 28. Let v(q) be the third derivative of x(q). Factor v(n).
-5*(n - 16)*(n + 1)
Let b(c) be the third derivative of -972*c**5/5 - 90*c**4 - 50*c**3/3 + 4*c**2 - c. Factor b(y).
-4*(54*y + 5)**2
Let r(n) be the first derivative of -3*n**4/4 - 2058*n**3 - 2117682*n**2 - 968486568*n - 1852. Factor r(d).
-3*(d + 686)**3
Let t be (10/(120/351))/((-12)/(-32)). Factor -t - 37 + 43 - 28*y**2 + 108*y.
-4*(y - 3)*(7*y - 6)
Let d(x) = 12*x**4 + 197*x**3 - 615*x**2 + 13*x + 841. Let g(i) = -13*i**4 - 198*i**3 + 615*i**2 - 12*i - 844. Let s(c) = -8*d(c) - 7*g(c). Factor s(p).
-5*(p - 2)**2*(p + 1)*(p + 41)
Let a(x) be the third derivative of -625/54*x**3 - 25/108*x**4 + 0 + 0*x - 1/540*x**5 - 69*x**2. What is f in a(f) = 0?
-25
Let u(b) be the second derivative of b**5/10 - 26*b**4 - 157*b**3/3 - 659*b. Suppose u(w) = 0. What is w?
-1, 0, 157
Let y be -5*((-6)/10 - 6*1/15). Let n(i) be the first derivative of -2*i**3 + 27*i - 13 + 18*i**2 + 3/5*i**y - 3*i**4. Find j such that n(j) = 0.
-1, 3
Let a(k) be the second derivative of 5*k**4/12 - 5*k**3/6 - 50*k**2 - 43*k. Factor a(b).
5*(b - 5)*(b + 4)
Suppose 0 = 3*r + 3*z - 30, 10*r - 4*z = 11*r - 4. Let l be r*(-6)/(-24)*1. Determine d so that -384/13*d - 1024/13 - 2/13*d**l - 48/13*d**2 = 0.
-8
Let g be -12 - ((-10752)/1456 - (-12)/(-2)). Let v = 4 + -1. Factor -4/13*x - 8/13*x**v + g*x**2 + 0.
-2*x*(x - 2)*(4*x - 1)/13
Let j(t) be the second derivative of t**4/66 + 13*t**3/11 + 38*t**2/11 + 1717*t. Factor j(b).
2*(b + 1)*(b + 38)/11
Let q(v) be the first derivative of 2/45*v**3 + 33 - 16/15*v**2 - 34/15*v. Find b such that q(b) = 0.
-1, 17
Let f(g) = 5*g**3 + 3534*g**2 - 3525*g + 77. Let x(p) = -10*p**3 - 7066*p**2 + 7050*p - 143. Let i(w) = 13*f(w) + 7*x(w). Let i(a) = 0. What is a?
-705, 0, 1
Let k(o) be the first derivative of o**4/18 - 62*o**3/9 + 961*o**2/3 - 146*o + 228. Let d(z) be the first derivative of k(z). Find v, given that d(v) = 0.
31
Let b be 9 + -11 + 300/80. Let n(k) be the second derivative of -27/28*k**7 + 0*k**2 + 5/12*k**3 + 0 + b*k**4 + 27/10*k**5 - 20*k + 9/10*k**6. Factor n(j).
-j*(3*j - 5)*(3*j + 1)**3/2
Let r(h) be the first derivative of -27 - 2/3*h**4 + 1/30*h**6 + h**3 - 24*h**2 + 1/10*h**5 + 0*h. Let j(y) be the second derivative of r(y). Factor j(k).
2*(k - 1)*(k + 3)*(2*k - 1)
Let s(d) be the first derivative of d**4/14 + 160*d**3/21 + 157*d**2/7 + 156*d/7 - 306. Determine o, given that s(o) = 0.
-78, -1
Suppose 0 = 240*s - 234*s - 24. Determine y, given that s*y**5 - 6258*y**4 + 100 + 6310*y**4 + 340*y + 424*y**2 + 34*y**3 + 198*y**3 = 0.
-5, -1
Let b(l) be the second derivative of -l**7/63 - 23*l**6/45 - 79*l**5/15 - 185*l**4/9 - 11*l**3/3 + 195*l**2 - 73*l + 14. Determine t so that b(t) = 0.
-13, -5, -3, 1
Let h(z) be the first derivative of -2/21*z**3 - 52/7*z - 27/7*z**2 - 64. Factor h(c).
-2*(c + 1)*(c + 26)/7
Let d = -111 + 116. Let -6*h**3 + 4 + 8*h**2 - 6*h**2 + d*h**3 + 13*h + 6 = 0. What is h?
-2, -1, 5
Factor 76 + 3262*x**2 - 3258*x**2 - 34*x - 46*x.
4*(x - 19)*(x - 1)
Solve -72 + 10*u**2 - 1/2*u**5 - 6*u**4 + 33*u**3 - 201/2*u = 0 for u.
-16, -1, 3
Suppose 3719 - 3709 = 2*r. Let g(d) = 2*d**3 - 4*d**2 + d + 2. Let s be g(2). Find n, given that 0 + 3/5*n**3 + 1/5*n**2 + 3/5*n**s + 0*n + 1/5*n**r = 0.
-1, 0
Let f(s) be the third derivative of -s**8/84 + 50*s**7/21 + 641*s**6/30 + 1163*s**5/15 + 454*s**4/3 + 520*s**3/3 - 4*s**2 + 2*s + 23. Let f(n) = 0. What is n?
-2, -1, 130
Let n(c) = -14*c - 82. Let f(v) = 14*v + 86. Let b(l) = -6*f(l) - 7*n(l). Let s be b(-4). Solve -5/2*w + 0 - 5*w**s - 5/2*w**3 = 0 for w.
-1, 0
Let p(r) be the first derivative of -4*r**3/3 + 716*r**2 - 128164*r + 1681. Factor p(b).
-4*(b - 179)**2
Let c(u) = -35*u**4 + 118*u**3 + 25*u**2 - 14*u. Let o(r) = -4*r**4 + 13*r**3 + 3*r**2 - 2*r. Let g(j) = -6*c(j) + 57*o(j). Determine h so that g(h) = 0.
-1, 0, 5/6, 2
Let p = 18 + 25. Let m = p - 41. Solve -36*t - m*t**2 + 22*t + 14*t = 0 for t.
0
Let h(r) = 106*r**3 - 20*r - 5. Let y(f) = -91*f**3 + 19*f + 6. Let a(k) = 6*h(k) + 7*y(k). Solve a(j) = 0 for j.
-3, -1, 4
Let n(o) be the first derivative of o**4/6 + 4418*o**3/9 + 1218815*o**2/3 - 2442050*o/3 + 5389. Determine z so that n(z) = 0.
-1105, 1
Determine d so that 3/7*d**5 - 72/7*d + 69/7*d**3 + 6*d**2 - 6*d**4 + 0 = 0.
-1, 0, 1, 2, 12
Let x(h) = 3*h**3 + 77*h**2 + 60*h + 250. Let f be x(-25). Factor f - 39/2*u + 3/2*u**2.
3*u*(u - 13)/2
Let y(p) be the third derivative of -p**8/1512 - 2*p**7/189 - 23*p**6/540 - 7*p**5/135 + 2163*p**2. Let y(l) = 0. Calculate l.
-7, -2, -1, 0
Let v = -34 + 45. Factor 5*x**2 - 20*x - 176*x - 3*x + 2205 - v*x.
5*(x - 21)**2
Suppose 5*d - 4*c + 2 = 8*d, 8 = 2*d - 4*c. Let u be 4*d/(-14) + (-87)/(-42). Solve m**2 - 1 - u*m = 0 for m.
-1/2, 2
Suppose -5*o + 2*o - 6*o = -18. Let g = -438 - -2214/5. Determine u, given that -22/5*u**3 - 12/5*u**4 - 4/5*u**o - 2/5*u**5 + 16/5 + g*u = 0.
-2, -1, 1
Let o(t) be the first derivative of 7*t**2 + 9/2*t + 5*t**3 - 79 + 1/10*t**5 + 3/2*t**4. Suppose o(v) = 0. Calculate v.
-9, -1
Let m(q) = -2*q**2 - 94*q + 221. Let w(y) = -y**2 - 46*y + 111. Let a(c) = 3*m(c) - 5*w(c). Factor a(r).
-(r - 2)*(r + 54)
Let j(u) = 3*u - 34. Let i be j(13). Suppose 0 = 3*b - t - 11, -i*b = -3*t - 10 - 15. Factor -3*g**2 + g**3 - 11*g**3 + 5*g + 11*g**3 - 3*g**b.
g*(g - 5)*(g - 1)
Let n be (-19162)/2574 + (8 - -1). Solve -26/9*p + 4/3 + 2/9*p**3 + n*p**2 - 2/9*p**4 = 0 for p.
-3, 1, 2
Let i be (1 + 0)/((-1254)/(-418)). Let s(h) be the first derivative of -1/10*h**2 + 0*h - 3/25*h**5 - 7/20*h**4 - i*h**3 - 15. Suppose s(b) = 0. Calculate b.
-1, -1/3, 0
Determine r so that 0 - 6*r**3 + 172/3*r**2 + 80/3*r = 0.
-4/9, 0, 10
Let h = -5/177374 + 2483251/532122. Factor 8/3*s**2 - h*s - 4/3.
2*(s - 2)*(4*s + 1)/3
Let m(n) be the second derivative of n**7/112 + 9*n**6/80 - 3*n**5/80 - 9*n**4/16 + n**3/16 + 27*n**2/16 - 9193*n. Solve m(d) = 0.
-9, -1, 1
Suppose -880 = -20*r - 160. Suppose -52 + r = -8*y. Suppose -8 + 12*i + i**3 + 15/2*i**y = 0. What is i?
-4, 1/2
Let h(o) = 5*o**2 - 69*o + 346. Let k(y) = -4*y + 1. Let r(w) = h(w) + 4*k(w). Find b such that r(b) = 0.
7, 10
Suppose 0 = x + 8 - 12. Suppose -b + 42 = x*u, -4*b = 4*u - 0*b - 48. Factor -2*t**4 + 2*t**2 + u*t**2 + 0*t**5 + 18*t**3 + 3*t**5 + 3*t + 14*t**4.
3*t*(t + 1)**4
Let b be 3953/236 + 6/120. Solve 2/5*d**3 - 5488/5 + 1176/5*d - b*d**2 = 0 for d.
14
Let v be (-2 - -2)/((-25)/(-8 + 13))*3/(-6). Find j, given that v*j + 0 - 22/7*j**3 - 2/7*j**4 - 36/7*j**2 = 0.
-9, -2, 0
Let b(i) be the first derivative of -25*i**4 + 1220*i**3/3 + 5882*i**2 + 21964*i - 2223. Determine f, given that b(f) = 0.
-17/5, 19
Factor x**2 - 1/3*x**4 - 31/3*x**3 + 91/3*x - 62/3.
-(x - 1)**2*(x + 2)*(x + 31)/3
Find g, given that -1/6*g**5 - 3/2*g**4 + 23/2*g**2 + 17/6*g**3 - 10 - 8/3*g = 0.
-10, -2, -1, 1, 3
Let c(w) be the third derivative of w**8/336 + w**7/35 - w**6/30 - 2*w**5/5 - 3*w**2 + 3*w - 30. Let c(t) = 0. What is t?
-6, -2, 0, 2
Let f = 3655116/225625 - -9/225625. Factor f - 18*s + 5*s**2.
(5*s - 9)**2/5
Let k(p) = 2*p**2 + p - 29. Let c be k(5). Solve c*u**2 - u**4 + 17 + 21 - 5*u**3 + 45*u - 23*u**2 + 16 = 0.
-3, -2, 3
Let i be 15/(-6)*(-20)/25. Let v be (21/6 + -4)/(i/(-8)). Suppose -38*l**2 - 2 - 15 + 36*l**v - 12*l + 1 = 0. What is l?
-4, -2
Let m(j) be the first derivative of -21*j**4/4 - 2*j**3 + 694. Fact