12*i**2 + x*i**2 + 8.
2*(i - 2)**2
Let v = 42 + -40. Find o, given that 30*o**2 + 30*o - v*o**3 + 5*o - 7*o + 2*o**3 + 2*o**3 = 0.
-14, -1, 0
Let v(x) be the first derivative of 2*x**6/15 - 84*x**5/25 + 17*x**4 + 316*x**3/5 + 52*x**2 + 8950. What is n in v(n) = 0?
-1, 0, 10, 13
Let s(j) be the third derivative of j**6/24 + 5*j**5/12 + 5*j**4/6 - 4*j**2 - 141*j. Solve s(i) = 0 for i.
-4, -1, 0
Let b(v) be the first derivative of 0*v**2 + 0*v + 0*v**3 + 1/2*v**4 - 2/15*v**5 - 39. Factor b(m).
-2*m**3*(m - 3)/3
Let i(n) be the first derivative of -n**6/30 - n**5/5 + n**4/2 + 2*n**3/3 - 5*n**2/2 - 36*n + 56. Let m(h) be the first derivative of i(h). Factor m(f).
-(f - 1)**2*(f + 1)*(f + 5)
Solve 1/8*y**4 + 24 + 7/2*y**3 - 127/8*y**2 + 19/4*y = 0.
-32, -1, 2, 3
Suppose b = -3, 0 = 5*j - 9*j + 4*b + 12. Let i(p) be the first derivative of 6 + j*p - 4/21*p**3 + 2/7*p**2. Factor i(y).
-4*y*(y - 1)/7
Let x(l) be the second derivative of l**4/18 - 7*l**3 - 64*l**2/3 - 103*l. Suppose x(c) = 0. What is c?
-1, 64
Let b(d) be the third derivative of -d**6/480 - 641*d**5/480 - 479*d**4/96 - 319*d**3/48 - 210*d**2 - 3. Find o such that b(o) = 0.
-319, -1, -1/2
Let s(z) be the first derivative of -33856*z**5 - 1380*z**4 - 15*z**3 - 2058. Determine p, given that s(p) = 0.
-3/184, 0
Let x(s) be the first derivative of -s**6/54 + 2*s**5/5 - 125*s**4/36 + 412*s**3/27 - 104*s**2/3 + 320*s/9 - 8959. Determine j, given that x(j) = 0.
1, 4, 5
Suppose 0*z - 3*z = -2*z. Let y = 7 + z. Factor -16 + y*n - 19*n + 24 + 4*n**2.
4*(n - 2)*(n - 1)
Determine c so that 2/7*c**5 - 14*c**4 - 790/7*c - 12/7*c**3 + 604/7*c**2 + 42 = 0.
-3, 1, 49
Let d(h) be the third derivative of -h**7/840 - h**6/8 - 29*h**5/40 - 43*h**4/24 - 19*h**3/8 + 78*h**2 - 2. Factor d(b).
-(b + 1)**3*(b + 57)/4
Solve 2/9*z**5 - 10/3*z + 2*z**4 + 28/9*z**3 - 68/9*z**2 + 50/9 = 0 for z.
-5, -1, 1
Let y = 15615/18242 - -3/2606. Let w(q) be the second derivative of -q - 8/3*q**3 + 0 - 37/5*q**5 + 4*q**6 + 20/3*q**4 - y*q**7 + 0*q**2. Factor w(n).
-4*n*(n - 1)**2*(3*n - 2)**2
Let r(g) be the second derivative of 0*g**2 + 1/7*g**7 - 1 + 3*g - 1/2*g**3 - 1/2*g**6 + 1/4*g**4 + 9/20*g**5. Solve r(s) = 0.
-1/2, 0, 1
Let w(m) be the first derivative of -15/4*m**4 - 1 + 0*m + 0*m**3 + 0*m**2 - m**5. Find o such that w(o) = 0.
-3, 0
Let n be (3888/180)/27*4. Let d(g) = 2*g**3 - 2*g**2 - 2*g - 4. Let b be d(4). Let n*y**2 - 144/5*y**3 + 0*y - 392/5*y**5 + b*y**4 + 0 = 0. Calculate y.
0, 2/7, 1/2
Let z(g) = -2*g**3 - 7*g**2 + 1. Let b(c) = 9*c**3 - 36*c**2 + 72*c - 5. Let o(x) = -b(x) - 5*z(x). Find l such that o(l) = 0.
-72, 0, 1
Let b be -12 + (-1400)/(-21) + 96/8. Solve -b - 182/3*a**2 - 3*a**3 - 940/3*a = 0.
-10, -2/9
Let n(o) be the third derivative of o**8/110880 - o**7/1980 + o**6/165 - 121*o**5/60 + 48*o**2. Let z(l) be the third derivative of n(l). Solve z(h) = 0 for h.
2, 12
Let r(a) = -a**2 - 1. Let c(f) be the first derivative of 3*f**2/2 + f - 47. Suppose -4*i + 9 + 5 = 5*p, 5*i - 3*p = -1. Let v(j) = i*r(j) - c(j). Factor v(z).
-(z + 1)*(z + 2)
Suppose -2*i = i + w - 10, -5*i - 3*w = -22. Let k(d) be the first derivative of -d**3 - 67 + 0*d**3 - 3*d**i - 3*d + 48. Factor k(h).
-3*(h + 1)**2
Let v = 25 - 20. Let r be v - (-3)/(-9)*9. Let 310 + 184*a**r - 780*a - 20*a**3 - 130 + 61*a**2 = 0. What is a?
1/4, 6
Determine d so that 267/4*d**2 + 29/2*d**3 + 49/2*d - 106 + 1/4*d**4 = 0.
-53, -4, -2, 1
Suppose -2/5*o**2 + 0 + 534/5*o = 0. What is o?
0, 267
Find q, given that -17671/6*q + 1/6*q**4 + 263/2*q**2 + 8405/3 + 71/6*q**3 = 0.
-41, 1, 10
Suppose -97344/5 - 98592/5*u - 1/5*u**4 - 25588/5*u**2 - 316/5*u**3 = 0. Calculate u.
-156, -2
Suppose -14*t + 22*t = 112. Suppose -3*n = 32*l - 27*l - t, n + 5*l - 8 = 0. Factor -3/2 - 1/2*g**2 - 1/2*g**n + 5/2*g.
-(g - 1)**2*(g + 3)/2
Suppose -55*b + 179 = 69. Let k(a) be the second derivative of 0 + 3/8*a**5 + 3/4*a**3 - 16*a + 3/8*a**b + 3/40*a**6 + 3/4*a**4. Suppose k(z) = 0. Calculate z.
-1, -1/3
Let g(d) = -26268*d + 52539. Let c be g(2). Factor 2/5*l**c + 6/5*l - 6/5*l**2 - 2/5.
2*(l - 1)**3/5
Suppose -x - 5*i + 27 = 0, 3*x - 15*i = -12*i - 9. Let v(l) be the second derivative of 7/30*l**4 + 0 - 12/5*l**x - 8/3*l**3 - l. Factor v(h).
2*(h - 6)*(7*h + 2)/5
Solve 39 - 75*b + 33 + 2025033*b**2 - 2025030*b**2 = 0 for b.
1, 24
Let a = -5488 + 5488. Let k(z) be the second derivative of 0 + 0*z**3 + 1/70*z**7 + 1/25*z**6 - 10*z + a*z**2 + 0*z**4 + 0*z**5. Let k(n) = 0. What is n?
-2, 0
Let i = 40 + -34. Suppose 12 = 2*p + i. Factor q + 2*q**2 + 0*q - q**p - q.
-q**2*(q - 2)
Let g(l) be the second derivative of l**7/14 - 9*l**5/4 - 5*l**4/2 + 12*l**3 - 3241*l - 1. Let g(r) = 0. Calculate r.
-3, -2, 0, 1, 4
Let l(p) be the third derivative of 1/60*p**5 + 0*p - 43/12*p**4 - 2 - 3*p**2 + 1849/6*p**3. Suppose l(y) = 0. What is y?
43
Factor -526*w**2 + 0 - 4*w**4 + 0 + 1094*w**2 + 144*w**2 + 348*w**3.
-4*w**2*(w - 89)*(w + 2)
Let r(w) = 3*w**2 + 40*w - 77. Let a(g) = -2*g**2 - 42*g + 80. Let o(n) = 11*a(n) + 10*r(n). Factor o(t).
2*(t - 5)*(4*t - 11)
Let t(q) = -182*q**2 - 8*q + 34. Let f(g) = -183*g**2 - 8*g + 35. Let n be ((-6)/9)/(1/3). Let o = -9127 - -9130. Let c(h) = n*f(h) + o*t(h). Factor c(r).
-4*(5*r - 2)*(9*r + 4)
Suppose 5 = 8*p - 83. Determine v, given that -295 + 0*v**2 + 2*v**2 - 169*v - p*v + 4345 = 0.
45
Find g, given that 105000*g - 12250000 - 300*g**2 + 2/7*g**3 = 0.
350
Factor -1/2 - 209/4*g - 26*g**2.
-(g + 2)*(104*g + 1)/4
Let y = 383 + -381. Suppose -3 = 5*n - 3*z, 0*n + y*z = 3*n + 2. Solve 2/11*r**3 + n + 2/11*r**2 + 0*r = 0 for r.
-1, 0
Let v(i) be the second derivative of -29/160*i**5 - 31/12*i**3 + i**4 - 161*i + 1/80*i**6 + 3*i**2 + 0. Suppose v(d) = 0. What is d?
2/3, 2, 3, 4
Let u = -1734 - -1741. Let d be 7 + -5 - u/(28/(-4)). Factor -5/4*h**d + 0*h + 1/4*h**4 + 0 + h**2.
h**2*(h - 4)*(h - 1)/4
Let n(m) be the second derivative of -5*m**7/42 + 41*m**6/6 - 161*m**5/2 + 125*m**4 + 1860*m**3 + m - 11007. Find w, given that n(w) = 0.
-2, 0, 6, 31
Let n(u) = -u**2 - 2*u - 4. Let w = 5 + -3. Let b be (-5)/(-4)*-11 + (-1)/4. Let z(l) = -l. Let t(s) = b*z(s) + w*n(s). Solve t(k) = 0.
1, 4
Let c be (-36)/10*(-25)/15. Let k be 7 + -1 + (6 + -1 - c). Suppose 2 + 13*r + 2*r**4 + 0*r**3 + 4*r**3 - 4*r**2 - 2*r**k - 15*r = 0. Calculate r.
-1, 1
Let d(z) = 5*z**2 - 932*z + 2198. Let t(r) = 25*r**2 - 4571*r + 10989. Let v(l) = 11*d(l) - 2*t(l). Suppose v(k) = 0. What is k?
2, 220
Let y = -324364/7 - -46339. Determine c so that 0 - y*c**3 + 24/7*c**2 - 12/7*c = 0.
0, 2/3, 2
Determine r so that 0 - 4/9*r**4 - 2000/9*r - 52/9*r**3 + 1120/9*r**2 = 0.
-25, 0, 2, 10
Let x(p) be the first derivative of -4/9*p**3 + 4/3*p - 1/3*p**2 + 1/6*p**4 + 72. Solve x(g) = 0 for g.
-1, 1, 2
Suppose 23*d - 42 = 4. Suppose -3*r**2 - r**2 + 11*r**3 - d*r**3 - r**3 - 4*r**4 = 0. What is r?
0, 1
Suppose -151*x + 145*x = -18. Let l be (3/12)/(-9*(-14)/441). Factor 1/4*p**5 - l*p**x - 7/8*p**2 + 1/4 + 1/8*p**4 + 1/8*p.
(p - 2)*(p + 1)**3*(2*p - 1)/8
Let i(f) be the second derivative of -f**5/60 + 5*f**4/6 - 50*f**3/3 - f**2 + 11*f + 1. Let k(n) be the first derivative of i(n). Find y such that k(y) = 0.
10
Suppose 2 = 4*m - 6*m. Let j be 2 + (-21)/(-3) + (m - 2). Factor 2*o**2 + j*o + 28*o - 14*o - 20 - 7*o**2.
-5*(o - 2)**2
Let m(q) be the second derivative of -q**6/135 - 37*q**5/45 - 80*q**4/3 - 96*q**3 + 677*q. Factor m(i).
-2*i*(i + 2)*(i + 36)**2/9
Let t(p) be the second derivative of -p**4/54 - 28*p**3/27 + 92*p**2 + 4747*p. Factor t(b).
-2*(b - 18)*(b + 46)/9
Let a = -3967 - -3972. Let c(o) be the third derivative of 0*o**3 + 0*o**7 + 0*o + 0*o**a - 1/8*o**4 - 1/112*o**8 + 0 + 1/20*o**6 + 9*o**2. Factor c(x).
-3*x*(x - 1)**2*(x + 1)**2
Find w, given that -36/5*w - 174/5*w**2 + 128/5*w**3 + 0 - 22/5*w**4 = 0.
-2/11, 0, 3
Let a(k) be the first derivative of -59 + 1/25*k**5 + 17/20*k**4 - 8/5*k**2 - 1/30*k**6 + 19/15*k**3 - 4*k. Suppose a(r) = 0. What is r?
-2, -1, 1, 5
Factor 60*d**3 - 114*d**3 - 12*d - 3*d**2 + d**2 + 56*d**3.
2*d*(d - 3)*(d + 2)
Let k(y) = 2*y - 2. Let x be k(2). Suppose 54*l = 55*l - x. Factor 0 + 3*p**4 - 4/5*p**5 - 4/5*p**l - 12/5*p**3 + 0*p.
-p**2*(p - 2)**2*(4*p + 1)/5
Suppose 153/4*p + 39/4*p**2 - 3/4*p**4 + 27 - 9/4*p**3 = 0. Calculate p.
-3, -1, 4
Let t 