4*v**2 + 165 + 17*v**5 - 188/3*v**3 - 32*v. Suppose x(n) = 0. Calculate n.
-4, -2, 2/7, 2/3, 1
Suppose 14*r**2 - 63/4*r - 171/2 + 1/4*r**3 = 0. What is r?
-57, -2, 3
Let n(m) = 1744*m**3 - 7284*m**2 + 7436*m. Let u(q) = q**3 + 3*q**2 - 2*q. Let f(t) = n(t) + 20*u(t). Factor f(c).
4*c*(21*c - 43)**2
Let w = 25033 - 50021/2. Solve 0 + 29/2*t**2 + w*t**3 + 3*t + 27/2*t**4 + 5/2*t**5 = 0.
-3, -1, -2/5, 0
Factor 923/2*q**2 - 106722 - q**3 - 1/2*q**4 + 462*q.
-(q - 21)**2*(q + 22)**2/2
Let u(h) be the first derivative of 19 - 8/15*h**3 + 1/5*h**4 + 4/25*h**5 - 1/5*h**2 + 4/5*h - 1/15*h**6. Determine y, given that u(y) = 0.
-1, 1, 2
Suppose 9 = 5*b - r, 13*r - 10*r = 5*b - 7. Factor -b*g**4 + 6*g**2 - 33*g + 85*g - 26*g - 22*g.
-2*g*(g - 2)*(g + 1)**2
Let g(s) be the first derivative of 0*s**2 + 75 + 5*s**4 - 4*s**3 + 0*s + 8/5*s**5. Solve g(l) = 0 for l.
-3, 0, 1/2
Factor -1/3*k**3 + 11/3*k**2 + 160/3 + 172/3*k.
-(k - 20)*(k + 1)*(k + 8)/3
Let o = -143/5 + 1151/40. Let k(s) be the first derivative of o*s**5 - 10 - s**2 - 19/32*s**4 - 1/48*s**6 + 1/2*s + 25/24*s**3. Factor k(a).
-(a - 2)**2*(a - 1)**3/8
Let h = -27522 - -27536. Let b(d) be the first derivative of 11*d**2 + 2/3*d**3 - h - 24*d. Factor b(c).
2*(c - 1)*(c + 12)
Let d(i) = 37*i**2 + 1. Let u be d(1). Suppose k - u = -k. Let -28*q**4 + k*q**4 - 42*q**3 - 63*q**2 + 27*q - 9*q**3 = 0. What is q?
-3, 0, 1/3
Let b(t) = 15*t**3 + 231*t**2 + 855*t - 1101. Let r(f) = -47*f**3 - 693*f**2 - 2564*f + 3304. Let l(o) = 19*b(o) + 6*r(o). Find p such that l(p) = 0.
-73, -5, 1
Let b(y) be the third derivative of y**7/70 - 3*y**6/10 + 3*y**5/10 + 13*y**4/2 + 33*y**3/2 + 11441*y**2. Factor b(d).
3*(d - 11)*(d - 3)*(d + 1)**2
Let l = -4/119017 - -2856436/833119. Factor 0 + 10/7*o**3 + 8/7*o - l*o**2.
2*o*(o - 2)*(5*o - 2)/7
Let v(s) be the first derivative of -s**3/6 + 17*s**2/2 + 287*s/2 - 1573. Find b, given that v(b) = 0.
-7, 41
Let y = -97/30 + 49/10. Let q(i) be the first derivative of 4 - 5*i**2 + y*i**3 + 0*i. Find m, given that q(m) = 0.
0, 2
Let r(c) be the second derivative of -c**5/60 - c**4/6 - c**3/2 - 73*c**2 - 80*c. Let s(p) be the first derivative of r(p). Factor s(l).
-(l + 1)*(l + 3)
Let x(s) be the second derivative of 0*s**2 - 2/105*s**7 - 17/25*s**5 + 0*s**3 - 8/15*s**4 - 10 - 4/15*s**6 + s. Factor x(d).
-4*d**2*(d + 1)**2*(d + 8)/5
Find x, given that 112/3 - 156*x - 208/3*x**3 + 194*x**2 - 6*x**4 = 0.
-14, 4/9, 1
Let n(v) be the first derivative of -v**3/3 - 6*v**2 - 36*v - 2500. Find g, given that n(g) = 0.
-6
Let v(d) = -d**4 - 24*d**3 - 141*d**2 - 2*d + 1. Let i(z) = -z**4 - 10*z**3 + z**2 + 2*z - 1. Let k(l) = i(l) + v(l). Suppose k(j) = 0. What is j?
-10, -7, 0
Let s(z) be the third derivative of -z**5/105 + 373*z**4/42 + 482*z**2 - z. Factor s(x).
-4*x*(x - 373)/7
Let i(v) = -18*v**2 + 6*v**2 - 9*v**2 + v**3 + 24 + 15*v + 4*v. Let b be i(20). Solve -24 + 18*x - x**2 - 53 - b = 0 for x.
9
Suppose -o - 2 = -0*o + 2*c, 0 = o + 3*c + 4. Factor -16 + 4*l**4 + 16*l**3 + 17*l + 10*l**o - 33*l + l**2 + l**2.
4*(l - 1)*(l + 1)*(l + 2)**2
Let z(r) = 4*r**4 + 23*r**3 - 48*r**2 + 31*r - 5. Let y(f) = -2*f**4 - 24*f**3 + 48*f**2 - 32*f + 6. Let v(c) = 5*y(c) + 4*z(c). Suppose v(q) = 0. What is q?
1, 5/3
Let q(b) = -10*b**3 + 464*b**2 - 6771*b + 33743. Let a(d) = -5*d**3 + 231*d**2 - 3384*d + 16872. Let i(t) = 7*a(t) - 3*q(t). Suppose i(z) = 0. What is z?
15
Suppose 2649/5*s + 3516/5 + 9/5*s**2 = 0. Calculate s.
-293, -4/3
Let a = -183 + 187. Let k(f) be the third derivative of 0 - 1/48*f**a + 1/240*f**6 + 0*f + 0*f**3 + 1/420*f**7 - 9*f**2 - 1/120*f**5. Solve k(s) = 0.
-1, 0, 1
Factor -196249/6 - 1/6*m**2 + 443/3*m.
-(m - 443)**2/6
Let a(i) be the second derivative of -1/2*i**3 + 3/20*i**5 - 3 + 6*i + 1/4*i**4 - 3/2*i**2. Solve a(v) = 0.
-1, 1
Let d(p) be the second derivative of -53*p**4/12 - p**3/5 + 3173*p. Factor d(v).
-v*(265*v + 6)/5
Let y(v) be the first derivative of 2*v**5/15 - 31*v**4/6 + 208*v**3/3 - 336*v**2 + 1243. Factor y(b).
2*b*(b - 12)**2*(b - 7)/3
Suppose 3*b = -22 + 31, t = -2*b + 9. Solve -31 + q**2 + q**t + 31 - 2*q + 0*q = 0.
-2, 0, 1
Let g be ((-35)/28)/((-2)/32). Factor -2*i**2 - 30 - 3*i**2 - 16*i + 11*i - g*i.
-5*(i + 2)*(i + 3)
Suppose -15*o + 1729 - 1699 = 0. Let v(d) be the first derivative of 0*d + 1/8*d**4 + 1/3*d**3 + 7 + 0*d**o. Let v(w) = 0. What is w?
-2, 0
Let u(x) = -x - 15. Let p be u(-17). Factor -2*k**p + 16 - 6*k + 28 - 24.
-2*(k - 2)*(k + 5)
Let a(i) be the third derivative of -5*i**8/336 + i**7/6 - 3*i**6/8 - 23*i**5/12 + 125*i**4/12 - 20*i**3 + 1987*i**2. Find j, given that a(j) = 0.
-2, 1, 3, 4
Suppose 656*o - 629*o = 513. Let b(x) be the second derivative of -4/9*x**2 - 4/27*x**3 - 1/54*x**4 + 0 - o*x. Determine k, given that b(k) = 0.
-2
Let n be (((-84)/232)/(-7))/((-75)/1300). Let j = n - -512/377. Factor j*u**2 + 14/13*u**3 + 0*u + 0.
2*u**2*(7*u + 3)/13
Let v be (36/(-5))/(27/((-675)/(-10))). Let u be v*14/(-63) - (-8)/(-20). Factor 6/5*s**4 + u*s + 0 + 6/5*s**3 - 6*s**2.
6*s*(s - 1)**2*(s + 3)/5
Let a(g) be the second derivative of -3*g**6/25 + g**5/25 + 39*g**4/10 + 82*g**3/15 - 24*g**2/5 + 8*g - 80. Find f such that a(f) = 0.
-3, -1, 2/9, 4
Let f(p) be the first derivative of 1/2*p**4 - p**2 + 138 - 1/20*p**5 + 0*p + 1/12*p**3. Factor f(n).
-n*(n - 8)*(n - 1)*(n + 1)/4
Let m(k) = -5*k**4 - 2*k**2 + 3*k - 5. Suppose -13*b = -0 - 39. Let n(d) = 16*d**4 + 8*d**2 - 10*d + 16. Let y(u) = b*n(u) + 10*m(u). Factor y(z).
-2*(z - 1)**2*(z + 1)**2
Let x = 48 + -53. Let y be 0 - (-1*11)/(x/(-110)). Factor y - 28*k + 6*k + 2*k**2 - 6*k - 16*k.
2*(k - 11)**2
Suppose -r + 2*r = -3, -5*z + 281 = -2*r. Suppose -78*l = -z*l - 69. Factor -6/5 + 3/5*s**l + 0*s**2 - 9/5*s.
3*(s - 2)*(s + 1)**2/5
Let v(b) be the first derivative of -b**4/21 + 46*b**3/21 + 48*b**2/7 - 58*b + 107. Let u(y) be the first derivative of v(y). Let u(k) = 0. What is k?
-1, 24
Let i = -86071 + 86074. Factor -25/6*d**2 - 1/6*d**4 - 3/2*d**i - 5/3 - 9/2*d.
-(d + 1)**2*(d + 2)*(d + 5)/6
Let g(t) be the second derivative of -t**5/80 - 9*t**4/16 - 27*t**3/4 + 253*t. Let g(j) = 0. What is j?
-18, -9, 0
Let o = -1063194 + 4252797/4. Factor o*h + 1/4*h**4 + 15/4*h**3 + 61/4*h**2 - 49/2.
(h - 1)*(h + 2)*(h + 7)**2/4
Let z = 7220/31923 + -14/3547. Factor z*p**3 + 6*p**2 - 392/9 + 112/3*p.
2*(p - 1)*(p + 14)**2/9
Let v be ((-18)/(-24)*4 - -2) + 3. Let b be (2/v)/((-33)/(-1496)) + -6. Let -8/3 - 2/3*d**2 + b*d - 2/3*d**5 - 14/3*d**3 + 10/3*d**4 = 0. Calculate d.
-1, 1, 2
Let s = 60056/9435 - 1320/629. Suppose -4/5*o**2 + 0*o + 2/15*o**3 + s = 0. What is o?
-2, 4
Factor -2345/2*n - 5/4*n**2 - 4685/4.
-5*(n + 1)*(n + 937)/4
Let 600*p**3 + 1368 - 315*p**5 + 168*p**4 - 168*p**2 + 319*p**5 - 2823*p + 1035*p - 184*p**2 = 0. Calculate p.
-38, -3, 1
Let b(s) be the first derivative of -4*s**3/3 + 260*s**2 - 1024*s + 2535. Let b(v) = 0. Calculate v.
2, 128
Let m = -1121148 + 1121151. Determine f, given that 1/4*f**m + 1/2*f + 0 + 3/4*f**2 = 0.
-2, -1, 0
Suppose 0 = -12*k + 62*k - 3*z - 130, -k = -2*z - 22. Factor -29/2*y**k - 6 - 1/2*y**4 - 16*y - 5*y**3.
-(y + 1)**2*(y + 2)*(y + 6)/2
Let q = 479442 - 479442. Find n, given that 0 + 2/21*n**4 + 0*n + q*n**2 + 38/7*n**3 = 0.
-57, 0
Factor -2/7*h**2 - 576/7 + 578/7*h.
-2*(h - 288)*(h - 1)/7
Let w(p) = -p**2 + 26*p - 21*p - 41 + 68 + 151 + 25*p. Let j be w(35). Suppose -81/7*u**j + 27/7*u**4 - 39/7*u + 6/7 + 87/7*u**2 = 0. What is u?
1/3, 2/3, 1
Let j(v) be the second derivative of 7/2*v**3 - 1/6*v**4 - 27*v + 0 + 1/60*v**5 + 1/180*v**6 + 0*v**2. Let q(o) be the second derivative of j(o). Factor q(x).
2*(x - 1)*(x + 2)
Factor 13972389/2*f + 501/2*f**3 - 251001/4*f**2 - 2333388963/8 - 3/8*f**4.
-3*(f - 167)**4/8
Suppose -2/9*g**2 + 74/9*g - 8 = 0. Calculate g.
1, 36
Let j(w) = -49*w**5 + 914*w**4 - 2074*w**3 + 964*w**2 - 132*w. Let l(n) = 2*n**4 + n**3 - 2*n**2 - 2*n. Let u(r) = 3*j(r) - 6*l(r). Solve u(o) = 0.
0, 2/7, 2, 16
Let 812/3 - 2/3*o**2 + 34*o = 0. What is o?
-7, 58
Factor 78/5 + 583/5*h - 3*h**2.
-(h - 39)*(15*h + 2)/5
Let u(f) = -f**2. Let n(h) be the second derivative of -h**4/6 + 7*h**3/6 + 6*h**2 - 9*h + 2. Let b(l) = n(l) - 3*u(l). Factor b(r).
(r + 3)*(r + 4)
Let g be 1308/42 + 37 + -48 - (-1 - -16). Find i such that -10/7*i**2 + 16/7 + g