Suppose 5*t - 17*q + 12 = -20*q, 0 = v*t + q + 4. Factor 7/5*s + 1/5*s**2 + t.
s*(s + 7)/5
Let -1/2*a**2 - 3/2*a - 1 = 0. Calculate a.
-2, -1
Suppose -72*i + 41*i + 2232 = 0. Let l be ((-9)/i)/((-12)/32). Factor -l*k**2 - 12 - 4*k.
-(k + 6)**2/3
Let r(i) = 10*i - 76. Let k be (-2)/(((-10)/(-15))/(8/(-3))). Let m be r(k). What is j in -m*j**3 + 3*j**3 + 4*j**3 - 9*j**2 + 0*j**3 = 0?
0, 3
Let t be (-87)/6*4/(-116). Suppose 3/2*i**3 - t*i + i**4 + 0 + 0*i**2 = 0. Calculate i.
-1, 0, 1/2
Let m be 41/((-10332)/(-588))*72/70. Factor -1/5*w**3 - 48/5*w + m*w**2 + 64/5.
-(w - 4)**3/5
Let n(g) = 2*g**2 + g + 0*g + 78 + 0*g - 79. Let j be n(1). Factor 62*d**2 - 31*d**j - d + 9*d - 29*d**2.
2*d*(d + 4)
Let b(c) be the second derivative of 5*c**6/36 - 151*c**5/24 + 67*c**4/36 + 119*c**3/9 + 10*c**2 - 2035*c. Determine j so that b(j) = 0.
-2/5, 1, 30
Let n(v) be the second derivative of -3/10*v**5 - 25 - 7/9*v**4 + v - 2/3*v**2 - v**3 - 2/45*v**6. Determine y, given that n(y) = 0.
-2, -1, -1/2
Let b = -322803/35 + 69042/7. Let i = -640 + b. Suppose i*s**4 + 4/5 - s**2 + 3/5*s - 3/5*s**3 = 0. What is s?
-1, 1, 4
Let q(y) be the second derivative of -8*y**2 + 0 + 13/6*y**4 - 174*y + 14/3*y**3 - 9/10*y**5. Let q(k) = 0. What is k?
-1, 4/9, 2
Let k(g) be the first derivative of g**6/2 + 504*g**5/5 - 3*g**4/4 - 168*g**3 - 7452. Determine r, given that k(r) = 0.
-168, -1, 0, 1
Let r be ((-48)/(-78))/((-8 + 2)/((-52)/(0 + 4))). Suppose -r*x**3 + 4*x + 10/3*x**2 + 0 - 2/3*x**4 = 0. What is x?
-3, -1, 0, 2
Factor -20*m**2 + 3*m**4 - 1010 + 1970 - 21*m + 16*m**3 - 75*m - m**5 - 1024.
-(m - 4)**2*(m + 1)*(m + 2)**2
Determine s so that -124937*s + 24931*s + 917764 + 324132*s - 1912*s**2 + 230924*s + 2*s**3 = 0.
-2, 479
Factor -136/3*a + 52 - 44/3*a**2 + 8*a**3.
4*(a - 3)*(a - 1)*(6*a + 13)/3
Let s(p) = 6*p**2 - 111*p + 1077. Let o(b) = -7*b**2 + 110*b - 1075. Let m(w) = 3*o(w) + 4*s(w). What is q in m(q) = 0?
19
Let y be ((-30)/(-27))/1*(61 - 11720/200). Factor -4/3 + 22/3*t - 26/3*t**2 + y*t**3.
2*(t - 2)*(t - 1)*(4*t - 1)/3
Let v = -484 + 486. Suppose v*h - 3*o + 6 = -5, 2*o = -h + 12. Factor 3/4 - 3/4*g**h - 3/4*g**3 + 3/4*g.
-3*(g - 1)*(g + 1)**2/4
Suppose 5*y + 1068 = -2*d + 1097, 0 = -2*y + d - 1. Factor 5*l**y - 1/2*l**4 + 30*l - 18 - 37/2*l**2.
-(l - 3)**2*(l - 2)**2/2
Let r(p) be the third derivative of -p**5/150 + 17*p**4/30 + 7*p**3/3 - 2756*p**2. Factor r(m).
-2*(m - 35)*(m + 1)/5
Let p = 130 + -125. Let j(m) be the third derivative of 1/180*m**4 + 1/450*m**p + 0 - 1/45*m**3 - 1/900*m**6 + 0*m - 18*m**2. Determine b, given that j(b) = 0.
-1, 1
Suppose j + 22 = -5*x, -92*j + 3*x = -96*j - 3. Factor -d**3 - 19*d**3 - 21*d + 3*d**4 + 49*d**2 - 4*d**2 - d**j - 6*d**3.
3*d*(d - 7)*(d - 1)**2
Let r(l) be the third derivative of -2*l**7/735 + 19*l**6/105 + 3*l**5/7 - 39*l**4/7 - 737*l**2 - 3. Let r(j) = 0. What is j?
-3, 0, 2, 39
Let l(k) be the third derivative of -334*k**2 + 1/190*k**5 + 0*k**4 - 1/114*k**6 + 0 + 1/798*k**8 - 3/665*k**7 + 0*k**3 + 0*k. Determine y, given that l(y) = 0.
-1, 0, 1/4, 3
Let q(i) be the second derivative of -13/36*i**4 + 68*i + 0 + 0*i**2 + 1/9*i**3. Factor q(c).
-c*(13*c - 2)/3
Let l(m) = m**2 - 8*m - 25. Let u be l(11). Suppose 2*z = 4 + 6. Let 40*y**3 + 6 - 6 - u*y + 25*y**4 + z*y**2 - 2*y = 0. Calculate y.
-1, 0, 2/5
Let v = 23 - 19. Solve 2*t**2 + v + 305*t - 313*t + 2*t**2 = 0.
1
Suppose -22*r = 19 - 48 + 7. Let j(y) be the first derivative of -256*y + 32*y**2 - 4/3*y**3 + r. Factor j(m).
-4*(m - 8)**2
Determine l, given that -698*l - 405*l**3 + 642*l - 409*l - 798*l**2 - 75*l**4 - 219*l - 216 = 0.
-2, -6/5, -1
Factor 2/9*i**2 + 104/3 - 160/9*i.
2*(i - 78)*(i - 2)/9
Suppose -5*h = -d + 5*d - 40, 0 = h - 5*d - 37. Factor 6*a**2 - 2727 + 2691 - 3*a**2 + h*a.
3*(a - 2)*(a + 6)
Solve 2*h**2 - 4/3*h - 2/3*h**4 + 0*h**3 + 0 = 0.
-2, 0, 1
Suppose v - 9 = -8*v. Let p(y) = -y**3 - y**2. Suppose -4*d = -0*d - 4. Let w(r) = -4*r**3 - 4*r**2 + 10*r. Let u(k) = d*w(k) + v*p(k). Factor u(j).
-5*j*(j - 1)*(j + 2)
Suppose -255*n + 148 = 639*n - 4322. What is p in 20/3*p**n + 0 - 64/3*p**2 - 20*p**3 - 16/3*p + 8/3*p**4 = 0?
-1, -2/5, 0, 2
Let x = 2009403 - 8036289/4. Factor 1449/4*f - x - 129/4*f**2 + 3/4*f**3.
3*(f - 21)**2*(f - 1)/4
Let y(s) be the third derivative of -s**5/15 + 4*s**4/3 + 70*s**3 - 540*s**2. Determine i so that y(i) = 0.
-7, 15
Let j = -98 - -102. Let m = 2 + -1. Let -m - 14*f**2 + j*f**3 + 10*f + 5*f**3 - 1 - 3*f**3 = 0. Calculate f.
1/3, 1
Let o = 1195 + -867. Factor 32 + 169*x + o*x**2 + 140*x**3 + 3*x + 75*x - 27*x.
4*(x + 1)*(5*x + 1)*(7*x + 8)
Factor 107087 + 4*m**2 + 84*m + 186572 - 2852*m + 191371 - 6166.
4*(m - 346)**2
Suppose 0 + 57/5*p**3 + 98/5*p**2 - 56/5*p**4 + 9/5*p**5 - 24/5*p = 0. Calculate p.
-1, 0, 2/9, 3, 4
Let k(x) be the second derivative of 5*x**7/84 + 83*x**6/60 + 73*x**5/20 - 493*x**4/6 - 310*x**3/3 + 200*x**2 - 18*x + 11. Find v, given that k(v) = 0.
-10, -1, 2/5, 4
Factor -182/5 + 1/10*g**2 - 6/5*g.
(g - 26)*(g + 14)/10
Let n(u) = 4*u**2 + 156*u - 326. Let h be n(-41). Let 0 - 2*x**4 - 20/3*x**3 + 16/3*x - 8/3*x**h = 0. Calculate x.
-2, 0, 2/3
Let c be ((-30)/(-48))/(225/600). Let k(o) be the first derivative of 19 + 7/2*o**2 + 2*o + c*o**3. Find m such that k(m) = 0.
-1, -2/5
Suppose 4*a + 4*n - 1380 = 0, 885*n = 5*a + 880*n - 1655. Factor -2/3*r**3 - 494/3*r - 58/3*r**2 - a.
-2*(r + 3)*(r + 13)**2/3
Let o(m) = -25*m**2 + 29*m + 27. Let k(v) = 12*v**2 - 14*v - 14. Suppose -17*a = -2*a - 60. Let h(z) = a*o(z) + 10*k(z). Find g such that h(g) = 0.
-4/5, 2
Let f(n) = n**3 + 8*n**2 - 17*n - 13. Let u be f(-9). Let j = 297/5 - u. Suppose -2/5 + j*h**2 + 0*h = 0. What is h?
-1, 1
Let c(n) be the first derivative of -12/5*n + 111 + 22/5*n**2 + 1/15*n**3 - 13/10*n**4 - 7/25*n**5. Find h, given that c(h) = 0.
-3, -2, 2/7, 1
Let f(o) be the first derivative of -o**7/5880 - o**6/360 + o**5/840 + o**4/24 - 209*o**3/3 + 295. Let k(t) be the third derivative of f(t). Factor k(v).
-(v - 1)*(v + 1)*(v + 7)/7
Let t(g) = -9*g**4 - 113*g**3 - 308*g**2 + 4340*g - 3918. Let r(a) = 20*a**4 + 225*a**3 + 620*a**2 - 8680*a + 7835. Let d(j) = 2*r(j) + 5*t(j). Factor d(x).
-5*(x - 4)*(x - 1)*(x + 14)**2
Let i be ((-18)/15)/(351/7605) + 29. Suppose 9/7*z**i + 318/7*z - 15*z**2 - 24 = 0. Calculate z.
2/3, 4, 7
Let s(u) be the second derivative of -u**6/20 - 51*u**5/20 - 63*u**4/8 + 17*u**3/2 + 48*u**2 - 974*u - 3. Suppose s(x) = 0. Calculate x.
-32, -2, -1, 1
Let b(p) be the second derivative of -2/15*p**6 + 1/8*p**3 + 0*p**2 + 1/56*p**7 + 4*p - 1/3*p**4 - 7 + 13/40*p**5. Solve b(c) = 0 for c.
0, 1/3, 1, 3
Suppose -4*v**5 + 28*v**2 + 287*v**3 - 12*v - 262*v**3 - 2*v**4 + 2*v**5 - v**5 = 0. Calculate v.
-2, 0, 1/3, 3
Let q(b) be the third derivative of b**6/40 + 13*b**5/20 - 53*b**4/4 + 76*b**3 + b**2 + 44*b - 1. Factor q(y).
3*(y - 4)*(y - 2)*(y + 19)
Let u(t) be the third derivative of -27*t**7/140 + 93*t**6/10 - 1183*t**5/120 - 215*t**4/12 - 9*t**3 - 39*t**2 - 12*t. Determine p, given that u(p) = 0.
-2/9, 1, 27
Find z such that -286*z - 8*z**5 - 254*z + 58*z**3 + 490*z - 6*z**4 - 3*z**2 - 3*z**2 + 12 = 0.
-3, -1, 1/4, 1, 2
Let l(o) be the third derivative of -o**5/210 - 23*o**4/84 - 2*o**3 - 452*o**2 - 3. Determine f so that l(f) = 0.
-21, -2
Let c = 1225987 + -1225985. Factor -7*d - 1/3*d**c - 38/3.
-(d + 2)*(d + 19)/3
Suppose 0 = -4*n + 2*s + 16, -3*n - 14 = -2*n + 4*s. Let z(q) = q**2 - 3*q + 2. Let o be z(12). Factor -179*i - 40 + 50*i**3 - 8*i**2 - 13*i - o*i**n - 92*i**2.
2*(i - 5)*(5*i + 2)**2
Let p(i) be the first derivative of -5*i**5/84 - 85*i**4/28 - 867*i**3/14 + 127*i**2/2 + 138. Let s(c) be the second derivative of p(c). Factor s(y).
-(5*y + 51)**2/7
Let u be 80/112*(-2)/(-10). Let h(g) be the first derivative of -3/7*g**2 + 3/28*g**4 + 0*g - 26 - u*g**3. Factor h(r).
3*r*(r - 2)*(r + 1)/7
Let 82/5*l - 2/5*l**2 - 156 = 0. What is l?
15, 26
Let t(o) be the second derivative of 25/6*o**4 + 5/6*o**3 - 5/6*o**6 + 5/42*o**7 + 2 - 1/2*o**5 - 25/2*o**2 - 3*o. Suppose t(l) = 0. What is l?
-1, 1, 5
Suppose 5*v + 5*w = 55, 6 + 19 = 5*w. Suppose -v*x = -x - 10. Factor 8*i + 2*i**2 - x*i - 3 + 2 - 7.
2*(i - 1)*(i + 4)
Let x(l) be the second derivative of 0 - 154*l - 5/63*l**7 + 32/9*l**4 + 11/15*l**6 - 16/3*l**2 - 3