, 15
Determine z, given that -102 - 54*z - 3/2*z**2 = 0.
-34, -2
Let p(m) be the third derivative of -91*m**2 - 1/240*m**6 - 15/4*m**3 - 11/120*m**5 + 1 - 13/16*m**4 + 0*m. Factor p(k).
-(k + 3)**2*(k + 5)/2
Let u(o) be the second derivative of o**7/3360 + o**6/160 - 7*o**5/160 - o**4/12 - 3*o**2 - 9*o. Let n(m) be the third derivative of u(m). Factor n(f).
3*(f - 1)*(f + 7)/4
Let q(c) be the first derivative of c**3/9 - 5*c**2/2 - 16*c/3 + 182. Factor q(x).
(x - 16)*(x + 1)/3
Let f(p) be the second derivative of -p**7/5460 - p**6/780 - p**5/390 + p**3/2 - 74*p. Let g(m) be the second derivative of f(m). Suppose g(a) = 0. Calculate a.
-2, -1, 0
Solve 5*u**2 + 15*u**3 - 5 - 5 + 3464*u - 3479*u + 5*u**4 = 0 for u.
-2, -1, 1
Let j(w) be the third derivative of w**6/30 + 71*w**5/6 - 89*w**4/6 - 391*w**2 + w. Factor j(d).
2*d*(d + 178)*(2*d - 1)
Factor 7/2*g - 4/3*g**3 - 25/12*g**2 + 0 - 1/12*g**4.
-g*(g - 1)*(g + 3)*(g + 14)/12
Let g = -70 + 64. Let b be (-1)/(-2)*-6*(5 + g). Factor -976*s**3 + 39*s + 978*s**b - 7*s + 16*s**2.
2*s*(s + 4)**2
Let s(t) be the second derivative of -2/11*t**5 + 80/33*t**3 + 16/33*t**4 - 3/55*t**6 + 8 - 3*t + 16/11*t**2. Suppose s(v) = 0. Calculate v.
-2, -2/9, 2
Let i(p) = 2*p**3 - 7*p**2 + 16*p + 43. Let n be i(-10). Let u be (2/(20/(-6)))/(n/1565). Factor 2/3*x - u*x**4 + 0*x**3 + x**2 + 0.
-x*(x - 2)*(x + 1)**2/3
Let f be ((8/(-8))/(10/2))/(1396/(-5235)). Let 0 + 3/4*h**2 - f*h**4 - 3*h + 3*h**3 = 0. Calculate h.
-1, 0, 1, 4
Determine x so that -9680 + 439/5*x**2 + 1/5*x**3 + 9592*x = 0.
-220, 1
Let c(q) be the first derivative of -5/9*q**3 + 25/6*q**2 - 79 - 10*q. Find j such that c(j) = 0.
2, 3
Let k(z) = 8*z - 7. Let q be k(17). Factor 17*n + 42*n**2 - 12*n**3 - q*n + 54*n**2 + n**4 - 7*n**4 + 2*n**4.
-4*n*(n - 2)**2*(n + 7)
Let r be (41 - (-6 - -14)) + -2 + 1. Let i be (-14)/21*(2 + r/(-4)). Solve -1/3*h**i + 1/3*h - h**2 + h**3 + 0 = 0.
0, 1
Factor 198 - 483/5*g + 3/5*g**3 + 42/5*g**2.
3*(g - 5)*(g - 3)*(g + 22)/5
Let c be ((-4)/6)/(1*3/(-72)). Let n(k) = -6 - k - 11 + c. Let a(o) = -o**2 - o - 4. Let f(j) = a(j) - 3*n(j). Factor f(g).
-(g - 1)**2
Let q(s) be the third derivative of -s**8/1512 - 5*s**7/63 - 103*s**6/27 - 2464*s**5/27 - 9680*s**4/9 - 149072*s**3/27 + 2204*s**2. What is j in q(j) = 0?
-22, -7, -2
Let v be (-261)/58*56/(-63). Let q(a) be the third derivative of 12*a**2 + 0*a + 0*a**3 + 1/8*a**v + 1/20*a**5 + 0. Suppose q(k) = 0. Calculate k.
-1, 0
Let w(g) = -2*g**5 - 31*g**4 - 7*g**3 + 25*g**2 - 6. Let a(j) = 3*j**5 + 62*j**4 + 12*j**3 - 52*j**2 + 10. Let b(i) = 3*a(i) + 5*w(i). Let b(z) = 0. What is z?
-1, 0, 1, 31
Let i(b) = 14*b + 85. Let s be i(3). Suppose 132*p = s*p. Find h, given that 0*h**3 - 1/5*h + 2/5*h**2 + p + 1/5*h**5 - 2/5*h**4 = 0.
-1, 0, 1
Let i(a) = 10*a**2 + 27*a + 32. Let h(l) = -8*l**2 - 25*l - 32. Let x(k) = -4*h(k) - 3*i(k). Let b be x(-2). Factor 8/7 - 4/7*p**b - 4/7*p.
-4*(p - 1)*(p + 2)/7
Let l be (-23)/(-2) - (-21307)/(-3278). Let z = -22 - -113/5. Let z*u**l - 3/5*u**4 - 3/5 + 6/5*u**2 + 3/5*u - 6/5*u**3 = 0. What is u?
-1, 1
Suppose x = 2*d - 5, -d + 7*x - 9*x = -10. Factor 40*y**2 - y**3 + y + 321*y**4 - 41*y**2 - 320*y**d.
y*(y - 1)**2*(y + 1)
Let o be (-3)/1 - 2*-9. Determine w so that -20*w - 39*w**2 + 67*w**3 - o*w**4 - w**2 - 12*w**3 = 0.
-1/3, 0, 2
Let b(g) be the first derivative of -g**6/285 - 7*g**5/190 - 8*g**4/57 - 4*g**3/19 + 41*g + 1. Let o(a) be the first derivative of b(a). Factor o(c).
-2*c*(c + 2)**2*(c + 3)/19
Let b be 5 + (-1 - 4 - (-109)/2943). Let n(l) be the third derivative of -48*l**2 + 0 - 1/60*l**5 + 0*l + b*l**3 - 7/216*l**4. Factor n(j).
-(j + 1)*(9*j - 2)/9
Let j(i) be the second derivative of -i**5/10 + 33*i**4/2 + 100*i**3/3 + i - 10. Let j(p) = 0. What is p?
-1, 0, 100
Let q(f) be the third derivative of -5*f**6/12 - 59*f**5/12 - 35*f**4/2 + 15*f**3/2 - 10*f**2 + f. Factor q(b).
-5*(b + 3)**2*(10*b - 1)
Let g = 24 + 4. Let h = g - 16. Determine m so that 9*m**2 - 34*m - h*m - 19*m - 4*m**2 = 0.
0, 13
Suppose 290*h + 515*h + 2*h**2 - 3*h**2 - 4*h**2 = 0. What is h?
0, 161
Factor 38/5*t**2 - 68/5*t + 16/5 + 14/5*t**3.
2*(t - 1)*(t + 4)*(7*t - 2)/5
Let z(o) = 15*o**5 + 15*o**4 - 33*o**3 - 99*o**2 + 189*o + 6. Let i(x) = 4*x**5 + x**4 + x**3 - x**2 - x + 2. Let a(h) = -3*i(h) + z(h). Solve a(y) = 0 for y.
-4, 0, 2
Let m(o) be the first derivative of -2/57*o**3 - 6/19*o - 4/19*o**2 + 39. Factor m(h).
-2*(h + 1)*(h + 3)/19
Suppose 2*p + 150 = -4*k, -k + 3*p - 87 = k. Let h = k - -42. What is r in 4*r**3 + 129*r**5 - 21*r**5 - 76*r**h - r - 3*r - 32*r**2 = 0?
-1/3, 0, 1
Find f such that 0*f - 1260020*f**3 + 2510*f**4 - 5/3*f**5 + 0 + 632530040/3*f**2 = 0.
0, 502
Let o = 56466 + -56462. Find z, given that -2*z**2 - 2/3*z**o + 0 - 2*z**3 - 2/3*z = 0.
-1, 0
Let a(p) = -22*p**2 - 704*p - 6828. Let i(z) = -2*z**2 - 64*z - 617. Let n(b) = 6*a(b) - 68*i(b). Factor n(f).
4*(f + 13)*(f + 19)
Let h = 3549 + -3546. Let j(v) be the second derivative of 27*v - v**2 + 0 + 1/2*v**4 - 2/3*v**h. Factor j(x).
2*(x - 1)*(3*x + 1)
Let l = -49594 - -49594. Find d, given that l + 0*d**2 - 2/7*d**5 + 0*d - 32/7*d**3 - 16/7*d**4 = 0.
-4, 0
Suppose 3*q + 2*q - j - 17 = 0, -q + j + 1 = 0. Factor -5 + q*g**2 + 161*g - 165*g - 3*g**2.
(g - 5)*(g + 1)
Let h = 82 + -78. Suppose 3*l - 8*l = -h*k + 67, -87 = -5*k + 3*l. Determine b so that -17*b**2 + k + 7*b**2 + 13*b**2 + 0*b - 15*b = 0.
2, 3
Let y = -2983 - -2983. Factor 2/13*n**4 + y + 6/13*n**3 + 6/13*n**2 + 2/13*n.
2*n*(n + 1)**3/13
Let p = 59/2 - 27. Suppose -c - q + 11 = 0, -24*c - 2*q + 14 = -26*c. Factor -1/4*n**c + p*n - 25/4.
-(n - 5)**2/4
Let o be (128/(-960))/(1/12)*((-60)/8 - -5). Factor 5/3*q**2 + 0 - 17/6*q**3 + 4*q - 1/2*q**o.
-q*(q + 1)*(q + 6)*(3*q - 4)/6
Let g(h) be the second derivative of h**4/4 - 80*h**3 + 477*h**2/2 + 10001*h. Factor g(t).
3*(t - 159)*(t - 1)
Let w be 370/22 - -1 - 4/(-22). Let o = -11 + w. Determine p so that -25*p**2 - 2 - 35*p - 5*p**3 + 7*p**2 - 13 - o*p**2 = 0.
-3, -1
Let q(c) be the third derivative of c**7/420 + c**6/240 - 37*c**5/40 + 177*c**4/16 - 117*c**3/2 + 162*c**2 - 1. Factor q(h).
(h - 6)*(h - 3)**2*(h + 13)/2
Suppose 20 = 4*d - 4*c, -28 = 6*d - 10*d + 8*c. Factor -8*f**3 + 7*f**d + 3*f**4 + 0*f**4 - 2*f**4 - 2*f**4.
-f**3*(f + 1)
Let p(b) be the second derivative of 1/80*b**5 + 1/24*b**4 + b + 0*b**3 + 5 + 0*b**2. Solve p(i) = 0.
-2, 0
Find q such that -4*q - 19*q + 8*q**3 - 1062*q**2 + 1073*q**2 + 5*q - q**4 = 0.
-2, 0, 1, 9
Let z(b) = 295*b**2 + 2426*b - 237. Let s(u) = 98*u**2 + 808*u - 78. Let r(f) = 17*s(f) - 6*z(f). Solve r(i) = 0 for i.
-8, 3/26
Let b(p) be the third derivative of 16*p**5/15 - 124*p**4/3 + 1922*p**3/3 + 9330*p**2. Suppose b(x) = 0. Calculate x.
31/4
Suppose 2*m = 9*z - 6*z, -3*m = 4*z - 17. Solve 2/11*s + 3/11*s**z - 1/11 = 0.
-1, 1/3
Let x be (2 - 4 - 2) + 9. Let i = -3 - -7. Factor -i*f + f**2 - 112*f**4 + x*f**2 + 110*f**4.
-2*f*(f - 1)**2*(f + 2)
Let z(g) be the first derivative of -g**6/24 + 31*g**5/20 - 87*g**4/16 + 85*g**3/12 - 7*g**2/2 + 7329. Determine l, given that z(l) = 0.
0, 1, 28
Let s(r) be the first derivative of -r**7/840 - r**6/90 - r**5/40 - 19*r**3/3 - 54. Let g(h) be the third derivative of s(h). Determine x so that g(x) = 0.
-3, -1, 0
Let w be (-1086)/(-108) - -4 - 14. Let a(z) be the first derivative of -4/45*z**5 + 4/27*z**3 + 0*z**2 - w*z**4 + 1/27*z**6 - 18 + 0*z. Solve a(f) = 0 for f.
-1, 0, 1, 2
Let 2/11*g**4 + 378/11*g - 34/11*g**2 + 392/11 - 18/11*g**3 = 0. Calculate g.
-4, -1, 7
Let i(f) be the first derivative of 7*f**3/3 - 7023*f**2/2 + 2006*f - 3414. Factor i(y).
(y - 1003)*(7*y - 2)
Let m = -51101/8 - -6388. Let z(b) be the first derivative of -b + 9 + 1/10*b**5 + 3/4*b**2 + 1/6*b**3 - m*b**4. Determine c, given that z(c) = 0.
-1, 1, 2
Let a be (129/(-6) + 2)*40/(-12). Suppose 2*g**3 + 85*g - 2*g**3 + 0*g**3 + 5*g**3 + 170*g - a*g**2 - 315 = 0. What is g?
3, 7
What is y in -512 + 2296*y - 114*y**3 + 96*y**3 + 2*y**3 - 988*y**2 = 0?
-64, 1/4, 2
Let t(u) be the first derivative of -11*u**5/140 + 3*u**4/28 + 4*u**3/7 + 2*u**2/7 + 28*u + 5. Let i(n) be the first derivative of t(n). Solve i(j) = 0 for j.
-1, -2/11, 2
Let i be (-22)/352*464/(-145). Factor 19/5*f - i*f**2 - 18/5.
-(f - 18)*(f - 1)/5
Let q(m) = 