t is n?
-2, -1, 0, 1
Suppose -12 + 18 = 3*a - 2*n, 2*n = -4*a + 22. Let t(s) be the first derivative of 4/3*s**3 + 1/4*s**a + 3/2*s**2 + 18 + 0*s. Factor t(z).
z*(z + 1)*(z + 3)
Let m(z) = 97*z + 4. Let n be m(0). Let l(t) be the second derivative of 0 + 5/36*t**3 - 28*t - 1/144*t**n - 25/24*t**2. Factor l(o).
-(o - 5)**2/12
Suppose 3*d + 13*d = -50*d. Let m(n) be the second derivative of 0*n**4 + 3/20*n**5 - 13*n - 1/4*n**3 - 1/28*n**7 + 0*n**2 + d*n**6 + 0. Factor m(x).
-3*x*(x - 1)**2*(x + 1)**2/2
Suppose 15*m - m = 28. Factor -4*b**4 + 16*b**m + 7*b**3 - 3*b**3 + 0*b - 16*b.
-4*b*(b - 2)*(b - 1)*(b + 2)
Let l(d) be the first derivative of d**6/45 - 44*d**5/25 - 284*d**4/15 - 3488*d**3/45 - 784*d**2/5 - 2368*d/15 - 283. What is f in l(f) = 0?
-2, 74
Let v be -3 + 21 + 33449/(-1860). Let h(n) be the third derivative of 0*n + v*n**6 + 1/60*n**5 + 11*n**2 + 0*n**4 + 0*n**3 + 0 + 1/210*n**7. Solve h(s) = 0.
-1, 0
Let w(x) = 3*x**2 + 9*x. Let r(j) = j**2 + j. Let s be 4/10 + (16/10 - 4). Let f(i) = s*r(i) + w(i). Factor f(t).
t*(t + 7)
Let y(l) be the third derivative of -1/105*l**6 + 0*l + 2*l**2 - 2/735*l**7 + 1/105*l**5 + 1/21*l**4 + 0*l**3 + 1. Factor y(s).
-4*s*(s - 1)*(s + 1)*(s + 2)/7
Let g(n) be the second derivative of -n**4/18 - 1826*n**3/9 - 833569*n**2/3 + 889*n + 2. Factor g(a).
-2*(a + 913)**2/3
Let x(w) be the third derivative of -4*w**2 + 0 + 24*w + 0*w**3 - 13/6*w**4 - 17/120*w**6 - 1/210*w**7 - 14/15*w**5. Factor x(i).
-i*(i + 2)**2*(i + 13)
Suppose 4*d + 15 = 3, 4*b = -5*d + 173. Factor 55 - b + 84*n + 145*n**4 - 170*n**4 - 190*n**2 + 123*n**3.
-(n - 2)**2*(n - 1)*(25*n + 2)
Find f, given that -298*f + 149/2*f**3 + 12 + 95*f**2 - 49/2*f**4 = 0.
-2, 2/49, 2, 3
Let z(d) be the first derivative of 31*d**2 - 432*d + 331. Let c be z(7). Factor 0*h**3 - 2/3*h + 1/3*h**4 - h**c + 0.
h*(h - 2)*(h + 1)**2/3
Let -765 + 203368*o - o**2 + 45 - 203730*o = 0. What is o?
-360, -2
Let s(k) be the second derivative of k**4/42 + 510*k**3/7 - 30*k + 64. Suppose s(d) = 0. What is d?
-1530, 0
Let d be (-8)/(-6)*(26/8 + -3). Let v(r) be the third derivative of -2/3*r**4 - 8/15*r**5 + 0 + 15*r**2 - d*r**3 + 0*r. Factor v(x).
-2*(4*x + 1)**2
Let b(z) be the first derivative of -z**4/18 + 856*z**3/9 - 137815*z**2/3 + 1643524*z/9 - 7388. Factor b(i).
-2*(i - 641)**2*(i - 2)/9
Let o(u) = 15*u**3 - u**2 - 1807 - 13*u**3 + 1807. Let n(s) = -s**4 - s**2. Let f be ((-2)/(-1) + -4)/(-2). Let d(y) = f*o(y) - n(y). Factor d(c).
c**3*(c + 2)
Let p be (-1 + (-3167)/(-3171))*(-91065)/130. Let v = p + -4/151. What is c in -12/7*c**2 - v + 15/7*c + 3/7*c**3 = 0?
1, 2
Suppose -3*r**2 + 428 - 427*r + r**2 - 135*r + 136 = 0. What is r?
-282, 1
Let b = 130986 - 130982. Let c be (-21)/(-15) + (-2)/(-2). Factor -4*j + 4/5*j**3 + 4/5*j**b - 8/5 - c*j**2.
4*(j - 2)*(j + 1)**3/5
Suppose 0 = 2*q - 5*a + 6 + 3, -5*q - 2*a + 21 = 0. Solve -4*r - 28*r**3 - 28*r**3 - 3*r**2 - r**2 + 55*r**q = 0 for r.
-2, 0
Determine a so that 94/5*a + 19 - 1/5*a**2 = 0.
-1, 95
Let k(f) be the second derivative of -1/135*f**6 + 0*f**2 + 4/45*f**5 - 5/54*f**4 + 18*f - 2 - 50/27*f**3. Factor k(n).
-2*n*(n - 5)**2*(n + 2)/9
Let l = 459/1019 + -587778/157945. Let s = l - -120/31. Solve 6/5*h**3 + 3/5 + 3/5*h**4 - s*h - 3/5*h**5 - 6/5*h**2 = 0 for h.
-1, 1
Suppose -5*g = -402 - 688. Let t = -215 + g. Let 1/3*h**t - 1/3*h**2 - 5/3*h - 1 = 0. What is h?
-1, 3
Find m, given that 199097 + 290*m - 198509 - 2*m**2 + 0*m**2 = 0.
-2, 147
Solve -1944/7*i + 1728/7*i**2 + 6/7*i**4 + 0 + 30*i**3 = 0.
-18, 0, 1
Let o be 5/(-55) + 791/(-11). Let m be -3 + 0 - 6/(o/76). Solve 10/3*c**4 + 0 - 175/6*c**5 - m*c**2 - 10/3*c + 65/2*c**3 = 0.
-1, -2/7, 0, 2/5, 1
Let v(f) = -15*f**5 - 530*f**4 + 880*f**3 - 450*f**2 + 5*f - 5. Let q(b) = -2*b**5 - 19*b**4 - b**3 - b**2 + b - 1. Let w(t) = 5*q(t) - v(t). Factor w(z).
5*z**2*(z - 1)**2*(z + 89)
Let u(n) be the first derivative of 1/39*n**6 + 221 + 0*n**3 + 0*n**5 + 0*n**2 + 0*n - 1/26*n**4. Suppose u(s) = 0. Calculate s.
-1, 0, 1
Factor -108*g - 20*g**4 + 21*g**3 - 36*g**3 + 123*g + 20*g**2.
-5*g*(g - 1)*(g + 1)*(4*g + 3)
Let d(w) be the second derivative of -w**5/40 + 769*w**4/24 - 1535*w**3/12 + 767*w**2/4 - 8141*w. Find o, given that d(o) = 0.
1, 767
Let t(h) be the third derivative of -h**7/350 + 49*h**6/25 - 9988*h**5/25 + 37632*h**4/5 - 294912*h**3/5 + 11*h**2 + 2*h + 69. Suppose t(b) = 0. Calculate b.
4, 192
Solve 380*p**5 - 428146*p**2 + 425771*p**2 + 1465*p**4 + 24 + 36 + 320*p + 150*p**3 = 0.
-3, -2, -2/19, 1/4, 1
Let i(w) be the third derivative of -w**8/1344 - 11*w**7/420 - 83*w**6/240 - 28*w**5/15 - 49*w**4/96 + 343*w**3/12 - 18*w**2 + 14*w. Solve i(y) = 0.
-7, -2, 1
Determine c, given that -508*c**4 - 389572/5*c - 948022/5*c**2 + 85681/5*c**3 - 39304/5 + 5*c**5 = 0.
-1/5, 34
Let l(s) be the second derivative of -7/8*s**3 - 3/16*s**5 + 1/20*s**6 - 3/2*s**4 + 8*s + 15/4*s**2 + 0. Solve l(m) = 0.
-2, -1, 1/2, 5
Let m = 6389 - 223579/35. Let t = 86/35 - m. Let -t*r - 8/7*r**2 - 2/7*r**3 - 4/7 = 0. What is r?
-2, -1
Let b(q) be the second derivative of q**5/60 - 7*q**4/8 + 189*q**2/2 + 2*q + 44. Let k(z) be the first derivative of b(z). Determine j so that k(j) = 0.
0, 21
Let j(c) be the second derivative of 55*c - c**3 + 0 + 0*c**2 + 1/4*c**4. Factor j(x).
3*x*(x - 2)
Let x(i) be the second derivative of 40/3*i**3 + 48*i**2 + 0 - 14*i - 23/18*i**4 + 1/30*i**5. Let x(z) = 0. Calculate z.
-1, 12
Let n(m) = 7*m**4 + 9*m**3 - 9*m**2 - 33*m - 14. Let h(q) = 90*q**4 + 117*q**3 - 117*q**2 - 429*q - 183. Let r(c) = -4*h(c) + 51*n(c). What is j in r(j) = 0?
-3, -1, 2
Let f(x) be the second derivative of x**4/36 - 5*x**3/18 - 14*x**2 - 2*x - 1375. Let f(m) = 0. What is m?
-7, 12
Let p(i) = -10*i**2 + 75*i - 285. Let r(b) = 9*b**2 - 76*b + 288. Let k(c) = 4*p(c) + 5*r(c). Factor k(f).
5*(f - 10)*(f - 6)
Let o(i) = -5*i**5 + 94*i**4 + 67*i**3 + 104*i**2 - 17*i. Let t(y) = y**5 - 16*y**4 - 11*y**3 - 18*y**2 + 3*y. Let j(l) = -6*o(l) - 34*t(l). Factor j(w).
-4*w**2*(w + 1)**2*(w + 3)
Let l(t) = t**3 - 2*t**2 - 2*t - 5. Let k be l(0). Let a be k/((-4)/8*2). Factor 3*w**2 + 77*w - 77*w - a*w**2.
-2*w**2
Let n be (368/24)/(6/(-9)). Let k be (-46)/n - 2/(-3). Factor -2/3*t**5 + 0*t + 0 + k*t**2 - 2*t**4 + 0*t**3.
-2*t**2*(t - 1)*(t + 2)**2/3
Let m(x) be the first derivative of -3*x**4/4 + 24*x**3 - 69*x**2/2 - 3014. Factor m(z).
-3*z*(z - 23)*(z - 1)
Let g(n) be the third derivative of 0*n**5 - 2/315*n**7 - 2 + 0*n**3 - 1/60*n**6 + 0*n**4 + 0*n - 2*n**2 + 1/504*n**8. Let g(k) = 0. Calculate k.
-1, 0, 3
Let h(j) be the first derivative of j**2 - 4/21*j**3 - 196 - 1/14*j**4 - 8/7*j. What is o in h(o) = 0?
-4, 1
Let k = 338411 + -1353629/4. Factor -43/4*s**3 + 6*s**2 + k*s**4 + 0 + s.
s*(s - 2)*(s - 1)*(15*s + 2)/4
Suppose -2/17*g**4 + 4/17*g**3 - 24/17 - 16/17*g + 14/17*g**2 = 0. What is g?
-2, -1, 2, 3
Let n = -181779 - -3457851/19. Let w = n - 210. Factor -20/19*o**4 - w*o**3 - 12/19 - 2/19*o**5 - 80/19*o**2 - 50/19*o.
-2*(o + 1)**4*(o + 6)/19
Let o(v) = -6*v**2 + 610*v - 22498. Let p(x) = -7*x**2 + 615*x - 22497. Let u(r) = 3*o(r) - 2*p(r). Factor u(q).
-4*(q - 75)**2
Let i be (0 - -2) + -1 - (-8)/(-4). Let y be 2*(18/(-6) + 2)/i. Let 3/2*n**4 - 3*n**y + 6*n + 4 - 7/2*n**3 = 0. What is n?
-1, -2/3, 2
Let n(u) = -u**2 - 4*u + 34. Let v be n(4). Let s(f) be the second derivative of -1/10*f**v + 15*f + 1/100*f**5 + 1/60*f**4 + 0 - 1/30*f**3. Factor s(a).
(a - 1)*(a + 1)**2/5
Let m = 157 - 152. Solve -6*h**5 + 4*h**m - 7*h**5 + 90*h + 4*h**5 + 75*h**4 + 265*h**2 + 255*h**3 = 0.
-1, 0, 18
Suppose -3*z + 4*k = 15 - 32, 3*z + 2*k + 13 = 0. Let f be (-16 - -22) + (-3)/z. Factor f*d**2 + 109/4*d**3 + 63/2*d**4 + d + 0 + 49/4*d**5.
d*(d + 1)**2*(7*d + 2)**2/4
Factor 22/3*j**2 + 30 - 1/3*j**3 - 37*j.
-(j - 15)*(j - 6)*(j - 1)/3
Suppose -2*k = -12 + 8. Suppose k + 7 = z. Factor -15*o**4 + 11*o**5 - 10*o**3 + 6*o**5 - 20*o**5 - z*o**2 - 11*o**3.
-3*o**2*(o + 1)**2*(o + 3)
Let m(t) = -9*t**3 + t**2 - t - 1. Let g(a) = 60*a**3 + 2066*a**2 - 363230*a + 1764742. Let i(s) = g(s) + 7*m(s). Factor i(d).
-3*(d - 343)**2*(d - 5)
Let v be 3 + (8 + -1)*9/(-189)*7. Let s(x) be the third derivative of -1/4*x**4 - 2*x**2 + 0 + 0*x + 1/80*x**6 - 1/840*x**7 - 1/240*x**5 - v*x**3. Factor s(w).
-(w - 4)**2*