) = 8*d + 136. Let u be t(-14). Suppose 18*q + u = 60. Factor -16/5*s - 44/5*s**q - 2*s**3 + 0.
-2*s*(s + 4)*(5*s + 2)/5
Let u(s) be the first derivative of -15 - 1/40*s**6 + 0*s**4 + 3/8*s**2 - 3/40*s**5 + 1/4*s**3 - 4*s. Let a(t) be the first derivative of u(t). Solve a(p) = 0.
-1, 1
Let p = 612541/5 - 122508. Factor -4/5*n**3 + 0*n + 3/5*n**2 + p*n**4 + 0.
n**2*(n - 3)*(n - 1)/5
Find x, given that -80/3*x + 92/9*x**2 + 236/9*x**3 - 92/9*x**4 + 4/9*x**5 + 0 = 0.
-1, 0, 1, 3, 20
Solve -100/7*x + 14 + 2/7*x**2 = 0 for x.
1, 49
Let 274/13*i**2 + 2/13*i**3 + 0*i + 0 = 0. What is i?
-137, 0
Let q(p) = 10*p - 8. Let j be q(1). Suppose 3*l + 3*z = 30, j*z + 10 = 2*l - z. Factor -b**4 - 2*b**4 + 24*b + 11 + l + 9*b**2 - 6*b**3 - 7.
-3*(b - 2)*(b + 1)**2*(b + 2)
Let d(i) be the first derivative of i**6/15 - 61*i**5/30 + 5*i**4/4 - i**2 + 5*i - 212. Let n(x) be the second derivative of d(x). Find v such that n(v) = 0.
0, 1/4, 15
Let d(h) = -h**3 - 408*h**2 + 803*h - 6967. Let w be d(-410). Let 0 - 7/3*o**2 - 2/9*o + 11/9*o**w = 0. What is o?
-1/11, 0, 2
Let d = -22761 + 159353/7. Factor 2/7*r**3 + 96/7*r + d*r**2 + 72/7.
2*(r + 1)*(r + 6)**2/7
Let o = 329/78 + 3248/39. Suppose o*h - 6125/4 - 5/4*h**2 = 0. What is h?
35
Let 0 + 20/7*n**3 - 48/7*n**2 + 0*n - 2/7*n**5 + 6/7*n**4 = 0. Calculate n.
-3, 0, 2, 4
Let a be 28/(-616) - 402/(-132). Let j(c) be the first derivative of -1/3*c**2 + 31 - 1/2*c**4 + 0*c - 2/3*c**a - 2/15*c**5. What is r in j(r) = 0?
-1, 0
Suppose -18 = -7*f + 2*y, 4*f + 83 - 99 = 4*y. Factor -9*x - 1/3*x**f - 26/3.
-(x + 1)*(x + 26)/3
Let z(t) = -3*t**4 + t**3 + t**2 - t + 2. Let r(c) = 25*c**4 - 75*c**3 + 160*c**2 + 270*c - 620. Let g(w) = -r(w) - 10*z(w). Factor g(y).
5*(y - 2)**2*(y + 2)*(y + 15)
Factor 790/17*m - 396/17 - 392/17*m**2 - 2/17*m**3.
-2*(m - 1)**2*(m + 198)/17
Suppose -57*a = -87*a + 60. Let l(t) = 12*t**3 - t + 11. Let v(s) = s**3 + 2*s**2 + 2*s + 1. Let u(m) = a*l(m) - 22*v(m). What is y in u(y) = 0?
-1, 0, 23
Find p, given that 21/2 + 3/8*p**2 + 33/8*p = 0.
-7, -4
Let y(w) be the third derivative of 7*w - 1/1680*w**7 - 2*w**2 + 0*w**3 + 1/160*w**5 - 1/96*w**4 + 0*w**6 + 0. Solve y(f) = 0 for f.
-2, 0, 1
Let v(d) be the second derivative of d**5/160 - 11*d**4/64 + 9*d**3/8 + 89*d**2 - 13*d - 1. Let w(y) be the first derivative of v(y). Solve w(q) = 0 for q.
2, 9
Let v(f) be the third derivative of -f**5/270 + 271*f**4/108 - 1934*f**2. Solve v(i) = 0.
0, 271
Let u(t) be the second derivative of 2*t - 152/33*t**3 - 1/11*t**5 + 2 - 79/66*t**4 + 16/11*t**2. Let u(d) = 0. What is d?
-4, 1/10
Let k = 1682/2265 - 92/151. Factor 6/5*g - 4/5*g**2 + k*g**3 - 8/15.
2*(g - 4)*(g - 1)**2/15
Let f(d) = -7*d**3 - 9*d**2 - 6. Let r be (0 - 2)/(4/(-10)). Let v(x) = -772 + 55*x**3 - 8*x**2 + 767 - 61*x**3. Let o(k) = r*f(k) - 6*v(k). Solve o(z) = 0.
-3, 0
Let r be (((-133)/(-42))/(-19)*8/(-4))/(-111 - -112). Determine g so that -1/3*g - r*g**4 + 1/3*g**2 + 0 - 2/3*g**5 + g**3 = 0.
-1, 0, 1/2, 1
Let m(y) be the first derivative of -2*y**3/3 - 28*y**2 + 186*y + 1387. Factor m(g).
-2*(g - 3)*(g + 31)
Let u = 45 - 45. Suppose -m + 3*h + u*h = 13, 0 = -3*m + 4*h - 14. Solve -8*i**2 + 9*i**m - 25*i - 6*i**2 - 20 = 0.
-4, -1
Let j = 7612/8897 - -2/1271. Suppose 99*f - 14 = 97*f + 4*z, 4*z + 8 = 0. Factor 0 - j*c**2 - 8/7*c + 2/7*c**f.
2*c*(c - 4)*(c + 1)/7
Factor 0 + 187/6*j + 1/6*j**2.
j*(j + 187)/6
Let j = 638269/140 + -4559. Let b(m) be the second derivative of j*m**5 - 23*m + 0 + 1/28*m**4 + 0*m**2 + 0*m**3. Factor b(f).
3*f**2*(3*f + 1)/7
Let r(v) be the third derivative of -v**6/180 + 17*v**5/90 + 55*v**4/18 - v**2 - 1547*v + 3. Find p such that r(p) = 0.
-5, 0, 22
Suppose -d - 5 = 3*t - 4*t, 3 = -3*d. Suppose t*g = 4, -3*r - g + 21 = -2*r. Let -12 + y - 10*y**4 + 2 - 5*y**5 - y + r*y**2 + 10*y**3 - 5*y = 0. Calculate y.
-2, -1, 1
Let q(h) be the second derivative of -h**4/42 + 454*h**3/21 - 904*h**2/7 + 885*h. Solve q(c) = 0 for c.
2, 452
Let k(h) = -h - h**2 - 777 - 2*h**2 + 3*h**2 + 774 + 2*h**2. Suppose -1 - 5 = o. Let c(l) = l + 1. Let w(q) = o*c(q) - 2*k(q). What is y in w(y) = 0?
-1, 0
Let n = 4075 - 4073. Let b(o) be the second derivative of 9/2*o**n + 1/12*o**4 - 19*o + 0 - o**3. What is t in b(t) = 0?
3
Let q(v) be the second derivative of v**6/15 + 7*v**5/10 - v**4/2 - 19*v**3/3 + 14*v**2 - 991*v - 1. Factor q(d).
2*(d - 1)**2*(d + 2)*(d + 7)
Let f(n) be the first derivative of -n**4 - 24*n**3 + 170*n**2 - 264*n + 3083. Factor f(j).
-4*(j - 3)*(j - 1)*(j + 22)
Let v(h) be the third derivative of h**8/420 - 2*h**7/105 - h**6/18 + h**3/3 + 10*h**2 + 1. Let y(p) be the first derivative of v(p). Factor y(f).
4*f**2*(f - 5)*(f + 1)
Let g(z) be the first derivative of z**8/5040 + z**7/420 + 58*z**3/3 + 3. Let c(h) be the third derivative of g(h). Determine r so that c(r) = 0.
-6, 0
Solve 41209 + 203*x + 1/4*x**2 = 0 for x.
-406
What is b in -17/3*b**2 - 1150/3*b + 136 = 0?
-68, 6/17
Let d = 14 - 5. Suppose -30*r + 31*r = d. Solve 3*n**2 + 45*n + 3*n**5 - 39*n - r*n**3 + n**4 - 4*n**4 = 0.
-1, 0, 1, 2
Let m(d) = 12*d + 207. Let j(z) = -3*z - 52. Let c(i) = 9*j(i) + 2*m(i). Let x be c(-18). Factor 0 + x*b + 2/3*b**4 - 2/3*b**2 + 0*b**3.
2*b**2*(b - 1)*(b + 1)/3
Let p(l) be the second derivative of l**6/2520 - 3*l**5/70 + 27*l**4/14 - 47*l**3/6 - 58*l. Let x(a) be the second derivative of p(a). Factor x(c).
(c - 18)**2/7
Let t(p) be the first derivative of -8/55*p**5 - 5/22*p**4 + 0*p - 4/33*p**3 + 35 + 0*p**2 - 1/33*p**6. Factor t(s).
-2*s**2*(s + 1)**2*(s + 2)/11
Let y(g) be the second derivative of -g**7/4200 - 7*g**6/1800 - g**5/60 + 2*g**3 + 30*g. Let m(f) be the second derivative of y(f). Factor m(x).
-x*(x + 2)*(x + 5)/5
Factor -764955*z - 8019/7*z**2 - 3/7*z**3 + 766101.
-3*(z - 1)*(z + 1337)**2/7
Suppose 4*z + 3344 = 3*q, -2*q + 2*z - 465 + 2695 = 0. Let y = 10046/9 - q. Determine l so that -10/9*l**3 - y*l + 0 + l**2 + 1/3*l**4 = 0.
0, 1/3, 1, 2
Suppose 15*s + 7*s = 132. Suppose 0 = 5*z + 2*i - 18, s = -5*z + 2*i + 2*i. Factor 50/7 + 2/7*v**z - 20/7*v.
2*(v - 5)**2/7
Let u(g) be the third derivative of -g**8/21 - 146*g**7/105 + 23*g**6/5 - 41*g**5/15 - 10*g**4/3 + 71*g**2 + 14*g. Determine r so that u(r) = 0.
-20, -1/4, 0, 1
Let k be 64/20 + (-246)/205. Let m(d) be the first derivative of 0*d**k + 0*d**3 + 0*d + 1/10*d**4 + 21 - 1/25*d**5. Find h, given that m(h) = 0.
0, 2
Let u = -357727/7 + 51106. Factor 4/7*h**4 - u*h**3 - 3/7*h - 2/7 + 16/7*h**2.
(h - 2)*(h - 1)**2*(4*h + 1)/7
Suppose 67*l - 8 = 126. Suppose 0 - 2/7*j**l + 2*j = 0. What is j?
0, 7
Let y(l) be the second derivative of 75/2*l**2 - 12*l**3 - 1/4*l**4 + 121*l + 0. Factor y(i).
-3*(i - 1)*(i + 25)
Factor 0 + 9/2*d**2 - 7*d - 1/2*d**3.
-d*(d - 7)*(d - 2)/2
Let b(j) = -j**3 + 5*j**2 - 5*j + 6. Let u be b(4). Determine q so that -6 - 2*q - 2*q - q - 10*q - 12*q**u - 3*q**3 = 0.
-2, -1
What is x in -266*x**2 - 911451*x - 4*x**3 + 3*x**3 + 385932*x - 982524*x - 356400829 - 1861*x**2 = 0?
-709
Suppose 84*g = 57*g + 24408. Let r = g + -6319/7. What is z in -r*z**3 - 6/7 + 9/7*z + 6/7*z**2 = 0?
-1, 2/3, 1
Let p(z) be the first derivative of -z**5/420 + 3*z**4/56 + 6*z**3/7 - 93*z**2/2 - 2*z + 126. Let f(d) be the second derivative of p(d). What is r in f(r) = 0?
-3, 12
Let n(o) be the first derivative of -o**5/40 - 13*o**4/4 - 97*o**2/2 - 174. Let d(v) be the second derivative of n(v). Factor d(p).
-3*p*(p + 52)/2
Let i(l) be the third derivative of l**6/40 - 7*l**5/36 - 49*l**4/72 - 5*l**3/18 - 34*l**2 + 38. Find y such that i(y) = 0.
-1, -1/9, 5
Suppose i - 17 = -f, -4*i - i - 45 = -5*f. Suppose 0 = 4*j - x + 6*x - f, -2 = -2*j + 2*x. Factor 3/4 - 7/4*v**j + 5/4*v**3 - 1/4*v.
(v - 1)**2*(5*v + 3)/4
Suppose -4*s - l = 17, -5*s + 6 + 4 = -5*l. Let r = 0 - s. Find k, given that 7*k**3 - 5*k**4 + 6*k**r + k**2 - 5*k**2 - k**3 = 0.
0, 2/5, 2
Let f = -171 + 151. Let u be (-66)/f*92/69. Factor -u*k**2 + 42/5*k**3 - 34/5*k**4 + 4/5*k + 2*k**5 + 0.
2*k*(k - 1)**3*(5*k - 2)/5
Let n = -720 + 722. Factor -26 - 6234*y**2 + 3121*y**2 - 11*y + 3114*y**n.
(y - 13)*(y + 2)
Let p(o) be the second derivative of -o**7/5040 + 11*o**6/1440 - 9*o**4/2 - 21*o. Let z(i) be the third derivative of p(i). Suppose z(h) = 0. What is h?
0, 11
Let u be -13 + 3 + (-7 - -11). Let q(o) = -o*