 - 13 = 0?
4
Suppose -k + 37 = -2*t - 27, 3*k = -4*t - 108. Let f be (1 - 30)*30/t. Suppose 4 + 28*m**3 - 17*m - 19*m + f*m**4 + 45*m**2 - 78*m**4 + 8*m = 0. What is m?
-1, 2/7, 1
Let d(c) be the second derivative of 3*c**5/10 + 65*c**4/8 + 32*c**3 + 21*c**2 - 2122*c. What is a in d(a) = 0?
-14, -2, -1/4
Let r(l) be the third derivative of -l**6/24 + 137*l**5 - 187690*l**4 + 411416480*l**3/3 - 2303*l**2. Factor r(n).
-5*(n - 548)**3
Let v(f) be the second derivative of -135*f**6/2 - 13329*f**5/4 - 14716*f**4/3 + 938*f**3 - 64*f**2 - 64*f - 120. Find p, given that v(p) = 0.
-32, -1, 2/45
Let z be (1980/(-24))/11*(-104)/260. Determine r, given that 0*r + 1/5*r**z + 2/5*r**2 + 0 = 0.
-2, 0
Let z be (-3)/30 - (-21)/60. Let s(d) be the first derivative of -4*d - 2*d**2 + z*d**4 + 1/3*d**3 + 5. Factor s(p).
(p - 2)*(p + 1)*(p + 2)
Let 2/9*o**2 + 30 + 16/3*o = 0. What is o?
-15, -9
Let c(j) = -j**2 - j - 2. Let g(a) = 258*a**2 + 450*a + 200. Suppose -10 = -3*h + 5*r + 11, 9 = 3*h - r. Let f(k) = h*c(k) + g(k). What is v in f(v) = 0?
-7/8
Let r(q) = -q**3 + 18*q**2 - 49*q + 70. Let b be r(14). Let l be 38/(-42) - 32/b*-7. Let -3/7*h**4 + 3/7*h**2 + 0 + l*h**5 - 3/7*h**3 + 0*h = 0. What is h?
-1, 0, 1
Let q(u) be the second derivative of -u**5/140 + u**4/4 + 2*u**3/3 - 66*u**2/7 - 3*u + 496. Factor q(d).
-(d - 22)*(d - 2)*(d + 3)/7
Let l(i) = i**3 - 3*i**2 + i - 17. Let m be l(4). Solve 196 + 25*t - 283*t**2 + 129*t + 2*t**m + 315*t**2 = 0 for t.
-7, -2
Suppose 0 = 8*h - 12*h + 2*b + 14, h + 4*b = -10. Let n = -41 - -59. Let 6 - 20*r + n + h*r**2 + 2*r**2 = 0. Calculate r.
2, 3
Let i = -216 + 221. Let h(m) be the third derivative of 0 + 1/48*m**4 + 0*m**3 + m**2 - 1/240*m**i - 1/480*m**6 + 0*m. Factor h(n).
-n*(n - 1)*(n + 2)/4
Let g(s) be the third derivative of -2*s**7/105 - 3*s**6 - 87*s**5/5 + 23*s**2 - 6*s + 2. Factor g(h).
-4*h**2*(h + 3)*(h + 87)
Let v be 256/(-320) + ((-483)/140 - -5). Factor -u**2 - v*u + 0 + 7/4*u**3.
u*(u - 1)*(7*u + 3)/4
Let 8 + 2*q**4 + 56/3*q - 50/3*q**2 - 4/3*q**3 = 0. What is q?
-3, -1/3, 2
Let u = 38 - 22. Let c be (-4)/(u/(-17))*28. Factor 233*t - 114*t + t**2 - c*t - t**3.
-t**2*(t - 1)
Let v be (16/(-264))/((-54)/99). Let z be ((-736)/(-180) - 4)/((-2)/(-5)). Factor -z*s**3 + 0 - 1/9*s**2 + v*s**4 + 2/9*s.
s*(s - 2)*(s - 1)*(s + 1)/9
Let v be (0 - 0)/(-150 + 151). Find n such that v - 9/5*n**2 + 1/10*n**5 + 0*n + 2/5*n**4 - 3/10*n**3 = 0.
-3, 0, 2
Let c(d) = -20*d**2 + 2*d + 2. Let m be c(-1). Let n = -3 - m. Factor -5*y + 3 - n - 2*y**2 + 21*y.
-2*(y - 7)*(y - 1)
Let r be 93 - 5*6/(-5) - -5. Suppose 7*m = 59*m - r. Factor -2/3*s**2 + m - 4/3*s.
-2*(s - 1)*(s + 3)/3
Suppose 17*b + 0 - 1/2*b**2 - 17*b**3 + 1/2*b**4 = 0. What is b?
-1, 0, 1, 34
Let d(a) be the first derivative of 11*a**3/9 - 17*a**2/3 - 40*a/3 + 1956. What is w in d(w) = 0?
-10/11, 4
Let i(t) be the second derivative of -3481*t**4/4 + 295*t**3 - 75*t**2/2 - 549*t + 1. Factor i(m).
-3*(59*m - 5)**2
Let 4380*z - 112 + 39 + 1 + 366*z**2 - 132*z**2 + 1234*z**2 = 0. Calculate z.
-3, 6/367
Let t = -2502 + 2502. Let b(f) be the second derivative of 9*f + 0*f**5 + 0 - 1/120*f**6 + t*f**3 - 1/8*f**2 + 1/24*f**4. Factor b(j).
-(j - 1)**2*(j + 1)**2/4
Suppose 18 + 50 = 33*d + 2. Let o(a) be the third derivative of 9*a**d + 0*a + 1/30*a**6 + 0*a**3 + 0 + 0*a**4 + 1/15*a**5. Factor o(u).
4*u**2*(u + 1)
Let h(s) = s**2 - 6*s + 2. Let a(l) = -5*l**2 - 60*l - 82. Let w(v) = a(v) + 3*h(v). Factor w(y).
-2*(y + 1)*(y + 38)
Let n(r) be the second derivative of -9*r**5/20 - 11*r**4/2 + 38*r**3 - 60*r**2 - 11*r + 10. Suppose n(v) = 0. Calculate v.
-10, 2/3, 2
Suppose 310*x - 313*x = 3, v - 4*x = 4. Let v + 48/5*o**2 - 21/5*o**3 - 36/5*o + 3/5*o**4 = 0. What is o?
0, 2, 3
Let l be 1*7*1047/2443. Let x(y) be the first derivative of -1/34*y**4 + 1/17*y**2 - 4/17*y - 9 + 4/51*y**l. Determine r so that x(r) = 0.
-1, 1, 2
Let b(m) be the first derivative of 8/9*m + 4/27*m**3 - 41 + 1/18*m**4 - 7/9*m**2. Factor b(l).
2*(l - 1)**2*(l + 4)/9
What is w in 1174*w - 3393*w - 4910656 - w**2 - 2213*w = 0?
-2216
Find j such that 3/7*j**2 - 138 + 963/7*j = 0.
-322, 1
Let v(a) = -90 - a**3 - 4*a - 5*a**2 + 2*a**3 + 81 - a**3 + a**3. Let n be v(6). Determine r, given that 0 + 0*r - 2/7*r**n - 4/7*r**2 = 0.
-2, 0
Factor 45*n**2 + n**3 + 2164*n + 2493*n - 4030*n + 2783.
(n + 11)**2*(n + 23)
Let i be 1029*7/189*-2. Let j = i - -1381/18. Factor -v + 0 + 1/2*v**2 + j*v**3.
v*(v - 1)*(v + 2)/2
Let t(p) be the first derivative of -p**5/45 - 5*p**4/2 + 52*p**3/3 - 331*p**2/9 + 95*p/3 + 425. Find z, given that t(z) = 0.
-95, 1, 3
Let l(u) be the second derivative of u**7/42 + u**6/6 + 3*u**5/10 - u**4/6 - 7*u**3/6 - 3*u**2/2 + 206*u. What is b in l(b) = 0?
-3, -1, 1
Let s be 30*13/((-455)/(-42)). Solve -148*p**3 - 124*p**4 + 747 + 0*p**5 - s*p**2 - 12*p**5 - 1501 + 754 = 0 for p.
-9, -1, -1/3, 0
Let i(t) = 5*t**3 + t**2 + 3*t. Let g(v) = 20*v**3 + 258*v**2 + 259*v. Let u(w) = g(w) - 3*i(w). Factor u(a).
5*a*(a + 1)*(a + 50)
Let j(c) be the first derivative of 2*c**6 - 20*c**5 - 27*c**4 + 108*c**3 + 8*c**2 - 144*c - 964. Determine k, given that j(k) = 0.
-2, -2/3, 1, 9
Let 18/5*c**2 - 18/5*c - 2/5*c**4 + 2/5*c**3 + 0 = 0. What is c?
-3, 0, 1, 3
Let v(s) = 13*s**2 + 3051*s + 5858. Let n(d) = -18*d**2 - 4271*d - 8198. Let k(y) = -12*n(y) - 17*v(y). Factor k(r).
-5*(r + 2)*(r + 121)
Let g(f) be the first derivative of -f**4 + 56*f**3/3 - 621. Factor g(x).
-4*x**2*(x - 14)
Suppose -5*s = -4*p - 8, 302*s - 13*p - 26 = 306*s. Factor -5*q + s + 1/3*q**2.
q*(q - 15)/3
Let w(g) be the third derivative of -g**5/360 + 233*g**4/144 + 13*g**3/2 - g**2 - 499. Let w(s) = 0. What is s?
-1, 234
Let a be ((-4)/4)/(-6 + 4 - 1). Let b(y) be the second derivative of -1/5*y**6 + y**2 + 0 + a*y**4 - 4*y - 1/5*y**5 - 1/21*y**7 + y**3. Factor b(f).
-2*(f - 1)*(f + 1)**4
Let f(v) = v**2 - 119*v + 3236. Let y be f(42). Solve -28/5*c + 16/5 - 2/5*c**3 + 14/5*c**y = 0.
1, 2, 4
Let j(m) be the second derivative of m**4/36 + 7*m**3/18 + m**2 - 567*m. Let j(g) = 0. What is g?
-6, -1
Let o(l) = -l**2 + 12*l + 4. Let n(d) = d**2 - 44*d - 20. Let p be n(0). Let y(k) = 1 - 2*k + k - 2. Let s(t) = p*y(t) - 5*o(t). Factor s(f).
5*f*(f - 8)
Let h(c) be the third derivative of -1/20*c**5 + 0 + 1/280*c**7 - 3/8*c**4 + 0*c**3 - 60*c**2 + 0*c + 3/160*c**6. Suppose h(n) = 0. Calculate n.
-3, -2, 0, 2
Let n(h) = 12*h - 6. Let b(t) = 3*t**2 - 11 - 6*t - 2*t**2 + 4*t + 27*t. Let i(s) = -2*s + 8. Let k be i(6). Let d(v) = k*b(v) + 10*n(v). Factor d(j).
-4*(j - 4)*(j - 1)
Let r(d) = 2*d**5 + 12*d**4 - 11*d**3 - 15*d**2 - 9*d - 3. Let b(l) = -3*l**3 - l**2 - 3*l - 1. Let g(t) = -3*b(t) + r(t). Factor g(c).
2*c**2*(c - 1)*(c + 1)*(c + 6)
Let f(m) = 6*m**2 + 231*m - 114. Let a be f(-39). Let s(t) be the first derivative of 0*t**4 - 16 - 2/45*t**5 + 0*t**2 + 0*t + 2/27*t**a. Factor s(u).
-2*u**2*(u - 1)*(u + 1)/9
Let t be (-2 + 4)*4/8*(6 - 1). Let p(i) be the third derivative of 11/320*i**6 + i**2 + 0 - 1/80*i**t - 11/64*i**4 + 1/8*i**3 + 0*i. Factor p(v).
3*(v - 1)*(v + 1)*(11*v - 2)/8
Let s(d) be the first derivative of 12*d + 7 - 5*d**2 + 2/3*d**3. Factor s(w).
2*(w - 3)*(w - 2)
Let r(k) be the third derivative of k**6/90 + k**5/3 + 7*k**4/2 + 23*k**3/3 - 149*k**2. Let q(c) be the first derivative of r(c). Factor q(i).
4*(i + 3)*(i + 7)
Let t = 17244 - 34485/2. Solve -h - t*h**2 + 0 - 1/2*h**3 = 0 for h.
-2, -1, 0
Let q(s) be the first derivative of s**4 + 712*s**3/3 - 2*s**2 - 712*s + 3845. Determine t, given that q(t) = 0.
-178, -1, 1
Let h(v) be the first derivative of 4*v**3/3 + 28*v**2 + 52*v - 68. Let l(i) = i + 1. Let g(z) = h(z) - 12*l(z). Factor g(t).
4*(t + 1)*(t + 10)
Let u(w) be the third derivative of 0*w - 1/126*w**7 + 0*w**3 + 5/36*w**5 + 4 - 5/1008*w**8 + 1/24*w**6 + 5/36*w**4 - 5*w**2. Factor u(y).
-5*y*(y - 2)*(y + 1)**3/3
Let l(q) be the third derivative of q**6/120 + 4*q**5/15 + 5*q**4/6 - 200*q**3/3 + 306*q**2 - 1. Factor l(r).
(r - 4)*(r + 10)**2
Let g(z) = -z**2 + 27*z + 59. Let y(o) = -2*o**2 + 26*o + 58. Suppose 3*v - 2*v = 40. Suppose -5*f - v = 3*f. Let u(a) = f*y(a) + 6*g(a). Factor u(j).
4*(j + 4)**2
Let q be 11/55*(54 + -60)/((-3)/10). Factor q*p + 0 + 2/7*p**2.
2*p*(p + 14)/7
Let n(z) be the second derivative of 