) + j(h). Suppose v(q) = 0. What is q?
-1, 19
Let a = -944339 - -944343. Let b be ((-2)/1 - -2)/(-1). Solve 0*c**2 + 0*c - 1/3*c**3 + b - 7/6*c**a = 0 for c.
-2/7, 0
Let a(v) = 3*v + 69. Let z be a(-21). Factor -z - 3*y + 0 + 93*y**2 + 33*y + 57*y.
3*(y + 1)*(31*y - 2)
Suppose 0 = 3*a - 3*q + 15, a = q + 3*q - 11. Let v be (-1 + (-21)/(-18))*(0 - a). Find p, given that -v*p**4 + p**3 - 1/2*p + p**2 - 1/2*p**5 - 1/2 = 0.
-1, 1
Let a(y) be the third derivative of -1/7*y**7 + 5/6*y**4 + 6*y**2 + 15/112*y**8 + 0*y**3 + 1/3*y**5 - 1 - 11/24*y**6 + 0*y. Factor a(u).
5*u*(u - 1)**2*(3*u + 2)**2
Let q be (-2)/(-26) - 8547/(-1443). What is y in -q*y**2 + y**3 + 0*y**2 + 2*y**3 - 21*y - 14*y + 26*y = 0?
-1, 0, 3
Factor 3/4*j**3 + 891*j + 45*j**2 + 5832.
3*(j + 18)**2*(j + 24)/4
Let j(g) = -3*g + 17. Let o be j(7). Let x = o - -8. Suppose 10 - 24*h + 26*h**2 - 12*h**3 - 2 + h**x + h**4 = 0. What is h?
1, 2
Let g(t) be the first derivative of t**6/9 + 8*t**5/3 + 6*t**4 - 4*t**3/9 - 37*t**2/3 - 12*t - 1952. What is f in g(f) = 0?
-18, -1, 1
Let r(f) be the first derivative of 51 - 16*f + 68/3*f**3 - 18*f**4 + 0*f**2 + 4*f**5. Find n such that r(n) = 0.
-2/5, 1, 2
Let z(m) be the first derivative of m**6/16 - m**5/20 - 5*m**4/16 + m**3/2 - 31*m**2/2 - 28. Let t(d) be the second derivative of z(d). Solve t(s) = 0 for s.
-1, 2/5, 1
Let i(q) = -q**3 - 10*q + 2. Let d(l) = 222*l**2 + 2900*l + 8852. Let n(c) = 2*d(c) + 4*i(c). Suppose n(w) = 0. What is w?
-6, 123
Let h(n) be the first derivative of 22*n**5/25 - 49*n**4/20 + 2*n**3/3 - 1241. Factor h(d).
d**2*(d - 2)*(22*d - 5)/5
Let i(o) be the second derivative of o**4/18 + 20*o**3/9 + 91*o**2/3 + 2394*o. What is y in i(y) = 0?
-13, -7
Let l be (-16 - 1339/(-52)) + (-18)/2. Let b(w) be the first derivative of l*w**2 - 1 - 11/24*w**3 - 1/2*w + 3/32*w**4. Factor b(c).
(c - 2)*(c - 1)*(3*c - 2)/8
Let z(o) = -2*o**2 - 8*o + 9. Let h be z(-4). Let c be (39 - 1)*h/18. Factor 7*m**2 + 10*m**3 - 11*m**2 + c*m**2 - 5*m**4.
-5*m**2*(m - 3)*(m + 1)
Suppose 0 = 11*v - 10*v - f, 0 = -2*v + 3*f - 2. Let n(q) = 5*q**5 - 2*q**3 + 3*q**2 - 3. Let j(p) = p**5 + p**2 - 1. Let y(o) = v*n(o) - 6*j(o). Factor y(u).
4*u**3*(u - 1)*(u + 1)
Let t(g) be the second derivative of -g**4/78 + 5*g**3/13 + 100*g**2/13 - 2*g - 25. What is n in t(n) = 0?
-5, 20
Factor 15/4*s**3 + 31/4*s**2 + 17/4*s + 1/4.
(s + 1)**2*(15*s + 1)/4
Let n be -3 - -3*(-3 - 24/9). Let v be (n/2)/(-4 - -2). Suppose 5*u**5 - 5*u**5 - 2*u**4 + u**v + u**3 = 0. Calculate u.
0, 1
Factor 56/5*d**2 + 4/5*d**3 - 124/5*d + 64/5.
4*(d - 1)**2*(d + 16)/5
Let f(g) be the first derivative of -g**6/15 - g**5 - 17*g**4/6 - 8*g**3/3 + 32*g + 78. Let i(o) be the first derivative of f(o). What is m in i(m) = 0?
-8, -1, 0
Suppose -7*l + 10*l = 456. Factor -6*d**3 + 3*d**4 + 284*d**2 - l*d**2 - 141*d**2.
3*d**2*(d - 3)*(d + 1)
Let k be 96/(-320)*6*(-21)/((-1134)/(-60)). Determine g so that 23/6*g - 1/6*g**k + 4 = 0.
-1, 24
Let z(f) = -f**3 + 4*f**2 + 11*f + 1. Let j be z(-2). Factor -231*p + 56*p**4 + 49*p**4 + 33 - 370*p**j + 52 - 5*p**5 + 530*p**2 - 114*p.
-5*(p - 17)*(p - 1)**4
Let a(h) be the first derivative of 2*h**5/15 + 67*h**4/3 + 262*h**3/9 - 266*h**2/3 - 270. Determine u, given that a(u) = 0.
-133, -2, 0, 1
Determine j, given that 257*j**2 + 1455*j**4 + 20*j**5 + 469*j**2 - 355*j - 21*j**2 - 790*j**3 + 3285*j**3 = 0.
-71, -1, 0, 1/4
Let l be 2 + (-8)/10 - (-132)/15. Suppose 49*d = 54*d - l. Solve 1/6*g + 0 - 1/6*g**d = 0.
0, 1
Let j(x) = -4*x**2 + 3*x - 4. Let v be j(2). Let t be ((-12)/(-3) + v)/(-2). Find q, given that -5*q + t*q**3 - 2 + 1 - 4 + 5*q**2 = 0.
-1, 1
Factor -186/13*w + 188/13 - 2/13*w**2.
-2*(w - 1)*(w + 94)/13
Let l(c) be the second derivative of -c**3/6 + c**2 + c - 3. Let d(p) = p**2 - 31*p - 8. Let o(j) = 3*d(j) - 24*l(j). Find m such that o(m) = 0.
-1, 24
Let u(k) = -5*k**2 - 1735*k - 1604. Let t(s) = 5*s**2 + 1755*s + 1603. Let n(h) = -6*t(h) - 7*u(h). Suppose n(g) = 0. What is g?
-322, -1
Let m(i) be the third derivative of -i**8/448 - 3*i**7/7 - 3599*i**6/160 + 3*i**5/2 + 225*i**4/2 + 16*i**2 - 8. Solve m(l) = 0.
-60, -1, 0, 1
Suppose 2*j - 2*z - 41 = 3*z, 5*z = -15. Suppose 8*i + j = 29. Factor 4*s - 3 + 1 - 6 - 4*s**3 + 8*s**i.
-4*(s - 2)*(s - 1)*(s + 1)
Let d(c) be the second derivative of 5*c**4/3 - 11794*c**3/3 + 4716*c**2 - 11*c - 166. Factor d(h).
4*(h - 1179)*(5*h - 2)
Let u(i) be the first derivative of 212415*i**3 - 3570*i**2 + 20*i - 340. Factor u(b).
5*(357*b - 2)**2
Factor 0 + 0*a - 248/3*a**2 - 18*a**3 + 2/3*a**4.
2*a**2*(a - 31)*(a + 4)/3
Factor -5*n**3 - 10118 + 5058 + 20*n**2 - 15*n + 5060.
-5*n*(n - 3)*(n - 1)
Let w be (5/1)/(16/(-400)). Let y be (-200)/w - 2/(-5). Let 2/15*i - 2/15*i**y + 4/5 = 0. Calculate i.
-2, 3
Let d(z) be the third derivative of 7/15*z**5 + 1/84*z**8 + 0 - 1/30*z**7 + z**2 - 3/20*z**6 - 161*z + 1/3*z**4 + 0*z**3. Factor d(f).
f*(f - 2)**2*(f + 2)*(4*f + 1)
Let c(s) = -216*s**3 + 124*s**2 + 5271*s + 59584. Let y(m) = -31*m**3 - m**2 + m. Let p(h) = 3*c(h) - 21*y(h). Let p(x) = 0. Calculate x.
-56, -19
Let s = -4357/52 + 58787/364. Factor 4/7*z**2 + 18496/7 + s*z.
4*(z + 68)**2/7
Suppose -8*m - 19 + 67 = 0. Let d be (-14)/m*126/(-147). Factor -6/19*j**d + 0 + 0*j - 8/19*j**3 - 2/19*j**4.
-2*j**2*(j + 1)*(j + 3)/19
Let c(d) be the second derivative of -d**5/150 + 13*d**4/45 - 31*d**3/9 - 182*d**2/15 + 93*d. Determine x so that c(x) = 0.
-1, 13, 14
Let n(i) = 52*i + 213. Let m be n(-4). Suppose -227*v + 221*v + 6*v**5 + 4*v**3 - 8*v**4 - 4*v**m + 8*v**2 = 0. Calculate v.
-1, 0, 1, 3
Factor 1/5*w**2 + 264/5 + 134/5*w.
(w + 2)*(w + 132)/5
Let t be (28 + 2)*(-4272)/(-32040). Find h such that 1/3*h**t + 5*h**2 + 17/3*h**3 - 17/3*h - 16/3 = 0.
-16, -1, 1
Suppose 4*p - 5*x = -5870, 4335 = -3*p + x - 73. Let u = p + 1474. Factor q**2 + 2*q**3 - 2*q - 3/2 + 1/2*q**u.
(q - 1)*(q + 1)**2*(q + 3)/2
Suppose -5158*j = -5167*j + 18. Let s(t) be the second derivative of -1/30*t**6 - 1/3*t**3 + 0 + 0*t**5 + 1/4*t**4 + 0*t**j + 5*t. Factor s(w).
-w*(w - 1)**2*(w + 2)
Suppose 3*w - 1 = -4*l + 15, w - 3*l = 27. Find b, given that 3*b**3 - w*b**2 + 44 - 6*b**3 - 14 + 21*b = 0.
-5, -1, 2
Let t(j) = -j**2 - 13*j - 12. Let s = -1018 - -1017. Let u be t(s). Factor -1/6*y**5 + u*y**4 + 0*y**2 - 1/6*y + 1/3*y**3 + 0.
-y*(y - 1)**2*(y + 1)**2/6
Solve -475/4 - 237/2*f + 1/4*f**2 = 0.
-1, 475
Let c = 188077 - 940382/5. Factor 6 + 6/5*s**2 - c*s**3 + 39/5*s.
-3*(s - 5)*(s + 1)*(s + 2)/5
Let c = 1887/175 - 942/175. Factor -24/5*b**2 - 3/5 - c*b.
-3*(b + 1)*(8*b + 1)/5
Let g(m) = -5*m**5 + 2*m**3 + 13*m**2 + 12*m - 1. Let o(t) = -78 + 5*t**2 - t**4 + t**5 + t**3 - 5*t**2 - t + 79. Let k(n) = -2*g(n) - 6*o(n). Factor k(i).
2*(i - 2)*(i + 1)**3*(2*i + 1)
Let 297*x**3 - 968*x - 2 + 189*x**3 + 1 - 480*x**2 - 2*x**4 + 1 = 0. What is x?
-1, 0, 2, 242
Let y(r) = -3*r**3 - 1253*r**2 - 4906*r - 4939. Let z(p) = -3*p**3 - 1252*p**2 - 4916*p - 4940. Let c(n) = 4*y(n) - 5*z(n). Factor c(g).
3*(g + 2)**2*(g + 412)
Let y(q) be the first derivative of -5/3*q**2 + 5/6*q**4 + 4/3*q - 2*q**3 + 14/15*q**5 - 34. Determine t so that y(t) = 0.
-1, 2/7, 1
Factor -7*w**2 - 596 + 2*w**2 + w - 498 - 336 + 184*w.
-5*(w - 26)*(w - 11)
Let s(p) = -24*p**2 - 18*p - 3. Suppose 7*t - 100 = -72. Let k(a) = -a**3 + 25*a**2 + 18*a + 4. Let h(g) = t*s(g) + 3*k(g). Determine x so that h(x) = 0.
-6, -1, 0
Let c(n) = -2*n**3 - 31*n**2 + 19*n + 46. Let r be c(-16). Let y be (32/(-12))/(r - 2). Factor y*j**3 - 2/9*j**4 - 4/9*j**2 + 0 + 0*j.
-2*j**2*(j - 2)*(j - 1)/9
Let k be -18 + 16 + 3 - -3. Let n(p) be the first derivative of -4/7*p**2 + 8/21*p**3 - 2/35*p**5 - 25 + 0*p + 1/14*p**k. Factor n(l).
-2*l*(l - 2)*(l - 1)*(l + 2)/7
Let c(q) = 13*q**2 + 7*q + 10. Let p be ((1 + 4)*(0 + -1))/1. Let r be c(p). Factor -147*k - 162*k + r*k + 7*k**2 + 2.
(k - 1)*(7*k - 2)
Let j(f) be the first derivative of 0*f**3 + 19/2*f**2 + 0*f**5 - 16 + 0*f + 1/24*f**4 - 1/120*f**6. Let l(x) be the second derivative of j(x). Factor l(k).
-k*(k - 1)*(k + 1)
Let m be 931/399 - ((-30)/(-12) + (-2)/12). Factor 0 + 8/3*i**4 + m*i - 2/3*i**5 + 4/3*i**2 - 10/3*i**3.
-2*i**2*(i - 2)*(i - 1)**2/3
Let j(y) be the third derivative of -1/2520*y**8 + 0*y**4 - 49/75*y**6 - 1 + 0*y - 95*y**2 - 1372/225*y**5 + 0*y**3 