**2 + z*u + 15*u**3 + 264 - 41*u**2 + 43*u**2 = 0?
-2, 11
Let p = 264 + -272. Let i be (-1)/(-2 + p) + (0 - 0). Factor -1/5*r**2 + 1/10*r**3 + i*r + 0.
r*(r - 1)**2/10
Find b, given that -894/5*b + 90*b**2 + 446/5 - 2/5*b**3 = 0.
1, 223
Let y(t) be the first derivative of 29 + 0*t - 1/4*t**4 + 1/2*t**2 + 0*t**3. Let y(s) = 0. What is s?
-1, 0, 1
Let z(n) be the second derivative of n**6/30 + 59*n**5/20 + 55*n**4/3 + 4126*n. Factor z(k).
k**2*(k + 4)*(k + 55)
Let b(p) be the second derivative of -p**6/300 + p**5/75 - 49*p**2/2 + 170*p. Let o(z) be the first derivative of b(z). Find d, given that o(d) = 0.
0, 2
Let a = -44937 + 44940. Let -10/3*v**2 - 8/3*v + 1/3*v**4 - 1/3*v**a + 0 = 0. What is v?
-2, -1, 0, 4
Find r such that -1/6*r**3 - 544*r - 53/3*r**2 - 3840 = 0.
-48, -10
Let v(x) be the first derivative of x**4/32 - 5*x**3/24 - 25*x**2/16 + 125*x/8 - 291. Factor v(q).
(q - 5)**2*(q + 5)/8
Suppose f = 4, -7*f + 2*f + 10 = -2*s. Factor 17*t - 4*t**3 + s*t**3 + 9*t**2 - 34*t**2 + 7*t**2.
t*(t - 17)*(t - 1)
Let f(l) be the first derivative of -4*l**5/5 + 6*l**4 + 32*l**3/3 - 12*l**2 - 28*l - 1608. Find d, given that f(d) = 0.
-1, 1, 7
Let n = 47 - 46. Let a(r) = 3*r + 2. Let p be a(n). What is m in -12*m**3 - 2*m**2 - 4*m + 5*m**2 + p*m**4 - m**4 + 9*m**2 = 0?
0, 1
What is k in -140/9*k + 2/9*k**3 + 2/3*k**2 + 0 = 0?
-10, 0, 7
Let g(i) be the second derivative of -i**6/30 + i**5/15 + i**4/3 + 25*i**2/2 + 45*i. Let k(w) be the first derivative of g(w). Determine m, given that k(m) = 0.
-1, 0, 2
Let m(k) be the first derivative of 2*k**3/21 + 320*k**2/7 - 642*k/7 + 8639. Factor m(g).
2*(g - 1)*(g + 321)/7
Let i(b) = -15*b**2 - 5*b - 4. Let m be i(-6). Let x = 517 + m. Let 0*o**x + 4/7*o + 2/7*o**4 + 0 - 6/7*o**2 = 0. What is o?
-2, 0, 1
Let y(z) be the second derivative of -z + 0*z**2 - 7/12*z**4 + 13 - 1/20*z**5 + 0*z**3. Let y(v) = 0. Calculate v.
-7, 0
Factor 59*l - 4*l**2 - 1098 + 110*l - 1277 + 281*l + 9*l**2.
5*(l - 5)*(l + 95)
Let j(w) be the second derivative of 8*w**7/21 - 138*w**6 - 679*w**5 - 960*w**4 - 1048*w**3/3 - 3537*w. Let j(f) = 0. What is f?
-2, -1, -1/4, 0, 262
Find i such that 340*i + 22*i**2 + 1120 + 35*i**2 - 44*i**2 + 12*i**2 = 0.
-8, -28/5
Let c(q) be the second derivative of -q**4/30 + 372*q**3/5 - 311364*q**2/5 + 4376*q. Factor c(n).
-2*(n - 558)**2/5
Let g(b) be the second derivative of 14*b**7/27 - 8582*b**6/135 + 17687*b**5/9 + 82729*b**4/9 - 12080*b**3 + 5400*b**2 - 2153*b. Suppose g(u) = 0. What is u?
-3, 2/7, 45
Let w = -66 + 73. Suppose 4*z + 5*c = 18, 5 = 2*z + 4*c - w. Let -15*h - 134*h**2 + 137*h**2 + 3*h**3 + 10 + 1 - z = 0. What is h?
-3, 1
Let c(b) be the second derivative of 4*b**7/21 + 31*b**6/15 - 26*b**5/5 - 61*b**4/6 + 6*b**3 + 1435*b. Let c(z) = 0. What is z?
-9, -1, 0, 1/4, 2
Let k(f) be the first derivative of -48 - 9*f**2 - 1/4*f**4 - 5/2*f**3 + 23*f. Let b(z) be the first derivative of k(z). Factor b(l).
-3*(l + 2)*(l + 3)
Let i(w) be the first derivative of -w**4/2 + 68*w**3/3 + 387*w**2 + 2716. Find b such that i(b) = 0.
-9, 0, 43
Let u(a) = -26*a**3 + 456*a**2 + 438*a - 52. Let k(w) = 29*w**3 - 457*w**2 - 440*w + 52. Let o(n) = -4*k(n) - 3*u(n). Suppose o(t) = 0. What is t?
-1, 2/19, 13
Let d(b) be the second derivative of 2*b**2 + 5*b + 23/27*b**3 + 7/54*b**4 - 7. Factor d(t).
2*(t + 2)*(7*t + 9)/9
Let r = 79/1050 - 22/525. Let s(h) be the second derivative of r*h**6 - 13*h + 0 + 1/2*h**5 + 18*h**2 + 13/12*h**4 - 10*h**3. Factor s(z).
(z - 1)**2*(z + 6)**2
Let x = 5 + 7. Let z(h) = h**3 - 12*h**2 + 4. Let y be z(x). Factor 6 + 4*d - 8*d**2 - 2 - y*d**3 + 4.
-4*(d - 1)*(d + 1)*(d + 2)
Suppose -4*j - 92 = 2*a + j, -3*j - 48 = a. Let k be 2 + a/(-126) + (-2)/7. Find o, given that 16/7*o**k + 0 - 32/7*o**3 - 20/7*o**4 + 0*o = 0.
-2, 0, 2/5
Let w be (-111)/(-15) + 6/10. Let b(n) = 125*n - 66*n - 60*n. Let l(m) = 2*m**2 + 2*m - 8. Let h(k) = w*b(k) + l(k). Suppose h(f) = 0. Calculate f.
-1, 4
Let m(f) be the third derivative of f**6/180 + f**5/12 + f**4/2 + 17*f**3/2 - f**2 + 14. Let n(q) be the first derivative of m(q). Factor n(l).
2*(l + 2)*(l + 3)
Let s be 1/(7 + 2/(8*(-11)/286)). Solve 4/9*t**s - 2/9 - 4/9*t**5 - 2/9*t**4 - 4/9*t + 8/9*t**3 = 0 for t.
-1, -1/2, 1
Suppose 55*i - 13*i - 4578 = 0. Factor 35*y**2 + i*y**2 - 5*y**4 - 96*y**3 + 3*y**4 + 3*y**4 + 120*y**3.
y**2*(y + 12)**2
Suppose -3*r = 4*y - r - 10, 0 = y - 2*r. Factor -4282*o + 3*o**y + 6*o**3 + 4276*o - 3*o**3.
3*o*(o - 1)*(o + 2)
Suppose 247/2*q**2 + 60025 + 1/4*q**3 + 61985/4*q = 0. What is q?
-245, -4
Let -194/3*g - 68*g**3 + 296/3*g**2 + 16 + 56/3*g**4 - 2/3*g**5 = 0. What is g?
1, 24
Let p(g) be the second derivative of -g**6/90 + 3*g**5/4 + 349*g**4/36 + 257*g**3/6 + 78*g**2 - 2*g - 90. Let p(h) = 0. Calculate h.
-3, -1, 52
Suppose 0 = 2*y + 8, 11 = 4*c - 4*y - 13. Suppose -o = -5*r + 15, -c*r - 3*o = -30 + 7. Find g, given that 0*g - 4*g + 4*g**2 + 9*g - r - 5*g**2 = 0.
1, 4
Suppose 708 = 14*z + 246. Factor z*w + w**3 - w**2 - 37*w - 401 + 405.
(w - 2)*(w - 1)*(w + 2)
Factor 2/9*d**2 + 2660/3*d + 884450.
2*(d + 1995)**2/9
Let q = 4/10637 - -198031/542487. Let r = q + -6/187. Find h such that -1/9*h**3 + r*h**2 - 1/9 - 2/9*h**4 + 1/9*h = 0.
-1, 1/2, 1
Let v(f) = 10*f**3 + 8*f**2 + 4*f + 6. Let i(r) = 9*r**3 + 8*r**2 + 4*r + 5. Let o = 155 + -149. Let t(x) = o*i(x) - 5*v(x). Solve t(m) = 0.
-1, 0
Let l(o) = -o**2 - 5*o + 16. Let k be l(0). Let m be 50/150 - (k/(-6) - 0). Let -4/13*r - 10/13*r**4 + 0 + 18/13*r**m - 14/13*r**5 + 10/13*r**2 = 0. What is r?
-1, 0, 2/7, 1
Let o(l) = 12*l + 72. Let f be o(-6). Suppose 0 = 5*v - 3*y - 0*y + 3, -4 = 4*v - 4*y. Solve -1/2*r**5 + 0*r + v*r**4 + 1/2*r**3 + f + 0*r**2 = 0.
-1, 0, 1
Let w(b) be the second derivative of b - 14/15*b**4 + 1/15*b**3 + 2/5*b**2 - 4. Factor w(r).
-2*(4*r + 1)*(7*r - 2)/5
Let f(w) be the third derivative of -w**7/1960 + w**5/280 - 29*w**3/3 - 33*w**2 - 1. Let i(t) be the first derivative of f(t). Factor i(z).
-3*z*(z - 1)*(z + 1)/7
Let p(d) be the second derivative of -d**4/21 + 38*d**3/21 + 300*d**2/7 + 52*d + 5. Factor p(v).
-4*(v - 25)*(v + 6)/7
Let u(p) be the third derivative of p**7/525 - 41*p**6/100 - 5*p**5/2 - 377*p**4/60 - 42*p**3/5 - 145*p**2. Factor u(b).
2*(b - 126)*(b + 1)**3/5
Let 154*a**2 + 5046627 - 17*a**2 - 24*a**2 - 110*a**2 - 7782*a = 0. What is a?
1297
Factor -12/5*y + 32 - 1/5*y**2.
-(y - 8)*(y + 20)/5
Let q = -45423 - -136270/3. Factor 0 + 1/3*f**4 - 1/3*f**2 + q*f - 1/3*f**3.
f*(f - 1)**2*(f + 1)/3
Let s = -623356/3 - -207788. Factor -1/6*p**4 + 81/2 + s*p**3 - 36*p - 7*p**2.
-(p - 9)**2*(p - 1)*(p + 3)/6
Factor -2539200 - 4/3*c**2 + 3680*c.
-4*(c - 1380)**2/3
Let f = 2425095 - 12125469/5. Let n be ((-4)/(-10))/(3/15). Factor -1/5*j**n - f - j.
-(j + 2)*(j + 3)/5
Let t(y) = y**2 + 8*y - 71. Let n be t(-13). Let g(p) = p**2 + p + 1. Let d(m) = -2*m**2 - 15*m + 24. Let j(f) = n*g(f) - 2*d(f). Suppose j(v) = 0. Calculate v.
3, 9
Determine t so that 10/3*t + 0 + 7*t**3 + 107/3*t**2 = 0.
-5, -2/21, 0
Suppose -1644 = -566*u + 620. Factor -1/4*b**u + 3/4*b**2 + 1/2*b**3 - 2*b + 1.
-(b - 2)*(b - 1)**2*(b + 2)/4
Suppose 414/5 + 1/5*l**2 + 41/5*l = 0. Calculate l.
-23, -18
Let j = 28 - 26. Suppose -12*r + j*r = 5*r. Factor 16*g**2 + r*g + 3*g**4 - 11*g**4 + 12*g - 20*g**3.
-4*g*(g - 1)*(g + 3)*(2*g + 1)
Let b be (-64)/(-93) - 440/20460. Factor -b*n**4 + 8/3*n**3 + 8/3*n - 2/3 - 4*n**2.
-2*(n - 1)**4/3
Let d(g) be the third derivative of -g**5/12 + 455*g**4/4 - 124215*g**3/2 + 784*g**2. Factor d(v).
-5*(v - 273)**2
Let t(j) be the second derivative of -j**6/150 + 19*j**5/50 - 47*j**4/20 + 86*j**3/15 - 34*j**2/5 + 822*j. Factor t(g).
-(g - 34)*(g - 2)*(g - 1)**2/5
Let w = 27 + -26. Let m be -3 + 2 - (-4 - w) - 2. Solve -4*v**2 + v**2 + 0*v**m + 18*v = 0.
0, 6
Let s = 385661/9 - 42851. What is g in s*g**3 + 64/9*g - 64/9 - 20/9*g**2 = 0?
2, 4
Let f(u) be the second derivative of -9 + 2*u + 1/6*u**4 - 2*u**2 + 3/10*u**5 - u**3 + 1/15*u**6. Determine x, given that f(x) = 0.
-2, -1, 1
Suppose -101261 = 6*d - 101273. Let k be (-24)/(-9) + 2/6. Factor 8/5*h + 6/5*h**d - 2/5*h**k + 0.
-2*h*(h - 4)*(h + 1)/5
Let v be (21 + (22 - 44))/(-5 - (3 + -3)). Suppose -v*l**2 - 3/5*l + 4/5 = 0. What is l?
-4, 1
Find y, given that -1/3*y**5 + 2*y**2 - 1/3*y**3 