 + 0*y**2 - 26/7*y**3 + 0 + 2/7*y**4 = 0. Calculate y.
-3, 0, 4, 12
Suppose -4941*h = 4*y - 4940*h - 4, -3*y - 2 = 2*h. Factor -18/11*t + 2/11*t**3 + 28/11 - 12/11*t**y.
2*(t - 7)*(t - 1)*(t + 2)/11
Let t(m) be the second derivative of m**5/4 - 15*m**4/4 - 35*m**3/2 - 55*m**2/2 - 478*m. Find p such that t(p) = 0.
-1, 11
Suppose 2*x - p = 19, -7 = 8*x - 13*x - 2*p. Suppose 4/11*i**4 + 2/11*i**x - 26/11*i**3 + 0 + 0*i + 20/11*i**2 = 0. Calculate i.
-5, 0, 1, 2
Let 132 - 46*i + 2/3*i**2 = 0. What is i?
3, 66
Let h(a) = -5*a**2 + 2. Let z(l) = 57*l**3 - 1062*l**2 + 4332*l + 462. Let s(d) = 3*h(d) + z(d). Factor s(r).
3*(r - 13)*(r - 6)*(19*r + 2)
Find u, given that -66*u**3 + 9/4*u**4 + 351*u**2 + 0 + 264*u = 0.
-2/3, 0, 8, 22
Solve -b**5 - b**3 - 3952375*b**4 + 3952382*b**4 - 9*b**3 = 0.
0, 2, 5
Let n(c) be the third derivative of 0*c + 14/15*c**5 - 49/3*c**4 + 0*c**3 - 1 - 1/60*c**6 - 26*c**2. Determine a, given that n(a) = 0.
0, 14
Suppose -329*f - 194 = -502 - 745 - 592. Find p, given that -2/3*p + 2/9*p**f + 4/9*p**3 + 10/9*p**4 + 2 - 28/9*p**2 = 0.
-3, -1, 1
Let m(y) = 114*y**3 + 164*y**2 + 66*y + 5. Let f(k) = 23*k**3 + 33*k**2 + 13*k + 1. Suppose 2*j + 99 = -7*j. Let x(l) = j*f(l) + 2*m(l). Solve x(w) = 0.
-1, -1/5
Let r = -597 - -597. Suppose r = 534*v - 544*v + 30. Factor 5*f**v + 0 + 5/4*f - 25/4*f**2.
5*f*(f - 1)*(4*f - 1)/4
Let y(c) be the second derivative of 5/4*c**4 + 6*c - 243/2*c**2 + 1/20*c**5 + 9/2*c**3 - 4. Factor y(r).
(r - 3)*(r + 9)**2
Let a = 752297 + -752294. Let 120/7*f**4 - 32/7*f + 4/7*f**a + 4*f**5 - 120/7*f**2 + 0 = 0. What is f?
-4, -1, -2/7, 0, 1
Let d(l) be the first derivative of -18432*l**4 - 24832*l**3 - 385*l**2 - 2*l + 4000. Suppose d(s) = 0. What is s?
-1, -1/192
Let p = -8/9297 + 3107/9297. Suppose -4*n = -5*n. Factor 1/3*u**5 + n*u**3 - p*u + 0 - 2/3*u**2 + 2/3*u**4.
u*(u - 1)*(u + 1)**3/3
Determine t so that -3*t**2 + 3*t**3 + 3*t**2 + 18*t - 5 - 2*t**3 + 5*t**2 - 19*t = 0.
-5, -1, 1
Let x = 2814 + -2810. Let l(i) be the first derivative of 2/5*i**5 - 2*i**2 + i**x - 2/3*i**3 - 20 + 0*i. Suppose l(k) = 0. What is k?
-2, -1, 0, 1
Let g(t) be the first derivative of -5/4*t**4 - 53 + 10/3*t**3 - 10*t + 5/2*t**2. Suppose g(s) = 0. Calculate s.
-1, 1, 2
Let h(i) be the first derivative of 0*i**2 - 47 + 1/12*i**3 + 41*i + 1/6*i**4 + 3/40*i**5. Let r(z) be the first derivative of h(z). Factor r(s).
s*(s + 1)*(3*s + 1)/2
Suppose -51*f - 66*f + 970 = 61*f + 258. Solve 14/3*g**2 + 16/9 + 2/9*g**f - 16/9*g**3 - 44/9*g = 0.
1, 2, 4
Let n(x) be the second derivative of -2*x**7/147 - 2*x**6/21 + 26*x**5/35 + 152*x**4/21 - 64*x**3/21 - 1280*x**2/7 - 1225*x + 1. Suppose n(l) = 0. Calculate l.
-4, 2, 5
Let g(l) be the third derivative of -l**7/560 + 3*l**6/160 + 3*l**5/160 - 5*l**4/16 + 3*l**3/4 - 6750*l**2. Find m, given that g(m) = 0.
-2, 1, 6
Let c(h) = -8*h**3 - 2797*h**2 + 5609*h - 2807. Let u(s) = 26*s**3 + 8390*s**2 - 16828*s + 8422. Let r(y) = 10*c(y) + 3*u(y). Suppose r(i) = 0. Calculate i.
-1402, 1
Let g be (-4 + (-46)/(-14))*((-1960)/21)/20. Factor -8/3*q**4 - 2*q + g*q**3 + 0 + 4/3*q**2.
-2*q*(q - 1)**2*(4*q + 3)/3
Let r(h) = h**3 + 22*h**2 + 17*h - 35. Let n be r(-17). Suppose -12*t - 1085 = -n. Factor 0*i + 2/3*i**t + 1/6*i**5 + 0 + 0*i**2 - 2/3*i**4.
i**3*(i - 2)**2/6
Factor 8281/6*c**2 + 0*c + 1/6*c**4 + 0 + 91/3*c**3.
c**2*(c + 91)**2/6
Let r(h) be the first derivative of -h**4/3 - 16*h**3/9 - 2*h**2/3 + 8*h + 237. Determine k, given that r(k) = 0.
-3, -2, 1
Suppose -33120*o + 129*o**2 - 420*o**2 - 3000 - 61800 - 71*o**2 - o**3 = 0. Calculate o.
-180, -2
Let i be 40 + -1 + (-90)/(-9) + -11. Factor 319 - 3*k**2 - 181 + 223 + 4*k**2 + i*k.
(k + 19)**2
Let v(j) be the second derivative of -53/70*j**5 - 4/105*j**6 - 42*j + 0*j**2 - 1 + 43/42*j**4 + 2/3*j**3. Suppose v(u) = 0. Calculate u.
-14, -1/4, 0, 1
Let x(i) be the third derivative of -2/105*i**7 + 13/6*i**4 - i**5 + 7/30*i**6 + 0 + 33*i**2 - 8/3*i**3 + 0*i. Factor x(w).
-4*(w - 4)*(w - 1)**3
Let m(p) be the first derivative of -p**3/3 + 375*p**2/2 - 1009. Let m(d) = 0. Calculate d.
0, 375
Let h(q) = -5*q**2 + 6*q - 5. Let j(u) = -u**2 + u - 1. Suppose 5*g = 5*w + 20, -g + 3*g + 3*w = 13. Let s(f) = g*h(f) - 20*j(f). What is m in s(m) = 0?
1
Let c be ((-9)/(-18) - 0)*(-7)/(21/(-12)). Determine r, given that -33*r**4 - 89/2*r**3 - r + 0 - 25/2*r**c = 0.
-1, -2/11, -1/6, 0
Factor -367/4*r + 1/4*r**2 + 183/2.
(r - 366)*(r - 1)/4
Let n be ((-105)/(-84))/(60/64 - 1). Let s be (-1095)/(-1650) + 6/n. Factor 4/11*o**2 - 2/11*o - s + 2/11*o**3.
2*(o - 1)*(o + 1)*(o + 2)/11
Let t(h) = -44*h - 37. Let f be t(-3). Let y = f - 95. Let y*m - 12*m**3 + 40 - 56*m**2 + 15*m + 13*m = 0. Calculate m.
-5, -2/3, 1
Factor 0 + 2/3*w**3 + 764*w - 2294/3*w**2.
2*w*(w - 1146)*(w - 1)/3
Let -2*y**3 + 2*y - 1/4*y**4 + 3 - 11/4*y**2 = 0. Calculate y.
-6, -2, -1, 1
Let t(f) be the third derivative of -f**5/120 + 1553*f**4/24 - 2411809*f**3/12 - 16*f**2 - 37*f. Suppose t(u) = 0. What is u?
1553
Let c = 6925 + -6922. Let d(h) be the third derivative of 21*h**2 - 2/3*h**c + 1/60*h**5 + 0 - 1/240*h**6 + 1/12*h**4 + 0*h. Suppose d(k) = 0. What is k?
-2, 2
Let m(h) = 13*h - 156. Let j be m(12). Suppose 2*c = -2*d + 2, -4*c = -2*d + 2 + 6. Factor j*t + 2/9*t**d - 2/9.
2*(t - 1)*(t + 1)/9
Let u = 866/85 + -14924/1615. Find t, given that -18/19*t - 2/19*t**2 + 2/19*t**3 + u = 0.
-3, 1, 3
Let s = 3400/2599 + -138/113. Let n(b) be the first derivative of 8/23*b**2 - 39 + 0*b + 8/69*b**3 - 1/69*b**6 - s*b**5 - 3/23*b**4. Factor n(c).
-2*c*(c - 1)*(c + 2)**3/23
Let z(o) = -21*o**2 + 1119*o - 315. Let v be z(53). Factor 22/9*w**2 + 8/9 + 8/9*w**v - 38/9*w.
2*(w - 1)*(w + 4)*(4*w - 1)/9
Let m be 2/5 + (-32)/(-120). Let w be 0/(-2) - (-6)/2. Factor 2/3*d**5 + 0*d**4 - m*d**w + 0 + 0*d**2 + 0*d.
2*d**3*(d - 1)*(d + 1)/3
Let x be (30/(-35))/((-3)/14). Factor 26*w**3 - 14*w**2 - 92*w**3 + 24*w**5 + 57*w - 12 - 53*w**2 + 84*w**x + 10*w**2.
3*(w + 1)*(w + 4)*(2*w - 1)**3
Suppose -23*m + 16*m + 21 = 0. Factor 84*o**m - 143*o - 13*o**2 - 3*o**2 - 121 - 85*o**3 - 7*o**2.
-(o + 1)*(o + 11)**2
Let w be (-126)/20*(-935)/561 + -2. Find l such that w + 1/4*l**3 + 5*l**2 + 53/4*l = 0.
-17, -2, -1
Suppose 5*p - 65 = 5*t, 3*t = -3*p - 1761 + 1740. Factor 6*d**p + 3*d - 27/2*d**2 + 0.
3*d*(d - 2)*(4*d - 1)/2
Determine q, given that 2/17*q**2 + 1002528/17 + 2832/17*q = 0.
-708
Suppose -3*w - 344 = -2*a + 347, a + w = 333. Suppose 150 - 645*v**3 + a*v**2 - 99*v + 20*v**4 - 806*v + 1193*v**2 - 151*v**2 = 0. What is v?
1/4, 1, 30
Let n(a) = 20*a + 24. Let u be n(3). Let z = 88 - u. Factor -x**3 - x**3 - 2*x**3 + 6*x - 2*x**3 + 2*x**z - 4 + 2*x**2.
2*(x - 2)*(x - 1)**2*(x + 1)
Let l(m) = -m**4 + m**3 + m**2 + 2. Let y(j) = -421 - 19*j**3 + 850 + 4*j**4 - 425 - 10*j**2. Let b(c) = 2*l(c) - y(c). Factor b(f).
-3*f**2*(f - 4)*(2*f + 1)
Suppose 164/9*b + 670/3 + 2/9*b**2 = 0. Calculate b.
-67, -15
Let p = 105197/3 + -35065. Factor -90*s - 18*s**2 - p*s**3 + 450.
-2*(s - 3)*(s + 15)**2/3
Suppose 4*i = 5 + 7. Suppose -2*b + i*b - 2 = 0. Suppose 10*f**3 + 8 + 8*f + 2*f**b - 34*f**2 + 6*f**2 = 0. What is f?
-2/5, 1, 2
Let t be (-4)/(-10) - (-136)/(-340). Let h(q) be the first derivative of -3/5*q**5 + t*q - 16/9*q**3 + 2/3*q**2 + 7/4*q**4 + 21. Suppose h(y) = 0. Calculate y.
0, 2/3, 1
Suppose -6 + 7709*h**5 + 1377*h + 1458*h**2 + 540*h**3 + 78*h**4 - 7706*h**5 + 5 + 1 = 0. What is h?
-17, -3, 0
Solve -50*k**4 + 45 + 241*k**2 + 5519*k**3 + 93*k**2 - 5 - 5315*k**3 - 528*k = 0 for k.
-2, 2/25, 1, 5
Let m(x) be the third derivative of -x**7/105 + x**6/5 - 23*x**5/30 - 3*x**4 + 3715*x**2. Suppose m(z) = 0. Calculate z.
-1, 0, 4, 9
Let g(p) be the second derivative of 1/6*p**3 + 0*p**4 - 1 + 0*p**2 - 15*p - 1/20*p**5. Find k such that g(k) = 0.
-1, 0, 1
Let y(s) be the first derivative of 0*s - 7/10*s**2 - 37/25*s**5 - 2/15*s**6 - 43/15*s**3 - 69/20*s**4 - 154. Solve y(j) = 0.
-7, -1, -1/4, 0
Suppose 0 = 2*t - 5*c + 16, -41 = -5*t - c. Let b(n) be the first derivative of 19/16*n**2 + t + 19/8*n**3 + 1/4*n + 7/4*n**4 + 2/5*n**5. Factor b(j).
(j + 1)*(j + 2)*(4*j + 1)**2/8
Suppose 177 = -99*w + 22*w + 331. Factor -8/5*k - 2/5*k**3 - 3/5*k**4 + 1/5*k**5 + 12/5*k**w + 0.
k*(k - 2)**2*(k - 1)*(k + 2)/5
Suppose 11*z - 1900 = 7*z. Suppo