24*g**q + 0*g**2 - 1/80*g**5 - g - 1/120*g**6 + 0 + 1/48*g**4. What is v in s(v) = 0?
-1, 0, 1
Let v(j) be the third derivative of -j**5/60 + j**4/24 + 40*j**2. Let b(x) be the second derivative of -x**4/4 - 8*x. Let i(m) = b(m) - 2*v(m). Factor i(f).
-f*(f + 2)
Suppose -g + p = -2 + 6, 4 = -2*g + 4*p. Let q be g*(3/9)/(-1). Let 17 + 2*h + 3*h**q + 4*h - 14 = 0. What is h?
-1
Let t(a) be the second derivative of -1/7*a**2 - 54 - 1/42*a**3 + 1/84*a**4 + a. Find x, given that t(x) = 0.
-1, 2
Let o(x) be the first derivative of -x**3/3 + x**2/2 - x + 28. Let q(u) = -4*u**2 + 2*u - 1. Let g(s) = -3*o(s) + q(s). Solve g(y) = 0 for y.
-2, 1
Let p(j) be the third derivative of -j**5/15 + 4*j**4 + 54*j**3 - 513*j**2. Let p(y) = 0. What is y?
-3, 27
Find a, given that 183/4*a**4 - 9/4*a**5 - 1423/4*a**3 + 1156 - 2142*a + 5193/4*a**2 = 0.
1, 4, 17/3
Let c(z) = -13*z**3 - 816*z**2 + 1656*z - 797. Let j(s) = -33*s**3 - 2040*s**2 + 4140*s - 1989. Let q(w) = -13*c(w) + 5*j(w). Find t, given that q(t) = 0.
-104, 1
Suppose -6*u - 15 = 3*i, 100*i - 96*i - 40 = 2*u. Factor -33/2*x**3 + 0 + 56*x**2 - i*x**4 - 32*x - 1/2*x**5.
-x*(x - 1)**2*(x + 8)**2/2
Let k(c) be the third derivative of c**6/240 - c**5/5 + 15*c**4/16 - 109*c**3/6 - c**2 + 10*c. Let g(m) be the first derivative of k(m). Solve g(j) = 0.
1, 15
Let k = -2096010/17 - -123298. Factor -k - 22/17*o - 2/17*o**2.
-2*(o + 4)*(o + 7)/17
Determine o, given that -61/8*o - 1/4*o**2 + 3/8*o**3 - 5/2 = 0.
-4, -1/3, 5
Let y(v) = 2*v**2 - 12*v - 15. Let u be y(7). Let t(j) = -10*j**2 + 4*j + 12. Let n(c) = -c**2 + 1. Let d(w) = u*t(w) + 12*n(w). Find a such that d(a) = 0.
-2, 0
Let v be (-622)/(-5) + (-2)/5. Factor -57*o + v*o + 10 - 5*o**2 - 62*o.
-5*(o - 2)*(o + 1)
Let d(v) be the second derivative of v**7/63 + 22*v**6/45 + 107*v**5/30 + v**4/9 - 148*v**3/3 - 120*v**2 + 2*v - 354. Solve d(u) = 0 for u.
-15, -6, -2, -1, 2
Let o = 452828 + -452828. Solve 0 + m**3 + o*m**4 - 1/3*m**5 + 0*m + 2/3*m**2 = 0.
-1, 0, 2
Suppose -66*o + 69*o - 147 = 0. Let n(b) = -6*b - 14*b - 1 - o. Let z(l) = -l**2 + 20*l + 50. Let g(c) = 3*n(c) + 2*z(c). Solve g(p) = 0.
-5
Factor -60 - 3*n**2 + 7*n**2 + 9164*n - 9108*n.
4*(n - 1)*(n + 15)
Let c(k) be the second derivative of 3*k**5/5 + 287*k**4/3 + 380*k**3/3 + 2*k - 1652. Factor c(y).
4*y*(y + 95)*(3*y + 2)
What is a in -7208 - 40459 - 7458 - 9888*a**2 - 10*a**4 + 49280*a + 6*a**4 - 6827 + 376*a**3 = 0?
2, 4, 44
Let g(o) be the second derivative of -1 + 5/42*o**7 + 15*o**4 + 11*o - 3/2*o**5 - 45/2*o**3 - 2/3*o**6 + 0*o**2. Factor g(f).
5*f*(f - 3)**2*(f - 1)*(f + 3)
Let j(b) be the first derivative of -1/10*b**5 + 2*b + 1/2*b**4 - 1/2*b**3 + 63 - b**2. Solve j(t) = 0 for t.
-1, 1, 2
Let i(x) be the first derivative of -5*x**3/3 + 15*x**2/2 + 203. Let g(d) = -2*d**2 - d. Let z(f) = -15*g(f) + 5*i(f). Factor z(r).
5*r*(r + 18)
Suppose -49*t + 240 = 44. Let q = -30 + 54. Let 521 + 0*a**2 + t*a**3 - 521 + q*a**2 = 0. What is a?
-6, 0
Suppose -5*f = -5*v - 7*f + 384, 5*f = 3*v - 218. Suppose v*u = 75*u + 2. What is t in 0 - 1/3*t**u + 1/3*t = 0?
0, 1
Let s = 75 + -91. Let n be (-18)/s*28/42. Suppose n*o**4 + 3/2*o + 5/2*o**3 + 3*o**2 + 1/4 = 0. Calculate o.
-1, -1/3
Let t be 2/3*4410/3528. Suppose 2*k = 7*k - 20. Factor 0*g**3 + 0*g + 10/3*g**2 + t*g**5 - 5/2*g**k + 0.
5*g**2*(g - 2)**2*(g + 1)/6
Suppose -w = -5*n - 1372, -8*w + 4060 = -5*w - n. Suppose w*r = 1344*r. Factor 2/9*l**2 - 8/9*l + r.
2*l*(l - 4)/9
Suppose -18*w**3 - 384/5*w**2 + 2/5*w**4 + 0 - 392/5*w = 0. Calculate w.
-2, 0, 49
Let b(a) be the first derivative of -31*a**6/14 - 6*a**5/35 + 279*a**4/14 + 260*a**3/7 + 327*a**2/14 + 18*a/7 - 14035. Let b(y) = 0. What is y?
-1, -2/31, 3
Let n(s) = -s**4 + s**3 - s**2 - 4*s + 3. Let o(l) = 7*l**4 + l**3 - 12*l**2 + 24*l - 18. Let d(k) = -6*n(k) - o(k). Factor d(g).
-g**2*(g - 2)*(g + 9)
Let z(l) be the second derivative of l**10/6048 - l**9/1008 - l**8/336 + l**4 + 12*l. Let x(w) be the third derivative of z(w). Find n such that x(n) = 0.
-1, 0, 4
Let w(p) = 12*p**2 - 3*p - 3. Let f be w(2). Suppose 5 = f*q - 36*q + 2*x, q - 4*x = 11. Factor -3/4*s**q + 0 - 3/2*s + 9/4*s**2.
-3*s*(s - 2)*(s - 1)/4
Let q be (72/98)/((-3726)/189 + 20). Factor -q - 18/7*t**2 - 33/7*t - 3/7*t**3.
-3*(t + 1)*(t + 2)*(t + 3)/7
Suppose -872*z**3 + 2697*z + 2754*z - 5199*z + 634*z**2 - 14*z**4 = 0. What is z?
-63, -2/7, 0, 1
Let o(k) = 8*k**2 - 3230*k. Let x(y) = 2*y**2 - 1076*y. Let n(j) = -4*o(j) + 14*x(j). Factor n(p).
-4*p*(p + 536)
Let d be 3/2 - ((8 + -127)/7 - 4). Factor 5/2*y**3 + 75/2*y - d*y**2 - 35/2.
5*(y - 7)*(y - 1)**2/2
Determine w so that -3/4*w**2 - 41/2*w - 26 = 0.
-26, -4/3
Let t be (-4)/(-12) - (-30)/(-90). Let w(o) be the first derivative of 0*o**2 - 32 + 1/4*o**4 + t*o - 2*o**3. Factor w(s).
s**2*(s - 6)
Let u be (-108)/(-26) - 0 - 24/156. Solve w**4 + 173*w - 40*w**2 + 9*w**u + 80 - 73*w + 5*w**5 - 55*w**3 = 0.
-4, -1, 2
Factor 1046/5*m + 1048/5 - 2/5*m**2.
-2*(m - 524)*(m + 1)/5
Let s(i) be the third derivative of 0*i + 1/10*i**6 - 1/70*i**7 + 1/10*i**5 - 3/2*i**4 + 0 + 63*i**2 - 9/2*i**3. Solve s(h) = 0 for h.
-1, 3
Let k(d) = -d**2 - 2*d + 1. Let x(g) be the second derivative of -g**4/3 + 8*g**3/3 - 24*g**2 + 135*g. Let q(h) = -2*k(h) + x(h). Let q(a) = 0. Calculate a.
5
Let z = -721/29 - -32887/203. Solve 246*q**2 + 136/7 - 14*q**3 - z*q = 0 for q.
2/7, 17
Let k(q) be the first derivative of 217*q**4/4 - 2*q**3/3 + 471. Determine m, given that k(m) = 0.
0, 2/217
Suppose -4*l = 20, 0*r - 28 = -r + 5*l. Suppose -2 = -p + 5*u - 0, -r*u = 5*p - 10. Factor 2*f**3 - 1 + 8*f + 2*f**p - f**5 + 12*f**4 - 13*f**4 - 9*f.
-(f - 1)**2*(f + 1)**3
Determine u so that 566098*u**5 + 8292*u**3 + 32*u - 5206*u**4 + 48*u - 1576*u**2 - 565376*u**5 = 0.
0, 2/19, 2, 5
Let s(j) = -11*j**2 + 112*j + 631. Let p(g) = -10*g**2 + 110*g + 630. Let v(y) = 6*p(y) - 5*s(y). Factor v(t).
-5*(t - 25)*(t + 5)
Find h such that -147*h**5 + 532 + 2112*h + 3459*h**2 - 3759*h**4 + 382*h**3 - 384*h**3 - 616 + 384 - 1963*h**3 = 0.
-25, -1, -2/7, 1
Let t = 50761 - 203039/4. Factor 75/4*q - 10 - t*q**3 - 15/2*q**2.
-5*(q - 1)**2*(q + 8)/4
Let v(s) = 7*s**2 + 34*s + 77. Let k be (24/((-24)/(-4)))/(-2). Let t(h) = 93*h**2 + 444*h + 1002. Let p(f) = k*t(f) + 27*v(f). Find x such that p(x) = 0.
-5
Factor 28/3*h**2 + 87*h + 270 + 1/3*h**3.
(h + 9)**2*(h + 10)/3
Let b(r) be the first derivative of -23*r**3/18 + 5*r**2/12 + 3*r - 270. Factor b(p).
-(p - 1)*(23*p + 18)/6
Let o(z) be the first derivative of 392*z**6/9 - 4676*z**5/15 + 2552*z**4/3 - 9952*z**3/9 + 704*z**2 - 192*z - 383. Suppose o(r) = 0. Calculate r.
1/4, 6/7, 2
Let z(w) be the third derivative of 11*w**6/420 + 13*w**5/105 - 20*w**4/21 - 32*w**3/21 + 8931*w**2. Let z(m) = 0. What is m?
-4, -4/11, 2
Find u, given that 6/11 - 8/11*u + 2/11*u**2 = 0.
1, 3
Suppose 5*l = 2*l + 18. Let w = l + 18. Factor 3*t**5 - 12*t - 11*t**3 + 30*t**2 - 24 - 10*t**3 - 12*t**4 + w*t**3.
3*(t - 2)**3*(t + 1)**2
Let l be (-10)/((-160)/(-136))*-2. Suppose d - 3*k - 5 = 1, -2*k - l = -5*d. What is m in -2/7*m**4 + 0 + 0*m + 0*m**2 + 0*m**d + 12/7*m**5 = 0?
0, 1/6
Let -52/3*g + 4*g**3 - 2*g**2 + 16 - 2/3*g**4 = 0. What is g?
-2, 1, 3, 4
Let l(f) be the second derivative of f**5/70 + 60*f**4/7 + 14400*f**3/7 + 1728000*f**2/7 - 807*f. Solve l(y) = 0.
-120
What is x in 29040/7*x**2 + 1816/7 - 32/7*x**3 + 14526/7*x = 0?
-1/4, 908
Let p(m) = -268*m - 4288. Let x be p(-16). Let j(k) be the first derivative of 0*k + 1/24*k**6 + 3/10*k**5 + x*k**3 + 9/16*k**4 + 0*k**2 + 34. Factor j(s).
s**3*(s + 3)**2/4
Let r(l) be the third derivative of -l**5/12 + 19*l**4/6 - 14*l**3 - 3*l**2 + 185*l. Factor r(d).
-(d - 14)*(5*d - 6)
Factor -2/3*a**2 + 22 - 16/3*a.
-2*(a - 3)*(a + 11)/3
Let c(t) be the second derivative of t**7/7 + 61*t**6/15 - 69*t**5 + 304*t**4 - 928*t**3/3 - 1022*t - 1. Determine p, given that c(p) = 0.
-29, 0, 2/3, 4
Let f = -308 - -722. Suppose -f*q + 426*q = 24. Find z, given that 1/6*z**3 + 4*z - 8/3 - 3/2*z**q = 0.
1, 4
Let z = 2013007/5 - 402597. Find t, given that 1/5*t - 1/5*t**3 - 22/5 + z*t**2 = 0.
-1, 1, 22
Find v such that 5*v**3 - 189*v**2 - 122*v**2 + 2*v**3 + 39*v**2 - 5*v**3 = 0.
0, 136
Let k(p) be the first derivative of 5*p**3/3 + 630*p**2 + 1255*p + 117. Factor k(r).
5*(