17*a + 45*a + q*a**2 - 13*a = 0. What is a?
-3, 0
Let b(v) = -37*v - 66. Let s be b(-2). Factor 262*w - s*w**2 - 480*w - 6*w**3 + 2*w**4 + 242*w.
2*w*(w - 3)*(w - 2)*(w + 2)
Let v be 0/((3/15)/(8/80)). Suppose -2*k + v + 10 = -2*t, -5*t = 5*k - 25. Factor 12/7*c**2 - 16/7*c + 4/7*c**3 + t.
4*c*(c - 1)*(c + 4)/7
Let x(h) be the first derivative of h**6/6 + 201*h**5 + 127005*h**4/2 + 756010*h**3/3 + 754005*h**2/2 + 251001*h - 925. Solve x(y) = 0 for y.
-501, -1
Let b = -280 - -284. Determine p so that 42*p**4 + 8*p**2 + 12*p**3 - 14*p**4 - 12*p**4 - 12*p**b = 0.
-2, -1, 0
Let g(a) be the second derivative of a**6/90 - a**5/12 - 4*a**4/3 + 14*a**3 + 63*a + 6. Find d such that g(d) = 0.
-7, 0, 6
Let p(t) be the first derivative of -225*t**4/16 + 1985*t**3/4 + 403*t**2 + 108*t + 23. Find o such that p(o) = 0.
-4/15, 27
Suppose 5*v**4 + 75*v**3 + 245 + 145*v - 95 + 277*v - 57*v + 285*v**2 = 0. What is v?
-10, -3, -1
Let b(m) = 5*m**4 + 22*m**3 + 76*m**2 - 28*m - 384. Let h(d) = -d**4 - d**3 - d**2 - d. Let x(j) = b(j) + 4*h(j). Factor x(t).
(t - 2)*(t + 4)**2*(t + 12)
Let t(k) be the second derivative of 3*k**6/5 - 13*k**5/5 - 101*k**4/2 - 164*k**3 - 224*k**2 - 5*k - 455. Let t(u) = 0. What is u?
-28/9, -1, 8
Solve v**2 - 1/2 - 13*v - 1/2*v**4 + 26*v**3 - 13*v**5 = 0 for v.
-1, -1/26, 1
Let a = -301375 + 301378. Suppose 1 + 1/4*x**4 + 13/4*x**2 - 3/2*x**a - 3*x = 0. Calculate x.
1, 2
Suppose 7*i + 180 = 11*i. Suppose -i = 12*s - 27*s. Determine v so that 18/5*v**4 + 4/5*v**2 + 0 + 22/5*v**s + 0*v = 0.
-1, -2/9, 0
Let c(t) be the first derivative of 0*t - 31/2*t**2 - 31 + 1/60*t**6 + 0*t**5 - 1/12*t**4 + 0*t**3. Let l(r) be the second derivative of c(r). Factor l(j).
2*j*(j - 1)*(j + 1)
Let u(x) be the third derivative of x**4/24 + 8*x**3/3 + 37*x**2. Let p be u(-14). Find s, given that 300*s + 22 + 21 - 50*s**3 + 137 + 65*s**p + 5*s**4 = 0.
-1, 6
Let q be (-13 - (11 + -32)) + (-6)/1. Let c(p) be the first derivative of -18 - 2/39*p**3 + 0*p - 1/13*p**q. Factor c(r).
-2*r*(r + 1)/13
Suppose -3*f - 5*b + 43 - 7 = 0, 2*f = -2*b + 16. What is m in -5*m**f + 25/3 + 70/3*m = 0?
-1/3, 5
Suppose 27*p = -46*p - 146. Let u be p/2*(6 - 2) - -6. Let -2/7*t**u - 12/7*t + 32/7 = 0. What is t?
-8, 2
Let c(l) = 53*l + 76. Let m be c(-5). Let d be (-68)/m - 10/135. Determine t, given that -d*t**3 + 8/7 - 6/7*t**2 + 0*t = 0.
-2, 1
Determine m so that 35*m**3 - 3*m**4 - 7*m**4 + 14*m**3 - 38*m**3 - m**5 = 0.
-11, 0, 1
Suppose 0*r - 6 = 3*r, 0 = -5*t + 2*r + 14. What is h in -h + 4 + 2*h**3 - 8*h**t + 4*h**5 - 5*h**5 + 40*h**4 - 16*h**4 - 20*h**4 = 0?
-1, 1, 4
Let f(m) = -2*m**3 - 12*m**2 + m + 8. Let k be f(-6). Let 300*r**2 - 146*r**k - 10 + 8*r - 152*r**2 = 0. Calculate r.
-5, 1
Let w(o) be the third derivative of 245/6*o**5 + 2*o**2 + 35/3*o**4 + 4/3*o**3 - 2*o + 0. Factor w(r).
2*(35*r + 2)**2
Let w(c) be the first derivative of 0*c**3 + 58 - 2/5*c**5 + 0*c**2 + 2*c**4 + 0*c. Suppose w(r) = 0. Calculate r.
0, 4
Suppose 6*i + 102 = 61 + 53. Factor 0 - 1/3*j**i - 1/3*j**5 + 1/3*j**4 + 1/3*j**3 + 0*j.
-j**2*(j - 1)**2*(j + 1)/3
Let h(s) be the first derivative of -43923*s**5/25 - 7986*s**4 - 14520*s**3 - 13200*s**2 - 6000*s + 7016. Factor h(k).
-3*(11*k + 10)**4/5
Solve 15*c**2 - 9*c + 92*c**4 + c**3 - 180*c**4 - 4*c**2 + 87*c**4 - 2*c**2 = 0.
-3, 0, 1, 3
Let i = 5418 - 108359/20. Let j(t) be the first derivative of 0*t - 1/15*t**3 - 1/10*t**2 + 1/25*t**5 + 1 + i*t**4. Find g such that j(g) = 0.
-1, 0, 1
Let n = -869620 - -869624. Find j, given that 0 + 16/11*j**3 + 62/11*j**2 + 4*j - 2/11*j**n = 0.
-2, -1, 0, 11
Let w(n) = -n**5 + n - 1. Let i(z) = 4*z**5 + 33*z**4 - 39*z**3 - 273*z**2 + 35*z + 247. Let f(b) = -i(b) - 7*w(b). Solve f(l) = 0.
-2, -1, 1, 5, 8
Let w(v) be the third derivative of v**8/12 + 388*v**7/105 - 21*v**6/10 - 194*v**5/15 + 28*v**4/3 - 169*v**2 + 2. Suppose w(h) = 0. Calculate h.
-28, -1, 0, 2/7, 1
Let v = 480 + -481. Let p be 6/8 + (-2)/(-8) - v. Factor 2/5*c - 7/5*c**p + 0.
-c*(7*c - 2)/5
Suppose -39 = -20*q + 41. Let u(z) be the second derivative of -5/12*z**q + 0 - 16*z - 5/3*z**3 - 5/2*z**2. Factor u(s).
-5*(s + 1)**2
Let -1/3*p**3 - 1088/3*p - 6656/3 - 58/3*p**2 = 0. Calculate p.
-26, -16
Let m(k) be the first derivative of 8/15*k**4 + 0*k**2 - 2/75*k**5 - 166 + 0*k**3 + 0*k. Factor m(t).
-2*t**3*(t - 16)/15
Let w(b) be the first derivative of 0*b - 22 + 1/6*b**3 + 0*b**2 - 3/16*b**4 + 1/20*b**5. Factor w(t).
t**2*(t - 2)*(t - 1)/4
Let v be 24/9*3/2. Suppose 0 = v*o - 18 + 2. Determine t so that -o + 25*t - 16 + 143*t**2 - 148*t**2 = 0.
1, 4
Let r(b) be the second derivative of 0*b**4 + 3*b + 1/12*b**5 - 15*b**2 + 0 - 10/3*b**3. Let j(l) be the first derivative of r(l). Factor j(d).
5*(d - 2)*(d + 2)
Let x(v) be the first derivative of -169*v**4/12 - 572*v**3/3 - 87*v**2/2 - 10*v/3 - 441. Solve x(u) = 0 for u.
-10, -1/13
Factor 34/3*p**3 + 11/3*p**4 + 0*p + 1/3*p**5 + 0 + 8*p**2.
p**2*(p + 1)*(p + 4)*(p + 6)/3
Let t = -8401 + 8401. Let v(w) be the second derivative of 6*w**2 + 5*w + 1/4*w**4 + t - 2*w**3. Factor v(p).
3*(p - 2)**2
Let a(b) be the third derivative of b**5/40 - 795*b**4/16 - 7234*b**2. Factor a(l).
3*l*(l - 795)/2
Let x be (-3 - 63)*(-1)/2. Suppose 5*q - x*q = -84. Factor -6*s**q - 9/2 + 3/2*s**4 + 3*s**2 + 6*s.
3*(s - 3)*(s - 1)**2*(s + 1)/2
Let q = -95 - -108. Solve q*l - 7*l + 44*l + 5*l**2 = 0.
-10, 0
Factor 616 - 4*f**2 + 444*f - 886*f + 430*f.
-4*(f - 11)*(f + 14)
Let c be (22 - (-33075)/(-1500))/(2/(-208)). Suppose -23/5*x + c*x**2 - 8/5*x**3 + 6/5 = 0. Calculate x.
1/2, 3/4, 2
Factor -170/13*y - 300/13 - 32/13*y**2 - 2/13*y**3.
-2*(y + 5)**2*(y + 6)/13
Let q(p) be the first derivative of -40/3*p**3 + 24*p**2 - 23/12*p**4 + 0*p - 1/15*p**5 - 272. Factor q(v).
-v*(v - 1)*(v + 12)**2/3
Let q(r) be the third derivative of -r**8/168 - 2*r**7/105 - 2164*r**2. Factor q(f).
-2*f**4*(f + 2)
Let g(y) be the third derivative of y**8/336 + y**7/210 - 17*y**6/120 + y**5/4 + y**2 + 99. Let g(k) = 0. What is k?
-5, 0, 1, 3
Let u = 85/3 - 28. Let g = -1/15529 + 31061/46587. Factor u*z**2 + g - z.
(z - 2)*(z - 1)/3
Let o(w) be the third derivative of 25*w**8/896 + 153*w**7/56 - 11211*w**6/320 + 2941*w**5/20 - 3459*w**4/16 + 153*w**3 - w**2 + 593. Solve o(s) = 0.
-68, 2/5, 3
Let o be 1 + 40 - (5 + -11). Find d, given that o + 51*d - 28 + 57*d**2 - 25 = 0.
-1, 2/19
Let x be -5 + 10 + -3 - 0. Let g(q) be the first derivative of 4/5*q - 1/5*q**x + 1/10*q**4 - 2/5*q**3 + 2/25*q**5 + 23. Factor g(m).
2*(m - 1)**2*(m + 1)*(m + 2)/5
Let h be -1 + -6 + 11 + -4. Let r(c) be the second derivative of 7/3*c**4 - 47*c + h + 0*c**2 - 2*c**3. Find s, given that r(s) = 0.
0, 3/7
Let n be ((-225)/75)/(1/(-1)). Let s(l) be the third derivative of -5/6*l**n + 0 + 17*l**2 - 1/12*l**5 + 5/12*l**4 + 0*l. Solve s(q) = 0.
1
Let g = -55229 - -7455979/135. Let w = g + -2/27. Factor w*q**2 + 0*q + 0.
2*q**2/5
Let k be (-10)/(-4)*(-12)/(-10). Let r be (6/12*-1)/2*(3 + -8). Factor -1/4*l**k + 1/2 - r*l + l**2.
-(l - 2)*(l - 1)**2/4
Let m(x) be the first derivative of -2*x**6/3 - 4*x**5 + 6*x**4 - 1735. Solve m(l) = 0 for l.
-6, 0, 1
Let i(m) be the first derivative of 31*m + 0*m**2 - 3/10*m**5 - 16 + 1/10*m**6 - 1/4*m**4 + m**3. Let c(x) be the first derivative of i(x). Factor c(s).
3*s*(s - 2)*(s - 1)*(s + 1)
Let j(o) = -8*o**2 + 9*o + 22. Let s(p) = 15*p**2 - 18*p - 42. Let z be 602/70 - 2/(-5). Let g(w) = z*j(w) + 5*s(w). Let g(x) = 0. What is x?
-1, 4
Factor -25190406*j + 34410094596 + 6147*j**2 - 1/2*j**3.
-(j - 4098)**3/2
Suppose 1020*f - 813 = 2247. Let 2/7*s**f - 6/7 - 2/7*s + 6/7*s**2 = 0. Calculate s.
-3, -1, 1
Let i = -12 + 92. Factor 10 + i*d + 430*d**2 - 392*d**2 - 2.
2*(d + 2)*(19*d + 2)
Let z(j) = j**3 - 12*j**2 + j + 7. Let v be z(11). Let f = -99 - v. Factor 9*r**2 - 4*r + 4*r**3 - 8 - f*r**4 + 0*r**4 + 7*r**2 - 4*r**2.
-4*(r - 2)*(r - 1)*(r + 1)**2
Let z(r) be the third derivative of 0*r + 1/12*r**5 - 41*r**2 + 2/3*r**3 - 1/3*r**4 + 0 - 1/120*r**6. Suppose z(s) = 0. Calculate s.
1, 2
Let u(w) = -25*w**3 - 440*w**2 - 1945*w + 2430. Let p(h) = 8*h**3 + 148*h**2 + 648*h - 810. Let x(d) = 10*p(d) + 3*u(d). Factor x(l).
5*(l - 1)*(l + 6)*(l + 27)
Let o(n) = n**2 - 7*n - 99. Let k be o(15). Solve -41 + k - 10*v**2 + 14*v**2 - 16*v = 0 for v.
-1, 5