at is w in 2/7*w**2 - v*w + 0 = 0?
0, 3
Let h(f) be the first derivative of -2*f**3/3 + 114*f**2 + 702*f - 2458. Find n such that h(n) = 0.
-3, 117
Let t(a) be the second derivative of 3*a + 0*a**3 + 0*a**2 + 0 + 1/8*a**4 - 1/120*a**6 + 1/80*a**5. Determine h, given that t(h) = 0.
-2, 0, 3
Find h such that -1/3*h**4 + 15*h - 15*h**3 - 85/3*h**2 + 86/3 = 0.
-43, -2, -1, 1
Let p(l) be the second derivative of l**7/189 + 2*l**6/135 - l**5/9 - 4*l**4/27 + 11*l**3/9 - 2*l**2 + 728*l. Solve p(s) = 0 for s.
-3, 1, 2
Determine m, given that -33*m**2 - 7*m**2 - 1025*m**4 + 1015*m**4 + 104*m**3 = 0.
0, 2/5, 10
Let z(d) be the second derivative of -5/2*d**3 + 0 + 105*d - 1/2*d**4 - 3*d**2. Determine y, given that z(y) = 0.
-2, -1/2
Let s(t) be the third derivative of 0*t**4 + 0*t**3 - 1/12*t**6 + 22*t**2 - 2*t - 1/126*t**7 + 0 + 0*t**5. What is q in s(q) = 0?
-6, 0
Let r be (-24)/15*(7975/(-220) - -36). Let 0*b - 32/5 + r*b**2 = 0. What is b?
-4, 4
Suppose 0 = 86*t - 74*t. Let b(w) be the second derivative of t*w**3 - 1/45*w**6 + 0*w**4 + 0*w**2 - 16*w + 1/30*w**5 + 0. Factor b(v).
-2*v**3*(v - 1)/3
Let p(j) be the second derivative of -7/69*j**3 + 5/23*j**2 + 2/115*j**5 + 0 - 4/69*j**4 + 52*j. Let p(y) = 0. What is y?
-1, 1/2, 5/2
Let p(i) be the second derivative of -i**7/840 - i**6/160 + i**5/60 + i**4/8 - 24*i**2 - 138*i. Let y(h) be the first derivative of p(h). Solve y(l) = 0.
-3, -2, 0, 2
Let f(j) = -21*j**4 + 14*j**3 + 3*j**2 - 4*j - 20. Let t(v) = -v**3 - v**2 + v + 5. Let l(d) = -5*f(d) - 20*t(d). Find a such that l(a) = 0.
0, 1/7, 1/3
Let i be 42975/5730*(-2)/(-20). Find y such that 6 - i*y**2 - 1/4*y = 0.
-3, 8/3
Suppose s + 47 = 51. Solve 6*y**2 - 5*y**4 + 16*y**3 - 36*y - 4*y**s - 27 + 6*y**4 - 4*y**3 = 0 for y.
-1, 3
Let g(r) be the first derivative of -r**7/126 - r**6/30 + r**5/60 + r**4/12 - 128*r - 102. Let q(n) be the first derivative of g(n). Find b such that q(b) = 0.
-3, -1, 0, 1
Suppose 14256 = 258*u + 930*u. Let -16/3*l**2 + 0 - u*l**3 + 10/3*l**4 + 0*l = 0. Calculate l.
-2/5, 0, 4
Factor -229*d - 950 + 1138*d - 3*d**2 + 36*d + 8*d**2.
5*(d - 1)*(d + 190)
Let s(n) be the second derivative of -n**4/4 - 38*n**3 + 480*n**2 + 180*n + 1. Factor s(b).
-3*(b - 4)*(b + 80)
Let v(b) be the second derivative of -5*b**7/42 + 77*b**6/6 - 797*b**5/2 + 10825*b**4/6 - 20905*b**3/6 + 6845*b**2/2 - 1108*b. Factor v(l).
-5*(l - 37)**2*(l - 1)**3
Let y(k) be the second derivative of 0 + 0*k**4 + 19*k - 5*k**2 + 0*k**3 - 1/270*k**5. Let i(b) be the first derivative of y(b). What is a in i(a) = 0?
0
Let s(w) be the first derivative of 2*w**3/3 + 83*w**2/6 - 35*w + 915. Factor s(r).
(r + 15)*(6*r - 7)/3
Let u = -544 + 547. Let p(d) be the first derivative of -1/18*d**4 + 16/9*d + 3 + 4/9*d**2 - 4/27*d**u. Find g, given that p(g) = 0.
-2, 2
Suppose 142*h + 405 = 187*h. Let p(z) be the first derivative of 1/24*z**4 - 1/4*z**2 + 0*z**3 + h + 1/3*z. Find m, given that p(m) = 0.
-2, 1
Let s(i) be the first derivative of i**3/7 - 87*i**2/14 - 90*i + 13657. Solve s(h) = 0 for h.
-6, 35
Let n = 1250800 - 1250796. Factor 0*m + 2/11*m**n + 30/11*m**2 + 0 - 16/11*m**3.
2*m**2*(m - 5)*(m - 3)/11
Let r be (-6 + 6)/(-4 + 0). Let w be 6 + (-124)/31 + 1 + r. Factor 0 - 19/5*a**2 + 6/5*a + 3/5*a**w.
a*(a - 6)*(3*a - 1)/5
Let w(v) = 27*v - 21. Let t(a) = -6*a - 1. Let z(m) = 10*t(m) + 2*w(m). Let p be z(-9). Factor -35/2*h**3 - 10*h + 0 + 40*h**p.
-5*h*(h - 2)*(7*h - 2)/2
Let g = 322559/100795 + -3/20159. Suppose 2/5*l**3 + 28/5*l + 14/5*l**2 + g = 0. What is l?
-4, -2, -1
Suppose 5*c + 10 = 0, 4*c + 19 = 64*b - 63*b. Let r(l) be the third derivative of 0*l + 4/27*l**3 + 0 + b*l**2 - 1/36*l**4 - 1/270*l**5. Factor r(i).
-2*(i - 1)*(i + 4)/9
Let s(n) be the first derivative of n**4/12 + 25*n**3/9 + 104*n**2/3 + 192*n - 6251. Solve s(q) = 0 for q.
-9, -8
Solve 25*p**2 + 10*p**2 + 21*p**4 - 23*p**2 + 21*p**2 + 27*p**2 - 216*p**3 = 0 for p.
0, 2/7, 10
Suppose 94 = 5*i + 79. Let x(m) = 44*m**2 - 232*m + 352. Let g(l) = 4*l**2 - 21*l + 32. Let p(v) = i*x(v) - 32*g(v). Factor p(y).
4*(y - 4)*(y - 2)
Let k(m) = -m**2 + 2*m + 14. Let z be k(6). Let r be (-1145)/z*2 - -1. Determine n, given that r - n**2 + n - 230 = 0.
0, 1
Let h(z) be the third derivative of 0 + 1/168*z**8 - 13/60*z**6 + 0*z**4 - 14*z**2 + 0*z**7 - 2/5*z**5 + 0*z**3 - 8*z. Let h(m) = 0. What is m?
-3, -1, 0, 4
Factor -1/2*c**2 + 15*c + 0.
-c*(c - 30)/2
Let t be (18*(-9)/18 + (38 - 27))*3/4. Let k be (-3)/(0 - 3/2). Solve 9 - 21/2*z + t*z**k = 0.
1, 6
Solve -861 - 139 - 4*l**4 - 20946*l**3 + 20862*l**3 - 1500*l - 767*l**2 + 187*l**2 = 0.
-10, -5, -1
Let u = 13447 - 13444. Let m(z) be the first derivative of 1/6*z**u + 5 - 1/2*z**2 + 0*z + 1/8*z**4. Factor m(c).
c*(c - 1)*(c + 2)/2
Let p(n) be the first derivative of 1/22*n**4 + 75/11*n**2 - 250/11*n - 10/11*n**3 - 76. Factor p(z).
2*(z - 5)**3/11
Let j be 1928/3615 - 1/5. Let n(h) be the second derivative of -19*h + 0 + 1/30*h**5 - 8/3*h**2 - j*h**4 + 4/3*h**3. Factor n(s).
2*(s - 2)**3/3
Suppose 2*c = x + x - 14, -4*x + 3*c = -24. Suppose -4*h = x*s + 2, 5*h + 10 = -0*h. Solve a**4 - 6*a**2 + 3*a**3 + 7*a**s - 3*a - 8 + 6 = 0 for a.
-2, -1, 1
Solve -778034*y - 1961072*y**2 + 0 - 40077*y**3 - 5/8*y**5 - 274*y**4 = 0.
-146, -2/5, 0
Let i(y) be the second derivative of -y**6/15 - 8*y**5 - 77*y**4/2 + 4*y**3/3 + 308*y**2 - 3189*y - 2. Determine r so that i(r) = 0.
-77, -2, 1
Suppose -346 = -46*m + 22. Let p(h) be the third derivative of -1/60*h**5 + 0 + 0*h - m*h**2 + 1/6*h**4 - 1/2*h**3. Factor p(r).
-(r - 3)*(r - 1)
Let r(i) = 4*i**2 - 3958*i - 1964162. Let a(d) = -10*d**2 + 11876*d + 5892486. Let b(x) = -3*a(x) - 8*r(x). Factor b(o).
-2*(o + 991)**2
Let c(q) = q**3 + q**2 + q + 1. Suppose 221 = 15*x + 206. Let z(o) = -3*o**3 - 4*o**2 - 13*o - 4. Let k(b) = x*z(b) + 6*c(b). Factor k(a).
(a - 1)*(a + 2)*(3*a - 1)
Suppose 15 = w + 2*y, 2*w + 3*y = 11 + 14. Let b be 4/((-8)/w)*16/(-20). What is h in -b*h**3 - 22*h**2 + 12*h**2 + 10*h**2 = 0?
0
Let b(h) = -3*h**5 + 50*h**4 - 123*h**3 - 176*h**2 + 8*h. Let u(l) = -2*l**5 + 33*l**4 - 82*l**3 - 117*l**2 + 5*l. Let g(a) = 5*b(a) - 8*u(a). Factor g(i).
i**2*(i - 8)*(i - 7)*(i + 1)
Let k = -1588117/40 + 39703. Let o(s) be the second derivative of 0 + 3/2*s**3 + 6*s**2 - 3/8*s**4 + 31*s - k*s**5. Determine z, given that o(z) = 0.
-4, -1, 2
Let q(t) be the second derivative of -9*t**7/56 + 407*t**6/40 + 999*t**5/80 - 499*t**4/16 - 81*t**3/2 + 69*t**2/2 - 2*t - 204. Solve q(k) = 0.
-1, 2/9, 1, 46
Suppose -3*q = 4*t - 4591, 2*q = 3*t - 5402 + 1980. Let l = -519 + t. Let 4*r**3 + l + 152*r**2 + 2291 - 44*r**2 + 972*r = 0. Calculate r.
-9
Let o(b) be the second derivative of -b**5/2 + 4*b**4/3 - b**3 - 4728*b. Suppose o(m) = 0. Calculate m.
0, 3/5, 1
Let w(t) be the third derivative of 1/5*t**3 + 1/50*t**5 + 1/6*t**4 + 0*t + 50 - 2*t**2. Determine a so that w(a) = 0.
-3, -1/3
Let x(r) = -r**3 + 119*r**2 - 780*r - 6. Let t be x(7). Solve 16/3 - 8*o - t*o**5 - 260/3*o**2 - 296/3*o**4 - 150*o**3 = 0.
-2, -1, -2/3, 2/11
Let c = 3158 + -3156. Let u(o) be the first derivative of -4/3*o**3 + 8*o - 2*o**c - 3. What is t in u(t) = 0?
-2, 1
Suppose 366 - 338 = 14*r. Let i = 28 - -273. Factor v**3 - 301*v**r - v + i*v**2.
v*(v - 1)*(v + 1)
Let x = -69407/3 + 23139. Let j(t) be the second derivative of 26*t - 11/6*t**4 - x*t**3 - 2/5*t**5 + 0 - 3*t**2. Factor j(i).
-2*(i + 1)**2*(4*i + 3)
Factor -20*y**4 - 2423*y**5 - 72*y**2 + 66*y**3 + 4839*y**5 - 2414*y**5.
2*y**2*(y - 4)*(y - 3)**2
Determine k so that 0 - 14/3*k**2 - 22/3*k**3 + 14/3*k**4 - 2/3*k**5 + 8*k = 0.
-1, 0, 1, 3, 4
Let p(k) be the third derivative of -k**6/300 - 11*k**5/75 - 7*k**4/4 - 48*k**3/5 + 8*k**2 + 55. Factor p(l).
-2*(l + 3)**2*(l + 16)/5
Factor 5/2*y**3 - 88 + 266*y - 116*y**2.
(y - 44)*(y - 2)*(5*y - 2)/2
Let u(f) = 2*f**3 - 31*f**2 - 91*f. Let q be u(-3). Let n = 668/11 + q. Solve 2/11*i**4 + 4/11*i**3 - n*i**2 + 0 - 16/11*i = 0.
-2, 0, 2
Let f = 320 - 318. Solve -878*y**f + 3766*y**2 - 11 + 13 + 152*y = 0 for y.
-1/38
Let t = 17518 + -17514. Let k(p) be the second derivative of 0 + 26*p + 13/10*p**5 + 4*p**2 + 20/3*p**3 - 37/6*p**t. Factor k(d).
2*(d - 2)*(d - 1)*(13*d + 2)
Let o(v) be the second derivative of v**5/90 + 13*v**4/18 + 85*v**2/2 - 4*v + 4. Let i(